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•AaiMusavs^c. 






LOGARITHMIC 

AND 

TRIGONOMETRIC 
TABLES 

WILCZYNSKI — SLAUGHT 



ALLYN AND BACON 



Digitized by tine Internet Archive 
in 2010 



http://www.archive.org/details/logaritlimictrigoOOwilc 



LOGARITHMIC AND TRIGONOMETRIC 



TABLES 



COMPILED BY 



E. J. WILCZYNSKI, Pn.D. 

THE UNIVERSITY OF CHICAGO 



EDITED BY 

H. E. SLAUGHT, Ph.D. 

THE UNIVERSITY OF CHICAGO 



o>»;o 



ALLYN AND BACON 

Boston Nebj gork Cljirago 



COPYRIGHT, 1914, BY 
E. J. WILCZYNSKI 



J. 8. Gushing Co. — 15orwi<k & Smith Co. 
Norwood, Mass., U.S.A. 



PREFACE 

These tables are intended primarily for use in connection with 
our Plane Trigonometry and Applications. But they may be used 
equally well with other texts, and for the purposes of surveying 
and engineering practice. We believe that they have the follow- 
ing advantages over other similar compilations. 

1. Tlie typography and spacing. Continued use of numerical 
tables is usually hard on the eyes. We have attempted to re- 
lieve the strain on the computer's eyes by the use of generous 
spacing and variety of type. 

2. The presence of Table III. Most collections of tables either 
make no provision at all for the logarithms of the functions of 
small angles, or else depend entirely on the use of the auxiliaries 
S and T, which are apt to be somewhat obscure to the beginner. 

3. Table IV, for the auxiliaries S and T, has been calculated on 
the assumption that the angle is expressed in minutes. In most 
other collections, these quantities are tabulated for angles ex- 
pressed in seconds, which is far less convenient for most purposes. 

4. A table of the values of the natural functions to five decimal 
places is practically useless, unless the computer has access to 
large product tables, or uses a computing machine. We have 
therefore inserted a four-place table of the natural functions, 
giving their values for every tenth of a degree. 

5. Tlie table of squares in any collection should permit the 
same degree of accuracy as the corresponding table of natural 
functions. We have therefore included a four-place table of 
squares (reproduced from Bremiker), arranged just like a table 
of logarithms and in a form actually adapted to trigonometric 
work rather than to the theory of numbers. Most of the tables 
of squares which have appeared in our trigonometries are so 
cumbersome and inconvenient as to be practically useless. 

6. 77*6 three-place tables IX, X, and XI are, on account of their 
compactness, especially useful for calculations involving no more 
than three digits. By means of these tables a somewhat greater 
accuracy, and about the same speed may be attained as Avith the 
ordinary size of slide rule. They have the further advantage of 
enabling the computer to avoid a considerable part of the strain 
which careful slide rule work produces upon the eye. 

In compiling this work, use has been made of various standard 
tables, notably those of Bremiker. 

E. J. WILCZYNSKI, 

H. E. SLAUGHT, Editor. 



CONTENTS 



TABLE I 

PAOE 

Five-place Logarithms of Numbers 1 

TABLE II 

Five-place Logarithms of the Trigonometric Functions 

FOR Every Minute of Arc from 0° to 90° ... 23 

TABLE III 

Five-place Logarithms of the Trigonometric Functions 
for Every Second of Arc from 0° 0' to 0° 3' and for 
Every Ten Seconds from 0° to 2° 69 

TABLE IV 
Five-place Values of the Auxiliaries S' and T' . . . 76 

TABLE V 

Four-place Values of the Natural Trigonometric Func- 
tions FOR Every Tenth of a Degree from 0° to 90° . 77 

TABLE VI 

Four-place Values of the Squares of Numbers from 0.000 

to 3.500 85 

TABLE VII 
Table for Transforming Angles . . . . . .93 

TABLE VIII 
Constants 94 

TABLE IX 
Three-place Values of the Trigonometric Functions 95 

TABLE X 
Three-place Logarithms of Numbers 96 

TABLE XI 
Three-place Logarithms of the Trigonometric Functions 07 



V 



INTRODUCTION TO THE TABLES 



Tahle I 

1. Definition of a common logarithm. The common log- 
arithm of any positive number N is the exponent of the power to 
which the base 10 viust be raised in order to produce the num- 
ber N. 

2. Properties of logarithms. The following properties of 
logarithms are of importance for the purposes of numerical 
calculation.* 

1. The logarithm of a product is equal to the sum of the 
logarithms of its factors. 

2. The logarithm of a quotient is equal to the logarithm of the 
dividend minus the logarithm of the divisor. 

3. The logarithm of the p^'' power of a number M is obtained 
by multiplying the logarithm of M by p. 

4. The logarithm of the n"" root of a number Mis obtained by 
dividing the logarithm of M by n. 

5. The logarithm of ten is equal to unity. 

6. The logarithm of unity is equal to zero. 

The positive integral powers of 10, such as 10, 100, 1000, 
etc., the negative integral powers of 10, such as 0.1, 0.01, 
0.001, etc., and the zero power of 10, which is equal to 1, are 
the only numbers whose common logarithms are integers. 
The logarithms of all other numbers have an integral and a 
fractional part. 

The fractional part of the logarithm is called the mantissa, 
while the integral part of the logarithm is known as its char- 
acteristic. 

3. Properties of the mantissa. We consider the mantissa 
and the characteristic separately because, in practice, the 
method for finding the characteristic of a logarithm is entirely 
different from that employed for finding its mantissa. The 
reason for this will appear from the following discussion. 

* For a proof of these properties, see Plane Trigonometry and Applications, 
by E. J. WiLCZYNSKi, edited by H. E. Slaught. 

vii 



viii INTRODUCTION TO THE TABLES 

Let us grant that we have found out in some way that 

(1) log 1.77828 = 0.25000. 

From the theorem about the logarithm of a product, we 
conclude 

log 17.7828 = log (1.77828 X 10) = log 1.77828+ log 10 

= 0.25000 + 1 = 1.25000, 
log 177.828 = log (1.77828x100) = log 1.77828 + log 100 

= 0.25000 + 2=2.25000, 

We observe that the numbers 1.77828, 17.7828, 177.828, 
etc., contain the same succession of digits, and differ from 
each other only in the position of the decimal point. Their 
logarithms, on the other hand, whose values we have just 
calculated, differ from each other only in the value of the 
characteristic. 

Again, if we make use of the theorem about the logarithm 
of a quotient, we find from (1) 

log 0.177828 = log 1:1^= 0.25000 - 1, 
log 0.0177828 = log ^^^^ = 0.25000 - 2, 



Now, the negative quantities, which appear on the right 
members of these equations, are not written in the form 
which we ordinarily use for negative quantities. Thus, for 
instance, we have found the value of log 0.0177828 to be 
0.25000 — 2, a result which we should ordinarily write in the 
form — 1.75000 to which it is obviously equal. If we agree 
to write every negative logarithm in this unusual form, as a 
difference between a positive proper fraction and an integer, 
thus making its fractional part positive, we gain the advan- 
tage that the mantissas will be the same for any two numbers 
which contain tlie same succession of digits, even if none of 
these digits appear to the left of the decimal point. We 
avoid, in this way, the necessity of using two different tables 
of mantissas, one for numbers greater and one for numbers 
less than unity. 

Let us recapitulate the result of our discussion in two 
formal statements. 



INTRODUCTION TO THE TABLES ix 

I. We agree to express the logarithm of any positive number 
N in such a form that its mantissa shall he positive. 

This can be done whether log N is positive or negative, 
that is, whether N be greater or less than unity. In the 
latter case, the negativeness of log N is brought about en- 
tirely by means of the negative characteristic. 

As a consequence of this agreement, the following state- 
ment will be true in all cases. 

II. If two numbers contain the same succession of digits., that 
is, if they differ only in the position of the decimal point, their 
logarithms tvill have the same mantissa and ivill differ only in 
the value of the characteristic. 

It is for this reason that the tables give only the mantissas 
of the logarithms and that, in looking up the mantissas, we 
pay no attention to the position of the decimal point in the 
given number. 

4. Determination of the characteristic. The characteristic 
of a logarithm is easily determined by inspection. Its value 
depends merely on the position of the decimal point. Since 
we have 

100 = 1, 101 = 10, 102 = 100, 103 = 1000, etc., 
or 

log 1 = 0, log 10 = 1, log 100 = 2, log 1000 = 3, etc., 

we draw the following conclusions : 

If 1 < N< 10, then < log iV < 1. .-. log N has the 
characteristic 0. 

If 10 < iV^ < 100, then 1 < log iV^ < 2. . •. log iVhas the 
characteristic 1. 

If 100 <N< 1000, then 2 < logiV'< 3. .-. log N has 
the characteristic 2. 



If 10*<iV< 10*+i, then k < \ogN<k + 1. .-. log iV has 
the characteristic k. 

We may formulate these results as follows : 

III. If k is a positive integer, and if the number N lies be- 
tween 10* and 10*"^!, the characteristic of log N is equal to k. 

Since such a number iVhas k + 1 digits to the left of the 
decimal point, we obtain the following rule : 



X INTRODUCTION TO THE TABLES 

IV. IfNis any number greater than 1, the characteristic of 
its logarithm is one less than the number of digits in its inte- 
gral part. 

The student is advised to make but little use of this rule 
on account of its mechanical character. Statement III pro- 
vides a better method (less mechanical and easier to remem- 
ber), for determining the characteristic. 

It remains to show how to find the characteristic of log N 
when iV< 1. 

If .1 < ]V< 1, then - 1 < log N< 0. .-. log iV^has the 
characteristic — 1. 

If .01 < N< .1, then - 2 < log i\^< - 1. .-. log iV has 
the characteristic — 2. 

If .001 <iV^< .01,then-3<logiV< - 2. .-. logiVhas 
the characteristic — 3. 

I^ l^^^<i|^'*^^° _(A:+l)<logi\r< -k. .-.log 

iVhas the characteristic —{k+ 1). 

Examination of this table leads to the following two state- 
ments, either of which may be used to determine the char- 
acteristic of log iVwlien iV< 1. 

If k is a positive integer^ and if the number N lies between 

■ — ■ and : the characteristic of log His — (A: + 1). 

IQk lQk+1 -" ^ ^ ^ 

If N is less than 1, and if there are k zeros betiveen the deci- 
mal point and the first significant figure of iV when iV is ex- 
pressed as a decimal fraction^ the characteristic of its logarithm 
is —(k-\- 1). 

In one of our illustrations we had found 

log 0.0177828 = 0.25000 - 2. 
We mvist never write this in the form 

log 0.0177828 = - 2.25000, 
since only the characteristic is negative and not the fractional part. 
Some computers use the notation 

log 0.0177828 = 2.25000 ; 
but for most purposes it is preferable to write 

log 0.0177828 = 8.25000 - 10, 

and similarly 

log 0.177828 = 9.25000 - 10. 

In other words, in actual practice, we write a positive char- 
acteristic 10 — k in place of the negative characteristic — k, and 
then subtract 10 from the whole logarithm. 



INTRODUCTION TO THE TABLES xi 

5. Arrangement and use of the table of logarithms. We 
have already mentioned the fact that the table of logarithms 
gives only the mantissas. The characteristics must be sup- 
plied by the computer by the methods of Art. 4. 

Table I gives the mantissa, for every number from 1 to 9999, 
to five decimal places. In order to explain the arrangement 
and use of this table, we shall now solve a number of typical 
examples. 

Problkm 1. Find the logarithm of 221.4. 

Solution. To find the mantissa we ignore the decimal point. We 
read down the left-hand column of the table (headed N) until we find 
the first three digits of our number, viz. : 221. The numbers printed in 
the same horizontal row with 221 are, in order, the mantissas of the 

logarithms of 2210, 2211, 2212, , 2219, as indicated by the 

number at the head of each of the next ten columns. To save space, 
however, the first two digits of the mantissa are never printed more than 
once in each row. In our case we find the mantissa, from the column 
headed 4, to be .34518. Since 221.4 is between 100 = lO-^ and 1000 =103, 
the characteristic is 2. Therefore 

log221.4 = 2.34518. 

Problem 2. Find log 22..39. 

Solution. Looking for tlie mantissa as before, we find *005. The 
asterisk indicates that the first two digits of the mantissa are not 34, as 
one might suppose, l)ut 35. The reason for this appears clearly from the 
table. Therefore 

log 22.39 = 1.35005. 

If the number N contains more than four digits its loga- 
rithm cannot be read directly from the table. But it may 
be found by interpolation. We illustrate this process by an 
example. 

Problem 3. Find log 222.73. 

Solution. From the table we find, supplying the characteristics our- 
selves, 

log 222.70 = 2.34772 

log 222.80 = 2.34792 

Tabular difference = 0.00020 = 20 units of the fifth decimal place. 
Since 222.73 is t% of the way from 222.70 toward 222.80 we add j'^ of 
the tabular difference to log 222.70. Therefore 

log 222.73 = 2.34772 + j^^ of 0.00020, 
or 

log 222.73 = 2.34772 -|- 0.00006 = 2.34778. 

The auxiliary tables in the margin, headed P P (abbre- 
viation for proportional parts), facilitate the process of in- 
terpolation. 



xii INTRODUCTION TO THE TABLES 

Thus, in problem 3, we refer to the auxiliary table with 20 (the 
tabular difference) at its head. In the thii-d row we find /y of 20 or 6.0. 

It remains to show how to find the number when its loga- 
rithm is given. 

Problem 4. Given log N = 9.34857 - 10. Find the value of N to 
five significant figures. 

Solution. The characteristic of log iV" is 9 — 10 or — 1. Therefore, 
the number N must be between 10" ^ = 0.1 and 10° = 1. Consequently, 
the decimal point will precede the first significant figure of N. 

The mantissa 34857 does not occur in the table, but it falls between 
the two tabular mantissas 34850 and 34869. Thus we have : 

9.34850 - 10 = log 0.22310 (from the table), 

9.348.57 - 10 = log iV, 

9.34869 - 10 = log 0.22320 (from the table), 

so that N lies between 0.22310 and 0.22320. 

We observe that log N lies j'^ of the way from log 0.22310 toward log 
0.22320. Therefore, N lies ^% of the way from 0.22310 toward 0.22320. 
That is, 

N = 0.22310 + j\ of 10 units of the fifth decimal place. 
But 

j\ of 10 units = ^^ units = 3|| units. 

Since ^f is more than one half, we call this 4 units, so that 
N = 0.22310 + 0.00004 = 0.22314. 
Also in this inverse problem (to find the number when its 
logarithm is given), interpolation is aided by the auxiliary 
tables in the margin. 

Thus, in problem 4, the tabular difference is 19. The difference be- 
tween log N and the smaller of the two tabular logarithms, between 
which log N lies, is 7. The auxiliary table with 19 at its head shows 
that, among the tenths of 19, that one which comes closest to the value 
7 is the fourth. Consequently, iV is ^ of the way from 0.22310 toward 
0.22320. Therefore, up to five decimal places, N = 0.22310 + 0.00004 = 
0.22314. 

6. Cologarithms. Since we obtain the same result whether 
we divide iVby M, or multiply iVby l/M, we may, in a loga- 
rithmic calculation, add the logarithm of l/i!f instead of sub- 
tracting log M. The logarithm of 1/Mis called the cologarithm 
of M. Therefore 

colog Jf = log ■— = log 1 — log M= — log M, 

since log 1 is equal to zero. 

Cologarithms, like logarithms, are written with a positive 
mantissa. Consequently, the cologarithm of a number is 
most easily found by subtracting its logarithm from zero, 



INTRODUCTION TO THE TABLES xiii 

written in the form 10.00000 — 10, as in the following 
example. 

Problem 5. Find the cologarithm of 222.73. 
Solution. 

10.00000 - 10 

log 222.73 = 2.34778 

coTog 222.73 = 7.65222 - 10 

It is easy to perform this operation of subtraction from 
10.00000 — 10 mentally. There is no gain, however, from the 
use of cologarithms when we are dealing with a quotient of 
only two numbers. A real advantage is gained by the intro- 
duction of cologarithms, when more than two logarithms are 
to be combined by addition and subtraction. For the loga- 
rithms which are to be subtracted we then substitute cologa- 
rithms, enabling us to complete the operation by a single 
addition. 

It often happens, just as in the case of forming a cologa- 
rithm, that we wish to subtract a logarithm from another 
smaller one. In all such cases we change the form of the 
minuend by adding and subtracting 10, or some convenient 
multiple of 10, as in the following example. 

Problem 6. Compute "" . 
^ 472.3 

Solution. We find from Table I, 

log32..34= 1.50974, 

log 472.3= 2.67422. 

In order to subtract the latter logarithm from the former, we write 

log 32.34= 11.50974- 10* 

log 472.3 = 2.67422 

log ^^ = 8.835.52 - 10 
^ 472.3 

Hence (from the table), ?^ = 0.068473. 
^ ^ 472.3 

7. Extraction of roots by means of logarithms. Since 

log -^x = log x^^'' — - log a;, 
P 
it is easy to extract roots of any order l)y means of logarithms. 

If the characteristic of log x is not negative, no further re- 
mark is necessary. If log x is negative, we proceed as in the 
following example : 



* A computer with some experience will refrain from actually writinR the 
logarithm in the form 11.50974 — 10. It is easy for him to carry out the calculation 
as though it were so written. 



xiv INTRODUCTION TO THE TABLES 

Problem 7. Compute by logarithms: V.53760, \^.53760, and \^.53760. 
Solution, log 0.53760 = 9.73046 - 10. 



log V.58760 = \ log 0.53760 = I (19.73046 - 20) = 9.86523 - 10. 
log v^:53760 = i log 0.53760 = \ (29.73046 - 30)= 9.91015 - 10. 
log v^.53760 = I log 0.53760 = \ (49.73046 - 50) = 9.94609 - 10. 
Therefore, from Table I, 



V,53760 = .73322, V.5376U = .81312, V..53760 = .88326. 

8. Logarithmic CEilculations which involve negative numbers. 

We have defined only the logarithms of positive numbers. 
But this suffices for our purposes. Clearly, when we com- 
pute a product or quotient, its numerical value may be found 
first, without paying any attention to the signs of the various 
factors. . Afterwards, the proper sign ( + or — ) may be pre- 
fixed to the result according as there were an even or odd 
number of negative factors. 

The easiest way to keep a count of the negative factors is 
to use the method, introduced by Gauss, of writing the 
letter n immediately behind a logarithm which corresponds 
to a negative number. In forming a sum or difference of 
logarithms, we write an n after the result only if an odd 
number of the separate logarithms were affected by an n. 

Example. If iV = — 221.73, we write 

log iVr= 2.34778 n. 

Table II 

Table II gives the values of the logarithms of the trigono- 
metric functions, to five decimal places, for every minute of 
arc. If the angle contains fractional parts of a minute, we 
obtain its functions from the table by interpolation. 

The arrangement of this table resembles that of the table 
of natural functions so closely that it is unnecessary to de- 
scribe it in detail. (Compare the description of Table V.) 
It should be noted, however, that, in this table, the charac- 
teristics of the logarithms are also given. But since the 
natural sines and cosines of all acute angles, and the tangents 
of all angles less than 45°, are proper fractions, their charac- 
teristics are negative and have been expressed in the form 
9 — 10, 8 — 10, etc. The continually recurring — 10 has not 
been printed., and should be supplied by the computer. It is 



INTRODUCTION TO THE TABLES xv 

understood, once for all, that 10 is to be subtracted from all 
of the logarithms in the first, second, and fourth columns of 
the table, while the logarithms printed in the third column 
are provided with their correct characteristic and require 
no such modification. 

The process of interpolation may be apjjlied to the table 
of logarithms of the trigonometric functions in the same way 
as to the table of natural functions or to the table of loga- 
rithms of numbers. 

The following examples are intended to illustrate the ap- 
plication of Table II. 

Example 1. Find log sin, log cos, log tan, log cot of 4P 15' 35". 

Solution. For convenience in interpolation convert 35" into decimal 
parts of a minute. Then 4r 15' 35" = 41° 15'. 58. 

We find, from the table, 

log sin 41° 15' = 9.81911, 
log sin 41° 16' = 9.81926, 
whence we conclude 

log sin 41° 15'. 58 = 9.81911 + .58 of 15 units of the 5th decimal place. 
Similarly 

log tan 41° 15'. 58 = 9.94299 + .58 of 25 units of the 5th decimal place, 
log cot 41° 15'.58 = 0.05701 - .58 of 25 units of the 5th decimal place, 
log cos 41° 15'.58 = 9.87613 - .58 of 12 units of the 5th decimal place. 

We may use the marginal tables of proportional parts to complete the 
interpolation. Thus, the table headed 15 shows that .5 of 15 is 7.5 and 
.08 of 15 is 1.2, and consequently .58 of 15 is 8.7 or 9 units of the fifth 
decimal place. Therefore 

log sin 4° 15'. 58 = 9.81920 - 10. 

In the same way we find 

log tan 41° 15'.58 = 9.94314 - 10, log cot 41° 15'.58 = 0.05686, 
log cos 41° 15'.58 = 9.87G06 - 10. 

Example 2. Find the logarithms of the functions of 48° 44'.42. 

Solution. This angle is the complement of that of example 1. Hence 
each of its functions is equal to the corresponding cof unction of 41° 15'.58, 
and the values obtained are the same as in example 1, with the name of 
each function changed to the corresponding cofunction. 

Just as in the tal)le of natural functions, these values, for angles 
greater than 4.5°, may be obtained directly from the table by reading the 
degrees of the angle at the foot of the page, the minutes in the right- 
hand column, and the name of the function at the foot of each of the 
four columns. We find, in this way, 

log sin 48° 44'.42 = 9.87606 - 10, log cot 48° 44'.42 = 9.94314 - 10, 
log tan 48° 14'. 42 = 0.05G86, log cos 48° 44'.42 = 9.81919 - 10. 



xvi INTRODUCTION TO THE TABLES 

Example 3. Given log tan A = 0.53219. Find A. 

Solution. The given logarithm does not appear anywhere in the col- 
umn at the foot of which is printed the name L. Tan. But we do find 
in this column 

log tan 73^ 38' = 0.53212, 

log tan 73° 39' = 0.53259. 

Tabular difference for 1' = 0.00047. 

The given value of log tan A is ^V* oi' ~^o% of the way from the first 
toward the second of these tabular logarithms. Therefore 

A = 73^ 38'.1.5. 



Table III 

The trigonometric functions of angles near o° or 90°. If we 

wish to determine an angle for which log cos A = 9.99998 
— 10, Table II cannot furnish an accurate result. We find, 
by referring to the table, that A may have any value between 
0° 29' and 0° 36'. 

A small angle cannot be determined, tvith any degree of 
accuracy, from the value of its cosine. 

In the same way, we see that an angle very close to 90^^ 
cannot he determined accurately from the value of its sine. 

In most cases we shall be able to modify the formula, 
which we are using, in such a way as to avoid this difficulty. 
If, for instance, the angle A (known to be very small) is to 
be determined from the value of its cosine, we shall seek 
some other formula as a solution of the same problem by 
means of which the angle A can be determined from the 
value of its sine or tangent. The problem then reduces to 
that of finding a small angle when its sine or tangent is 
given. If we again refer to our table, we find that this 
problem also gives rise to a difficulty. The method of inter- 
polation, which we ordinarily use, becomes both cumbersome 
and inexact in the case of such small angles, because the 
tabular differences are very large and change very rapidly 
from one place in the table to another. 

In order to meet this difficulty, we have provided a sepa- 
rate table (Table III), giving the values of the logarithmic 
functions for ever}^ second of arc from 0° 0' to 0° 3' and from 
89° 57' to 90°, and for every ten seconds from 0° to 2° and 
from 88° to 90°. 



INTRODUCTION TO THK TABLES xvii 



Table IV 

The auxiliary quantities S and T. Table IV provides a 
second inethotl fur meeting' tlie dit'ticulties which are en- 
countered when dealing with angles near 0° or 90°. The 
method is based on the fact that the quotients 

sin 6 -, tan 6 
■ and — - — 

e d 

change very slowly if ^ is a small angle. 

The formulae given on the face of the table contain all 
the necessary directions, so that it will suffice to give some 
illustrative examples. 

Problem 1. Find the sine and tangent of 1° 13'.21 by using the 
auxiliaries S and T. 

Solution. Since ^ = 1° 13'. 21, we have 0' = 73'.21. 

log 6' = 1.86457 log $' = 1.86457 

S = 6.46369 - 10 T= 6.46379 - 10 



log sin 6 = 8.32826 - 10 log tan d = 8.32836 - 10 

Problem 2. Given log sin 6 = 8.24798 - 10. Find 6. 

Solution. We find from Table IV corresponding to log sin 6 = 8.24798 
- 10, 5 = 6.46370. The formula log $' == log sin 6 - S' leads to the cal- 
culation 

log sin ^ = 8.24798 - 10 

S = 6.46370 - 10 
log 6' = 1.78428 .-. 6' = 60'.85 = 1° 0'.85. 



Table V 

Table V contains the four-place values of the sine, cosine, 
tangent, and cotangent of all angles from 0° to 90° for every 
tenth of a degree. The following examples will serve to 
explain its arrangement and use. 

Problem 1. Find the functions of 35°.2. 

Solution. In the left-hand column find 35°.2. The four numbers 
which are printed in the horizontal row to the i-ight of 35°. 2 are, from left 
to right, the sine, tangent, cotangent, and cosine of 3.5"^ .2, as indicated by 
the name printed at the head of each of these columns. Therefore 

sin 35°.2 = 0.5764, tan 35°.2 = 0.7054, cot 35°.2 = 1.4176, 
cos 3.5°.2 = 0.8171. 

Problem 2. Find the functions of 54°.8. 

Solution. In the right-hand column find 54°.8. The four numbers 
which are printed in the liorizontal row to the left of 54°.8 are, /rom right 



xviii INTRODUCTION TO THE TABLES 

to left, the sine, tangent, cotangent, and cosine of 54°.8, as indicated by 
the name printed at the foot of each of these columns. Therefore 

sin 54°.8 = 0.8171, tan 54°.8 = 1.4176, cot 54^8 = 0.7054, 
cos 54°.8 = 0.5764. 

Thus every number of the table does double duty. For 
example, 0.576-4 is both the sine of 35°. 2 and tlie cosine of 
54°. 8, as it should be. 

Angles less than 45° are given in the left-hand column of 
the table, and the names of the corresponding functions are 
found at the top of the page. Angles greater than 45° are 
given in the right-hand column with the names of the func- 
tions at the bottom of the page. 

The table gives the values of the functions only for every 
tenth of a degree. If the given angle contains fractional 
parts of this unit, its functions cannot be read directly from 
the table. In such cases we make use of the process of in- 
terpolation, the nature of which will become apparent from 
the following examples. 

Problem 3. Find the sine of 35".17. 

Solution. This angle lies between 35°.l and o5°.2. More precisely, it 
lies Ys of the way from the former toward the latter. We conclude that 
its sine will be -^^ of tlie way from 

sin 35-. 1 = 0.5750 toward sin 35''.2 = 0.5764. 

But the difference d between these last two numbers is 0.0014, seven 
tenths of which is equal to 0.0010 (reduced to four decimal places). 
Therefore 

sin 35°.17 = 0.5750 -f 0.0010 = 0.5760. 

Problem 4. Find the cotangent of 35°.17. 
Solution. From the table we find 

cot 35°.l = 1.4229 
cot 3.5°.2 = 1.4176 
d = cot 35°.2 - cot 35°.l = - 0.0053 (tabular difference) 

We must add j\ of d to cot 35°.l. But j\- d = - 0.0037. 
Therefore 

cot35°.17 = 1.4192. 

We observe that in problem 3 the correction was positive, 
while in problem 4 it was negative. 

If we alivays interpolate from the smaller toward the larger 
angle, the correction will be positive in the case of sine and tan- 
gent, negative in the case of cosine and cotangent. For, the 
former two functions increase with the angle, wliile the latter 
two decrease. 



INTRODUCTION TO THE TABLES xix 

There will never be any serious danger of giving the wrong sign to 
the correction, if we cultivate the habit of running through the numbers 
of the table near the place we are using, so as to see in which direction 
they are growing. 

Problkm 5. The tangent of an unknown acute angle A is equal to 
0.7046. Find the angle J. 

Solution. We observe that the number 0.7046 does not occur in the 
tangent column. However, we find there the two numbers 0.7028 and 
0.7054, between which 0.7046 lies. Thus we have 

tan 35°.l = 0.7028, 

tan A = 0.7046, 

tan 35°.2 = 0.7054. 

Between tan 35°. 1 and tan .1, the difference is 0.0018. 
Between tan 35°.l and tan 35°.2, the difference is 0.0026. 
Therefore, tan A is ^f of the way from tan 35°.l toward tan 35°.2, and 
consequently 

A — 35°. 1 + ^f of one tenth of a degree, 
or 

A = 35°. 1 + 0°.07 = 35°.17 

reducing to the nearest hundredth of a degree. 

Problem 6. Find the acute angle A whose cosine is 0.5772. 
Solution. We have, from the table and the data of the problem, 

cos 54\7 = 0.5779, 
cos A - 0.5772, 
cos 54°.8 = 0.5764, 
whence 

cos A - cos 54°.7 = - 0.0007, 
cos 54°.8 - cos 54".7 = - 0.0015. 

Therefore, cos A is -^^ of the way from cos 54°.7 toward cos 54°.8. Hence 

A = 54°.7 + j^s of one tenth of a degree 
or 

A = 54°.7 + 0°.05 = 54°.75. 



Table VI 

The arrangement and use of this table will be apparent 
from the following examples. 

Example 1. Find the squares of 0.324 and of 3.24. 

Solution. In the left-hand column of Table VI we find 0.32. In the 
same horizontal row with this number, and in the column headed 4, we 
find 0.1050. Therefore 

(0.324)2 = 0.1050, (3.24)2 = 10.50. 
Example 2. Find the squares of 0.3243, of 3.243, and of 32.43. 
Solution. From the table we find 

(0.324)2 ^ 0.10.50, (0.325)2 ^ 0.10.36. 



XX INTRODUCTION TO THE TABLES 

The difference between the two squares is 0.0006. The number 0.3243 
is three tenths of the way from 0.324 toward 0.325. Therefore, its square 
will be three tenths of the way from 0.1050 toward 0.1056. That is 

(0.3243)2 ^ 0.1050 + ^% of 0.0006 = 0.1050 + 0.0002 = 0.10.52, 

and 

(3.243)2 ^ 10.52^ (32.43)2 = 1052. 

Example 3. Find the square root of 0.5520. 

Solutio?}. We find from the table that this number is the square of 
0.743. Therefore 



V0.5520 = 0.743. 

Example 4. Find the square root of 0.5525. 
Solution. The table gives 

V0.5520 = 0.743, VOSSSS = 0.744. 

Therefore, by interpolation 

V0.5525 = 0.743 + ^ of 0.001 = 0.743 + 0.0003 = 0.7433. 

In using Table VI the following remarks are important. 

1. To a change of one place in the positio7i of the decimal 
point in a number iV^ corresponds a change of two places of the 
decimal poirit in IP. 

2. To a change of two places in the position of the decimal 
point in i\r, corresponds a change of one place in y/W. 

Table VII 

Table VII enables us to save time in converting an angle 
which is expressed in minutes and seconds to decimal parts 
of a degree and vice versa. Its arrangement and use is so 
obvious as to require no explanation. 

Table VIII 

Table VIII is merely a collection of some frequently oc- 
curring numbers and their logarithms. 

Tables IX, X, and XI 

These tables are three-place tables, arranged and used in 
accordance with the same principles that have been ex- 
plained in connection with the larger five- and four-place 
tables. They should be used whenever the accuracy re- 
quired for the result is properly expressed by numbers of 
two or three digits. 



TABLES 



TABLE I 

riYE-PLACE LOGARITHMS OF NUMBERS 



(1) 



N 





1 


2 


3 


4 


5 


6 


7 


8 


9 


P P 1 


(OO 

101 


00 000 


043 


087 


130 


173 


217 


260 


303 


346 


389 




44 


43 


42 


432 


475 


518 


561 


604 


647 


689 


732 


775 


817 


102 


86o 


903 


945 


988 


*030 


*072 


*II5 


*I57 


*I99 


*242 










103 


01284 


326 


368 


410 


452 


494 


536 


578 


620 


662 


I 

2 


4.4 
8.8 


4-3 
8.6 


4.2 
8.4 


104 


703 


745 


787 


828 


870 


912 


953 


995 


*036 


*078 


3 


13-2 


12.9 


12.6 


105 


02 119 


160 


202 


243 


284 


325 


366 


407 


449 


490 


4 


17.6 


17.2 


16.8 


106 


531 


572 


612 


653 


694 


735 


776 


8x6 


857 


898 


5 
6 


22.0 
26.4 


21-5 

25.8 


21.0 
25.2 


107 


938 


979 


*oi9 


*o6o 


*I00 


*I4I 


*i8i 


*222 


*262 


*302 


7 


30.8 


30.1 


29.4 
33.6 
37-8 

39 


108 
109 

110 

111 


03342 
743 


383 
782 


423 
822 


463 
862 


503 
902 


543 
941 


583 
981 


623 
*02I 


663 

*o6o 


703 

*I00 


8 
9 


35-2 
39-6 

41 


34-4 
38.7 

40 


04139 


179 


218 


258 


297 


336 


376 


415 


454 


493 


532 


571 


610 


650 


689 


727 


766 


805 


844 


883 


112 


922 


961 


999 


*038 


*077 


*II5 


*I54 


*I92 


*23I 


*269 


I 


4.1 

8.2 


4.0 
8.0 


3-9 

7.8 


113 


05308 


346 


385 


423 


461 


500 


538 


576 


614 


652 


2 


114 


690 


729 


767 


805 


843 


881 


918 


956 


994 


*032 


3 


12.3 


12.0 


II. 7 


115 


06070 


108 


145 


183 


221 


258 


296 


333 


371 


408 


4 


16.4 


16.0 


15-6 


116 


446 


483 


521 


558 


595 


633 


670 


707 


744 


781 


5 
6 


20.5 
24.6 


20.0 
24.0 


19s 
23-4 


117 


819 


856 


893 


930 


967 


*004 


*04i 


*078 


*II5 


*I5I 


7 


28.7 


28.0 


27-3 


118 


07188 


225 


262 


298 


335 


372 


408 


445 


482 


518 


8 


32.8 


32.0 


31.2 


119 
120 
121 


555 


591 


628 


664 


700 


737 


773 


809 


846 


882 
*243 


9 


36.9 
38 


36.0 
37 


35-1 
36 


918 


954 


990 


*027 


*o63 


*099 


*I35 


*I7I 


*207 


08279 


314 


350 


386 


422 


458 


493 


529 


565 


600 


122 


636 


672 


707 


743 


778 


814 


849 


884 


920 


955 


I 


3-8 


3-7 


3-6 


123 


991 


*026 


*o6i 


*096 


*I32 


*i67 


*202 


*237 


*272 


*307 


2 


7.6 


7-4 


7.2 


124 


09342 


377 


412 


447 


482 


517 


552 


587 


621 


656 


3 


II. 4 


II. I 

14.8 
18.5 
22.2 


10.8 


125 


691 


726 


760 


795 


830 


864 


899 


934 


968 


*003 


4 


IS-2 


14.4 
18.0 
21.6 


126 


10037 


072 


106 


140 


175 


209 


243 


278 


312 


346 


5 
6 


19.0 
22.8 


127 


380 


415 


449 


483 


517 


551 


585 


619 


653 


687 


7 


26.6 


259 


25.2 


128 


721 


755 


789 


823 


857 


890 


924 


958 


992 


*025 


8 


30.4 


29.6 


28.8 


129 
130 
131 


II 059 


093 


126 


160 


193 


227 


261 


294 


327 


361 


9 


34-2 
35 


33-3 
34 


32.4 
33 


394 


428 


461 


494 


528 


561 


594 


628 


661 


694 


727 


760 


793 


826 


860 


893 


926 


959 


992 


*024 


132 


12057 


090 


123 


156 


189 


222 


254 


287 


320 


352 


I 


3-5 


3-4 


3-3 


133 


385 


418 


450 


483 


516 


548 


581 


613 


646 


678 


2 


7 





6.8 


6.6 


134 


710 


743 


775 


808 


840 


872 


905 


937 


969 


*00I 


3 
4 
5 
6 


10 

14 
17 
21 


5 

Q 


10.2 
13.6 
17.0 
20.4 


9.9 

13-2 

16.S 
19.8 


135 


13033 


066 


098 


130 


162 


194 


226 


258 


290 


322 


5 



136 


354 


386 


418 


450 


481 


513 


545 


577 


609 


640 


137 


672 


704 


735 


767 


799 


830 


862 


893 


925 


956 


7 


24 


5 


23.8 


23-1 


138 


988 


*oi9 


*05I 


*o82 


*II4 


*I45 


*I76 


*208 


*239 


*270 


8 


28 





27.2 


26.4 


139 
140 
141 


14 301 


333 


364 


395 


426 


457 


489 


520 


551 


582 


9 


315 
32 


30.6 
31 


29.7 

30 


613 


644 


675 


706 


737 


768 


799 


829 


860 


891 


922 


953 


983- 


*oi4 


*045 


*076 


*io6 


*I37 


*i68 


*I98 


142 


15229 


259 


290 


320 


351 


381 


412 


442 


473 


503 


I 


3-2 


3-1 


30 


143 


534 


564 


594 


625 


655 


685 


715 


746 


776 


806 


2 
3 


6.4 
9.6 


6.2 
9-3 


6.0 
9.0 


144 


836 


866 


897 


927 


957 


987 


*0I7 


*047 


*077 


*I07 


4 


12.8 


12.4 


12.0 


145 


16137 


167 


197 


227 


256 


286 


316 


346 


376 


406 


5 


16.0 


15-5 


150 


146 


435 


465 


495 


524 


554 


584 


613 


643 


673 


702 


6 


19.2 


18.6 


18.0 


147 


732 


761 


791 


820 


850 


879 


909 


938 


967 


997 


7 


22.4 


21.7 


21.0 


148 


17026 


056 


085 


114 


143 


173 


202 


231 


260 


289 


8 


25.6 


24.8 


24.0 


149 

rso 


319 


348 


377 


406 


435 


464 


493 


522 


551 


580 


9 


28.8 


27.9 


27.0 


609 


638 


667 


696 


725 


754 


782 


811 


840 


869 


N 





1 


2 


3 


4 


5 


6 


7 


8 


9 




P 


P 





(2) 



N 





1 


2 


3 


4 


5 


6 


7 


8 


9 


P P 


ISO 

151 


17609 


638 


I 667 


696 


725 


754 


782 


811 


840 869 


2a 


28 


898 


926 


955 


984 


*oi3 


*04i 


*070 


•099 


*I27 1*156 


152 


18 184 


213 


241 


270 


298 


327 


355 


384 


412 1 441 








153 


469 


498 


526 


554 


583 


611 


639 


667 


696 724 


2 


2.9 
5-8 


2.8 
5-6 


154 


752 


780 


808 


837 


865 


893 


921 


949 


977 *005 


3 


8.7 


8.4 


155 


19033 


061 


089 


117 


145 


173 


201 


229 


257 285 


4 


11.6 


II. 2 


156 


312 


340 


368 


396 


424 


451 


479 


507 


535 562 


5 
6 


14-5 
17.4 


14.0 
16.8 


157 


590 


61B 


645 


673 


700 


728 


756 


783 


811 838 


7 


20.3 


19.6 


158 


866 


893 


921 


948 


976 


*003 


*030 


•058 


*o85 1*112 


8 


23.2 


22.4 


159 
160 

161 


20 140 


167 


194 


222 


249 


276 


303 

575 


330 


358 


385 


9 


26.1 


25-2 

26 


412 


439 


466 


493 


520 


548 


602 


629 656 


27 


683 


710 


737 


763 


790 


817 


844 


871 


898 925 


162 


952 


978 


*005 


*032 


*059 


*o85 


*II2 


*139 


*i65 i *i92 




2.7 
5-4 


2 6 


163 


21 219 


245 


272 


299 


325 


352 


378 


405 


431 


458 


2 


5-2 


164 


484 


S" 


537 


564 


590 


617 


643 


669 


696 


722 


3 


8.1 


7.8 


165 


748 


775 


801 


827 


854 


880 


906 


932 


958! 985 


4 


10.8 


10.4 


166 


22 on 


037 


063 


089 


"5 


141 


167 


194 


220 246 


5 



I3-S 
16.2 


I3-0 
15-6 


167 


272 


298 


324 


350 


376 


401 


427 


453 


479 505 


7 


18.9 


18.2 


168 


531 


557 


583 


608 


634 


660 


686 


712 


737 763 


8 


21.6 


20.8 


169 
I70 

171 


789 


814 


840 


866 


891 


917 


943 


968 


994 *oi9 


9 


24-3 


23-4 


23 045 

300 


070 
325 


096 
350 


121 


147 


172 


198 


223 


249 


274 


2^ 


376 


401 


426 


452 


477 


502 


528 


172 


553 


578 


603 


629 


654 


679 


704 


729 


754 


779 






173 


805 


830 


855 


880 


905 


930 


955 


980 


*005 


*030 


2 


5 


5 



174 


24055 


080 


105 


130 


155 


180 


204 


229 


254 


279 


3 


75 


175 


304 


329 


353 


378 


403 


428 


452 


477 


502 527 


4 


lO.O 1 


176 


551 


576 


601 


625 


65-. 


674 


699 


724 


748 773 


5 
6 
7 


12 


I 


177 


797 


822 


846 


871 


895 


920 


944 


969 


993 *oi8 


;'.7 1 


178 


25042 


066 


091 


115 


139 


164 


188 


212 


237 261 


8 


20.0 1 


179 
ISO 

181 


285 


310 


334 


358 


382 


406 


431 


455 


479 503 


9 


22 


5 
23 


527 


551 


575 


600 


624 


648 


672 


696 


720 


744 


24 


768 


792 


816 


840 


864 


888 


912 


935 


959 


983 


182 


26 007 


031 


055 


079 


102 


126 


150 


174 


198 


221 






183 


245 


269 


293 


316 


340 


364 


387 


411 


435 


458 


I 


2.4 
4.8 
7.2 


2-3 

4.6 
6.9 


184 


482 


505 


529 


553 


576 


600 


623 


647 


670 


694 


3 


185 


717 


741 


764 


788 


811 


834 


858 


881 


905 


928 


4 


9.6 


9.2 


186 


951 


975 


998 


*02I 


*045 


*o68 


•091 


*II4 


*I38 


*i6i 


5 



12.0 
14.4 


11-5 
13.8 


187 


27 184 


207 


231 


254 


277 


300 


323 


346 


370 


393 


7 


16.8 


16. 1 


188 


416 


439 


462 


485 


508 


531 


554 


577 


600 


623 


8 


19.2 


18.4 


189 
190 

191 


646 


669 


692 


715 


738 


761 


784 


807 


830 


852 


9 


21.6 


20.7 
21 


875 


898 


921 


944 


967 


989 


'012 


•035 


*058 *o8i 


22 


28 103 


126 


149 


171 


194 


217 


240 


262 


28s 


307 


192 


330 


353 


375 


398 


421 


443 


466 


488 


511 


533 


I 


2.2 


2.1 


193 


556 


578 


601 


623 


646 


668 


691 


713 


735 


758 


2 


4.4 


4.2 


194 


780 


803 


825 


847 


870 


892 


914 


937 


959 


981 


3 


6.6 

8 8 


6.3 

8.4 

10.5 

12.0 


195 


29 003 


026 


048 


070 


092 


"5 


137 


159 


181 


203 






196 


226 


248 


270 


292 


314 


336 


358 


380 


403 425 


() 


i3-i 


197 


447 


469 


491 


513 


535 


557 


579 


601 


623 645 


7 


iS-4 


14.7 


198 


667 


688 


710 


732 


754 


776 


798 


820 


842 863 


8 


17.6 


16.8 


199 
200 


885 


907 


929 


951 


973 


994 


•016 


*038 


•060 


*o8i 
298 


9 


19.8 


18.0 


30 103 


125 


146 


168 


190 


211 


233 


255 


276 




N 





1 


2 


3 


4 


5 


6 


7 


8 


9 


P P 1 



(3) 



N 





1 


2 


3 


4 


5 


6 


7 


8 


9 


P P 


200 

201 


30 103 


125 


146 


168 


190 


211 


233 


255 


276 


298 


82 21 


320 


341 


363 


384 


406 


428 


449 


471 


492 


514 


202 


535 


557 


578 


600 


621 


643 


664 


685 


707 


728 




203 


750 


771 


792 


814 


835 


856 


878 


899 


920 


942 


I 
2 


2.2 2.1 
4-4 4-2 


204 


963 


984 


*oo6 


*027 


*048 


*o69 


*09i 


*II2 


*I33 


*I54 


3 


6.6 6.3 


205 


31 175 


197 


218 


239 


260 


281 


302 


323 


345 


366 


4 


8.8 8.4 


206 


387 


408 


429 


450 


471 


492 


513 


534 


555 


576 


5 
6 


ii.o 10. 5 
13.2 12.6 


207 


597 


618 


639 


660 


681 


702 


723 


744 


765 


785 


7 


15.4 14.7 


208 


806 


827 


848 


869 


890 


911 


931 


952 


973 


994 


8 


17.6 16.8 


209 
210 
211 


32015 


035 


056 


077 


098 


118 


139 


160 


181 


201 


9 


19.8 18.9 


222 


243 


263 


284 


305 


325 


346 


366 


387 


408 


20 


428 


449 


469 


490 


510 


531 


552 


572 


593 


613 


212 


634 


654 


675 


695 


715 


736 


756 


777 


797 


818 






213 


838 


858 


879 


899 


919 


940 


960 


980 


*00I 


*02I 


2 


2.0 


214 


33041 


062 


082 


102 


122 


143 


163 


183 


203 


224 


3 


6.0 


215 


244 


264 


284 


304 


325 


345 


365 


385 


405 


425 


4 


8.0 


216 


445 


465 


486 


506 


526 


546 


566 


586 


606 


626 


5 
6 
7 


10. 


217 


646 


666 


686 


706 


726 


746 


766 


786 


806 


826 


14.0 


218 


846 


866 


885 


905 


925 


945 


965 


985 


*oo5 


*025 


8 


16.0 


219 
220 

221 


34044 


064 


084 


104 


124 


143 


163 


183 


203 


223 


9 


18.0 


242 
439 


262 


282 


301 


321 


341 


361 


380 


400 


420 


19 


459 


479 


498 


518 


537 


557 


577 


596 


616 


222 


635 


655 


674 


694 


713 


733 


753 


772 


792 


811 






223 


830 


850 


869 


889 


908 


928 


947 


967 


986 


*005 


2 


3.8 


224 


35025 


044 


064 


083 


102 


122 


141 


160 


180 


199 


3 


5-7 


225 


218 


238 


257 


276 


295 


315 


334 


353 


372 


392 


4 


7.6 


226 


411 


430 


449 


468 


488 


507 


526 


545 


564 


583 


5 
6 


9-5 
11.4 
13-3 


227 


603 


622 


641 


660 


679 


698 


717 


736 


755 


774 


7 


228 


793 


813 


832 


851 


870 


889 


908 


927 


946 


965 


8 


15-2 


229 
230 

231 


984 


*003 


*02I 


*040 


*059 


*078 


*097 


*ii6 


*I3S 


*i54 


9 


17. 1 


36 173 
361 


192 


211 


229 


248 


267 


286 


305 


324 


342 


18 


380 


399 


418 


436 


455 


474 


493 


5" 


530 


232 


549 


568 


586 


605 


624 


642 


661 


680 


698 


717 




1.8 


233 


736 


754 


773 


791 


810 


829 


847 


866 


884 


903 


2 


3.6 


234 


922 


940 


959 


977 


996 


*oi4 


*033 


*05i 


*o7o 


*o88 


3 


5-4 


235 


37 107 


125 


144 


162 


181 


199 


218 


236 


254 


273 


4 


7.2 


236 


291 


310 


328 


346 


365 


383 


401 


420 


438 


457 


5 
6 


9.0 
10.8 


237 


475 


493 


511 


530 


548 


566 


585 


603 


621 


639 


7 


12.6 


238 


658 


676 


694 


712 


731 


749 


767 


785 


803 


822 


8 


14.4 


239 

240 

241 


840 


858 


876 


894 


912 


931 


949 


967 


985 


*oo3 


9 


16.2 


38021 


039 


057 


075 


093 


112 


130 


148 


166 


184 


17 


202 


220 


238 


256 


274 


292 


310 


328 


346 


364 


242 


382 


399 


417 


435 


453 


471 


489 


507 


525 


543 


I 


1-7 


243 


561 


578 


596 


614 


632 


650 


668 686 


703 


721 


2 


3-4 


244 


739 


757 


775 


792 


810 


828 


846 


863 


881 


899 


3 


5-1 
6 8 


245 


917 


934 


952 


970 


987 


*oo5 


*023 


*04i 


*058 


*076 


5 
6 


8.5 
10.2 


246 


39094 


III 


129 


146 


164 


182 


199 


217 


235 


252 


247 


270 


287 


305 


322 


340 


358 


375 


393 


410 


428 


7 


11.9 


248 


445 


463 


480 


498 


51S 


533 


550 


^8 


585 


602 


8 


13-6 


249 
250 


620 


637 


655 


672 


690 


707 


724 


742 


759 


777 


9 


153 


794 


811 


829 


846 


863 


881 


898 


91S 


933 


950 




N 





1 


2 


3 


4 


5 


6 


7 


8 


9 


P P 



(4) 



N 





1 


2 


3 


4 


5 


6 


7 


8 


9 


P P 


250 

251 


39 794 


811 


829 


846 


863 


881 


898 91S 


933 


950 




18 


967 


985 


*002 


*oi9 


*037 


*054 


*07i *o88 *io6 *i23 


252 


40 140 


157 


175 


192 


209 


226 


243 261 278 29s 




1.8 
3-6 


253 


312 


329 


346 


364 


381 


398 


415 432 1 4|49 466 


2 


254 


483 


500 


518 


535 


552 


569 


586 603 


620 637 


3 


5-4 


255 


654 


671 


688 


705 


722 


739 


756 j 773 


790 j 807 


4 


7.2 


256 


824 


841 


858 


875 


892 


909 


926 , 943 


960 976 


5 


9.0 




















i 


6 


10.8 


257 


993 


*0I0 


*027 


*044 


*o6i 


*078 


*095 


*lii 


*I28 


*i45 


7 


12.6 


258 


41 162 


179 


196 


212 


229 


246 


263 


280 


296 


313 


8 


14.4 


259 
260 

261 


330 


347 


363 


380 


397 


414 


430 


447 


464 


481 


9 


16.2 
17 


497 


514 


531 


547 


564 


581 


597 


614 


631 


647 


664 


681 


697 


714 


731 


747 


764 780 ' 797 


814 


262 


830 


847 


863 


880 


896 


913 


929 , 946 963 


979 




1-7 
3-4 


263 


996 


*0I2 


*029 


*045 


*062 


*078 


*095 1 *iii 1 *I27 

i 


*I44 


2 


264 


42 160 


177 


193 


210 


226 


243 


259 


275 


292 


308 


3 


S-i 


265 


325 


341 


357 


374 


390 


406 


423 


439 


455 


472 


4 


6.8 


266 


488 


504 


521 


537 


553 


570 


586 


602 


619 


635 


5 
6 


8.5 
10.2 


267 


651 


667 


684 


700 


716 


732 


749 


765 


781 


797 


7 


11.9 


268 


813 


830 


846 


862 


878 


894 


911 


927 


943 


959 


8 


13.6 


269 
270 
271 


975 


991 


*oo8 


*024 


*040 


*056 


*072 


*o88 *i04 


*I20 


9 


iS-3 
16 


43 136 


152 


169 


i8s 


201 


217 


233 


249 


265 


281 


297 


313 


329 


345 


361 


377 


393 


409 


425 


441 


272 


457 


473 


489 


505 


521 


537 


553 


569 


584 


600 




1.6 
3-2 


273 


616 


632 


648 


664 


680 


696 


712 


727 


743 


759 


2 


274 


775 


791 


807 


823 


838 


854 


870 


886 


902 


917 


3 


4.8 


275 


933 


949 


965 


981 


996 


*0I2 


*028 


*044 


*059 


*075 


4 


6.4 


276 


44091 


107 


122 


138 


154 


170 


i8s 


201 


217 


232 


5 
6 


8.0 
9.6 


277 


248 


264 


279 


295 


3" 


326 


342 


358 


373 


389 


7 


II. 2 


278 


404 


420 


436 


451 


467 


483 


498 


514 


529 


545 


8 


12.8 


279 
280 

281 


560 


576 


592 


607 


623 


638 654 


669 685 ' 700 


9 


14.4 

15 


716 


731 


747 


762 


778 


793 


809 


824 


840 855 


871 


886 


902 


917 


932 


948 963 


979 994 *oio 


282 


45025 


040 


056 


071 


086 


102 117 


133 148 163 




i-S 
30 


283 


179 


194 


209 


225 


240 


255 


271 


286 301 317 


2 


284 


332 


347 


362 


378 


393 


408 


423 


439 


454 469 


3 


4-5 


285 


484 


500 


515 


530 


545 


561 


576 


591 


606 621 


4 


6.0 


286 


637 


652 


667 


682 


697 


712 


728 


743 


758 773 


5 
6 


75 
9.0 


287 


788 


803 


818 


834 


849 


864 


879 


894 


909 924 


7 


lo.S 


288 


939 


954 


969 


984 


*000 


*oi5 


*030 


*045 


*o6o *075 


8 


12.0 


289 
290 

291 


46 090 


105 


120 


135 


ISO 


165 


180 


195 


210 225 


9 


135 
14 


240 


255 


270 


28s 


300 


315 


330 


345 ! 359 374 


389 


404 


419 


434 


449 


464 


479 


494 509 523 


292 


538 


553 


568 


583 


598 


613 


627 


642 657 672 




1.4 
2.8 


293 


687 


702 


716 


731 


746 


761 


776 


790 805 


820 


2 


294 


83s 


850 


864 


879 


894 


909 


923 


938 953 


967 


3 


4-2 


295 


982 


997 


*0I2 


*026 


*04i 


*056 


*070 


•085 *I00 


*ii4 


4 


5-6 


296 


47 129 


144 


159 


173 


188 


202 


217 


232 


246 


261 


5 
6 


7.0 
8.4 


297 


276 


290 


30s 


319 


334 


349 


363 


378 


392 


407 


7 


9.8 


298 


422 


436 


451 


465 


480 


494 


509 


524 538 


553 


8 


II. 2 


299 
300 


567 


582 


596 


611 


625 


640 


654 


669 1 683 


698 


9 


12.6 


712 


727 


741 


756 


770 


784 


799 


813 828 


842 


N 


I 

1 1 


2 


3 


4 


5 


6 


7 1 8 


9 


P P 



(•'» 



Vf7/i 



N 





1 


2 


3 


4 


5 


6 


7 


8 9 


p p 


300 

301 


47 712 


727 


741 


756 


770 


784 


799 


813 


828 


842 






857 


871 


885 


900 


914 


929 


943 


958 


972 


986 


302 


48 001 


015 


029 


044 


058 


073 


087 


lOI 


116 130 






303 


144 


159 


173 


187 


202 


216 


230 


244 


259 273 




15 


304 


287 


302 


316 


330 


344 


359 


373 


387 


401 416 






305 


430 


444 


458 


473 


487 


501 


515 


530 


544 558 


I 


1-5 


306 


572 


586 


601 


615 


629 


643 


657 


671 j 686 700 


2 
3 


30 
4-5 


307 


714 


728 


742 


756 


770 


785 


799 


813 ' 827 841 


4 


6.0 


308 


855 


869 


883 


897 


911 


926 


940 


954 968 982 


5 


7-5 


309 


996 


*0I0 


*024 


*038 


*052 


*o66 


*o8o 


*094 *io8 


*I22 


6 


9.0 


310 

311 


49 136 


150 


164 


178 


192 


206 


220 


234 248 


262 


7 
8 
9 


10. s 
12.0 
13-5 


276 


290 


304 


318 


332 


346 


360 


374 ' 388 402 


312 


415 


429 


443 


457 


471 


485 


499 


513 527 541 






313 


554 


568 


582 


596 


610 


624 


638 


651 


665 679 




* 


314 


693 


707 


721 


734 


748 


762 


776 


790 


803 817 






315 


831 


845 


859 


872 


886 


900 


914 


927 


941 955 




U 


316 


969 


982 


996 


*0I0 


*024 


*037 


*05i 


*o65 


*079 


*092 


I 


1.4 
2.8 


317 


50 106 


120 


133 


147 


161 


174 


188 


202 215 


229 


2 


318 


243 


256 


270 


284 


297 


311 


325 


338 352 365 


3 


4.2 


319 
320 

321 


379 


393 


406 


420 


433 


447 


461 


474 488 501 


4 
5 
6 

7 


5-6 
7.0 
8.4 
9.8 


515 


529 


542 


556 


569 


583 


596 


610 623 637 

1 


651 


664 


678 


691 


705 


718 


732 


745 759 772 


322 


786 


799 


813 


826 


840 


853 


866 


880 893 j 907 


8 


1 1.2 


323 


920 


934 


947 


961 


974 


987 


*00I 


*oi4 *028 *04i 


9 


12.6 


324 


51 055 


068 


081 


09s 


108 


121 


135 


148 162 175 






325 


188 


202 


215 


228 


242 


255 


268 


282 295 308 






326 


322 


335 


348 


362 


375 


388 


402 


415 


428 441 






327 


455 


468 


481 


495 


508 


521 


534 


548 


561 574 




13 


328 


587 


601 


614 


627 


640 


654 


667 


680 693 706 


I 


1.3 


329 
330 


720 


733 


746 


759 


772 


786 


799 


812 825 838 


2 
3 
4 
5 


2.6 
3-9 
5-2 
6.5 


851 


865 


878 


891 


904 


917 


930 


943 j 957 970 


331 


983 


996 


*009 


*022 


*035 


*048 


*o6i 


*075 ' *o88 *ioi 


332 


52 114 


127 


140 


153 


166 


179 


192 


205 218 231 


6 


7.8 


333 


244 


257 


270 


284 


297 


310 


323 


336 


349 


362 


7 
8 


9.1 
10.4 


334 


375 


388 


401 


414 


427 


440 


453 


466 


479 


492 


g 


II. 7 


335 


504 


517 


530 


543 


556 


569 


582 


595 608 621 






336 


634 


647 


660 


673 


686 


699 


711 


724 737 750 






337 


763 


776 


789 


802 


815 


827 


840 


853 866 879 






338 


892 


905 


917 


930 


943 


956 


969 


982 994 *007 


. 




339 
340 

341 


53020 


033 


046 


058 


071 


084 


097 


no 122 135 


I 
2 
3 


13 

1.2 

2.4 
3-6 


148 


161 


173 


186 


199 


212 


224 


237 


250 j 263 


275 


288 


301 


314 


326 


339 


352 


364 


377 390 


342 


403 


415 


428 


441 


453 


466 


479 


491 


504 517 


4 


4.8 


343 


529 


542 


555 


567 


580 


593 


605 


618 631 643 


5 


6.0 


344 


656 


668 


681 


694 


706 


719 


732 


744 757 769 


6 


7-2 

8.4 

9.6 

10.8 


345 


782 


794 


807 


820 


832 


845 


857 


870 i 882 895 


7 
8 
9 


346 


908 


920 


933 


945 


958 


970 


983 


995 *008 *020 


347 


54033 


045 


058 


070 


083 


095 


108 


120 133 145 






348 


158 


170 


183 


195 


208 


220 


233 


245 258 270 






349 
350 


283 


295 


307 


320 


332 


345 


357 


370 , 382 394 






407 


419 


432 


444 


456 


469 


481 


494 j 506 518 


N 





1 


2 


3 


4 


5 


6 


7 


8 9 


P P 1 



m 



N 





1 


2 3 


4 


5 


6 7 


8 9 


P P 1 


350 

351 
352 
353 


54 407 


419 


432 


444 


456 


469 


481 494 


S06 518 




13 


531 
654 

777 


543 
667 
790 


555 
679 
802 


568 
691 

814 


580 
704 
827 


593 
716 

839 


60s 
728 
851 


617 
741 
864 


630 

753 
876 


642 
765 
888 


354 
355 
356 


900 

55023 

145 


913 
035 

157 


925 
047 
169 


937 
060 
182 


949 
072 
194 


962 
084 
206 


974 
096 
218 


986 
108 
230 


998 
121 
242 


*OII 

133 
255 


I 
2 
3 


1-3 
2.6 
3-9 


357 
358 
359 

360 

361 
362 
363 


267 
388 
509 

630 


279 
400 
522 


291 
413 
534 


303 
425 
546 


315 
437 
558 


328 
449 
570 


340 
461 
582 


352 
473 
594 


364 
485 
606 


376 
497 
618 


4 
5 
6 
7 
8 
9 


5-2 
6.5 
7.8 
9.1 
10.4 
II. 7 


642 


654 


666 


678 


691 


703 


715 


727 


739 


751 
871 
991 


763 
883 
*003 


775 
895 
*oi5 


787 
907 

*027 


799 
919 

•038 


811 
931 
*oso 


823 
943 

*062 


835 
955 

*074 


847 
967 
*o86 


859 
979 
*098 


364 
365 
366 


56 no 
229 
348 


122 
241 
360 


134 
253 
372 


146 
265 
384 


158 
277 
396 


170 
289 
407 


182 
301 
419 


194 
312 
431 


205 
324 
443 


217 
336 

455 


I 


12 

1.2 


367 
368 
369 

370 

371 
372 
373 


467 
585 
703 


478 
597 
714 


490 
608 
726 


502 
620 
738 


514 
632 
750 


526 
644 
761 


538 
656 

773 


549 
667 
785 


561 
679 
797 


573 
691 
808 


2 
3 
4 
5 
6 
7 
8 
9 


2.4 
3-6 
4.8 
6.0 
7.2 
8.4 
9.6 
10.8 


820 


832 


844 


855 


867 


879 


891 


902 


914 


926 


937 

57054 

171 


949 
066 
183 


961 
•078 
194 


972 
089 
206 


984 

lOI 

217 


996 
"3 
229 


*oo8 
124 
241 


*oi9 
136 
252 


*03i 
148 
264 


*043 
159 
276 


374 
375 
376 


287 
403 
519 


299 

415 
530 


310 
426 

542 


322 
438 
553 


334 
449 
565 


345 
461 
576 


357 
473 
588 


368 
484 
600 


380 
496 
611 


392 
507 
623 






377 
378 
379 

380 

381 
382 
383 


634 
749 
864 


646 
761 
875 


657 
772 
887 


669 
784 
898 


680 
795 
910 


692 
807 
921 


703 
818 

933 


715 
830 
944 


726 
841 
955 


738 
852 
967 


I 
2 
3 
4 
5 
6 
7 


1 

I 
2 
3 
4 
5 
6 

7 


1 

I 
2 
3 
4 
5 
6 
7 


978 


990 


*ooi *oi3 


*024 


*035 


*047 


*058 


*070 


*o8i 


58092 
206 
320 


104 
218 
331 


"5 
229 

343 


127 
240 
354 


138 

252 

365 


149 
263 

377 


161 

274 
388 


172 
286 
399 


184 
297 
410 


195 
309 
422 


384 
385 
386 


433 
546 
659 


444 
55'7 
670 


456 
569 
681 


467 
580 
692 


478 
591 
704 


490 
602 
715 


501 
614 
726 


512 
625 
737 


524 
636 

749 


535 
647 
760 


8 
9 


8 
9 


8 
9 


387 
388 
389 

390 

391 
392 
393 


771 
883 
995 


782 

894 
*oo6 


794 
906 
*0I7 


805 
917 

*028 


816 
928 

*040 


827 
939 
•051 


838 
950 

*062 


850 
961 
*073 


861 
973 
*o84 


872 
984 
*095 


I 
2 
3 
4 

s 


10 

I.O 

2.0 
30 
4.0 
5.0 


59 106 


118 


129 


140 


151 


162 


173 


184 


195 


207 


218 
329 
439 


229 
340 
450 


240 
351 
461 


251 
362 
472 


262 
373 
483 


273 
384 
494 


284 

395 
506 


295 
406 

517 


306 
417 
528 


318 
428 
539 


394 
395 
396 


550 
660 
770 


561 
671 
780 


572 
682 
791 


583 
693 
802 


594 
704 
813 


605 
715 
824 


616 
726 
835 


627 
737 
846 


638 
748 
857 


649 
759 
868 


6 
7 
8 


6.0 
7.0 
8.0 


397 
398 
399 

400 


879 

988 

60 097 


890 

999 

108 


901 

*0I0 

119 


912 

*02I 
130 


923 

*032 

141 


934 

*043 

152 


945 956 

*054 *o65 

163 173 


966 

•076 

184 


977 

*o86 

195 


9 


9.0 


206 


217 


228 


239 


249 


260 


271 282 


293 


304 


N 





1 


2 


3 


4 


5 


6 


7 


8 


9 


P P 



(7) 



N 





1 


2 


3 


4 


5 


6 


7 


8 


9 


P P 


400 

401 
402 
403 


6o 2o6 


217 


228 


239 


249 


260 


271 


282 


293 


304 




314 
423 
531 


325 
433 
541 


336 

444 
552 


347 
455 
563 


358 
466 
574 


369 

477 
584 


379 
487 
595 


390 
498 
606 


401 
509 
617 


412 
520 
627 


404 
405 
406 


638 
746 
853 


649 
756 
863 


660 
767 
874 


670 
778 
885 


681 
788 
895 


692 

799 
906 


703 
810 
917 


713 
821 
927 


724 
831 
938 


735 
842 

949 


.11 


407 
408 
409 

410 

411 
412 
413 


959 

61 066 

172 


970 
077 
183 


981 
087 
194 


991 
098 
204 


*002 
109 
215 


*oi3 
119 
225 


*023 

130 
236 


*034 
140 
247 


*045 
151 
257 


*055 
162 
268 


I 
2 
3 
4 
5 
6 
7 
8 


I 
2 
3 
4 
5 
6 
7 
8 


I 

2 

3 

4 
5 
6 
7 
8 


278 


289 


300 


310 


321 


331 


342 


352 


363 


374 


384 
490 
595 


395 
500 
606 


405 
511 
616 


416 
521 
627 


426 
532 
637 


437 
542 
648 


448 
553 
658 


458 
563 
669 


469 

574 
679 


479 
584 
690 


414 
415 
416 


700 
80s 
909 


711 

815 
920 


721 
826 
930 


731 
836 
941 


742 
847 
951 


752 
857 
962 


763 
868 
972 


773 
878 
982 


784 
888 
993 


794 
899 
*003 


9 


9.9 


417 
418 
419 

420 

421 
422 
423 


62 014 
118 
221 


024 
128 
232 


034 
138 
242 


045 
149 
252 


055 
159 
263 


066 
170 
273 


076 
180 
284 


086 
190 
294 


097 
201 
304 


107 
211 
315 




325 


335 


346 


356 


366 


377 


387 


397 


408 


418 


428 
531 
634 


439 
542 
644 


449 
552 
655 


459 
562 
665 


469 
572 
675 


480 
583 
685 


490 
593 
696 


500 
603 
706 


5" 
613 
716 


521 
624 
726 


I 
2 


10 

I.O 

2.0 


424 
425 
426 


737 
839 
941 


747 
849 
951 


757 
859 
961 


767 
870 
972 


778 
880 
982 


788 
890 
992 


798 
900 

*002 


808 
910 

*0I2 


818 
921 

*022 


829 
931 
*033 


3 
4 
5 
6 


30 
4.0 
5-0 
6.0 


427 
428 
429 

430 

431 
432 
433 


63043 
144 
246 


053 
155 
256 


063 
165 
266 


073 
175 
276 


083 
185 
286 


094 
195 
296 


104 
205 
306 


114 
215 
317 


124 
225 
327 


134 
236 
337 


7 
8 
9 


7.0 
8.0 
9.0 


347 


357 


367 


377 


387 


397 


407 


417 


428 


438 




448 
548 
649 


458 
558 
659 


468 
568 
669 


478 
579 
679 


488 
589 
689 


498 
599 
699 


508 
609 
709 


518 
619 
719 


528 
629 
729 


538 
639 
739 


434 
435 
436 


749 
849 
949 


759 
859 
959 


769 
869 
969 


779 
879 
979 


789 
889 
988 


799 
899 
998 


809 
909 

*oo8 


819 
919 

*oi8 


829 
929 
*028 


839 
939 

*038 


9 


437 
438 
439 

440 

441 
442 
443 


64 048 
147 
246 


058 
157 
256 


068 
167 
266 


078 
177 
276 


088 
187 
286 


098 
197 
296 


108 
207 
306 


118 
217 
316 


128 
227 

326 


137 
237 
335 


I 
2 
3 
4 
S 
6 
7 
8 


0.9 
1.8 
2.7 
3-6 
4-5 
5-4 
6.3 

7-2 

« T 


345 


355 


365 


375 


385 


395 


404 


414 


424 


434 


444 
542 
640 


454 
552 
650 


464 
562 
660 


473 
572 
670 


483 
582 
680 


493 
591 
689 


503 
601 
699 


513 
611 
709 


523 
621 
719 


532 
631 
729 


444 
445 
446 


738 
836 
933 


748 
846 
943 


758 
856 
953 


768 
865 
963 


777 
875 
972 


787 
885 
982 


797 
895 
992 


807 
904 

*002 


816 
914 

*OII 


826 
924 

*02I 




447 
448 
449 

450 


65031 
128 
225 


040 
137 
234 


050 
147 
244 


060 
157 
254 


070 
167 
263 


079 
176 

273 


089 
186 
283 


099 
196 
292 


108 
205 
302 


ii8 

215 
312 




321 


331 


341 


350 


360 


369 


379 


389 


398 


408 


N 


1 


2 


3 


4 


5 


6 


7 


8 


9 


P P 



(8) 



N 





1' 1 


2 


3 


4 


5 


6 


7 


8 9 


P P 


450 

451 
452 
453 


65321 


1 "' 


341 


350 


360 


369 


379 


389 


398 408 




418 
514 
610 


1 427 
523 
619 


! 437 
533 
629 


447 
543 
639 


456 
552 
648 


466 
562 
658 


475 
571 
667 


485 
581 
677 


495 
591 
686 


504 
600 
696 


454 
455 
456 


706 
801 
896 


71S 
811 
906 


725 
820 
916 


734 
830 
925 


744 
839 
935 


753 
849 
944 


763 
858 
954 


772 
868 
963 


782 
877 
973 


792 
887 
982 




457 
458 
459 

460 

461 
462 
463 


992 

66087 

181 


*00I 

096 
191 


*OII 

106 

200 


*020 
115 
210 


*030 
124 
219 


*039 
134 
229 


*049 
143 
238 


*058 
153 
247 


*o68 
162 
257 


*077 
172 
266 


I 
2 
3 
4 
5 
6 
7 
8 


I.O 

2.0 
30 
4.0 
50 
6.0 
7.0 
8.0 


276 


285 


295 


304 


314 


323 


332 


342 


351 


361 


370 
464 
SS8 


380 
474 
567 


389 
483 

577 


398 
492 
586 


408 
502 
596 


417 
5" 
605 


427 
521 
614 


436 
530 
624 


445 
539 
633 


455 
549 
642 


464 
465 
466 


652 
745 
839 


661 

755 
848 


671 
764 
857 


680 

773 
867 


689 

783 
876 


699 

792 
885 


708 
801 
894 


717 
811 
904 


727 
820 
913 


736 
829 
922 


9 


9.0 


467 
468 
469 

470 

471 
472 
473 


932 

67025 

117 


941 
034 
127 


950 
043 
136 


960 
052 
145 


969 

062 
154 


978 
071 
164 


987 
080 
173 


997 
089 
182 


*oo6 
099 
191 


*oi5 
108 
201 




210 


219 


228 


237 


247 


256 


265 


274 


284 


293 


302 
394 
486 


3" 
403 
495 


321 
413 
504 


330 
422 
514 


339 

431 
523 


348 
440 
532 


357 
449 
541 


367 
459 
550 


376 
468 
560 


385 
477 
569 


I 
2 


9 

0.9 
1.8 


474 
475 
476 


578 
669 
761 


587 
679 
770 


596 

688 
779 


605 
697 
788 


614 
706 
797 


624 
715 
806 


633 

724 
815 


642 
733 
825 


651 

742 
834 


660 
752 
843 


3 
4 
5 
6 


2.7 
3.6 
4-5 
5.4 


477 
478 
479 

480 

481 
482 
483 


852 

943 

68034 


861 
952 
043 


870 
961 
052 


879 
970 
061 


888 

979 
070 


897 
988 
079 


906 
997 
088 


916 
*oo6 
097 


925 

*oi5 

106 


934 

*024 

"5 
205 


7 
8 
9 


6.3 
7.2 
8.1 


124 


133 


142 


151 


160 


169 


178 


187 


196 




215 
305 
395 


224 
314 
404 


233 
323 
413 


242 
332 
422 


251 
341 
431 


260 
350 
440 


269 
359 
449 


278 
368 
458 


287 
377 
467 


296 

386 
476 


484 
485 
486 


485 
574 
664 


494 
583 
673 


502 
592 
681 


511 
601 
690 


520 
610 
699 


529 
619 
708 


538 
628 
717 


547 
637 
726 


556 
646 
735 


565 
655 
744 


8 


487 
488 
489 

490 

491 
492 
493 


753 
842 
931 


762 
851 
940 


771 
860 
949 


780 
869 
958 


789 
878 
966 


797 
886 
975 


806 
895 
984 


81S 
904 
993 


824 
913 

*002 


833 
922 

*0II 


I 
2 
3 
4 
5 
6 

7 
8 
9 


0.8 
1.6 

2.4 

3-2 

4.0 
4.8 
5-6 
6.4 

7-2 


69 020 


028 


037 


046 


055 


064 


073 


082 


090 


099 


108 
197 
285 


117 
205 
294 


126 
214 
302 


135 
223 
3" 


144 
232 
320 


152 
241 
329 


161 
249 
338 


170 
258 
346 


179 
267 

355 


188 
276 
364 


494 
495 
496 


373 
461 
548 


381 
469 

557 


390 

478 
566 


399 

487 
574 


408 
496 

583 


417 
504 
592 


425 
513 
601 


434 
522 
609 


443 
531 
618 


452 
539 
627 




497 
498 
499 

500 


636 
723 
810 


644 
732 
819 


653 

740 
827 


662 

749 
836 


671 
758 
845 


679 
767 
854 


688 
775 
862 


697 
784 
871 


70s 
793 
880 


714 
801 
888 




897 


906 


914 


923 


932 


940 


949 


958 


966 975 


N 





1 


2 


3 


4 


5 


^ 


7 


8 9 


P P 



(9) 



N 





1 


2 


3 


4 


5 


6 


7 


8 


9 


P P 


500 

501 
502 
503 


69897 


906 


914 


923 


932 


940 


949 


958 


966 


975 




984 

70 070 

157 


992 
079 
165 


*00I 

088 
•174 


*0I0 

096 
183 


*oi8 
105 
191 


*027 

114 

200 


*036 
122 
209 


*044 
131 
217 


*053 
140 
226 


*062 

148 
234 


504 
505 
506 


243 
329 
415 


252 
338 
424 


260 
346 
432 


269 

355 
441 


278 
364 
449 


286 
372 

458 


295 
381 
467 


303 
389 
475 


312 
398 
484 


321 
406 
492 




507 
508 
509 

5t0 

511 
512 
513 


SOI 
586 
672 


509 
595 
680 


518 
603 
689 


526 
612 
697 


535 
621 
706 


544 
629 
714 


552 
638 
723 


S6i 
646 
731 


569 
655 
740 


578 
663 
749 


I 
2 
3 
4 
5 
6 

7 
8 


0.9 
1.8 
2.7 
3-6 
45 
5-4 
6.3 
7.2 


757 


766 


774 


783 


791 


800 


808 


817 


825 


834 


842 

927 

71 012 


851 
935 
020 


859 
944 
029 


868 
952 
037 


876 
961 
046 


885 
969 
054 


893 
978 
063 


902 
986 
071 


910 
995 
079 


919 

*003 
088 


514 
515 
516 


096 
181 
265 


105 
189 

273 


113 
198 
282 


122 
206 
290 


130 
214 
299 


139 
223 

307 


147 
231 
315 


155 
240 
324 


164 
248 
332 


172 
257 
341 


9 


8.1 


517 
518 
519 

520 

521 
522 
523 


349 

433 
517 


357 
441 
525 


366 
450 
533 


374 
458 
542 


383 
466 
550 


391 

475 
559 


399 

483 
567 


408 
492 

575 


416 
500 
584 


425 
508 
592 




600 


609 


617 


625 


634 


642 


650 


659 


667 


675 


684 
767 
850 


692 

775 
858 


700 
784 
867 


709 
792 
875 


717 
800 
883 


725 
809 
892 


734 
817 
900 


742 
825 
908 


750 
834 
917 


759 
842 

925 


I 
2 


8 

0.8 
1.6 


524 
525 
526 


933 

72 016 

099 


941 

024 
107 


950 
032 
115 


958 
041 
123 


966 
049 
132 


975 
057 
140 


983 
066 
148 


991 

074 
156 


999 

082 

165 


*oo8 
090 
173 


3 
4 
5 
6 


2.4 
3-2 
4.0 
4.8 


527 
528 
529 

530 

531 
532 
533 


181 
263 
346 


189 
272 
354 


198 
280 
362 


206 
288 
370 


214 
296 
378 


222 
304 
387 


230 
313 
395 


239 
321 
403 


247 
329 
411 


255 
337 
419 


7 
8 
9 


5-6 
6.4 
7.2 


428 


436 


444 


452 


460 


469 


477 


485 


493 


501 




S09 
591 
673 


518 

599 
681 


526 
607 
689 


534 
616 
697 


542 
624 
705 


550 
632 
713 


558 
640 
722 


567 
648 
730 


575 
656 
738 


583 
665 
746 


534 
535 
536 


754 
835 
916 


762 
843 
92s 


770 
852 
933 


779 
860 
941 


787 
868 
949 


795 
876 
957 


803 
884 
965 


811 
892 
973 


819 
900 
981 


827 
908 
989 


7 


537 
538 
539 

540 

541 
542 
543 


997 

73078 
159 


*oo6 
086 
167 


*oi4 
094 
175 


*022 
102 
183 


*030 
III 
191 


*038 
119 
199 


*046 
127 
207 


*054 
135 
215 


*o62 

143 
223 


*070 
151 
231 


I 
2 
3 
4 
5 
6 
7 
8 
9 


0.7 
1.4 
2.1 
2.8 

3-S 
4.2 
4-9 
S-6 
6.3 


239 


247 


255 


263 


272 


280 


288 


296 


304 312 


320 
400 
480 


328 
408 
488 


336 
416 
496 


344 
424 
504 


352 
432 
512 


360 
440 
520 


368 
448 
528 


376 
456 
536 


384 
464 

544 


392 

472 
552 


544 
545 
546 


560 
640 
719 


568 
648 
727 


576 
656 
735 


584 
664 

743 


592 

672 
751 


600 
679 
759 


608 
687 
767 


616 
695 

775 


624 
703 
783 


632 
711 
791 




547 
548 
549 

550 


799 

878 
957 


807 
886 
965 


815 
894 
973 


823 
902 
981 


830 
910 
989 


838 
918 
997 


846 
926 

*005 


854 
933 
*0i3 


862 
941 

*020 


870 
949 

*028 




74036 


044 


052 


060 


068 


076 


084 


092 


099 


107 


N 





1 


2 


3 


4 


5 


6 


7 


8 


9 


P P 



(10) 



N 





1 


2 


3 


4 


5 


6 


7 


8 1 9 


P P 


550 

551 
552 
553 


74036 


044 


052 


060 


068 


076 


084 


092 


099 


107 




115 
194 

273 


202 
280 


131 
210 
288 


139 

218 
296 


147 
225 
304 


155 
233 
312 


162 

241 
320 


170 
249 
327 


178 
257 
335 


186 
26s 
343 


554 
555 
556 


351 
429 

507 


359 
437 
515 


367 
445 
523 


374 
453 
531 


382 
461 
539 


390 
468 
547 


398 
476 
554 


406 
484 
562 


414 
492 
570 


421 
500 
578 




657 
558 
559 

560 

561 
562 
563 


586 
663 
741 


593 
671 

749 


601 
679 

757 


609 

687 
764 


617 
695 

772 


624 

702 
780 


632 

710 
788 


640 
7i8 
796 


648 
726 
803 


656 
733 
811 




819 


827 


834 


842 


850 


858 


865 


873 


881 


889 


896 

974 

75051 


904 
981 

059 


912 

989 
066 


920 
997 
074 


927 
*005 
082 


935 

*0I2 
089 


943 

*020 

097 


950 

*028 

105 


958 

*035 

"3 


966 

*043 

120 


I 
2 


8 

0.8 
1.6 


564 
565 
566 


128 
205 
282 


136 
213 
289 


143 
220 
297 


151 
228 
305 


159 
236 
312 


166 
243 
320 


174 
251 

328 


182 
259 

335 


189 
266 
343 


197 
274 
351 


3 
4 
5 
6 


2.4 

3-2 

4.0 
4.8 
S-6 
6.4 
7.2 


567 
568 
569 

570 

571 
572 
573 


358 
435 
511 


366 
442 
519 


374 
450 
526 


381 

458 
534 


389 

465 
542 


397 
473 
549 


404 
481 

557 


412 
488 
565 


420 
496 

572 


427 
504 
580 


7 
8 

9 


587 

664 
740 
815 


595 


603 


610 


618 


626 


633 


641 


648 


656 




671 
747 
823 


679 
755 
831 


686 
762 
838 


694 
770 
846 


702 
778 
853 


709 
785 
861 


717 
793 
868 


724 
800 
876 


732 
808 
884 


574 
575 
576 


891 

967 

76 042 


899 

974 
050 


906 
982 
057 


914 
989 
065 


921 
997 
072 


929 

*005 
080 


937 

*0I2 
087 


944 

*020 

095 


952 

*027 

103 


959 

*035 
no 




577 
578 
579 

580 

581 
582 
583 


118 
193 
268 

343 


125 
200 
27s 


133 
208 
283 


140 

215 

290 


148 
223 
298 


155 
230 
305 


163 
238 
313 


170 
245 
320 


178 

253 

328 


185 

260 
335 




350 


358 


36s 


373 


380 


388 


395 


403 


410 


418 
492 
567 


425 
500 

574 


433 
507 
582 


440 
515 
589 


448 
522 
597 


455 
530 
604 


462 

537 
612 


470 
545 
619 


477 1 485 
552 559 
626 634 


I 
2 


7 

0.7 
1.4 


584 
585 
586 


641 
716 
790 


649 
723 
797 


656 
730 
805 


664 
738 
812 


671 
745 
819 


678 
753 
827 


686 
760 
834 


693 
768 
842 


701 708 
775 782 
849 856 


3 
4 
5 
6 


2.1 
2.8 

3-S 
4.2 


587 
588 
589 

690 

591 
592 
593 


864 

938 

77012 


871 
945 
019 


879 
953 
026 


886 
960 
034 


893 
967 
041 


901 
975 
048 


908 
982 
056 


916 
989 
063 


923 930 
997 *004 
070 078 


7 
8 
9 


4.9 
5-6 
6.3 


085 


093 


100 


107 


115 


122 


129 


137 


144 


151 




159 
232 
305 


166 
240 
313 


173 
247 
320 


181 
254 
327 


188 
262 
335 


195 
269 
342 


203 
276 
349 


210 
283 
357 


217 
291 
364 


225 

298 
371 


594 
595 
596 


379 
452 

525 


386 
459 
532 


393 
466 

539 


401 

474 
546 


408 
481 
554 


415 
488 
561 


422 

495 
568 


430 
503 
576 


437 
510 
583 


444 
517 
590 




597 
598 
699 

600 


597 
670 
743 


605 
677 
750 


612 
685 

757 


619 
692 

764 


627 
699 

772 


634 
706 

779 


641 

714 
786 


648 
721 
793 


656 
728 
801 


663 
735 
808 




815 


822 


830 


837 


844 


851 


859 


866 


873 


880 


N 





1 


2 


3 


4 


5 


6 


7 


8 


9 


P P 



(11) 



N 





1 


2 


3 


4 
1 


5 


6 


7 


8 


9 


P P 


600 

601 


77815 


822 


830 


837 


844 


851 


859 


866 


873 


880 




887 


895 


902 


909 


916 


924 


931 


938 


945 


952 


602 


960 


967 


974 


981 


988 


996 


*003 


*0I0 


*oi7 


*025 




603 


78032 


039 


046 


053 


061 


068 


075 


082 


089 


097 




604 


104 


III 


118 


125 


132 


140 


147 


154 


161 


168 




605 


176 


183 


190 


197 


204 


211 


219 


226 


233 


240 




606 


247 


254 


262 


269 


276 


283 


290 


297 


305 


312 


8 


607 


319 


326 


333 


340 


347 


355 


362 


369 


376 


383 




0.8 
1.6 
2.4 
3-2 
4.0 
4.8 


608 


390 


398 


405 


412 


419 


426 


433 


440 


447 


455 




609 
610 
611 


462 


469 


476 


483 


490 


497 


S04 


512 


519 


526 


3 

4 
5 
6 


533 


540 


547 


554 


561 


569 


576 


583 


590 


597 


604 


611 


618 


625 


633 


640 


647 


654 


661 


668 


612 


675 


682 


689 


696 


704 


711 


718 


725 


732 


739 


7 


5.6 


613 


746 


753 


760 


767 


774 


781 


789 


796 


803 


810 


8 


6.4 


614 


817 


824 


831 


838 


845 


852 


859 


866 


873 


880 


9 


7.2 


615 


888 


895 


902 


909 


916 


923 


930 


937 


944 


951 




616 


9S8 


96s 


972 


979 


986 


993 


*000 


*007 


*0I4 


*02I 




617 


79029 


036 


043 


050 


057 


064 


071 


078 


085 


092 




618 


099 


106 


"3 


120 


127 


134 


141 


148 


155 


162 




619 
620 

621 


169 


176 


183 


190 


197 


204 


211 


218 


225 


232 


7 


239 


246 


253 


260 


267 


274 


281 


288 


295 


302 


309 


316 


323 


330 


337 


344 


351 


358 


365 


372 


622 


379 


386 


393 


400 


407 


414 


421 


428 


435 


442 






623 


449 


456 


463 


470 


477 


484 


491 


498 


505 


5" 


2 


1.4 


624 


518 


525 


532 


539 


546 


553 


560 


567 


574 


581 


3 


2.1 


625 


588 


595 


602 


609 


616 


623 


630 


637 


644 


650 


4 


2.8 


626 


657 


664 


671 


678 


685 


692 


699 


706 


713 


720 


5 
6 


35 
4.2 

4-9 


627 


727 


734 


741 


748 


754 


761 


768 


775 


782 


789 


7 


628 


796 


803 


810 


817 


824 


831 


837 


844 


851 


858 


8 


5-6 


629 
630 

631 


865 


872 


879 


886 


893 


900 


906 


913 


920 


927 


9 


6.3 


934 


941 


948 


955 


962 


969 


975 


982 


989 


996 




80 003 


010 


017 


024 


030 


037 


044 


051 


058 


065 


632 


072 


079 


085 


092 


099 


106 


113 


120 


127 


134 




633 


140 


147 


154 


161 


168 


175 


182 


188 


195 


202 




634 


209 


216 


223 


229 


236 


243 


250 


257 


264 


271 




635 


277 


284 


291 


298 


305 


312 


318 


325 


332 


339 




636 


346 


353 


359 


366 


373 


380 


387 


393 


400 


407 


6 


637 


414 


421 


428 


434 


441 


448 


455 


462 


468 


475 


I 


0.6 


638 


482 


489 


496 


502 


509 


516 


523 


530 


536 


543 


2 


1.2 


639 
640 

641 


550 


557 


564 


570 


577 


584 


591 


598 


604 


611 


3 
4 
5 
6 


1.8 
2.4 
30 
3.6 


618 


625 


632 


638 


645 


652 


659 


665 


672 


679 


686 


693 


699 


706 


713 


720 


726 


733 


740 


747 


642 


754 


760 


767 


774 


781 


787 


794 


801 


808 


814 


7 


4.2 


643 


821 


828 


835 


841 


848 


855 


862 


868 


875 


882 


8 
9 


4.8 
5-4 


644 


889 


895 


902 


909 


916 


922 


929 


936 


943 


949 




645 


956 


963 


969 


976 


983 


990 


996 


*003 


*0I0 


*oi7 




646 


81 023 


030 


037 


043 


050 


057 


064 


070 


077 


084 




647 


090 


097 


104 


III 


117 


124 


131 


137 


144 


151 




648 


158 


164 


171 


178 


184 


191 


198 


204 


211 


218 




649 
650 


224 


231 


238 


245 


251 


258 


265 


271 


278 


285 




291 


298 


305 


3" 


318 


325 


331 


338 


345 


351 


N 





1 


2 


3 


4 


5 


6 


7 


8 


9 


P P 



(12) 



N 





I 


2 


3 4 


5 


6 7 


8 9 


P P 


650 

651 
652 
653 


8i 291 

358 
425 
491 


298 


305 


3" 318 


325 


331 


338 


345 


351 




365 
431 
498 


371 
438 
505 


378 385 
445 451 
5" 1 518 


391 
458 
525 


398 
465 
531 


405 
471 
538 


411 418 
478 485 
544, 551 


654 
655 
656 


558 
624 
690 


564 
631 
697 


571 
637 
704 


578 584 
644 651 
710 717 


591 

657 
723 


598 
664 
730 


604 
671 
737 


611 617 
677 684 
743 750 




657 
658 
659 

660 

661 
662 
663 


757 
823 
889 

954 

82 020 
086 
151 


763 
829 

895 


770 
836 
902 


776 
842 
908 


783 
849 
915 


790 
856 
921 


796 
862 
928 


803 
869 
935 


809 816 

875 i 882 
941 948 




961 


968 


974 


981 


987 


994 


*ooo 


*007 *oi4 


027 
092 
158 


033 
099 
164 


040 
105 
171 


046 
112 
178 


053 
119 
184 


060 
125 
191 


066 
132 
197 


073 
138 
204 


079 
14s 
210 


I 


7 

0.7 
1.4 
2.1 
2.8 
35 


664 
665 
666 


217 
282 
347 


223 
289 

354 


230 
29s 
360 


236 

302 
367 


243 
308 

373 


249 

315 
380 


256 
321 
387 


263 
328 
393 


269 

334 
400 


276 

341 
406 


3 

4 
5 
6 
7 
8 

9 


667 
668 
669 

670 

671 
672 
673 


413 

478 
543 


419 
484 
549 


426 
491 
556 


432 
497 
562 


439 
504 
569 


445 
510 
575 


452 
517 
582 


458 
523 
588 


465 
530 
595 


471 
536 
601 


4.2 
4.9 
S-6 
6.3 


607 

672 

737 
802 


614 


620 


627 


633 


640 


646 


653 


659 


666 




679 
743 
808 


685 
750 
814 


692 698 

756 763 
821 827 


705 
769 
834 


711 
776 
840 


718 
782 
847 


724 
789 
853 


730 
795 
860 


674 
675 
676 


866 
930 
995 


872 
937 

*00I 


879 
943 
*oo8 


885 
950 
*oi4 


892 
956 

*020 


898 
963 

*027 


905 
969 

*033 


911 
975 
*040 


918 
982 
*046 


924 
988 

*052 




677 
678 
679 

680 

681 
682 
683 


83 059 
123 
187 


065 
129 
193 


072 
136 
200 


078 
142 
206 


085 
149 
213 


091 

155 
219 


097 
161 
225 


104 
168 
232 


no 117 
174 181 
238 245 




251 


257 


264 


270 


276 


283 


289 


296 


302 


308 


315 
378 
442 


321 

385 
448 


327 
391 
455 


334 
398 
461 


340 
404 
467 


347 
410 
474 


353 
417 
480 


359 
423 
487 


366 372 
429 436 
493 499 


I 


6 

0.6 


684 
685 
686 


506 
569 
632 


512 

575 
639 


S18 
582 
645 


525 
588 

651 


531 

594 
658 


537 
601 
664 


544 
607 
670 


550 
613 
677 


556 
620 
683 


563 
626 
689 


3 
4 

S 


1.8 
2.4 
30 


687 
688 
689 

690 

691 
692 
693 


696 

759 
822 


702 
765 
828 


708 

771 
835 


715 

778 
841 


721 

784 
847 


727 
790 
853 


734 
797 
860 


740 
803 
866 


746 
809 
872 


753 
816 
879 


6 

7 
8 
9 


3-6 

4-2 

4.8 
<;.d 


885 

948 

84 on 

073 


891 


897 


904 910 


916 


923 


929 


935 


942 




954 
017 
080 


960 
023 
086 


967 
029 
092 


973 
036 
098 


979 
042 
105 


985 
048 
III 


992 

055 
117 


998 
061 
123 


*004 
067 
130 


694 
695 
696 


136 
198 
261 


142 
205 
267 


148 
211 
273 


155 
217 
280 


161 
223 
286 


167 
230 
292 


173 
236 
298 


180 
242 
305 


186 
248 
3" 


192 

255 
317 




697 
698 
699 

700 


323 
386 
448 


330 
392 
454 


336 
398 
460 


342 
404 
466 


348 
410 
473 


354 
417 
479 


361 
423 
485 


367 
429 
491 


373 379 
435 i 442 
497 504 




510 


S16 


522 


528 535 


541 


547 


553 


559 566 


N 





1 


2 


3 4 


5 


6 


7 


8 9 


P P 



(13) 



N 


1 


2 


3 


4 


5 


1 6 ' 7 


8 9 


P P 


700 

701 
702 
703 


84 510 


516 


522 


528 


535 


541 


[ 547 , 553 


559 566 




572 
634 
696 


578 
640 
702 


584 
646 
708 


590 
652 

714 


597 
658 
720 


603 
665 
726 


609 615 
671 677 
733 739 


621 628 
683 689 

745 j 751 


704 
705 
706 


757 
819 
880 


763 
825 
887 


770 
831 
893 


776 
837 
899 


782 
844 
905 


788 
850 
911 


794 800 
856 862 
917 1 924 


807 
868 
930 


813 
874 
936 


7 


707 
708 
709 

7IO 

711 
712 
713 


942 

8s 003 

065 


948 
009 
071 


954 
016 
077 


960 
022 
083 


967 
028 
089 


973 
034 
095 


979 

040 

lOI 


985 
046 
107 


991 
052 
114 


997 
058 
120 


I 
2 
3 
4 
5 
6 

7 

8 


0.7 
1.4 
2.1 
2.8 

35 
4.2 
4.9 
5-6 


126 


132 


138 


144 


150 


156 


163 169 


175 


181 


187 
248 
309 


193 

254 
315 


199 
260 
321 


205 
266 
327 


211 
272 
333 


217 
278 

339 


224 
285 
345 


230 
291 
352 


236 
297 
358 


242 
303 
364 


714 
715 
716 


370 
431 
491 


376 
437 
497 


382 
443 
503 


388 
449 
509 


394 

455 
516 


400 
461 
522 


406 
467 
528 


412 
473 
534 


418 
479 
540 


425 
485 
546 


9 


6.3 


717 
718 
719 

720 

721 
722 
723 


552 
612 
673 


558 
618 
679 


564 
625 
685 


570 
631 
691 


576 
637 
697 


582 
643 
703 


588 
649 
709 


594 
655 
715 


600 
661 
721 


606 
667 

727 


6 


733 

794 
854 
914 


739 


745 


751 


757 


763 


769 


775 


781 


788 


800 
860 
920 


806 
866 
926 


812 
872 
932 


818 
878 
938 


824 
884 
944 


830 
890 
950 


836 
896 
956 


842 
902 
962 


848 
908 
968 


I 

2 
3 


0.6 
1.2 
1.8 


724 
725 
726 


974 

86 034 

094 


980 
040 
100 


986 
046 
106 


992 
052 
112 


998 
058 
118 


*004 
064 
124 


*0I0 

070 
130 


*oi6 
076 
136 


*022 
082 
141 


*028 

088 

147 


4 
5 
6 

7 
8 

9 


2.4 
30 
3.6 
4.2 
4.8 
5-4 


727 
728 
729 

730 

731 
732 
733 


153 
213 
273 


159 
219 

279 


165 

225 
285 


171 

231 
291 


177 
237 
297 


183 
243 
303 


189 

249 
308 


195 
255 
314 


201 
261 
320 


207 
267 

326 


332 


338 


344 


350 


356 


362 


368 


374 


380 


386 




392 
451 
510 


398 
457 
516 


404 
463 
522 


410 
469 
528 


415 
475 
534 


421 
481 
540 


427 
487 
546 


433 
493 
552 


439 
499 

558 


445 
504 
564 


734 
735 
736 


570 
629 
688 


576 
635 
694 


581 
641 
700 


587 
646 
705 


593 
652 
711 


599 
658 

717 


605 
664 
723 


611 
670 
729 


617 
676 
735 


623 
682 

741 


5 


737 
738 
739 

740 

741 
742 
743 


747 
806 
864 


753 
812 
870 


759 
817 
876 


764 
823 
882 


770 
829 
888 


776 
835 
894 


782 
841 
900 


788 
847 
906 


794 
853 
911 


800 
859 
917 


I 
2 
3 
4 
5 
6 
7 
8 
9 


o-S 

I.O 

i-S 
2.0 

2-5 

30 

3-5 
4.0 

45 


923 


929 


935 


941 


947 


953 


958 


964 


970 


976 


982 
87 040 
099" 


988 
046 
JOS 


994 
052 
III 


999 
058 
116 


*oos 
064 
122 


*OII 

070 
128 


*oi7 
075 
134 


*023 

081 
140 


*029 

087 
146 


*035 
093 
151 


744 
745 
746 


157 
216 
274 


163 
221 
280 


169 

227 
286 


175 
233 
291 


181 
239 
297 


186 
245 
303 


192 
251 
309 


198 

256 

315 


204 
262 
320 


210 
268 
326 




747 
748 
749 

750 


332 
390 
448 


338 
396 

454 


344 
402 
460 


349 
408 
466 


355 
413 
471 


361 
419 

477 


367 
425 
483 


373 
431 
489 


379 
437 
495 


384 
442 
500 




506 


5x2 


518 


523 


529 


535 


541 


547 


552 


558 


N 





1 


2 


3 


4 


5 


6 


7 


8 


9 


P P 



(14) 



N 





1 2 


3 


4 


5 


6 


7 


8 


9 


P P 


750 

751 
752 
753 


87506 


512 J 518 


523 


529 


535 


541 


547 


552 


558 




564 
622 

679 


570 576 
628 633 
685 691 


581 
639 
697 


587 
645 
703 


593 

651 
708 


599 
656 

714 


604 
662 

720 


610 
668 
726 


616 
674 
731 


754 
755 
756 


737 
795 
852 


743 
800 
858 


749 
806 
864 


754 
812 
869 


760 
818 
875 


766 
823 
881 


772 
829 
887 


777 
835 
892 


783 
841 
898 


789 
846 
904 




757 
758 
759 

760 

761 
762 
763 


910 

967 

88024 


915 
973 
030 


921 
978 
036 


927 
984 
041 


933 
990 
047 


938 
996 
053 


944 

*00I 

058 


950 
*oo7 
064 


955 
*0i3 
070 


961 
*oi8 
076 




081 


087 


093 


098 


104 


no 


116 


121 


127 


133 


138 
195 

252 


144 
201 
258 


ISO 
207 
264 


156 
213 
270 


161 
218 

275 


167 
224 
281 


173 
230 
287 


178 
235 
292 


184 
241 
298 


190 
247 
304 


I 
2 


6 

0.6 
1.2 


764 
765 
766 


309 
366 

423 


315 
372 
429 


321 

377 
434 


326 
383 
440 


332 
389 
446 


338 
395 
451 


343 
400 
457 


349 
406 
463 


355 
412 
468 


360 
417 
474 


3 

4 

5 
5 


1.8 
2.4 
30 
3.6 
4.2 
4.8 
5-4 


767 
768 
769 

770 

771 
772 
773 


480 
536 
593 


485 
542 
598 


491 
547 
604 


497 
553 
610 


502 

559 
615 


508 
564 
621 


513 
570 
627 


519 
576 
632 


525 
581 
638 


530 
587 
643 


7 
8 
9 


649 


655 


660 


666 


672 


677 


683 


689 


694 


700 




705 
762 
818 


711 
767 
824 


717 
773 
829 


722 

779 
835 


728 
784 
840 


734 
790 
846 


739 
795 
852 


745 
801 
857 


750 
807 
863 


756 
812 
868 


774 
775 
776 


874 
930 
986 


880 885 
936 941 
992 997 


891 
947 
*003 


897 
953 
*009 


902 
958 
*oi4 


908 
964 

*020 


913 
969 

*025 


919 
975 
*03i 


925 
981 
*037 




777 
778 
779 

780 

781 
782 
783 


89042 
098 
154 


048 
104 
159 


053 
109 
i6s 


059 
115 
170 


064 
120 
176 


070 
126 
182 


076 
131 
187 


081 
137 
193 


087 
143 
198 


092 
148 
204 




209 


215 


221 


226 


232 


237 


243 


248 


254 


260 


265 
321 
376 


271 
326 
382 


276 
332 
387 


282 
337 
393 


287 
343 
398 


293 

348 
404 


298 

354 
409 


304 

360 

415 


310 
365 
421 


315 
371 
426 


I 
2 


5 

0.5 

I.O 


784 
785 
786 


432 
487 
542 


437 
492 
548 


443 
498 
553 


448 
504 
559 


454 
509 
564 


459 

515 
570 


465 
520 

575 


470 

526 
581 


476 
531 
586 


481 
537 
592 


3 
4 
5 
6 


i-S 
2.0 

2-5 

30 


787 
788 
789 

790 

791 
792 
793 


597 
653 
708 


603 
658 
713 


609 
664 
719 


614 
669 

724 


620 
675 
730 


625 
680 
735 


631 
686 
741 


636 
691 

746 


642 
697 
752 


647 
702 
757 


7 
8 
9 


3-S 
4.0 
4-5 


763 


768 


774 


779 


785 


790 

845 
900 
955 


796 


801 


807 


812 




818 
873 
927 


823 
878 
933 


829 
883 
938 


834 
889 
944 


840 
894 
949 


851 
905 
960 


856 
911 
966 


862 
916 
971 


867 
922 

977 


794 
795 
796 


982 

90037 

091 


988 
042 
097 


993 
048 
102 


998 
053 
108 


*004 
059 
113 


*009 
064 
119 


*oi5 
069 
124 


*020 
075 
129 


*026 

080 
135 


*03i 
086 
140 




797 
798 
799 

800 


146 
200 

255 


151 
206 
260 


157 
211 
266 


162 
217 
271 


168 
222 
276 


173 
227 
282 


179 
233 
287 


184 
238 
293 


189 

244 
298 


195 
249 
304 




309 


314 


320 


325 


331 


336 


342 


347 


352 


358 


N 





1 1 2 


3 


4 


5 


6 


7 


8 


9 


P P 



(i:.) 



N 


L 


1 


2 


3 


4 


5 


6 


7 


8 


9 


P P 


800 

801 


90309 


314 


320 


325 


331 


336 


342 347 


352 


358 




363 


369 


374 


380 


385 


390 


396 401 


407 


412 


802 


417 


423 


428 


434 


439 


445 


450 455 


461 


466 




803 


472 


477 


482 


488 


493 


499 


504 509 


515 


520 




804 


526 


531 


536 


542 


547 


553 


558 563 


569 


574 




805 


580 


585 


590 


596 


601 


607 


612 617 


623 


628 




806 


634 


639 


644 


650 


655 


660 


666 1 671 


677 


682 




807 


687 


693 


698 


703 


709 


714 


720 


725 


730 


736 




808 


741 


747 


752 


757 


763 


768 


773 


779 


784 


789 




809 
810 

811 


795 


800 


806 


811 


816 


822 


827 


832 


838 


843 




849 


854 


859 


865 


870 


875 


881 


886 


891 


897 


902 


907 


913 


918 


924 


929 


934 


940 


945 


950 


812 


956 


961 


966 


972 


977 


982 


988 


993 


998 


*oo4 


6 


813 


91 009 


014 


020 


025 


030 


036 


041 


046 


052 


057 




0.6 
1.2 


814 


062 


068 


073 


078 


084 


089 


094 


100 


105 


no 


2 


815 


116 


121 


126 


132 


137 


142 


148 


153 


158 


164 


3 


1.8 


816 


169 


174 


180 


185 


190 


196 


201 


206 


212 


217 


4 


2.4 


817 


222 


228 


233 


238 


243 


249 


254 


259 


265 


270 


5 
6 


30 
3.6 


818 


275 


281 


286 


291 


297 


302 


307 


312 


318 


323 


7 
8 
9 


4.2 
4.8 
5-4 


819 
820 

821 


328 


334 


339 


344 


350 


355 


360 


365 


371 


376 


381 


387 


392 


397 


403 


408 


413 


418 


424 


429 


434 


440 


445 


450 


455 


461 


466 


471 


477 


482 




822 


487 


492 


498 


503 


508 


514 


519 


524 


529 


535 




823 


540 


545 


551 


556 


561 


566 


572 


577 


582 


587 




824 


593 


598 


603 


609 


614 


619 


624 


630 


635 


640 




825 


645 


651 


656 


661 


666 


672 


677 


682 


687 


693 




826 


698 


703 


709 


714 


719 


724 


730 


735 


740 


745 




827 


751 


756 


761 


766 


772 


777 


782 


787 


793 


7q8 




828 


803 


808 


814 


819 


824 


829 


834 


840 


845 


850 




829 
830 

831 


855 


861 


866 


871 


876 


882 


887 


892 


897 


903 


5 


908 


913 


918 


924 


929 


934 


939 


944 


950 


955 


960 


965 


971 


976 


981 


986 


991 


997 


*002 


*007 




OS 


832 


92 012 


018 


023 


028 


033 


038 


044 049 


054 


059 




833 


065 


070 


075 


080 


085 


091 


096 


lOI 


106 


III 


3 


1-5 


834 


117 


122 


127 


132 


137 


143 


148 


153 


158 


163 


4 


2.0 


835 


169 


174 


179 


184 


189 


195 


200 


205 


210 


215 


5 
6 


2-5 


836 


221 


226 


231 


236 


241 


247 


252 


257 


262 


267 


30 
























7 


35 


837 


273 


278 


283 


288 


293 


298 


304 


309 


314 


319 


8 


4.0 


838 


324 


330 


335 


340 


345 


350 


355 


361 


366 


371 


9 


4-5 


839 
840 

841 


376 


381 


387 


392 


397 


402 


407 


412 


418 


423 




428 


433 


438 


443 


449 


454 


459 


464 


469 


474 


480 


485 


490 


495 


500 


505 


5" 


516 


521 


526. 


842 


531 


536 


542 


547 


552 


557 


562 567 


572 


578 




843 


583 


588 


593 


598 


603 


609 


614 619 


624 


629 




844 


634 


639 


645 


650 


655 


660 


665 


670 


675 


681 




845 


686 


691 


696 


701 


706 


711 


716 


722 


727 


732 




846 


737 


742 


747 


752 


758 


763 


768 


773 


778 


783 




847 


788 


793 


799 


804 


809 


814 


819 


824 


829 


834 




848 


840 


845 


850 


855 


860 


865 


870 


875 


881 


886 




849 
850 


891 


896 


901 


906 


911 


916 


921 


927 


932 


937 




942 


947 


952 


957 


962 


967 


973 


978 


983 


988 


N 


L 


1 2 


3 


4 


5 


6 


7 


8 


9 


P P 



(16) 



N 





1 


2 


3 


4 


5 


6 


7 


8 


9 


P P 


850 

851 
852 
853 


92942 


947 


952 


957 


962 


967 


973 


978 


983 


988 




993 

93 044 
095 


998 
049 
100 


*003 
054 
105 


*oo8 

059 
no 


*oi3 
064 

"5 


*oi8 
069 
120 


*024 

075 
125 


*029 

080 
131 


*034 
085 
136 


*039 
090 
141 


854 
855 
856 


146 
197 
247 


151 
202 
252 


156 
207 
258 


161 
212 
263 


166 
217 
268 


171 
222 
273 


176 

227 

278 


181 
232 

283 


186 

237 
288 


192 

242 
293 




857 
858 
859 

860 

861 
862 
863 


298 
349 
399 


303 
354 
404 


308 

359 
409 


313 
364 

414 


318 
369 
420 


323 
374 
425 


328 

379 
430 


334 
384 
435 


339 
389 
440 


344 
394 
445 


I 
2 
3 
4 
5 
6 

7 


6 

0.6 

1.2 
1.8 
2.4 
30 
3.6 
4.2 


450 


455 


460 


465 


470 


475 


480 


485 


490 


495 


500 
551 
601 


505 
556 
606 


510 
561 
611 


515 
566 
6i6 


520 
571 
621 


526 
576 
626 


531 
581 
631 


536 
586 
636 


541 
591 
641 


546 
596 
646 


864 
865 
866 


651 
702 

752 


656 
707 
757 


661 
712 
762 


666 
717 
767 


671 
722 
772 


676 
727 
777 


682 
732 
782 


687 
737 
787 


692 
742 
792 


697 
747 
797 


8 
9 


4-8 
S-4 


867 
868 
869 

870 

871 
872 
873 


802 
852 
902 


807 
857 
907 


812 
862 

912 


817 
867 
917 


822 
872 
922 


827 
877 
927 


832 
882 
932 


837 
887 
937 


842 
892 
942 


847 
897 
947 




952 


957 


962 


967 


972 


977 


982 


987 


992 


997 


94 002 
052 

lOI 


007 
057 
106 


012 
062 
III 


017 
067 
116 


022 
072 
121 


027 
077 
126 


032 
082 
131 


037 
086 
136 


042 
091 
141 


047 
096 
146 


I 


5 

05 


874 
875 
876 


151 
201 
250 


156 
206 

255 


161 
211 
260 


166 
216 
265 


171 
221 
270 


176 
226 
275 


181 
231 
280 


186 
236 

285 


191 
240 
290 


196 
245 
295 


2 
3 
4 
5 


I.O 

i-S 
2.0 
2.5 


877 
878 
879 

880 

881 
882 
883 


300 
349 
399 


305 
354 
404 


310 
359 
409 


315 
364 
414 


320 

369 
419 


325 
374 
424 


330 
379 
429 


335 
384 
433 


340 
389 
438 


345 
394 
443 


6 
7 
8 
9 


30 
3.5 
4.0 

4-5 


448 


.453 


4S8 


463 


468 


473 


478 


483 


488 


493 


498 
547 
596 


503 
552 
601 


507 
557 
606 


512 
562 
611 


567 
616 


522 
571 
621 


527 
576 
626 


532 
581 
630 


537 
586 
635 


542 
591 
640 




884 
885 
886 


645 
694 
743 


650 
699 

748 


65s 
704 
753 


660 
709 
758 


665 

714 
763 


670 
719 
768 


675 
724 
773 


680 
729 
778 


685 
734 
783 


689 
738 
787 




887 
888 
889 

890 

891 
892 
893 


792 
841 
890 


797 
846 
895 


802 

851 
900 


807 
856 
905 


812 
861 
910 


817 
866 

915 


822 
871 
919 


827 
876 
924 


832 
880 
929 


836 
885 
934 


I 

2 
3 
4 
S 
6 
7 
8 
9 


4 

0.4 
0.8 
1.2 
1.6 
2.0 
2.4 
2.8 


939 


944 


949 


954 


959 


963 


968 


973 


978 


983 


988 

95036 

085 


993 

041 
090 


998 
046 
095 


•002 
051 
100 


*007 
056 
105 


*0I2 
061 
109 


•017 
066 
114 


*022 
071 
119 


*027 

075 
124 


*032 

080 
129 


894 
895 
896 


134 
182 
231 


139 
187 
236 


143 
192 
240 


148 
197 
245 


153 
202 

250 


158 
207 
255 


163 
211 
260 


168 
2l6 
26s 


173 

221 
270 


177 
226 
274 


3-6 


897 
898 
899 

900 


279 
328 
376 


284 
332 
381 


289 
337 
386 


294 
342 
390 


299 
347 
395 


303 
352 
400 


308 
357 
405 


313 
361 
410 


318 
366 
415 


323 
371 
419 




424 


429 


434 


439 


444 


448 


453 


458 


463 


468 


N 





1 


2 


3 


4 


5 


6 


7 


8 


9 


P P 



(17) 



N 





1 


2 


3 


4 


5 


6 


7 


8 


9 


P P 


900 

901 
902 
903 


95424 


429 


434 


439 


444 


448 


453 


458 


463 


468 




472 

521 

569 


477 
525 
574 


482 
530 

578 


487 
535 
583 


492 

540 
588 


497 
545 
593 


501 
550 
598 


506 
554 
602 


511 
559 
607 


S16 

564 

1 6" 


904 
905 
906 


617 
66s 
713 


622 
670 
718 


626 

674 
722 


631 
679 
727 


636 
684 
732 


641 
689 
737 


646 

694 
742 


650 
698 
746 


655 660 
703 708 
751 756 




907 
908 
909 

910 

911 
912 
913 


761 
809 
856 

904 


766 

813 
861 


770 
818 
866 


775 
823 
871 


780 
828 
875 


785 
832 
880 


789 
837 
885 


794 
842 
890 


799 
847 
895 


' 804 
852 
899 




909 


914 


918 


923 


928 


933 


938 


942 


947 


952 

999 

96047 


957 

*004 

052 


961 
*oo9 
057 


966 
*oi4 
061 


971 
*oi9 
066 


976 

*023 

071 


980 

*028 

076 


985 

*033 

080 


990 

*038 
085 


i 995 

*042 

090 


1 
2 


5 

0.5 

I.O 


914 
915 
916 


095 
142 
190 


099 
147 
194 


104 
152 
199 


109 
156 
204 


114 
i6i 
209 


118 
166 
213 


123 
171 
218 


128 
175 
223 


133 
180 
227 


137 

i8s 
232 


3 
4 
5 
6 
7 
8 
9 


1-5 
2.0 

2-5 


917 
918 
919 

920 

921 
922 
923 


237 
284 
332 


242 
289 
336 


246 
294 
341 


251 
298 
346 


256 
303 
350 


261 
308 

355 


265 
313 
360 


270 
317 
365 


275 
322 

369 


280 
327 
374 


30 
3-5 
4.0 
4-5 


379 
426 
473 
520 


384 


388 


393 


398 


402 


407 


412 


417 


421 




431 
478 
525 


435 
483 
530 


440 
487 
534 


445 
492 

539 


450 
497 
544 


454 
501 
548 


459 
506 
553 


464 
5" 
558 


468 

515 
562 


924 
925 
926 


567 
614 
661 


572 
619 
666 


577 
624 
670 


581 
628 
675 


586 
633 
680 


591 
638 
685 


595 
642 
689 


600 
647 
694 


605 
652 
699 


609 
656 
703 




927 
928 
929 

930 

931 
932 
933 


708 
755 
802 

848 


713 
759 
806 


717 
764 
811 


722 
769 
816 


727 
774 
820 


731 
778 
825 


736 
783 
830 


741 
788 
834 


745 
792 

839 


750 
797 
844 




453 


858 


862 


867 


872 


876 


881 


886 890 


895 
942 
988 


900 
946 
993 


904 
951 
997 


909 
956 

*002 


914 
960 
*007 


918 
965 

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923 
970 
*oi6 


928 
974 

*02I 


932 
979 

*025 


937 
984 
*030 


I 
2 


4 

0.4 
0.8 


934 
935 
936 


97035 
081 
128 


039 
086 
132 


044 
090 
137 


049 
095 
142 


053 
100 
146 


058 
104 
151 


063 
109 

155 


067 

114 

160 


072 
118 
165 


077 
123 
169 


3 
4 
5 
6 
7 
8 
9 


1.2 
1.6 
2.0 


937 
938 
939 

940 

941 
942 
943 


174 
220 
267 


179 
225 
271 


183 
230 
276 


188 
234 
280 


192 
239 

285 


197 
243 
290 


202 
248 
294 


206 

253 
299 


211 
257 
304 


216 
262 
308 


2.4 
2.8 
3-2 
3.6 


313 

359 

405 
451 


317 


322 


327 


331 


336 


340 


345 


350 


354 




364 
410 
456 


368 
414 
460 


373 
419 
465 


377 
424 
470 


382 
428 
474 


387 
433 
479 


391 

437 
483 


396 

442 
488 


400 
447 
493 


944 
945 
946 


497 
543 
589 


502 
548 
594 


S06 
552 
598 


5" 
557 
603 


516 
562 
607 


520 
566 
612 


525 
571 
617 


529 

575 
621 


534 
580 
626 


539 
585 
630 




947 
948 
949 

950 


63s 
681 
727 


640 
685 
731 


644 
690 
736 


649 
695 
740 


653 
699 

745 


658 
704 
749 


663 
708 
754 


667 
713 
759 


672 
717 
763 


676 
722 
768 




772 


777 


782 


786 


791 


795 


800 


804 


809 


813 


N 





1 


2 


3 


4 


5 


6 1 


7 


8 


9 


P P 



(18) 



N 


1 


2 


3 


4 


5 


6' 


7 


8 


9 


P P 


950 

951 
952 
953 


97 772 


777 


782 


786 


791 


795 


800 


804 


809 813 




8i8 
864 
909 


823 
868 
914 


827 
873 
918 


832 
877 
923 


836 
882 
928 


841 845 
886 891 
932 937 


850 855 
896 900 
941 946 


859 
905 
950 


954 
955 
956 


955 

98 000 

046 


959 964 

005 009 
050 055 


968 

014 
059 


973 
019 
064 


978 
023 
068 


982 

028 
073 


987 991 
032 037 
078 082 


996 

041 
087 




957 
958 
959 

960 

961 
962 
963 


091 
137 
182 


096 
141 
186 


100 
146 
191 


105 
150 
195 


109 
155 
200 


114 
159 

204 


118 
164 
209 


123 
168 

214 


127 
173 
218 


132 
177 
223 




227 


232 


236 


241 


245 


250 


254 


259 


263 


268 


272 
318 
363 


277 
322 
367 


281 
327 
372 


286 
331 
376 


290 
336 
381 


295 
340 
385 


299 

345 
390 


304 
349 
394 


308 
354 
399 


313 
3S8 
403 


I 
2 


5 

o-S 

I.O 


964 
965 
966 


408 
453 
498 


412 

457 
502 


417 
462 

507 


421 
466 
5" 


426 
471 
516 


430 

475 
520 


435 
480 
525 


439 
484 
529 


444 448 
489 493 
534 538 


3 

4 

5 
5 


IS 
2.0 

2-5 

30 

35 
4.0 
45 


967 
968 
969 

970 

971 
972 
973 


543 
588 
632 


547 
592 
637 


552 
597 
641 


556 
601 
646 


561 
605 
650 


565 
610 
655 


570 
614 
659 


574 
619 
664 


579 
623 
668 


583 
628 
673 


7 
8 
9 


677 


682 


686 


691 


695 


700 


704 


709 


713 


717 




722 
767 
811 


726 731 
771 776 
816 820 


735 
780 
825 


740 
784 
829 


744 
789 
834 


749 
793 
838 


753 
798 

843 


758 
802 
847 


762 
807 
851 


974 
975 
976 


856 
900 
945 


860 
905 
949 


865 
909 
954 


869 
914 
958 


874 
918 
963 


878 
923 
967 


883 
927 
972 


887 
932 
976 


892 896 
936 941 
981 ^ 985 




977 
978 
979 

980 

981 
982 
983 


989 

99034 

078 


994 

038 
083 


998 

043 
087 


*003 
047 
092 


*007 
052 
096 


*0I2 
056 
100 


*oi6 
061 
105 


*02I 
065 
109 


*025 *029 

069 074 
114 118 


4 


123 


127 


131 


136 


140 


145 


149 


154 


158 


162 


167 
211 
255 


171 
216 
260 


176 
220 
264 


180 
224 
269 


185 
229 

273 


189 
233 
277 


193 
238 
282 


198 
242 
286 


202 
247 
291 


207 
251 
295 


I 
2 
3 


0.4 
0.8 
1.2 


984 
985 
986 


300 
344 
388 


304 
348 
392 


308] 
352 
396 


313 
357 
401 


317 
361 
405 


322 
366 
410 


326 
370 
414 


330 

374 
419 


335 
379 
423 


339 
383 
427 


4 
5 
6 
7 
8 
9 


1.6 
2.0 
2.4 
2.8 


987 
988 
989 

990 

991 
992 
993 


432 
476 
520 


436 441 
480 484 
524 528 


445 
489 
533 


449 
493 
537 


454 
498 
542 


458 
502 
546 


463 467 
506 511 
550 1 555 


471 
515 
559 


3-2 

3-6 


564 


568 572 


577 


581 

625 
669 
712 


585 


590 


594 


599 j 603 




607 
651 
695 


612 616 
656 660 
699 704 


621 
664 
708 


629 
673 
717 


634 
677 
721 


638 
682 
726 


642 647 
686 691 
730 734 


994 
995 
996 


739 
782 
826 


743 747 
787 791 
830 835 


752 
795 
839 


756 
800 
843 


760 
804 
848 


765 
808 
852 


769 

813 
856 


774 778 
817 822 
861 865 




997 
998 
999 

lOOO 


870 
913 
957 


874 878 

! 917 922 
961 965 


883 
926 
970 


887 
930 
974 


891 
935 
978 


896 
939 
983 


900 
944 
987 


904 909 
948 952 
991 996 




00 000 


004 009 


013 


! 017 


022 


026 


030 


035 039 


N 





1 2 


3 


4 


5 


6 


7 


8 


9 


P P 



(lyj 



N 





1 


2 


3 


4 


5 


6 


7 


8 


9 


1000 

1001 
1002 
1003 


000 0000 


0434 


0869 


1303 


1737 


2171 


2605 


3039 


3473 


3907 


4341 

8677 

001 3009 


4775 
9111 
3442 


5208 
9544 
3875 


5642 
9977 
4308 


6076 
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4741 


6510 

*o844 
5174 


6943 

*i277 
5607 


7377 

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6039 


7810 
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6472 


8244 

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6905 


1004 
1005 
1006 


7337 

002 1661 

5980 


7770 
2093 
641 1 


8202 
2525 
6843 


8635 
2957 
7275 


9067 
3389 
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9499 
3821 
8138 


9932 
4253 
8569 


♦0364 
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9001 


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5116 
9432 


*I228 
5548 
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1007 
1008 
1009 

1010 

1011 
1012 
1013 


003 0295 
4605 
8912 

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0726 
5036 
9342 


"57 
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1588 
5898 

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2019 
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2451 
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2882 
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7620 

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3744 
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4174 
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3644 


4074 


4504 


4933 


5363 


5793 


6223 


6652 


7082 


7512 

005 1805 

6094 


7941 
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6523 


8371 
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8800 
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9229 
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9659 
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4379 
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1014 
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006 0380 
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1236 
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1664 
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2092 
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2521 
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2949 

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380s 
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4233 
8510 

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1017 
1018 
1019 

1020 

1021 
1022 
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007 3210 

7478 

008 1742 


3637 
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4064 
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1 108 

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1533 

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1959 
6208 

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2384 

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2809 

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3234 

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3659 
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4084 
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1024 
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3424 
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3848 
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4272 
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4696 
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5544 
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6391 

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1027 
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1030 

1031 
1032 
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5704 
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6127 
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6550 
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6973 

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5420 


7396 

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7818 
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9086 
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7529 


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8372 


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013 2587 

6797 

014 1003 


3008 
7218 
1424 


3429 
7639 
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3850 
8059 
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4271 
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5"3 
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5534 
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5955 

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6376 
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1034 
1035 
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5205 

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5625 
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8564 
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5737 
9916 


017 0333 


0751 


1 168 


1586 


2003 


2421 


2838 


3256 


3673 


4090 


4507 

8677 

018 2843 


4924 
9094 

3259 


5342 
95" 
3676 


5759 
9927 
4092 


6176 
*0344 
4508 


6593 
*076i 
4925 


7010 

*"77 

5341 


7427 

*I594 

5757 


7844 

*20I0 
6173 


8260 

*2427 

6589 


1044 
1045 
1046 


7005 

019 1163 

5317 


7421 
1578 
5732 


7837 
1994 
6147 


8253 
2410 
6562 


8669 
2825 
6977 


9084 
3240 
7392 


9500 
3656 
7807 


9916 
4071 
8222 


*0332 

4486 

8637 


*0747 
4902 
9052 


1047 
1048 
1049 

I050 


9467 

0203613 

7755 


9882 
4027 
8169 


*0296 

4442 
8583 


*07ii 
4856 
8997 


*I126 

5270 

94" 


*IS40 
5684 
9824 


*I955 
6099 

*0238 


♦2369 
6513 
*o652 


*2784 
6927 
*io66 


*3i98 
7341 
*i479 


021 1893 


2307 


2720 


3134 


3547 


3961 


4374 


4787 


5201 


5614 


N 


1 


2 


3 


4 


5 


6 


7 


8 


9 



(20) 



N 





1 


2 


3 


4 


5 


6 


7 


8 


9 


I050 

1051 
1052 
1053 


021 1893 


2307 


2720 


3134 


3547 


3961 


4374 ' 


4787 


5201 


5614 

9745 
3871 
7994 


6027 

022 0157 

4284 


6440 
0570 
4696 


6854 
0983 
5109 


7267 
1396 
5521 


7680 
1808 
5933 


8093 
2221 
6345 


8506 
2634 
6758 


8919 
3046 
7170 


9332 
3459 
7582 


1054 
1055 
1056 


8406 

023 2525 

6639 


8818 
2936 
7050 


9230 
3348 
7462 


9642 
3759 
7873 


*0054 
4171 
8284 


♦0466 
4582 
8695 


♦0878 
4994 
9106 


•1289 
5405 
9517 


*i70i 
5817 
9928 


*2II3 

6228 
*0339 


1057 
1058 
1059 

1060 

1061 
1062 
1063 


024 0750 
4857 
8960 


1161 
5267 
9370 


1572 
5678 
9780 


1982 
6088 
*oi90 


2393 

6498 

*o6oo 


2804 
6909 

*IOIO 


3214 

7319 

*I4I9 


3625 

7729 

*i829 


4036 
8139 

*2239 


4446 

8549 
*2649 


025 3059 


3468 


3878 


4288 


4697 


5107 


5516 


5926 


6335 


6744 

•0836 
4924 
9008 


7154 
026 1245 

5333 


7563 
1654 
5741 


7972 
2063 
6150 


8382 
2472 
6558 


8791 
2881 
6967 


9200 
3289 
7375 


9609 
3698 
7783 


*ooi8 
4107 
8192 


*0427 
451S 
8600 


1064 
1065 
1066 


9416 

027 3496 

7572 


9824 
3904 
7979 


*0233 
4312 
8387 


*o64i 
4719 
8794 


*i049 

5127 
9201 


*I457 
5535 
9609 


*i86s 

5942 

*ooi6 


*2273 

6350 

*0423 


*268o 

6757 
*o830 


*3o88 

7165 

*i237 


1067 
1068 
1069 

I070 

1071 
1072 
1073 


028 1644 
5713 
9777 


2051 
6119 
*oi83 


2458 

6526 

*0S90 


2865 
6932 
*0996 


3272 
7339 

*I402 


3679 

7745 

*i8o8 


4086 
8152 

*22I4 


4492 
8558 

*2620 


4899 

8964 

*3026 


5306 
9371 
*3432 


029 3838 


4244 


4649 


5055 


5461 


5867 


6272 


6678 


7084 


7489 

*I543 
5592 
9638 


7895 

030 1948 

5997 


8300 
2353 
6402 


8706 
2758 
6807 


9111 
3163 
72 1 1 


9516 
3568 
7616 


9922 

3973 
8020 


*0327 

4378 
8425 


*0732 

4783 
8830 


*ii38 
5188 
9234 


1074 
1075 
1076 


031 0043 
4085 
8123 


0447 
4489 
8526 


0851 
4893 
8930 


1256 
5296 
9333 


1660 
5700 
9737 


2064 

6104 

*oi40 


2468 
6508 

*0544 


2872 
6912 
*0947 


3277 

7315 

*i35o 


3681 

7719 

*I754 


1077 
1078 
1079 

1080 

1081 
1082 
1083 


032 2IS7 
6188 

033 0214 

4238 


2560 
6590 
0617 


2963 
6993 
1019 


3367 
7396 
1422 


3770 
7799 
1824 


4173 
8201 
2226 


4576 
8604 
2629 


4979 
9007 

3031 


5382 
9409 
3433 


5785 
9812 

3835 


4640 


5042 


5444 


5846 


6248 


6650 


7052 


7453 


7855 


8257 

0342273 

6285 


8659 
2674 
6686 


9060 
3075 
7087 


9462 
3477 
7487 


9864 
3878 
7888 


*0265 
4279 
8289 


*o667 
4680 
8690 


*io68 
5081 
9091 


*I470 
5482 
949 X 


*i87i 
5884 
9892 


1084 
1085 
1086 


035 0293 
4297 
8298 


0693 
4698 
8698 


1094 
5098 
9098 


1495 
5498 
9498 


1895 
5898 
9898 


2296 
6298 
*0297 


2696 
6698 
*o697 


3096 

7098 

'1097 


3497 
7498 
*I496 


3897 

7898 

*i896 


1087 
1088 
1089 

1090 

1091 
1092 
1093 


036 2295 
6289 

037 0279 


2695 
6688 
0678 


3094 
7087 
1076 


3494 
7486 
1475 


3893 
7885 
1874 


4293 
8284 
2272 


4692 
8683 
2671 


5091 
9082 
3070 


S49X 
9481 
3468 


5890 
9880 
3867 

7849 


4265 


4663 


5062 


5460 


5858 


6257 


6655 


7053 


7451 


8248 

038 2226 

6202 


8646 
2624 
6599 


9044 
3022 
6996 


9442 
3419 
7393 


9839 
3817 
7791 


*0237 
4214 
8188 


•0635 
4612 
8585 


*I033 
5009 
8982 


•1431 
5407 
9379 


•1829 
5804 
9776 


1094 
1095 
1096 


039 0173 
4141 
8106 


0570 
4538 
8502 


0967 
4934 
8898 


1364 
5331 
9294 


1761 
5727 
9690 


2158 
6124 
•0086 


2554 
6520 
•0482 


2951 
6917 
•0878 


3348 
7313 

*I274 


3745 
7709 
•1670 


1097 
1098 
1099 

MOO 


040 2066 
6023 
9977 

041 3927 


2462 
6419 
*0372 


2858 
6814 
'0767 


3254 
7210 

*Il62 


3650 

7605 

*I557 


4045 
8001 
*I952 


4441 
8396 
•2347 


4837 
8791 

*2742 


5232 
9187 
•3137 


5628 
9582 
•3532 


4322 


4716 


5x11 


5506 


5900 


6295 


6690 


7084 


7479 


N 





1 


2 


3 


4 


5 


6 


7 


8 


9 



t2i) 



TABLE II 



FIVE-PLACE LOGARITHMS 



OF THE 



TRIGONOMETRIC FUNCTIONS 



FOR EVERY MINUTE OF ARC FROM 0° TO 90' 



(23) 









0' 


* 








1 


L Sin 


d 


L Tan 


cd 


L Cot 


L Cos 






1 















0.00 000 


60 

59 


6.46 373 


6.46 373 


3 53 627 


0.00 000 


2 


6.76 476 


17609 
12494 


6.76 476 


17609 
12494 


323 524 


0.00 000 


58 


3 


6.94 085 


6.94 085 


3 05 915 


0.00 000 


57 


4 


7.06 579 


9691 
7918 
6694 


7.06 579 


9691 
7918 
6694 


2.93 421 


0.00 000 


56 


5 


7.16 270 


7.16 270 


2.83 730 


0.00 000 


55 


6 


7.24 188 


7.24 188 


2.75 812 


0.00 000 


54 


7 


7.30 882 


5800 
S115 
4576 

4139 

3779 
3476 
3218 


7.30 882 


5800 
5115 
4576 

4139 

3779 
3476 
3219 

2996 
2803 
2633 


2.69 118 


0.00 000 


53 


8 


7.36 682 


7.36 682 


2.63 318 


0.00 000 


52 


9 
10 

11 


7.41 797 


7.41 797 


2.58 203 


0.00 000 


51 
50 

49 


746 373 


7 46 373 


2.53 627 


0.00 000 


7 50 512 


7-50 512 


2.49 488 


0.00 000 


12 


7 54 291 


7 54 291 


2.45 709 


0.00 000 


48 


13 


7-57 767 


7-57 767 


2.42 233 


0.00 000 


47 


14 


760 985 




7.60 986 


2.39 014 


0.00 000 


46 


15 


7 63 982 


2997 
2802 
2633 


7.63 982 


2.36 018 


0.00 000 


45 


16 


7.66 784 


7 66 785 


2.33 215 


0.00 000 


44 


17 


7.69 417 


2483 
2348 
2227 

2119 


7.69 418 


2482 
2348 
2228 

2119 


2.30 582 


9 99 999 


43 


18 


7.71 900 


7.71 900 


2.28 100 


9 99 999 


42 


19 
20 

21 


7.74 248 


7.74 248 


2.25 752 


9 99 999 


41 
40 
39 


776 475 


7.76 476 


2.23 524 


9 99 999 


778 594 


778 595 


2.21 405 


9 99 999 


22 


7 80 615 




780 615 




2.19 385 


9 99 999 


38 


23 


782 545 


1848 


782 546 


1848 


2.17 454 


9 99 999 


37 


24 


7 84 393 




7 84 394 




2.15 606 


9 99 999 


36 


25 


7.86 166 




7.86 167 




2.13 833 


9 99 999 


35 


26 


7.87 870 


1639 


7.87 871 


1704 
1639 


2.12 129 


9 99 999 


34 


27 


7.89 509 




789 510 




2.10 490 


9 99 999 


33 


28 


7.91 088 


1579 


7.91 089 


1579 


2.08 911 


9 99 999 


32 


29 
30 

31 


7.92 612 


1524 
1472 

1424 


7.92 613 


1524 
1473 
1424 


2.07 387 


9 99 998 


31 
30 
29 


7.94 084 


7.94 086 


2.05 914 


9 99 998 


7-95 508 


795 510 


2.04 490 


9 99 998 


32 


7.96 887 


1336 
1297 


7.96 889 


1379 
1336 
1297 


2.03 III 


9 99 998 


28 


33 


7 98 223 


798 225 


2.01 775 


9 99 998 


27 


34 


7 99 520 




7.99 522 




2.00 478 


9 99 998 


26 


35 


8.00 779 


1259 


8.00 781 


1259 


1.99 219 


9 99 998 


25 


36 


8.02 002 


1223 
1 1 90 


8.02 004 


1223 
1 190 


I 97 996 


9 99 998 


24 


37 
38 


8.03 192 

8.04 350 


1158 
1128 
1 100 

1072 

1046 

1022 

999 


8.03 194 

8.04 353 


IIS9 
1128 
1 100 

1072 


1.96 806 
1-95 647 


9 99 997 
9 99 997 


23 
22 


39 
40 

41 


8,05 478 


8.05 481 


I 94 519 


9 99 997 


21 
20 

19 


8.06 578 


8.06 581 


I 93 419 


9 99 997 


8.07 650 


8.07 653 


I 92 347 


9 99 997 


42 
43 


8.08 696 

8.09 718 


8.08 700 

8.09 722 


1022 
998 


1.91 300 
1.90 278 


9 99 997 
9 99 997 


18 
17 


44 


8.10 717 


976 


8.10 720 


976 


1.89 280 


9 99 996 


16 


45 


8.1 1 693 


8.1 1 696 


1.88 304 


9 99 996 


15 


46 


8.12 647 


954 
934 


8.12 651 


955 
934 


187 349 


9 99 996 


14 


47 


8.13 581 




8.13 585 




1.86 415 


9 99 996 


13 


48 


8.14 495 


896 
877 
860 

843 
827 
812 


8.14 500 


89s 

878 

860 

843 
828 
812 


1.85 500 


9 99 996 


12 


49 
50 

51 


8.15 391 


8.15 395 


1.84 605 


9 99 996 


11 
10 

9 


8.16 268 


8.16 273 


1.83 727 


9 99 995 


8.17 128 


8.17 133 


1.82 867 


9 99 995 


62 


8.17 971 


8.17 976 


1.82 024 


9 99 995 


8 


53 


8.18 798 


8.18 804 


1. 81 196 


9 99 995 


7 


54 


8.19 610 




8.19 616 




1.80 384 


9 99 995 


6 


55 


8.20 407 


782 
769 


8.20 413 


797 
782 
769 


1-79 587 


9 99 994 


5 


56 


8.21 189 


8.21 195 


1.78 805 


9 99 994 


4 


57 


8.21 958 




8.21 964 


756 


1.78 036 


9 99 994 


3 


58 


8.22 713 


755 


8.22 720 


1.77 280 


9 99 994 


2 


59 
60 


8.23 456 


743 
730 


8.23 462 


742 
730 


1.76 538 


9 99 994 


1 



8.24 186 


8.24 192 


1.75 808 


9 99 993 




LCos 


d 


L Cot 


c d 


L Tan 


L Sin 


/ 



(24) 89° * 

* If interpolation is necessary, use table HI or IV. 









r 










f 


L Sin 


d 


L Tan 


1 c d 


L Cot 


L Cos 




o 

1 

2 

3 


8.24 i86 

8.24 903 

8.25 609 

8.26 304 


717 
706 
695 


8.24 192 


718 
706 
696 


1.75 808 


9 99 993 


60 

59 
58 
57 


8.24 910 

8.25 616 

8.26 312 


1.75 090 
1-74 384 
1.73 688 


9 99 993 
9 99 993 
9 99 993 


4 
5 
6 


8.26 988 

8.27 661 

8.28 324 


684 
673 
663 


8.26 996 

8.27 669 

8.28 332 


684 
673 
663 


1 73 004 
I 72 331 
1. 71 668 


9 99 992 
9 99 992 
9 99 992 


56 
55 
54 


7 
8 
9 

10 

11 
12 
13 


8 28 977 

8.29 621 

8.30 255 

8.30 879 


6S3 
644 
634 
624 

616 
608 
599 


8.28 986 

8.29 629 

8.30 263 


654 
643 
634 

625 

617 
607 
599 


1. 71 014 
1.70 371 
1.69 737 


9 99 992 
9 99 992 
9 99 991 


53 
52 
51 

50 

49 
48 
47 


8.30 888 


1.69 112 


9 99 991 


8 31 495 
8.32 103 
8.32 702 


8.31 505 

8.32 112 
8.32 711 


1.68 495 
1.67 888 
1.67 289 


9 99 991 
9 99 990 
9 99 990 


14 
15 
16 


8.33 292 

8.33 87s 

8.34 450 


S90 
583 
575 


8.33 302 

8.33 886 

8.34 461 


591 
584 
575 


1.66 698 
1.66 114 
I 65 539 


9 99 990 
9 99 990 
9 99 989 


46 
45 
44 


17 
18 
19 

20 

21 
22 
23 


8.35 018 

8.35 578 

8.36 131 

8.36 678 


568 
560 
553 

547. 

539 

533 
526 


8.35 029 

8.35 590 

8.36 143 


568 
S6i 
553 

546 

540 
533 
527 


1.64 971 
1.64 410 
1.63 857 


9 99 989 
9 99 989 
9 99 989 

9 99 988 


43 
42 
41 

40 

39 
38 
37 


8.36 689 


1.63 3" 


8.37 217 

8.37 750 

8.38 276 


8.37 229 

8.37 762 

8.38 289 


1.62 771 
1.62 238 
1. 61 711 


9 99 988 
9 99 988 
999 987 


24 
25 
26 


8.38 796 

8.39 310 
8.39 818 


520 
514 
508 


8.38 809 

8.39 323 
8.39 832 


520 
514 
509 


I. 61 191 
1.60 677 
1.60 168 


9 99 987 
9 99 987 
9 99 986 


36 
35 
34 


27 
28 
29 

30 

31 
32 
33 

34 
35 
36 


8.40 320 

8.40 816 

8.41 307 


502 
496 
491 

485 
480 

474 
470 

464 
459 
455 


8.40 334 

8.40 830 

8.41 321 


502 
496 
491 

486 

480 
475 
470 

464 
460 
455 


1.59 666 
I 59 170 
1.58 679 


9 99 986 
9 99 986 
9 99 985 


33 
32 
31 

30 

29 

28 
27 

26 
25 
24 


8.41 792 


8.41 807 


I 58 193 

I 57 713 
I 57 238 
1.56 768 

I 56 304 
I 55 844 
1-55 389 


9 99 985 


8.42 272 

8.42 746 

8.43 216 

8.43 680 

8.44 139 
8.44 594 


8.42 287 

8.42 762 

8.43 232 

8.43 696 

8.44 156 
8.44 611 


9 99 985 
9 99 984 
9 99 984 

9 99 984 
9 99 983 
9 99 983 


37 
38 
39 

40 

41 
42 
43 


8.45 044 
8.45 489 
8.45 930 


450 
445 
441 

436 

433 
427 
424 


8.45 061 
8.45 507 
8.45 948 


4SO 
446 
441 

437 

432 
428 
424 


I 54 939 
I 54 493 
I 54 052 


9 99 983 
9 99 982 
9 99 982 


23 
22 
21 

20 

19 
18 
17 


8.46 366 


8.46 385 


I S3 615 


9 99 982 


8.46 799 

8.47 226 
8.47 650 


8.46 817 

8.47 245 
8.47 669 


I 53 183 
1-52 755 
I 52 331 


9 99 981 
9 99 981 
9 99 981 


44 
45 
46 

47 
48 
49 

SO 

51 
52 
53 


8.48 069 
8.48 485 

8.48 896 

8.49 304 
8 49 708 

8.50 108 


419 
416 
411 

408 
404 
400 

396 

393 
390 
386 


8.48 089 
8.48 S05 

8.48 917 

8.49 325 

8.49 729 

8.50 130 


420 
416 
412 

408 
404 
401 

397 

393 
390 

386 


1.51 911 
X-5I 495 
1.51 083 

I 50 675 
I 50 271 
1.49 870 


9 99 980 
9 99 980 
9 99 979 

9 99 979 
9 99 979 
9 99 978 


16 
15 
14 

13 
12 
11 

10 

9 

8 
7 


8.50 504 


8.50 527 


I 49 473 


9 99 978 


8.50 897 

8.51 287 
8.51 673 


8.50 920 

8.51 310 
8.51 696 


1.49 080 
1.48 690 
1.48 304 


9 99 977 
9 99 977 
9 99 977 


54 
55 
56 


8.52 055 
8.52 434 
8.52 810 


382 
379 
376 


8.52 079 
8.52 459 
8.52 83s 


383 
380 
376 


1.47 921 
1-47 541 
I 47 165 


9 99 976 
9 99 976 
9 99 975 


6 
5 

4 


57 
58 
69 

60 


8.53 183 
8.53 552 
8.53 919 


373 
369 
367 
363 


8.53 208 

8.53 578 
8-53 945 

8.54 308 


373 
370 
367 
363 


1.46 792 
1.46 422 
1 46 05s 


9 99 975 
9 99 974 
9 99 974 


3 
2 
1 




8.54 282 


1.45 692 


9 99 974 




L Cos 


d 


L Cot 


c d 


L Tan 


L Sin 


f 



88° * ^-^^ 

♦ If interpolation is neccssarj'. use table HI or W. 



2' 



1 


L Sin 


d 


L Tan 


cd 


L Cot 


L Cos 






P 


P 






1 


8.54 282 
8.54 642 


j()0 


8.54 308 


361 

358 


1.45 692 
I 45 331 


9 99 974 
9 99 973 


60 

59 










8.54 669 


2 


8.54999 ; '^{ 


8.55 027 


1-44 973 


9 99 973 


58 




360 


350 


340 


3 


8.55 354 


j3i 


8.55 382 


355 


1.44 618 


9 99 972 


57 


I 


36 


35 


34 


4 


8.55 705 


.551 


8.55 734 


352 


1.44 266 


9 99 972 


56 


2 


72 


70 


68 


5 


8.56 054 


349 


8.56 083 


349 


1-43 917 


9 99 971 


55 


3 




lOS 


102 
136 
170 


6 


8.56 400 


J40 


8.56 429 


340 


1-43 571 


9.99 971 


54 


5 


180 


175 


7 


8.56 743 


343 


8.56 773 


344 


1.43 227 


9 99 970 


53 


6 


216 


210 


204 


8 


8.57 084 


341 


8.57 114 


341 
338 

336 

333 


1.42 886 


9 99 970 


52 


7 
8 
9 


252 
288 
324 


24s 
280 
31S 


238 


9 

10 
11 


8.57 421 


337 
336 
332 


8.57 452 


1.42 548 


9 99 969 


51 
50 

49 


272 
306 


8.57 757 


8.57 788 

8.58 121 


1.42 212 


9 99 969 


8.58 089 


1.41 879 


9 99 968 


12 


8.58 419 


330 
328 


8.58 451 


33<J 
328 


1-41 549 


9 99 968 


48 




330 


320 


310 


13 


8.58 747 


8.58 779 


1. 41 221 


9 99 967 


47 


I 


33. 


32 


31 


14 


8.59 072 


32s 


8.59 105 


326 


1 .40 89s 


9 99 967 


46 


2 


66 
99 
132 


64 
96 
128 


62 
93 
124 


15 


8.59 395 


323 


8.59 428 


323 


1.40 572 


9 99 967 


45 


4 


16 


8.59 71S 


320 


8.59 749 


321 


1.40 251 


9 99 966 


44 


5 


165 


160 


IS5 


17 


8.60 033 


31S 
316 


8.60 068 


319 
316 


I 39 932 


9 99 966 


43 


6 

7 
8 


198 
231 

264 


192 

224 
256 


186 

217 

248 


18 


8.60 349 


8.60 384 


1.39 616 


9 99 965 


42 


19 
20 
21 


8.60 662 


313 
311 
309 


8.60 698 


314 
311 
310 


I 39 302 


9 99 964 


41 
40 

39 


9 


297 
300 


288 
290 


279 
285 


8.60 973 


8.61 009 


1.38 991 


9 99 964 


8.61 282 


8.61 319 


1.38 681 


9 99 963 


22 


8.61 589 


307 


8.61 626 


307 


I 38 374 


9 99 963 


38 




23 


8.61 894 j ^"^ 


8.61 931 


305 


1.38 069 


9 99 962 


37 


I 


30 
60 
90 


29 

58 
87 


28.S 


24 


8.62 196 : ^°' 


8.62 234 


303 


1.37 766 


9 99 962 


36 


3 


85-S 


25 


8.62 497 


298 


8.62 535 


301 


I -37 465 


9 99 961 


35 


4 


120 


116 


114.0 


26 


8.62 795 


8.62 834 


299 


1.37 166 


9 99 961 


34 


5 


150 


145 


142-5 


27 


8.63 091 


296 


8.63 131 


297 


1.36 869 


9.99 960 


33 


6 

7 


180 
210 


174 
203 


171. 
199-S 


28 


8.63 385 


294 


8.63 426 


295 


1-36 574 


9 99 960 


32 


8 


240 


232 


228.0 


29 
30 

31 


8.63 678 


293 

290 

288 
287 
284 


8.63 718 


291 

289 
287 
28s 


1.36 282 


9 99 959 


31 
30 

29 


9 


270 
280 


261 
275 


256.5 
270 


8.63 968 


8.64 009 


1-35 991 


9 99 959 
9 99 958 


8.64 256 


8.64 298 


1-35 702 


32 


8.64 543 


8.64 58s 


1-35 415 


9 99 958 


28 




28.0 
56.0 






33 


8.64 827 


8.64 870 


1-35 130 


9 99 957 


27 


2 


550 


S4-0 


34 


8.65 no 


2S3 
281 


8.65 154 


2 64 

281 
280 


1 .34 846 


9 99 956 


26 


3 


84.0 


82.5 


81.0 


35 


8.65 391 


8.65 435 


1-34 565 


9 99 956 


25 


4 








36 


8.65 670 




8.65 715 


1-34 285 


9 99 955 


24 


6 


168.0 


165.0 


162.0 


37 


8.65 947 


277 
276 
274 

272 

270 
269 
267 


8.65 993 


270 
276 
274 

273 

271 
269 
268 


1.34 007 


9 99 955 


23 


7 


196.0 


192-5 


189.0 


38 
39 

40 

41 


8.66 223 
8.66 497 


8.66 269 
8.66 543 

8.66 816 

8.67 087 


1-33 731 
I 33 457 


9 99 954 
9 99 954 


22 

21 

20 

19 


9 


252.0 
265 


247-5 
260 


243.0 

255 


8.66 769 


1-33 184 


9 99 953 


8.67 039 


I 32 913 


9 99 952 


42 


8.67 308 


8.67 356 


1.32 644 


9 99 952 


18 


I 


26.5 


26.0 


25-S 


43 


8.67 575 


8.67 624 


I 32 376 


9 99 951 


17 


2 


530 


52-0 


Si-o 


44 


8.67 841 


266 
26,5 
9A ' 


8.67 890 


200 

264 
263 


1.32 no 


9 99 951 


16 


3 


795 


78.0 


76.5 


45 


8.68 104 


8.68 154 


1. 3 1 846 


9 99 950 


15 


5 


132.5 


130.0 


127-5 


46 


8.68 367 




8.68 417 


I 31 583 


9 99 949 


14 


6 


1590 


156.0 


153-0 


47 


8.68 627 


260 
259 
258 

256 

254 
253 
252 


8.68 678 


20I 


1-31 322 


9 99 949 


13 


7 
8 


185.5 


182.0 


178.5 


48 


8.68 886 


8.68 938 


258 

257 

255 


1. 3 1 062 


9 99 948 


12 


9 


238.5 


234-0 


229.5 


49 
50 

51 


8.69 144 


8.69 196 


1.30 804 


9 99 948 


11 
10 
9 




250 


245 


240 


8.69 400 


8.69 453 


I 30 547 


9 99 947 


8.69 654 


8.69 708 


1.30 292 


9 99 946 


52 


8.69 907 


8.69 962 


252 


1.30 038 


9 99 946 


8 


I 


250 


24-S 


24.0 


53 


8.70 159 


8.70 214 


1.29 786 


9 99 945 


7 


2 


50.0 


49-0 


48.0 


54 


8.70 409 


250 
249 
247 


8.70 465 


251 
249 

248 


I 29 535 


9 99 944 


6 


3 
4 


7S-0 

lOO.O 


73-5 
198.0 


72.0 
96.0 


55 


8.70 658 


8.70 714 


1.29 286 


9 99 944 


5 


5 


125.0 


122. 5 


120.0 


56 


8.70 90s 


8.70 962 


1.29 038 


9 99 943 


4 


6 


150.0 


147.0 


144.0 


57 
58 


8.71 151 
8.71 395 


246 
244 
243 
242 


8.71 208 
8.71 453 


246 

245 


1.28 792 
1.28 547 


9 99 942 
9 99 942 


3 
2 


7 
8 
9 


1750 
200.0 
225.0 


171-5 
196.0 
220.5 


168.0 
192.0 
216.0 


59 
60 


8.71 638 
8.71 880 


8.71 697 


243 


1.28 303 


9 99 941 


1 











8.71 940 


1.28 060 


9 99 940 




L Cos 


d 


L Cot 


Cd 


L Tan 


L Sin 


1 




P 


P 





(26) 



87' 













3 













1 


L Sin 


d 


L Tan 


cd 


L Cot 


L Cos 




P P 


o 


8.71 880 


240 


8.71 940 


241 


1.28060 


9 99 940 


60 


241 239 237 23G 231 


















1 


8.72 120 




8.73 181 




1.27 819 


999940 


59 




2 
3 


8.72 359 
8.72 597 


^30 

-37 


8.72 420 
8.72 659 


239 
239 
237 


1.27580 
1-27341 


9 99 939 
9 99 938 


58 
57 


I 
2 
3 


24.1 23.g 23.7 23.0 23.4 

48.2 47.8 47.4 47.2 46.8 

72.3 71.7 71. 1 70.8 70.2 


4 


8.72 834 




8.72 896 


236 


1.27 104 


999938 


56 


4 


96.4 95.6 94.8 94.4 93.6 


5 


8 73 069 


-3 5 


8.73 132 


1.26868 


9 99 937 


55 


5 
6 

7 


120.5 119. 5 118.5 118.0 117.0 

144.6 143.4 142.2 141. 6 140.4 

168.7 167-3 165-9 165-2 163.8 


6 


8 73 303 


-32 


8.73 366 


234 
234 


1.26634 


999936 


54 


7 


8.73 535 




8.73 600 




1.26 400 


9 99 936 


53 


8 


192.8 191.2 189.6 188.8 187.2 


8 


8.73 767 


-32 


8.73 832 


232 


1.26 168 


9 99 935 


52 


9 


216.9 2151 213.3 212.4 210.6 


9 


8 73 997 


.230 
229 


8.74 063 


231 
229 


I 25 937 


9 99 934 


51 


232 231 229 227 226 1 


















10 
11 


8.74226 
8.74454 


228 

226 
226 
224 


8.74292 
8.74521 


229 


1.25708 


9 99 934 


50 

49 


I 
2 


23.2 23.1 22.9 22.7 22.6 
46.4 46.2 45.8 45.4 45.2 


1-25 479 


9 99 933 


12 
13 


8.74 680 
8.74906 


8.74748 
8.74974 


227 
226 
225 


1.25252 
1.25026 


999932 
999932 


48 
47 


3 
4 
5 


69.6 69.3 68.7 68.1 67.8 
92.8 92.4 91.6 90.8 90.4 
116.0 115.5 114-5 113-S 113.0 


14 


8.75130 




8 75199 




1.24 801 


999931 


46 


6 


139.2 138.6 137.4 136.2 135-6 


15 
16 


8.75353 
8.75 575 


-'23 
220 


8.75423 
8.75645 


224 
222 

222 


1-24577 
I 24355 


9 99 930 
999929 


45 

44 


7 
8 
9 


162.4 161. 7 160.3 158.9 158.2 
185.6 184.8 183.2 181.6 180.8 
208.8 207.9 206.1 204.3 203.4 


17 


8 75 795 




8.75867 




I 24133 


999929 


43 


1 


18 


8.76015 


220 


8.76087 


2 20 


I 23913 


999928 


42 


224 222 220 219 217 | 


19 
20 


8.76234 


219 
217 

216 


8.76306 
8.76525 


219 
219 

217 


1 .23 694 


^99 927 


41 
40 


I 

2 
3 


22.4 22.2 22.0 21.9 21.7 1 


8.76451 


I -23 475 


9.99926 


44.8 44.4 44.0 43 
67.2 66.6 66.0 65 


8 43-4 
7 65.1 


21 


8.76 667 


216 

-13 


8.76 742 


216 
215 

214 


1-23258 


9.99926 


39 


4 


89.6 88.8 88.0 87 


6 86.8 


22 
23 


8.76883 
8.77097 


8.76958 
8.77173 


1.23 042 
1.22 827 


999925 
9.99924 


38 
37 


S 
6 

7 


112. iii.o iio.o 109 
134-4 133-2 132-0 131 
156.8 155.4 1540 153 


5 108.5 
4 130.2 
3 151-9 


24 


877310 




8.77387 




1.22 613 


999923 


36 


8 


179.2 177.6 176.0 175 


2 173-6 


25 


8.77522 


2 12 


8.77600 


213 


1.22 400 


999923 


35 


9 


201.6 iQg.8 198.0 197 I 195.3 1 


26 


8.77 733 


2 11 
210 


8.77 811 


211 
211 


1.22 189 


999922 


34 


216 214 213 211 209 1 


27 


8.77943 




8.78 022 




1. 21 978 


999921 


33 


1 


28 


8.78152 


209 
208 
208 

206 


8.78232 


210 


1. 21 768 


9.99920 


32 


I 


21.0 21.4 21.3 21.1 20.9 
43.2 42.8 42.6 42.2 41.8 
64.8 64.2 63.9 63.3 62.7 
86.4 85.6 85.2 84.4 83.6 
108.0 107.0 106.5 105-5 104-S 
129.6 128.4 127.8 126.6 125.4 


29 
30 

31 


8.78360 


8.78441 


209 
208 

206 

206 

20s 
204 


121 559 


999920 


31 
30 

29 


3 
4 
5 
6 


8.78 568 


8.78 649 


I 21 351 


999919 


8.78774 


8.78855 


1.21 145 


999918 


32 
33 


8.78979 
8.79183 


205 
204 
20,3 


8.79 061 
8.79266 


1.20939 
1.20734 


999917 
9.99917 


28 
27 


7 
8 
9 


151. 2 149.8 149-1 147-7 146.3 
172.8 171. 2 170.4 168.8 167.2 
194.4 192.6 191. 7 1899 188. 1 


34 


8.79 386 




8.79470 




1.20 530 


9.99916 


26 


1 


35 


8.79 588 


202 


8.79 673 


203 


1.20327 


999915 


25 


208 206 203 201 199 | 


36 


8.79 789 


201 
201 


8.79875 


202 
201 


1.20125 


9.99914 


24 


I 


20.8 20.6 20.3 20.1 19.9 


37 


8.79 990 




8.80076 




1. 19 924 


999913 


23 


2 


41.6 41.2 40.6 40.2 39.8 


38 


8 80 189 


I go 


8.80277 


201 


1-19723 


999913 


22 


3 


62.4 61.8 60.9 60.3 59.7 
83.2 82.4 81.2 80.4 79.6 
104.0 103.0 101.5 100.5 99-5 
124.8 123.6 121. 8 120.6 119. 4 
145.6 144.2 142. 1 140.7 139-3 
166.4 164.8 162.4 160.8 159.2 


39 
40 

41 


8.80 388 
8.80 585 
8 80 782 


199 
197 
197 
196 


8.80476 


199 
198 

198 

196 
196 


I 19524 


999912 


21 
20 

19 


4 
5 
6 
7 
8 


8.80674 
8.80872 


1. 19 326 


999911 


1. 19 128 


999910 


42 


880978 


8.81 068 


I-I8932 


999909 


18 


9 


187.2 185.4 182.7 180.9 179-1 


43 


8.81 173 


19s 


8.81 264 


I-I8736 


999909 


17 


.«„ 1 


44 


8 81 367 


194 


8.81 459 


19s 


1. 18 541 


999908 


16 


198 196 194 192 190 1 


45 


8 81 560 


19.5 


8.81 653 


194 


1. 18 347 


999907 


15 


I 


19. » 19.0 19.4 19.2 19.0 
39.6 39.2 38.8 38.4 38.0 
59.4 58.8 58.2 57-6 57-0 


46 


8 81 752 


192 
192 


8.81 846 


193 
192 


1. 18 154 


999906 


14 


2 

3 


47 


8 81 944 




8.82 038 




1. 1 7 962 


999905 


13 


4 


79.2 78.4 77-6 76.8 76.0 


48 


8 82 134 


1 90 


8 82 230 


192 


1. 17 770 


9 99904 


12 


-S 


99.0 98.0 97.0 96.0 95.0 


49 
50 

51 


8,82 324 
882513 
8.82 701 


190 
189 

1S8 

187 

187 
1S6 


8.82 420 


190 
190 

189 

188 
188 
186 


1. 1 7 580 


999904 


11 

10 

9 


6 
7 
8 




118. 8 117.6 116.4 1152 114.0 
138.6 137.2 135.8 134.4 133-0 
158.4 156.8 155.2 153.6 152.0 

178.2 176. J 17.1.6 172.8 I7I.O 


8.82 610 


I 17390 


999903 


8.82 799 


1. 1 7 201 


999902 




52 


8 82 888 


8.82 987 


1. 17 013 


999901 


8 


188 186 184 182 181 1 


53 


88307s 


8.83 175 


1. 16 825 


999900 


7 




18.8 18.6 18.4 18.2 I8.I 


54 


8 83 261 


i8,S 
1S4 
18.; 


8 83 361 


1S6 
185 
184 


1.16639 


999899 


6 




37-6 37.2 36.8 36.4 36.2 


55 


8 83 446 


8 83 547 


116 453 


999898 


5 




56.4 55.8 55-2 54.6 54-3 
75-2 74-4 73-6 72.8 72.4 
94.0 93.0 92.0 gi.o 90.5 


56 


8 83 630 


8.83 732 


1. 16 268 


9 99 898 


4 




57 


883813 


18.? 
181 
181 


883916 


184 
182 
182 


1. 16 084 


9 99 897 


3 


6 


112.8 III. 6 110.4 109.2 108.6 


58 


8 83 996 


8.84 100 


1. 1 5 900 


999896 


2 


7 


131. 6 130.2 128.8 127.4 126.7 
150.4 148.8 147-2 145-6 144-8 
160 3 167.1 16? 6 i6(.8 162.0 


59 
60 


8 84 177 
884358 


8.84 282 
8.84464 


1-15718 


999895 


1 



8 

g 


I 15536 


9 99 894 




L Cos 


d 


LCot 


cd 


LTan 


L Sin 


( 


P P 



86 



(27) 



1 

2 
3 

4 
5 
6 

7 
8 
9 

10 

11 
12 
13 

14 
15 
16 

17 
18 
19 

20 

21 
22 
23 

24 
25 
26 

27 
28 
29 

30 

31 
32 
33 

34 
35 
36 

37 
38 
39 

40 

41 
42 
43 

44 
45 
46 

47 
48 
49 

50 

51 
52 
53 

54 
55 
56 

57 
58 
59 

60 



L Sin 
8.84 358 



8.84 539 
8.84 718 

8.84 897 

8.85 075 
8.85 252 
8.85 429 

8.85 605 
8.85 780 
8.85 955 



8.86 128 



8.86 301 
8.86 474 
8.86 645 

8.86 816 

8.86 987 

8.87 156 

8.87 32s 
8.87 494 
8.87 661 



8.87 829 



8.87 995 

8.88 161 
8.88 326 

8.88 490 
8.88 654 
8.88 817 

8.88 980 

8.89 142 
8.89 304 



8.89 464 



8.89 625 I 
8.89 784 

8.89 943 

8.90 102 
8.90 260 
8.90 417 

8.90 574 
8.90 730 
8.90 885 



8.91 040 

8.91 195 
8.91 349 
8.91 502 

8.91 655 
8.91 807 

8.91 959 

8.92 no 
8.92 261 
8.92 411 



8.92 561 



8.92 710 

8.92 859 

8.93 007 

8.93 154 
8 93 301 
8.93 448 

8.93 594 
8.93 740 

8.9 3 885 

8.94 030 



L Cos 



L Tan 

8.84 464 

8.84 646 

8.84 826 

8.85 006 

8.85 185 
8.85 363 
8.85 540 

8.85 717 
8.8s 893 

8.86 069 



8.86 243 



8.86 417 
8.86 591 
8.86 763 

8.86 935 

8.87 106 
8.87 277 

8.87 447 
8.87 616 
8.87 785 



8.87 953 



8.88 120 
8.88 287 
8.88 453 
8.88 618 
8.88 783 

8.88 948 

8.89 III 
8.89 274 
8.89 437 



8.89 598 



8.89 760 

8.89 920 

8.90 080 

8.90 240 
8.90 399 
8.90 557 

8.90 715 

8.90 872 

8.91 029 



8.91 185 



8.91 340 
8.91 495 
8.91 650 

8.91 803 

8.91 957 

8.92 no 

8.92 262 
8.92 414 
8.92 565 



8.92 716 



8.92 866 

8.93 016 
8.93 165 

8.93 313 
8.93 462 
8.93 609 

8.93 756 

8.93 903 

8.94 049 



8 94 195 



c d L Cot 



182 

80 

So 

79 t 

78 

77 

77 

76 
76 
74 

74 

74 
72 
72 

71 
71 
70 

69 
69 
68 

67 

67 
66 
6S 

6S 
65 
63 

63 
63 
61 

62 

60 
60 
60 

59 

S8 



I 15 536 

115 354 
I 15 174 
I 14 994 
I. 14 815 
I 14 637 
1. 14 460 

1. 14 283 
1. 14 107 
I 13 931 



113 757 



.13 583 
13 409 
• 13 237 

.13 065 
.12 894 
.12 723 

.12 553 
.12 384 
.12 215 



1. 12 047 



1. 1 1 880 
I. II 713 
III 547 
I. II 382 
I. II 217 
I. II 052 

1. 10 889 
1. 10 726 
1. 10 563 



L Cos 

gi.99 894 

9 99 893 
9 99 892 
9 99 891 
9 99 891 
9 99 890 
9 99 889 
9.99 888 
9 99 887 
9.99 886 



9 99 885 



9 99 884 
9 99 883 
9.99 882 

9.99 881 
9.99 880 
9 99 879 

9 99 879 
9 99 878 
9 99 877 



9 99 876 



1. 10 402 



I. 10 240 
1. 10 080 
1.09 920 

1.09 760 
1.09 601 
1.09 443 

1.09 285 
1.09 128 
1.08 971 



1.08 815 



1 .08 660 
1.08 505 
1.08 350 

1.08 197 
1.08 043 
1.07 890 

1.07 738 
1.07 586 
I 07 435 



1.07 284 



I 07 134 
1.06 984 
1.06 835 

1.06 687 
1.06 538 
1.06 391 

1.06 244 
1.06 097 
I 05 951 



9 99 875 
9 99 874 
9 99 873 
9 99 872 
9 99 871 
9 99 870 

9 99 869 
9.99 868 
9 99 867 



9.99 866 



9.99 865 
9 99 864 
9 99 863 
9.99 862 
9.99 861 
9.99 860 

9 99 859 
9 99 858 
9 99 857 



9 99 856 



9 99 855 
9 99 854 
9 99 853 
9 99 852 
9 99 851 
9 99 850 

9 99 848 
9 99 847 
9 99 846 



9 99 845 



I. OS 805 



L Cot cd L Tan L Sin ' 



9.99 844 
9 99 843 
9 99 842 

9 99 841 
9 99 840 
9 99 839 
9 99 838 
9 99 837 
9 99 8 36 



9 99 834 



60 

59 

58 
57 

56 
55 
54 

53 
52 
51 

50 

49 
48 
47 

46 

45 
44 

43 
42 
41 

40 

39 
38 
37 

36 
35 
34 

33 
32 
31 

30 

29 
28 
27 

26 
25 

24 

23 
22 
21 

20 

19 
18 
17 

16 
15 
14 

13 
12 
11 

10 

9 

8 
7 

6 
5 
4 

3 
2 
1 



(28) 



85 



p p 



183 

18.2 
36.4 
54-6 
72.8 
91.0 
109.2 
127.4 
14.S.6 
163-8 



181 

i8.i 
36-2 
S4-3 
72.4 
90.5 
108.6 



180 

18.0 
36.0 
S4-0 
72.0 
90.0 



179 178 



17.9 
35-8 
53-7 
71.6 

•5 



17.8 
35-6 
53-4 
71.2 
89.0 



o 107.4 106.8 

126.7 126.0 125.3 124.6 

144.8 144.0 143.2 142.4 

162.9 162.0 161. 1 160.2 



177 176 175 174 173 



17.7 
35-4 
53-1 
70.8 



17.6 
35-2 
S2.8 

70.4 



I7-S 
350 
52-5 
70.0 
87.5 

106.2 105.6 105.0 104.4 103.; 
123.9 123.2 122.5 121.8 121. 1 
141.6 140.8 140.0 139.2 138.4 

159.3 158.4 157-5 156.6 155.7 



17.4 
34-8 

52.2 
69.6 
87.0 



17-3 
34-6 
51-9 
69.2 
86.5 



173 171 170 



168 



17.2 

34-4 
51-6 
68.8 
86.0 
103.2 
120.4 
137.6 
154-8 

167 



17.1 

34-2 
51-3 



102.6 
119-7 
136.8 
153-9 



169 

16.9 

33-8 

50.7 

67.6 

84.5 

102.0 101.4 100.8 
119.0 118.3 117.6 
136.0 135.2 134.4 
153.0 152.1 151.2 

165 164 163 



17.0 

34-0 
Si-o 
68.0 
85.0 



16.8 
33-6 
50-4 
67.2 

84.0 



166 

16.6 

33-2 

49-8 

„...„ 66.4 

83.5 83.0 82.5 

100.2 99.6 99.0 V" 
116.9 116. 2 115. 5 114.U 
133.6 132.8 132.0 131. 2 

150.3 149.4 148.5 147-6 



16.7 
33-4 
50.1 
66.8 



16.S 
33 -o 
49-5 
66.0 



16.4 
32.8 
49-2 
65.6 
82.0 
98.4 



16.3 
32.6 
48.9 
65.2 
81.S 
97-8 
114.1 
130.4 
146.7 



162 

16.2 
32.4 
48.6 
64.8 
81.0 
97-2 
ll,v4 
129.6 
145-8 



161 

16. 1 
32.2 
48.3 
64.4 
80. 5 
96.6 
112.7 
128.8 
144-9 



160 

16.0 
32.0 
48.0 
64.0 
80.0 
96.0 



159 168 



15-9 

31-8 

47-7 

63-6 

79-5 

95-4 _ 
I12.0 III. 3 110.6 
128.0 127.2 126.4 
144.0 143.1 142.2 



15-8 
31.6 
47-4 
63.2 
79.0 
94-8 



157 156 155 154 153 

iS-7 iS-6 iS-5 15-4 15-3 

31.4 31.2 31.0 30.8 30.6 

47.1 46.8 46.5 46.2 45-9 
62.8 62.4 62.0 61.6 61.2 

78.5 78.0 77-5 77-0 76.5 

94.2 93.6 93.0 92.4 91.8 
109.9 109.2 108.5 107.8 107.1 
125.6 124.8 124.0 123.2 122.4 
141.3 140.4 139-5 138.6 137.7 

153 151 150 149 148 



I 


15-2 


2 
3 
4 

5 


30.4 
45-6 
60.8 
76.0 


6 

7 
8 
9 


91.2 
106.4 
121.6 
136-8 



I5-I 
30.2 

45-3 
60.4 
75-5 
90.6 



15.0 
30.0 
45-0 
60.0 
75-0 
90.0 



14.9 
29.8 
44-7 
59-6 

74-5 



14-8 
29.6 
44-4 
59-2 
74.0 



105.7 105.0 104.3 103.6 

120.8 120.0 119.2 118.4 
135-9 I3S-0 I34-I 133-2 



P P 



~0 


L Sin 


d 


L Tan 


cd 


L Cot 


L Cos 




P P 1 


8.94 030 


144 


8.94 195 


1 
14s 


1.05 805 


9 99 834 


60 












1 


8 94 174 


8 94 340 


1.05 660 


9 99 833 


59 




U< 


14(i 


Ua 


144 


2 


8 94 317 


MJ 


8 94 485 


145 


I 05 515 


9 99 832 


58 


I 


14.7 


14-6 


14-5 


14.4 


3 


8.94 461 


144 
142 


8.94 630 


145 
143 


I 05 370 


9 99 831 


57 


2 
i 


29.4 
44.1 


29.2 
43-8 


29.0 
43. S 


28.8 
43-2 


4 


8.94 603 




8.94 773 




1.05 227 


9 99 830 


56 


4 


58.8 


58.4 


s8.o 


S7-6 


5 


8 94 746 


I4J 


8.94 917 


144 


1.05 083 


9 99 829 


55 


5 


73-S 


73-0 


72. S 


72.0 


6 


8.94 887 


141 

14- 


8.95 060 


143 
142 


1.04 940 


9.99 828 


54 


6 

7 


88.2 
102.9 


87.6 
102.2 


87.0 
loi.s 


86.4 
100.8 


7 


8.95 029 




8.95 202 




1.04 798 


9 99 827 


53 


8 


117. 6 


1 16.8 


116.0 


115-2 


8 


8.95 170 


141 


8 95 344 


142 


1.04 656 


9 99 825 


52 


9 


132-3 


131-4 


130.5 


129.6 


9 


8.95 310 


140 
140 

139 


8.95 486 


142 

lAJ 


1.04 514 


9 99 824 


51 




143 

14.3 


142 

14.2 


141 

14. 1 


140 

14.0 


lO 


8.95 450 


8.95 627 


140 '•°'*3^^ 


9 99 823 


50 


I 


11 


8.95 589 


8.95 767 


1.04233 


9.99 822 


49 


2 


28.6 


28.4 


28.2 


28.0 


12 


8 95 728 


139 


8.9s 908 


^41 j 1.04 092 


9 99 821 


48 


3 


42.9 


42.6 
S6.8 
71.0 


42.3 


42.0 


13 


8.95 867 


130 
13S 


8.96 047 


159 1.03 953 

140 


9.99 820 


47 


4 
5 


57-2 
71S 


S6.4 
70.S 


S6.o 
70.0 


14 


8.96 005 


138 


8.96 187 


Q I 03 813 


9 99 819 


46 


6 


85.8 


85.2 


84.6 


84.0 


15 


8.96 143 


8.96 325 


I^^ 1.03 675 


9 99 817 


45 


7 
8 
9 


lOO.I 


99-4 


98.7 


98.0 


16 


8.96 280 


137 
137 
136 


8.96 464 


'^^t 103536 

' 1.03 398 


9.99 816 


44 


114-4 

128.7 


113. 6 
127.8 


1 1 2.8 
126.9 


112.0 
126.0 


17 


8.96 417 


8.96 602 


9 99 815 


43 












18 


8.96 553 


8.96 739 


'■57 1.03 261 


9 99 814 


42 




139 


138 


137 


13C 


19 
20 


8 96 689 
8.96 825 


I3<> 
136 

135 


8.96 877 


138 
136 

137 


1.03 123 


9 99 813 


41 
40 


I 
2 
3 


139 

27.8 
41.7 


13-8 
27.6 

41.4 


13-7 
27.4 
41. 1 


13-6 

27.2 
40.8 


8.97 013 


1.02 987 


9.99 812 


21 


8.96 960 


8.97 150 


1.02 850 


9.99 810 


39 


4 


55-6 


S5-2 


54-8 


54.4 


22 


8.97 095 


135 


8.97 285 


'•55 1.02 715 


9 99 809 


38 


S 
6 
7 


69-5 
83-4 
97-3 


69.0 
82.8 
96.6 


68.S 
82.2 
9S-9 


68.0 
81.6 
95.2 


23 


8.97 229 


134 
134 


8.97 421 


'-5° 1.02 579 


9.99 808 


37 


24 


8.97 363 




8.97 556 




1.02 444 


9 99 807 


36 


8 


III. 2 


110.4 


109.6 


108.8 


25 


8.97 496 


133 


8.97 691 


13s 


1.02 300 


9.99 806 


35 


9 


125. 1 


124.2 


123-3 


122.4 


26 


8.97 629 


I ,i3 


8.97 825 


'•54 1.02 175 


9 99 804 


34 
















^S3 




134 










135 


134 


133 


132 


27 


8 97 762 




8 97 959 




1.02 041 


9 99 803 


33 












28 


8.97 894 


• 32 


8.98 092 


^33 


i.oi 908 


9 99 802 


32 


I 


I3-S 


13-4 
26.8 
40.2 
S3.6 
67.0 
80.4 


13-3 
26.6 
39-9 

S3-2 
66.S 
79-8 


13-2 

26.4 
39-6 
S2.8 
66.0 
79-2 


29 
30 

31 


8.98 026 


132 
131 

131 


8.98 225 
8.98 358 
8.98 490 


133 
133 

132 


1. 01 775 


9.99 801 


31 
30 

29 


2 
3 
4 
5 
6 


27.0 
40. 5 
S4-0 
67-S 
81.0 


8.98 157 
8 98 288 


I.OI 642 


9.99 800 


I.OI 510 


9 99 798 


32 


8 98 419 


>3I 


8.98 622 


132 


I.OI 378 


9 99 797 


28 


7 
8 
9 


94-S 
108.0 
121. 5 


93-8 


93-1 

106.4 
119.7 


92.4 
105.6 
1 1 8.8 


33 


8 98 549 


130 
I JO 


8.98 753 


131 
131 


I.OI 247 


9 99 796 


27 


107.2 
120.6 


34 


8.98 679 




8.98 884 


I.OI 116 


9 99 795 


26 












35 


8.98 808 


I 20 


8.99 015 


131 


1. 00 985 


9 99 793 


25 




131 


130 


129 


128 


36 


8.98 937 


I 20 
120 


8 99 145 


130 
130 


1. 00 855 


9 99 792 


24 


I 


I3-I 


130 


12.9 


12.8 


37 


8 99 066 




8.99 275 


1. 00 725 


9 99 791 


23 


2 


26.2 


26.0 


25-8 


25.6 


38 


8.99 194 


128 
I2S 
I2S 

I 27 


8.99 405 


130 


1. 00 595 


9 99 790 


22 


3 


39-3 


39-0 


38.7 
51.6 
64-5 
77-4 
90.3 


38.4 


39 
40 


8.99 322 
8.99 450 


8.99 534 
8.99 662 


I2Q 
128 

129 

128 


1. 00 466 


9 99 788 


21 
20 


4 
S 
6 
7 


52.4 
6S-5 
78.6 
91.7 


S2.0 
65.0 
78.0 
91.0 


SI-2 
64.0 
76.8 
89.6 


1.00 338 


9 99 787 


41 


8.99 577 




8.99 791 


1. 00 209 


9 99 786 


19 


8 


104.8 


104.0 


103.2 


102.4 


42 


8.99 704 


127 
120 
126 


8.99 919 


1. 00 081 


9 99 785 


18 


9 


117.9 


1 1 7.0 


116.1 


115. 2 


43 


8 99 830 


9.00 046 


127 
I 28 


0.99 954 


9 99 783 


17 




127 


126 


125 


124 


44 


8 99 956 


126 
I 25 


9.00 174 




0.99 826 


9 99 782 


16 












45 
46 


9.00 082 
9.00 207 


9.00 301 
9.00 427 


127 
126 
1 26 


0.99 699 
0.99 573 


9 99 781 
9 99 780 


15 

14 


I 
2 
3 


12.7 
25-4 
38.1 


12.6 
25.2 
37-8 


12.S 

2S-0 

37-S 


12.4 
24.8 
37-2 


47 


9 00 332 




9 00 553 


126 
126 
125 

125 


0.99 447 


9 99 778 


13 


4 


50.8 


S0.4 


SO.o 


49-6 


48 
49 

50 

51 


9.00 456 
9.00 581 

9.00 704 

9.00 828 


124 
125 
123 

124 


9.00 679 
9.00 805 


0.99 321 
0.99 195 


9 99 777 
9 99 776 


12 
11 

10 

9 


5 
6 
7 
8 
9 


(>3-5 

76.2 

88.9 

101.6 

1143 


63.0 
75-6 
88.2 
100.8 
113-4 


62..i; 
7SO 
87.S 

lOO.O 

112. S 


62.0 
74-4 
86.8 
99-2 
iii.O 


9.00 930 


0.99 070 


9 99 775 


9.01 05s 


0.98 945 


9 99 773 


52 


9 00 951 


I 2,5 


9.01 179 


'^•^ 0.98821 


9 99 772 


8 




123 


122 


121 


120 


53 


9.01 074 


123 
122 


9 01 303 


J^;J 0.98697 

,,, 0.98573 
''] 0.98450 


9 99 77r 


7 


I 


12-3 


12.2 


12. 1 


12.0 


54 
55 


9.01 196 
9 01 318 


I 22 


9.01 427 
9 01 550 


9 99 769 
9 99 768 


6 
5 


2 
3 

4 
5 


24.6 
36-9 

49-2 
61.S 


24.4 
36.6 
48.8 
61.0 


24.2 
36.3 
48.4 
60.S 


24.0 
36.0 
48.0 
60.0 


56 


9.01 440 


1 2 I 


9 01 673 


1-^0.98327 

1 0.98 204 


9 99 767 


4 


57 


9.01 561 




9.01 796 


9 99 765 


3 


6 


73.8 
86.1 
98.4 

1 10.7 


73-2 

85.4 

97-6 

109.8 


72.6 
847 
96.8 
108.9 


72.0 
84.0 
96.0 
108.0 


58 
59 

60 


9.01 682 
9.01 803 

9 01 923 


I 2 I 
121 
I 20 


9.01 918 

9.02 040 

9.02 162 


122, 
122 

122 


0.98 082 
0.97 960 


9 99 764 
9 99 763 


2 
1 




7 
8 
9 


0.97 838 


9 99 761 




L Cos 


d 


L Cot 


c d L Tan 


L Sin 


1 


P P 1 



84' 



(2U) 



f 


1 


L Sin j d 


L Tan 


c d L Cot 


L Cos 




P P 1 


9.01 923 1^^^ 

9.02 043 


9.02 162 


121 


0.97 838 


9 99 761 


60 

59 










9.02 283 


0.97 717 


9 99 760 


2 


9.02 163 ''° 


9.02 404 


;^J; 0.97 596 


9 99 759 


58 










3 


9.02283 ];° 


902 52s 


;,' 0.97475 


9 99 757 


57 










4 


119 
9.02402 
9.02520 ^'^ 


9.02 645 


1 20 

,, ' 0.97 355 


9 99 756 


56 


121 


120 


119 


118 


5 


9.02 766 


y 0.97 234 


9 99 755 


55 


I 


12.1 


12.0 


ii.g 


11.8 


6 


9 02 639 


IK) 

n8 


9.02 885 


12^: -97 lis 


9 99 753 


54 


2 
3 


24.2 
36.3 


24.0 
36.0 


23.8 
35-7 


23.6 

35.4 


7 


9.02 757 




9 03 00s 


1 0.96 995 


9 99 752 


53 


4 


48.4 


48.0 


47.6 


47.2 


8 


9.02 874 


117 
118 
117 

117 

116 
116 
116 


9 03 124 


^0.96876 


9 99 751 


52 


5 
6 
7 
8 
g 


60. s 


60.0 


595 


59.0 


9 
10 


9.02 992 


9 03 242 


I iS 

119 
118 


0.96 758 


9 99 749 


51 
50 


72.6 
84.7 
96.8 

TnSn 


72.0 

84.0 

96.0 

108.0 


71.4 

83.3 

95-2 

107.1 


70.8 
82.6 
94.4 


9.03 109 


9 03 361 


0.96 639 


9 99 748 


11 


9.03 226 


9 03 479 


T T Q 


0.96 521 


9 99 747 


49 








12 


9 03 342 


9 03 597 


, 0.96403 


9 99 745 


48 










13 


9 03 458 


903 714 


I 17 
118 


0.96 286 


9 99 744 


47 










14 


903 574 


116 


9.03 832 


116 


0.96 168 


9 99 742 


46 










15 


9 03 690 


9.03 948 


0.96 052 


9 99 741 


45 


117 


116 


115 


114 


16 


9 03 805 


1 15 
115 


9.04 065 


116 1-95 935 


9 99 740 


44 


I 


II. 7 


H.6 


II. 5 


II. 4 


17 


9 03 920 




9.04 181 


116 
116 

T 15 


0.95 819 


9 99 738 


43 


2 


23-4 


23.2 


23.0 


22.8 


18 


9.04 034 


114 


9.04 297 


0.95 703 


9 99 737 


42 


3 


3S-I 

46.8 
S8.S 


34.8 


34.5 


34.2 


19 


9.04 149 


1 15 


9.04 413 


0.95 587 


9 99 736 


41 


4 
5 


46.4 
58.0 


46.0 
57.5 


45-6 
57.0 


20 


9.04 262 

' ^ IT. 


9 04 528 


„ 0.95472 


9 99 734 


40 


6 

7 


70.2 
81.9 
93-6 


6g.6 
81.2 


69.0 
80.S 
92.0 


68.4 
79-8 
91.2 


21 


9.04 376 




9.04 643 


* * 


0.95 357 


9 99 733 


39 


8 


92.8 


22 


9.04 490 


114 


9.04 758 


IIS 


0.95 242 


9 99 731 


38 


Q 


ioS-3 


104.4 


103. S 


102.6 


23 


9.04 603 


1 13 
112 


9.04 873 


I IS 

114 


0.95 127 


9 99 730 


37 










24 


904 715 




9.04 987 


0.95 013 


9 99 728 


36 










25 


9.04 828 


1 13 


9.05 lOI 


114 


0.94 899 


9 99 727 


35 










26 


9.04 940 


112 


9 OS 214 


113 


0.94 786 


9 99 726 


34 










27 


9 05 052 


112 


9 05 328 


114 


0.94 672 


9 99 724 


33 


113 


113 


111 


uo 


28 


9 05 164 


112 


9.05 441 


113 


0.94 559 


9 99 723 


32 


I 


11.3 
22.6 
33-9 

45.2 
56.5 
67.8 


II. 2 


II 


I 


II.O 


29 
30 


9 05 275 


111 
III 

III 


9 05 553 


112 

113 

112 


0.94 447 


9 99 721 


31 
30 


2 
3 
4 
5 
6 


22.4 
33.6 
44.8 
56.0 
67.2 


22 
33 

44 
55 
66 


2 

3 
4 
5 
6 


22.0 
33.0 
44.0 
55.0 
66.0 


9.05 386 


9.05 666 


0.94 334 


9 99 720 


31 


9 05 497 


no 


9.05 778 




0.94 222 


9 99 718 


29 


32 


9.05 607 


9.05 890 


112 


0.94 no 


9 99 717 


28 


7 


79.1 


78.4 


77 


7 


77.0 


33 


9.05 717 


1 10 
no 


9.06 002 


112 
III 


0.93 998 


9 99 716 


27 


8 
9 


90.4 
101.7 


89.6 
100.8 


88 
99 


8 
9 


88.0 
99.0 


34 


9 05 827 




9.06 113 




0.93 887 


9 99 714 


26 










35 


9 05 937 


109 
109 


9.06 224 


III 


0.93 776 


9 99 713 


25 










36 


9.06 046 


9 06 335 


III 
I 10 


0.93 665 


9 99 711 


24 










37 


9 06 15s 




9.06 445 




0.93 555 


9 99 710 


23 










38 


9.06 264 


1 09 
108 


9.06 556 


III 


0.93 444 


9 99 708 


22 


109 


108 


107 


106 


39 
40 


9.06 372 


109 

108 


9.06 666 


109 
I 10 


0.93 334 


9 99 707 


21 
20 


I 

2 

3 

4 


10.9 
21.8 
32.7 
43-6 


10.8 

21.6 

32.4 
43.2 


10.7 
21.4 
32.1 
42.8 


10.6 
21.2 
31.8 
42.4 


9.06 481 


9.06 775 


0.93 225 


9 99 705 


41 


9.06 589 




9.06 885 




0.93 115 


9 99 704 


19 


42 


9.06 696 ;^', 


9.06 994 


109 


0.93 006 


9.99 702 


18 


5 


54-5 


54.0 


535 


53-0 


43 


9.06 804 


107 


9 07 103 


109 
108 


0.92 897 


9 99 701 


17 


6 

7 


65.4 
76.3 


64.8 

75.6 


64.2 
74.9 


63.6 

74.2 


44 


9.06 911 


107 


9.07 211 




0.92 789 


9 99 699 


16 


8 


87.2 


86.4 


85.6 


84.8 


45 


9.07 018 


9.07 320 


I 09 

loS 
108 


0.92 680 


9 99 698 


15 


9 


98.1 


97.2 


96.3 


95.4 


46 


9.07 124 


107 


9.07 428 


0.92 572 


9 99 696 


14 










47 


9.07 231 




9 07 536 


107 
108 
107 


0.92 464 


9 99 695 


13 










48 


9 07 337 


105 
106 


9.07 643 


0.92 357 


9 99 693 


12 










49 


9.07 442 


9.07 751 


0.92 249 


9 99 692 


11 










50 

51 


9.07 548 
9 07 653 


105 
105 
los 


9 07 858 


106 


0.92 142 


9 99 690 


10 

9 


I 
2 


xua 

lo.S 
21.0 


104 

10.4 
20.8 


103 

10.3 
20.6 




9.07 964 


0.92 036 


9 99 689 


52 


9.07 758 


9.08 071 


107 
106 
106 


0.91 929 


9 99 687 


8 


3 


31-5 


31.2 


30.9 




53 


9.07 863 


9.08 177 


0.91 823 


9.99 686 


7 


4 
5 


42.0 

52.5 


41.6 

S2.0 


41.2 
Si-S 




54 


9.07 968 


104 


9.08 283 


106 
106 
los 


0.91 717 


9 99 684 


6 


6 


63.0 


62.4 


61.8 


• 


55 


9.08 072 


9.08 389 


0.91 611 


9.99 683 


5 


7 


73-5 


72.8 


72.1 




56 


9.08 176 


104 
104 


9.08 495 


0.91 505 


9.99 681 


4 


8 
9 


84.0 
94-5 


83.2 

93.6 


82.4 
92.7 




57 


9 08 280 




9.08 600 




0.91 400 


9.99 680 


3 










58 


9 08 383 


103 


9 08 705 


I OS 


0.91 29s 


9.99 678 


2 










59 
60 


9.08 486 


103 
103 


9.08 810 


105 
104 


0.91 190 


9 99 677 


1 











9.08 589 


9.08 914 


0.91 086 


9 99 675 




L Cos 


d 


L Cot 


cd 


L Tan 


L Sin 


1 


P P 1 



(30) 



83 



1 

2 
3 

4 
5 
6 

7 
8 
9 

10 

11 
12 
13 

14 
15 
16 

17 
18 
19 

20 

21 
22 
23 

24 
25 
26 

27 
28 
29 

30 

31 
32 
33 

34 
35 
36 

37 
38 
39 

40 

41 
42 

43 

44 
45 
46 

47 
48 
49 

SO 

51 
52 
53 

54 
55 
56 

57 
58 
59 

60 



L Sin 

9.08 589 

9.08 692 
9.08 795 

9.08 897 

9 08 999 

9.09 lOI 
9.09 202 

9.09 304 
9.09 405 
9.09 506 

9.09 606 



9.09 707 
9.09 807 

9.09 907 

9.10 006 
9.10 106 
9.10 205 

9 10 304 
9.10 402 
9 10 501 



10 599 

10 697 
10 795 
10 893 

10 990 

11 087 
II 184 

II 281 
II 377 
II 474 



9. II 570 

9 
9 

9 



.11 666 
II 761 
II 857 

11 952 

12 047 
12 142 

12 236 
12 331 
12 42s 



9 12 519 

9.12 612 
9.12 706 
9.12 799 

9.12 892 
9 12 985 

9.13 078 



9 13 447 



13 539 
13 630 
13 722 

13 813 
13 904 

13 994 

14 085 
14 175 
14 266 



9 
9 
9 

9 
9 

9^ 

9 14 356 

L Cos 



103 
10,5 



lOI 

101 
100 

lOI 

100 
100 
99 
100 
99 
99 



L Tan 
9.08 914 



.09 019 
09 123 
09 227 

09 330 
09 434 
09 537 
09 640 
09 742 
09 845 



9.09 947 



o 049 
o 150 
o 252 

353 
454 
555 
656 
o 756 
0856 



0956 



I 056 
I 155 
I 254 

I 353 
I 452 
I 551 
I 649 
I 747 
I 845 



I 943 



2 040 
2 138 
2 23s 

2 332 
2 428 
2 525 
2 621 
2 717 
2813 



2 909 



3 004 
3 099 
3 194 
3 289 
3384 
3478 

3 573 
3 667 
3 761 

3 854 



3 948 

4 041 
4 134 
4 227 
4 320 
4412 

4 504 
4 597 
4 688 



4 780 



L Cot 



cd 



105 

104 
104 
103 

104 



lOI 
lOI 
lOI 

100 
100 
100 



cd 



L Cot 

0.91 086 

0.90 981 
0.90 877 
0.90 773 

0.90 670 
0.90 566 
0.90 463 

0.90 360 
0.90 258 
0.90 155 



0.90 053 



0.89 951 
0.89 850 
0.89 748 

0.89 647 
0.89 546 
0.89 445 

0.89 344 
0.89 244 
0.89 144 



0.89 044 



0.88 944 
0.88 845 
0.88 746 

0.88 647 
0.88 548 
0.88 449 

0.88 351 
0.88 253 
0.88 155 



99 
99 
99 

99 
99 
98 

98 
98 
98 

97 

98 
97 
97 
96 
97 
go 

96 
96 
96 

95 

95 
95 

0.86 711 
^^ 0.86 616 
f^j ! 0.86 522 

0.86 427 
o 86 333 
0.86 239 



0.88 057 

0.87 960 
0.87 862 
0.87 765 

0.87 668 
0.87 572 
0.87 475 

0.87 379 
0.87 283 
0.87 187 

0.87 091 



0.86 996 
0.86 901 
0.86 806 



0.86 146 



0.86 052 
„, 0.85 959 
9-5 0.85 866 

0.85 773 
0.85 680 
0.85 588 

0.85 496 
0.85 403 
085 312 

0.85 220 



L Tan 



L Cos 

9 99 675 

9 99 674 
9 99 672 
9 99 670 
9 99 669 
9 99 667 
9.99 666 

9.99 664 
9 99 663 
9.99 661 

9 99 659 



9 99 658 
9 99 656 
9 99 655 

9 99 653 
9 99 651 
9 99 650 

9 99 648 
9 99 647 
9 99 645 



9 99 643 



9 99 642 
9 99 640 
9 99 638 

9 99 637 
9 99 635 
9 99 633 
9 99 632 
9 99 630 
9 99 629 



9 99 627 



9 99 625 
9 99 624 
9.99 622 

9.99 620 
9.99 618 
9 99 617 

9 99 615 
9 99 613 
9.99 612 



9.99 610 

9.99 608 
9 99 607 
9 99 605 

9 99 603 
9.99 601 
9.99 600 

9 99 598 
9 99 596 
^99 595^ 

9 99 593 



9 99 591 
9 99 589 
9 99 588 

9 99 586 
9 99 584 
9 99 582 

9 99 581 
9 99 579 
9 99 577 



9 99 575 



L Sin 



60 

59 
58 
57 

56 
55 
54 

53 
52 
51 

50 

49 
48 
47 

46 
45 

44 

43 
42 
41 

40 

39 
38 
37 

36 
35 
34 

33 
32 
31 

30 

29 

28 
27 

26 
25 
24 

23 
22 
21 

20 

19 
18 
17 

16 
15 
14 

13 
12 
11 

10 

9 

8 
7 

6 
5 
4 

3 
2 
1 



P P 



lOo IM 103 



I 


lO-S 


10.4 


10.3 


2 


21.0 


20.8 


20.6 


3 


31s 


31.2 


30.9 


4 


42.0 


41.6 


41.2 


.■; 


525 


52.0 


SIS 


6 


63.0 


62.4 


61.8 


7 


73-5 


72.8 


72.1 


8 


84.0 


83.2 


82.4 


9 


945 


93-6 


92.7 



10% 101 



98 

9.8 
19.6 
29.4 
39-2 
49.0 
S8.8 
68.6 
78.4 



95 

9S 
19.0 
28.5 
38.0 
47-S 
S70 
66.5 
76.0 
85-5 



92 

9.2 
18.4 
27.6 
36.8 
46.0 
SS-2 
64.4 
73.6 
82.8 



07 

9-7 
19.4 
29.1 
38.8 
48.5 
S8.2 
67.9 
77.6 
87.3 



9.4 
18.8 
28.2 
37-6 
470 
56.4 
65.8 
7S-2 
84.6 



91 

9.1 
18.2 
27-3 
36.4 
4S-S 
54-6 
63.7 
72.8 
81.9 



P P 



99 



I 


10.2 


10. 1 


9.9 


2 


20.4 


20.2 


19.8 


3 


30.6 


30.3 


29.7 


4 


40.8 


40.4 


39-6 


5 


510 


SO.S 


495 


6 


61.2 


60.6 


59-4 


7 


71.4 


70.7 


693 


8 


81.6 


80.8 


79-2 


9 


91.8 


90.9 


89.1 



96 

9.6 
19.2 
28.8 
38.4 
48.0 
57.6 
67.2 
76.8 
86.4 



9-3 
18.6 
27.9 
37-2 
46.S 
SS.8 
65.1 
74-4 
83.7 



90 

9.0 
18.0 
27.0 
36.0 
45° 
S40 
63.0 
72.0 
81.0 



82 



(31) 



8' 



f 


L Sin 


d 


L Tan 


cd 


L Cot 


L Cos 




P P 


o 

1 

2 

3 

4 
5 
6 


9 14 356 


89 

90 
Sg 
go 

89 

88 
Sg 

89 
88 
88 

88 

88 
87 
88 


9.14 780 

9 14 872 
9.14 963 
915 054 

9 IS 145 
9 15 236 
9 15 327 


92 

91 
91 
91 

91 
91 
90 

91 
90 
go 

89 
90 
89 
90 

89 
89 
88 


0.85 220 


9 99 575 


60 

59 

58 
57 

56 
55 

54 




9 14 445 
9 14 535 
9.14 624 

9.14 714 
9.14 803 
9.14891 


0.85 128 
0.85 037 
0.84 946 

0.84 855 
0.84 764 
0.84 673 


9 99 574 
9 99 572 
9 99 570 
9 99 568 
9 99 566 
9 99 565 


I 
2 
3 


93 91 90 

9.2 9.1 Q.O 

18.4 18.2 i8.o 

27.6 27.3 27.0 


7 
8 
9 

10 

11 
12 
13 


9.14 980 

9.15 069 
9 15 157 


9 15 417 
915 508 
9 15 598 


0.84 583 
0.84 492 
0.84 402 


9 99 563 
9 99 561 
9 99 559 


53 
52 
51 

50 

49 
48 
47 


4 
S 
6 
7 
8 
9 


36.8 36.4 36.0 
46.0 45-5 450 
55. 2 54.6 54.0 
64.4 63.7 63.0 
73-6 728 72.0 
82.8 81.0 81.0 


915 245 


9.15 688 


0.84 312 


9 99 557 


9 15 333 
9. IS 421 
915 508 


915 777 
9.15 867 
9 15 956 


0.84 223 
0.84 133 
0.84 044 


9 99 556 
9 99 554 
9 99 552 




14 
15 
16 


9 15 596 
9 15 683 
9.15 770 


87 
87 
87 

87 
86 
86 

87 
86 
85 
86 


9.16 046 
9 16 135 
9.16 224 


0.83 954 
0.83 865 
0.83 776 


9 99 550 
9 99 548 
9 99 546 


46 
45 
44 


I 


89 88 

8.9 8.8 


17 
18 
19 

20 

21 
22 
23 


9 15 857 
9 15 944 
9.16 030 


9.16 312 
9.16 401 
9.16 489 


89 

88 
88 

88 

88 
88 
87 
88 
87 
87 

87 
86' 
87 
86 

86 
86 
86 


0.83 688 
0.83 599 
0.83 511 


9 99 545 
9 99 543 
9 99 541 


43 
42 
41 

40 

39 
38 
37 


2 
3 
4- 
5 
6 
7 
8 
9 


17.8 17.6 
26.7 26.4 
35-6 35-2 
44.5 44.0 
53-4 52.8 
62.3 61.6 
71.2 70.4 
80.1 79.2 


9.16 116 


9.16 577 


0.83 423 

0.83 335 
0.83 247 
0.83 159 


9 99 539 


9.16 203 
9.16 289 
9 16374 


9.16 665 
9 16 753 
9.16 841 


9 99 537 
9 99 535 
9 99 533 


24 
25 
26 

27 
28 
29 

30 

31 
32 
33 


9.16 460 
9 16 545 
9 16 631 

9.16 716 
9.16 801 
9.16 886 


85 
86 

8S 

85 
85 
84 

8s 

84 
84 
81 


9.16 928 

9.17 016 
9.17 103 

9.17 190 
9.17 277 
9 17 363 


0.83 072 
0.82 984 
0.82 897 

0.82 810 
0.82 723 
0.82 637 


9 99 532 
9 99 530 
9 99 528 
9 99 526 
9 99 524 
9 99 522 


36 
35 
34 

33 
32 
31 

30 

29 
28 
27 


I 
2 
3 
4 

s 

6 
7 
8 
9 


87 86 85 

8.7 8.6 8.5 
17-4 17-2 17.0 

26.1 25.8 25.5 
34.8 34.4 34.0 

43.5 43.0 42.5 

52.2 51.6 51.0 
60. Q 60.2 59.5 

69.6 68.8 68.0 

78.3 77-4 76.5 


9.16 970 


9 17450 


0.82 550 


9 99 520 


917 055 
9 17 139 
9.17 223 


9 17 536 
9.17 622 
9.17 708 


0.82 464 
0.82 378 
0.82 292 


9 99 518 
9 99 517 
9 99 515 


34 
35 
36 


9.17 307 
9 17 391 
9 17 474 


84 
83 
84 

83 
83 
83 

83 

83 
82 
82 


9.17 794 
9.17 880 
9.17 965 


86 
8S 
86 


0.82 206 
0.82 120 
0.82 035 


9 99 513 
9 99 511 
9 99 509 


26 
25 

24 




37 
38 
39 

40 

41 
42 
43 


917 558 
9.17 641 
9.17 724 


918 051 
9.18 136 
9.18 221 


85 
85 
8s 

85 

84 
8S 
84 

84 
84 
84 

83 
84 
83 

83 

83 
83 
83 


0.81 949 
0.81 864 
0.81 779 


9 99 507 
9 99 505 
9 99 503 


23 
22 
21 

20 

19 
18 
17 


I 
2 
3 
4 
S 
6 
7 


84 83 

8.4 8.3 
16.8 16.6 
252 24.9 
33-6 33-2 
42.0 41.5 
50.4 49.8 
58.8 58.1 


9.17 807 


9.18 306 


0.81 694 


9 99 501 


9.17 890 
9 17 973 
9 18 055 


9.18 391 
9 18 475 
9.18 560 


0.81 609 
0.81 525 
0.81 440 


9 99 499 
9 99 497 
9 99 495 


44 
45 
46 


9.18 137 
9.18 220 
9.18 302 


83 
82 
81 


9.18 644 
9.18 728 
9.18 812 


0.81 356 
0.81 272 
0.81 188 


9 99 494 
9 99 492 
9 99 490 


16 
15 
14 


8 
9 


67.2 66.4 
75-6 74-7 


47 
48 
49 

50 

51 
52 
53 


9 18 383 
9 18 465 
9 18 547 


82 
82 
81 

81 

81 
81 
81 


9.18 896 

9.18 979 

9.19 063 


0.81 104 
0.81 021 
0.80 937 


9 99 488 
9 99 486 
9 99 484 


13 
12 
11 

10 

9 
8 

7 


S<> B1 AA 


9.18 628 


9.19 146 


0.80 854 


9 99 482 


I 
2 

3 
4 
S 


8.2 8.1 8.0 
16.4 16.2 16.0 
24.6 24.3 24.0 
32.8 32.4 32.0 
41.0 40.5 40.0 


9.18 709 
9.18 790 
9.18 871 


9.19 229 
9.19 312 
9.19 395 


0.80 771 
0.80 688 
0.80 605 


9 99 480 
9 99 478 
9 99 476 


54 
55 
56 


9 18952 
9 19 033 
9 19 "3 


81 
80 
80 


9.19 478 
9.19 561 
9.19 643 


83 
82 

8? 


0.80 522 
0.80 439 
0.80 357 


9 99 474 
9 99 472 
9 99 470 


6 
5 
4 


6 
7 
8 
9 


49.2 48.6 48.0 
57-4 S6-7 S6.o 
65.6 64.8 64.0 
73-8 72-9 72.0 


57 
58 
59 

60 


9 19 193 
9 19 273 
9 19 353 


80 
80 
80 


9 19 725 
9.19 807 
9.19 889 


82 
82 
82 


0.80 275 
0.80 193 
0.80 III 


9 99 468 
9 99 466 
9 99 464 


3 
2 
1 





9 19 433 


9.19 971 


0.80 029 


9 99 462 




L Cos 


d 


L Cot c d 


L Tan 


L Sin 




P P 



(32) 



81 



L Sin 



9 19 433 



1 
2 
3 

4 
5 
6 

7 
8 
9 

fO 

11 
12 
13 

14 
15 
16 

17 
18 
19 

20 

21 
22 
23 

24 
25 
26 

27 
28 
29 

30 

31 
32 
33 

34 
35 
36 

37 
38 
39 

40 

41 
42 
43 

44 
45 
46 

47 
48 
49 

SO 

51 
52 
53 

54 
55 
66 

57 
58 
59 

60 



^•^:^ 80 



19 513 
19 592 
19 672 

19 751 
19 830 
19909 

19 988 

20 067 
20 145 



20 223 



20 302 
20 380 
20 458 

20 535 
20 613 
20 691 

20 768 
20 845 
20 922 

20 999 



21 076 
21 153 
21 229 

21 306 
21 382 
21 458 

21 534 
21 610 
21 685 



21 761 



21 836 
21 912 

21 987 

22 062 
22 137 
22 211 

22 286 
22 361 
22 435 



22 509 



22 583 
22 657 
22 731 
22 805 
22 878 

22 952 

23 025 
23 098 
23 171 



23 244 

23 317 
23 390 
23 462 

23 535 
23 607 
23 679 

23 752 
23 823 
23 895 



9.23 967 



L Cos 



L Tan cd L Cot 



9.19 971 



20 053 
20 134 
20 216 

20 297 
20 378 
20 459 
20 540 
20 621 
.20 701 



9.20 782 




9.21 578 



21 657 
21 736 
.21 814 

.21 893 
21 971 
.22 049 

.22 127 
.22 205 
.22 283 



9.22 361 



22 438 
22 516 
22 593 
22 670 
22 747 
22 824 

22 901 

22 977 

23 054 




9 23 887 



23 962 

24 037 
24 112 

24 186 
24 261 
24 335 
24 410 
24 484 
24 558 
.24 632 



82 

81 
82 
81 

81 
81 
8i 

81 
80 
81 

80 

80 
80 
80 

80 
79 
80 

79 
79 
79 

79 

79 

78 
79 

78 
78 
78 

78 
78 
78 

77 

78 
77 
77 

77 
77 
77 
76 
77 
76 

76 

77 
76 
76 

75 
76 

75 
76 
75 
75 

75 

75 
75 
74 

75 
74 

75 

74 
74 
74 



0.80 029 

0.79 947 
0.79 866 
0.79 784 

0.79 703 
0.79 622 
0.79 541 
0.79 460 

0.79 379 
0.79 299 



0.79 218 



0.79 138 
0.79 058 
0.78 978 

0.78 898 
0.78 818 
0.78 739 
0.78 659 
0.78 580 
0.78 501 



0.78 422 



0.78 343 
0.78 264 
0.78 186 

0.78 107 
0.78 029 
0.77 951 

0.77 873 
0.77 795 
0.77 717 



0.77 639 



0.77 562 
0.77 484 
0.77 407 

0.77 330 
0.77 253 
0.77 176 

0.77 099 
0.77 023 
0.76 946 

0.76 870 

0.76 794 
0.76 717 
0.76 641 

0.76 565 
0.76 490 
0.76 414 

0.76 339 
0.76 263 
0.76 188 



0.76 113 

0.76 038 
0.75 963 
0.75 888 

0.75 814 
0.75 739 
0.75 665 

0.75 590 
75 516 
0.75 442 



0.75 368 



L Cot cd L Tan L Sin t 



L Cos 



99 462^ 

99 460 
99 458 
99 456 

99 454 
99 452 
99 450 

99 448 
99 446 
99 444 



99 442 



99 440 
99 438 
99 436 

99 434 
99 432 
99 429 

99 427 
99 425 
99 423 



99 421 



99 419 
99 417 
99 415 

99 413 
99 4" 
99 409 

99 407 
99 404 
99 402 



99 400 



99 398 
99 396 
99 394 

99 392 
99 390 
99 388 

99 385 
99 383 
99 381 



99 379 



99 377 
99 375 
99 372 

99 370 
99 368 
99 366 

99 364 
99 362 
99 359 

99 357 

99 355 
99 353 
99 351 

99 348 
99 346 
99 344 

99 342 
99 340 
99 337 



99 335 



60 

59 
58 
57 

56 
55 
54 

53 
52 
51 

50 

49 
48 
47 

46 
45 
44 

43 
42 
41 

40 

39 
38 
37 

36 
35 
34 

33 
32 
31 

30 

29 
28 
27 

26 
25 
24 

23 
22 
21 

20 

19 
18 
17 

16 
15 
14 

13 
12 
11 

10 

9 

8 
7 

6 
5 
4 

3 
2 
1 

O 



80 



P P 



S9 

8.2 
16.4 
24.6 
32.8 
41.0 
4g.2 
57-4 
65.6 
73.8 



79 



76 

7-6 

IS-2 
22.8 
30.4 
38.0 

45-6 
53-2 
60.8 
68.4 



73 



81 

8.1 
16.2 
24-3 
32-4 
40-5 
48.6 
56.7 
648 
72.Q 



78 



75 
150 

22.5 
30.0 
37-5 
450 
52.5 
60.0 
67.5 



73 



80 

8.0 
16.0 
24.0 
32.0 
40.0 
48.0 
56.0 
64.0 
72.0 



I 


7-9 


7.8 


7-7 


2 


IS.8 


is.o 


lS-4 


3 


237 


234 


231 


4 


31.0 


312 


30.8 


5 


395 


390 


380 


6 


47.4 


46.8 


46.2 


7 


SS-3 


54-6 


53-9 


8 


63.2 


62.4 


61.6 


9 


71. 1 


70.2 


693 



75 74 



7-4 
14.8 
22.2 
29.6 
370 
44-4 
Si-8 
59-2 
66.6 



71 



I 


7-3 


7-2 


7-1 


2 


14.6 


14.4 


14.2 


3 


21.9 


21.6 


21.3 


4 


29.2 


28.8 


28.4 


a 


.10. > 


36.0 


355 


6 


43-8 


43 2 


42.6 


7 


Sti 


SO.4 


49-7 


8 


58.4 


S7.6 


,S6.8 


9 


65.7 


64.8 


639 



I 


0-3 


0.2 


2 


0.6 


0.4 


3 


0.9 


0.6 


4 


1.2 


0.8 


.S 


IS 


I.O 


6 


1.8 


1.2 


I 


2.1 


1.4 


2.4 


1.6 


9 


2.7 


1.8 



p p 



(33) 



10 



L Sin 

O 9.23 967 

1 
2 
3 

4 
5 
6 

7 
8 
9 



9.24 039 
9.24 no 
9.24 181 

9 24 253 
924 324 
9 24 395 
9.24 466 
9 24 536 
9.24 607 



9.24 677 



10 

11 
12 
13 

14 
15 
16 

17 
18 
19 



20 925376 



9.24 748 
924 818 
9 24 888 

9.24 958 
9 25 028 
9 25 098 
9 25 168 
9 25 237 
9 25 307 



21 
22 
23 

24 
25 
26 

27 
28 
29 

30 

31 
32 
33 

34 
35 
36 

37 
38 
39 

40 

41 
42 
43 

44 
45 
46 

47 
48 
49 

50 

51 
52 
53 

54 
55 
56 

57 
58 
59 

60 



25 445 
25 514 
•25 583 

25 652 
.25 721 
■25 790 
.25 858 
25 927 
25 995 



9.26 063 

9.26 131 
9.26 199 
9.26 267 

9 26 335 
9.26 403 
9.26 470 

9 26 538 
9.26 605 
9.26 672 

9.26 739 



26 806 
.26 873 
.26 940 
.27 007 

27 073 
27 140 

27 206 
27 273 
27 339 



72 

71 
71 

72 

71 
71 
71 

70 
71 
70 

71 

70 

70 
70 

70 
70 
70 

69 
70 
69 

69 

69 
69 
69 

69 
69 
68 

69 



68 



9 27 405 



■27 471 
27 537 
27 602 

27 668 

27 734 
27 799 

27 864 
27 930 

27 995 

28 060 



j 68 

68 
67 
68 

67 
67 
67 

67 

67 
67 
67 

66 
67 
66 

67 
66 
66 

66 

66 
65 
66 

66 
65 
65 
66 
6S 
65 



L Cos 



L Tan 

9 24 632 

9.24 706 
9.24 779 
9-24 853 

9.24 926 

9.25 000 
9 25 073 

9.25 146 
9.25 219 
9.25 292 

9 25 365 



Cd 



9 25 437 
9 25 510 
9 25 582 

9 25 655 
9 25 727 
9 25 799 
9 25 871 
9 25 943 
9.26 015 



9.26 086 



9.26 158 
9.26 229 
9.26 301 

9 26 372 
9.26 443 
926 514 

926 585 
926 655 
9.26 726 

9.26 797 



9.26 867 

9.26 937 

9.27 008 

9.27 078 
9.27 148 
9.27 218 

9 27 288 
9 27 357 
9.27 427 



9.27 496 



9 27 566 
927 635 
9.27 704 

9 27 773 
9.27 842 
9.27 911 

9.27 980 

9.28 049 
9.28 117 



9.28 186 



9 28 254 
9 28 323 
928 391 

9.28 459 
9.28 527 
9 28 595 

9.28 662 
9.28 730 
9.28 798 



9 28 865 



L Cot 



74 

73 
74 
73 

74 
73 
73 

73 
73 
73 

72 

73 
72 

73 
72 
72 

72 

72 
72 
71 

72 

71 
72 
71 

71 
71 
71 
70 
71 
71 

70 

70 
71 
70 

70 
70 
70 



L Cot 

^75 368 

0.75 294 
0.75 221 
0.75 147 
0.75 074 
0.75 000 
0.74 927 

0.74 854 
0.74 781 
0.74 708 



0.74 635 



L Cos 

9 9 9 335 

9 99 333 
9 99 331 
9 99 328 

9 99 326 
9 99 324 
9 99 322 

9 99 319 
9 99 317 
9 99 315 



0.74 563 
0.74 490 
0.74 418 

0.74 345 
0.74 273 
0.74 201 

0.74 129 
0.74 057 
0.73 985 



0.73 914 



0.73 842 
0.73 771 
0.73 699 

0.73 628 
0.73 557 
0.73 486 

0.73 415 
0.73 345 
0.73 274 



9 99 313 



9 99 310 
9 99 308 
9 99 306 

9 99 304 
9 99 301 
9 99 299 

9 99 297 
9 99 294 
9 99 292 



9 99 290 



0.73 203 



9.99 288 
9 99 285 
9 99 283 
9.99 281 
9 99 278 
9 99 276 
9 99 274 
9 99 271 
9 99 269 



0.73 133 
0.73 063 
0.72 992 

0.72 922 
0.72 852 
0.72 782 

0.72 712 
0.72 643 
0.72 573 



0.72 504 



0.72 434 
0.72 365 
0.72 296 

0.72 227 
0.72 158 
0.72 089 

0.72 020 
0.71 951 
0.71 883 



9 99 267 



9 99 264 
9.99 262 
9.99 260 

9 99 257 
9 99 255 
9 99 252 

9 99 250 
9 99 248 
9 99 245 



9 99 243 



9 99 241 
9 99 238 
9 99 236 

9 99 233 
9 99 231 
9 99 229 

9.99 226 
9 99 224 
9.99 221 



0.71 814 

0.71 746 
0.71 677 
0.71 609 

0.71 541 
0.71 473 
0.71 405 

0.71 338 
0.71 270 
^71 202 

0.71 135 



c d L Tan 



(34) 



9 99 219 



9 99 217 
9 99 214 
9.99 212 

9 99 209 
9 99 207 
9 99 204 
9.99 202 
9.99 200 
9 99 197 



9 99 195 



L Sin 



60 

59 

58 
57 

56 
55 
54 

53 
52 
51 

50 

49 
48 

47 

46 
45 

44 

43 
42 
41 

40 

39 
38 
37 

36 
35 
34 

33 
32 
31 

30 

29 

28 
27 

26 
25 

24 

23 
22 
21 

20 

19 
18 
17 

16 
15 
14 

13 
12 
11 

10 

9 

8 
7 

6 
5 

4 

3 
2 
1 



79 



74 

7-4 
14.8 
22.2 
29.6 
37.0 
44.4 
SI.8 
59-2 
66.6 



71 



P P 



73 



72 



7-3 


7.2 


14.6 


14.4 


21.9 


21.6 


29.2 


28.8 


36.5 


36.0 


43-8 


43.2 


SI. I 


50.4 


.S8.4 


S7.6 


65.7 


64.8 



70 



I 


7-1 


7.0 


6.9 


2 


14.2 


14.0 


i.v8 


3 


21.3 


21.0 


20.7 


4 


28.4 


28.0 


27.6 


5 


35. 5 


35-0 


34-5 


b 


42.6 


42.0 


41.4 


7 


49.7 


49.0 


48.3 


8 


S6.8 


56.0 


55. 2 


9 


63 -9 


63.0 


62.1 



68 

6.8 
13.6 
20.4 
27.2 
34.0 
40.8 
47.6 
54-4 
61.2 



67 

6.7 
13.4 
20.1 
26.8 
33. 5 
40.2 
46.9 
53.6 
60.3 





66 


65 


I 


6.6 


6.5 


2 


13.2 


13.0 


3 


19.8 


19.S 


4 


26.4 


26.0 


5 


33.0 


32.5 


6 


39.6 


39.0 


7 


46.2 


45-5 


8 


52.8 


52.0 


9 


594 


58.S 



0.3 

0.6 
0.9 



2.4 
2.7 



0.2 
0.4 
0.6 
0.8 
l.o 
1.2 
1-4 
1.6 
1.8 



P P 



11 






L Sin 


d 


L Tan 


cd 


L Cot 


L Cos d 




P 


P 


9.28 060 


f>5 


9.28 865 


68 


0.71 135 


9 99 195 

~ — -5 


60 






1 


9.28 125 




9 28933 


67 


0.71 067 


9 99 192 


59 






2 


9.28 190 


'•5 


9 29 000 


0.71 000 


9 99 190 - 


58 






3 


9.28 254 


ti c 


9.29 067 


67 
67 

67 


0.70 933 


9 99 187 3 


57 






4 


9 28 319 


"5 


9 29 134 


0.70 866 


9 99 185 


56 


6S 


67 66 


5 


9 28 384 


<)5 


9.29 201 


0.70 799 


9.99 182 3 


55 






6 


9.28 448 


(14 


9.29 268 


67 
67 


0.70 732 


9.99 180 - 


54 


I 
2 


o.s 
13-6 


6.7 6.6 
134 132 


7 


9.28 512 




9 29 335 




0.70 665 


9 99 177 " 


53 


3 


20.4 


20.1 19.8 


8 


9-28 577 


(JS 


9.29 402 


67 


0.70 598 


9 99 175 ^ 


52 


4 


27.2 


26.8 26.4 


9 
10 


9.28 641 
9 28 705 


64 
64 

64 

64 


9.29 468 


66 
67 

66 


0.70 532 


9 99 172 3 


51 
50 


5 
6 

7 
8 


340 
40.8 
47-6 
S4-4 
61.2 


33-5 330 

40.2 39.6 
46.9 46.2 
53-6 52.8 

60.3 59.4 


9 29 535 


0.70 465 


9 99 170 


11 


9.28 769 


9.29 601 




0.70 399 


9 99 167 


49 


Q 


12 


9 28 833 


9.29 668 


67 


0.70 332 


9 99 165 2 


48 






13 


9 28 896 


6,5 


9 29 734 


66 
66 


0.70 266 


9.99 162 3 


47 






14 


9.28 960 




9.29 800 




0.70 200 


9.99 160 


46 






15 


9.29 024 


64 


9.29 866 


66 


0.70 134 


9 99 157 3 


45 






16 
17 


9.29 087 
9 29 150 


6 3 
6,5 

64 
6.5 
63 

63 

63 
6,5 
h2 


9.29 932 
9.29 998 


66 
66 

66 


0.70 068 
0.70 002 


9 99 155 ; 
9 99 152 


44 
43 


I 
2 


00 

6.5 
13.0 


64 63 

6.4 6.3 
12.8 12.6 


18 


9.29 214 


9.30 064 


0.69 936 


9 99 150 - 


42 


3 


IQS 


19.2 18.9 


19 
20 
21 


9.29 277 


9.30 130 ;^^ 


0.69 870 


9 99 147 ' 


41 
40 
39 


4 
5 
6 
7 
8 


26.0 
32.5 
390 
45-5 
52.0 


25-6 25.2 
32.0 31. s 
38.4 37-8 
44.8 44.1 
SI. 2 50.4 
S7-6 56.7 


9.29 340 


9 30 195 
9.30 261 


66 


0.69 805 


9 99 145 ^ 


9 29 403 


0.69 739 


9 99 142 ^ 


22 


9.29 466 


9.30 326 "5 
9.30 391 ll 


0.69 674 


9 99 140 ; 


38 


Q 


58.S 


23 


9 29 529 


0.69 609 


9 99 137 ^^ 


37 






24 


9.29 591 


63 
62 


930 457 .. 
9.30 522 "^ 

9-30 587 ;;■: 


0.69 543 


9 99 135 ^ 


36 






25 


9.29 654 


0.69 478 


9 99 132 ^ 


35 






26 


9.29 716 


0.69 413 


9 99 130 


34 






27 


9.29 779 


63 
62 


9 30 652 ,_ 0.69 348 

9 30 717 ;■' 69 283 


3 
9 99 127 


33 


63 


61 


28 


9.29 841 


9 99 124 ' 


32 


I 


0.2 


6.1 


29 
30 


9 29 903 


62 
63 
62 


9 30 782 


05 
64 

fie 


0.69 218 


9 99 122 ^ 


31 
30 


2 
3 

4 
5 


12.4 
18.6 
24.8 
31.0 


12.2 
18.3 
24.4 
30.5 


9 29 966 


9.30 846 


0.69 154 


9 99 "9 ! ^ 


31 


9.30 028 


62 


9.30 911 0.69 089 


999 "7 ^ 


29 


6 


37-2 


36.6 


32 


9 30 090 


9 30 975 '! 0.69 025 


9 99 "4 , 


28 


7 
8 
9 


43-4 
49.6 
55.8 


42.7 
48.8 
54-9 


33 


9 30 151 


(> I 

2 


9.31 040 "■ 0.68 960 


9 99 112 ^ 


27 


34 


9 30 213 


(12 

hi 

()2 


9.31 104 


0.68 896 


9 99 109 


26 






35 


9 30 275 


9.31 168 


''■i 0.68 832 


9.99 106 ' 


25 






36 


9 30 336 


9 31 233 


[^5 0.68 767 


9 99 104 ^ 


24 






37 


9 30 398 


()2 
Ol 


9 31 297 


0.68 703 
°+ 0.68 639 
J4 0.68575 


9 99 loi 


23 






38 


9 30 459 


9 31 361 


9 99 099 "' 


22 


60 


59 


39 


9 30 521 


9 31 425 


9.99 096 ^ 


21 


I 


6.0 


5 
1 1.8 
17-7 
23.6 
29s 


40 

41 


9 30 582 
9 30 643 


61 
61 


9.31 489 


63 °^«5"^ 

0.68448 

Jt 0.68384 

J^ 0.68321 

, , 0.68 257 


9 99 093 , 
9 99 091 , 


20 

19 


3 
4 

.S 


i8!o 
24.0 
300 


9 31 552 


42 


9.30 704 


61 
() I 


9.31 616 


9 99 088 -l 


18 


6 


36.0 


35-4 


43 

44 


9 30 765 
9.30 826 


9.31 679 
9 31 743 


9.99 086 "; 
9.99 083 


17 
16 


7 
8 
9 


42.0 
48.0 


41-3 
47.2 
531 


45 


9 30 887 


t\r\ 


9.31 806 "' 0.68 194 


9 99 080 , 


15 






46 


9 30 947 




9.31 870 


^' J 0.68 130 


9.99 078 - 


14 






47 


9 31 008 


()0 

6 1 


9 31 933 


, 0.68 067 
ll I 0.68 004 


9 99 075 " 


13 






48 


9.31 068 


9 31 996 


9 99 072 -] 


12 






49 

50 

51 


931 129 
9.31 189 
9 31 250 


60 
61 
60 


9 32 059 


0.5 1 
63 

63 


0.67 941 


9 99 070 ^ 


11 

10 

9 


3 


0.2 
0.4 
0.6 
0.8 


932 122 
9 32 185 


0.67 878 


9 99 067 , 


I 

2 

3 


0.3 
0.6 
0.9 


0.67 815 


9.99 064 , 


52 


9 31 310 


60 


9 32 248 


^ 0.67752 
li 0.67689 


9.99 062 : 


8 


4 
5 
6 


1.2 
IS 
1.8 


53 


9 31 370 


Oo 


932 3" 


9 99 059 . 


7 


1.2 


54 


9 31 430 


oo 


9 32 373 


. 0.67627 
• 0.67564 


9 99 056 ] 


6 


7 
8 




2.1 


1.4 

1.6 
1.8 


55 


9 31 490 


9 32 436 


9 99 054 
9 99 051 ;^ 


5 


2.4 

T 


56 


9 31 549 


5*' 
Oo 


9.32 498 


;:; 0.67 502 


4 


y 1 ••/ 




57 


9 31 609 




9 32 561 


,., 067439 


9 99 048 , 


3 






58 


9 31 669 


10 


9.32 623 ''; 0.67 377 


9.99 046 : 


2 






59 
60 


9 31 728 
9 31 788 


,S<) 

60 


9J2 68S ,- 
932 747 


^.67 315 


9.99 043 1 


1 







0.67 253 


9.99 040 




L Cos 


d 


L Cot cd L Tan 


L Sin d 


1 


p 


P 



78 



(35) 



12' 



t 


L Sin 


d 


L Tan 


cd 


L Cot 


L Cos 


d 




P P 1 


o 


931 788 


59 


9 32 747 


63 

62 
61 

62 

62 
62 
6t 


0.67 253 


9 99 040 




60 






1 


9 31 847 


9.32 810 


0.67 190 


9 99 038 




59 






?. 


9.31 907 




932 872 


0.67 128 


9 99 035 


.i 


58 






3 


9.31 966 


5y 


9 32 933 


0.67 067 


9 99 032 


6 


faV 






4 


9 32 025 


59 


9 32 995 


0.67 005 


9 99 030 




56 


63 6^ 


61 


5 


9 32 084 


59 


9 33 057 


0.66 943 


9 99 027 


.■> 


bb 


I 


6.3 6.2 


6.1 


6 


9 32 143 


59 
59 


9 33 119 


0.66 881 


9 99 024 



?. 


b4 


2 
3 


12.6 12.4 
18.9 18.6 


12.2 
18.3 


7 


9.32 202 




9 33 180 


62 
61 
62 


0.66 820 


9.99 022 




53 


4 


25.2 24.8 


24.4 


8 


9.32 261 


59 


9 33 242 


0.66 758 


9 99 019 





52 


S 


31.S 31-0 


30.S 


9 


9 32 319 


5^5 
59 

59 

58 
58 
59 
S8 

ss 


9 33 303 


0.66 697 


9.99 016 


3 


51 


6 


37-8 37-2 


36.6 


10 


9 32 378 


9-33 365 


6t 


0.66 635 


9 99 013 


50 


8 


S0.4 49.6 


48.8 
54-9 


11 


9 32 437 


9 33 426 


61 
61 
61 


0.66 574 


9.99 on 




49 


9 a-/ 00- 


12 


9 32 495 


9 33 487 


0.66 513 


9.99 008 


J 


48 






13 


9 32 553 


9 33 548 


0.66 452 


9 99 005 





47 






14 


9.32 612 


9 33 609 


61 
61 
6t 


0.66 391 


9.99 002 


"^ 


46 






15 


932 670 


9 33 670 


0.66 330 


9.99 000 




45 


60 


59 


16 


9-32 728 


9 33 731 


0.66 269 


9.98 997 


'^ 


44 


1 


6.0 


S-9 


17 


9 32 786 


58 
58 
S8 

58 


9 33 792 


61 
60 
61 


0.66 208 


9.98 994 




43 


2 


12.0 


11.8 


18 


9 32 844 


9-33 853 


0.66 147 


9.98 991 





42 


3 


18.0 


17-7 


19 


9 32 902 


9 33 913 


0.66 087 


9.98 989 


3 
3 


41 


4 
5 


24.0 
30.0 


23.6 
29.5 


20 


9-32 960 


9 33 974 


6n 


0.66 026 


9.98 986 


40 


6 

7 
8 


36.0 
42.0 
48.0 


35-4 
41-3 
47.2 


21 


9 33 018 


9 34 034 


61 
60 

60 


0.6s 966 


9.98 983 


39 


22 


9 33 075 


57 
58 
57 


9 34 09s 


0.65 905 


9.98 980 


J) 


38 


9 


54-0 


53-1 


23 


9 33 133 


9 34 155 


0.65 845 


9.98 978 


3 


37 






24 


9 33 190 


58 


9-34 215 


61 
60 
60 

60 
60 
6n 


0.65 785 


9 98 975 




36 






25 


9 33 248 


9 34 276 


0.65 724 


9.98 972 


3 


3b 






26 
27 


9 33 305 
9 33 362 


57 
57 
58 


9 34 336 
9 34 396 


0.65 664 
0.65 604 


9.98 969 
9.98 967 




2 


34 
33 


58 


57 


28 


9 33 420 


9 34 456 


0.65 544 


9.98 964 


3 


32 


I 


5-8 


5-7 


29 


9 33 477 


57 


9-34 516 


0.65 484 


9.98 961 


3 


31 


3 


17.4 


11.4 
17. 1 


30 


9 33 534 


9 34 576 




0.65 424 


9.98 958 




30 


4 


23.2 


22.8 




















5 
6 


34-8 




31 


9 33 591 


56 


9 34 635 


60 
60 
59 


0.65 365 


9 98 955 




29 


34-2 


32 


9 33 647 


9 34 69s 


0.65 305 


9 98 953 




28 


7 
8 
9 


40.6 
46.4 
';2.2 


39-9 
45-6 
Si-3 


33 


9 33 704 


57 


9-34 755 


0.65 245 


9.98 950 


3 


27 


34 


9 33 761 




9 34 814 


60 


0.65 186 


9.98 947 




26 






35 


9 33 818 


57 
56 
57 


9-34 874 


0.65 126 


9.98 944 


3 


25 






36 


9-33 874 


9 34 933 


59 


0.65 067 


9.98 941 


3 


24 






37 


9 33 931 


56 
56 
57 


9 34 992 




0.65 008 


9.98 938 




23 






38 


9 33 987 


9 35 051 


59 
60 
59 


0.64 949 


9.98 936 


■ 


22 


56 


55 


39 


9 34 043 


9-35 "I 


0.64 889 


9 98 933 




21 


I 


5-6 


S-5 


40 


9-34 100 


5^ 


9 35 170 


59 


0.64 830 


9.98 930 


S 


20 


2 

3 

4 


II. 2 
16.8 


II.O 

16.S 


41 


9 34 156 


56 
56 

5fi 


9 35 229 




0.64 771 


9.98 927 




19 


22.4 


22.0 


42 


9 34 212 


9-35 288 


59 


0.64 712 


9.98 924 




18 


S 


28.0 


27-S 


43 


9 34 268 


9 35 347 


S8 


0.64 653 


9.98 921 


2 


17 


7 


33-6 
39-2 


330 
38.S 


44 


9 34 324 


56 
56 
55 


9 35 405 




0.64 595 


9.98 919 




16 


8 


44.8 


44.0 


45 


9-34 380 


9 35 464 


59 


0.64 536 


9.98 916 





15 


9 


S0.4 


49-5 


46 


9 34 436 


9 35 523 


S8 


0.64 477 


9 98 913 


3 


14 






47 


9 34 491 


56 
55 


9 35 581 




0.64 419 


9.98 910 




13 






48 


9 34 547 


9 35 640 


58 
59 


0.64 360 


9.98 907 




12 






49 


9-34 602 


9 35 698 


0.64 302 


9.98 904 


S 


11 




3 

0.2 
0.4 


50 

51 


9 34 658 
9 34 713 


55 
56 

55 
55 


9-35 757 


58 

58 
58 

58 


0.64 243 


9.98 901 


3 


10 
9 


I 
2 


0.3 
0.6 


9 35 815 


0.64 185 


9.98 898 


52 


9 34 769 


9 35 873 


0.64 127 


9.98 896 


3 


8 


3 


0.9 


0.6 

0.8 

I.O 


53 


9 34 824 


9 35 931 


0.64 069 


9.98 893 


V 


s 


1-5 


54 


9 34 879 


55 
55 
55 


9 35 989 


58 
58 
S8 


0.64 on 


9.98 890 


3 

3 


6 


6 


1.8 


1.2 


55 


9 34 934 


9.36 047 


0.63 953 


9.98 887 


5 


7 
8 
9 


2.1 


1.4 

1.6 
X.8 


56 


9 34 989 


9 36 105 


0.63 895 


9.98 884 


4 


2.7 


57 


9 35 044 


55 
55 
55 


9 36 163 


58 
58 
57 


0.63 837 


9.98 881 


3 


3 






58 


9 35 099 


9.36 221 


0.63 779 


9.98 878 


2 






59 


9 35 154 


9.36 279 


0.63 721 


9 98 875 


1 






60 


9 35 209 




9 36 336 


0.63 664 


9.98 872 













L Cos 


d 


L Cot 


Cd 


L Tan 


L Sin 


d 


/ 


P P 1 



(36) 



77' 



13 



L Sin 



935 



1 
2 
3 

4 
5 
6 

7 
8 
9 

10 

11 
12 
13 

14 
15 
16 

17 
18 
19 

20 

21 
22 
23 

24 
25 
26 

27 
28 
29 

30 

31 
32 
33 

34 
35 
36 

37 
38 
39 

40 

41 
42 
43 

44 
45 
46 

47 
48 
49 

50 

51 
52 
53 

54 
55 
56 

57 
58 
59 

60 



209 

263 
3i8 

373 

427 
481 
536 

590 
644 
698 

752 

806 
860 
914 

968 
022 
075 
129 
182 
236 

289 

342 
395 
449 

502 

555 
608 

660 
713 
766 



.36 819 



871 
924 
976 

028 
081 
133 

185 
237 
289 

•37 341 



393 

445 
497 

549 
600 
652 

703 
755 
806 



37 858 



909 
960 
on 

062 
"3 
164 

215 
266 
317 
368 



54 

55 
55 
54 

54 
55 
54 

54 
54 
54 

54 

54 
54 
54 

54 
S3 
54 

5,5 
54 
53 

53 

53 
54 
53 

53 
53 
52 

53 
53 
53 

52 

Si 
52 
52 

53 
52 
52 

52 

52 

52 

52 

52 
52 
52 

51 
52 



L Cos 



L Tan 

9 36 336 

9 36 394 
9 36 452 
9 36 509 

9 36 566 
9.36 624 
9.36 681 

9 36 738 
9 36 795 
9 36 852 



9.36 909 



9.36 966 
9 37 023 
9-37 080 

9 37 137 
9 37 193 
9 37 250 

9 37 306 
9 37 363 
9 37 419 



9 37 476 



9 37 532 
9-37 588 
9 37 644 
9 37 700 
9 37 756 
9.37812 

9 37 868 
9 37 924 
9 37 980 



9 38 035 

9.38 091 
9 38 147 
9.38 202 

9 38 257 
9 38 313 
9 38 368 

9 38 423 
9 38 479 
938 534 



9 38 589 



9.38 644 
9.38 699 
9 38 754 
9.38 808 
9 38 863 
9 38 918 

9.38 972 
9 39 027 

9.39 082 



939136 



9 39 190 
9 39 245 
9 39 299 

9 39 353 
9 39 407 
9 39 461 

9 39 515 
9 39 569 
9 39 623^ 

9 39 677 



L Cot 



Cd 

58 

58 
57 
57 

58 
57 
57 

57 
57 
57 

57 

57 
57 
57 
56 
57 
56 

57 
56 
57 

56 

56 
56 
56 

56 
56 
56 

56 
56 
55 

56 

56 

55 
55 
56 
55 
55 
56 
55 
55 

55 

55 
55 
54 

55 
55 
54 

55 
55 
54 

54 

55 
54 
54 

54 
54 
54 

54 
54 
54 



Cd 



L Cot 

0.63 664 

0.63 606 
0.63 548 
0.63 491 

0.63 434 
0.63 376 
0.63 319 

0.63 262 
0.63 205 
0.63 148 

0.63 091 

0.63 034 
0.62 977 
0.62 920 

0.62 863 
0.62 807 
0.62 750 

0.62 694 
0.62 637 
0.62 581 




1.62 132 
1.62 076 
1.62 020 





0.61 965 



61 909 
61 853 
61 798 

61 743 
61 687 
.61 632 

61 577 
.61 521 
.61 466 



0.61 411 

0.61 356 
o 61 301 
0.61 246 

0.61 192 
0.61 137 
0.61 082 

0.61 028 
0.60 973 
0.60 918 

0.60 864 

0.60 810 
0.60 755 
0.60 701 

0.60 647 
0.60 593 
0.60 539 

0.60 485 
0.60 431 
^.60 377 
0.60 323 



LTan 



76 



L Cos 

9 98 872 

9.98 869 
9.98 867 
9.98 864 

9.98 861 
9 98 858 
9 98 855 

9 98 852 
9.98 849 
9.98 846 



9 98 843 



9.98 840 
9 98 837 
9.98 834 

9 98 831 
9.98 828 
9 98 825 
9.98 822 
9.98 819 
9.98 816 

9 98 813^ 

9.98 810 
9.98 807 
9.98 804 

9.98 801 
9.98 798 
9 98 795 

9.98 792 
9.98 789 
9.98 786 

9 98 783 



9.98 780 
9.98 777 
9.98 774 
9.98 771 
9.98 768 
9.98 765 

9.98 762 
9 98 759 
9.98 756 



9 98 753 



9.98 750 
9.98 746 
9 98 743 
9 98 740 
9 98 737 
9 98 734 

9 98 731 
9.98 728 
9.98 725^ 

9.98 722 



9.98 719 
998 715 
9.98 712 

9 98 709 
9 98 706 
9 98 703 

9 98 700 
9.98 697 
9.98 694 

9.98 690 



LSin 



60 

59 
58 
57 

56 
55 
54 

53 
52 
51 

50 

49 
48 
47 

46 
45 

44 

43 
42 
41 

40 

39 
38 
37 

36 
35 
34 

33 
32 
31 

30 

29 

28 
27 

26 
25 

24 

23 
22 
21 

20 

19 
18 
17 

16 
15 
14 

13 
12 
11 

iO 

9 
8 
7 

6 
5 
4 

3 
2 
1 

O 



P P 



68 



56 



54 

5-4 
10.8 
16.2 
21.6 
27.0 
32-4 
37.8 
43-2 
48.6 



52 

S-2 
10.4 

IS.6 
20.8 
26.0 
312 
364 
41.6 
46.8 



57 



I 


S.8 


S-7 


2 


11.6 


1 1. 4 


3 


17.4 


17.1 


4 


23.2 


22.8 


5 


29.0 


28.. s 


6 


34-8 


34-2 


7 


40.6 


39-9 


8 


46.4 


45-6 


9 


52.2 


513 



55 



I 


5.6 


5-5 


2 


II. 2 


II.O 


3 


16.8 


16.S 


4 


22.4 


22.0 


S 


28.0 


27-5 


6 


33.6 


330 


7 


39-2 


38.S 


8 


44.8 


44.0 


9 


50-4 


49-S 



53 

5-3 
10.6 
iS-9 
21.2 
26.5 
31-8 
371 
42.4 
47-7 



51 

S-i 
10.2 
iS-3 
20.4 

2SS 

30.6 
35-7 
40.8 
45-9 



I 


0.4 


0.3 


2 


0.8 


0.6 


^ 


1.2 


O.Q 


4 


1.6 


1.2 


S 


2.0 


IS 


6 


2.4 


1.8 


7 


2.8 


2.1 


8 


3-2 


2.4 


9 


30 


2.7 



p p 



(37) 



14" 



1 
2 
3 

4 
5 
6 

7 
8 
9 

10 

11 
12 
13 

14 
15 
16 

17 
18 
19 

20 

21 
22 
23 

24 
25 
26 

27 
28 
29 

30 

31 
32 
33 

34 
35 
36 

37 
38 
39 

40 

41 
42 
43 

44 
45 
46 

47 
48 
49 

50 

51 
52 
53 

54 
55 
56 

57 
58 
69 

60 



L Sin 



938 

9.38 
938 
938 

938 
938 
938 

938 
938 
938 



368 

418 
469 
5x9 

570 
620 
670 

721 
771 
821 



938 871 

938 
938 
9-39 



939 
9 39 
939 

939 
939 
939 



921 
971 
021 

071 
121 
170 

220 
270 
319 



9 39 369 

418 
467 
517 
566 
615 
664 

713 
762 
811 



939 
939 
939 

939 
939 
9 39 

939 
939 
9 39 

9.39 860 



9 39 
939 
9.40 

9.40 
9.40 
9.40 

9.40 
9.40 
940 

940 

9.40 
9.40 
9.40 

9.40 
9.40 
9.40 

9.40 
9.40 
9.40 



9.40 825 



9.40 
9.40 
9.40 

9.41 
9.41 
9.41 

9.41 
9.41 
9.41 



873 
921 
968 

016 
063 
III 

158 
20s 
252 



50 

51 
so 
51 
50 
SO 
51 
SO 
SO 
50 

SO 

SO 
50 
50 

SO 
49 
SO 

50 
49 
50 

49 

49 
SO 
49 

49 
49 
49 

49 
49 
49 



909 
958 
006 

05s ! 

103 

152 

200 
249 
297 

346 

394 

442 
490 

538 
586 
634 
682 
730 
778 



49 
4S 
49 
48 
49 
48 

49 
48 
49 



9.41 300 



48 
48 

48 
48 
48 
48 
48 
47 
48 

48 
47 
48 

47 
48 
47 

47 
47 

48 



L Cos 



L Tan 

9 39 677 

9 39 731 
9 39 785 
9 39 838 

9 39 892 
9 39 945 
9 39 999 
9.40 052 
9.40 106 
9.40 159 



9.40 212 



9.40 266 
9.40 319 
9.40 372 

9.40 425 
9,40 478 
940 531 
9.40 584 
9.40 636 
9.40 689 



9.40 742 



9 40 795 
9.40 847 
9.40 900 

9.40 952 
941 005 
9 41 057 

9.41 109 
9.41 161 
9.41 214 



9.41 266 



9.41 318 
9-41 370 
9.41 422 

9.41 474 
941 526 
941 578 
9.41 629 
9.41 681 
941 733 



9.41 784 



9.41 836 
9.41 887 

941 939 

9.41 990 

9.42 041 
9.42 093 

9.42 144 

942 195 
9.42 246 



9.42 297 



9.42 348 
942 399 
9.42 450 

9.42 SOI 
942 552 
9.42 603 

9 42 653 
9.42 704 

942 755 



c d L Cot 



9.42 805 



0.60 323 

0.60 269 
0.60 215 
0.60 162 

0.60 108 
0.60 055 
0.60 001 

0.59 948 
0.59 894 
0.59 841 



0.59 788 



0.59 734 
0.59 681 
0.59 628 

0.59 575 
0.59 522 

o 59 469 
0.59 416 
0.59 364 
0.59 311 



0.59 258 



0.59 205 
0.59 153 
0.59 100 

0-59 048 
0.58 995 
0.58 943 
0.58 891 
0.58 839 
0.58 786 



0.58 734 



0.58 682 
0.58 630 
0.58 578 
0.58 526 
0.58 474 
0.58 422 

0.58 371 
0.58 319 
0.58 267 



0.58 2l6 



0.58 164 
0.58 113 
0.58 061 

0.58 010 

0.57 959 
0.57 907 

0.57 856 
0.57 805 
0.57 754 



0.57 703 



0.57 652 
0.57 601 
0.57 550 

0.57 499 
0.57 448 
0.57 397 

0.57 347 
0.57 296 
0.57 245 



0.57 195 



L Cot c d L Tan 



L Cos 

9.98 690 

9.98 687 
9.98 684 
9.98 681 

9.98 678 
9.98 675 
9.98 671 

9.98 668 
9 98 665 
9.98 662 



9.98 659 



9 98 656 
9 98 652 
9.98 649 

9.98 646 
9.98 643 
9.98 640 

9.98 636 
9 98 633 
9.98 630 



9.98 627 



9.98 623 
9.98 620 
9.98 617 

9.98 614 
9.98 610 
9.98 607 

9.98 604 
9.98 601 
9 98 597 



9 98 594 



9.98 591 
9 98 588 
9.98 584 

9 98 581 
9.98 578 
9.98 574 
9.98 571 
9 98 568 
9 98 565 



998 561 



998 558 
9 98 555 
9 98 551 
9.98 548 
9 98 545 
9 98 541 
9 98 538 
9 98 535 
9 98 531 



9 98 528 



998 525 
998 521 
9 98 518 

9 98 515 
9.98 511 
9 98 508 

9 98 505 
9 98 501 
9.98 498 



9,98 494 



L Sin 



60 

59 
58 
57 

56 
55 
54 

53 
52 
51 

50 

49 

48 
47 

46 
45 

44 

43 
42 
41 

40 

39 
38 
37 

36 
35 
34 

33 
32 
31 

30 

29 
28 
27 

26 
25 
24 

23 
22 
21 

20 



3 


19 
18 


4 


17 


.s 






16 


J 


15 


4 


14 


A 






13 


S 


12 


4 


11 


3 





p p 



54 

5-4 
10.8 
16.2 
21.6 
27.0 
32.4 
37.8 
43-2 
48.6 



52 

5-2 
10.4 
15-6 
20.8 
26.0 
31-2 
364 
41.6 

46.8 



50 

S-o 

lO.O 

150 

20.0 
25.0 
30.0 

35-0 
40.0 
450 



48 



53 

5-3 
10.6 
iS-9 

21.2 
26.S 
31.8 
37-1 

42.4 
47-7 



51 

S-i 
10.2 
lS-3 
20.4 
255 
30-6 
35-7 
40.8 
45-9 



49 

4.9 
9-8 
14.7 
19.6 
24-5 
294 
34-3 
39-2 
44.1 



47 



I 


4.8 


4-7 


2 


9.6 


9.4 


3 

4 


14.4 
19.2 


14.1 
18.8 


5 
6 


24.0 
28.8 


23-5 
28.2 


7 
8 


33-6 
38.4 


32.9 
37.6 


9 


43-2 


42.3 



1 0.4 0.3 

2 0.8 0.6 

3 1.2 0.9 

4 1.6 1.2 

5 2.0 i.s 

6 2.4 1.8 

7 2.8 2.1 

8 3.2 2.4 

9 3-6 2.7 



P P 



(38) 



76 



16 



r 


L Sin 


d 


L Tan 


cd 


L Cot 


L Cos 


d 




P P 





9.41 300 


47 


9.42 805 


SI 


0.57 195 


9.98 494 




60 






1 


9 41 347 


9 42 856 


0.57 144 


9 98 491 


■' 


59 






2 


9 41 394 


4/ 


9.42 906 


50 


0.57 094 


9.98 488 


■•> 


58 






3 


9.41 441 


4; 
47 


9 42 957 


51 

50 


0.57 043 


9.98 484 


■I 


57 






4 


9.41 488 


9 43 007 


0.56 993 


9 98 481 




56 






5 


9 41 535 


4/ 


9 43 057 


50 


0.56 943 


9.98 477 


4 


55 


51 


50 


6 


9 41 582 


4/ 


9.43 108 


51 


0.56 892 


9.98 474 


-^ 


54 


I 


S.I 


S-o 


7 


9.41 628 




9 43 158 




0.56 842 


9.98 471 


3 


53 


2 


10.2 


lO.O 


8 


9.41 675 I -^^ 


9.43 208 


50 


0.56 792 


9 98 467 


1 


52 


3 

4 

6 
7 
8 


15.3 
20.4 
25.5 
30.6 
35-7 
40.8 


15.0 


9 
10 
11 


9.41 722 
9.41 768 


47 
40 

47 


9-43 258 
9 43 308 


50 
50 

50 


0.56 742 


9.98 464 


4 
3 


51 
50 

49 


25.0 
30.0 
35.0 

40.0 


0.56 692 


9.98 460 


9.41 815 


9 43 358 


0.56 642 


9 98 457 


12 


9.41 861 


40 


9 43 408 


^° \ 0.56 592 


9 98 453 


4 


48 








13 
14 


9.41 908 
9 41 954 


4/ 
46 


9 43 458 
9 43 508 


50 
50 


0.56 542 
0.56 492 


9.98 450 
9 98 447 




5 


47 
46 






15 


9.42 001 


47 


9 43 558 


50 


0.56 442 


9 98 443 


4 


45 






16 


9.42 047 


40 
.16 


9.43 607 


49 
50 


0.56 393 


9.98 440 


4 


44 


49 


48 


17 


9.42 093 




9 43 657 




0.56 343 


9.98 436 




43 


1 


4-9 


4.8 


18 


9.42 140 


47 
46 
46 

46 

46 
46 

40 


9 43 707 


50 


0.56 293 


9 98 433 


S 


42 


2 


g.8 


9.6 


19 


9.42 186 


9 43 756 


49 
50 


0.56 244 


9.98 429 


4 

3 

4 


41 


3 


14.7 


14.4 


20 


9 42 232 


9 43 806 


49 


0.56 194 


9.98 426 


40 


S 


24.5 


24.0 
28 8 


21 


9 42 278 


9 43 855 




0.56 145 


9.98 422 


39 


7 


34.3 


33.6 


22 


9.42 324 


9 43 905 


50 


0.56 095 


9 98 419 


3 


38 


8 


39.2 


38.4 


23 


9.42 370 


9 43 954 


49 


0.56 046 


9.98 415 


4 
3 


37 


g ! 44.1 


43.2 


24 


9.42 416 


9 44 004 




0.55 996 


9.98 412 


36 






25 


9.42 461 


45 


9-44 053 


40 


0.55 947 


9 98 409 


3 


35 






26 


9.42 507 


40 
46 

46 


9.44 102 


49 


0.55 898 


9.98 405 


4 


34 






27 


9 42 553 


9 44 151 


49 


55 849 


9.98 402 





33 


47 


16 


28 


9 42 599 


9.44 201 


5° 


0.55 799 


9.98 398 


4 


32 


I 


4-7 


4.6 


29 
30 


9.42 644 


45 
40 

45 
46 


9 44 250 


49 

49 

49 


0.55 750 


9 98 395 


4 
3 


31 
30 


3 
4 


9.4 
14.1 
18.8 
23.5 


9.2 
13.8 
18.4 


9.42 690 


9 44 299 


0.55 701 


9.98 391 


31 


9 42 735 


9 44 348 




0.55 652 


9 98 388 




29 


6 


28.2 


27.6 


32 


9.42 781 


9 44 397 


49 


0.55 603 


9.98 384 


4 


28 


7 
8 
9 


32.9 
37.6 
42.3 


32.2 
36.8 
41.4 


33 


9.42 826 


45 
46 


9 44 446 


49 
49 


0.55 554 


9.98 381 


3 
4 


27 


34 


9.42 872 




9 44 495 




0.55 505 


9 98 377 




26 






3b 


9.42 917 


45 


9 44 544 


48 
49 


0.55 456 


9 98 373 




25 






36 


9.42 962 


45 
46 


9 44 592 


0.55 408 


9.98 370 


4 


24 






37 


9 43 008 


9 44 641 




0.55 359 


9.98 366 




23 






38 


9 43 053 


45 


9 44 690 


49 
48 
49 


0.55 310 


9 98 363 


.> 


22 


45 


44 


39 


9 43 098 


45 
45 


9 44 738 


0.55 262 


9 98 359 


4 


21 


I 


4.5 


4.4 


40 

41 


9 43 143 


45 


9 44 787 


49 

48 


0.55 213 


9 98 356 


4 


20 

19 


2 
3 
4 


9.0 

13. S 

18.0 


8.8 
13.2 
17.6 


9 43 188 


9 44 836 


0.55 164 


9 98 352 


42 


9 43 233 tr 


9 44 884 


0.55 116 


9 98 349 




18 


6 


27.0 
31.5 


■>ft 1 


43 


9 43 278 -J5 
9 43 323 , , 


9 44 933 


48 
48 


0.55 067 


9 98 345 


3 


17 


7 


30.8 


44 


9 44 981 


0.55 019 


9 98 342 




16 


8 


36.0 


35. 2 
39.6 


45 


9 43 367 ■;: 


9 45 029 


0.54 971 


9 98 338 


4 


15 


9 


40. s 


46 


9.43 412 ■]^_ 
9 43 457 ,. 


9.45 078 


48 

48 
48 
49 


0.54922 


9 98 334 


3 


14 






47 


9 45 126 


0.54 874 


9 98 331 




13 






48 


9 43 502 I y 


9 45 174 


0.54 826 


9.98 327 




12 


4 


3 


49 


9 43 546 j -J^* 


9 45 222 


0.54 778 


9.98 324 


4 


11 






50 


9 43 591 ^^ 
9 43 635 


9 45 271 


48 


0.54 729 


9 98 320 


3 


10 


2 


0.8 


0.6 


51 


9 45 319 


0.54 681 


9 98 317 


4 


9 


4 


1.6 


1.2 


52 


9.43 680 ]\ 


9 45 367 J'J 
9 45 415 '\'^ 


0.54 633 


9 98 313 


8 


S 


2.0 


IS 


53 


9.43724 Ij 


0.54 585 


9.98 309 


.5 


7 


6 

7 


2.4 
2.8 


1.8 
2.1 


54 


943769 ,, 


945463 ,« 


0.54 537 


9.98 306 


4 


6 


8 


3-2 


2.4 


55 


9 43 813 


9 45 511 


48 
47 


0.54 489 


9.98 302 


5 


9 


3.6 


2.7 


56 


9-43 857 11 


9 45 559 


0.54 441 


9.98 299 


4 


4 






67 


943901 


9 45 606 


48 
48 
48 


0.54 394 


9 98 295 


4 


3 






58 


9 43 946 -y. 


9 45 654 


0.54 346 


9.98 291 


2 






59 
60 


9 43 990 


44 
44 


9 45 702 


0.54 298 


9.98 288 


4 


1 







9 44 034 


9-45 750 


0.54 250 


9.98 284 




L Cos d 


L Cot 


Cd 


L Tan 


L Sin 


d 


/ 


P P 1 



74' 



(■■ill) 



16 



1 


L Sin d 


L Tan 


c d L Cot 


L Cos 


! d 




P P 





9 44 034 


9 45 750 


0.54 250 


9.98 284 




60 






1 


o 1 "^■^ 

9 44 078 


9-45 797 


n 0.54 203 
4'^ 0.54 155 


9.98 281 


! 3 


59 






2 


9.44 122 44 


9-45 845 


9.98 277 


4 


58 






3 


9.44 166 44 
9.44 210 i 


9 45 892 


47 0.54 108 
0.54 060 


9.98 273 


4 


57 


48 


47 


4 


9 45 940 


9.98 270 


3 


56 


1 


4.8 


4-7 


5 


9 44 253 1 ^^^ 


9 45 987 


47 0.54013 


9.98 266 


4 


55 


2 


9.6 


9.4 


6 


9 44 297 i 44 


9 46 035 


■*^ 0.53 965 


9.98 262 


4 


54 


3 


14.4 


14.1 


7 


9.44 341 "^"^ 


9.46 082 


47 
,0 0.53918 


9.98 259 


3 


53 


4 
5 


19.2 

24.0 


18.8 
23-5 


8 


9.44 385 -t^ 


9 46 130 


4^ 0.53 870 


9 98 255 


4 


52 


6 


28.8 


28.2 


9 


9.44 428 43 

! 44 

9.44 472 

^! 44 

9.44 516 


9.46 177 


47 j ^53 823 


9 98 251 


4 
3 

4 


51 


7 
8 


33.6 
38.4 
43-2 


32.9 
37.6 
42.3 


10 


9.46 224 


1 ^ ' 


0.53 776 


9.98 248 


50 


9 


11 


9.46 271 


4/ 1 

,0 0.53 729 
4S 0.53 681 


9.98 244 


49 






12 


9-44 559 ^^^ 


9.46 319 


9.98 240 


4 


48 






13 


9.44 602 43 


9.46 366 


4J 0.53 634 


9.98 237 


■5 


47 






14 


9,44 646 ^"^ 


9.46 413 


,, 53 587 


9 98 233 


4 


46 






15 


9.44 689 43 


9.46 460 


4; 0.53 540 


9.98 229 


4 


45 


46 


45 


16 


9-44 733 ^1 


9.46 507 


4^ 0.53 493 
0.53 446 


9.98 226 


3 


44 


I 


4.6 


4-S 


17 


9.44 776 1 "^'^ 


946 554 


9.98 222 


4 


43 


2 


9.2 
13-8 
18.4 
23.0 
27.6 
32.2 
36.8 


9.0 


18 


9.44 819 ' 43 


9.46 601 


Zl 0.53 399 


9.98 218 


4 


42 


3 
4 
S 
6 

7 
8 


13s 
18.0 


19 
20 
21 


9.44 862 43 

A i 


9.46 648 
9.46 694 


47 
46 

47 


0.53 352 


9 98 215 


3 

4 

4 


41 
40 

39 


22.5 
27.0 
31-5 
36.0 


9 44 90s 


43 


0.53 306 


9.98 211 


9.44 948 


9.46 741 


0.53 259 


9.98 207 


22 


9 44 992 


44 


9.46 788 


47 0.53 212 


9.98 204 


3 


38 


9 41.4 


40-5 


23 
24 


9-45 035 
9-45 077 


43 
42 


9 46 835 
9.46 881 


J^ 0.53 165 
0.53 119 


9.98 200 
9.98 196 


4 

4 


37 
36 






25 


9-45 120 


43 


9.46 928 


4; 0.53 072 


9.98 192 


4 


35 






26 


9 45 163 


43 


9 46 975 


46 °-53 025 
.- 0.52 979 


9.98 189 


3 


34 






27 


, 43 
9.45 200 1 


9.47 021 


9 98 185 


4 


33 


44 


43 


28 


9.45 249 ^^ 


9.47 068 


47 0.52 932 
46 0.52886 


9.98 181 


4 


32 


I 


4.4 


4-3 


29 


9.45 292 43 


9 47 114 


9.98 177 


4 


31 


2 
3 

4 


8.8 
13 2 


8.6 
12.9 
17.2 


30 


9-45 334 

43 

9-45 377 


9.47 160 


^^ 0.52 840 


9.98 174 




4 


30 


17.6 


31 


9.47 207 


46 °-52 793 
4^ 0.52 701 


9.98 170 


29 


5 
6 


26.4 


21. S 
25.8 


32 


9.45 419 42 


9-47 253 


9.98 166 


4 


28 


7 


30.8 


30.1 


33 


9.45 462 4o 


9 47 299 


9.98 162 


4 


27 


8 


35-2 


34-4 




42 




47 




3 




9 


39.6 


38.7 


34 


9-45 504 


9 47 346 


,A 0.52 654 
4^ 0.52 608 

it , °-5^ 562 

46 °-52 516 
11 0.52470 


9.98 159 




26 






35 


9-45 547 ■^^ 


9 47 392 


9 98 155 


4 


25 






36 


9 45 589 -^l 
, 43 
945632 


9 47 438 


9.98 151 


4 


24 






37 


9 47 484 


9.98 147 


4 


23 






38 


9.45 674 42 


9-47 530 


9.98 144 


3 


22 






39 


9.45 716 42 

42 


9-47 576 


9.98 140 


4 
4 

4 


21 


42 


41 


40 


9-45 758 


9.47 622 


16 052 378 


998 136 


20 


I 
2 


4-2 
8.4 


4-1 

8.2 


41 


9.45 801 


9.47 668 


,f, 0.52 332 


9 98 132 


19 


3 


12.6 

16.8 


12.3 


42 


9.45 843 -^^ 


9-47 714 


40 
46 
46 

46 


0.52 286 


9.98 129 


■5 


18 


4 
5 


21.0 


10.4 
20 5 


43 


9-45 885 42 


9 47 760 


0.52 240 


9 98 125 


4 


17 


6 


25.2 


24.6 


44 


9 45 927 


9.47 806 


0.52 194 


9.98 121 


4 


16 


7 
8 


29.4 
33.6 

^7.8 


28.7 
32.8 

36.9 


45 


9.45 969 42 


9.47 852 


0.52 148 


9.98 117 


4 


15 


g 


46 


9.46 on 4- 
^ 42 
9 46 053 


9.47 897 


45 
46 


0.52 103 


9.98 113 


4 


14 






47 


9 47 943 


46 


0.52 057 


9.98 no 




13 






48 


9.46 095 42 


9 47 989 


7. 0.52 on 


9.98 106 


4 


12 






49 


9.46 136 41 


9 48 035 


40 
45 


0.51 965 


9.98 102 


4 
4 


11 






50 

51 


9.46 178 


42 


9.48 080 


46 


0.51 920 


9.98 098 


4 


10 

9 


4 


3 

0-3 


9.46 220 


9.48 126 


0.51 874 


9.98 094 


I 


0.4 


52 
53 

54 


9.46 262 -*- 
946303 4' 
946 345 


9.48 171 
9.48 217 

9.48 262 


46 °-5^ 829 

ts i ""^^ '^' 
.^ 0.51 738 


9.98 090 
9.98 087 

9 98 083 


4 
4 


8 
7 

6 


2 
3 
4 
5 


0.8 

1.2 

1.6 
2.0 


0.6 
0.9 
1.2 
IS 


55 


946386 41 


9.48 307 


46 ° 51 693 

ts ° 51 647 
0.51 602 


9.98 079 


4 


5 


6 


2.4 


1.8 


56 
57 


9.46428 42 
9 46 469 


9 48 353 
9.48 398 


9.98 075 
9.98 071 


4 
4 


4 
3 


8 
9 


2.8 

3-2 

3.6 


2.1 
2.4 
2.7 


58 


9.46 511 42 


9 48 443 


4?, 0.51 557 


9.98 067 


4 


2 






59 
60 


9.46 552 41 
'^ 42 
9 46 594 


9.48 489 


40 

45 


0.51 511 


9.98 063 


4 
3 


1 







9 48 534 


0.51 466 


9.98 060 




L Cos 


d 


L Cot 


c d L Tan 


L Sin 


d 


/ 


P P 



(40) 



73 



17< 



t 


1 


L Sin 


d 


L Tan 


cd 


L Cot 


L Cos 


d 




P 


P 


9 46 594 


41 


948 534 


45 


0.51 466 


9.98 060 


4 


60 

59 






9 46 63s 


948 579 


0.51 421 


9.98 056 


2 


9.46 676 


41 


9.48 624 


45 


0.51 376 


9.98 052 


4 


58 






3 


9.46 717 


41 


9.48 669 


45 


0.51 331 


9.98 048 


4 


57 






4 


9.46 758 


41 


9.48 714 


45 


0.51 286 


9.98 044 


4 


56 






5 


9.46 800 


42 


9 48 759 


45 


0.51 241 


9.98 040 


4 


55 






6 


9.46 841 


41 


9.48 804 


45 


0.51 196 


9 98 036 


4 


54 


45 


44 43 


7 


9.46 882 


41 


9.48 849 


45 


0.51 151 


9 98 032 


4 


53 


8 


9.46 923 


41 


9.48 894 


45 


0.51 106 


9 98 029 


3 


52 


I 


4-5 


4-4 4-3 
8.8 8.6 
132 12-9 
17.6 17.2 
22.0 21. s 


9 
10 


9.46 964 
9 47 005 


41 
41 

40 


9 48 939 


45 
45 

45 


0.51 061 


9.98 025 


4 
4 

4 


51 
50 


2 y.vj 

3 13s 

4 18.0 

5 22. <{ 


9.48 984 


0.51 016 


9.98 021 


11 


9 47 045 


9 49 029 


0.50 971 


9.98 017 


49 


6 2 


70 


26.4 25.8 
30.8 30.1 


12 


9.47 086 


41 


9 49 073 


44 


0.50 927 


9 98 013 


4 


48 


7 3i-5 
S 36.0 
9 1 40.S 


13 


9 47 127 


41 

41 


9.49 118 


45 
45 


0.50 882 


9.98 009 


4 
4 


47 


35-2 34-4 
39-6 38.7 


14 


9.47 168 


9 49 163 


0.50 837 


9 98 005 


46 






15 


9.47 209 


41 


9 49 207 


44 


0.50 793 


9.98 001 


4 


45 






16 


9 47 249 


40 


9 49 252 


45 


0.50 748 


9 97 997 


4 


44 






17 


9 47 290 


41 


9 49 296 


44 


0.50 704 


9 97 993 


4 


43 






18 


9-47 330 


40 


9 49 341 


1^ 


0.50 659 


9 97 989 


4 


42 






19 


9 47 371 


41 
40 

41 


9 49 385 


44 
45 

44 


0.50 615 


9 97 986 


3 
4 

4 


41 






20 


9 47 4" 


9 49 430 


0.50 570 


9 97 982 


40 


42 


41 


21 


9 47 452 


9 49 474 


0.50 526 


9 97 978 


39 


I 


4.2 
8.4 
12 6 


4.1 
8.2 
12.3 


22 


9 47 492 


40 


9 49 519 


45 


0.50 481 


9 97 974 


4 


38 


2 
3 
4 


23 


9 47 533 


41 

40 


9 49 563 


44 
44 


0.50 437 


9 97 970 


4 
4 


37 


16.8 


16.4 


24 


9 47 573 


9 49 607 


0.50 393 


9 97 966 


36 


5 
6 
7 
8 
9 


21.0 


20.S 
24.6 
28.7 
32.8 
369 


25 


9 47 613 


40 


9 49 652 


45 


0.50 348 


9 97 962 


4 


35 


25.2 
29.4 

33.6 
37.8 


26 
27 


9 47 654 
9.47 694 


41 

40 


9 49 696 

9 49 740 


44 
44 


0.50 304 
0.50 260 


9 97 958 
9 97 954 


4 
4 


34 
33 


28 


9 47 734 


40 


9 49 784 


44 


0.50 216 


9 97 950 


4 


32 






29 
30 


9 47 774 


40 
40 

40 


9.49 828 


44 
44 

44 


0.50 172 


9 97 946 


4 
4 

4 


31 
30 






9 47 814 


9 49 872 


0.50 128 


9 97 942 


31 


9-47 854 




9 49 916 


0.50 084 


9 97 938 




29 






32 


9 47 894 


40 


9 49 960 


44 


0.50 040 


9 97 934 


4 


28 






33 


9 47 934 


40 

40 


9 50 004 


44 
44 


0.49 996 


9 97 930 


4 
4 


27 


40 


39 


34 


9 47 974 




9 50 048 




0.49 952 


9 97 926 




26 


I 


4.0 


3 9 


35 


9.48 014 


40 


9.50 092 


44 


0.49 908 


9 97 922 


4 


25 


2 


8.0 


7.8 


36 


9.48 054 


40 


9 50 136 


44 


0.49 864 


9 97 918 


4 


24 


3 


12.0 


II. 7 






40 




44 






4 




4 


16.0 


156 


37 


9.48 094 




9.50 180 




0.49 820 


9 97 914 




23 


5 


20.0 


I9-S 


38 


9 48 133 


39 


9 50 223 


43 


0.49 777 


9 97 910 


4 


22 


6 


24.0 


23-4 


39 


948 173 


40 
40 


9.50 267 


44 
44 

44 


0.49 733 


9 97 906 


4 
4 


21 


7 
8 


28.0 
^20 


27-3 
312 
35-1 


40 


9 48 213 


39 


9 50 3" 


0.49 689 


9 97 902 


4 


20 


9 


360 


41 


9 48 252 




9 50 355 


0.49 645 


9 97 898 




19 






42 


9.48 292 


40 


9 50 398 


43 


0.49 602 


9 97 894 


4 


18 






43 


9 48 332 


40 

3y 


9.50 442 


44 
43 


0.49 558 


9 97 890 


4 
4 


17 






44 


9 48 371 




9 50 485 


0.49 515 


9 97 886 




16 






45 


9.48 411 


40 


9 50 529 


44 


0.49 471 


9 97 882 


4 


15 






46 


9.48 450 


3Q 


9 50 572 


43 


0.49 428 


9 97 878 


4 


14 






47 


9.48 490 


40 


9.50 6i6 


44 


0.49 384 


9 97 874 


4 


13 


5 


4 3 


48 


9.48 529 


39 


9 50 659 


43 


0.49 341 


9 97 870 


4 


12 


I 


o.S 


0.4 0.3 


49 


9 48 568 


39 
39 


9 50 703 


44 

43 


0.49 297 


9.97 866 


4 
5 


11 


2 
3 
4 

I 


I.O 

1-5 
2.0 
«S 
30 


0.8 0.6 
1.2 0.9 


60 


9.48 607 


40 


9.50 746 


43 


0.49 254 


9.97 861 


4 


10 


1.6 1.2 
2.0 l.s 
2.4 1.8 


51 


9.48 647 




9 50 789 




0.49 211 


9 97 857 




9 


52 


9.48 686 


39 


9 50 833 


44 


0.49 167 


9 97 853 


4 


8 


I 


35 


2.8 2.1 


53 


9.48 725 


39 
39 


9 50 876 


43 

43 


0.49 124 


9 97 849 


4 
4 


7 


I 


4.0 
4-S 


3.2 2.4 
3.6 2.7 


54 


9.48 764 




9 50 919 




0.49 081 


9 97 845 




6 






55 


9.48 803 


3*V 


9 50 962 


43 


0.49 038 


9 97 841 


4 


5 






56 


9.48 842 


39 
39 


9 51 005 


43 
43 


0.48 995 


9 97 837 


4 

4 


4 






57 


9.48 881 




9 51 048 


0.48 952 


9 97 833 




3 






58 


9.48 920 


39 


9 51 092 


44 


0.48 908 


9 97 829 


4 


2 






59 


9^48 959 


39 
39 


9 51 135 


43 
43 


0.48 865 


9 97 825 


4 
4 


1 






60 


9.48 998 


9 51 178 


0.48 822 


9 97 821 













L Cos 


d 


L Cot 


Cd 


L Tan 


L Sin 


d 


1 


P 


P 



72' 



(41) 



18" 



1 
2 

3 

4 
5 
6 

7 
8 
9 

10 

11 
12 
13 

14 
15 
16 

17 
18 
19 

20 

21 
22 
23 

24 
25 
26 

27 
28 
29 

30 

31 
32 
33 

34 
35 
36 

37 
38 
39 

40 

41 
42 
43 

44 
45 
46 

47 
48 
49 

50 

51 
52 
53 

54 
55 
56 

57 
58 
59 

60 



L Sin 

9 48 998 

9 49 037 
9 49 076 
9 49 "5 

9 49 153 
9 49 192 
9 49 231 

9 49 269 
9 49 308 
9 49 347 



9 49 38s 



9 49 424 
9 49 462 
9 49 500 

9 49 539 
9 49 577 
9 49 615 

9 49 654 
9 49 692 
9 49 730 



9 49 768 



9.49 806 
9.49 844 
9.49 882 

9 49 920 
9 49 958 
9 49 996 
9 50 034 
950 072 
9 50 no 



9 50 148 



9 50 185 
9 50 223 
9.50 261 

9.50 298 
9 50 336 
9 50 374 
9.50 4" 
9 50 449 
9.50 486 



9 50 523 



9 50 561 
9 50 598 
9 50 635 

9 50 673 
9.50 710 
9-50 747 

9.50 784 
9.50 821 
9 50 858 



9. SO 896 



9 50 933 
9 50 970 
9-51 007 

9 51 043 
9.51 080 
9 51 117 

9 51 154 
9 51 191 
9.51 227 



9 51 264 



L Cos 



39 

.59 
,50 
38 

39 
39 

3S 

39 
39 
38 

39 

38 
38 
39 
38 
38 
39 
38 



38 

38 
38 
38 

38 
38 
38 
38 
SS 
38 

37 

38 
38 
37 

38 
38 
37 
38 
37 
37 

38 

37 
37 
38 

37 
37 
37 

37 
37 
38 

37 

37 
37 
36 

37 
37 
37 

37 
36 
37 



L Tan 

951 178 

951 221 
9.51 264 
9 51 306 

9 51 349 
9 51 392 
9 51 435 
9 51 478 
9 51 520 
9-51 563 



9. SI 606 



9 51 648 
951 691 
9 51 734 

9 51 776 
9 SI 819 
9 51 861 

9 51 903 
9.51 946 
9 SI 988 



9 52 031 



9 52 073 
9 52 115 
9-52 IS7 
9.52 200 
9.52 242 
9.52 284 

9 52 326 
952 368 
952 410 



9-52 452 



9 52 494 
9 52 536 
9-52 578 
9.52 620 
9.52 661 
952 703 

9-52 745 
9-52 787 
9.52 829 

9-52 870 



9 52 912 
9 52 953 
9 52 995 
9-53 037 
9 53 078 
9 53 120 

9 53 161 
9-53 202 
9-53 244 



9 53 28s 



9 S3 327 
9 53 368 
9 53 409 

9-53 450 
9 53 492 
9 S3 533 

9S3 574 
9 53 61S 
9 53 656 
9 53 697 



L Cot C d 



cd 



43 

43 
42 
43 

43 
43 
43 

42 
43 
43 

42 

43 

43 
42 

43 

42 
42 

43 
42 
43 
42 

42 
42 
43 

42 

42 
42 

42 
42 
42 



42 
42 
42 

41 

42 
42 

42 
42 
41 

42 

41 
42 
42 

41 
42 
41 

41 
42 
41 



L Cot 

0.48 822 

0.48 779 
0.48 736 
0.48 694 

0.48 651 
0.48 608 
0.48 565 

0.48 S22 
0.48 480 

0.48 437 



0.48 394 



0.48 3S2 
0.48 309 
0.48 266 

0.48 224 
0.48 181 
0.48 139 
0.48 097 
0.48 0S4 
0.48 012 



0.47 969 



0.47 927 
0.47 885 
0.47 843 
0.47 800 
0.47 7S8 
0.47 716 

0.47 674 
0.47 632 
0.47 S90 



0.47 548 



0.47 506 
0.47 464 
0.47 422 
0.47 380 
0-47 339 
0.47 297 

0.47 255 
0.47 213 
0.47 171 



0.47 130 



0.47 088 
0.47 047 
0.47 cos 

0.46 963 
0.46 922 
0.46 880 

0.46 839 
0.46 798 
0.46 756 



0.46 71S 



0.46 673 
0.46 632 
0.46 591 

0.46 550 
0.46 508 
0.46 467 

0.46 426 
0.46 38s 
046 344 
0.46 303 

L Tan 



L Cos 

9.97 821 

9 97 817 
9.97 812 
9.97 808 

9 97 804 
9.97 800 
9 97 796 

9 97 792 
9 97 788 
9 97 784 



9 97 779 



9 97 775 
9 97 771 
9 97 767 

9 97 763 
9 97 759 
9 97 754 

9 97 750 
9 97 746 
9 97 742 



9 97 738 



9 97 734 
9 97 729 
9-97 725 

9 97 721 
9.97 717 
9 97 713 
9.97 708 
9-97 704 
9 97 700 



9 97 696 



9 97 691 
9 97 687 
9 97 683 

9 97 679 
9 97 674 
9 97 670 
9.97 666 
9.97 662 
9 97 657 

9 97 6S3 



9 97 649 
9 97 64s 
9 97 640 

9 97 636 
9 97 632 
9.97 628 

9 97 623 
9 97 619 
9 97 615 



9.97 610 



9.97 606 
9.97 602 
9 97 597 

9 97 593 
9 97 589 
9 97 584 
9 97 s8o 
9 97 576 
9 97 571 

9 97 567 
L Sin 



60 

59 
58 
57 

56 
55 
54 

53 
52 
51 

50 

49 
48 
47 

46 
45 
44 

43 
42 
41 

40 

39 
38 
37 

36 
35 
34 

33 
32 
31 

30 

29 
28 

27 

26 
25 
24 

23 
22 
21 

20 

19 

18 
17 

16 
15 
14 

13 
12 
11 

10 

9 

8 
7 

6 
5 

4 

3 
2 
1 



P P 



43 

4-3 

8.6 

12.9 

17.2 

2I-S 

2S.8 

30.1 

34-4 
38.7 



42 

4.2 
8.4 
12.6 
16.8 
21.0 
25.2 
29.4 
33-6 
37.8 



41 

4.1 
8.2 

12-3 

16.4 

20.5 
24.6 

28.7 

32-8 
36.9 



39 

3-9 
7.8 
II. 7 
15.6 
19-5 
23.4 
27-3 
31-2 
35-1 



37 



P P 



3.8 

7.6 

11.4 

IS-2 
19.0 
22.8 
26.6 
30-4 

34-2 



36 



I 


3-7 


3.6 


2 


7-4 


7.2 


3 


II. I 


10.8 


4 


14.8 


14.4 


S 


18.5 


18.0 


6 


22.2 


21.6 


7 


25-9 


25.2 


8 


29.6 


28.8 


9 


33-3 


32.4 



I 


o.S 


0.4 


2 


I.O 


0.8 


3 


1-5 


1.2 


4 


2.0 


1.6 


.■) 


2.5 


2.0 


6 


30 


2.4 


7 


3-S 


2.8 


8 


4.0 


3-2 


9 


4-S 


3.6 



(42) 



71 



19 



r 


L Sin 


d 


L Tan 


cd 


L Cot 


L Cos 


d 




P P 1 


o 

1 


951 264 


37 


9 53 697 
9 53 738 


41 


0.46 303 


9 97 567 


4 


60 

59 
58 
57 






9 51 301 


0.46 262 


9 97 563 


2 


9 51 338 


sy 


9 53 779 


41 


0.46 221 


9 97 558 


s 






3 


9 51 374 


,i7 


9-53 820 


41 
41 


0.46 180 


9 97 554 


4 






4 


951 4" 


9 53 861 


0.46 139 


9 97 550 




bb 
55 

54 






5 


9-51 447 




9 53 902 


41 


0.46 098 


9 97 545 


.1 






6 


9.51 484 


.i7 
3 'J 


9 53 943 


41 


0.46 057 


9 97 541 


4 


41 40 


39 


7 


9 51 520 


9 53 984 


0.46 016 


9 97 536 




b3 
52 
51 

50 


I 


4.1 4.0 


3 9 


8 


9 51 557 


:•,? 


9 54 025 


41 


0.45 975 


9 97 532 




2 


8.2 8.0 


7 


8 


9 
10 


9 51 593^ 
9 51 629 


30 
37 


9 54 065 


40 
41 

41 


0.45 935 


9 97 528 


4 
5 

4 


3 
4 
5 
5 


12.3 12.0 

16.4 16.0 

20.5 20.0 


II 
15 
19 
23 
27 


7 
6 
5 
4 
3 


9 54 106 


0.45 894 


9 97 523 


11 


9.51 666 


9 54 147 


0.45 853 


9 97 519 


49 


7 


28.7 28.0 


12 


9-Si 702 


36 


9 54 187 


40 


0.45 813 


9 97 515 


4 


48 


8 


32.8 32.0 


31 


2 


13 


9 51 738 


3') 


9 54 228 


41 
41 


0.45 772 


9 97 510 


5 

4 


47 


9 


36.9 36.0 


35 I 


14 


9 51 774 




9 54 269 


0.45 731 


9 97 506 


46 
45 






15 


951 811 


3 7 


9 54 309 


40 


0.45 691 


9 97 501 


5 






16 


9 51 847 


3f> 


9 54 350 


41 

40 


0.45 650 


9 97 497 










17 


9 51 883 




9 54 390 


0.45 610 


9 97 492 




43 






18 


9 51 919 




9 54 431 


41 


0.45 569 


9 97 488 


4 


42 
41 






19 


9 51 955 


s6 


9 54 471 


41 
40 


0.45 529 


9 97 484 


5 
4 


S7 


36 


20 

21 


9 51 991 


36 

36 


9 54 512 


0.45 488 


9 97 479 


40 

39 
38 


I ' 

2 


3-7 
7-4 


3.6 

7-2 

10.8 


9 52 027 


9 54 552 


0.45 448 


9 97 475 


22 


9 52 063 


9 54 593 




0.45 407 


9 97 470 




4 


14.8 


14.4 


23 

24 
25 


9.52 099 

9 52 135 
9 52 171 


36 

36 
30 


9 54 633 

9 54 673 
9 54 714 


40 
41 


0.45 367 

45 327 
0.45 286 


9 97 466 

9 97 461 
9 97 457 


5 
4 


37 

36 
35 
34 


S 
6 
7 
8 


18.5 
22.2 
25-9 
29.6 


18.0 

21.6 
2S.2 
28.8 


26 


9 52 207 


9 54 754 


40 


0.45 246 


9 97 453 


5 


9 


33-3 


32.4 


27 


952 242 


3^) 
36 
30 

35 


9 54 794 


0.45 206 


9 97 448 


33 






28 


9 52 278 


9 54 835 


41 


0.45 165 


9 97 444 


4 
5 
4 


32 
31 

30 






29 
30 


9 52 314 


9 54 875 


40 
40 

40 


0.45 125 


9 97 439 
9 97 435 






9 52 350 


954915 


0.45 085 


31 


9 52 385 


36 


9 54 955 


0.45 045 


9 97 430 


4 


29 
28 






32 


952 421 


9 54 995 




0.45 005 


9 97 426 




34 

3-4 
6.8 


33 
34 


9 52 456 
9.52 492 


35 
3^' 


9 55 035 
9 55 075 


40 
40 


0.44 965 
0.44 925 


9 97 421 
9 97 417 


5 
4 


2^ 
26 


I 


3-5 


35 


9 52 527 




955 "5 


40 


0.44 885 


9 97 412 




25 


3 ; 


10.5 


10.2 


36 


9 52 563 


35 
3f> 


9 55 155 


40 


0.44 845 


9 97 408 


5 


24 


4 


14.0 


13-6 


37 


9 52 598 


9 55 195 


40 


0.44 805 


9 97 403 


23 


S 
6 


17.5 


17.0 


38 


9 52 634 


9 55 235 


40 


0.44 765 


9 97 399 


. 


22 


7 


245 


23-8 


39 
40 

41 


9 52 669 


36 
35 


9 55 275 


40 
40 


0.44 72s 


9 97 394 


4 
5 


21 
20 
19 


8 


28.0 


27.2 
30.6 


9 52 705 


9 55 315 


0.44 685 


9 97 390 


9 315 


9.52 740 


9 55 355 


0.44 645 


9 97 385 


42 


9 52 775 


35 
3'> 


9 55 395 


40 


0.44 605 


9 97 381 


4 


18 






43 


9 52 811 


9 55 434 


39 


0.44 566 


9 97 376 


4 


17 






44 


9 52 846 




9 55 474 




0.44 526 


9 97 372 


16 






45 


9.52 881 


35 


9 55 514 


40 


0.44 486 


9 97 367 




lb 






46 


952 916 


3 5 


9 55 554 


40 
39 


0.44 446 


9 97 363 


5 


14 


5 


4 


47 


9-52 951 




9 55 593 




0.44 407 


9 97 358 




13 


I 


OS 


0.4 


48 


9 52 986 


.■>5 


9 55 633 


40 


0.44 367 


9 97 353 


4 
5 

4 


12 


2 


I.O 


0.8 


49 
50 


9 53 021 
9 53 056 


35 

^6 


9 55 673 
9 55 712 


39 
40 


0.44 327 


9 97 349 


11 
10 


3 
4 
S 
5 


1-5 
' 2.0 

2.S 

30 

3-5 


1.6 
2.0 

li 


0.44 288 


9 97 344 


51 


9 53 092 


34 


9 55 752 




0.44 248 


9 97 340 


5 


9 


7 


52 


9-53 126 


9 55 791 1 "M 0.44 209 


9 97 335 


8 


8 


4.0 


3.2 


53 


9 53 161 


3 5 


9-55 831 


^1^ 0.44 169 


9 97 331 


■; 


V 


9 1 45 


3.6 


54 


9 53 196 




9 55 870 


0.44 130 


9 97 326 


4 


6 






bb 


9 S3 231 


i.-i 


9 55 910 ^" 0.44 090 


9 97 322 


5 






b6 


9 53 266 


i5 


9 55 949 ;^o 0.44 051 


9 97 317 




4 






57 


9 53 301 




9 55 989 


0.44 Oil 


9 97 312 




3 






58 


9 53 336 


3 5 
34 
35 


9.56 028 


30 


0.43 972 


9 97 308 


5 
4 


2 






b9 


9 53 370 


9 56 067 




0.43 933 


9 97 303 


1 






60 


9 53 405 


9.56 107 


0.43 893 


9 97 299 













L Cos 


i ^ 


L Cot c d L Tan 


L Sin 


d 


t 


P P 



70 



(43) 



20' 



t 


L Sin 


d 


L Tan 


cd 


L Cot 


L Cos d 




P P 





9 53 405 


35 


956 107 


39 


0.43 893 


9 97 299 
9 97 294 ^ 


60 






1 


9-53 440 




9.56 146 


0.43 854 


59 






2 


9 53 475 




9 56 185 


39 


0.43 815 


9.97 289 5 


58 






3 


9 53 509 




956 224 


39 


0.43 776 


9 97 285 4 


57 






4 


9 53 544 




9.56 264 


40 


0.43 736 


9.97 280 


56 






5 


9 53 578 




9 56 303 


39 


0.43 697 


9.97 276 4 


55 






6 


9 53 613 


34 


9 56 342 


39 
39 


0.43 658 


9 97 271 , 5 


54 


40 


39 38 


7 


9 53 647 


35 


9 56 381 


0.43 619 


9.97 266 




53 


I 1 A.a 


3-9 3 8 


8 


9-53 682 


956 420 


39 


0.43 580 


9.97 262 


4 


52 


2 


S.o 


7.8 7.6 


9 


9 53 716 


35 


9 56 459 


39 
39 

39 


0.43 541 


9 97 257 


5 
5 

4 


51 


3 


12.0 
16.0 
20.0 
24.0 
28.0 


II. 7 11.4 
iS-6 15.2 
19-5 I9-0 
23.4 22.8 
27.3 26.6 


10 

11 


9-53 751 
9-53 785 


34 

34 
35 
34 


9.56 498 


0.43 502 


9 97 252 


50 

49 


S 
6 
7 


9 56 537 


0.43 463 


9 97 248 


12 


9 53 819 


956 576 


39 


0.43 424 


9.97 243 5 


48 


8 


32-0 


31.2 30.4 


13 


9-53 854 


956 615 


39 
39 


0.43 385 


9 97 238 


5 


47 


9 


36.0 


3S-I 34-2 


14 


9-53 888 




9 56 654 


0.43 346 


9 97 234 




46 






15 


9 53 922 


35 
34 


9 56 693 


39 


0.43 307 


9 97 229 


5 


45 






lb 
17 


9-53 957 
9 53 991 


9 56 732 
9.56 771 


39 
39 


0.43 268 
0.43 229 


9.97 224 j 5 
9.97 220 


44 
43 






18 


9 54 02s 




9.56 810 


39 


0.43 190 


9.97 215 ! 5 


42 






19 
20 
21 


9-54 059 
9-54 093 


34 

34 

34 
34 

34 


9.56 849 


39 
38 

39 


0.43 151 


9.97 210 


5 
4 

5 


41 
40 
39 


37 


35 

3-5 


9.56 887 


0.43 113 


9.97 206 


9-54 127 


9.56 926 


0.43 074 


9.97 201 


2 


3-7 
7.4 


22 


9 54 161 


9 56 965 


39 


0.43 035 


9.97 196 ^ 


38 


3 


II. I 


10.5 


23 
24 


9-54 195 
9 54 229 


9.57 004 
9.57 042 


38 


0.42 996 
0.42 958 


9-97 192 ^ 
9 97 187 ! 


37 
36 


4 
5 
6 


14.8 
18.5 
22.2 


14.0 
17-5 


25 


9-54 263 


34 
34 


9.57 081 


39 


0.42 919 


9.97 182 5 


35 


7 


259 


24-S 


26 
27 


9 54 297 
9 54 331 


9 57 120 
9-57 158 


39 
38 


0.42 880 
0.42 842 


9-97 178 , 4 
9 97 173 


34 
33 


8 
9 


29.6 
3i-i 


28.0 
31-5 


28 


9-54 365 


34 
34 

33 


9 57 197 


39 
38 
39 

38 


0.42 803 


9.97 168 ^ 


32 






29 
30 
31 


9 54 399 


9-57 235 


0.42 765 


9 97 163 


3 
4 

5 


31 
30 
29 






9-54 433 


9-57 274 


0.42 726 


9 97 159 


9.54 466 


957312 


0.42 688 


9 97 154 


32 


9-54 500 


34 
33 


9-57 351 


39 

38 
39 


0.42 649 


9.97 149 ^ 


28 






33 


9-54 534 


9 57 389 


0.42 6n 


9-97 145 ^ 


27 


34 


33 


34 
35 


9-54 567 
9 54 601 


34 
34 
33 

34 
33 
34 

33 

34 


9.57 428 
9 57 466 


38 
38 
39 
38 
38 
39 

3^ 

38 
38 
^8 


0.42 572 
0.42 534 


9.97 140 ' 
9-97 135 ^ 


26 
25 


I 
2 


3-4 
68 


5-i 
6.6 


36 


9 54 635 


9-57 504 


0.42 496 


9 97 130 1 ^ 


24 


3 


10.2 


9-9 


37 


9.54 668 


9 57 543 


0.42 457 


9 97 126 ! 


23 


4 


130 


13-2 

16.5 


38 


9.54 702 


9 57 581 


0.42 419 


9 97 121 ^ 


22 


6 


20.4 


19.8 


39 
40 

41 


9-54 735 


9 57 619 


0.42 381 


9 97 116 ^ ^ 


21 
20 

19 


7 
8 
9 


23.8 
27.2 
30.6 


231 
26.4 
29.7 


9 54 769 


9 57 658 


0.42 342 


997 III 




9.54 802 


9 57 696 


0.42 304 


9 97 107 I 




42 


9 54 836 


9-57 734 


0.42 266 


9.97 102 ^ 


18 






43 


9 54 869 


34 


9-57 772 


0.42 228 


9-97 097 ^ 


17 






44 


9 54 903 




9 57 810 




0.42 190 


9.97 092 


16 






45 


9 54 936 




9 57 849 


39 
38 

7?, 


0.42 151 


9.97 087 ^ 


15 






46 


9 54 969 


34 


9-57 887 


0.42 113 


9 97 083 


4 
5 


14 






47 


9 55 003 




9 57 925 


38 
38 
38 

38 

38 

7S 


0.42 075 


9.97 078 


13 


5 


4 


48 
49 

50 

51 
52 


9 55 036 
9-55 069 


33 
33 

34 

33 
33 
33 


9 57 963 
9.58 001 


0.42 037 
0.41 999 


9 97 073 
9.97 068 


5 
5 
5 

4 

5 


12 
11 

10 

9 

8 


1 

2 

3 
4 
5 
6 
7 


I °-5 

I.O 

IS 
2.0 

2.S 
30 

i-5 


0.4 
0.8 
1.2 
1.6 
2.0 
2.4 
2.8 


9 55 102 


9 58 039 

9.58 077 
958 115 


0.41 961 


9 97 063 


9 55 136 
9 55 169 


0.41 923 
0.41 885 


9 97 059 
9 97 054 


53 


9 55 202 


958 153 


38 


0.41 847 


9 97 049 


5 


V 


8 


4.0 


^l 


54 


9 55 235 


33 
33 
33 


9 58 191 


38 
38 

37 


0.41 809 


9.97 044 


6 


9 


4-S 


3-6 


55 


9 55 268 


9 58 229 


0.41 771 


9 97 039 




5 






56 


9 55 301 


958 267 


0.41 733 


9 97 035 


4 
S 


4 






57 


9 55 334 




9 58 304 


38 
38 
38 


0.41 696 


9 97 030 




3 






58 


9-55 367 




9 58 342 


0.41 658 


9.97 025 


5 


2 






59 
60 


9 55 400 


33 

33 ■ 


958 380 


0.41 620 


9.97 020 


3 
5 


1 







9-55 433 


9.58 418 


0.41 582 


9 97 015 




L Cos 


d 


LCot 


Cd 


LTan 


LSin 


d 


f 


P 


P 



(44) 



69 



21 



1 


L Sin 


d 


L Tan 


cd 


L Cot 


L Cos 


d 




P P 


o 

1 

2 
3 


9 


55 433 


33 

33 
33 


9 58 418 

9 58 455 
9 58 493 
958 531 


37 

38 
38 
38 

37 
38 
37 

3.S 
38 
37 

38 

37 
3S 
37 

37 
38 
37 
38 
37 
37 

37 

38 
37 
37 

37 
37 

38 


0.41 582 


9 97 015 


5 

5 
4 
5 

5 
5 


60 

59 
58 
57 






9 
9 
9 


55 466 
55 499 
55 532 


0.41 545 
0.41 507 
0.41 469 


9.97 010 
9 97 005 
9.97 001 


4 
5 
6 


9 
9 
9 


55 564 
55 597 
55 630 


33 
33 


9 S8 569 
9.58 606 
9.58 644 


0.41 431 
0.41 394 
0.41 356 


9 96 996 
9 96 991 
9.96 986 


56 
55 
54 






7 
8 
9 

10 

11 
12 
13 

14 
15 
16 


9 
9 
9^ 

9 


55 663 
55 695 
55728 


.5' 
33 
33 

32 

33 
32 
33 
32 
33 
32 

33 
32 
32 

33 

32 
32 
33 
32 
32 
32 

32 
32 
33 

32 

32 

32 
32 


9 58 68i 
9 58 719 
9 58 757 


0.41 319 
0.41 281 
0.41 243 


9.96 981 
9 96 976 
9.96971 


5 
5 
5 

4 

5 
5 
5 

5 
5 
5 

5 
S 
5 

5 

5 
4 


53 
52 
51 

50 

49 

48 
47 

46 
45 
44 


38 37 


36 

3-6 
7.2 
10.8 
14.4 
18.0 
21.6 
25.2 
28.8 
32.4 


55 761 


9.58 794 


0.41 206 


9.96 966 


I 
2 

3 
4 
5 
6 
7 
8 
9 


3-8 3-7 
7.6 7.4 
II. 4 II. I 
15.2 14.8 
19.0 18.5 
22.8 22.2 
26.6 25.9 
30.4 29.6 
34-2 33-3 


9 
9 
9 

9 
9 
9 


55 793 
55826 
55858 

55 891 
55 923 
55 956 


958 832 
9 58 869 
9.58 907 

9 S8 944 
9 58 981 
9 59 019 


0.41 168 
0.41 131 
0.41 093 

0.41 056 
0.41 019 
0.40 981 


9.96 962 
9 96 957 
9.96 952 

9 96 947 
9.96 942 
9 96 937 


17 
18 
19 

20 

21 
22 
23 


9 
9 
9 


55988 
56 021 
56053 


9 59 056 
9 59 094 
9 59 131 


0.40 944 
0.40 906 
0.40 869 


9 96 932 
9.96 927 
9.96 922 


43 
42 
41 

40 

39 

38 
37 






9 


56085 


9 59 168 


0.40 832 


9.96917 


9 
9 
9 


56 118 
56 150 
56 182 


9 59 205 
9 59 243 
9.59 280 


0.40 795 
0.40 757 
0.40 720 


9.96 912 
9.96 907 
9.96 903 


24 
25 
26 


9 
9 
9 


56 215 
56 247 
56 279 


959317 
9 59 354 
9 59 391 


0.40 683 
0.40 646 
0.40 609 


9.96 898 
9.96 893 
9.96 888 


5 
5 


36 
35 
34 


xt as 


31 


27 
28 
29 

30 

31 
32 
33 


9 
9 
9 


56 311 
56343 
56375 


9 59 429 
9 59 466 
9-59 503 


37 
37 
37 

37 

37 
37 
37 

37 
37 
37 

36 
37 
37 

37 

37 
3(> 
37 

37 
37 
36 

37 
37 
36 

37 

36 
37 


0.40 571 
0.40 534 
0.40 497 


9 96 883 
9.96 878 
9 96 873 


5 
5 
5 

5 

S 
5 
5 


33 
32 
31 

30 

29 
28 
27 


I 
2 
3 
4 
5 

6 
7 
8 
9 


3-3 3-2 
6.6 6.4 
9.9 9.6 
13.2 12.8 
16.5 16.0 
19.8 19.2 
23.1 22.4 
26.4 25.6 
29.7 28.8 


31 
6.2 

9-3 

12.4 
i.SS 
18.6 
21.7 
24.8 
27.9 


9 


56 408 


9 59 540 


0.40 460 


9.96 868 


9 
9 
9 


56440 
56472 
56 504 


9 59 577 
9 59 614 
9 59 651 


0.40 423 
0.40 386 
0.40 349 


9 96 863 
9 96 858 
9 96 853 


34 
35 
36 


9 
9 
9 


56 536 
56568 
56 599 


32 
31 
32 
32 
32 
32 

32 

31 
32 
3 2 


9 59 688 
9 59 725 
9 59 762 


0.40 312 
0.40 275 
0.40 238 


9.96 848 
9.96 843 
9 96 838 


5 
S 


26 
25 
24 






37 
38 
39 

40 

41 
42 
43 


9 
9 
9 

9 


56 631 
56663 
56 695 


9 59 799 
9 59 835 
9 59 872 


0.40 201 
0.40 165 
0.40 128 


9 96 833 
9.96 828 
9 96 823 


5 
5 
5 

5 

5 
5 
5 


23 
22 
21 

20 

19 

18 
17 






56727 


9 59 909 


0.40 091 


9.96 818 


9 
9 
9 


56 759 
56 790 
56822 


9 59 946 
9 59 983 
9.60 019 


0.40 054 
0.40 017 
0.39 981 


9 96 813 
9.96 808 
9.96 803 


44 
45 
46 

47 
48 
49 

50 

51 
52 
53 


9 
9 
9 

9 
9 
9 


56854 
56886 
56917 

56949 

56 980 

57 012 


32 
31 
32 

31 
32 
32 

31 

32 
31 
31 


9.60 056 
9 60 093 
9.60 130 

9.60 166 
9.60 203 
9.60 240 


0.39 944 
0.39 907 
0.39 870 

0.39 834 
0.39 797 
0.39 760 


9.96 798 
9 96 793 
9.96 788 

9.96 783 
9.96 778 
9.96 772 

9.96 767 


5 
5 
5 

5 
6 

5 

5 

5 
S 
5 


16 
15 
14 

13 
12 
11 

10 

9 
8 
7 


I 
2 
i 

4 

I 
7 
8 
9 


6 6 

0.6 0.5 
1.2 I.O 
1.8 1.5 
2.4 2.0 

3.0 2.S 

3-6 30 

4-2 35 
4.8 40 
5-4 4S 


4 

0.4 
0.8 
1.2 
1.6 
2.0 
2.4 
2.8 
3-2 
3-6 


9 


57 044 


9.60 276 


0.39 724 


9 
9 
9 


57 075 
57 107 
57 138 


9 60 313 
9.60 349 
9 60 386 


0.39 687 
0.39 651 
0.39 614 


9.96 762 
9 96 757 
9.96 752 


64 
55 
56 


9 
9 
9 


57 169 
57 201 
57 232 


32 
31 
52 


9.60 422 
9.60 459 
9.60 495 


37 
36 
37 


0.39 578 
0.39 541 
0.39 505 


9.96 747 
9 96 742 
9 96 737 


5 
,S 

s 


6 
5 
4 






57 
58 
69 

60 


9 
9 
9 


57 264 
57 295 
57 326 


31 
31 
32 


9 60 532 
9.60 568 
9.60 605 


36 
37 
36 


0.39 468 
0.39 432 
0.39 395 


9.96 732 
9.96 727 
9.96 722 


s 
s 

5 


3 
2 

1 








9 


57358 


9.60 641 


0.39 359 


9.96 717 




L Cos 


d 


L Cot 


Cd 


L Tan L Sin 

1 


d 


1 


P P 



68 



(45) 



22< 



1 


L Sin d 


L Tan 


cd 


L Cot 


L Cos d 




P 


P 


o 

1 


9-57 358 ,^ 
9 57 389 


9.60 641 
9.60 677 


36 


0.39 359 


9.96 717 


6 


60 

59 






0.39 323 


9.96 711 


2 


9 57 420 '-"^ 


9.60 714 


37 
36 
36 


0.39 286 


9.96 706 5 


58 






3 


9 57 451 ^1 


9.60 750 


0.39 250 


9.96 701 j 5 


57 






4 


9.57 482 '' ^ 


9.60 786 




0.39 214 


9.96 696 1 ^ 


56 






5 


9-57 514 ■'" 


9.60 823 


3 7 
36 


0.39 177 


9.96 691 i 5 


55 






6 


9-57 545 •]] 


9.60 859 


0.39 141 


9.96 686 5 


54 


37 


36 35 


7 


9 57 576 


1 ' 


9 60 895 


36 
36 
37 

36 

36 


0.39 105 


9.96 68i 




53 


I 




3.6 3.5 
7.2 7-0 


8 


9 57 607 


! -> ' 


9.60 931 


39 069 


9.96 676 


5 


52 


2 


7-4 


9 


9 57 638 


31 


9.60 967 


0.39 033 


9.96 670 


6 


51 


3 


II. I 

14.8 
18.5 
22.2 
25.9 


10.8 10. s 


10 

11 


9 57 669 


31 


9.61 004 


0.38 996 


9.96 665 


5 


50 

49 


4 
5 
6 
7 


14.4 14.0 
18.0 17.5 

21.6 2I.O 


9 57 700 


9.61 040 


0.38 960 


9.96 660 


12 


9-57 731 




9.61 076 


0.38 924 


9 96 655 


5 


48 


8 


29.6 


28.8 28.0 


13 


9 57 762 




9.61 112 


36 
36 
36 
^6 


0.38 888 


9.96 650 


5 


47 


9 


33-3 


32.4 31-5 


14 


9 57 793 




9.61 148 


0.38 852 


9 96 645 


46 






15 


9.57 824 


31 


9.61 184 


0.38 816 


9.96 640 5 


45 






16 


9-57 855 


31 


9.61 220 


0.38 780 


9.96 634 : ^ 


44 






17 


9-57 88s 




9.61 256 


36 
36 
36 

36 


0.38 744 


9.96 629 





43 






18 


9 57 916 




9.61 292 


0.38 708 


9.96 624 


3 


42 






19 
20 


9-57 947 


31 
30 


9.61 328 


0.38 672 
0.38 636 


9.96 619 


5 
5 
6 


41 
40 


33 


31 


9-57 978 


9.61 364 


9.96 614 


21 


9.58 008 




9.61 400 


36 

36 
36 

36 


0.38 600 


9.96 608 




39 


2 


6.., 


3.1 
6.2 


22 


9 58 039 




9.61 436 


0.38 564 


9.96 603 


5 


38 


3 


9.6 


9.3 


23 


9.58 070 -^" 


9.61 472 


0.38 528 


9.96 598 


5 


37 


4 


12.8 


12.4 


24 


9 58 loi 


' 


9.61 508 


0.38 492 


9 96 593 


5 


36 


5 
6 


16.0 
19.2 


iS-S 
i8.6 


25 


9 58 131 




9.61 544 


0.38 456 


9 96 588 


5 


35 


7 


22.4 


21.7 


26 


9.58 162 


31 
30 


9.61 579 


35 
S6 


0.38 421 


9 96 582 


6 
5 


34 


8 
9 


25.0 
?8 8 


24.8 
27.9 


27 


9 58 192 




9.61 615 


36 
36 
35 

36 

36 
36 


0.38 385 


9 96 577 




33 






28 


958 223 




9.61 651 


0.38 349 


9.96 572 


5 


32 






29 
30 
31 


958 253 


31 
30 


9.61 687 


0.38313 


9.96 567 
9.96 562 
9 96 556 


5 
5 

6 


31 
30 

29 






9 58 284 


9.61 722 


0.38 278 


958 314 


9.61 758 


0.38 242 


32 


958 345 




9.61 794 


0.38 206 


9 96 551 ^ 


28 






33 


958 375 


31 


9.61 830 


0.38 170 


9.96 546 


5 
5 
6 


27 


30 


29 


34 


9.58 406 




9.61 86s 


36 


0.38 135 


9.96 541 


26 


1 


3-0 


2.9 


35 


958 436 




9.61 901 


0.38 099 


9 96 535 


25 


2 


6.0 


5.8 


36 


9.58 467 




9.61 936 ■'^ 1 


0.38 064 


9 96 530 


3 


24 


3 


9.0 


8.7 










3" 










4 


12.0 


11.6 


37 


9 58 497 




9.61 972 


36 


0.38 028 


9 96 525 




23 


S 


15.0 


14.S 


38 


958 527 




9.62 008 


0.37 992 


9.96 520 


5 
6 
5 

5 

6 


22 


6 


18.0 


17.4 


39 


9 58 557 


31 


9.62 043 


35 
36 


0.37 957 


9.96 514 


21 


7 
8 


21.0 
24.0 
27.0 


20.3 
23.2 
26.1 


40 

41 


958 588 


30 

30 


9.62 079 


35 
36 


0.37 921 
0.37 886 


9.96 509 


20 

19 


9 


9.58 618 


9.62 114 


9.96 504 




42 


9 58 648 


9.62 150 


0.37 850 


9.96 498 


18 






43 


958 678 


31 


9.62 185 


35 
36 


0.37 815 


9 96 493 


5 
5 


17 






44 


9.58 709 




9.62 221 




0.37 779 


9.96 488 


16 






45 


9 58 739 




9.62 256 


35 
36 
35 


0.37 744 


9.96 483 


5 
6 
5 


15 






46 


9.58 769 


30 


9.62 292 


0.37 708 


9.96 477 


14 






47 


9 58 799 


30 
30 
30 

30 


9 62 327 




0.37 673 


9.96 472 


13 


6 


5 


48 


958 829 


9.62 362 


35 
36 
35 

35 


0.37 638 


9.96 467 


5 
6 

5 

5 


12 


I 


0.6 


OS 


49 
50 


9 S8 859 


962 398 
9 62 433 


0.37 602 


9.96 461 


11 
10 


2 

3 
4 


1.2 
1.8 
2.4 


I.O 

IS 
2.0 


958 889 


0.37 567 


9.96 456 


51 


9.58 919 


30 
30 
30 


9.62 468 




0.37 532 


9.96 451 


6 


9 


6 


^.6 


30 


52 


9 58 949 


9.62 504 ^" 


0.37 496 


9 96 445 


8 


7 


4.2 


35 


53 


9 58 979 


9 62 539 •^^ 


0.37 461 


9 96 440 


5 
5 


7 


8 
9 


4.H 
5-4 


4.0 
4-5 


54 


9 59 009 




9.62 574 


35 
36 
35 


0.37 426 


9 96 435 


6 


6 






55 


9 59 039 




9.62 609 


0.37 391 


9.96 429 


5 






56 


9 59 069 


29 


9.62 645 


0.37 355 


9.96 424 


5 
5 


4 






57 


9 59 098 




9.62 680 


35 


0.37 320 


9.96 419 


5 


3 






58 


9 59 128 




9.62 715 


0.37 285 


9.96 413 


5 
5 


2 






59 
60 


9 59 158 


30 


9.62 750 


35 


0.37 250 


9.96 408 


1 







9 59 188 


9 62 785 


0.37 215 


9.96 403 


L Cos 


d 


L Cot ' c d 


L Tan 


L Sin 


d 


/ 


P 


P 



(46) 



67 



23 



1 


L Sin 


d 


L Tan 


cd 


L Cot 


L Cos 


d 




P P 




1 


9 59 i88 
9 59 2i8 


30 


9 62 785 


35 


0.37 215 
0.37 180 


9 96 403 
9 96 397 





60 

59 






9 


62 820 


2 


9 59 247 


-y 


9 


62855 


35 


0.37 145 


9 96 392 


5 


58 






3 


9 59 277 


30 

^0 


9 


62 890 


35 


0.37 no 


9 96 387 


5 



57 






4 


9 59 307 


0^ 


9 


62 926 


^^^ 


0.37 074 


9 96 381 




56 






5 


9 59 336 


^0 


9 


62 961 


35 


0.37 039 


9.96 376 


5 
6 
5 


55 






6 


9 59 366 




9 


62 996 


35 
35 


0.37 004 


9 96 370 


54 






7 


9 59 396 


0^ 


9 


63 031 


0.36 969 


9 96 365 


53 






8 


9 59 425 


-Q 


9 


63 066 


35 


0.36 934 


9.96 360 


5 


52 






9 


9 59 455 


30 
2g 


9^ 


63 lOI 


35 
34 

35 


0.36 899 


9 96 354 



5 
6 


51 






10 

11 


9 59 484 
9 59 514 


30 


9 


63 135 


0.36 865 


9 96 349 


50 

49 


36 35 


34 

3-4 


9 


63 170 


0.36 830 


9 96 343 


I 


3-6 3-5 


12 


9 59 543 


2() 


9 


63 205 


3 5 


0.36 795 


9 96 338 


5 


48 


2 


7.2 7.0 


6.8 


13 


9 59 573 


30 

-y 


9 


63 240 


35 
35 


0.36 760 


9 96 333 


5 
6 


47 


3 
4 


10.8 lO-S 
14.4 14.0 


10.2 
13.6 


14 


9 59 602 




9 


63 275 




0.36 725 


9.96 327 




46 


5 


18.0 17.5 


17.0 


15 


9 59 632 


30 


9 


63 310 


35 


0.36 690 


9 96 322 


5 


45 


6 


21.6 21.0 


20.4 


16 


9.59 661 


-^9 

-9 


9 


63 345 


35 
34 


0.36 655 


9.96 316 


6 

5 


44 


7 
8 


25-2 24.5 
28.8 28.0 


23.8 
27.2 


17 


9 59 690 




9 


63 379 




0.36 621 


9.96 311 


6 


43 


9 


32.4 31S 


30.6 


18 


9 59 720 


30 


9 


63 414 


35 


0.36 586 


9 96 305 


42 






19 


9 59 749 


29 
30 


9 


63 449 


35 
35 

35 


0.36 551 


9 96 300 


5 
6 


41 






20 

21 


9 59 778 


9^ 


63 484 


0.36 516 


9.96 294 


5 


40 

39 






9.59 808 


9 


63 519 


0.36 481 


9.96 289 


22 


9-59 837 


29 


9 


63 553 


34 


0.36 447 


9.96 284 


5 


38 






23 


9 59 866 


-9 


9 


63 588 


35 


0.36 412 


9.96 278 


37 










29 






35 






5 








24 


9 59 895 




9 


63 623 




0.36 377 


9.96 273 


6 


36 






25 


9 59 924 


29 


9 


63 657 


34 


0.36 343 


9.96 267 


35 






26 


9 59 954 


;>o 


9 


63 692 


35 


0.36 308 


9.96 262 


5 
6 


34 






27 


9 59 983 


-'9 


9 


63 726 


34 


0.36 274 


9.96 256 


33 


30 29 


28 


28 


9.60 012 


29 


9 


63 761 


35 


0.36 239 


9 96 251 


5 


32 


I 


3.0 2.9 


2.8 


29 


9.60 041 


29 
29 


9 


63 796 


35 
34 

35 


0.36 204 


9 96 24s 


6 
5 
6 


31 


2 
3 


6.0 5-8 
9.0 8.7 


S.6 
8.4 


30 


9.60 070 


29 


9 


63 830 


0.36 170 


9.96 240 


30 


4 


12.0 11.6 
15.0 14-5 


II. 2 

14.0 
16.8 


31 


9.60 099 




9 


63165" 


0.36 135 


9.96 234 




29 


6 


18.0 17.4 


32 


9.60 128 


29 


9 


63 899 


34 


0.36 lOI 


9.96 229 


5 


28 


7 


21.0 20.3 


19.6 


33 


960 157 


29 
-9 


9 


63 934 


35 
34 


0.36 066 


9 96 223 


() 
5 


27 


8 
9 


24.0 23.2 
27.0 26.1 


22.4 
25.2 


34 


9.60 186 




9 


63 968 




0.36 032 


9.96 218 


6 


26 






35 


9.60 215 


29 


9 


64 003 


35 


0.35 997 


9.96 212 


25 






36 


9.60 244 


29 
29 


9 


64 037 


34 


0.35 963 


9.96 207 





24 






37 


9 60 273 


9 


64 072 


v>5 


0.35 928 


9.96 201 




23 






38 


9.60 302 


29 


9 


64 106 


34 


0.35 894 


9.96 196 


5 
6 


22 






39 


9 60 331 


29 
28 


9 


64 140 


34 
35 


0.35 860 


9.96 190 


21 






40 


9 60 359 


29 


9 


64 175 


34 


0.35 825 


9 96 185 


6 


20 






41 


9.60 388 




9 


64 209 




0.35 791 


9 96 179 




19 






42 


9.60 417 


29 


9 


64 243 


34 


0.35 757 


9 96 174 


5 
6 

6 


18 






43 


9.60 446 


29 

2,S 


9 


64 278 


35 
34 


0.35 722 


9.96 168 


17 


6 5 




44 


9.60 474 




9 


64 312 


0.35 688 


9 96 162 




16 


I 


0.6 0.5 




45 


9.60 503 


29 


9 


64 346 


34 


0.35 654 


9 96 157 


5 
6 

5 


15 


2 


1.2 I.O 
1.8 i.s 
2.4 2.0 




46 


9 60 532 


29 
29 


9 


64 381 


35 
34 


0.35 619 


9 96 151 


14 


3 

4 




47 


9 60 561 


jS 


9 


64 415 




0.35 585 


9.96 146 


6 


13 


s 


30 2.5 




48 


9 60 589 


9 


64 449 


34 


035 551 


9 96 140 


12 


6 


3.6 3.0 




49 
SO 
51 


9.60 618 
9.60 646 


29 
28 

29 


9 


64 483 


34 
34 

35 


0.35 517 


9 96 135 


5 
6 




11 

(O 

9 


7 

I 


4.2 3-S 
4.8 4.0 

5-4 4-5 




9 


64 517 


0.35 483 
0.35 448 


9.96 129 
9.66 123 


9.60 675 


9 


64 552 




52 


9.60 704 


29 

2() 


9 


64 586 


34 


0.35 414 


996 118 


5 


8 






53 


9 60 732 


9 


64 620 


34 
34 


0.35 380 


9.96 112 


() 
5 


7 






54 


9 60 761 


28 


9 


64 654 


0.35 346 


9.96 107 


6 

6 


6 






55 


9 60 789 


9 


64688 


34 


0.35 312 


9 96 lOI 


5 






56 


9 60 818 


29 
28 


9 


64 722 


34 
34 


0.35 278 


9.96 095 


4 






57 


9 60 846 




9 


64 756 


0.35 244 


9 96 090 




3 






58 


9 60 875 


29 

28 
28 


9 


64 790 


34 


0.35 210 


9.96 084 


' 


2 






59 
60 


9 60 903 
9 60 931 


9_ 


64 824 


34 
34 


35 176 
35 142 


9.96 079 


5 
6 


1 







9 


64 858 


9.96 073 




L Cos 


d 


LCot 


Cd 


LTan 


LSin 


d 


1 


P P 1 



66 



(■tT) 



24' 



L Sin 



10 

11 
12 
13 

14 
15 
16 

17 
18 
19 

20 

21 
22 
23 

24 
25 
26 

27 
28 
29 

30 

31 
32 
33 

34 
35 
36 

37 
38 
39 

40 

41 
42 
43 

44 
45 
46 

47 
48 
49 

50 

51 
52 
53 

54 
55 
56 

57 
58 
59 

60 



O 9 6o 931 

1 
2 
3 

4 
5 
6 

7 
8 
9 



9.60 960 

9.60 988 

9.61 016 

9.61 045 
9.61 073 
9.61 lOI 

9.61 129 
9.61 158 
9.61 186 



9.61 214 

9.61 242 
9.61 270 
9.61 298 

9.61 326 
9 61 354 
9-6i 382 

9.61 411 
9.61 438 
9.61 466 



9.61 494 



9.61 522 
9 61 550 
9.61 578 

9.61 606 
9.61 634 
9.61 662 

9.61 689 
9.61 717 
9-6i 745 



9.61 773 



9.61 800 
9.61 828 
9.61 856 

9 61 883 
9.61 911 
9.61 939 

9.61 966 

9.61 994 

9.62 021 



9.62 049 



.62 076 
.62 104 
62 131 

.62 159 
.62 186 
62 214 

.62 241 
.62 268 
62 296 



9 62 323 



9 62 350 
9.62 377 
9.62 405 

9.62 432 
9.62 459 
9.62 486 

9 62 513 
9.62 541 
9.62 568 

9 62 595 



L Cos 



28 



28 



2,S 9 
-'7 9 

-'7 



L Tan 
9 64 858 



cd L Cot 



9.64 892 
9.64 926 
9.64 960 

9.64 994 

9.65 028 ^^ 
9.65 062 -^^ 

9.65 096 

9 65 130 -'-* 

965 164 •^^ 

28 9 ^5 197 3^ 



9.65 231 j 

'[^ 9.65 265 -^4 

o 965 299 -^^ 

905 333 I _ 
9.65 366 •^■5 
9.65 400 34 
, I 34 
9 65 434 _ 
9.65 467 ^^ 
965 501 •54 
34 



27 

27 ^ 



9 65 535 



9.66 204 



9.66 470 

9-66 503 



9 66 537 



9.66 570 
9.66 603 
9.66 636 

9.66 669 
9 66 702 
66 735 

.66 768 
.66 801 
.66 834 



.66 867 



32, 

965568 

9.65 602 I 34 

9 65 636 34 
9.65 669 

9.65 703 34 

9 65 736 -5^ 

c 34 

,0 965 770 ,, 

:o 9 65 803 I ^^ 

ll 9.65 837 ^f 

■65 870 i 

34 



65 904 _ 

.65 937 3-^ 

•65 971 ■^^ 
. , 33 

o 9.66 004 I 

^\ 9-66 038 -^f 
9.66 071 ^^ 

o 9.66 104 

, 9.66138 34 
' 9.66 171 -^^ 



34 

33 
33 
33 

34 



9.66 238 
9.66 271 
9.66 304 

9 66 3^ 
9.66371 -■ 
9.66 404 3^ 

?^f437 ^^ 

33 
34 

33 



0-35 142 
0.35 108 
0.35 074 
0.35 040 

0.35 006 
0.34 972 
0.34 938 
0.34 904 
0.34 870 
0.34 836 



0.34 803 



0.34 769 
0.34 735 
0.34 701 

0.34 667 
0.34 634 
0.34 600 

0.34 566 
0.34 533 
0.34 499 



L Cos 
9.96 073 



9.96 067 
9.96 062 
9.96 056 

9.96 050 
9.96 045 
9.96 039 

9.96 034 
9 96 028 
9.96 022 



9.96 017 



0.34 465 



0.34 432 
0.34 398 
0.34 364 

34 331 
0.34 297 
0.34 264 

0.34 230 
0.34 197 
0.34 163 



0.34 130 



0.34 096 
0.34 063 
0.34 029 

0.33 996 
0.33 962 
0.33 929 
0.33 896 
0.33 862 
0.33 829 



9.96 on 
9.96 005 
9.96 000 

9 95 994 
9 95 988 
9 95 982 

9 95 977 
9 95 971 
9 95 965 



9 95 960 



9 95 954 
9 95 948 
9 95 942 

9 95 937 
9 95 931 
9 95 925 
9 95 920 
9 95 914 
9 95 908 



9 95 902 



0.33 796 



0.33 762 
0.33 729 
o 33 696 

0.33 663 
0.33 629 
0.33 596 

0.33 563 
0.33 530 
0.33 497 



0.33 463 



0.33 430 
o 33 397 
0.33 364 

0.33 331 
0.33 298 
0.33 265 
0.33 232 
0.33 199 
0.33 166 



0.33 133 



L Cot cd L Tan 



9 95 897 
9 95 891 
9 95 885 

9 95 879 
9 95 873 
9 95 868 
9.95 862 
9 95 856 
9 95 850 



9 95 844 



9 95 839 
9 95 833 
9 95 827 
9 95 821 
9 95 815 
9 95 810 
9 95 804 
9 95 798 
9 95 792 



9 95 786 



9 95 780 
9 95 775 
9 95 769 

9 95 763 
9 95 757 
9 95 751 

9 95 745 
9 95 739 
9 95 733 



9 95 728 



60 

59 

58 
57 

56 
55 
54 

53 
52 
51 

50 

49 
48 
47 

46 
45 
44 

43 
42 
41 

40 

39 
38 
37 

36 
35 
34 

33 
32 
31 

30 

29 
28 
27 

26 
25 
24 

23 
22 
21 

20 

19 

18 
17 

16 
15 
14 

13 
12 
11 

10 

9 

8 
7 

6 
5 

4 

3 
2 
1 



P P 



34 

3-4 
6.8 
10.2 
13-6 
17.0 
20.4 
23.8 
27.2 
30.6 



33 

3-3 
6.6 
9.9 
132 
16.S 
19.8 
23-1 
26.4 
29.7 



29 

2.9 
5-8 
8.7 
11.6 
I4S 
17.4 
20.3 
23.2 
26.1 



28 

2.8 
5-6 
8.4 
II. 2 
14.0 
16.8 
19.6 
22.4 
25.2 



27 

2-7 
5-4 
8.1 
10.8 
13-5 
16.2 
18.9 
21.6 
243 



6 

0.6 
1.2 
1.8 
2.4 
30 
3-6 
4.2 
4.8 
S-4 



o-S 
i.o 
i-S 
2.0 

2-S 
30 

35 
4.0 
45 



L Sin 



P P 



(48) 



65 



25 



f 


L Sin 


Id 


L Tan c d 


L Cot 


L Cos 


d 




P 


P 





9 62 595 


27 


9.66867 


33 133 


995^2^ 


6 


60 






1 


g 62 622 


9 66 900 


0.33 100 


9 95 722 




59 






2 


9 62 649 


-" 


9.66 933 -5-5 


0.33 067 


9 95 716 


6 


58 
57 






3 


9.62 676 


-^7 


9.66 966 ■'^ 


0.33 034 


9 95 710 









4 


9 62 703 


^7 


9 66 999 [ 


0.33 001 


9 95 704 


6 


56 






5 


9 62 730 


-7 


9 67 032 -5 5 


0.32 968 


9 95 698 




6 
6 
6 
6 


55 
54 






6 


9 62 757 


-'7 


9.67 065 ' ? 


0.32 935 


9 95 692 






7 


9.62 784 


2 7 


9.67 098 


o-i 


0.32 902 


9 95 686 


53 
52 






8 


9.62 811 


27 


9.67 131 


3.5 


0.32 869 


9.95 680 






9 


9.62 838 


27 

27 

27 


967 163 


32 
33 

33 


0.32 837 


9 95 674 


51 


i3 


n 


10 


9.62 865 


9.67 196 


0.32 804 


9.95 668 


5 

6 
6 
6 


50 


I 
2 


' 6.6 


3-2 

6.4 
9.6 


11 


9.62 892 


9.67 229 


0.32 771 


9 95 663 


49 


3 


9-9 


12 


9 62 918 


26 


9.67 262 


33 


0.32 738 


9 95 657 


48 


4 


13-2 


12.8 


13 


9.62 945 


27 
27 


9.67 295 


33 
32 


0.32 705 


9 95 651 


47 


5 
6 


16.S 
19.8 


16.0 
19.2 


14 


9.62 972 




9.67 327 




0.32 673 


9 95 645 


6 
6 
6 

6 
6 
6 

6 

6 
6 
6 


46 


7 


23.1 


22.4 


15 


9.62 999 


-7 


9 67 360 


33 


0.32 640 


9 95 639 


45 


8 


26.4 


2S.6 


16 
17 


9.63 026 
9 63 052 


20 


9 67 393 
9 67 426 


33 
33 


0.32 607 
0.32 574 


9 95 633 
9 95 627 


44 
43 


9 1 29-7 


28.8 


18 


9.63 079 


27 


9.67 458 


32 


0.32 542 


9 95 621 


42 






19 
20 
21 


9.63 106 


27 
27 

26 


9.67 491 


33 
33 

32 


0.32 509 


9 95 615 


41 
40 
39 






9 63 133 
9 63 159 


9.67 524 


0.32 476 


9 95 609 


9 67 556 


0.32 444 


9 95 603 


22 


9.63 186 


27 


9 67 589 


33 


0.32 411 


9 95 597 


38 






23 


9 63 213 


27 
26 


9.67 622 


3.5 


0.32 378 


9 95 591 


37 






24 


9 63 239 




9.67 654 


0- 


0.32 346 


9 95 585 


6 
6 
6 

6 
6 
6 

6 

6 
6 
6 


36 
35 
34 






25 


9.63 266 


27 


9.67 687 


33 


0.32 313 


9 95 579 






26 


9 63 292 


26 


9.67 719 


32 


0.32 281 


9 95 573 






27 


9 63 319 


27 
26 


9.67 752 


33 


0.32 248 


9 95 567 


33 


27 


26 


28 


9 63 345 


9.67 785 


33 


0.32 215 


9 95 561 


32 


I 


2.7 


2.6 


29 
30 
31 


9 63 372 


27 

26 
27 

26 
27 

2t> 


9.67 817 


32 
33 

32 


0.32 183 


9 95 555 


31 

30 

29 
28 
27 

26 
25 
24 


2 
3 
4 
S 
6 


5-4 
8.1 
10.8 
13 5 
16.2 


S-2 

7.8 

10.4 

13.0 

15-6 


9 63 398 

9 63 425 


9 67 850 


0.32 150 


9 95 549 


9.67 882 


0.32 118 


9 95 543 


32 
33 


9 63 451 
9.63 478 


9.67 915 
9.67 947 


33 
32 
33 


0.32 085 
0.32 053 


9 95 537 
9 95 531 


7 
8 
9 


18.9 
21.6 

243 


18.2 
20.8 
234 


34 


9 63 504 




9.67 980 




0.32 020 


9 95 525 


6 
6 







35 


9 63 531 


27 


9.68 012 


32 


0.31 988 


9 95 519 






36 


9 63 557 


2'-) 
26 


9.68 044 


32 
33 


0.31 956 


9 95 513 






37 


9 63 583 




9.68 077 


0.31 923 


9 95 507 




23 
22 
21 

20 

19 






38 


9.63 610 


27 
26 
20 

27 

26 
2O 
26 


9.68 109 


32 


0.31 891 


9 95 500 


7 
6 
6 

6 

6 







39 
40 

41 


9 63 636 


9.68 142 


33 
32 

32 


0.31 858 


9 95 494 






9.63 662 
9 63 689 


9.68 174 


0.31 826 


9 95 488 


9.68 206 


0.31 794 


9 95 482 


42 


9 63 715 


9.68 239 


33 


0.31 761 


9 95 476 


18 
17 






43 


9 63 741 


9.68 271 


32 
32 


0.31 729 


9 95 470 









44 


9 63 767 




9.68 303 


0.31 697 


9 95 464 


5 


16 
15 
14 


7 


6 5 


45 


9 63 794 


27 
2O 
2O 


9 68 336 


33 


0.31 664 


9 95 458 


(y 




0.6 0.5 

1.2 I.O 


46 


9.63 820 


9.68 368 


32 


0.31 632 


9 95 452 





I 
2 


1.4 


47 


9 63 846 


26 
2O 
20 

26 

26 
^0 


9.68 400 


0.31 600 


9 95 446 


5 


13 


3 1 


2.1 


1.8 1.5 


48 


9 63 872 


9-68 432 


32 


0.31 568 


9 95 440 


5 


12 


4 1 


2.8 


2.4 2.0 


49 
50 

51 


9.63 898 


9.68 465 
9 68 497 


33 
32 

32 


0.31 535 


9 95 434 


7 
6 
6 


11 

10 

9 
8 
7 


61 
7 
8 
9 


3-S 

4.2 
4.9 

S-6 
6.3 


30 2.S 
3.6 3.0 

4-2 3S 
4.8 4.0 
S-4 4-5 


9.63 924 


0.31 503 


9 95 427 


9 63 950 


9 68 529 


0.31 471 


9 95 421 


52 


9.63 976 


9.68 561 


32 


0.31 439 


9 95 415 


6 






53 


9.64 002 


2 


9 68 593 


32 
33 


0.31 407 


9 95 409 


6 






54 


9.64 028 


2O 


9.68 626 




0.31 374 


9 95 403 


6 


6 
5 
4 






55 


9.64 054 


9.68 658 


32 


0.31 342 


9 95 397 


6 






56 


9.64 080 


2O 


9.68 690 


32 
3 2 


0.31 310 


9 95 391 


7 






57 


9 64 106 


26 
26 
2 


9.68 722 




0.31 278 


9 95 384 





3 
2 

1 








58 


9 64 132 


9 68 754 


52 


0.31 246 


9 95 378 


6 






59 
60 


9 64 158 


9 68 786 


,5 2 
32 


0.31 214 


9 95 372 


6 






9.64 184 


9.68 818 


0.31 182 


9 95 366 




L Cos 


d 


L Cot 


cd 


LTan 


L Sin 


d 


1 


P 


P 



64' 



(49) 



26 



' L Sin d 


L Tan 


cd 


L Cot 


L Cos 


d 




P P 


O 9-64 184 


1 
- 26 


9.68 818 


- 32 


0.31 182 


9-95 366 


1 6 


60 

59 


) 


1 9.64 210 


9 68 850 


0.31 150 


9 95 360 


2 9 64 236 :'" 

3 9 64 262 -'0 


9.68 882 


J>2 


0.31 118 


9-95 354 ^ 


58 




9.68 914 


32 

32 


0.31 086 


9 95 348 6 


57 




4 9 64 288 




9.68 946 


0.31 054 


9 95 341 


56 




5 9 64 313 


-5 
26 


9 68 978 


32 


0.31 022 


9 95 335 ^ 


55 




6 9 64 339 


9.69 010 


32 
32 


0.30 990 


9 95 329 ° 
9 95 323 , 


54 




7 9 64 365 


26 
2b 

\ '^ 
26 

'6 


9.69 042 


0.30 958 


53 




8 9 64 391 


9.69 074 


32 


0.30 926 


9-95 317 


52 




9 9.64 417 


9.69 106 


32 
32 

32 


0.30 894 
0.30 862 


9 95 310 I 


51 
50 

49 


38 31 


10 9 64 442 


9 69 138 


9 95 304 


! 6 


11 9.64 468 


9.69 170 


0.30 830 


9 95 298 


I 


3-2 3.1 


12 9 64 494 




9.69 202 


' 32 


0.30 798 


9 95 292 ° 


48 


3 




13 9 64 519 


26 


9 69 234 


32 
32 


0.30 766 


9 95 286 1 6 


47 


4 


12.8 12.4 


14 9 64 545 


■>(, 


9.69 266 


0.30 734 


9-95 279 . 


46 


5 
6 


16.0 15.5 


15 9 64 571 




9 69 298 




0.30 702 


9-95 273 ° 


45 


7 


22.4 21.7 


16 9 64 596 


2b 


9 69 329 


31 


0.30 671 


9 95 267 t ° 


44 


8 


25.6 24.8 


17 9 64 622 




969 361 




0.30 639 


9.95 261 




43 


9 


28.8 27.9 


18 9.64 647 




9 69 393 


32 


0.30 607 


9 95 254 


7 


42 




19 9 64 673 


25 
26 


9 69 425 
9 69 457 


32 
32 

31 


0.30 575 


9 95 248 


6 
1 6 


41 
40 

39 




20 9 64 698 


0.30 543 


9 95 242 


21 9 64 724 


9 69 488 


0.30 512 


9 95 236 


22 9 64 749 


^6 


9 69 520 


32 


0.30 480 


9 95 229 


; 

6 
6 


38 




23 9 64 775 




9 69 552 


32 
32 


0.30 448 


9 95 223 


37 




24 9 64 800 




9 69 584 


0.30 416 


9 95 217 


36 




25 9.64 826 


'- 


9.69 615 


31 


0.30 385 


9 95 211 




35 




26 9 64 851 


7b 


9 69 647 


32 


0.30 353 


9 95 204 


6 
6 


34 




27 9 64 877 




9.69 679 




0.30 321 


9 95 198 


33 


26 25 24 


28 9.64 902 




9.69 710 


31 


0.30 290 


9 95 192 


32 


I 


2.6 2.5 2.4 


29 9 64 927 


26 

25 


9 69 742 


32 
32 

31 


0.30 258 


9 95 185 
9 95 179 


/ 
6 

6 

6 


31 
30 

29 


2 
3 
4 
5 
6 


5-2 so 4.8 

7.8 7-5 7.2 

10.4 lo.o g.6 

13.0 12.5 12.0 

iS-6 15.0 14.4 


30 9 64 953 


9.69 774 


0.30 226 


31 9 64 978 


9.69 805 


030 195 


9 95 173 


32 9.65 003 




9.69 837 


o2 


0.30 163 


9 95 167 


28 


7 


18.2 17.5 16.8 


33 9 65 029 




9.69 868 




0.30 132 


9-95 160 


6 


•HI 


8 


20.8 20.0 19.2 


34 9 65 054 




9.69 900 


32 


0.30 100 


995 154 


9S 


Q 23.4 22.5 21.6 


35 9 65 079 




9 69 932 




0.30 068 


9.95 148 


25 




36 9 65 104 


26 


9.69 963 


31 


0.30 037 


9 95 141 


1 
6 


24 




37 9 65 130 


^ _ 


9 69 995 




0.30 005 


9 95 135 


6 


23 




38 9 65 155 




9.70 026 




0.29 974 


9 95 129 


22 




39 9 65 180 


■25 
-5 


9 70 058 
9.70 089 


32 
31 

32 


0.29 942 


9 95 122 


6 
6 


21 
20 

19 




40 965 205 

41 9 65 230 


0.29 911 


995 "6 


9.70 121 


0.29 879 


9-95 1 10 


42 9 65 255 


^6 


9 70 152 




0.29 848 


9 95 103 


6 
7 
6 
6 
7 


18 




43 9 65 281 




9.70 184 




0.29 816 


9 95 097 


17 




44 9.65 306 


2 s 


9.70 215 


32 


0.29 785 


9 95 090 


16 


7 6 


45 9 65 331 




9.70 247 


29 753 


9.95 084 


15 


I 


0.7 0.0 


46 9 65 356 


2S 


970 278 


31 


0.29 722 


9 95 078 


14 


3 


1.4 1.2 
2.1 1.8 


47 965381 ,. 

48 9.65 406 ;^ 


9.70 309 
9 70 341 


32 I 


0.29 691 
0.29 659 


9 95 071 
9 95 065 


6 
6 
7 
6 


13 
12 


4 
5 
6 
7 
8 



2.8 2.4 
3-5 30 


49 9 65 431 ;^ 


9 70 372 


32 
M 


0.29 628 


9 95 059 


11 

10 

9 


4-2 3-6 
4-9 4-2 
S.6 4-8 

fi J C A 


50 9 65 456 


25 


9.70 404 ) 


0.29 596 


9 95 052 


51 9.65 481 


9-70 435 „ 


0.29 565 


9 95 046 




52 9.65 506 ^-i 


9.70466 'll 


29 534 


9 95 039 


6 

6 


a 




53 9 65 531 ,5 


9.70 498 j -^j 


0.29 502 


9 95 033 


7 




54 9 65 556 , , 

55 9 65 580 ;: 


970 529 i ,, 
9.70 560 i^ 


0.29 471 
0.29 440 


9 95 027 
9.95 020 


7 
6 
7 


6 
5 




56 9.65 605 ,] 


9.70 592 -^^ 


29 408 


9 95 014 1 


4 




57 9.65 630 ,. 


970623 


0.29 377 


9 95 007 


6 
6 
7 


3 




58 9 65 655 ;i 


9.70 654 ^, 


0.29 346 


9.95 001 


2 




59 9.6s 680 ;f 
60 9 65 705 


9.70 685 


32 - 


29 315 


9 94 995 


1 





9.70 717 I 


0.29 283 


9 94 988 


L Cos 


d 


L Cot c d 1 L Tan 


L Sin d 


t 


p p 



(50) 



63 



27" 



1 
2 
3 

4 
5 
6 

7 
8 
9 

10 

11 
12 
13 

14 
15 
16 

17 
18 
19 

20 



21 


Q 


22 





23 


9 


24 


9 


25 


9 


26 


9 


27 


9 


28 


9 


29 


9 



30 

31 
32 
33 

34 
35 
36 

37 
38 
39 

40 

41 
42 
43 

44 
45 
46 

47 
48 
49 

50 

51 
52 
53 

54 
55 
56 

57 
58 
59 

60 



L Sin 



9 65 705 

65 729 
65 754 
65 779 

65 804 
65 828 
65853 
65878 
65 902 
65 927 



65 952 



65 976 

66 001 
66 025 

66 050 
66 075 
66 099 

CiC 124 
66 148 
66 173 



66 197 



.66 221 
66 246 
66 270 

66 295 
66 319 
66 343 

.66 368 
.66 392 
.66 416 

.66 441 



66 465 
66 489 
66 513 

66 537 
66 562 
66 586 

66 610 
66 634 
66 658 

66682 

66 706 
66 731 
66 755 
66 779 
66 803 
66827 

66851 
66875 
66 899 

66 922 

66 946 
66 970 

66 994 

67 018 
67 042 
67 066 

67 090 
67 113 
67 137 
67 161 

L Cos 



2A 



-, 24 



L Tan cd L Cot 



.70 717 

.70 748 
.70 779 
70 810 

.70 841 
70 873 
.70 904 



9.71 028 



339 



7 1 955 

986 

.72 017 
.72 048 

.72 078 
.72 109 
.72 140 

.72 170 
.72 201 

72 231 

.72 262 



72 567 



30 



.29 283 



29 159 
.29 127 
.29 096 

.29 065 
29 034 
.29 003 



.28 972 



.28 941 
.28 910 
.28 879 

.28 847 
.28 816 
.28 785 

•28 754 
.28 723 
.28 692 



0.28 66i 



.28 630 
.28 599 
.28 569 

.28 538 
.28 507 
.28 476 

• 28 445 
.28 414 
.28 383 



0.28 352 



.28 321 
.28 291 
.28 260 

.28 229 
.28 198 
.28 167 

.28 137 
.28 106 
.28 075 



.28 045 



0.28 014 
0.27 983 
0.27 952 

0.27 922 
0.27 891 
0.27 860 

0.27 830 
0.27 799 
0.27 769 

^.27-738^ 

0.27 707 
0.27 677 
0.27 646 

0.27 616 
0.27 585 
0.27 555 



0.27 433 



L Cot cd L Tan 



L Cos 



9 94 988 

9 94 982 
9 94 975 
9 94 969 
9 94 962 
9 94 956 
9 94 949 

9 94 943 
9 94 936 
9 94 930 



9 94 923 



9 94 917 
9 94 911 
9 94 904 
9 94 898 
9 94 891 
9 94 885 
9 94 878 
9 94 871 
9 94 865 



9 94 858 

9 94 852 
9 94 845 
9 94 839 

9 94 832 
9.94 826 
9 94 819 

9 94 813 
9 94 806 
9 94 799 



9 94 793 



9 94 786 
9 94 780 
9 94 773 

9 94 767 
9 94 760 
9 94 753 

9 94 747 
9 94 740 
9 94 734 



9 94 727 



9 94 720 
9 94 714 
9 94 707 
9 94 700 
9 94 694 
9 94 687 
9.94 680 
9 94 674 
9 94 667^ 

9 94 660 

9 94 654 
9 94 647 
9 94 640 
9 94 634 
9 94 627 
9.94 620 

9 94 614 
9 94 607 
9 94 600 

9 94 593 



L Sin 



60 

59 
58 
57 

56 
55 
54 

53 
52 
51 

50 

49 
48 
47 

46 
45 
44 

43 
42 
41 

40 

39 
38 
37 

36 
35 
34 

33 
32 
31 

30 

29 
28 
27 

26 
25 
24 

23 
22 
21 

20 

19 
18 
17 

16 
15 
14 

13 
12 
11 

fO 

9 
8 
7 

6 
5 
4 

3 
2 
1 

O 



62 



P P 



32 



31 



35 

2-5 

so 
7-5 

lO.O 
12-5 

150 
17s 

20.0 

22.5 



24 

2.4 
4.8 
7-2 

9.6 

12.0 

14.4 
16.8 
19.2 

21.6 



30 



I 

2 


3-2 

6.4 


31 
6.2 


30 
6.0 


3 
4 


9.6 
12.8 


9-3 

12.4 


9.0 
12.0 


5 
6 


16.0 
19.2 


15-5 
18.6 


ISO 
18.0 


7 
8 
9 


22.4 
2S.6 
28.8 


21.7 
24.8 
27.9 


21.0 
24.0 
27.0 



23 

2.3 
4.6 
6.9 
9.2 
II-S 

13.8 
I6.I 
18.4 
20.7 





7 


6 


I 


0.7 


0.6 


2 
3 


1-4 
2.1 


1.2 
1.3 


4 


2.8 


2.4 


5 
6 


3-S 
4.2 


3.0 
3.6 


7 
8 


4.9 
5.6 


4-2 

4.8 


9 


6.3 


5-4 



p p 



(51) 



28 



t 


L Sin 


d 


L Tan 


cd L Cot 


L Cos d 




P P 


» 




1 


0.67 161 1 

1 24 

9 67 185 


9.72 567 


31 


jO-27 433 


9 94 593 


j 5 


60 

59 






9.72 598 


■ 0.27 402 


9 94 587 






2 


9.67 208 -5 


9.72 628 


30 


0.27 372 


9 94 580 


7 


58 






3 


9.67 232 ^4 


9.72 659 


i[ 1 0.27 341 


9 94 573 


7 
6 


57 






4 


9.67 256 


9.72 689 


30 I 

,, 027 311 


9 94 567 


56 






5 


9.67 280 ^4 


9.72 720 


31 


0.27 280 


9 94 560 


7 


55 






6 


9 67 303 ;^ 
967 327 "^ 


9.72 750 


30 
30 


0.27 250 


9 94 553 ^ 
9 94 546 , 


54 






7 


9.72 780 


0.27 220 


53 






8 


9 67 350 2-5 


9.72 811 


31 


0.27 189 


9.94 540 ° 


52 






9 


9 67 374 ^^ 


9 72 841 


30 
31 
30 


0.27 159 


9 94 533 1 ^ 


51 






10 


9.67398 ^^ 


9.72 872 


0.27 128 


9 94 526 ^ 


50 


I 


<ii an 09 

3.1 3.0 2.Q 

6.2 6.0 5.8 




11 


9.67 421 


9.72 902 


i 0.27 098 


9 94 519 ^ 


49 


2 




12 


9.67 445 24 


9.72 932 


3° 0.27 068 


9 94 513 


48 


3 


9-3 9.0 8.7 




13 


9.67 468 2j 


9.72 963 


^Q 0.27 037 


9 94 506 7 


47 


4 
S 


12.4 12.0 II. 6 

15. 5 15.0 14-5 




14 


9.67 492 


9 72 993 


0.27 007 


9 94 499 , 


46 


6 


18.6 iS.o 17.4 




15 


9 67 515 ^-^ 


9 73 023 


■5° 0.26 977 


9.94 492 ' 


45 


7 


21.7 21.0 20.3 




16 


9 67 539 


^4 
23 


9 73 054 


31 
30 


0.26 946 


9 94 485 I 


44 


8 
9 


24.8 24.0 23.2 
27.0 27.0 26.1 




17 


9 67 562 




9.73 084 




0.26 916 


9.94 479 




43 






18 
19 

20 

21 


9 67 586 


24 


9 73 114 


30 


0.26 886 


9.94 472 


7 


42 






9.67 609 


23 
24 

23 


9-73 144 


30 
31 

30 


0.26 856 


9 94 465 


7 
7 

7 


41 
40 

39 






9 67 633 


9 73 175 


0.26 825 


9 94 458 




9.67 656 


9-73 205 


0.26 795 


9 94 451 




22 


9.67 680 


24 


9 73 235 


30 


0.26 76s 


9.94 445 


6 


38 






23 


9.67 703 


23 

7 i 


9 73 265 


30 
30 


0.26 735 


9 94 438 


7 
7 


37 






24 


9.67 726 1 '"^ 


9 73 295 


0.26 705 


9 94 431 


36 






25 


967 750 24 


9 73 326 


31 


0.26 674 


9.94 424 7 


35 






26 


9 67 773 , ;-J 


9 73 356 


30 


0.26 644 


9 94 417 ^ 


34 






27 


9.67 796 


'■0 


9 73 386 


30 


0.26 614 


9.94 410 


33 


24 23 23 




28 


9.67 820 


24 


9 73 416 


\l 0.26584 


9.94 404 


32 


I 


2.4 2.3 2.2 




29 


9.67 843 


23 
23 


9 73 446 


30 
30 


0.26 554 


9 94 397 ^ 


31 


2 
3 


4-8 4.6 4.4 
7.2 6.9 6.6 




30 


9.67 866 


24 


9 73 476 


31 


0.26 524 


9 94 390 


30 


4 
S 
6 


9.6 9.2 8.8 




31 


9.67 890 




9 73 507 




0.26 493 


9 94 383 , 


29 


12. II'S II. 

14.4 13-8 13-2 




32 


9.67913 


23 


9 73 537 


30 


0.26 463 


9 94 376 ' 


28 


7 


16.8 16.1 15.4 




33 


9.67 936 


23 
23 


9 73 567 


2>o 
30 


0.26 433 


9 94 369 


7 
7 


27 


8 
9 


192 18.4 17.6 
21.6 20.7 19.8 




34 


9 67 959 




9 73 597 




0.26 403 


9 94 362 




26 






35 


9.67 982 


23 


9 73 627 


30 


0.26 373 


9 94 355 


7 


25 






36 


9.68 006 


24 
2^ 


9 73 657 


30 
30 


0.26 343 


9 94 349 


6 
7 


24 






37 


9.68 029 




9 73 687 


0.26 313 


9 94 342 


23 






38 


9.68 052 


^i 


9-73 717 


30 


0.26 283 


9 94 335 


7 


22 






39 
40 

41 


9 68 075 


23 
23 

2\ 


9-73 747 


30 
30 

30 


0.26 253 


9 94 328 


7 
7 

7 


21 
20 
19 






9.68 098 


9-73 777 


0.26 223 


9 94 321 




9.68 121 


9 73 807 


0.26 193 


9 94 314 




42 


9.68 144 23 


9-73 837 


30 


0.26 163 


9 94 307 


7 


18 






43 


9.68 167 


23 


9 73 867 


30 


0.26 133 


9 94 300 


7 
7 


17 






44 


9.68 190 




9 73 897 


0^ 


0.26 103 


9 94 293 


16 


7 6 




45 
46 


9.68 213 
9 68 237 


^2> 

24 


9 73 927 
9 73 957 


30 
30 
30 


0.26 073 
0.26 043 


9.94 286 
9 94 279 


7 
7 
6 


15 
14 


1 
2 
3 


0.7 0.6 
1.4 1.2 
2.1 1.8 




47 


9.68 260 




9 73 987 




0.26 013 


9 94 273 




13 


4 


2.8 2.4 




48 
49 


9.68 283 
9.68 305 


2i 
22 
23 


9 74 017 
9.74 047 


30 
30 
30 

30 


0.25 983 
0.25 953 


9.94 266 
9 94 259 


7 
7 
7 

7 


12 
11 


5 
6 
7 
8 


3-S 30 
4-2 3.6 
4.9 4-2 
5-6 4.8 




50 


9.68 328 


23 


9 74 077 


0.25 923 


9 94 252 


10 




51 


9 68 351 


23 


9 74 107 




0.25 893 


9 94 245 


9 


9 ".J o-'* 




52 


9 68 374 


9 74 137 


30 


0.25 863 


9 94 238 


7 


8 






53 


9 68 397 


23 
2^ 


9.74 166 


30 0-25 834I 


9 94 231 


7 
7 


7 






54 


9.68 420 




9 74 196 




0.25 804 


9 94 224 


6 






55 


9 68 443 


^i 


9.74 226 


30 


25 774 


9.94 217 


7 


5 






56 


9.68 466 


23 
23 


9 74 256 , 


30 
30 


0.2s 744 


9.94 210 


7 
7 


4 






57 


9.68 489 




9.74 286 


0.25 714 


9 94 203 


3 






58 


9.68 512 


23 


974316 


i° 0.25 684 1 


9 94 196 


7 


2 






59 
60 


9 68 534 


23 


9 74 345 


29 
30 


0.25 655 


9 94 189 


7 
7 


1 







9-68 557 


9 74 375 


0.25 625 


9.94 182 






L Cos 


d 


L Cot c d L Tan 


L Sin 


d 


! 


P P 





(52) 



61 



29 



; 


L Sin 


d 


L Tan 


cd 


L Cot 


L Cos 


d 




P P 


O 

1 


9 68 557 
9.68 580 


23 


9 74 375 


30 


0.25 625 


9.94 182 


7 


60 

59 






9 


74 405 


0.25 595 


9 94 175 


2 


9.68 603 


-3 


9 


74 435 


30 


0.25 565 


9.94 168 




11 






3 


9.68 625 


- ' 


9 


74465 


30 


0.25 535 


9 94 161 


7 


57 






4 


9.68 648 


-3 


9 


74 494 


29 


0.2s 506 


9 94 154 


56 






5 


9.68 671 


-3 


9 


74 524 


30 


0.25 476 


9 94 147 


_ 


55 






6 


9.68 694 


-3 


9 


74 554 


30 
29 


0.25 446 


9 94 140 


7 


54 






7 


9.68 716 




9 


74 583 


0.25 417 


9 94 133 


53 






8 


9 68 739 


23 


9 


74 613 


30 


0.25 387 


9.94 126 




52 






9 


9.68 762 


2 2 


9 


74 643 


30 
29 


0.25 357 


9 94 "9 




51 






10 


9.68 784 


23 


9 


74673 


0.25 327 


9.94 112 




50 


I 


30 
6.0 


29 

2.Q 

5-8 


11 


9.68 807 


9 


74 702 


0.25 298 


9 94 105 




49 


2 


12 


9 68 829 


- - 


9 


74 732 


30 


0.25 268 


9 94 098 




48 


3 


0.0 


8.7 


13 


9.68 852 


-'3 


9 


74 762 


30 
29 


0.25 238 


9 94 090 


47 


4 
5 


12.0 
150 


II.6 

145 


14 


9 68 875 




9 


74 791 




0.25 209 


9 94 083 




46 


6 


18.0 


17.4 


15 


9.68 897 


- ~ 


9 


74 821 


30 


0.25 179 


9 94 076 




45 


7 


21.0 


20.3 


16 


9.68 920 


22 


9 


74 851 


30 
29 


0.25 149 


9 94 069 




44 


8 
9 


24.0 
27.0 


23-2 
26.1 


17 


9.68 942 




9 


74 880 




0.25 120 


9.94 062 




43 






18 


9.68 965 


23 


9 


74 910 


30 


0.25 090 


9 94 055 




42 






19 


9.68 987 


■> ? 


9^ 


74 939 


29 
30 

29 


0.25 061 


9 94 048 




41 






20 

21 


9.69 010 


-0 

22 


9^ 


74 969 


0.25 031 
0.25 002 


9 94 041 
9 94 034 




40 

39 






9.69 032 


9 


74998 


22 


9 69 055 


23 


9 


75 028 


30 


0.24 972 


9 94 027 


38 






23 


9 69 077 


2 2 


9 


75 058 


30 
29 


0.24 942 


9.94 020 


37 






24 


9,69 100 


■^0 


9 


75 087 


0.24913 


9.94 012 




36 






25 


9.69 122 


-- 


9 


75 117 


30 


0.24 883 


9 94 005 




35 






26 


9 69 144 


-^ 


9 


75 146 


29 


0.24 854 


9 93 998 




34 






27 


9.69 167 


23 


9 


75 176 


30 


0.24 824 


9 93 991 




33 


23 


22 


28 


9 69 189 


2 2 


9 


75 205 


29 


0.24 795 


9 93 984 




32 


I 


2-3 

4.6 

6.g 
9.2 


2.2 


29 
30 


9.69 212 
9.69 234 


23 

22 


9 


75 235 


30 
29 


0.24 765 


9 93 977 




31 
30 


2 
3 
4 


4.4 
6.6 
8.8 


9 


75 264 


0.24 736 


9 93 970 






2 2 






30 










5 


11*5 


I I.O 


31 


9 69 256 




9 


75 294 


0.24 706 


9 93 963 




29 


6 


13.8 


132 


32 


9 69 279 


23 


9 


75 323 


29 


0.24 677 


9 93 955 


28 


7 

I 


16.1 
18.4 
27.0 


15-4 
17.6 
19.8 


33 


9.69 301 


2 2 


9 


75 353 


30 
29 


0.24 647 


9 93 948 




27 


34 


9 69 323 




9 


75382 




0.24 618 


9 93 941 




26 






35 


9 69 345 




9 


75 411 


29 


0.24 589 


9 93 934 


25 






36 


9.69 368 


23 


9 


75 441 


30 
29 


0.24 559 


9 93 927 


24 






37 


9 69 390 




9 


75 470 


0.24 530 


9 93 920 




23 






38 


9.69 412 




9 


75 500 


30 


0.24 500 


9 93 912 




22 






39 
40 


9 69 434 


2 2 
22 

23 


9 


75 529 


29 
29 

30 


0.24 471 
0.24 442 


9 93 905 
9 93 898 


21 
20 






9.69 456 


9^ 


75558 


41 


9 69 479 




9 


75588 


0.24 412 


9 93 891 




19 






42 


9 69 501 


2 2 


9 


75 617 


29 


0.24 383 


9 93 884 




18 






43 

44 


9 69 523 
9 69 545 


2 2 
22 


9 
9 


75 647 
75 676 


30 
29 


0.24 353 
0.24 324 


9 93 876 
9 93 869 


17 
16 


8 


7 


45 


9 69 567 


2 2 


9 


75 705 


29 


0.24 295 


9.93 862 




15 


t 


0.0 
1.6 
2-4 


0.7 


46 


9 69 589 


2 2 
22 


9 


75 735 


30 
29 


0.24 265 


9 93 855 




14 


2 
3 


1-4 
2.1 


47 


9.69 611 




9 


75 764 


0.24 236 


9 93 847 




13 


4 


3-2 


2.8 


48 


9 69 633 


2 2 


9 


75 793 


29 


0.24 207 


9 93 840 




12 


5 
6 
7 


4.0 
4.8 

5-6 


3-5 


49 


9 69 655 


2 2 
22 


9 


75822 


29 
30 

29 


0.24 178 


9 93 833 




11 


4-2 

4.9 


50 

51 


9 69 677 
9 69 699 


22 


9 


75852 


0.24 148 


9 93 826 




10 

9 


8 
9 


6.4 

7.2 


5.6 
6.3 


9 


75881 


0.24 119 


9 93 819 




52 


9 69 721 


" 


9 


75 910 


29 


0.24 090 


9 93 811 




8 






53 


9 69 743 


-, , 


9 


75 939 


29 
30 


0.24 061 


9 93 804 


7 






64 


9 69 765 




9 


75 969 


0.24 031 


9 93 797 


' 


6 






55 


9 69 787 




9 


75 998 


29 


0.24 002 


9 93 789 




5 






56 


9 63 809 


"'■' 


9 


76 027 


29 
29 


0.23 973 


9 93 782 




4 






57 


9.69 831 


, , 


9 


76 056 


0.23 944 


9 93 775 




3 






58 


9 69 853 


J J 


9 


76 086 


30 


0.23 914 


9 93 768 


2 






59 
60 


9.69 875 




9 


76 115 


29 
29 


0.23 885 


9 93 760 




1 







9 69 897 


9 


76 144 


0.23 856 


9 93 753 




L Cos 


d 


L Cot 


Cd 


L Tan 


L Sin 


d 


f 


P P 



60 



(■5.-)) 













30° 












t 


L Sin 


d 


L Tan 


cd 


L Cot 


L Cos 


d 




P P 


o 

1 


9.69 897 
9.69 919 


22 


9.76 144 
9.76 173 


2g 


0.23 856 


9 93 753 
9 93 746 


7 


60 

59 




0.23 827 


2 


9 69 941 


-- 


9.76 202 


29 


0.23 798 


9 93 738 




58 




3 


9 69 963 




9 76 231 


29 
30 


0.23 769 


9 93 731 


V 
7 


57 




4 


9.69 984 




9.76 261 


0.23 739 


9 93 724 


56 




5 


9.70 006 




9.76 290 


29 


0.23 710 


9 93 717 


8 
7 


55 




6 


9.70 028 




9.76 319 


29 
-'9 


0.23 68i 


9 93 709 


54 




7 


9.70 050 




9.76 348 


0.23 652 


9 93 702 


53 




8 


9.70 072 


-- 


9 76 377 


^9 


0.23 623 


9 93 695 


/ 
8 
7 

7 
8 


52 




9 

10 
11 


9.70 093 


22 
22 


9.76 406 


29 
29 

29 


0.23 594 


9 93 687 


51 
50 

49 


30 39 28 


9.70 115 


9 76 435 


0.23 565 


9.93 680 
9 93 673 


9.70 137 


9.76 464 


0.23 536 


I 


3.0 2.9 2.8 
6.0 5.8 5.6 


12 


9.70 159 




9 76 493 


29 


0.23 507 


9 93 665 


48 


3 


9.0 8.7 8.4 


13 


9.70 180 




9 76 522 


29 


0.23 478 


9 93 658 


8 


47 


4 


12.0 II. 6 II. 2 


14 


9.70 202 




9 76 551 




0.23 449 


9 93 650 


46 


S 
6 


15.0 14.5 14.0 
18.0 17.4 16.8 


lb 


9.70 224 




9.76 580 




0.23 420 


9 93 643 




45 


7 


21.0 20.3 19.6 


16 


9.70 245 




9.76 609 


29 


0.23 391 


9 93 636 


8 


44 


8 


24.0 23.2 22.4 


17 


9.70 267 




9.76 639 




0.23 361 


9 93 628 


43 


9 


27.0 26.1 25.2 


18 


9.70 288 




9.76 668 


29 


0.23 332 


9 93 621 


V 


42 




19 
20 
21 


9 70 310 


22 
21 


9.76 697 


29 
28 

29 


0.23 303 


9 93 614 
9.93 606 
9 93 599 


V 
8 

7 
8 


41 
40 
39 




9 70 332 


9.76 725 


0.23 275 


9-70 353 


9 76 754 


0.23 246 


22 


9 70 375 




9.76 783 


29 


0.23 217 


9 93 591 


38 




23 


9.70 396 




9.76 812 


29 
29 


0.23 188 


9 93 584 


V 
7 
8 


37 




24 


9.70 418 




9.76 841 


0.23 159 


9 93 577 


36 




25 


9 70 439 




9.76 870 


29 


0.23 130 


9 93 569 


35 




26 


9.70 461 




9.76 899 


29 


0.23 lOI 


9 93 562 


8 


34 




27 


9.70 482 




9.76 928 


29 


0.23 072 


9 93 554 


33 


23 21 


28 


9.70 504 




9 76 957 


29 


0.23 043 


9 93 547 


8 
7 

7 
8 


32 






29 
30 


9-70 525 


22 


9.76 986 


29 
29 

29 


0.23 014 


9 93 539 


31 
30 


3 
4 


4.4 4.2 
6.6 6.3 
8.8 8.4 


9-70 547 


9.77 015 


0.22 985 


9 93 532 


31 


9.70 568 




9.77 044 


0.22 956 


9 93 525 


29 


6 


13.2 12.6 


32 


9.70 590 




9 77 073 


29 

28 
29 


0.22 927 


9 93 517 


^8 


7 
8 


15-4 14-7 
17.6 16.8 
19.8 18.0 


33 


9.70 611 


22 


9.77 lOI 


0.22 899 


9 93 510 


8 


27 


9 


34 


9 70 633 




9 77 130 




0.22 870 


9 93 502 




26 




35 


9.70 654 




9-77 159 




0.22 841 


9 93 495 


/ 
8 
7 
8 


25 




36 


9.70 675 




9.77 188 


29 
29 


0.22 812 


9 93 487 


24 




37 


9.70 697 




9 77 217 


0.22 783 


9 93 480 


23 




38 


9.70 718 




9.77 246 


29 
28 
29 

29 


0.22 754 


9 93 472 


22 




39 
40 

41 


9 70 739 


22 
21 


9 77 274 


0.22 726 


9 93 465 
9 93 457 


8 
8 


21 
20 

19 




9.70 761 


9 77 303 


0.22 697 


9.70 782 


9-77 332 


0.22 668 


9 93 450 


42 


9.70 803 




9 77 361 




0.22 639 


9 93 442 


18 




43 


9.70 824 


22 


9 77 390 


29 


0.22 610 


9 93 435 


7 
8 


17 


8 7 


44 


9.70 846 




9 77 418 




0.22 582 


9 93 427 




16 


I 


0.8 0.7 


45 


9.70 867 




9 77 447 




0.22 553 


9 93 420 


8 

7 


15 


2 


1.6 1.4 


46 


9.70 888 


21 


9.77 476 


29 
29 


0.22 524 


9 93 412 


14 


3 

4 


i 2.4 2.1 
1 3.2 2.8 


47 


9.70 909 




9-77 505 


28 


0.22 495 


9 93 405 


8 


13 


5 


40 3.5 


48 


9.70 931 


22 


9-77 533 


0.22 467 


9 93 397 


12 


6 


4-8 4-2 


49 


9.70 952 


21 


9 77 562 


29 


0.22 438 


9 93 390 


8 


11 


7 


5.6 4.9 
6.4 S-6 
7-2 6.3 


50 

51 


9 70 973 
9.70 994 


21 


9 77 591 


28 


0.22 409 


9 93 382 


7 
8 


10 

9 


9 


9 77 619 


0.22 381 


9 93 375 




52 


9.71 015 


^^ 


9 77 648 


29 


0.22 352 


9 93 367 


8 




53 


9.71 036 




9.77 677 




0.22 323 


9 93 360 


8 


7 




54 


9.71 058 




9.77 706 


28 


0.22 294 


9 93 352 


8 


6 




55 


9.71 079 




9-77 734 




0.22 266 


9 93 344 




5 




5b 


9.71 100 


21 


9 77 763 


^8 


0.22 237 


9 93 337 


7 

8 


4 




57 


9.71 121 




9.77 791 




0.22 209 


9 93 329 




3 




58 


9.71 142 




9.77 820 




0.22 180 


9 93 322 


8 
7 


2 




59 
60 


9 71 163 


21 


9 77 849 


28 


0.22 151 


9 93 314 


1 1 


9.71 184 


9.77 877 


0.22 123 


9 93 307 









L Cos 


d 


LCot 


Cd 


LTan 


LSin 


d 


r 


P P 



(54) 



59 



31 



L Sin 



9.71 184 



1 
2 
3 

4 
5 
6 

7 
8 
9 

10 

11 
12 
13 

14 
15 
16 

17 
18 
19 

20 

21 
22 
23 

24 
25 
26 

27 
28 
29 

30 

31 
32 
33 

34 
35 
36 

37 
38 
39 

40 

41 
42 
43 

44 
45 
46 

47 
48 
49 

50 

51 
52 
53 

54 
55 
56 

57 
58 
59 

60 



205 
226 
247 
268 
289 
310 

331 
352 
373 

393 



414 
435 
456 

477 
498 
519 

539 
560 
581 



602 



622 
643 
664 

68s 
705 
726 

747 
767 
788 



809 



829 

850 
870 

891 
911 
932 

952 
973 
994 



72 014 



72 034 
72 055 
72 075 
72 096 
72 116 
72 137 

72 157 
72 177 
72 198 



72 218 



72 238 
72 259 
72 279 

72 299 
72 320 
72 340 
72 360 
72 381 
72 401 
72 421 

L Cos 



L Tan 



77^77 

77 906 
77 935 
77 963 

77 992 

78 020 
78 049 

78 077 
78 106 
78ji3S^ 

78 163 



78 192 
78 220 
78 249 

78 277 
78 306 
78 334 

78363 
78 391 
78 419 



78448 



78476 
78 505 
78 533 
78 562 
78 590 
78 618 

78647 
78 675 
78 704 



78 732 



78 760 
78 789 
78817 

78845 
78874 
78 902 

78 930 
78 959 
78987 



79 015 



79 043 
79 072 
79 100 

79 128 
79 156 
79 185 

79 213 
79 241 
79 269 



79 297 



79 326 
79 354 
79 382 

79 410 
79 438 
79 466 

79 495 
79 523 
79 551 

79 579 



L Cot c d 



c d L Cot 



0.22 123 

0.22 094 
0.22 065 
0.22 037 

0.22 008 
0.21 980 
0.21 951 

0.21 923 
.21 894 
.21 865 



0. 

0.21 837 



.21 808 
.21 780 
•21 751 

•21 723 
.21 694 
.21 666 

■21 637 
.21 609 
.21 581 



0.21 552 



•21 524 
21 495 
.21 467 

.21 438 
.21 410 
.21 382 

•21 353 
•21 325 
.21 296 



0.21 268 



.21 240 
.21 211 
.21 183 

•21 155 
.21 126 
.21 098 

.21 070 
.21 041 
.21 013 



0.20 98s 



20 957 
20 928 
20 900 

20 872 
20 844 
20 815 

20 787 
20 759 
20 731 



0.20 703 



0.20 674 
0.20 646 
0.20 618 

0.20 590 
0.20 562 
0.20 534 

0.20 505 
0.20 477 
0.20 449 

0.20 421 



L Tan 



L Cos 

9 93 307^ 

9 93 299 
9 93 291 
9 93 284 
9 93 276 
9 93 269 
9 93 261 
9 93 253 
9 93 246 
9 93 238 



9 93 230 



9 93 223 
9 93 21S 
9 93 207 
9 93 200 
9 93 192 
9 93 184 

9 93 177 
9 93 169 
9 93 161 



9 93 154 



9 93 146 
9 93 138 
9 93 131 
9 93 123 
9 93 "5 
9 93 108 

9.93 100 
9 93 092 
9 93 084 



9 93 077 



9 93 069 
9.93 061 
9 93 053 
9 93 046 
9 93 038 
9 93 030 
9 93 022 
9 93 014 
9 93 007 



9j)2 9^ 

9.92 991 
9.92 983 
9.92 976 

9.92 968 
9.92 960 
9 92 952 

9.92 944 
9 92 936 
9.92 929^ 

9 92 921 

9 92 913 
9.92 905 
9 92 897 

9.92 889 
9.92 881 
9.92 874 

9.92 866 
9 92 858 
9.92 850 

9.92 842 



L Sin 



58' 



60 

59 

58 
57 

56 
55 
54 

53 
52 
51 

50 

49 
48 
47 

46 
45 
44 

43 
42 

41 

40 

39 
38 
37 

36 
35 
34 

33 
32 
31 

30 

29 
28 
27 

26 
25 
24 

23 
22 
21 

20 

19 
18 
17 

16 
15 
14 

13 
12 
11 

10 

9 
8 
7 

6 
5 
4 

3 
2 
1 



P P 





29 


28 


I 


2.9 


2.8 


2 


5.8 


S.6 


3 


8.7 


8.4 


4 


11.6 


II. 2 


S 


I4S 


14.0 


6 


17.4 


16.8 


7 


20.3 


X9.6 


8 


23.2 


22.4 


9 


26.1 


25.2 



21 

2.1 
4.2 
6.3 
8.4 
10. s 
12.6 
14.7 
t6.8 
18.9 



0.8 
1.6 
2-4 
3-2 
4.0 
4.8 
S.6 
6.4 
7.2 



P P 



20 

2.0 
4.0 
6.0 
8.0 

lO.O 

12.0 
14.0 
16.0 
18.0 



0.7 
1-4 
2.1 
2.8 
35 
4.2 
4.9 
5.6 
6.3 



Co5) 



32- 






L Sin 


d 


L Tan 


cd 


L Cot 


L Cos 


d 




P P 1 


9. 72 421 




9 79 579 


28 


0.20 421 


9.92 842 


g 


60 








1 


Q 


72 441 




9 79 607 


28 
28 


0.20 393 


9.92 834 




59 








2 





72 461 


20 


9 79 635 


0.20 365 


9.92 826 


t) 


58 








3 


9 


72 482 


21 
20 


9 79 663 


0.20 337 


9.92 818 


8 


57 

56 
55 
54 








4 


9 


72 502 




9 79 691 


28 
28 


0.20 309 


9.92 810 










b 


9 


72 522 




9 79 719 


0.20 281 


9 92 803 


V 








6 


9 


72 542 




9 79 747 


0.20 253 


9 92 795 










7 


9 


72 562 




9.79 776 


2y 

28 


0.20 224 


9.92 787 


8 


53 








8 


9 


72582 


20 


9 79 804 


0.20 196 


9.92 779 


& 


52 








9 


9 


72 602 




9.79 832 


28 


0.20 168 


9.92 771 


8 
8 


51 


29 


28 




iO 


9 


72 622 




9.79 860 




0.20 140 


9.92 763 




50 


























2.9 

5-8 




.2.7 
5-4 


11 


9 


72 643 




9.79 888 


28 
28 
28 


0.20 112 


9 92 755 




49 


2 


S.6 


12 


9 


72 663 




9 79 916 


0.20 084 


9,92 747 




48 


3 


8.7 


8.4 


8.1 


13 


9 


72683 


20 


9-79 944 


0.20 056 


9 92 739 


8 
8 


47 


4 
S 


II. 6 
14-5 


II. 2 
14.0 


10.8 
13s 


14 


9 


72 703 




9 79 972 


28 
28 
28 


0.20 028 


9 92 731 


8 


4b 


6 


17.4 


16.8 


16.2 


15 


9 


72 723 




9.80 000 


0.20 000 


9.92 723 


4b 


7 


20.3 


19.6 


18.9 


16 


9 


72 743 


20 
20 


9.80 028 


0.19 972 


9 92 715 


8 

8 


44 


8 
9 


23-2 
26.1 


22.4 
25.2 


21.6 

243 


17 


9 


72 763 




9.80 056 


28 
28 

^8 


0.19 944 


9.92 707 


8 
8 

s 


43 








18 


9 


72 783 




9.80 084 


0.19 916 


9.92 699 


42 








19 


9 


72 803 




9.80 112 


0.19 888 


9.92 691 


41 








20 

21 


9 


72823 


20 


9.80 140 
9.80 168 


28 


0.19 860 


9 92 683 


8 

8 
8 

8 


40 

39 








9 


72 843 


0.19 832 


9.92 675 


22 


9 


72863 




980 195 


27 
28 
^8 


0.19 805 


9.92 667 


38 








23 


9 


72883 


ig 


9.80 223 


0.19 777 


9 92 659 


37 








24 


9 


72 902 




9.80 251 


28 

28 
28 

28 
28 
28 

?8 


0.19 749 


9 92 651 


8 
8 
8 

8 
8 
8 

8 


36 








25 


9 


72 922 




9.80 279 


0.19 721 


9.92 643 


3b 








26 
27 


9 
9 


72 942 
72 962 


20 


9 80 307 
9 80 335 


0.19 693 
0.19 665 


9 92 635 
9.92 627 


34 
33 


2t 


20 


19 


28 


9 


72 982 




9.80 363 


0.19 637 


9.92 619 


32 


I ' 


2.1 


2.0 


1.9 


29 
30 


9 


73 002 


20 
19 


980 391 


0.19 609 


9.92 611 


31 
30 


2 
3 
4 
5 
6 


4-2 
6.3 
8.4 


4.0 
6.0 
8.0 


3-8 
S-7 
7.6 
95 
11.4 


9 


73 022 


9.80 419 


0.19 581 


9 92 603 


31 


9 


73 041 




9.80 447 




0.19 553 


9 92 595 


8 
8 
8 


29 


12.6 


12.0 


32 


9 


73 061 




9-80 474 


27 
28 
28 


0.19 526 


9.92 587 


28 


7 


14.7 


14.0 


133 


33 


9 


73 081 


20 


9.80 502 


0.19 498 


9 92 579 


27 


8 
9 


16.8 
18.9 


16.0 
18.0 


152 
17. 1 


34 


9 


73 loi 




9.80 530 


28 
28 
^8 


0.19 470 


9 92 571 


8 
8 
9 


26 








35 


9 


73 121 




980 558 


0.19 442 


9 92 563 


25 








36 


9 


73 140 


20 


9.80 586 


0.19 414 


9 92 555 


24 








37 


9 


73 160 




9.80 614 


28 


0.19 386 


9.92 546 


8 
8 
8 

8 
8 


23 








38 


9 


73 180 




9.80 642 


0.19 358 


9 92 538 


22 








39 
40 

41 


9 


73 200 


19 
20 


9.80 669 
9.80 697 


28 
28 
28 


0.19 331 


9 92 530 


21 
20 

19 








9 


73 219 


0.19 303 


9 92 522 


9 


73 239 


9 80 725 


0.19 275 


9.92 514 


42 


9 


73 259 




980 753 


28 
27 

28 
28 
28 


0.19 247 


9 92 506 


8 
8 

8 


18 








43 
44 


9 
9 


73 278 
73 298 


20 


9.80 781 
9.80 808 


0.19 219 
0.19 192 


9 92 498 
9.92 490 


17 
16 


9 


8 


7 


45 


9 


73318 




9.80 836 


0.19 164 


9.92 482 


15 


I 


0.9 

' 1.8 
2.7 


0.8 
1.6 

2.4 


0.7 


46 


9 


73 337 


20 


9.80 864 


0.19 136 


9 92 473 


8 


14 


3 


1.4 
2.1 


47 


9 


73 357 




9.80 892 


27 
28 
28 

28 

27 

28 

78 


0.19 108 


9.92 465 


8 


13 


4 


3-6 


3-2 


2.8 


48 


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53 








8 


9.76 003 


I s 


9.84 738 


- 1 


0.15 262 


b2 








9 
10 


9.76 021 
9.76 039 


18 

18 


9.84 764 


27 
27 


0.15 236 


9 91 257 


9 

n 


bl 
50 


27 


26 

2.6 

S-2 




9.84 791 


0.15 209 


9.91 248 ' 




11 


9.76 057 


iS 


9.84 818 


0.15 182 


9.91 239 '' 


49 


2 


2-7 
S-4 




12 


9 76 075 


9.84 845 


" 


0.15 155 


9.91 230 9 


48 


3 


8.1 


7.8 




13 


9.76 093 




9.84 872 


-'/ 


0.15 128 


9.91 221 ^ 


47 


4 


10.8 


10.4 




14 


9.76 III 


iS 


9.84 899 


27 
26 


0.15 lOI 


9.91 212 


46 


5 
6 


13s 
16.2 


13.0 

IS.6 




15 


9 76 129 


9.84 925 


0.15 075 


9.91 203 9 


4b 


7 


18.9 


18.2 




16 


9 76 146 


w 


9.84 952 


27 


0.15 048 


9.91 194 ^ 


44 


8 


21.6 


20.8 




17 


9.76 164 


iS 


9 84 979 


2; 


0.15 021 


9.91 185 


43 


9 


243 


23.4 




18 


9.76 182 


18 


9.85 006 


2/ 


0.14 994 


9.91 176 9 


42 








19 


9.76 200 


18 
18 


9 85 033 


2 7 

26 


0.14 967 


9.91 167 9 


41 








20 

21 


9.76 218 
9 76 236 


18 


9 85 059 
9.85 086 


27 


0.14 941 


9.91 158 


9 


40 

39 








0.14 914 


9.91 149 




22 


9 76 253 


17 


9 85 113 


27 


0.14 887 


9 91 141 " 


38 








23 


9.76 271 


iS 


9 85 140 


2/ 


0.14 860 


9.91 132 y 
991 123 


37 








24 


9 76 289 




9.85 166 




0.14 834 


36 








25 


9.76 307 


iS 


9 85 193 


2/ 


0.14 807 


9.91 114 ^ 


3b 








26 


9 76 324 


17 


9.85 220 


27 
27 


0.14 780 


9.91 105 y 


34 


18 


17 




27 


9.76 342 




985 247 




0.14 753 


9 91 096 


33 








28 


9 76 360 




9 85 273 




0.14 727 


9.91 087 y 


32 




3.6 

5-4 


1.7 




29 


9.76 378 


18 

17 

18 


985 300 


27 
27 

27 


0.14 700 


9.91 078 9 


31 


3 


S.I 




30 


9 76 395 


9 85 327 


0.14 673 


9.91 069 


30 


4 

s 


7-2 
9.0 


6.8 
8.S 




31 


9 76 413 




9 85 354 


0.14 646 


9.91 060 


29 


6 


10.8 
12.6 


10.2 




32 


9 76 431 




9 85 380 




0.14 620 


9 91 051 9 


28 


7 
g 


11.9 

13.6 
IS. 3 




33 


9.76 448 


17 


9.85 407 


27 

27 


0.14 593 


9.91 042 ^ 
9 91 033 ^^ 


27 


9 


16.2 




34 


9.76 466 


18 


985 434 


0.14 566 


26 








35 


9.76 484 


9.85 460 


26 


0.14 540 


9.91 023 '° 


2b 








36 


9 76 501 


17 


9 85 487 


27 
27 


0.14 513 


9.91 014 9 


24 








37 


9.76 519 




9 85 514 


0.14 486 


9 91 005 




23 








38 


9 76 537 




9 85 540 




0.14 460 


9.90 996 


y 


22 








39 
40 

41 


9 76 554 
9.76 572 


17 
18 

18 


985 567 


2; 
27 

26 


0.14433 
0.14 406 


9 90 987 
9.90 978 


9 
9 


21 
20 

19 








9 85 594 




9 76 590 


9.85 620 


0.14 380 


9 90 969 




42 


9.76 607 


17 


9.85 647 


27 


0.14 353 


9 90 960 




18 








43 


9 76 625 


17 

iS 


9.85 674 


27 
20 


0.14 326 


9 90 951 


9 

9 


17 


10 9 


8 




44 


9.76 642 


9 85 700 




0.14 300 


9.90 942 


16 


I 


I.O O.Q 


0.8 




45 


9.76 660 


9 85 727 


27 


0.14 273 


9 90 933 


9 


15 


2 


2.0 1.8 


1.6 




46 


9.76 677 


17 

iS 


9 85 754 


27 
26 


0.14 246 


9.90 924 


Q 


14 


3 ; 

4 , 


3.0 2.7 
4.0 3.6 


2.4 

3-2 




47 


9 76 695 




9 85 780 




0.14 220 


9 90 915 




13 


5 ! 


5.0 4-5 


4.0 




48 


9 76 712 


17 


9 85 807 


27 


0.14 193 


9 90 906 


9 


12 


6 1 


6.0 54 


4.8 




49 
SO 

51 


9.76 730 
9.76 747 
9.76 765 


17 

.8 


9 85 834 


27 
26 

27 
26 


0.14 166 


9.90 896 


9 
9 


11 

10 

9 


7 1 

8 I 

9 . 


7.0 6.3 
8.0 7.2 
9.0 8.1 


S-6 
6.4 

7-2 




9.85 860 
9 85 887 


0.14 140 


9.90 887 




0.14 113 


9.90 878 






52 


9.76 782 




9 85 913 


0.14 087 


9 90 869 




8 








53 


9.76 800 


17 


9 85 940 2^ 

9 85 967 ,. 
9 85 993 :. 


0.14 060 


9 90 860 




7 








54 


976 817 


0.14 033 


9 90 851 




6 








bb 


9 76 835 




0.14 007 


9.90 842 




5 








56 


9 76 852 


1 8 


9 86 020 


26 


0.13 980 


9 90 832 




4 








57 


9 76 870 




9.86 046 




0.13 954 


9.90 823 




3 








58 


9 76 887 


I 7 


9.86 073 


27 


0.13 927 


9 90 814 


9 


2 








59 


9 76 904 


I 7 
I 8 


9.86 100 -/ 


13 900 


9 90 805 


9 


1 








60 


9.76 922 




9.86 126 


0.13 874 


9.90 796 















L Cos 


d 


L Cot c d 


LTan 


LSin 


d 


\ 


P P 





54' 



(■'.'.') 



36 



/ 


L Sin 


d 


L Tan 


cd 


L Cot 


L Cos d 




P P 


o 

1 

2 
3 


9.76 922 


17 
18 
17 
17 
iS 

17 
17 
18 
17 
17 

17 
18 
17 
17 

17 
18 

17 

17 
17 
18 

17 

17 
17 

17 

17 
17 
17 
18 
17 
17 

17 

17 
17 

1 7 


9.86 126 

9 86 153 
9.86 179 
9.86 206 


27 
26 
27 
26 


0.13 874 


9.90 796 


9 

10 


60 

59 
58 
57 




9 76 939 
9 76 957 
9.76 974 


0.13 847 
0.13 821 
0.13 794 


9.90 787 
9 90 777 
9.90 768 


4 
5 
6 


9.76 991 
9 77 009 

9.77 026 


9.86 232 
9 86 259 
9.86 285 


27 
26 
27 

26 
27 
27 

26 

27 
26 
27 

26 
27 
26 

26 
27 
26 

27 

26 
27 
26 


0.13 768 
0.13 741 
0.13 715 


9 90 759 ' 
9.90 750 f 
990 741 ^l 


56 
55 
54 




7 
8 
9 

10 

11 
12 
13 


9-77 043 
9.77 061 
9 77 078 


9.86 312 
9 86 338 
9 86 365 


0.13 688 
0.13 662 
0.13 635 


9.90 731 
9.90 722 
9 90 713 


9 
9 
9 

10 

9 
9 
9 


53 
52 
51 

50 

49 

48 
47 




9 77 095 


9.86 392 

9.86 418 
9.86 445 
9.86 471 


0.13 608 


9.90 704 


I 
2 
3 
4 
s 


2.7 2.6 

5-4 5-2 

8.1 7-8 

10.8 10.4 

13-3 130 


9 77 "2 
9 77 130 
9 77 147 


0.13 582 
0.13 555 
0.13 529 


9.90 694 
9 90 685 
9.90 676 


14 
15 
16 

17 
18 
19 

20 

21 
22 
23 


9 77 164 
9 77 181 
9 77 199 
9.77 216 
9 77 233 
9 77 250 

9.77 268 


9.86 498 
9.86 524 
9-86 551 

9 86 577 
9.86 603 
9.86 630 


0.13 502 
0.13 476 
0.13 449 

0.13 423 
0.13 397 
0.13 370 


9.90 667 
9.90 657 
9.90 648 

9 90 639 
9.90 630 
9.90 620 


10 
9 
9 

9 

10 

9 

9 

10 

9 

9 


46 
45 
44 

43 
42 
41 

40 

39 

38 
37 


6 
7 
8 
9 


16.2 15.6 
18.9 18.2 
21.6 20.8 
24-3 23.4 


9.86 656 


0.13 344 


9.90 611 




9 77 285 
9.77 302 
9 77 319 


9.86 683 
9.86 709 
9-86 736 


0.13 317 
0.13 291 
0.13 264 


9.90 602 
9.90 592 
9 90 583 


24 
25 
26 

27 
28 
29 

30 

31 
32 
33 


9 77 336 
9 77 353 
9 77 370 

9-77 387 
9 77 405 
9.77 422 


9.86 762 
9.86 789 
9.86 815 

9.86 842 
9.86 868 
9.86 894 


27 
26 
27 
26 
26 
27 

26 

27 
26 
27 


0.13 238 
0.13 211 
0.13 185 

0.13 158 
0.13 132 
0.13 106 


9 90 574 
9 90 565 
9 90 555 
9,90 546 
9 90 537 
9.90 527 


9 

10 
9 

9 
10 

9 
9 

10 

9 

10 


36 
35 
34 

33 
32 
31 

30 

29 

28 
27 


I 
2 
3 
4 
5 
6 

8 
9 


18 17 16 

1.8 1.7 1-6 
3-6 3-4 3-2 
5-4 S-i 4-8 
7.2 6.8 6.4 
g.o 8.5 S.o 
10.8 10.2 9.6 
12.6 ii.g 11.2 
14.4 13.6 12.8 
16.2 15.3 ■ 144 


9 77 439 


9.86 921 

9 86 947 

9.86 974 

9.87 000 


0.13 079 


9-9° 518 


9-77 456 
9 77 473 
9 77 490 


0.13 053 
0.13 026 
0.13 000 


9 90 509 
9.90 499 
9.90 490 


34 
35 
36 


9 77 507 
9-77 524 
9-77 541 


17 
17 
17 

17 
17 

17 

17 

17 
17 
17 

17 
17 
17 
16 
17 
17 

17 

17 
17 
17 
16 
17 
17 

17 
17 
16 


9.87 027 
987 053 
9 87 079 


26 
26 
27 

26 
26 
27 
26 

27 
26 
26 

27 
26 
26 


0.12 973 
0.12 947 
0.12 921 


9.90 480 
9.90 471 
9.90 462 


9 

9 
10 


26 
25 
24 




37 
38 
39 

40 

41 
42 
43 

44 
45 
46 


9-77 558 
9 77 575 
9-77 592 


9.87 106 
9 87 132 
9.87 158 


0.12 894 
0.12 868 
0.12 842 


9.90 452 
9 90 443 
9 90 434 

9.90 424 


9 

9 

10 

9 
10 

9 
10 

9 
9 

TO 


23 
22 
21 

20 

19 
18 
17 

16 
15 
14 




9 77 609 

9.77 626 
9-77 643 
9.77 660 

9 77 677 
9 77 694 
9.77 711 


9.87 185 


0.12 815 


9.87 211 
9 87 238 
9.87 264 

9.87 290 
987 317 
987 343 


0.12 789 
0.12 762 
0.12 736 

0.12 710 
0.12 683 
0.12 657 


9.90 415 
9.90 405 
9.90 396 

9.90 386 
9 90 377 
9.90 368 


I 
2 


10 9 

i 1.0 0.9 

j 2.0 1.8 
' 3-0 2.7 


47 
48 
49 

50 

51 
52 
53 


9 77 728 
9-77 744 
9 77 761 

9 77 778 

9 77 795 
9.77 812 
9 77 829 


9.87 369 
9.87 396 
9.87 422 


27 
26 
26 

27 

26 
26 
27 
26 
26 
27 
26 
26 
26 


0.12 631 
0.12 604 
0.12 578 


9 90 358 
9 90 349 
9 90 339 

9 90 330 

9.90 320 
9.90 311 
9 90 301 


9 
10 

9 
10 

9 

10 

Q 


13 
12 
11 

10 

9 

8 
7 


4 
5 
6 
7 
8 
9 


4.0 3.6 
50 45 
6.0 5-4 
7.0 6.3 
8.0 7-2 
9.0 8.1 


9.87 448 


0.12 552 

0.12 525 
0.12 499 
0.12 473 


9 87 475 
9 87 501 
9 87 527 




54 
55 
56 


9 77 846 
9.77 862 
9 77 879 


9 87 554 
987 580 
9.87 606 


0.12 446 
0.12 420 
0.12 394 


9.90 292 
9.90 282 
9.90 273 


10 
9 

TO 


6 
5 

4 




57 
58 
59 

60 


9 77 896 
9 77 913 
9 77 930 


9 87 633 
9.87 659 
9 87 685 


0.12 367 
0.12 341 
0.12 315 


9.90 263 
9 90 254 
9.90 244 


9 

10 

9 


3 
2 
1 






9 77 946 


9 87 7" 


0.12 289 


9 90 235 




L Cos 


d 


L Cot 


cd 


L Tan 


L Sin 


d 


1 


P P 



(60) 



63' 



37" 



1 


L Sin 


d 


L Tan cd 


L Cot 


L Cos 


d 




P P 


o 

1 

2 
3 


9-77 946 

9 77 963 
9 77 980 ; 
9 77 997 


17 

17 
17 


9 87 7" ,^ 

9 87 738 , 
9.87764 l^ 
9.87790 f 

9.87817 , 
9 87 843 ^ 
9.87869 \l 


0.12 289 


9 90 235 


10 

9 
10 


60 

59 

58 
57 






0.12 262 
0.12 236 
0.12 210 


9 90 225 

9.90 216 : 

9.90 206 


4 
6 
6 


9.78 013 
9 78 030 
9 78 047 


17 
17 


0.12 183 
0.12 157 
0.12 131 


9 90 197 
9.90 187 
9.90 178 


10 


56 
55 
54 






7 
8 
9 

lO 

11 
12 
13 


9 78 063 
9 78 080 
9 78 097 


I 7 
17 
It) 

17 

17 

lO 

17 

17 
lO 

17 
It) 
17 
17 

16 
17 

lO 

17 

lO 

17 
16 


9.87 895 „ 

9.87 922 -; 
9 87 948 ;;; 


0.12 105 
0.12 078 
0.12 052 


9.90 168 
9 90 159 
9 90 149 




10 
10 

9 

10 

Q 


53 
52 
51 

50 

49 
48 

47 


?»7 


26 

2.6 

5.2 

7.8 

10.4 

13.0 


9 78 113 

9 78 130 
9 78 147 
9 78 163 


9 87 974 ; 


26 

2() 


0.12 026 


9.90 139 


I 

2 

3 

4 
5 


2.7 
5-4 
8.1 
I0.8 
13-5 


9.88 000 

9.88 027 

9 88 053 


0.12 000 
o.ii 973 
o.ii 947 


9.90 130 
9.90 120 
9.90 III 


14 
15 
16 


9.78 180 
9 78 197 
9.78 213 


9 88 079 Z 
9.88105 ll 
9.88 131 ^5 


O.II 921 
O.II 895 
O.II 869 


9 90 lOI 
9.90 091 
9.90 082 


10 



46 
45 
44 


6 
7 
8 
9 


16.2 
18.9 
21.6 
24-3 


15-6 
18.2 
20.8 
23-4 


17 
18 
19 

20 

21 
22 
23 


9.78 230 
9.78 246 
9 78 263 

9.78 280 

9.78 296 
978 313 
9.78 329 


9.88 158 
9.88 184 
9.88 210 


26 
26 
26 


O.II 842 
O.II 816 
O.II 790 


9 90 072 
9.90 063 
9 90 053 


9 
10 
10 

9 

10 
10 
9 
10 
10 


43 
42 
41 

40 

39 
38 
37 






9.88 236 

9.88 262 
9.88 289 
9 88 315 


26 

■>6 


O.II 764 


9.90 043 


oil 738 
O.II 711 
O.II 685 


9.90 034 
9.90 024 
9.90 014 


24 
25 
26 


9.78 346 
9.78 362 
9 78 379 


9 88 341 
9.88 367 
9-88 393 


26 
20 
27 

26 
26 
26 

26 

26 

11 


O.II 659 
O.II 633 
O.II 607 


9.90 005 
9 89 995 
9.89 985 


36 
35 
34 


17 


16 


27 
28 
29 

30 

31 
32 
33 


9 78 395 
9.78 412 
9.78 428 

9 78 445 

9.78 461 
9.78 478 
9 78 494 


17 
16 
17 
16 
17 

lb 
It) 


9.88 420 
9.88 446 
9.88 472 


O.II 580 
O.II 554 
O.II 528 


9.89 976 
9.89 966 
9.89 956 


10 

10 

9 

10 

10 

9 

10 


33 
32 
31 

30 

29 
28 
27 


I 1 

2 

3 

4 

5 

6 

7 

8 

9 1 


1-7 
3-4 

1:1 

8.S 
10.2 
11.9 
13.6 
15-3 


1.6 

3-2 

4.8 
6.4 
8.0 
9.6 
II. 2 
12.8 
14.4 


9.88 498 

9 88 524 
9.88 550 
9 88 577 


O.II 502 


9.89 947 


O.II 476 
O.II 450 
O.II 423 


9 89 937 
9.89 927 
9.89 918 


34 
35 
36 


9.78 510 
9 78 527 
9 78 543 


I 7 
i() 
17 
16 
lO 

17 
16 

17 
It) 
I() 

17 

lO 
10 

16 
17 
16 

16 

17 
I') 

lO 


9.88 603 
9.88 629 
9.88 655 


26 
26 
26 


O.II 397 
O.II 371 
oil 345 


9.89 908 
9.89 898 
9.89 888 


10 
10 
9 
10 
10 
10 

9 

10 

10 
10 

9 
10 
10 

10 

10 

9 

10 

10 

10 
10 


26 
25 
24 






37 
38 
39 

40 

41 
42 
43 

44 
45 
46 

47 
48 
49 

50 

51 
52 
53 


9.78 560 
9.78 576 
9.78 592 

9.78 609 

9 78 625 
9.78 642 
9 78 658 

9.78 674 
9.78 691 
9 78 707 
9 78 723 
9 78 739 
9 78 756 

9 78 772 

9.78 788 
9 78 805 
9 78 821 


9.88 681 
9.88 707 
9 88 733 


26 
20 
20 


oil 319 
oil 293 
oil 267 


9.89 879 
9.89 869 
9.89 859 


23 
22 
21 

20 

19 
18 
17 

16 
15 

14 

13 
12 
11 

10 

9 

8 
7 




9 

o.g 
1.8 
2.7 
3-6 
4-5 
5-4 
6.3 
7.2 
8.1 


9 88 759 


27 


O.II 241 


9.89 849 


9.88 786 
9.88 812 
9.88 838 

9.88 864 
9 88 890 
9.88 916 

9.88 942 

9.88 968 
9 88 994 

9.89 020 

9.89 046 
9 89 073 
9.89 099 


2(1 
20 

20 

26 
26 
26 

26 
26 
26 

26 

27 
26 
26 


oil 214 
Oil 188 
oil 162 

O.II 136 
O.II no 
O.II 084 

O.II 058 
O.II 032 
O.II 006 


9.89 840 
9 89 830 
9.89 820 

9.89 810 
9.89 801 
9.89 791 
9.89 781 
9.89 771 
9.89 761 


I 
2 
3 
4 
5 
6 
7 
8 


10 

1 '-o 
1 2.0 
1 3.0 
4.0 
S-o 
6.0 
7.0 
8.0 


O.IO 980 


9.89 752 


O.IO 954 
O.IO 927 
O.IO 901 


9 89 742 
9 89 732 
9 89 722 




54 
55 
56 


978837 
9 78 853 
9 78 869 


ir> 
If) 
1 7 


9 89 125 
9 89 151 
9 89 177 


,. o.io 875 
; 0.10 849 
20 °-^° 823 


9 89 712 
9 89 702 
9 89 693 


10 



10 


6 
5 

4 






57 
58 
59 

60 


9 78 886 
9 78 902 
9 78 918 

9 78 934 


i() 
i() 
16 


9 89 203 
9.89 229 
9 89 255 
9 89 281 


26 
26 
26 


O.IO 797 
O.IO 771 
O.IO 745 


9 89 683 
9.89 673 
9 89 663 


10 
10 

10 


3 
2 

1 








O.IO 719 


9 89 653 




L Cos 


d 


L Cot 


cd 


' L Tan 


L Sin 


d 


t 


P P 



52- 



(01) 



38' 



L Sin 



1 
2 
3 

4 
5 
6 

7 
8 
9 

10 

11 
12 
13 

14 
15 
16 

17 
18 
19 

20 

21 
22 
23 

24 
25 
26 

27 
28 
29 

30 

31 
32 
33 

34 
35 
36 

37 
38 
39 

40 

41 
42 
43 

44 
45 
46 

47 
48 
49 

50 

51 
52 
53 

54 
55 
56 

57 
58 
59 

60 



978 934 

9.78 950 
9.78 967 
9 78 983 
9 78 999 
9 79 015 
9 79 031 

9 79 047 
9 79 063 
9 79 079 



9 79 095 



9 79 "I 
9.79 128 

9 79 144 
9.79 160 
9 79 176 
9 79 192 
9.79 208 
9 79 224 
9 79 240 



9 79 256 



9 79 272 
9.79 288 
9 79 304 

9 79 319 
9 79 335 
9 79 351 

9 79 367 
9 79 383 
9 79 399 



9 79 415 



9 79 431 
9 79 447 
9 79 463 
9 79 478 
9 79 494 
9 79 .510 

9 79 526 
9-79 542 
9 79 558 

9 79 573 



9 79 589, 
9 79 605 
9.79 621 

9 79 636 
9 79 652 
9.79 668 

9 79 684 
9 79 699 
9 79 715 



L Tan c d L Cot 



9 79 731 



9 79 746 
9 79 762 
9 79 778 

9 79 793 
9 79 809 
9 79 825 
9 79 840 
9 79 856 
9 79 872 



9 79 887 



16 

17 
16 
lO 

16 
16 
16 

16 
16 
16 

16 

17 
16 
16 

16 
16 
16 

16 
16 
16 

16 

16 
16 
15 
16 
16 
16 

16 
16 
16 

16 

16 
16 

IS 

16 
16 
16 

16 
16 
15 
16 

16 
16 
15 
16 
16 
16 

15 
16 
16 

IS 

16 
16 
15 
16 

16 
15 
16 
16 

IS 



9.89 281 



9 89 307 
9 89 333 
9 89 359 

9 89 385 
9.89 411 
9 89 437 

9 89 463 
9 89 489 
9 89 515 



L Cos 



^^'^ 26 



9.89J41 
9.89 567 
9 89 593 
9.89 619 

9.89 645 
9.89 671 
9 89 697 

9 89 723 
9.89 749 
9 89 775 



9.89 801 



9.89 827 
9 89 853 
9.89 879 

9.89 905 
9 89 931 
9 89 957 

9.89 983 

9.90 009 
9 90 035 



9.90 061 



9.90 086 
9.90 112 
9.90 138 

9.90 164 
9.90 190 
9.90 216 

9.90 242 
9.90 268 
9.90 294 



9.90 320 



9.90 346 
9.90 371 
9 90 397 
9.90 423 
9.90 449 
9 90 475 
9.90 501 
9 90 527 
9 90 553 



9.90 578 



9.90 604 
9.90 630 
9.90 656 

9.90 682 
9.90 708 
990 734 
9.90 759 
9.90 785 
9.90 811 



9.90 837 



25 



o.io 719 



o.io 693 
O.IO 667 
O.IO 641 

O.IO 615 
O.IO 589 
O.IO 563 

O.IO 537 
O.IO 511 
O.IO 485 



O.IO 459 



L Cos 

9 89^53 

9 89 643 1 
9 89 633 
9.89 624 

9.89 614 
9.89 604 
9 89 594 

9 89 584 
9 89 574 
9 89 564 

9 89 554 



O.IO 095 
O.IO 069 
O.IO 043 

O.IO 017 
0.09 991 
0.09 965 



9 89 544 
9 89 534 
9.89 524 

9.89 514 
9.89 504 
9 89 495 
9.^9 485 
9 89 475 
9.89 465 



O.IO 199 9.89 455 



0.09 939 9 89 354 



0.09 914 
0.09 888 
0.09 862 

0.09 836 
0.09 810 
0.09 784 

0.09 758 
0.09 732 
0.09 706 



0.09 654 
0.09 629 
0.09 603 

0.09 577 
0.09 551 
0.09 525 

0.09 499 
0.09 473 
0.09 447 



9 89 445 
9 89 435 
9.89 425 

9.89 415 
9.89 405 
9 89 395 

9 89 385 
9 89 375 
9.89 364 



9 89 344 
9 89 334 
9.89 324 

9.89 314 
9 89 304 
9.89 294 

9.89 284 
9 89 274 
9.89 264 

0.09 680 9.89 254 



0.09 396 
0.09 370 
0.09 344 
0.09 318 
0.09 292 
0.09 266 

0.09 241 
0.09 215 
0.09 189 



9.89 244 
9 89 233 
9.89 223 

9 89 213 
9.89 203 
9.89 193 

9.89 183 
9 89 173 
9.89 162 



0.09 422 9.89 152 



L Cot c d L Tan L Sin 



9.89 142 
9.89 132 
9.89 122 

9.89 112 
9.89 lOI 
9.89 091 

9.89 081 
9.89 071 
9.89 060 



0.09 163 9.89 050 



60 

59 

58 
57 

56 
55 
54 

53 
52 
51 

50 



49 

10 I 48 

10 I 47 

46 

10 I 45 
44 

43 
42 
41 

40 

39 
38 
37 

36 
35 
34 

33 
32 
31 

30 

29 

28 
27 

26 
25 
24 

23 
22 
21 

20 

19 
18 
17 

16 
15 
14 

13 
12 
11 

10 

9 
8 
7 

6 
5 

4 

3 
2 
1 

O 



P P 



26 

2.6 

5-2 

7.8 

10.4 

130 

iS-6 
18.2 
20.8 
23-4 



25 

2.5 
50 
7-5 
10.0 
12. S 
15.0 

17. s 

20.0 

2 2,.S 



17 

1-7 
3.4 
5-1 
6.8 
8.5 
10.2 
11.9 
13.6 
iS-3 



16 

1.6 
3-2 
4.8 
6.4 
8.0 
9.6 
II. 2 
12.8 
14.4 



11 



10 



P P 



15 

.1-5 
30 
4-5 
6.0 
7-5 
g.o 
lo.S 
12.0 
13-5 



I 


I.I 


I.O 


O.Q 


2 


2.2 


2.0 


1.8 


3 


3-3 


30 


2.7 


4 


4.4 


4.0 


3-6 


S 


5-S 


50 


4-5 


6 


6.6 


6.0 


5-4 


7 


7-7 


7.0 


6-3 


« 


8.8 


8.0 


7.2 


9 


9-9 


9.0 


8.1 



(62) 



51 



39 



f 


L Sin 


d 


L Tan c d 


L Cot 


L Cos 


d 




P P I 




1 

2 
3 


9 79 887 

9 79 903 
9 79 918 
9 79 934 


16 

15 
i(j 
10 


9.90 837 


26 

20 

2S 
26 


0.09 163 


9.89 050 


10 

10 
10 


60 

59 
58 
57 






9.90 863 
9.90 889 
9.90 914 


0.09 137 
0.09 III 
0.09 086 


9 89 040 
9.89 030 
9.89 020 


4 
5 
6 


9 79 950 
9 79 965 
9 79 981 


IS 
lO 

15 
16 

IS 

16 

IS 

16 

IS 

16 
15 

lO 


9 90 940 
9.90 966 
9 90 992 


26 
26 
26 


0.09 060 
0.09 034 
0.09 008 


9 89 009 
9 88 999 
9.88 989 




56 
55 
54 






7 
8 
9 

fO 

11 
12 
13 


9 79 996 
9.80 012 
9.80 027 


9.91 018 
9.91 043 
9.91 069 

9.91 095 


25 
26 
26 

26 

26 
25 
26 


0.08 982 
0.08 957 
0.08 931 


9 88 978 i 
9.88 968 • 

9 88 958 ; 




53 
52 
51 

50 

49 

48 
47 


26 


25 

2-5 

so 
7.5 

lO.O 


9.80 043 


0.08 905 


9 88 948 


9.80 058 
9.80 074 
9.80 089 


9.91 121 
9.91 147 
9.91 172 


0.08 879 
0.08 853 
0.08 828 


9 88 937 1 
9.88 927 
9.88 917 


I 
2 
3 
4 


2.0 

10.4 


14 
.15 
16 


9.80 105 
9.80 120 
9.80 136 


9.91 198 
9.91 224 
9 91 250 


26 

2b 

26 

25 
26 
26 

26 

2S 

26 

26 


0.08 802 
0.08 776 
0.08 750 


9.88 906 
9.88 896 
9.88 886 




46 
45 
44 


S 
6 
7 
8 


130 
15.6 
18.2 
20.8 


12. 5 

150 

I7S 
20.0 


17 
18 
19 

20 

21 
22 
23 


9.80 151 
9.80 166 
9.80 182 


IS 

16 
15 
16 

IS 

16 


9.91 276 
9.91 301 
9 91 327 


0.08 724 
0.08 699 
0.08 673 


9 88 875 
9.88 865 
9 88 855 




43 
42 
41 

40 

39 

38 
37 


9 


23-4 


2 2-.5 


9.80 197 


9 91 353 


0.08 647 


9 88 844 




9.80 213 
9.80 228 
9.80 244 


991 379 
9.91 404 
9.91 430 


0.08 621 
0,08 596 
0.08 570 


9 88 834 
9.88 824 
9 88 813 


24 
25 
26 

27 
28 
29 

30 

31 
32 
33 

34 
35 
36 


9 80 259 
9.80 274 
9.80 290 

9.80 305 
9.80 320 
9.80 336 

9 80 351 


IS 

16 
15 

15 
16 

15 
16 
15 

IS 

16 

IS 


9.91 456 
9.91 482 
9.91 507 

9 91 533 
9 91 559 
9 91 585 


26 

2S 
26 

26 
26 
25 
26 

26 
26 
25 

26 
26 
26 


0.08 544 
0.08 518 
0.08 493 

0.08 467 
0.08 441 
0.08 415 


9 88 803 
9 88 793 
9 88 782 

9.88 772 
9.88 761 
9-88 751 




36 
35 
34 

33 
32 
31 

30 

29 
28 
27 

26 
25 
24 


I 
2 
3 
4 
S 
6 
7 
8 
9 


16 

1.6 

H 
4.8 

6.4 

8.0 

9.6 

11.2 

12.8 

14.4 


15 

1-5 

3-0 

4-5 

6.0 

75 

9.0 

IO-5 

12.0 

135 


9.91 610 


0.08 390 


9.88 741 


9.80 366 
9.80 382 
9.80 397 
9.80 412 
9.80 428 
9.80 443 


9.91 636 
9.91 662 
9.91 688 

9 91 713 
9 91 739 
9 91 765 


0.08 364 
0.08 338 
0.08 312 

0.08 287 
0.08 261 
0.08 235 


9 88 730 
9.88 720 
9.88 709 

9 88 699 
9.88 688 
9.88 678 


37 
38 
39 

40 

41 
42 
43 


9 80 458 
9.80 473 
9.80 489 

9.80 504 

9 80 519 
9 80 534 
9 80 550 


IS 

16 

IS 

15 

15 
16 


9.91 791 
9.91 816 
9.91 842 

9.91 868 

9.91 893 
9 91 919 
9 91 945 


2S 
26 
26 

25 

26 
26 
26 


0.08 209 
0.08 184 
0.08 158 


9.88 668 
9 88 657 
9.88 647 




23 
22 
21 

20 

19 
18 
17 


u 


10 


0.08 132 


9.88 636 


0.08 107 
0.08 081 
0.08 055 


9.88 626 
9.88 615 
9 88 605 


44 
45 
46 


9.80 565 
9.80 580 
9 80 595 


15 

IS 
IS 

IS 

16 
15 

15 

IS 
IS 
I 5 


9 91 971 

9.91 996 

9.92 022 


25 

26 
26 


0.08 029 
0.08 004 
0.07 978 


9 88 594 
988 584 
9 88 573 




16 
15 
14 


I 

2 

3 


I.I 

2.2 

Si 


I.O 

2.0 
30 


47 
48 
49 

50 

51 
52 
53 


9.80 610 
9.80 625 
9.80 641 

9.80 656 

9.80 671 
9.80 686 
9.80 701 


9.92 048 
9.92 073 
9.92 099^ 

992 125 

9 92 150 
9 92 176 
9 92 202 


25 

20 
26 

25 

26 

26 

2 i; 


0.07 952 
0.07 927 
0.07 901 


9 88 563 
9 88 552 
9 88 542 




13 
12 
11 

10 

9 
8 
7 


4 
S 
6 
7 
8 
9 


4.4 

5-5 
6.6 
7-7 
8.8 
9.9 


4.0 
so 
6.0 
7.0 
8.0 
9.0 


0.07 875 


9 88 531 


0.07 850 
0.07 824 
0.07 798 


9.88 521 
9.88 510 
I). 88 499 




54 
55 
56 


9.80 716 
9 80 731 
9.80 746 


IS 

15 

lO 


9 92 227 
9 92 253 
9 92 279 


26 
26 

25 

26 
26 
25 


0.07 773 
0.07 747 
0.07 721 


9 88 489 
9.88 478 
9.88 468 


10 


6 
6 
4 






57 
58 
59 

60 


9 80 762 
9 80 777 
9.80 792 

9.80 807 


I 5 

IS 

' IS 

I 


9 92 304 
9 92 330 
9 92 356 


0.07 696 
0.07 670 
0.07 644 


9 88 457 
9 88 447 
9.88 436 


10 


3 
2 

1 








9 92 381 


0.07 619 


9.88 425 




L Cos 


d 


L Cot c d 


' L Tan 


L Sin 


d 


t 


P P 





60 



(63) 



40 



o 


L Sin 


d 


L Tan c d 


L Cot 


L Cos j d 




P P 1 


9.80 807 1 


15 


9 92 381 


26 


0.07 619 


9 88 425 1 


60 






1 


9 80 822 


9.92 407 


26 


0.07 593 


9.88 415 


59 
58 
57 






2 


9 80 837 


IS 


9 92 433 


0.07 567 


9.88404 '' 






3 


9.80 852 


IS 


9.92 458 


25 


0.07 542 


9.88394 \° 






4 


9.80 867 


15 


9.92 484 '^ 
9.92 510 -" 


0.07 516 


988383 


56 
55 

54 






5 


9.80 882 ; 


IS 


0.07 490 


9.88372 '■ 






6 


9.80 897 


IS 
IS 


9 92 535 


25 
2b 


0.07 465 


9.88362 1° 

11 






7 


9.80 912 


9 92 561 


26 


0.07 439 


9.88351 ,, 


53 
52 
51 






8 


9.80 927 


IS 


9.92 587 


0.07 413 


9.88340 '' 






9 


9.80 942 


IS 

15 

IS 


9.92 612 


2S 
26 


0.07 388 


9.88 330 '° 






10 


9.80 957 


9 92 638 


2S 
26 


0.07 362 


9.88 319 \, 


50 


2« 


25 


11 


9.80 972 


9.92 663 


0.07 337 


9.88 308 


49 

48 
47 


I 
2 


5-2 


2.S 

S-o 


12 


9.80 987 


IS 


9.92 689 


0.07 311 


9.88 298 1° 


3 


7.8 


7-5 


13 


9.81 002 


IS 


9 92 715 


2b 


0.07 285 


9.88287 ^' 


4 


10.4 


lO.O 


14 


9.81 017 


IS 


9.92 740 


2S 

26 
26 


0.07 260 


9.88276 


46 
45 
44 


S 
6 


13.0 
IS.6 


I2-S 
15.0 


15 


9.81 032 


IS 


9.92 766 


0.07 234 


9.88 266 ^° 


7 


18.2 


17. s 


16 


9.81 047 


IS 


9.92 792 


0.07 208 


9.88255 ]] 


8 


20.8 


20.0 


17 


9.81 061 


14 


9.92 817 


2S 

26 


0.07 183 


1 1 
9.88 244 


43 
42 
41 

40 

39 
38 
37 


9 


23.4 


22.5 


18 


9.81 076 


IS 


9.92 843 


0.07 157 


9.88234 '° 






19 

20 

21 


9.81 091 


15 

IS 
IS 


9.92 868 


25 
26 

26 


0.07 132 


9.88 223 


I i 
II 

I I 






9.81 106 


9.92 894 


0.07 106 


9.88 212 


9.81 121 


9.92 920 


0.07 080 


9.88 201 


22 


9-8i 136 


IS 


9 92 945 


^5 


0.07 055 


9 88 191 ;v 






23 


9.81 151 


IS 


9.92 971 


26 


0.07 029 


9.88180 " 

ill 






24 


9.81 166 


IS 


9 92 996 


25 
26 


0.07 004 


9.88 169 1^ 


36 
35 
34 






25 


9.81 180 


14 


9 93 022 


0.06 978 


9.88 158 1 " 






26 


9.81 195 


IS 


9 93 048 


26 


0.06 952 


9.88 148 '° 






27 


9.81 210 


IS 


9 93 073 


2S 
26 


0.06 927 


9.88137 " 


33 
32 


15 


14 


28 


9.81 225 


IS 


9 93 099 


0.06 901 


9.88 126 ' " 


I 


1-5 


1.4 


29 
30 


9.81 240 


IS 

14 

IS 


9 93 124 


25 
26 

25 


0.06 876 


9.88 115 


10 
II 


31 
30 


2 
3 
4 
5 
6 


3-0 
4-5 
6.0 
7-5 
9.0 


2.8 
4.2 
5-6 
7 


9.81 254 


9 93 150 


0.06 850 


9.88 105 


31 


9.81 269 


9 93 175 


26 
26 
25 


0.06 825 


9.88 094 '^ 


29 
28 
27 

26 


8.4 


32 


9.81 284 


IS 


9 93 201 


0.06 799 


9.88083 


7 


lo.S 


9.8 


33 


9.81 299 


IS 
15 


9 93 227 


0.06 773 


9.88072 \[ 


8 
9 


12.0 
13-5 


11.2 
12.6 


34 


9.81 314 




9 93 252 


26 


0.06 748 


9.88061 






35 


9.81 328 


14 


9 93 278 


0.06 722 


9.88 051 ° 


25 






36 


9-8i 343 


IS 

15 


9 93 303 


2S 
26 


0.06 697 


9,88040 w 


24 






37 


9 81 358 


9 93 329 




0.06 671 


9.88029 


23 
22 






38 


9.81 372 


14 


9 93 354 


2S 
26 
26 

2S 
26 


0.06 646 


9.88 018 ^^ 






39 

40 

41 
42 


9.81 387 


IS 

15 

IS 

14 


9 93 380 


0.06 620 


9.88 007 


II 
II 


21 

20 

19 
18 






9.81 402 


9 93 406 

9 93 431 
9 93 457 


0.06 594 

0.06 569 
0.06 543 


9.87 996 


9.81 417 
9.81 431 


9.87 985 ,^ 

9.87 975 ! ° 


43 
44 


9.81 446 
9,81 461 


IS 
IS 


9 93 482 
9-93 508 


25 
26 


0.06 518 
0.06 492 


9.87964 \[ 
9.87953 ' ., 


17 
16 


11 


10 


45 
46 


9 81 475 
9.81 490 


14 
15 
15 


9 93 533 
9 93 559 


25 

26 

25 


0.06 467 
0.06 441 


9.87942 
9.87931 , 11 


15 

14 


I 
2 
3 


1 I.I 

2.2 
ii 


I.O 

2.0 
3.0 


47 


9 81 505 




9 93 584 


26 
26 

25 

26 


0.06 416 


9.87920 1 


13 


4 


4.4 


4.0 


48 


9.81 519 


14 


9 93 610 


0.06 390 


9.87909 „ 


12 


S 


5.5 


S-o 


49 
SO 


9 81 534 


IS 

IS 

14 


9 93 636 


0.06 364 


9.87 898 


1 1 
10 


11 
10 


6 
7 
8 
9 


6.6 
7.7 
8.8 
0.0 


6.0 
7.0 
8.0 
9.0 


9.81 549 


9.93 661 


0.06 339 


9.87 887 


51 


9 81 563 




9 93 687 




0.06 313 


987877 II 


9 






52 


9.81 578 


IS 


9 93 712 


25 

26 

25 


0.06 288 


9.87866 1 " 


8 






53 


9 81 592 


14 

15 


9 93 738 


0.06 262 


987 855 




7 






54 


9.81 607 


9 93 763 


26 


0.06 237 


9.87 844 




6 






55 


9.81 622 


IS 


9 93 789 


i 0.06 211 


9 87 833 




5 






56 


9.81 636 


14 


9 93 814 


25 
26 


0.06 186 


9.87 822 




4 






57 


9 81 651 




9 93 840 




0.06 160 


9.87 811 




3 






58 


9.81 665 


14 


9 93 865 


25 

26 

25 


0.06 135 


9.87 800 , ; ^ 


2 






59 
60 


9.81 680 


IS 

14 


9 93 891 


0.06 109 


9.87 789 


II 


1 







9.81 694 


9 93 916 


0.06 084 


9.87 778 




L Cos 


d 


L Cot 


cd 


L Tan 


L Sin d 


/ 


P P 



(64) 



49 



41' 



1 


L Sin 


'd 


L Tan 


cd 


L Cot 


L Cos d 




P P 1 


o 

1 


9.81 694 
9 81 709 


15 


9 93 916 
9 93 942 


26 


0.06 084 


9.87 778 


1 1 


60 

59 






0.06 058 


9.87 767 


2 


9.81 723 


14 


9 93 967 


- s 


0.06 033 


9.87 756 ' ' 


58 






3 


9 81 738 


1 5 
14 


9 93 993 


2(} 


0.06 007 


987 745 1 ;j 


57 






4 


9 81 752 


9.94 018 


26 


0.05 982 


9 87 734 




56 






5 


9.81 767 


15 


9 94 044 


0.05 956 


9 87 723 




55 






6 


9.81 781 


14 


9 94 069 


25 
20 


0.05 931 


9.87 712 




54 






7 


9.81 796 


1 5 


9 94 095 




0.05 905 


9.87 701 




53 






8 


9.81 810 


14 


9.94 120 


25 


0.05 880 


9.87 690 




52 






9 
10 


9.81 825 


IS 
14 

15 


9 94 146 
9 94 171 


26 
26 


0.05 854 
0.05 829 


9 87 679 




51 
50 


26 


25 


9.81 839 


9.87 668 


11 


9 81 854 


9 94 197 




0.05 803 


9.87 657 




49 


I 
2 


2.0 
5-2 


2-5 

5.0 


12 


9.81 868 


14 


9.94 222 


2^ 


0.05 778 


9.87 646 




48 


3 


7.8 


7-5 


13 


9.81 882 


14 


9 94 248 


2O 


0.0s 752 


9 87 635 




47 


4 


10.4 


lO.O 


14 


9.81 897 


15 


9 94 273 


^5 
26 


0.05 727 


9.87 624 




46 


5 
6 


130 

15-6 


12.5 
ISO 


15 


9.81 911 


14 


9 94 299 


0.05 701 


9 87 613 




45 


7 


18.2 


175 


16 


9.81 926 


1 5 


9 94 324 


2 ^ 
2 b 


0.05 676 


9.87 601 




44 


8 


20.8 


20.0 


17 


9.81 940 


14 


9 94 350 


0.05 650 


9 87 590 




43 


9 


234 


22-5 


18 


9 81 955 


IS 


9-94 375 


25 
26 
25 
26 


0.05 625 


9 87 579 




42 






19 
20 

21 


9.81 969 
9.81 983 


14 
14 

15 


9 94 401 
9 94 426 
9 94 452 


0.05 599 


9 87 568 




41 
40 
39 






0.05 574 
0.05 548 


9 87 557 
9.87 546 


9.81 998 


22 


9.82 012 


14 


9 94 477 


25 
26 

2 s 


0.05 523 


9 87 535 




38 






23 


9.82 026 


14 
I c 


9 94 503 


0.05 497 


9.87 524 




37 






24 


9.82 041 


^ 


9 94 528 


^ 
26 


0.05 472 


9 87 513 




36 






25 


982 055 


14 


9 94 554 


0.05 446 


9 87 501 




35 






26 


9.82 069 


14 
15 


9 94 579 


25 


0.05 421 


9.87 490 




34 






27 


9.82 084 


9 94 604 


25 

26 


0.05 396 


9.87 479 




33 


15 


14 


28 


9.82 098 


14 


9 94 630 


0.05 370 


9.87 468 




32 


I 


i-S 


1.4 


29 
30 


9.82 112 
9.82 126 


14 
14 

IS 


9 94 655 
9.94 681 


25 

26 

25 


0.05 345 


9 87 457 




31 
30 


2 
3 
4 
5 
6 


3.0 
4-5 
6.0 
7-5 
9.0 


2.8 
4.2 
S.6 
70 
8.4 


0.05 319 


9.87 446 


31 


9.82 141 


9 94 706 


0.05 294 


9 87 434 




29 


32 


9 82 155 


14 


9 94 732 


20 


0.05 268 


9.87 423 




28 


7 


IO-5 


9.8 


33 


9.82 169 


14 
15 


9 94 757 


25 
2 


0.05 243 


9.87 412 




27 


8 
9 


12.0 
13. S 


II. 2 
12.6 


34 


9.82 184 




9 94 783 




0.05 217 


9.87 401 




26 






35 


9.82 198 


14 


9.94 808 


25 


0.05 192 


9.87 390 




25 






36 


9.82 212 


14 
14 


9 94 834 


2O 


0.05 166 


9.87 378 




24 






37 


9.82 226 


9 94 859 


25 


0.05 141 


9.87 367 




23 






38 


9.82 240 


14 


9 94 884 


25 

26 
25 

26, 


0.05 116 


987 356 




22 






39 
40 

41 


9 82 255 
9.82 269 
9 82 283 


^5 
14 

14 


9 94 910 


0.05 090 
0.05 065 


9 87 345 
9 87 334 




21 
20 

19 






9 94 935 
9 94 961 


0.05 039 


9 87 322 


42 


9.82 297 


14 


9 94 986 


25 

20 
25 


0.05 014 


9.87 3" 




18 






43 


9.82 311 


14 
15 


9 95 012 


0.04 988 


9 87 300 




17 


n 


U 


44 


9.82 326 




9 95 037 




0.04 963 


9.87 288 




16 






45 


9.82 340 


14 


9.95 062 


25 

26 

25 


0.04 938 


9.87 277 




15 


I 


1.2 


I.I 


46 


9 82 354 


14 

14 


9.95 088 


0.04 912 


9.87 266 




14 


3 


2.4 
3.6 


3-5 


47 


9.82 368 


995 "3 


26 


0.04 887 


987 255 




13 


4 


4.8 
6.0 

7.2 
8.4 


4.4 


48 


9.82 382 


14 


9 95 139 


0.04 861 


9 87 243 




12 


s 

5 


5-5 
6.6 


49 


9.82 396 


14 
14 


9 95 164 


25 
20 


0.04 836 


9 87 232 




11 


7 


7-7 


50 


9.82 410 


14 


9 95 190 


25 


0.04 810 


9.87 221 




10 


8 
9 


9.6 
10.8 


8.8 
9.9 


51 


9.82 424 




9 95 215 




0.04 785 


9.87 209 




9 






52 


9 82 439 


IS 


9 95 240 


25 
2 


0.04 760 


9 87 198 




8 






53 


9 82 453 


'4 
14 


9 95 266 


0.04 734 


9.87 187 


J 2 


7 






54 


9.82 467 




9 95 291 


26 


0.04 709 


9 87 175 




6 






55 


9 82 481 


14 


9 95 317 


0.04 683 


9.87 164 




5 






56 


9 82 495 


■ 4 
14 


9 95 342 


25 
20 


0.04 658 


9 87 153 




4 






57 


9 82 509 


9 95 368 




0.04 632 


9 87 141 




3 






58 


9 82 523 


14 


9 95 393 


25 


0.04 607 


9 87 130 




2 






59 
60 


9 82 537_ 
9 82 551 


' 4 
14 


9 95 418 


25 
20 


0.04 582 


987 119 




1 







9 95 444 


0.04 556 


9.87 107 


L Cos 


d 


L Cot 


Cd 


L Tan 


L Sin 


d 


t 


P P 



48 



42' 



L Sin 
9 82 551 



9.82 565 
9.82 579 
9 82 593 

9.82 607 
9 82 621 
9.82 635 

9.82 649 
9.82 663 
9.82 677 



1.82 691 



1 
2 
3 

4 
5 
6 

7 
8 
9 

10 

11 

12 
13 

14 
15 
16 

17 
18 
19 

20 

21 
22 
23 

24 
25 
26 

27 
28 
29 



30 9.82 968 

31 
32 
33 



.82 705 
.82 719 
82 733 

.82 747 
.82 761 
■82 775 
,82 788 
.82 802 
.82 816 



9.82 830 



82 844 
.82 858 
.82 872 

,82 885 
.82 899 
.82 913 

.82 927 
.82 941 
•82 955 



34 
35 
36 

37 
38 
39 

40 

41 
42 
43 

44 
45 
46 

47 
48 
49 

50 

51 
52 
53 

54 
55 
56 

57 
58 
59 

60 



9.82 982 

9.82 996 

9.83 010 

9.83 023 
9 83 037 
9 83 051 
9 83 065 
983 078 
9.83 092 



9.83 106 



9.83 120 
9 83 133 
983 147 
9 83 161 
9 83 174 
9.83 188 

9.83 202 
9 83 215 
9.83 229 



9.83 242 



9 83 256 
9 83 270 
983 283 
9.83 297 
9 83 310 
983 324 

9 83 338 
9 83 351 
9 83 365 
9 83 378 

L Cos 



14 

14 

14 
14 

14 
14 
14 

14 
14 
14 

14 

14 

14 
14 

14 
14 
13 

14 
14 
14 

14 

14 

14 



14 
14 
14 

14 
14 
13 

14 

14 
14 
13 

14 
14 
14 

13 
14 
14 

14 

13 
14 
14 

13 
14 
14 

13 
14 
13 

14 

14 

13 
14 

13 
14 

14 



14 



L Tan 

995 444 

9 95 469 
9 95 495 
9 95 520 

9 95 545 
9 95 571 
9 95 596 
9.95 622 
9 95 647 
9 95 672 



9 95 698 



9 95 723 
9 95 748 
9 95 774 

9 95 799 
9 95 825 
9 95 850 

9 95 875 
9 95 901 
9 95 926 



9 95 952 



9 95 977 
9.96 002 
9.96 028 

9 96 053 
9.96 078 
9.96 104 

9.96 129 
9 96 155 
9.96 180 



9.96 205 



9.96 231 
9.96 256 
9.96 281 

9.96 307 
9 96 332 
9 96 357 

9 96 383 
9.96 408 
9 96 433 



9 96 459 



9.96 484 
9.96 510 
996 535 
9.96 560 
9.96 586 
9.96 611 

9.96 636 
9.96 662 
9.96 687 



9.96 712 



9.96 738 
9.96 763 
9.96 788 

9.96 814 
9.96 839 
9.96 864 

9.96 890 
9.96 915 
9 96 940 
9.96 966 

L Cot 



cd 



25 

25 
26 

25 
25 

26 
25 
26 
25 
25 
26 
25 
26 

25 

25 
26 

25 

25 
26 

25 
26 
25 
25 

26 

25 
25 

26 

25 
25 
26 

25 

25 

26 

25 
26 
25 
25 
26 
25 
25 
26 
25 

25 

26 

25 
25 
26 

25 
25 
26 

25 

25 
26 



cd 



L Cot 
0.04 556 



0.04 531 
0.04 505 
0.04 480 

0.04 455 
0.04 429 
0.04 404 

0.04 378 
0.04 353 
0.04 328 



0.04 302 



0.04 277 
0.04 252 
0.04 226 

0.04 201 
0.04 175 
0.04 150 

0.04 125 
0.04 099 
0.04 074 



0.04 048 



0.04 023 
0.03 998 
0.03 972 

0.03 947 
0.03 922 
0.03 896 

0.03 871 
0.03 845 
0.03 820 



0.03 795 



0.03 769 
0.03 744 
0.03 719 

0.03 693 
0.03 668 
0.03 643 

0.03 617 
0.03 592 
0.03 567 



0.03 541 



0.03 516 
0.03 490 
0.03 465 

0.03 440 
0.03 414 
0.03 389 

0.03 364 
0.03 338 
0.03 313 



0.03 288 



0.03 262 
0.03 237 
0.03 212 

0.03 186 
0.03 161 
0.03 136 

0.03 no 
0.03 085 
0.03 060 



L Cos 
9.87 107 



9.87 096 
987 085 
9.87 073 

9.87 062 
9.87 050 
9.87 039 

9.87 028 
9.87 016 
9 87 005 



9 86 993 



9.86 982 
9.86 970 
9 86 959 

9 86 947 
9.86 936 
9.86 924 

9 86 913 
9.86 902 
9.86 890 



9.86 879 



9.86 867 
9 86 855 
9.86 844 

9.86 832 
9.86 821 
9.86 809 

9.86 798 
9.86 786 
9 86 775 



0.03 034 



9.86 763 



9 86 752 
9.86 740 
9.86 728 

9.86 717 
9 86 705 
9.86 694 

9.86 682 
9.86 670 
9.86 659 



9.86 647 



9 86 635 
9.86 624 
9.86 612 

9.86 600 
9 86 589 
9 86 577 

9-86 565 
9 86 554 
9.86 542 



9 86 530 



9.86 518 
9 86 507 
9 86 495 

9 86 483 
9.86 472 
9.86 460 

9.86 448 
9.86 436 
9.86 42s 



9.86 413 



L Tan 



L Sin 



60 

59 

58 
57 

56 
55 
54 

53 
52 
51 

50 

49 

48 
47 

46 
45 

44 

43 
42 
41 

40 

39 
38 
37 

36 
35 
34 

33 
32 
31 

30 

29 
28 
27 

26 
25 

24 

23 
22 
21 

20 

19 
18 
17 

16 
15 
14 

13 
12 
11 

10 

9 

8 
7 

6 
5 

4 

3 
2 
1 



P P 



26 

2.6 
5-2 
7-8 
10.4 
I3-0 
15-6 
18.2 
20.8 
23-4 



14 

1.4 
2.8 
4.2 
5.6 
7.0 
8.4 
9.8 
II. 2 
12.6 



12 

1.2 
2.4 
3-6 
4.8 
6.0 
7.2 
8.4 
9.6 
10.8 



25 

2-5 

5.0 

7-S 

lO.O 

12. S 
150 
17-5 
20.0 
22. s 



P P 



13 

1-3 
2.6 
3-9 
S-2 
6.S 
7.8 
9.1 
10.4 
II. 7 



u 

I.I 

2.2 

3-3 
4.4 
5-S 
6.6 
7-7 



(66) 



47< 



43 



t 


L Sin 


d 


L Tan 


Cd 


L Cot 


L Cos 


d 




P P 1 


o 


9 83 378 


14 


9.96 966 


25 


0.03 034 


9 86 413 


1 2 


60 






1 


9 83 392 


9.96 991 


0.03 009 


9.86 401 




59 






2 


9 83 405 


1.5 


9.97 016 


-■^ 0.02 984 


9.86389 '- 


58 






3 


9 83 419 


14 


9 97 042 


-J] 0.02 958 


9.86377 [I 


57 






4 


9 83 432 


13 


9 97 067 


'^ 0.02 933 


9.86 366 


56 






5 


9.83 446 


14 


9 97 092 


-^ 0.02 908 


986354 " 


55 






6 


9 83 459 


i.i 


9 97 "8 


2() 


0.02 882 


9.86342 J; 


54 






7 


9 83 473 


14 


9 97 143 


-0 


0.02 857 


9.86 330 


53 






8 


983 486 


13 


9.97 168 


--'' 


0.02 832 


9.86318 I: 


52 






9 
10 


9.83 500 
9 83 513 


14 
13 

14 


9 97 193 


-5 

20 
25 


0.02 807 


9.86 306 


1 1 


51 
50 


26 


25 


9 97 219 


0.02 781 


9.86 295 


1 2 


11 


9 83 527 


9 97 244 


0.02 756 


9.86 283 




49 


I 

2 


2.0 

5-2 


2.S 

SO 


12 


9 83 540 


1 .5 


9 97 269 


2^ 


0.02 731 


9.86 271 '- 


48 


3 


7.8 


7S 


13 


983 554 


14 


9 97 295 


2 


0.02 705 


9.86 259 ' ; 


47 


4 


10.4 


lO.O 


14 


9 83 567 


13 


9 97 320 


-5 


0.02 680 


9.86 247 


46 


S 
6 


130 
iS-6 


12-5 

150 


15 


9 83 581 


14 


9 97 345 


-5 


0.02 655 


9.86235 \~, 


45 


7 


18.2 


I7S 


16 


9 83 594 


1 .5 


9 97 371 


2() 


0.02 629 


9.86 223 /; 


44 


8 


20.8 


20.0 


17 


9.83 608 


14 


9 97 396 


25 


0.02 604 


9.86 211 


43 





234 


22.5 


18 


9.83 621 


1,5 


9 97 421 


25 

26 
25. 

25 
26 


0.02 579 


9.86 200 ' ' 


42 






19 
20 

21 


9 83 634 


13 
14 

13 


9 97 447 
9 97 472 
9 97 497 


0.02 553 


9.86 188 


1 2 


41 
40 
39 






9 83 648 
9.83 661 


0.02 528 


9.86 176 


12 


0.02 503 


9.86 164 




22 


9.83 674 


13 


9 97 523 


0.02 477 


9.86 152 j ;; 


38 






23 


9.83 688 


14 
13 


9 97 548 


25 

25 


0.02 452 


9.86 140 \l 


37 






24 


9.83 701 


9 97 573 


0.02 427 


9.86 128 


36 






25 


9 83 715 


14 


9 97 598 


-'"> 


0.02 402 


9,86 116 ^2 


35 






26 


9.83 728 


13 

13 


9 97 624 


2(> 
25 


0.02 376 


9.86 104 ^^ 


34 


14 


13 


27 


9 83 741 




9 97 649 




0.02 351 


9.86 092 ' 


33 








28 


9 83 755 


14 


9 97 674 


25 


0.02 326 


9.86 080 ^- 


32 


I 


1.4 
2.8 


1-3 
2.6 


29 
30 

31 


9 83 768 
9.83 781 
9 83 795 


13 

13 

14 


9 97 700 
9 97 725 
9 97 750 


26 
25 

25 

26 


0.02 300 


9.86068 ' J; 
9.86 056 J 
9.86 044 ', , 


31 
30 
29 


3 
4 
5 
6 


4.2 
5-6 
7.0 
8.4 
9.8 
II. 2 


3-9 

5-2 

6..S 
7.8 


0.02 275 


0.02 250 


32 


9.83 808 


13 


9 97 776 


0.02 224 


9.86032 '; 


28 


7 
8 


9.1 
10.4 


33 


9 83 821 


13 


9.97 801 


25 


0.02 199 


9.86 020 '" 

1 12 


27 


9 


12.6 


II. 7 


34 


9 83 834 


^ 3 


9.97 826 


- ^ 


0.02 174 


9.86 008 


26 






35 


9 83 848 


14 


9 97 851 


25 


0.02 149 


985996 \l 


25 






36 


9.83 861 


13 


9 97 877 


-^ 0.02 123 
0.02 098 


985984 [I 


24 






37 


9 83 874 


^3 


9 97 902 


985972 ' 


23 






38 


9 83 887 


13 


9 97 927 


-^ 0.02 073 


9.85960 ; 


22 






39 


9.83 901 


14 
13 

13 


9 97 953 


20 
25 

25 

26 


0.02 047 


985948 ;; 


21 






40 

41 


9.83 914 
9.83 927 


9 97 978 


0.02 022 


9 85 936 
9 85 924 


12 


20 

19 






9 98 003 


O.OI 997 


42 


9.83 940 


13 


9.98 029 


0.01 971 


9.85912 '; 


18 






43 


9 83 954 


14 


9.98 054 


25 


O.OI 946 


9.85 900 ^; 


17 


12 


11 


44 


9.83 967 


^ 3 


9.98 079 


O.OI 921 


9.85 888 


16 


I 


1.2 


I.I 


45 


9.83 980 


13 


9.98 104 


'J 1 o.oi 896 
-'^ I O.OI 870 


9.85876 J; 


15 


2 


2.4 


2.2 


46 


9 83 993 


I 3 


9 98 130 


9.85 864 '- 


14 


3 


3-6 
4.8 


3-3 






13 




25 




'-> 




4 


4.4 


47 


9.84 006 




9 98 155 




O.OI 845 


985851 1 ^, 


13 


S 


6.0 


S-5 


48 


9.84 020 


14 


9.98 180 


25 

26 

25 


O.OI 820 


985839 ; 


12 


6 


7-2 


6.6 


49 


9 84 033 


13 
13 

13 


9.98 206 


O.OI 794 


985827 ; I; 


11 


I 


8.4 
9.6 


7-7 
8.8 


50 

51 


9.84 046 
9.84 059 


9 98 231 
9.98 256 


25 


O.OI 769 


9 85 81S 


1 2 


10 

9 


9 


10.8 


9.9 


O.OI 744 


9 85 803 




52 


9 84 072 


I .> 


9.98 281 


25 

2() 
25 


O.OI 719 


985791 ;! 


8 






53 


9 84 085 


i.^ 


9.98 307 


O.OI 693 


9 85 779 I3 


7 






54 


9.84 098 


^ -3 


9 98 332 


O.OI 668 


9 85 766 ^ 


6 






55 


984 112 


J 4 


9 98 357 


26 


O.OI 643 


985 754 .: 


5 






56 


9 84 125 


I s 

T • 


9 98 383 


O.OI 617 


985 742 \; 


4 






57 


9 84 138 


^ ^ 


9.98 408 


25 


O.OI 592 


9 85 730 




3 






58 


9.84 151 


I.^ 


9 98 433 


25 


O.OI 567 


9 85 718 


' ' 


2 






59 


9.84 164 


1.5 


9.98 458^ 


25 
26 


O.OI 542 


9 85 706 


1 2 
13 


1 






60 


9,84 177 




9.98 484 




O.OI 516 


9 85 693 











_ 


L Cos 


d 


LCot 


Cd 


LTan 


LSin 


d 


1 


P P 



46" 



((i7) 



44' 



1 


L Sin 


d 


L Tan 


cd 


L Cot 


L Cos d 

1 




P P 




1 

2 

3 


9.84 177 

9.84 190 
9.84 203 
9.84 216 


13 

13 
13 


9.98 484 


25 
25 

26 


o.oi 516 


9 85 693 




60 

59 
58 
57 




9.98 509 
9 98 534 
9.98 560 


0.01 491 
O.OI 466 
0.01 440 


9.85 681 
9 85 669 
9 85 657 


12 

1 2 


4 
5 
6 


9.84 229 
9.84 242 
9 84 255 


13 

13 
13 


9 98 585 
9.98 610 
9 98 635 


25 
25 

26 


0.01 415 
0.01 390 
0.01 365 


985 645 ' 
9 85 632 
9.85 620 


13 
1 2 


56 
55 
54 




7 
8 
9 

10 

11 
12 
13 


9.84 269 
9.84 282 
9.84 295 


13 
13 
13 

13 

13 
13 


9.98 661 
9.98 686 
9.98 711 

9 98 737 


25 

25 
26 

25 

25 

25 
'6 


0.01 339 
0.01 314 
0.01 289 


9.85 608 
9 85 596 
9 85 583 


12 
13 
12 

T? 


53 
52 
51 

50 

49 

48 
47 




9.84 308 


0.01 263 


9 85 571 


9 84 321 
9 84 334 
9 84 347 


9.98 762 
9 98 787 
9.98 812 


0.01 238 
0.01 213 
0.01 188 


9 85 559 
9 85 547 
9 85 534 


I 2 
13 


14 
15 
16 


9 84 360 
9 84 373 
9 84 385 


13 
1 2 


9.98 838 
9 98 863 
9.98 888 


25 
25 


0.01 162 
0.01 137 
0.01 112 


9.85 522 : 
9.85510 ]: 
9.85 497 ]■", 


46 

45 
44 


26 25 


17 
18 
19 

20 

21 
22 
23 


9 84 398 
9.84 411 
9.84 424 


13 

13 
13 
13 

13 

13 

13 


9.98 913 
9 98 939 
9.98 964 


26 

25 
25 

26 

25 
25 


0.01 087 
0.01 061 
0.01 036 


9 85 485 
9 85 473 
9.85 460 


13 
12 

T ?. 


43 
42 
41 

40 

39 
38 
37 


I 
2 

3 
4 
5 
6 
7 
8 
9 


2.6 2.5 

5-2 5-0 

7-8 7-5 

10.4 lO.O 

130 I2.S 

15.6 rs.o 
18.2 17.S 
20.8 20.0 

23.4 22.5 


9 84 437 


9.98 989 


0.01 on 


9.85 448 


9.84 450 
9.84 463 
9.84 476 


9 99 015 
9 99 040 
9 99 065 


0.00 985 
0.00 960 
0.00 935 


9 85 436 
9 85 423 
9.85 411 


13 


24 
25 
26 


9.84 489 
9.84 502 
9 84 515 


13 
13 


9 99 090 
9.99 116 
9 99 141 


26 

25 


0.00 910 
0.00 884 
0.00 859 


9 85 399 ■ , 
9.85 386 ^, 
985374 '; 


36 
35 
34 




27 
28 
29 

30 

31 
32 
33 


9 84 528 
9.84 540 
9 84 553 
9.84 566 


12 
13 
13 

13 

13 
13 


9.99 166 
9 99 191 
9 99 217 


25 

2t> 
25 

25 
26 

25 

25 

25 

26 
25 
25 

25 

26 

25 
25 

25 

26 

20 


0.00 834 
0.00 809 
0.00 783 


9 85 361 
9 85 349 
9 85 337 


12 
I 2 
13 
12 

13 
12 

I S 


33 
32 
31 

30 

29 
28 
27 




9 99 242 


0.00 758 


9 8s 324 


9 84 579 
9.84 592 
9 84 605 


9 99 267 
9 99 293 
9 99 318 


0.00 733 
0.00 707 
0.00 682 


9 85 312 
9.85 299 
9.85 287 


34 
35 
36 


9.84 618 
9.84 630 
9.84 643 


12 
13 


9 99 343 
9 99 368 
9 99 394 


0.00 657 
0.00 632 
0.00 606 


9 85 274 
9.85 262 
985 250 


I 2 
I 2 
7 1 


26 
25 
24 




37 
38 
39 

40 

41 
42 
43 

44 
45 
46 


9.84 656 
9.84 669 
9.84 682 

9,84 694 

9.84 707 
9.84 720 
9 84 733 

9 84 745 
9 84 758 
9.84 771 


13 
13 

12 

13 

13 
13 

12 

13 
13 


9 99 419 
9 99 444 
9 99 469 

9 99 495 


0.00 581 
0.00 556 
0.00 531 


9 85 237 
9 85 225 
9.85 212 


12 
13 

12 

13 
I 2 
13 

12 

13 

12 
T S 


23 
22 
21 

20 

19 
18 
17 

16 
15 
14 


I 

2 
3 
4 
5 
6 
7 
8 
9 


14 13 12 

1.4 1-3 1-2 

2.8 2.6 2.4 
4-2 30 3-6 
S.6 5.2 4.8 
7.0 6.5 6.0 
8.4 7-8 7-2 
Q.8 g.i 8.4 
11.2 10.4 g.6 
12.6 II. 7 10.8 


0.00 505 


9.85 200 


9 99 520 
9 99 545 
9 99 570 

9 99 596 
9.99 621 
9 99 646 


0.00 480 
0.00 455 
0.00 430 

0.00 404 
0.00 379 
0.00 354 


9 85 187 
9 85 175 
9.85 162 

9 85 150 
9 85 137 
9 85 125 


47 
48 
49 

50 

51 
52 
53 


9.84 784 
9.84 796 
9.84 809 

9.84 822 

9 84 835 
9.84 847 
9.84 860 


1 2 
13 
13 

13 

12 
13 


9 99 672 
9 99 697 
9 99 722 


25 
25 
25 

26 

25 
25 
25 


0.00 328 
0.00 303 
0.00 278 


9.85 112 
9.85 100 
9.85 087 


I 2 
13 
13 

12 

13 
12 


13 
12 
11 

10 

9 
8 
7 




9 99 747 

9 99 773 
9 99 798 
9 99 823 


0.00 253 


9.85 074 


0.00 227 
0.00 202 
0.00 177 


9.85 062 
9.85 049 
9 85 037 


54 
55 
56 


9.84 873 
984 885 
9.84 898 


1 2 
13 


9 99 848 
9 99 874 
9 99 899 


26 
25 

25 


0.00 152 
0.00 126 
0.00 lOI 


9.85 024 
9.85 012 
9 84 999 


12 
13 

I ^ 


6 
5 

4 




57 
58 
59 

60 


9.84 911 
9.84 923 
9,84 936 

9.84 949 


1 2 
13 

I 13 


9 99 924 
9 99 949 
9 99 975 


20 
25 


0.00 076 
0.00 051 
0.00 025 


9.84 986 
9.84 974 
9.84 961 


I 2 
13 
12 


3 
2 

1 






0.00 000 


0.00 000 


9 84 949 




LCos 


: d 


L Cot 


Cd 


L Tan 


L Sin 


d 


1 


P P 



(68) 



45' 



TABLE III 

LOGARITHMS 

OF THE 

TRIGONOMETRIC FUNCTIONS 



From 0° 0' to 0° 3', and from 89° 57' to 90°, for every second. 
From 0° to 2°, and from 88° to 90°, for every ten seconds. 

Note. — The characteristic of every logarithm in the following table is too 
large by 10. Therefore, — 10 should be written after every logarithm. 





L Sin and L Tan 





° 


L Sin and L Tan 




n 


0' 


1' 


'2' 


n 


n 


O' 


1' 


12' 


II 



I 

2 

3 
4 


4 68 557 
4.98 660 

5 16 270 
5 .28 763 


6.46 373 

6.47 090 

6.47 797 

6.48 492 

6.49 175 


6.76 476 
6.76836 

6.77 193 
6.77 548 
6.77 900 


60 

59 

58 
57 
56 


30 

31 
32 
33 
34 


6.16 270 

6.17 694 

6.19 072 

6.20 409 

6.21 705 


6.63 982 

6.64 462 

6.64 936 

6.65 406 
6.65 870 


6.86 167 
6.86 455 

6.86 742 

6.87 027 
6.87 310 


30 

29 

28 
27 
26 


5 
6 
7 
8 
9 


538454 
546 373 
5-53 067 
5.58 866 
5 63 982 


6.49 849 

6.50 512 

6.51 165 

6.51 808 

6.52 442 


6.78 248 
6.78 595 

6.78 938 

6.79 278 
6.79 616 


55 
54 
53 
52 
51 


35 
36 
37 
38 
39 


6.22 964 

6.24 188 

6.25 378 

6.26 536 

6.27 664 


6.66 330 

6.66 785 

6.67 235 

6.67 680 

6.68 121 


6.87 591 

6.87 870 

6.88 147 
6.88 423 
6.88 697 


25 
24 
23 
22 
21 


10 

II 

12 

13 
14 


5.68 557 
5.72 697 
5.76 476 
5 79 952 
5 83 170 


6.53 067 

6.53 683 

6.54 291 

6.54 890 

6.55 481 


6.79 952 

6.80 285 
6.80 615 

6.80 943 

6.81 268 


50 

49 
48 
47 
46 


40 

41 
42 
43 
44 


6.28 763 

6.29 836 

6.30 882 

6.31 904 

6.32 903 


6.68 557 

6.68 990 

6.69 418 

6.69 841 

6.70 261 


6.88 969 
6 89 240 

6.89 509 

6.89 776 

6.90 042 


20 

19 
18 
17 
16 


15 
i6 
17 
i8 
19 


5 86 167 
5 88 969 
5.91 602 
5 94 085 
5 96 433 


6.56 064 

6.56 639 

6.57 207 

6.57 767 

6.58 320 


6.81 591 

6.81 911 

6.82 230 
6.82 545 
6.82 859 


45 
44 
43 
42 
41 


45 
46 
47 
48 
49 


6.33879 

6.34 833 

6.35 767 

6.36 682 

6.37 577 


6.70 676 

6.71 088 
6.71 496 

6.71 900 

6.72 300 


6 90 306 
6 90 568 

6.90 829 
6 91 088 

6.91 346 


15 
14 
13 
12 
II 


20 

21 
22 
23 
24 


5.98 660 
6.00 779 
6.02 800 
6.04 730 
6.06 579 


6.58 866 

6.59 406 

6.59 939 

6.60 465 
6.60 985 


6.83 170 
6.83 479 

6.83 786 

6.84 091 
6.84 394 


4() 

39 

38 
37 
36 


50 

51 
52 
53 
54 


6.38 454 
6.39315 
6.40 158 

6.40 985 

6.41 797 


6.72 697 

6.73 090 
6.73 479 

6.73 865 

6.74 248 


6 91 602 
6 91 857 
6.92 110 
6.92 362 
6.92 612 


10 

7 
6 


25 
26 
27 
28 
29 


6.08 351 

6.10 055 

6.1 1 694 

6.13 273 

6.14 797 


6.61 499 

6.62 007 

6.62 509 

6.63 006 
6.63 496 


6.84 694 

6.84 993 

6.85 289 
6.85 584 
6.85 876 


35 
34 
33 
32 
31 


55 
56 
57 
58 
59 


6.42 594 

6.43 376 

6.44 145 
6.44 900 
6 45 643 


6.74 627 

6.75 003 
6.75 376 

6.75 746 

6.76 112 


6 92 861 
6.93 109 
6.93 355 
6 93 599 
6 93 843 


5 

4 
3 
2 
I 


30 


6.16 270 


6.63 982 


6.86 167 


30 


GO 


6.46 373 


6.76 476 


6.94 085 





If 


59' 


58' 


57' 


II 


ff 


59' 


58' 


57' 


II 



L Cos and L Cot 



89 



L Cos and L Cot 



(69) 







t It 


L Sin 


L Tan 


L Cos 


II 1 


1 II 


L Sin 


L Tan 


L Cos 


'/ 1 





_^ 




10 00000 


60 


10 


746373 


746373 


10 00000 


50 


10 


568557 


568557 


10 00000 


50 


10 


7 47090 


7.47091 


10.00000 


50 


20 


5 98 660 


5 98 660 


10 00000 


40 


20 


7 47 797 


7 47 797 


10.00000 


40 


30 


6 16270 


6 16270 


10 00000 


30 


30 


7.48 491 


7.48492 


10.00000 


30 


40 


628763 


628763 


10 00000 


20 


40 


7 49175 


7 49 176 


10.00000 


20 


50 


638454 


638454 


10 00000 


10 


50 


7.49849 


7.49849 


10.00000 


10 


1 


646373 


6.46373 


10 00000 


59 


11 


750512 


7 50512 


10 00000 


49 


10 


6 53 067 


653067 


10 00000 


50 


10 


7 51 165 


7 51 165 


10.00000 


50 


20 


6 58 866 


658866 


10 00000 


40 


20 


7 51 808 


7.51 809 


10.00000 


40 


30 


6 63 982 


6 63 982 


10 00000 


30 


30 


7 52442 


7 52 443 


10.00000 


30 


40 


6.68557 


668557 


10 00000 


20 


40 


7 53067 


7 53 067 


10.00000 


20 


50 


6.72 697 


6 72 697 


10.00000 


10 


50 


7 53 683 


7-53 683 


10.00000 


10 


2 o 


6.76476 


6.76476 


10.00000 


58 


12 


7-54291 


754291 


10.00000 


48 


10 


679952 


6.79952 


10.00000 


50 


10 


7 54 890 


7-54890 


10.00000 


50 


20 


6.83 170 


6.83 170 


10.00000 


40 


20 


7 55481 


7 55481 


10.00000 


40 


30 


6.86167 


6.86167 


10.00000 


30 


30 


7.56064 


7.56064 


10.00000 


30 


40 


688969 


688969 


10 00000 


20 


40 


756639 


7 56639 


10.00000 


20 


SO 


6 91 602 


6 91 602 


10.00000 


10 


50 


757206 


7.57207 


10.00000 


10 


3 o 


6.94085 


6.94 085 


10 00000 


57 


13 


7 57767 


757767 


10.00000 


47 


10 


696433 


696433 


10.00000 


50 


10 


7 58320 


7 58320 


10.00000 


50 


20 


6 98 660 


6 98 661 


10.00000 


40 


20 


7.58866 


758867 


10.00000 


40 


30 


7.00 779 


7.00 779 


10.00000 


30 


30 


7.59406 


7.59406 


10.00000 


30 


40 


7 02 800 


7.02 800 


10.00000 


20 


40 


7 59 939 


7 59 939 


10.00000 


20 


50 


7.04730 


7.04 730 


10.00000 


10 


50 


7.60465 


7.60466 


10.00000 


10 


4 


7.06 579 


7.06579 


10.00000 


56 


14 


7.60985 


7.60 986 


10.00000 


46 


10 


708351 


708352 


10.00000 


50 


10 


7 61 499 


7.61 500 


10.00000 


50 


20 


7 10055 


7 10055 


10 00000 


40 


20 


7.62 007 


7.62 008 


10.00000 


40 


30 


7. II 694 


7 II 694 


10 00000 


30 


30 


7 62 509 


7 62 510 


10.00000 


30 


40 


7 13273 


7 13273 


10.00000 


20 


40 


7.63 006 


7.63 006 


10.00000 


20 


50 


7.14797 


7.14797 


10.00000 


10 


50 


7.63 496 


7 63 497 


10.00000 


10 


5 o 


7.16270 


7.16270 


10.00000 


55 


15 


7 63 982 


7 63 982 


10.00000 


45 


lO 


7.17694 


7 17694 


10.00000 


50 


10 


7.64461 


7.64462 


10.00000 


50 


20 


7.19072 


7.19073 


10 00000 


40 


20 


7.64936 


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7.20 409 


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7.65406 


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7.22 964 


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7.70 261 


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7.70676 


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7.71 088 


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7.71 496 


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7.40 158 


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7.44900 


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7.80 284 


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7.99092 


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7.87 026 


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7.90 041 


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50 


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20 


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50 


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40 


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20 


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20 


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25 


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50 


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50 


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40 


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40 


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30 


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30 


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20 


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20 


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50 


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40 


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40 


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30 


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20 


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20 


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50 


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40 


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30 


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9.99982 


30 


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9 99 985 


20 


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8.46 240 


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20 


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8.41 726 


9 99 985 


10 


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10 


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20 


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10 


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50 


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50 


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20 


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19 


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9 99 981 


50 


10 


8.50 963 


8.50 985 


9 99 977 


50 


20 


8.46 942 


8.46 960 


9 99 981 


40 


20 


8.51 028 


8.51 050 


9 99 977 


40 


30 


8.47013 


8.47 032 


9 99 981 


30 


30 


8.51 092 


8.51 015 


9 99 977 


30 


40 


8.47 084 


8.47 103 


9 99 981 


20 


40 


8.51 157 


8.51 180 


9 99 977 


20 


50 


8.47 155 


8.47 174 


999981 


10 


50 


8.51 222 


8.51 245 


9 99 977 


10 


42 


8.47 226 


8.47 245 


9 99 981 


18 


52 


8.51 287 


8.51 310 


9 99 977 


8 


10 


8.47 297 


8.47 316 


999981 


50 


10 


8.51 351 


8.51 374 


9.99977 


50 


20 


8.47 368 


8.47 387 


999981 


40 


20 


8.51 416 


8.51 439 


9 99 977 


40 


30 


8.47 439 


8.47 458 


999981 


30 


30 


8.51 480 


8.51 503 


999977 


30 


40 


8.47 509 


8.47 528 


999981 


20 


40 


8.51 544 


8.51 568 


9 99 977 


20 


50 


8.47 580 


8.47 599 


999981 


10 


50 


8.51 609 


8.51 632 


9 99 977 


10 


43 


8.47 650 


8.47 669 


9 99 981 


17 


53 


8.51 673 


8.51 696 


999977 


7 


10 


8.47 720 


8.47 740 


9 99 980 


50 


10 


8.51 737 


8.51 760 


9.99976 


50 


20 


8.47 790 


8.47 810 


9 99 980 


40 


20 


8.51 801 


8.51 824 


9 99 976 


40 


30 


8,47 860 


8.47 880 


9 99 980 


30 


30 


8.51 864 


8.51 888 


9 99 976 


30 


40 


8.47 930 


8.47 950 


9 99 980 


20 


40 


8.51 928 


8.51 952 


9 99 976 


20 


50 


8.48 000 


8.48 020 


9 99 980 


10 


50 


8.51 992 


8.52 015 


9 99 976 


10 


44 


8 48 096 


8.48 090 


9 99 980 


16 


54 


8.52 055 


8.52 079 


9 99 976 


6 


10 


8.48 139 


8.48 159 


9 99 980 


50 


10 


8.52 119 


8.52 143 


9 99 976 


50 


20 


8.48 208 


8.48 228 


9 99 980 


40 


20 


8.52 182 


8.52 206 


999976 


40 


30 


8.48 278 


8.48 298 


9 99 980 


30 


30 


8.52 245 


8.52 269 


999976 


30 


40 


8.48 347 


8.48 367 


9 99 980 


20 


40 


8.52 308 


8.52 332 


9 99 976 


20 


50 


8.48416 


8.48 436 


9 99 980 


10 


50 


8.52371 


8.52 396 


9.99976 


10 


45 


8.48 485 


8.48 505 


9 99 980 


15 


55 


8.52 434 


8.52 459 


9 99 976 


5 


10 


8.48 554 


8.48 574 


9 99 980 


50 


10 


8.52 497 


8.52 522 


9 99 976 


50 


20 


8.48 622 


8.48 643 


9 99 980 


40 


20 


8.52 560 


8.52 584 


9 99 976 


40 


30 


8.48 691 


8.48 711 


9 99 980 


30 


30 


8.52 623 


8.52 647 


9 99 975 


30 


40 


8.48 760 


8.48 780 


9.99979 


20 


40 


8.52 685 


8.52 710 


9 99 975 


20 


50 


8.48 828 


8.48 849 


9 99 979 


10 


50 


8.52 748 


8.52 772 


9 99 975 


10 


46 


8.48 896 


8.48 917 


9 99 979 


14 


56 


8.52 810 


8.52 835 


9 99 975 


4 


10 


8.48 96s 


8.48 98s 


9 99 979 


50 


10 


8.52 872 


8.52 897 


9 99 975 


50 


20 


8.49 033 


8.49 053 


9 99 979 


40 


20 


8.52935 


8.52 960 


9 99 975 


40 


30 


8.49 lOI 


8.49 121 


9 99 979 


30 


30 


8.52 997 


8.53 022 


9 99 975 


30 


40 


8.49 169 


8.49 189 


9 99 979 


20 


40 


8.53 059 


8.53 084 


9 99 975 


20 


50 


8.49 236 


8.49 257 


9 99 979 


10 


50 


8.53 121 


8.53 146 


9 99 975 


10 


47 


8.49 304 


8.49 325 


9 99 979 


1;? 


57 


8.53 183 


8.53 208 


9 99 975 


3 


10 


8.49 372 


8 49 393 


9 99 979 


50 


10 


8.53 245 


8.53 270 


9 99 975 


50 


20 


8.49 439 


8.49 460 


9 99 979 


40 


20 


8.53 306 


8.53 332 


9 99 975 


40 


30 


8.49 506 


8.49 528 


9 99 979 


30 


30 


8.53 368 


8 53 393 


9 99 975 


30 


40 


8.49 574 


8.49 595 


9 99 979 


20 


40 


8.53 429 


8 53 455 


9 99 975 


20 


50 


8.49 641 


8.49 662 


9 99 979 


10 


50 


8.53 491 


8.53516 


9 99 974 


10 


48 


8.49 708 


8.49 729 


9 99 979 


12 


58 


8.53 552 


8.53 578 


9 99 974 


2 


10 


8.49 775 


8.49 796 


9 99 979 


50 


10 


8.53614 


8.53 639 


9 99 974 


50 


20 


8.49 842 


8.49 863 


9 99 978 


40 


20 


8.53 675 


8.53 700 


9 99 974 


40 


30 


8.49 908 


8 49930 


9 99 978 


30 


30 


8.53 736 


8.53 762 


9 99 974 


30 


40 


849975 


8.49 997 


9 99 978 


20 


40 


8.53 797 


8.53823 


9 99 974 


20 


50 


8.50 042 


8.50 063 


9 99 978 


10 


50 


8.53 858 


8.53 884 


9 99 974 


10 


49 


8.50 108 


8.50 130 


9 99 978 


11 


59 


8.53919 


8.53 945 


9 99 974 


1 


10 


8.50 174 


8.50 196 


9 99 978 


SO 


10 


8.53979 


8.54 005 


9 99 974 


50 


20 


8.50 241 


8.50 263 


999978 


40 


20 


8.54 040 


8.54 066 


9 99 974 


40 


30 


8.50 307 


8.50 329 


9 99 978 


30 


30 


8.54 lOI 


8.54 127 


9 99 974 


30 


40 


8.50 373 


8.50 395 


999978 


20 


40 


8.54 161 


8.54 187 


9 99 974 


20 


50 


8 50 439 


8.50 461 


999978 


10 


50 


8.54 222 


8.54 248 


9 99 974 


10 


50 


8.50 504 


8.50527 


999978 


10 


60 


8.54 282 


8. 54 308 


9 99 974 





1 tf 


L Cos 


L Cot 


L Sin 


1 1 


1 n 


L Cos 


L Cot 


L Sin 


II t 



88 



(To) 



TABLE IV 



THE AUXILIARIES S' AND T' 

1. If is an angle between 0° and 2° and 6' represents the number 
of minutes in the angle 6, the following formulae involving the quan- 
tities S' and T' are convenient. 



log sin d = log 6' + *S", 
log tan e = log 6' + T', 
log cot 6 = colog tan 6, 



log 6' = log sin d - S', 
log 6' = log tan - T', 
log 0' = colog cot - T'. 



2. If is an angle between 88° and 90° and (90° - 0)' represents 
the number of minutes in the angle 90° — 0, we have 

log cos = log (90° - 0y + S', log (90° - (9)' = log cos - S', 
log cot = log (90° - 0)' + T', log (90° - 0y = log cot 0- T\ 
log tan = colog cot 0, log (90° - 0)' = colog tan 0- T'. 



VALUES OF S' AND T' 



6' 


S' 


log sin e 





6.46373 




14 


6.46372 


7.60985 


43 


6.46371 


8.09718 


59 


6.46370 


8.23456 


72 


6.46369 


8.32103 


82 


6.46368 


8.37750 


92 


6.46367 


8.42746 


100 


6.46366 


8.46366 


108 


6.46365 


8.49708 


116 


6.46364 


8.52810 


122 


6.46363 


8.54999 



0' 


T' 


log tan 


6' 


T' 


log tan 





6.46373 




90 


6.46383 


8.41807 


27 


6.46374 


7-89510 i 


95 


6.46384 


8.44156 


40 


6.46375 


8.06581 1 


99 


6.46385 


8.45948 


49 


6.46376 


8.15395 


103 


6.46386 


8.47669 


57 


6.46377 


8.21964 


107 


6.46387 


8.49325 


64 


6.46378 


8.26996 


111 


6.46388 


8.50920 


70 


6.46379 


8.30888 


114 


6.46389 


8.52079 


75 


6.46380 


8.33886 


118 


6.46390 


8.53578 


81 


6.46381 


8.37229 


121 


6.46391 


8.54669 


86 


6.46382 


8.39832 








90 




8.41807 









(76) 



TABLE V 

FOUR-PLACE VALUES 

OF THE 

NATURAL TRIGONOMETRIC FUNCTIONS 
FOR EVERY TENTH OF A DEGREE FROM 0° TO 90° 













0° to 3° 












Angle 


Sin 


d 


Tan 


d 


Cot 


d 


Cos 


d 




P P 


.0 

1 
2 
3 

4 
6 
6 

7 
8 
9 

1.0 

1 
2 
3 

4 
6 
6 

7 
8 
9 

2 .0 

1 
2 
3 

4 
5 
6 

7 
8 
9 

3 .0 


0.0000 

0.0017 
0.0035 
0.0052 

0.0070 
0.0087 
0.0105 

0.0122 
0.0140 
O.OIS7 


17 
18 
17 
18 

17 
18 
17 

1 8 
17 
18 

17 

17 
18 
17 
18 
17 
18 

17 
18 
17 

17 
18 
17 
18 

17 

iS 

17 

17 
18 
17 


0.0000 

0.0017 
0.0035 
0.0052 

0.0070 
0.0087 
0.0105 

0.0122 
0.0140 
0.0157 


17 
18 

17 
18 

17 
18 
17 
18 
17 
18 

17 

17 
18 
17 

18 
17 
18 

17 
18 
17 
18 

17 
18 

17 

18 

17 
18 

17 
18 

17 


00 


9555 

8821 
81OS 

7584 
7062 
6592 


I. oooo 

1.0000 

I. oooo 
I. oooo 

1.0000 

I. oooo 

09999 

0.9999 
09999 
0.9999 









1 




I 





1 






I 

1 

I 



I 
1 

I 


1 

I 
I 
1 


90 .0 

9 

8 
7 

6 
5 
4 

3 
2 
1 

89 .0 

9 

8 
7 

6 
5 
4 

3 
2 

1 

88 .0 

9 

8 
7 

6 
5 

4 

3 
2 

1 

87 .0 




572.9572 
286.4777 
190.9842 

143 2371 
114-5887 
954895 
81.8470 
71 6151 
63.6567 


I 
2 
3 
4 
s 

6 

7 
8 
9 

I 
2 
3 
4 
S 
6 
7 
8 
9 


IS 

1.8 

3.6 

5-4 

7.2 

9.0 

10.8 

12.6 

14.4 

16.2 

17 

'•7 
3-4 
S-I 
6.8 
8.S 
10.2 
1 1.9 
i,i.6 
1.S.3 


O.OI7S 

0.0192 
0.0209 
0.0227 

0.0244 
0.0262 
0.0279 

0.0297 
0.0314 
0.0332 

0.0349 

0.0366 
0.0384 
0.0401 

0.0419 
0.0436 
0.0454 

0.0471 
0.0488 
0.0506 

0.0523 


0.0175 


57.2900 


0.9998 


0.0192 
0.0209 
0.0227 

0.0244 
0.0262 
0.0279 

0.0297 
0.0314 
0.0332 


52.0807 
47 7395 
44.0661 

40.9174 
38.1885 
35 8006 

336935 
31 8205 
30.1446 

28.6363 


0.9998 
0.9998 

09997 

09997 
09997 
9996 

0.9996 
09995 
09995 

09994 


00349 

0.0367 
0.0384 
0.0402 

0.0419 
0.0437 
0.0454 

0.0472 
0.0489 
0.0507 


272715 
26.0307 
24.8978 

238593 
22.9038 
22.0217 

21.2049 
20.4465 
197403 
19.081 1 


09993 
09993 
09992 

09991 

0.9990 
0.9990 

09989 
0.9988 
0.9987 


0.0524 


0.9986 






Cos 


d 


Cot 


d 


Tan 


d 


Sin 


d 


Angle 


P P 



87° to 90 



(77) 













3° to 


9° 














Angle 


Sin 


d 


Tan 


d 


Cot 


d 


Cos 


d 




P P 




3 .0 

1 


0.0523 


18 


0.0524 


18 


19.0811 


6166 
5782 


0.9986 


I 


87 .0 

9 






0.0541 


0.0542 


18.4645 


0.998s 




2 


0.0558 


17 


0.0559 


17 


17.8863 


0.9984 




8 






3 

4 


0.0576 
0.0593 


18 
17 


0.0577 
0.0594 


18 
17 
18 


173432 
16.8319 


5431 
5113 
4820 


0.9983 
0.9982 


I 


7 
6 






5 


0.0610 


17 


0.0612 


16.3499 


0.9981 




5 






6 


0.0628 


17 


0.0629 


17 

t8 


15-8945 


4SS4 
4307 


0.9980 


I 


4 






7 


0.0645 




0.0647 




154638 


4081 
3872 
3678 

3500 


0.9979 




3 






8 


0.0663 


18 


0.0664 


17 
18 

17 
18 


150557 


0.9978 




2 






9 


0.0680 


17 
18 


0.0682 


14.668s 


0.9977 




1 






4.0 


0.0698 


17 


0.0699 


14.3007 


0.9976 




86 .0 






1 


0.071S 


0.0717 




139507 


0.9974 




9 






2 


0.0732 


17 
18 


0.0734 


17 
18 


13-6174 


3333 


09973 




8 






3 


0.0750 


0.0752 


13299s 


3179 


0.9972 




7 










17 




17 




3033 












4 


0.0767 




0.0769 




12.9962 




0.9971 




6 






5 


0.0785 


18 


0.0787 


18 
18 
17 


12.7062 




0.9969 




5 


18 




6 


0.0802 


17 
17 


0.0805 


12.4288 


2774 
2666 


0.9968 


2 


4 


I 


1.8 




7 


0.0819 




0.0822 




12.1622 




0.9966 




3 




3-6 




8 


0.0837 


18 


0.0840 


18 


11.9087 


2535 


0.996s 




2 


3 
4 
S 


5-4 
7-2 
9.0 




9 


0.0854 


17 
18 


0.0857 


17 
18 


1 1 .6645 


2442 
2344 
2253 

2166 

2085 
2008 


0.9963 


I 


1 




5°.0 


0.0872 


17 

17 
18 
17 


0.0875 


17 

18 
18 
17 


II. 4301 


0.9962 


2 


85°.0 


6 

7 


10.8 
12.6 




1 
2 


0.0889 
0.0906 


0.0892 
0.0910 


11.2048 
10.9882 


0.9960 
0.9959 


I 


9 
8 


8 
9 


14.4 
16.2 




3 


0.0924 


0.0928 


10.7797 


0.9957 


2 
2 


7 






4 


0.0941 




0.094s 


18 
18 
17 


10.5789 




0.9956 




6 






5 


0.0958 


17 
18 

17 


0.0963 


10.3854 


1935 
1866 
1801 


0.9954 




5 






6 


0.0976 


0.0981 


10.1988 


0.9952 


I 


4 






7 


0.0993 


18 


0.0998 


18 


10.0187 




0.9951 




3 






8 


O.IOII 


0.1016 


9.8448 


1739 
1680 
1624 

1572 


0.9949 




2 






9 
6°.0 


0.1028 


17 
17 

18 


0.1033 


17 
18 

18 


9.6768 


0.9947 


2 
2 


1 
84°.0 






0.1045 


0.1051 


95144 


0.994s 




1 


0.1063 




0.1069 




93572 


0.9943 




9 






2 
3 


0.1080 
0.1097 


17 
17 
tS 


0.1086 
0.1104 


17 
18 

t8 


9.2052 
90579 


1520 
1473 
1427 


0.9942 
0.9940 


2 

2 


8 
7 






4 


0.1115 




0.1122 




8.9152 


1383 


0.9938 




6 






5 


0.1132 


17 


0.1139 


17 
18 
18 


8.7769 


0.9936 




5 






6 


0.1149 


17 
18 


0.1157 


8.6427 


1301 


0.9934 


?. 


4 






7 


0.1167 




0.117s 




8.5126 


1263 


0.9932 




3 






8 


0.1184 


17 


0.1192 


17 
18 
18 


8.3863 


0.9930 




2 


17 




9 


0.1201 


17 

18 


0.1210 


8.2636 


1 1 93 


0.9928 




1 


I 


1-7 




7 .O 

1 


0.1219 


17 


0.1228 


18 


8.1443 


1158 


0.9925 


2 


83°.0 

9 


2 
3 
4 


3.4 
S-I 
6.8 
8.5 
10.2 
II. 9 




0.1236 


0.1246 


8.0285 


0.9923 




2 
3 


0.I2S3 
0.1271 


17 
18 
17 


0.1263 
0.1281 


17 
18 
18 


7-9158 
7.8062 


1127 
1096 
1066 


0.9921 
0.9919 


2 
2 


8 
7 


5 
6 

7 




4 
5 
6 


0.1288 
0.1305 
0.1323 


17 
18 
17 


0.1299 
0.1317 
0.1334 


18 
17 
18 


7.6996 
7-5958 
7-4947 


1038 

lOII 

985 


0.9917 
0.9914 
0.9912 


3 
2 
2 


6 
5 
4 


9 


13.6 
IS-3 




7 
8 


0.1340 
0.1357 


17 


0.1352 
0.1370 


18 
18 
17 
18 

18 
18 
18 


73962 
7-3002 


g6o 
936 
912 

890 

869 

847 
828 


0.9910 
0.9907 


3 


3 
2 






9 
8°.0 

1 


0.1374 


17 
18 

17 


0.1388 
0.140s 
0.1423 


7.2066 


0.9905 


2 
3 


1 
82°.0 

9 






0.1392 


7-I154 


0.9903 




0.1409 


7.0264 


0.9900 




2 


0.1426 


17 

18 
17 


0.1441 


6.9395 


0.9898 


^ 


8 






3 


0.1444 


0.1459 


6.8548 


0.9895 


3 
2 


7 






4 


0.1461 




0.1477 


18 


6.7720 


808 


0.9893 




6 






5 


0.1478 


17 


0.1495 


6.6912 


0.9890 




5 






6 


0.1495 


17 
18 


0.1512 


17 
18 


6.6122 


790 

772 


0.9888 


S 


4 






7 


0.1513 




0.1530 


18 
18 
18 


6.5350 




0.9885 




3 






8 


0.1530 


17 


0.1548 


6.4596 


754 


0.9882 





2 






9 


0.1547 


17 
17 


0.1566 


6.3859 


721 


0.9880 


3 


1 






9°.0 


0.1564 


0.1584 




6.3138 


0.9877 


8r.o 








Cos 


d 


Cot 


d 


Tan 


d 


Sin 


d 


Angle 


P P 





(78) 



81° to 87= 



9= to 15^ 





Angle 


Sin 


d 


Tan 


d 


Cot 


d 


Cos d 




P P 




9 .O 


0.1564 


18 


0.1584 


18 


63138 


706 


0.9877 ^ 


81 .0 






1 


0.1582 


0.1602 




6.2432 


0.9874 ■ 


9 






2 


0.1599 


17 


0.1620 


18 j 


6.1742 


6qo 
676 
661 

647 
622 


0.9871 ^ 


8 






3 

4 


1616 
1633 


17 
17 


0.1638 
0.1655 ' 


18 
17 

18 


6.1066 

6.0405 ! 


0.9869 ^ 
0.9866 1 ^ 


7 
6 






5 


1650 


17 


1673 


59758 1 


0.9863 5 


5 






6 


0.1668 


iS 
I 7 


0.1691 


I s 
18 


59124 


0.9860 i 

„ 1 3 


4 






7 


1685 




1709 


18 
18 
18 

18 


5-8502 


608 


0.9857 ■ , 


3 






8 


0.1702 


I 7 


0.1727 


57894 


0.9854 ^ 


2 






9 
10 .0 


1719 
0.1736 


17 
17 

iS 


0.I74S 


57297 


597 
584 

573 

562 


0.9851 j 
0.9848 


1 
80 .0 


19 




0.1763 


56713 




1 


0.1754 1 




0.1781 




56140 


09845 , 


9 


1 ' " 

2 1 


3-8 




2 


0.1771 


17 


0.1799 


iS 

18 


5 5578 


0.9842 ^ 


8 


3 


H 




3 


0.1788 


17 


0.1817 


55026 


552 


0.9839 I 


7 


4 


7.6 




4 


0.1805 


17 


0.1835 


18 

18 ' 
18 


5.4486 


540 


„ , 3 
09836 ^ 


6 


5 
6 


95 
11.4 




5 


0.1822 


17 


0.1853 


5 3955 


531 


0.9833 ^ 


5 


7 ; 


13-3 




6 


0.1840 


iS 


0.1871 


5 3435 , 


520 


0.9829 ^ 


4 


8 


15-2 




7 


0.1857 


17 


0.1890 


19 ! 


5 2924 


511 


0.9826 


3 


9 171 




8 


0.1874 


17 


0.1908 


I S 


5 2422 


502 


0.9823 ^ 


2 






9 


0.1891 


17 
17 

17 


0.1926 


iS 
18 1 


5 1929 


40^ 
483 

476 

466 


0.9820 -5 


1 






11 .0 


0.1908 


0.1944 


x8 ! 


5 1446 


0.9816 


79 .0 






1 


0.1925 ; 


0.1962 




5.0970 


0.9813 


9 






2 


1942 


17 


0.1980 


I S 


5 0504 


0.9810 ^ 


8 






3 


1959 


17 

18 


0.1998 


I s 
iS 


50045 


450 
451 


0.9806 ^ 

_ 1 3 


7 






4 


0.1977 




0.2016 




49594 




0.9803 


6 






5 


1994 


17 


0.2035 


19 


49152 


442 

4, '.6 
42s 


0.9799 f 


5 






6 


2011 


17 

17 


0.2053 


18 

18 


4.8716 


0.9796 ^ 


4 


18 




7 


0.2028 




0.2071 


18 

, 


4.8288 




09792 




3 


„ 




8 


0.2045 


17 


0.2089 


4.7867 


421 


0.9789 


3 


2 


I 

2 


3-6 
5-4 
7-2 
9.0 




9 
12 .0 


0.2062 


17 

17 

17 


0.2107 


I 

iS 


47453 
4.7046 


414 
407 

400 


0.9785 


4 

4 

3 


1 
78 .0 


3 

4 
5 




0.2079 


0.2126 


0.9781 




1 


0.2096 


0.2144 




4.6646 


0.9778 




9 


6 


lo.S 
12.6 
14.4 




2 


2113 


17 


0.2162 


I s 


4 6252 


394 

o8l 


0.9774 


4 


8 


7 
8 




3 


0.2130 


17 
17 


0.2180 


I s 


4.5864 


09770 


4 
3 


7 


9 


16.2 




4 


2147 




0.2199 




4 5483 




0.9767 




6 






5 


0.2164 


I" 


0.2217 


I .s 


45107 


■5 7^ 


0.9763 


4 


5 






6 


2l8l 


I 7 
17 


0.2235 


I 6 

19 


44737 


304 


0.9759 


4 

4 


4 
3 






7 


0.2198 




0.2254 


18 


44373 


^ - "N 


0.9755 


4 






8 


0.2215 


I 7 


0.2272 


44015 


^.1* 


0.9751 


2 






9 
13 .0 


0.2233 


iS 

17 

17 


0.2290 
0.2309 


iS 

19 
18 


43662 
4331S 


353 
347 

343 


0.9748 


3 

4 

4 


1 
77 .0 






0.2250 


0.9744 




1 


2267 


0.2327 


iS 


4.2972 


0.9740 




9 






2 


0.2284 


17 


0.2345 


42635 


337 


0.9736 


4 


8 






3 


2300 


16 
17 


0.2364 


19 

18 


42303 


1 332 
,■ 327 


0.9732 


4 

4 


7 


17 




4 


2317 




0.2382 




4.1976 


1 


0.9728 




6 


I 


1.7 




5 


0.2334 


17 


0.2401 


19 

18 
19 


4 1653 


323 


0.9724 


4 

4 
5 


5 


:: 


. 3-4 




6 


2351 


' 7 
17 


0.2419 


4 1335 


1 313 


0.9720 


4 


3 
4 


5-1 
6.8 




7 


2368 




0.2438 




4.1022 


1 


0.9715 




3 


5 


8.5 




8 


2385 


17 


0.2456 


I s 


40713 


' 300 


0.9711 


4 


2 


6 


10.2 




9 
I4'.0 


0.2402 


I 7 
17 

17 


0.2475 
02493 


18 

! 19 


4 0408 


305 

300 

296 


0.9707 


4 

4 

4 


1 
76 .0 


7 
8 
9 


11.9 
13.6 




0.2419 


4.0108 


0.9703 


153 




1 


0.2436 


0.2512 


iS 


39812 




09699 




9 






2 


0.2453 


I" 


2530 


39520 


292 

288 


09694 


4 
4 


8 






3 


2470 


' 7 
17 


0.2549 


19 


39232 


285 


9690 


7 






4 


0.2487 




0.2568 


iS 


38947 


280 
276 
273 


09686 


. 


6 






5 


2504 


17 


0.2586 


38667 


09681 


-"^ 


5 






6 


2521 


17 
17 


0.2605 


19 
18 


38391 


0.9677 


4 
4 


4 






7 


2538 


16 


0.2623 




3 8118 




0.9673 




3 






8 


0.2554 


0.2642 


19 


37848 


270 

265 
- 262 


0.9668 


■^ 


2 






9 
15 .0 


0.2571 


17 
17 


0.2661 


19 
- 18 


37583 


0.9664 


4 


1 
75 .0 






0.2588 


0.2679 


37321 


09659 








Cos 


d 


Cot 


d 


Tan 


' d 


Sin d 


Angle 


P P 



76° to 81 



O'i) 











15° to 2V 












Angle 


Sin 


d 


Tan 


d 


1 
Cot 


d 


Cos 


d 




P P 




15 .0 


0.2588 


17 


0.2679 


19 


37321 


259 


0.9659 


- 4 


75 .0 






1 


0.260s 


0.2698 


3.7062 


0.9655 


9 






2 


0.2622 


17 


0.2717 


19 


3.6806 


256 


0.9650 


i) 


8 






3 


0.2639 


17 


0.2736 


19 


3.6554 


252 


0.9646 


4 


7 


20 




4 


0.2656 


17 


0.2754 


18 


3.6305 


249 
246 


0.9641 


i 


6 


I 2.0 




5 


0.2672 




0.2773 


19 


3.6059 


0.9636 


:> 


5 


2 4.0 




6 


0.2689 


17 


0.2792 


19 


3.5816 


243 


0.9632 


4 


4 


3 6.0 




7 


0.2706 


17 


0.2811 


19 


35576 


240 


0.9627 





3 


S lo.o 




8 


0.2723 


17 


0.2830 


19 


3 5339 


237 


0.9622 


b 


2 


6 12.0 




9 


0.2740 


17 
16 


0.2849 


19 
18 


3.5105 


234 
231 

228 


0.9617 


5 
4 

5 


1 


7 140 

8 16.0 




16 .0 


0.2756 


17 


0.2867 


19 


3.4874 


0.9613 


74 .0 


9 18.0 




1 


0.2773 


0.2886 


3.4646 




0.9608 


9 






2 


0.2790 


17 


0.2905 


19 


3-4420 


226 


0.9603 


b 


8 






3 


0.2807 


17 
16 


0.2924 


19 
19 


34197 


223 
220 


0.9598 


5 


7 






4 


0.2823 




0.2943 




3 3977 


218 


0.9593 




6 






5 


0.2840 


17 


0.2962 


19 


3 3759 


0.9588 


S 


5 


19 




6 


0.2857 


17 
17 


0.2981 


19 
19 


3-3544 


215 

212 


0.9583 


6 


4 


1 1.9 

2 3.8 




7 


0.2874 


16 


0.3000 




3 3332 




0.9578 


" 


3 




8 


0.2890 


0.3019 


19 


33122 


208 
205 

203 


0.9573 


6 


2 


4 7-6 




9 


0.2907 


17 
17 

16 


0.3038 


19 
19 

19 


3-2914 


0.9568 


6 
5 

5 


1 


s 9.5 




17°.0 


0.2924 


0.3057 


3 2709 


0.9563 


73°.0 


6 11.4 

7 13.3 




1 


0.2940 




0.3076 


3.2506 


0.9558 


9 


8 15.2 

9 17. 1 




2 


0.2957 


17 


0.3096 




3 2305 


201 


0.9553 


6 


8 




3 


0.2974 


17 
16 


0.3115 


19 
19 


3.2106 


199 
196 


0.9548 


6 


7 






4 


0.2990 




0.3134 




3.1910 




0.9542 




6 






5 


0.3007 




0.3153 


19 


3.1716 


194 


0.9537 


b 


5 






6 


0.3024 


I 7 
16 


0.3172 


19 
19 


3.1524 


192 
190 


0.9532 




4 


18 




7 


0.3040 




0.3191 




31334 


188 

184 
182 


0.9527 


6 


3 






8 


0.3057 


17 


0.3211 




3.1146 


0.9521 


2 


r 1.8 




9 


0.3074 


17 
16 


0.3230 


19 
19 


3 0961 


0.9516 


6 
5 
6 


1 


2 3.6 




IS^.O 


0.3090 


17 
16 
17 
t6 


0.3249 


3.0777 


0.9511 


72^0 


4 7-2 

5 9-0 

6 10.8 




1 


0.3107 


0.3269 




3059s 


180 
178 
176 


0.950s 




9 




2 
3 


0.3123 
0.3140 


0.3288 
0.3307 


19 
19 

20 


30415 
3 0237 


0.9500 
0.9494 


5 
6 
5 


8 
7 


7 12.6 

8 14.4 

9 16.2 




4 


0.3156 




0.3327 




3.0061 




0.9489 




6 






5 


0.3173 


17 


0.3346 


19 


2.9887 


174 


0.9483 




5 






6 


0.3190 


16 


0.3365 


19 


2.9714 


173 
170 

169 
167 
166 


0.9478 


6 


4 






7 


0.3206 




0.3385 




2.9544 


0.9472 


6 


3 






8 


0.3223 


17 
16 
17 


0.3404 


19 


2.9375 


0.9466 


2 


17 




9 


0.3239 


0.3424 


ig 


2.9208 


0.9461 


6 


1 




I9°.0 

1 


0.3256 


16 


0.3443 


20 


2.9042 


164 

162 

160 

159 
158 
156 

154 


0.9455 


6 


71 .0 

9 


1 1.7 

2 3.4 

3 5-1 

4 6 8 




0.3272 


0.3463 


2.8878 


0.9449 




2 


0.3289 


16 
17 
16 


0.3482 


19 


2.8716 


0.9444 


6 
6 
6 

6 


8 


5 8.S 




3 

4 


0.3305 
0.3322 


0.3502 
0.3522 


20 


2.8556 
2.8397 


0.9438 
0.9432 


7 
6 


6 10.2 

7 11-9 

8 13.6 




5 


0.3338 


0.3541 


19 


2.8239 


0.9426 


5 


9 15-3 




6 


0.3355 


16 


0.3561 


20 


2.8083 


0.9421 


6 


4 






7 


0.3371 


16 


0.3581 




2.7929 




0.9415 


6 
6 
6 

6 

6 
6 
6 


3 






8 


0.3387 


0.3600 


19 


2.7776 


153 


0.9409 


2 






9 
20°0 

1 


0.3404 


16 

17 

16 
16 
17 


0.3620 
0.3640 


20 
19 


2.7625 


151 
150 

149 


0.9403 


1 
70'.0 

9 


16 

I 1.6 




0.3420 
0.3437 


27475 


0.9397 




0.3659 


2.7326 


0.9391 




2 


0.3453 


0.3679 




2.7179 


147 


0.9385 


8 


2 3.2 

3 4-8 

4 6.4 




3 


0.3469 


0.3699 


20 


2.7034 


145 
145 


0.9379 


7 




4 


0.3486 


16 

16 
17 


0.3719 




2.6889 




0.9373 


6 

6 
7 


6 


S 8.0 




5 


0.3502 


0.3739 




2.6746 




0.9367 


5 






6 


0.3518 


0.3759 


20 


2.6605 


141 
141 


0.9361 


4 


7 II. 2 

8 12.8 




7 


0.3535 


16 
16 
17 


0.3779 




2.6464 




0-9354 


6 
6 
5 


3 


9 144 




8 


0.3551 


0.3799 




2.6325 


138 
136 


0.9348 


2 






9 


0.3567 


0.3819 




2.6187 


0.9342 


1 






2I°.0 


0.3584 


0.3839 




2.6051 


09336 




69 .0 








Cos 


d 


Cot 


d 


Tan 


d 


Sin 


d 


Angle 


P P 





(80) 



69° to 75' 



21° to ZT 



Angle 


Sin 


d 


Tan 


d 


Cot 


d 


Cos 


d 




P P 


2 1 .0 


0.3584 


16 


0.3839 




2.6051 




09336 


6 


69 .0 




1 


0.3600 


0.3859 


20 


2.5916 


13s 


09330 


9 


22 


2 


0.3616 


16 


0.3879 


20 


2.5782 


134 


0.9323 


7 


8 


3 


03633 


17 


0.3899 


20 


2.5649 


13.5 


09317 


6 


7 


I 


2.2 


4 


0.3649 


16 


0.3919 


20 


2.5517 


132 


0.9311 


6 


6 


2 

3 


4.4 
6.6 


5 


0.3665 


16 


03939 


20 


2.5386 


131 


0.9304 


7 


5 


4 


8.8 


6 


0.3681 


16 


0.3959 


20 


2.5257 


I2Q 


0.9298 


6 


4 


S 


II.O 


7 


0.3697 


16 


0.3979 


20 


2.5129 


128 


0.9291 


7 


3 


6 
7 


13.2 
154 


8 


0.3714 


17 


0.4000 


21 


2.5002 


127 


0.9285 


6 


2 


8 


17.6 


9 


0.3730 


16 


0.4020 


20 


2.4876 


126 


0.9278 


7 
6 


1 


9 


19.8 


22'.0 


0.3746 


16 
16 


0.4040 


20 


2.4751 


125 


0.9272 


68^0 




1 


0.3762 


0.4061 


21 


2.4627 


124 


0.9265 


7 


9 




2 


0.3778 


16 


0.4081 


20 


2.4504 


123 


0.9259 


6 


8 


21 


3 


0.3795 


17 


0.4101 


20 


2.4383 


121 


0.9252 


7 


7 


I 


2.1 


4 


0.3811 


16 


0.4122 


21 


2.4262 


121 


0.9245 


7 


6 


2 


4.2 

8.4 
10.5 


5 


0.3827 


16 


0.4142 


20 


2.4142 


120 


0.9239 


6 


5 


3 

4 
5 


6 


0.3843 


16 


0.4163 


21 


2.4023 


119 


0.9232 


7 


4 


7 


0.3859 


16 


0.4183 


20 


2.3906 


117 


0.9225 


7 


3 


6 


12.6 


8 


0.3875 


16 


0.4204 


21 


2.3789 


117 


0.9219 


6 


2 


7 
8 


14.7 
16.8 


9 


0.3891 


16 
16 

16 


0.4224 


20 


2.3673 


116 


0.9212 


7 


1 


9 


18.9 


23 .O 


0.3907 


0.4245 


21 


2.3559 


114 


0.9205 


7 


67^0 




1 


0.3923 


0.4265 


20 


2.3445 


114 


0.9198 


7 


9 




2 


0.3939 


16 


0.4286 


21 


2.3332 


113 


0.9191 


7 


8 


20 


3 


0.3955 


16 


0.4307 


21 


2.3220 


112 


0.9184 


7 


7 


I 


2.0 


4 


0.3971 


16 


0.4327 


20 


2.3109 


HI 


0.9178 


6 


6 


2 


4.0 
6.0 


5 


0.3987 


16 


0.4348 


21 


2.2998 


III 


0.9171 


7 


5 


3 
4 


8^0 


6 


0.4003 


16 


0.4369 


21 


2.2889 


109 


0.9164 


7 


4 


s 


10.0 


7 


0.4019 


16 


0.4390 


21 


2.2781 


108 


0.9157 


7 


3 


6 

7 
8 


12.0 
14.0 
16.0 


8 


0.4035 


16 


0.4411 


21 


2.2673 


108 


0.9150 


7 


2 


9 
24 .O 


0.4051 


16 
16 

16 


0.4431 


20 
21 


2.2566 


107 
106 


0.9143 


7 
8 

7 


1 
66^0 


9 


18.0 


0.4067 


0.4452 


2.2460 


0.9135 




1 


0.4083 


0.4473 


21 


2.2355 


los 


0.9128 


9 


17 


2 


0.4099 


16 


0.4494 


21 


2.2251 


104 


0.9121 


7 


8 




3 


0.4115 


16 


0.4515 


21 


2.2148 


103 


0.9114 


7 


7 


I 


1-7 


4 


0.4131 


16 


0.4536 


21 


2.2045 


103 


-0.9107 


7 


6 


2 

3 


3.4 
S.I 


5 


0.4147 


16 


0.4557 


21 


2.1943 


102 


0.9100 


7 


6 


4 


6.8 


6 

7 


0.4163 
0.4179 


16 
16 


0.4578 
0.4599 


21 
21 


2.1842 
2.1742 


lOI 

100 


0.9092 
0.9085 


8 
7 


4 
3 


S 
6 
7 


8.S 
10.2 
11.9 


8 


0.4195 


16 


0.4621 


22 


2.1642 


100 


0.9078 


7 


2 


8 


13.6 


9 
25\0 


0.4210 


IS 

16 
16 


0.4642 


21 
21 


2.1543 


99 
98 


0.9070 


8 
7 


1 
65 \0 


9 


15.3 


0.4226 


0.4663 


2.I44S 


0.9063 




1 


0.4242 


0.4684 


21 


2.1348 


97 


0.9056 


7 


9 


1R 


2 


0.4258 


16 


0.4706 


22 


2.1251 


97 


0.9048 


8 


8 




1.6 
3.2 


3 


0.4274 


16 


0.4727 


21 


2.1155 


96 


0.9041 


7 

8 


7 


I 

2 


4 


0.4289 


IS 


0.4748 


21 


2.1060 


95 


09033 


6 


3 


4.8 


5 


0.4305 


16 


0.4770 


22 


2.0965 


95 


9026 


7 


5 


4 


6.4 


6 


0.4321 


i6 


0.4791 


21 


2.0872 


9.5 


0.9018 


8 


4 


5 
6 


8.0 
9.6 


7 


0.4337 


16 


0.4813 


22 


2.0778 


94 


0.901 1 


7 


3 


7 


II. 2 


8 


0.4352 


IS 


0.4834 


21 


2.0686 


92 


0.9003 


8 


2 


8 


12.8 


9 


0.4368 


16 
16 


0.4856 


22 


2.0594 


92 


0.8996 


7 

cS 

8 


1 


9 


14.4 


26 .O 


0.4384 


0.4877 


21 


2.0503 


91 


0.8988 


64 .0 


1 


1 


04399 


15 


0.4899 


22 


2.0413 


90 


0.8980 


9 


IS 1 


2 


0.4415 


16 


0.4921 


22 


2.0323 


90 


0.8973 


7 


8 






3 


0.4431 


16 


0.4942 


21 


2.0233 


90 


0.8965 


S 


7 


' 


3.0 


4 


4446 


IS 


0.4964 


22 


2.0145 


88 


0.8957 


8 


6 


3 


4-5 


5 


0.4462 


16 


0.4986 


22 


2.0057 


88 


0.8949 


8 


5 


4 


0.0 


6 


0.4478 


16 


0.5008 


22 


1.9970 


87 


0.8942 


7 


4 


5 
6 


7.5 
9.0 


7 


0.4493 


15 


0.5029 


21 


1 .9883 


87 


0.8934 


8 


3 


7 


lo.S 


8 


0.4509 


16 


0.5051 


22 


1.9797 


86 


0.8926 


8 


2 


8 


I2.0 


9 
27 .O 


0.4524 


IS 

16 


0.5073 


22 
22 


1.971 1 


86 
8S 


0.8918 


8 
8 


1 
63 .0 


9 


13.5 


04540 


0.5095 


1.9626 


0.8910 






Cos 


d 


Cot 


d 


Tan 


d 


Sin 


d 


Angle 


P P 



63° to 69^ 



(81) 











27' to 33' 














Angle 


Sin 


d 


Tan 


d 


Cot 


d 


Cos 


d 




P P 




27 .0 


0.4540 




0.509s 




1.9626 




0.8910 


- 8 


63 .0 






1 


0.4555 


16 


0.5117 




I 9542 


- 84 


0.8902 


9 






2 


0.4571 


0.5139 


22 


I 9458 


84 


0.8894 


8 


8 


25 




3 


0.4586 


16 


0.5161 




1-9375 


83 


0.8886 





7 






4 


0.4602 


0.5184 


23 


1.9292 


83 


0.8878 


8 


6 


I 
2 


2.S 

S.o 




5 


0.4617 


16 


0.5206 




1.9210 


82 


0.8870 


8 


5 


.s 


7.5 




6 


0.4633 


0.5228 


22 


1.9128 


82 


0.8862 


8 


4 


4 


1 0.0 




7 


0.4648 


15 
16 


0.5250 


22 


1.9047 


8i 


0.8854 


8 


3 


5 
6 


12.S 
15.0 




8 


0.4664 


0.5272 




1.8967 


80 


0.8846 


8 


2 


7 


17. 5 




9 
28 .0 


0.4679 


IS 
- i6 

15 


0.5295 
0.5317 


23 
- 22 

23 


1.8887 


80 
80 


0.8838 


8 
9 
8 


1 
62 .0 


S 


20.0 




0.4695 


1.8807 


0.8829 






1 


0.4710 


16 


0.5340 


1.8728 




0.8821 


g 






2 


0.4726 


0.5362 




1.8650 


78 


0.8813 


8 


8 


24 




3 


0.4741 


I c 


0.5384 


23 


1.8572 


78 


0.8805 


8 


7 


I 


2.4 




4 


0.4756 


16 


0.5407 


1.849s 




0.8796 


9 


6 


2 


4.8 






0.4772 




0.5430 


23 


1. 8418 


77 


0.8788 


8 


5 


i 


7-2 




6 

7 


0.4787 
0.4802 


15 
IS 
16 


0.5452 
0.5475 


22 
23 


1.8341 
1.8265 


77 
76 


0.8780 
0.8771 


8 
9 


4 
3 


4 
5 
6 


9.6 
12.0 

14.4 




8 


0.4818 


0.5498 


23 


1.8190 


75 


0.8763 


8 


2 


7 


16.8 




9 
29°.0 

1 


0.4833 


IS 
IS 

15 
16 


0.5520 


22 
23 

23 


1.8115 


75 
75 

74 


0.8755 


8 
9 
8 


1 

6I^O 

9 


9 


19.2 
21.6 




0.4848 
0.4863 


0.5543 


1 .8040 


0.8746 






0.5566 


1.7966 


0.8738 




2 


0.4879 


0.5589 


23 


1.7893 


73 


0.8729 


9 


8 


23 




3 

4 


0.4894 
0.4909 


IS 


0.5612 
0.5635 


23 
23 


1.7820 
1-7747 


73 
73 


0.8721 
0.8712 


8 
9 


7 
6 


I 
2 


2.3 
4.6 




5 
6 

7 


0.4924 


15 
16 


0.5658 


23 


1.767s 


72 


0.8704 


8 


5 


4 


9.2 




0.4939 
0.4955 


0.5681 
0.5704 


23 
23 


1.7603 
1.7532 


72 
71 


0.8695 
0.8686 


9 
9 


4 
3 


S 
6 

7 
8 


II. 5 
13.8 
16 I 




8 


0.4970 


IS 


0.5727 


23 


1. 7461 


71 


0.8678 


8 


2 


18.4 




30°.0 


0.4985 


15 

15 


0.5750 


23 
24 

23 


1. 7391 


70 
70 

70 


0.8669 


9 

9 

8 


1 
60 .0 


9 


20.7 




0.5000 


0.5774 


1.7321 


0.8660 






1 


0.5015 




0.5797 


1.7251 


0.8652 


9 


22 






0.5030 




0.5820 


23 


1.7182 


69 


0.8643 


9 


8 






3 

4 


0.5045 
0.5060 


IS 
IS 


0.5844 
0.5867 


24 

23 


I 7"3 
1.7045 


69 
68 


0.8634 
0.8625 


9 
9 


7 
6 


I 
2 


2.2 
4.4 
6.6 




6 

7 
8 


0.5075 




0.5890 


23 


1.6977 




0.8616 


9 


5 


4 


8.8 




0.5090 
0.5105 


IS 


0.5914 
0.5938 


24 
24 


1.6909 
1.6842 


68 
67 
67 


0.8607 
0.8599 


9 
8 


4 
3 


S 
6 
7 


II.O 

13.2 

15.4 




0.5120 




0.5961 


23 


1.6775 


0.8590 


9 


2 


8 


17.6 




3I°.0 

1 
2 
3 


0.5135 


15 
15 


0.5985 


24 

24 

23 


1 .6709 


66 
66 

65 
65 
64 


0.8581 


9 
9 

9 


1 
59 .0 

9 


9 


19.8 




0.5150 


0.6009 


1.6643 


0.8572 


16 




0.5165 


0.6032 


1.6577 


0.8563 




0.5180 
0.5195 


IS 
IS 


0.6056 
0.6080 


24 
24 
24 


1.6512 
1.6447 


0.8554 
0.8545 


9 
9 
9 


8 
7 


I 
2 


1.6 

3-2 




4 


0.5210 




0.6104 




16383 


64 
64 
64 


0.8536 


6 


3 


4.8 




5 
6 


0.5225 




0.6128 


24 


1.6319 


0.8526 


10 


5 


4 


6.4 




0.5240 


15 


0.6152 


24 


1-6255 


0.8517 


9 


4 


6 


9.6 




7 


0.5255 




0.6176 




1.6191 


0.8508 




3 


7 


II. 2 




8 


0.5270 




0.6200 


24 


1.6128 


63 


0.8499 
0.8490 


9 


2 


8 


12.8 




9 

32 .0 

1 
2 
3 

4 
5 
6 

7 
8 
9 

33.^0 


0.5284 


14 

IS 

IS 
IS 


0.6224 


24 

2S 

24 

24 
25 
24 

2S 
24 
25 

25 


1.6066 


62 

63 - 
62 

61 
62 
6i 

60 
60 
60 

60 


9 
10 

9 
9 


1 
58^.0 

9 

8 


9 


14.4 




0.5299 


0.6249 


1.6003 


0.8480 


1 




0.5314 
0.5329 


0.6273 
0.6297 


1.5941 
1.5880 


0.8471 
0.8462 


I 


15 

i.S 




0.5344 
0.5358 


14 


0.6322 
0.6346 


1.5818 
1.5757 


0.8453 
0.8443 


9 
10 


7 
6 


2 
3 


3.0 
4.5 
6.0 




0.5373 
0.5388 

0.5402 


IS 

14 


0.6371 
0.639s 

0.6420 


1.5697 
1.5637 

1-5577 


0.8434 
0.8425 

0.8415 


9 
9 
10 


5 
4 

3 


5 
6 
7 

8 


7.S 
9.0 
lo.s 
12.0 




0.5417 




0.6445 


1-5517 


0.8406 


9 


2 


9 


13.S 




0.5432 


14 


0.6469 


24 

25 


1-5458 


5Q 

59 - 


0.8396 


10 
9 


1 
57 .0 






0.5446 


0.6494 


15399 


0.8387 






Cos 


d 


Cot 


d 


Tan 


d 


Sin j d 


Angle 


P P 





(82) 



67° to 63' 











33° to 39° 












Angle 


Sin 


d 


Tan 


d 


Cot 


d 


Cos 


d 




P P 


33 .0 


0.5446 


15 


0.6494 


25 


I 5399 


59 

58 
58 
58 


0.8387 




57 .0 




1 


0.5461 


0.6519 


I S340 


0.8377 




9 


Z9 


2 


0.5476 


15 


0.6544 


25 


1.5282 


0.8368 




8 


I 


2-9 


3 


0.5490 


14 
15 


0.6569 


25 
25 


1.5224 


0.8358 


10 


7 


2 
3 


S.8 
8.7 


4 


0.5505 




0.6594 




1.5166 


58 


0.8348 




6 


4 


11.6 


5 


05519 


14 


0.6619 


25 


1.5108 


0.8339 


9 


5 


S 


14.S 


6 


0.5534 


15 


0.6644 


25 


1. 505 1 


57 


0.8329 




4 


b 


17-4 






14 




25 




57 




9 




7 


20.3 


7 


0.5548 




0.6669 




1.4994 


56 


0.8320 




3 


8 


23-2 


8 


0.5563 


IS 


0.6694 


25 


I 4938 


0.8310 




2 


9 


26.1 


9 


0.5577 


14 
15 

14 


0.6720 


2l> 
25 

26 


1.4882 


56 
56 

56 


0.8300 


10 


1 


„„ 1 


34°.0 


0.5592 


0.6745 


1.4826 


0.8290 




56^0 




2 8 


1 


0.5606 


0.6771 




1.4770 


0.8281 




9 


2 


5-6 


2 


0.5621 


15 


0.6796 


25 


1.4715 


55 


0.8271 




8 


3 


8.4 


3 


0.5635 


14 
15 


0.6822 


25 


1.4659 


56 
54 


0.8261 


10 


7 


4 


II. 2 

14.0 


4 


0.5650 




0.6847 


26 


1.4605 




0.8251 




6 


6 


16.8 


5 


0.5664 


14 


0.6873 


1.4550 


55 


0.8241 




5 


7 


19.6 


6 


0.5678 


14 


0.6899 


26 
25 


1.4496 


54 
54 


0.8231 


10 


4 


8 
9 


22.4 
25.2 


7 


0.5693 




0.6924 


26 
26 
26 

26 


1.4442 




0.8221 




3 


1 


8 


0.5707 


14 


0.6950 


1.4388 


54 


0.8211 




2 


27 1 


9 
35'.0 


0.5721 


14 
15 

14 


0.6976 


I 4335 


S3 
54 

52 


0.8202 
0.8192 


9 
10 

1 1 


1 
55^0 


1 
2 
3 


2-7 

5-4 
8.1 


0.5736 


0.7002 


1. 4281 


1 


0.5750 


0.7028 


26 
26 

27 


1.4229 


0.8181 




9 


4 


10.8 


2 


0.5764 


14 


0.7054 


1. 4176 


53 


0.8171 




8 


S 
6 
7 


I3-S 
16.2 
18.9 


3 


0.5779 


IS 

14 


0.7080 


I.4124 


52 

53 


0.8161 


10 


7 


4 


0.5793 


0.7107 


26 
26 
27 


1. 4071 




0.8151 




6 


8 


21.6 


5 


0.5807 


14 


0.7133 


1. 4019 


52 


0.8141 




5 


9 


243 


6 


0.5821 


14 
14 


0.7159 


1.3968 


51 
52 


0.8131 


10 


4 


.. 1 


7 


0.5835 




0.7186 


26 


1.3916 




0.8121 




3 




2.6 


8 


0.5850 


IS 


0.7212 


1.3865 


SI 


0.8111 




2 




9 
36^.0 

1 


0.5864 


14 
14 

14 


0.7239 


27 

26 
27 


1. 3814 


SI 
SO 

51 


0.8100 


10 
10 


1 

54^0 

9 

8 
7 

6 
5 


3 
4 
5 
6 


7.8 
10.4 
13.0 
IS.6 
18.2 
20.8 


0.5878 


0.7265 


1.3764 


0.8090 


0.5892 


0.7292 


I 3713 


0.8080 


2 


0.5906 


14 


0.7319 


27 


I 3663 


50 


0.8070 




8 


3 

4 


0.5920 
0.5934 


14 
14 


0.7346 
0.7373 


27 

27 


1.3613 
1.3564 


50 
49 


0.8059 
0.8049 


10 


9 


23.4 


5 


0.5948 


14 


0.7400 


27 


1.3514 


SO 


0.8039 




15 1 


6 

7 


0.5962 
0.5976 


14 
14 


0.7427 
0.7454 


27 

27 


I 346s 
1.3416 


49 
49 


0.8028 
0.8018 


10 


3 
2 

1 

9 

8 
7 


I 
2 
3 
4 


1. 5 
3.0 
4.S 
6.0 


8 


0.5990 


14 


0.7481 


27 


I 3367 


49 
48 
49 
48 

47 
48 
48 


0.8007 




9 

37°. 

1 
2 


0.6004 


14 

14 

14 
14 


0.7508 


27 

28 

27 

27 
28 
28 


I 3319 


0.7997 


II 
10 
1 1 


S 
6 
7 
8 
9 


7-5 
9.0 
lo.S 
12.0 
13-5 


0.6018 


0.7536 


1.3270 


0.7986 


0.6032 
0.6046 


0.7563 
0.7590 


1.3222 
1.3175 


0.7976 
0.796s 


3 


0.6060 


14 


0.7618 


1.3127 


0.7955 


II 


u 1 


4 


0.6074 




0.7646 


27 
28 
28 

28 


1.3079 




0.7944 




6 
5 

4 

3 
2 

1 

52°.0 

9 


I 


1.4 


5 


0.6088 


14 


0.7673 


1.3032 


47 


0.7934 




2 


2.8 


6 

7 


0.6101 
0.6115 


13 
14 


0.7701 
0.7729 


1.2985 
1.2938 


47 
47 

46 
46 
47 
46 


0.7923 
0.7912 


1 1 


3 

4 

S 


4-2 

S.6 
7.0 


8 
9 

38'.0 

1 


0.6129 
0.6143 

0.6157 

0.6170 


14 

14 
13 


0.7757 
0.7785 


28 
28 

28 

28 


1.2892 
1.2846 


0.7902 
0.7891 


II 
II 

II 


6 

7 
8 
9 


8.4 
9.8 
II. 2 
12.6 


0.7813 


1.2799 


0.7880 


0.7841 


12753 


0.7869 


.3 1 


2 


0.6184 


14 


0.7869 


1.2708 


45 
46 
45 


0.7859 






3 


0.6198 


14 
13 


0.7898 


29 

28 


1.2662 


0.7848 


II 


7 


I 


13 
2.6 


4 


0.6211 




0.7926 


28 


1. 2617 




0.7837 




6 


^ 


3-9 


5 


0.6225 


14 


0.7954 


1.2572 


45 


0.7826 




5 


4 


5.2 


6 


0.6239 


14 
13 


0.7983 


29 


1.2527 


45 
45 


0.7815 


II 


4 


5 
6 


6.S 
7.8 


7 


0.6252 




0.8012 


28 


1.2482 


45 


0.7804 




3 


7 


9.1 


8 


0.6266 


14 


0.8040 


I 2437 


0.7793 




2 


8 


10.4 


9 
39 .0 


0.6280 


14 
13 


0.8069 
0.8098 


29 

29 


I 2393 


44 
44 


0.7782 


I I 


1 
51 .0 


9 


II. 7 


0.6293 


1.2349 


0.7771 






Cos 


d 


Cot 


d 


Tan 


d 


Sin 


d 


Angle 


P P 



51° to 57'- 



(S3) 



39° to 45' 



Angle 


Sin 


d 


Tan 


d 


Cot 


d 


Cos 


d 




P P 


39 .0 


0.6293 


14 


0.8098 


2g 


I 2349 


44 


0.7771 


,1 


5( .0 




1 


0.6307 


0.8127 


I 2305 


0.7760 




9 


34 


2 


0.6320 


13 


0.8156 


zg 


1. 2261 


44 


0.7749 


1 1 


8 


I 


3-4 


3 


0.6334 


14 


0.8185 


29 


1.2218 


43 


0.7738 


1 1 


7 


2 


6.8 






13 




29 




44 




1 1 








4 


0.6347 




0.8214 




1.2174 




0.7727 




6 




13.6 


5 


0.6361 


14 


0.8243 


29 


1.2131 


43 


0.7716 


1 1 


5 


.s 


17.0 


6 


0.6374 


13 


0.8273 


30 


1.2088 


43 


0.7705 


1 1 


4 


6 


20.4 


7 


0.6388 


14 


0.8302 


29 


1. 2045 


43 


0.7694 


II 


3 


7 
8 


23.8 

27.2 


8 


0.6401 


13 


0.8332 


30 


1.2002 


43 


0.7683 




2 


9 


30.6 


9 


0.6414 


13 
14 

13 


0.8361 


29 
30 

30 


1. 1960 


42 

42 

43 


0.7672 


1 1 


1 




40°.0 


0.6428 


0.8391 


1. 1918 


0.7660 




50 .0 


33 


1 


0.6441 


0.8421 


1. 1875 


0.7649 




9 


2 


3-3 

6.6 


2 


0.6455 


14 


0.8451 


30 


11833 


42 


0.7638 


1 1 


8 


3 


9-9 


3 


0.6468 




0.8481 


30 


11792 


41 


0.7627 




7 


4 


'|-^ 






13 




30 




42 








S 


16.S 


4 


0.6481 




0.8511 




1. 1750 




0.761S 




6 


6 


19.8 


5 


0.6494 


13 


0.8541 


30 


1. 1708 


42 


0.7604 


1 1 


S 


7 


23.1 


6 


0.6508 


14 


0.8571 


30 


1. 1667 


41 


0.7593 




4 


8 


26.4 


7 


0.6521 




0.8601 


30 


I. 1626 


41 


0.7581 


^ 2 


3 


9 


29.7 


8 


0.6534 


13 


0.8632 


31 


I. 1585 


41 


0.7570 




2 


32 1 


9 


0.6547 


13 
14 

13 


0.8662 


30 
31 


11544 


41 
40 

41 


0.7559 




1 






41^0 


0.6561 


0.8693 


1. 1504 


0.7547 




49.0 


2 


6.4 
9.6 
12.8 


1 


0.6574 


0.8724 




1. 1463 


0.7536 




9 


4 


2 


0.6587 


13 


0.8754 


30 


1. 1423 


40 


0.7524 


12 


8 


5 


16.0 


3 


0.6600 


13 


0.8785 


31 


I 1383 


40 


0.7513 




7 


b 


19.2 






13 




31 




40 




12 




7 


22.4 


4 


0.6613 




0.8816 




I 1343 




0.7501 




6 


8 


25.6 


5 


0.6626 


13 


0.8847 


31 


1. 1303 


40 


0.7490 


1 1 


5 


9 


28.8 


6 


0.6639 


13 
13 


0.8878 


31 
32 


1. 1263 


40 
39 


0.7478 


12 


4 


„ 1 


7 


0.6652 




0.8910 




1. 1224 




0.7466 




3 


1 


8 


0.6665 


13 


0.8941 


31 


1.1184 


40 


0.7455 


II 


2 


I 


31 


9 


0.6678 


13 
13 
13 


0.8972 


31 

32 

32 


11145 


39 
39 

39 


0.7443 


12 


1 


2 
3 


9-3 


42^0 


0.6691 


0.9004 


1.1106 


0.7431 




48 .0 


4 


12.4 


1 


0.6704 




0.9036 


1. 1067 


0.7420 




9 


6 


18.6 


2 


0.6717 


13 


0.9067 


31 


1. 1028 


39 


0.7408 




8 


7 


21.7 


3 


0.6730 


13 
13 


0.9099 


32 
32 


1.0990 


38 
39 


0.7396 


12 
1 1 


7 


8 
9 


24.8 
27.9 


4 


0.6743 




0.9131 




1. 0951 


38 
38 
s8 


0.7385 




6 


1 


5 


0.6756 


13 


0.9163 


32 


1.0913 


0.7373 


12 


5 


29 1 


6 


0.6769 


13 
13 


0.9195 


32 
33 


1.0875 


0.7361 


12 


4 


I 


2.9 


7 


0.6782 




0.9228 




1.0837 


38 
38 
37 

38 


0.7349 




3 


2 


S-S 


8 
9 


0.6794 
0.6807 


13 
13 


0.9260 
0.9293 


32 
33 
32 


1.0799 
1. 0761 


0.7337 
0.7325 


12 


2 

1 


i 

4 

s 


8.7 
11.6 
14s 


43°.0 


0.6820 


13 


0.9325 


1.0724 


0.7314 




47^0 


6 
7 


17.4 
20.3 


1 


0.6833 




0.9358 




1.0686 


0.7302 




9 


8 


23.2 


2 


0.6845 




0.9391 


33 


1 .0649 


37 


0.7290 




8 


9 




3 


0.6858 


13 


0.9424 


33 
33 


1.0612 


37 
37 


0.7278 


12 


7 


u 1 


4 


0.6871 




0.9457 




I 0575 




0.7266 




6 






5 


0.6884 


13 


0.9490 


33 


10538 


37 


0.7254 




5 




2 8 


6 


0.6896 


13 


0.9523 


33 
33 


1.0501 


37 
37 


0.7242 


12 


4 


3 


4.2 


7 


0.6909 




0.9556 




1 .0464 


36 
36 
37 

36 

36 
36 
35 
36 


0.7230 




3 


4 


5-6 


8 


0.6921 




0.9590 


34 


1.0428 


0.7218 


12 


2 


5 


7-0 


9 


0.6934 


13 
13 


0.9623 


33 


1.0392 


0.7206 


12 
13 


1 


7 


9.8 


44°.0 


0.6947 


12 


0.9657 


34 


I 0355 


0.7193 


46'.0 


8 
9 


II. 2 
12.6 


1 


0.6959 




0.9691 


1.0319 


0.7181 




9 




2 


0.6972 


13 


0.972s 


34 


1.0283 


0.7169 


12 


8 


13 1 


3 

4 
5 


0.6984 

0.6997 
0.7009 


13 
12 


0.9759 

0.9793 
0.9827 


34 
34 

34 


1.0247 
1.0212 
1.0176 


0.7157 

0.7145 
0.7133 


12 
12 


7 

6 
5 


I 
2 
3 


1-3 
2.6 

3-9 

S-2 


6 


0.7022 


13 
12 


0.9861 


34 
35 


1.0141 


35 
36 


0.7120 


13 

12 


4 


S 


6.5 

7.8 


7 


0.7034 




0.9896 




1.0105 




0.7108 




3 




8 


0.7046 




0.9930 


34 


1.0070 


35 


0.7096 




2 


8 


10.4 


9 
45 .0 


0.7059 


12 


0.9965 


35 


1.0035 


35 


0.7083 


12 


1 
45 .0 


9 


11.7 


0.7071 


1 .0000 


1.0000 


0.7071 






Cos 


d 


Cot 


- 


Tan 


d 


Sin 


d 


Angle 


P P 



(84) 



45° to 51' 



TABLE VI 

FOUR-PLACE VALUES 



OF THE 



SQUARES OF NUMBERS 
FROM 0.000 TO 3.500 



(85) 







Squares 


of Numbers from 0.000 to 0.500 








N 


n'o 


1 


2 3 

1 


4 


5 


6 7 


8 


9 


P P 




O.OO 

01 


0.0000 


0000 


0000 0000 


0000 


0000 


0000 0000 


0001 


0001 




2 


3 




0001 


0001 


0001 


0002 


0002 


0002 


0003 


0003 


0003 


0004 




02 


0004 


0004 


0005 


0005 


0006 


0006 


0007 


0007 


0008 


0008 






o.,5 
0.6 




03 


0009 


0010 


0010 


OOII 


0012 


0012 


0013 


0014 


0014 


0015 




0.4 


























3 


0.6 


0.9 




04 


0016 


0017 


0018 


oorS 


0019 


0020 


0021 


0022 


0023 


0024 


4 


0.8 


1.2 




05 


0.0025 


0026 


0027 


0028 


0029 


0030 


0031 


0032 


0034 


0035 


5 


I.O 


1-5 




06 


0036 


0037 


0038 


0040 


0041 


0042 


0044 


0045 


0046 


0048 


6 


1.2 


1.8 




07 


0049 


0050 


0052 


0053 


0055 


0056 


0058 


0059 


0061 


0062 


8 


1.4 
1.6 


2.4 




08 


0064 


0066 


0067 


0069 


0071 


0072 


0074 


0076 


0077 


0079 


g 


1.8 


2.7 




09 
0.10 

11 


0081 


0083 


0085 


0086 


0088 


0090 


0092 


0094 


0096 


0098 




4 


5 




O.OIOO 


0102 


0104 


0106 


0108 


Olio 


0112 


0114 


0117 


0119 




0I2I 


0123 


0125 


0128 


0130 


0132 


0135 


0137 


0139 


0142 




12 


0144 


0146 


0149 


0151 


0154 


0156 


0159 


0161 


0164 


0166 


I 


0.4 


o.S 




13 


0169 


0172 


0174 


0177 


0180 


0182 


0185 


0188 


0190 


0193 


2 
3 


0.8 

1.2 


1.0 

1 .5 




14 


0196 


0199 


0202 


0204 


0207 


0210 


0213 


0216 


0219 


0222 


4 


1.6 


2.0 




15 


0.0225 


0228 


0231 


0234 


0237 


0240 


0243 


0246 


0250 


0253 


S 


2.0 


2.5 




16 


0256 


0259 


0262 


0266 


0269 


0272 


0276 


0279 


0282 


0286 


6 
7 


2.4 
2.8 


30 

3-5 




17 


0289 


0292 


0296 


0299 


0303 


0306 


0310 


0313 


0317 


0320 


8 


3-2 


4.0 




18 


0324 


0328 


0331 


0335 


0339 


0342 


0346 


0350 


0353 


0357 


9 


V6 


4-5 




19 

0.20 

21 


0361 


0365 


0369 


0372 


0376 


0380 


0384 


0388 


0392 


0396 




6 


7 




0.0400 


0404 


0408 


0412 


0416 


0420 


0424 


0428 


0433 


0437 




0441 


0445 


0449 


0454 


0458 


0462 


0467 


0471 


0475 


0480 




22 


0484 


0488 


0493 


0497 


0502 


0506 


0511 


0515 


0520 


0524 


I 


0.6 


0.7 




23 


0529 


0534 


0538 


0543 


0548 


0552 


0557 


0562 


0566 


0571 


2 


1.2 
1.8 
2.4 


1-4 




24 


0576 


0581 


0586 


0590 


0595 


0600 


0605 


0610 


0615 


0620 


3 
4 


2.8 




25 


0.0625 


0630 0635 


0640 


0645 


0650 


0655 


0660 


0666 


0671 


s 


3-0 


35 




26 


0676 


0681 


0686 


0692 


0697 


0702 


0708 


0713 


0718 


0724 


6 


3-6 


4.2 




27 


0729 


0734 


0740 


0745 


0751 


0756 


0762 


0767 


0773 


0778 


7 
8 


4.2 
4.8 
5-4 

8 


4.9 
5-6 
6.3 

9 




28 


0784 


0790 


0795 


0801 


0807 


0812 


0818 


0824 


0829 


0835 


9 




29 
0.30 

31 


0841 


0847 


0853 


0858 


0864 


0870 


0876 


0882 


0888 


0894 




0.0900 


0906 


0912 


0918 


0924 


0930 


0936 


0942 


0949 


0955 




0961 


0967 


0973 


0980 


0986 


0992 


0999 


1005 


lOII 


1018 




32 


1024 


1030 


1037 


1043 


1050 


1056 


1063 


1069 


1076 


1082 


I 


0.8 


0.9 




33 


1089 


1096 


1 102 


1 109 


1116 


1122 


1129 


1136 


1 142 


1 149 


2 


1.6 


1.8 




34 


II56 


1163 


1 170 


1176 


1 183 


1 190 


1197 


1204 


1211 


1218 


4 


3-2 


3-6 




35 


0.1225 


1232 


1239 


1246 


1253 


1260 


1267 


1274 


1282 


1289 


5 


4.0 


4-S 




36 


1296 


1303 


1310 


1318 


1325 


1332 


1340 


1347 


1354 


1362 


6 


4.8 


5-4 




37 


1369 


1376 


1384 


1391 


1399 


1406 


1414 


1421 


1429 


1436 


7 
8 


SO 
6.4 
7.2 

10 


6.3 
7.2 
8 I 




38 


1444 


1452 


1459 


1467 


1475 


1482 


1490 


1498 


1505 


1513 


9 




39 
0.40 

41 


I52I 


1529 


1537 


1544 


1552 


1560 


1568 


1576 


1584 


1592 


11 




0.1600 


1608 


1616 


1624 


1632 


1640 


1648 


1656 


1665 


1673 




I68I 


1689 


1697 


1706 


1714 


1722 


1731 


1739 


1747 


1756 




42 


1764 


1772 


1781 


1789 


1708 


1806 


1815 


1823 


1832 


1840 


I 


1.0 


I.I 




43 


1849 


1858 


1866 


1875 


1884 


1892 


190 1 


1910 


1918 


1927 


2 
3 


2.0 
3-0 


2.2 
3-3 




44 


1936 


1945 


1954 


1962 


1971 


1980 


1989 


1998 


2007 


2016 


4 


4.0 


4.4 




45 


0.2025 


2034 


2043 


2052 


2061 


2070 


2079 


2088 


2098 


2107 


5 


S-O 


5-S 




46 


2II6 


2125 


2134 


2144 


2153 


2162 


2172 


2181 


2190 


2200 


6 


6.0 


6.6 




47 


2209 


2218 


2228 


2237 


2247 


2256 


2266 


2275 


2285 


2294 


7 
8 


7.0 
8.0 


7-7 
8.8 




48 
49 

0.50 


2304 

2401 


2314 
241 1 


2323 
2421 


2333 
2430 


2343 
2440 


2352 
2450 


2362 
2460 


2372 
2470 


2381 
2480 


2391 
2490 


9 


9.0 


9.9 




0.2500 


2510 


2520 


2530 


2540 


2550 


2560 


2570 


2581 


2591 




N 


n'-o 


1 


2 


3 


4 


5 


6 


7 


8 


9 


P P 





Moving the decimal point I'tii place in N is equivalent to moving it two plaocs in N^. 

(86) 







Squares 


of Numbers 


fron 


0.500 i 


> 1.000 






N 


N- 


1 


2 


3 4 


5 6 7 


8 9 


P P 1 


0.50 

51 


0.2500 


2510 


2520 


2530 2540 


2550 2560 


2570 


2581 


2591 


I 


10 11 

I.O I.I 


2601 


2611 


2621 


2632 


2642 


2652 2663 


2673 


2683 


2694 


52 


2704 


2714 


2725 


2735 


2746 


2756 2767 2777 


2788 


2798 


2 


2.0 2 


2 


53 


2809 


2820 


2830 


2841 1 2852 


2862 2873 , 2884 


2894 


2905 


3 


30 3 


,5 




















4 


4.0 4 


4 


54 


2916 


2927 2938 


2948 2959 


2970 


2981 2992 


3003 


3014 


5 


5-0 5 


S 


55 


0.3025 


3036 3047 


3058 3069 


3080 


3091 3102 


3114 


3125 


6 


6.0 6 


6 


56 


3136 


3147 


3158 


3170 ^3181 


3192 ' 3204 3215 


3226 


3238 


7 
8 


7.0 7 
8.0 8 


7 
8 


57 


3249 


3260 


3272 


3283 3295 


3306 3318 3329 


3341 


3352 


9 


9.0 9 


9 


58 


3364 


3376 3387 


3399 341 1 


3422 3434 3446 


3457 


3469 








59 
0.60 

61 


3481 


3493 3505 


3516 3528 


3540 3552 1 3564 


3576 


3588 

3709 


I 
2 
3 


12 

1.2 
2.4 
3.6 


18 

1-3 
2.6 
3-9 


0.3600 


3612 3624 

3733 3745 


3636 


3648 


3660 3672 


3684 


3697 


3721 


3758 


3770 


3782 3795 


3807 


3819 


3832 


62 


3844 


3856 3869 


3881 


3894 


3906 3919 3931 


3944 


3956 


4 


4.8 


S-2 


63 


3969 


3982 3994 


4007 


4020 


4032 j 4045 4058 

1 


4070 


4083 


5 
6 


6.0 
7.2 


6.5 
7.8 


64 


4096 


4109 4122 


4134 


4147 


4160 4173 4186 


4199 


4212 


7 


8.4 


9.1 


65 


0.4225 


4238 4251 


4264 [4277 


4290 4303 4316 


4330 


4343 


8 


9.6 10.4 1 


66 


4356 


4369 1 4382 


4396 4409 


4422 4436 


4449 


4462 


4476 


9 


10.8 II. 7 1 


67 


4489 


4502 4516 


4529 4543 


4556 4570 


4583 


4597 


4610 




14 


15 


68 


4624 


4638 4651 


4665 4679 


4692 4706 


4720 


4733 


4747 


I 


1.4 


1-5 


69 
0.70 

71 


4761 


4775 4789 


4802 4816 


4830 


4844 


4858 


4872 
S013 


4886 


2 
3 
4 
5 


2.8 
4.2 
5-6 
7.0 


30 
45 
6.0 
75 


0.4900 


4914 4928 
5055 5069 


4942 
5084 


4956 


4970 


4984 


4998 


5027 


5041 


5098 


5112 5127 


5141 


5155 


5170 


72 


5184 


5198 5213 


5227 5242 


5256 5271 5285 


5300 


5314 


6 


8.4 


9.0 


73 


5329 


5344 5358 


5373 1 5388 


5402 5417 , 5432 


5446 


5461 


7 
8 


9-8 10.5 1 

II. 2 12.0 1 


74 


5476 


5491 5506 


5520 1 5535 


5550 5565 ' 5580 


5595 


5610 


9 


12.6 I 


3-5 


75 


0.5625 


5640 


5655 


5670 5685 


5700 5715 5730 


5746 


5761 




16 

1.6 


17 


76 


5776 


5791 


5806 


5822 . 5837 


5852,5868 5883 


5898 


5914 




77 


5929 


5944 


5960 


5975 5991 


6006 6022 6037 


6053 


6068 


2 


3-2 


3-4 


78 


6084 


6100 


6115 


6131 6147 


6162 6178 6194 


6209 


6225 


3 


4.8 


51 


79 
0.80 

81 


6241 


6257 


6273 


6288 6304 
6448 6464 


6320 6336 6352 


6368 


6384 


4 
5 
6 

7 


6.4 6.8 

8.0 8.S 

9.6 10.2 

II. 2 II. 9 


0.6400 


6416 


6432 
6593 


6480 6496 


6512 


-6529 
6691 


6545 
6708 


6561 


6577 


6610 6626 


6642 


6659 


6675 


82 


6724 


6740 1 6757 


6773 6790 


6806 


6823 


6839 


6856 


6872 


8 


12.8 I ' 


30 


83 


6889 


6906 6922 


6939 6956 


6972 6989 ' 7006 


7022 


7039 


9 


14.4 I 


5-3 


84 


7056 


7073 7090 


7106 7123 


7140 


7157 


7174 


7191 


7208 




18 


19 


85 


0.7225 


7242 7259 


7276 7293 


7310 


7327 


7344 


7362 


7379 


I 


1.8 


1.0 


86 


7396 


7413 7430 


7448 j 7465 


7482 


7500 


7517 


7534 


7552 


2 
3 


3-6 
5-4 


3-8 
5-7 


87 


7569 


7586 7604 


7621 7639 


7656 7674 7691 


7709 


7726 


4 


7.2 


76 


88 


7744 


7762 7779 


7797 7815 


7832 7850 7868 


7885 


7903 


5 


9.0 


9-5 


89 
0.90 

91 


7921 


7939 


7957 


7974 7992 


8010 8028 8046 


8064 


8082 
8263 


6 

7 
8 

9 


10.8 II. 4 
12.6 13.3 
144 152 
16.2 17.1 


0.8100 


8118 


8136 


8154 
8336 


8172 


8190 8208 


8226 
8409 


8245 


8281 


8299 8317 


8354 


8372 8391 


8427 


8446 


92 


8464 


8482 8501 


8519 8538 


8556 8575 8593 


8612 


8630 




20 


21 


93 


8649 


8668 8686 


8705 8724 


8742 8761 8780 


8798 


8817 


I 


2.0 


2.1 


94 


8836 


8855 8874 


8892 89 1 1 


8930 8949 8968 


8987 


9006 


2 


4.0 


4.2 


95 


0.9025 


9044 9063 


9082 9101 


9120 9139 9158 


9178 


9197 


3 


6.0 


6.3 


96 


9216 


9235 9254 


9274 9293 


9312 9332 9351 


9370 


9390 


4 


8.0 


8.4 










1 1 






S 


lo.o 10.5 1 


97 


9409 


9428 9448 


9467 9487 


9506 9526 9545 


9565 


9584 


6 


12.0 12.6 1 


98 


9604 


9624 9643 


9663 9683 


9702 9722 9742 


9761 


9781 


7 


14.0 I 


4-7 


99 
1.00 


0.9801 


9821 9841 


9860 9880 


9900 9920 9940 
0100 0120 0140 


9960 
0161 


9980 
0181 

9 


8 




16.0 I 
iS.o I 


6.8 

8.Q 


1. 0000 


0020 0040 


0060 
3 


0080 


N 


N- 


1 ' 2 


4 


5 ' 6 ' 7 


8 


P P 1 



Moving the decimal poiut one place in N is equivalent to moving it two places in X' 

(87) 







Sqi] 


.ares 


of Numbers from 1.000 to 1.500 






N 


N" 


1 


2 


3 


4 


5 


6 


7 


8 


9 


P P 1 


I.OO 

01 


1. 0000 


0020 


0040 


0060 


0080 


0100 


0120 


0140 


0161 


0181 


I 


20 

2.0 


21 

2.1 


0201 


0221 


0241 


0262 


0282 


0302 


0323 


0343 


0363 


0384 


02 


0404 


0424 


0445 


0465 


0486 


0506 


0527 


0547 


0568 


0588 


2 


4.0 


4.2 


03 


0609 


0630 0650 


0671 


0692 


0712 


0733 


0754 


0774 


0795 


3 
4 
5 


8.0 


6.3 

8.4 

10.5 


04 


0816 


0837 0858 


0878 


0899 


0920 


0941 


0962 


0983 


1004 


10. 


05 


1. 1025 


1046 j 1067 


1088 


1 109 


1130 


1151 


1 1 72 


1 194 


1215 


6 


12.0 


12.6 


06 


1236 


1257 1278 


1300 


1321 


1342 


1364 


1385 


1406 


1428 


7 
8 


14.0 
16.0 


14.7 
16.8 


07 


1449 


1470 1492 


1513 


1535 


1556 


1578 


1599 


1621 


1642 


9 


18.0 


18.9 


08 


1664 


1686 1707 


1729 


1751 


1772 


1794 


1816 


1837 


1859 








09 
I.IO 

11 


I88I 


1903 


1925 


1946 


1968 


1990 


2012 


2034 


2056 


2078 


I 
2 
3 


22 

2.2 
4.4 
6.6 


23 

2.3 
4.6 
6.9 


1. 2100 


2122 


2144 


2166 


2188 


2210 


2232 


2254 


2277 


2299 


2321 


2343 


2365 


2388 


2410 


2432 


2455 


2477 


2499 


2522 


12 


2544 


2566 ! 2589 


261 1 


2634 


2656 


2679 


2701 


2724 


2746 


4 


8.8 


9-2 


13 


2769 


2792 


2814 


2837 


2860 


2882 


2905 


2928 


2950 


2973 


5 
6 


II.O 

13.2 


ii-S 
13-8 


14 


2996 


3019 


3042 


3064 


3087 


3110 


3133 


3156 


3179 


3202 


7 


xS-4 


16. 1 


15 


13225 


3248 


3271 


3294 


3317 


3340 


3363 


3386 


3410 


3433 


8 


17.6 


18.4 


16 


3456 


3479 


3502 


3526 


3549 


3572 


3596 


3619 


3642 


3666 


9 


19.8 


20.7 


17 


3689 


3712 


3736 


3759 


3783 


3806 


3830 


3853 


3877 


3900 




24 


25 


18 


3924 


3948 3971 


3995 


4019 


4042 


4066 


4090 


4113 


4137 


I 


2.4 


2.S 


19 

1.20 

21 


4161 


4185 


4209 


4232 


4256 


4280 


4304 


4328 


4352 


4376 


2 
3 
4 
5 


4.8 

7.2 

9.6 

12.0 


S-o 

75 

10. 

12. s 


1 .4400 


4424 


4448 


4472 


4496 


4520 


4544 


4568 


4593 


4617 


4641 


4665 


4689 


4714 


4738 


4762 


4787 


4811 


4835 


4860 


22 


4884 


4908 


4933 


4957 


4982 


5006 


5031 


5055 


5080 


5104 


6 


14.4 


I5-0 


23 


5129 


5154 


5178 


5203 


5228 


5252 


5277 


5302 


5326 


5351 


7 
8 


19.2 


17-5 
20.0 


24 


5376 


5401 


5426 


5450 


5475 


5500 


5525 


5550 


5575 


5600 


9 


21.6 


22.5 


25 


1-5625 


5650 


5675 


5700 


5725 


5750 


5775 


5800 


5826 


5851 




26 

2.6 


27 

2.7 


26 


5876 


5901 


5926 


5952 


5977 


6002 


6028 


6053 


6078 


6104 




27 


6129 


6154 


6180 


6205 


6231 


6256 


6282 


6307 


6333 


6358 


2 


5-2 


5-4 


28 


6384 


6410 


6435 6461 


6487 


6512 


6538 


6564 


6589 


6615 


3 


7.8 


8.1 


29 


6641 


6667 


6693 6718 


6744 


6770 


6796 


6822 


6848 


6874 


4 


10.4 


10.8 


I.30 

31 


1 .6900 


6926 


6952 


6978 


7004 


7030 


7056 


7082 


7109 


7135 


5 
6 
7 


13-0 
15-6 
18.2 


13-5 
16.2 
18.9 


7161 


7187 


7213 


7240 


7266 


7292 


7319 


7345 


7371 


7398 


32 


7424 


7450 


7477 


7503 


7530 


7556 


7583 


7609 


7636 


7662 


8 


20.8 


21.6 


33 


7689 


7716 


7742 


7769 


7796 


7822 


7849 


7876 


7902 


7929 


9 


23-4 


24-3 


34 


7956 


7983 


8010 ' 8036 


8063 


8090 


8117 


8144 


8171 


8198 




38 


29 


35 


1.8225 


8252 


8279 


8306 


8333 


8360 


8387 


8414 


8442 


8469 


I 


2.8 


2.9 


36 


8496 


8523 


8550 


8578 


8605 


8632 


8660 


8687 


8714 


8742 


2 
3 

4 


S-6 

8.4 

II. 2 


S-8 

8.7 

11.6 


37 


8769 


8796 


8824 


8851 


8879 


8906 


8934 


8961 


8989 


9016 


38 


9044 


9072 


9099 


9127 


9155 


9182 


9210 


9238 


9265 


9293 


5 


14.0 


14-5 


39 
1.40 

41 


9321 


9349 


9377 


9404 


9432 


9460 


9488 


9516 


9544 


9572 


6 
7 
8 
9 


16.8 
19.6 
22.4 
25.2 


17.4 
20.3 
23.2 
26.1 


1.9600 
1. 9881 


9628 


9656 


9684 


9712 


9740 


9768 
0051 


9796 


9825 


9853 


9909 


9937 


9966 


9994 


0022 


0079 


0107 


0136 


42 


2.0164 0192 


0221 0249 i 0278 


0306 


0335 


0363 


0392 


0420 




30 


31 


43 


0449 1 0478 


0506 


0535 1 0564 


0592 


0621 


0650 


0678 


0707 


I 


30 


3-1 


44 


0736 


0765 


0794 


0822 


0851 


0880 


0909 


0938 


0967 


0996 


2 


6.0 


6.2 


45 


2.1025 


1054 


1083 


1112 


1141 


1170 


1 199 


1228 


1258 


1287 


3 


9.0 


9-3 


46 


I316 


1345 


1374 


1404 


1433 


1462 


1492 


1521 


1550 


1580 


4 

5 


12.0 
ISO 


12.4 
IS-S 


47 


1609 


1638 


1668 


1697 


1727 


1756 


1786 


1815 


1845 


1874 


6 


18.0 


18.6 


48 


1904 


1934 


1963 


1993 2023 


2052 


2082 


2112 


2141 


2171 


7 


21.0 


21.7 


49 
1.30 


2201 


2231 


2261 


2290 


2320 


2350 


2380 


2410 


2440 


2470 


8 
9 


24.0 
27.0 


24.8 
27.9 


2.2500 


2530 


2560 


2590 


2620 


2650 


2680 


2710 


2741 


2771 


N 


N"^ 


1 


2 


3 


4 


5 


6 


7 


8 


9 


P P 1 



Moving the decimal point one place in N is equivalent to moving it two places in N^. 

(88) 







Squares 


of Numbers 


from 


1.500 to 2.<MM) 






N 


N-'O 


1 


2 


3 


4 


5 


6 


7 


8 9 


P P 


1.50 

61 


2.2500 


2530 


2560 


2590 


2620 


2650 


2680 


2710 


2741 2771 


I 


30 

30 


31 

3-1 


2801 


2831 


2861 


2892 


2922 


2952 


2983 


3013 


3043 


3074 


52 


3104 


3134 


3165 


3195 


3226 


3256 


3287 


3317 


3348 


3378 


2 


6.0 


6.2 


63 


3409 


3440 


3470 


3501 


3532 


3562 


3593 


3624 


3654 


3685 


3 
4 


9.0 

I2.0 


9-3 
12.4 


64 


3716 


3747 


3778 3808 


3839 


3870 


3901 


3932 


3963 


3994 


5 


150 


15-5 


55 


2.4025 


4056 


4087 


4118 


4149 


4180 


421 1 


4242 


4274 


4305 


6 


18.0 


18.6 


56 


4336 


4367 


4398 


4430 


4461 


4492 


4524 


4555 


4586 


4618 


7 
8 


21.0 
24.0 


21.7 
24.8 


57 


4649 


4680 


4712 


4743 


4775 


4806 


4838 


4869 


4901 


4932 


g 


27.0 


27. Q 


58 


4964 


4996 


5027 


5059 


5091 


5122 


5154 


5186 


5217 


5249 








59 

1.60 
61 


5281 


5313 


5345 


5376 


5408 


5440 


5472 


5504 


5536 


5568 


I 
2 
3 


32 

3-2 

6.4 
9.6 


33 

i-3 
6.6 
9-9 


2.5600 


5632 


5664 


5696 


5728 


5760 


5792 


5824 


5857 


5889 


5921 


5953 


5985 


6018 


6050 


6082 


6115 


6147 


6179 


6212 


62 


6244 


6276 


6309 


6341 


6374 


6406 


6439 


6471 


6504 


6536 


4 


12.8 


13-2 


63 


6569 


6602 


6634 


6667 


6700 


6732 


6765 


6798 


6830 


6863 


5 
5 


16.0 
19.2 
22.4 


16.5 
19.8 
231 


64 


6896 


6929 


6962 


6994 


7027 


7060 


7093 


7126 


7159 


7192 


7 


65 


2.7225 


7258 


7291 


7324 


7357 


7390 


7423 


7456 


7490 


7523 


8 


25.6 


26.4 


66 


7556 


7589 


7622 


7656 


7689 


7722 


7756 


7789 


7822 


7856 


9 


28.8 


29.7 


67 


7889 


7922 


7956 


7989 


8023 


8056 


8090 


8123 


8157 


8190 




34 


35 


68 


8224 


8258 


8291 


8325 


8359 


8392 


8426 


8460 


8493 


8527 


I 


3-4 


3-5 


69 


8561 


8595 


8629 


8662 


8696 


8730 


8764 


8798 


8832 


8866 


2 


6.8 


7.0 


1.70 

71 


2.8900 


8934 


8968 


9002 


9036 


9070 


9104 


9138 


9173 


9207 


3 
4 
S 


10.2 
13-6 
17.0 


10.5 
14.0 
17-5 


9241 


9275 


9309 


9344 


9378 


9412 


9447 


9481 


9515 


9550 


72 


9584 


9618 


9653 


9687 


9722 


9756 


9791 


9825 


9860 


9894 


6 


20.4 


21.0 


73 


2.9929 


9964 


9998 


0033 


0068 


0102 


0137 


0172 


0206 


0241 


7 

8 


23.8 
27.2 


24-5 
28.0 


74 


3 0276 


0311 


0346 


0380 


0415 


0450 


0485 


0520 


0555 


0590 


9 


30.6 


31S 


75 


3.0625 


0660 


0695 


0730 0765 


0800 


0835 


0870 


0906 


0941 




36 

^ 6 


37 


76 


0976 


lOII 


1046 


1082 1117 


1152 


1 188 


1223 


1258 


1294 




77 


1329 


1364 


1400 


1435 


1471 


1506 


1542 


1577 


1613 


1648 




7-2 


7-4 


78 


1684 


1720 


I7S5 


1791 


1827 


1862 


1898 


1934 


1969 


2005 


3 


10.8 


I I.I 


79 


2041 


2077 


2113 


2148 


2184 


2220 


2256 


2292 


2328 


2364 


4 


14.4 


14.8 


I.80 

81 


3 2400 


2436 


2472 


2508 


2544 


2580 


2616 


2652 


2689 


2725 


S 
6 
7 


18.0 
21.6 

25-2 


18.S 
22.2 
259 


2761 


2797 


2833 


2870 


2906 


2942 


2979 


3015 


3051 


3088 


82 


3124 


3160 


3197 


3233 


3270 


3306 


3343 


3379 


3416 


3452 


8 






83 


3489 


3526 


3562 


3599 


3636 


3672 


3709 


3746 


3782 


3819 


9 


32.4 


33-3 


84 


3856 


3893 


3930 


3966 


4003 


4040 


4077 


4114 


4151 


4188 




38 


39 


85 


34225 


4262 


4299 


4336 


4373 


4410 


4447 


4484 


4522 


4559 


I 


3-8 


3-9 


86 


4596 


4633 


4670 


4708 


4745 


4782 


4820 


4857 


4894 


4932 


2 
3 


7.6 
11.4 


7.3 
II. 7 


87 


4969 


5006 


S044 


5081 


5119 


5156 


5194 


5231 


5269 


5306 


4 


lS-2 


15-6 


88 


5344 


5382 


5419 


5457 


5495 


5532 


5570 


5608 


5645 5683 


5 


19.0 


I9S 


89 


S72I 


5759 


5797 


5834 


5872 


5910 


5948 


5986 


6024 1 6062 


6 


22.8 


23-4 


I.90 
91 


3.6100 


6138 


6176 


6214 


6252 


6290 


6328 


6366 


6405 6443 


7 
8 
9 


26.6 
30.4 
34-2 


273 
31.2 

351 


6481 


6519 


6557 


6596 


6634 


6672 


6711 


6749 


6787 


6826 


92 


6864 


6902 


6941 


6979 


7018 


7056 


7095 


7133 


7172 


7210 




40 


41 


93 


7249 


7288 


7326 


7365 


7404 


7442 


7481 


7520 


7558 


7597 


I 


4.0 


4.1 


94 


7636 


7675 


7714 


7752 


7791 


7830 


7869 ' 7908 


7947 7986 


2 


8,0 


8.2 


95 


38025 


8064 


8103 8142 


8181 


8220 8259 8298 


8338 8377 


3 




12.3 


96 


8416 


8455 8494 8534 


8S73 


8612 8652 


8691 


8730 


8770 


4 








1 ■ " 1 " ; " 










5 


20.0 


20.S 


97 


8809 


8848 ; 8888 8927 I 8967 


9006 1 9046 


19085 


9125 


9164 


() 


24.0 


24.6 


98 


9204 


9244 


9283 1 9323 9363 


9402 9442 


9482 


9521 9561 


7 


28.0 


28.7 


99 
2.00 


9601 


9641 


9681 


9720 


9760 


9800 9840 9880 9920 9960 


S 
9 


32.0 
36.0 


32.8 
36.9 


4.0000 


0040 


0080 


0120 


0160 


0200 0240 0280 0321 


0361 


N 


1 ■ 1 
N'O 1 1 1 2 3 4 


5 6 7 8 9 


P P 



Moving the decimal point one place in N ia equivalent to moving it two places in N' 

(89) 







Squares 


of Numbers from 2.()()() to 2.500 








N 


N'-O 


1 2 

1 


3 4 


5 


6 


7 


8 


9 


P P 


2.00 

01 


4. 0000 


0040 


0080 


0120 0160 


0200 


0240 


0280 0321 


0361 


I 


40 

4.0 


41 

4.1 


0401 


0441 


0481 


0522 


0562 


0602 


0643 


0683 0723 


0764 


02 


0804 


0844 


0885 


0925 


0966 


1006 


1047 


1087 I I 28 


1 168 


2 


8.0 


8.2 


03 


1209 


1250 j 1290 


1331 


1372 


1412 


1453 


1494 


1534 


1575 


3 


12.0 


12.3 
























4 


16.0 


16.4 


04 


1616 


1657 


1698 


1738 


1779 


1820 


1861 


1902 


1943 


1984 


5 


20.0 


20.S 


05 


42025 


2066 


2107 


2148 


2189 


2230 


2271 


2312 


2354 


2395 


6 


24.0 


24.6 


06 


2436 


2477 


2518 


2560 


2601 


2642 


2684 


2725 


2766 


2808 


7 


28.0 


28.7 


07 


2849 


! 
2890 2932 


2973 


3015 


3056 


3098 


3139 


3181 


3222 


8 
9 


32.0 
36.0 


32.8 
36.9 


08 


3264 


3306 3347 


3389 


3431 


3472 


3514 


3556 


3597 


3639 


09 
2.10 

11 


3681 


3723 


3765 


3806 


3848 


3890 


3932 


3974 


4016 


4058 


I 
2 
3 


42 

4.2 

8.4 

12.6 


43 

4.3 

8.6 

12.9 


4.4100 


4142 


4184 


4226 


4268 


4310 


4352 


4394 


4437 


4479 


4521 


4563 


4605 j 4648 1 4690 


4732 


4775 


4817 


4859 ' 4902 


12 


4944 4986 


5029 5071 5114 


5156 5199 


5241 


5284 5326 


4 


16.8 


17.2 


13 


5369 


5412 


5454 1 5497 


5540 


5582 


5625 


5668 


5710 5753 


5 


21.0 


21. S 






















6 


25.2 


25.8 


14 


5796 


5839 i 5882 ; 5924 


5967 


6010 


6053 


6096 


6139 


6182 


7 


29.4 


30.1 


15 


4.6225 


6268 631 1 


6354 


6397 


6440 


6483 


6526 


6570 


6613 


8 


,S.S.6 


34.4 


16 


6656 


6699 


6742 


6786 


6829 


6872 


6916 


6959 


7002 


7046 


9 


37.8 


38.7 


17 


7089 


7132 


7176 


7219 


7263 


7306 


7350 


7393 


7437 


7480 




44 


45 


18 


7524 


7568 


761 1 


7655 


7699 


7742 


7786 


7830 


7873 


7917 


I 


4.4 


4.5 


19 
2.20 

21 


7961 


8005 


8049 


8092 


8136 


8180 


8224 


8268 


8312 


8356 


2 
3 

4 

5 


8.8 
13.2 
17.6 
22.0 


9.0 
13-5 
18.0 

22.5 


4.8400 


8444 


8488 


8532 


8576 


8620 


8664 


8708 


8753 


8797 


8841 


8885 


8929 


8974 


9018 


9062 


9107 


9151 


9195 


9240 


22 


9284 


9328 


9373 


9417 9462 


9506 


9551 


9595 


9640 


9684 


6 


26.4 


27.0 


23 


4.9729 


9774 


9818 9863 9908 


9952 9997 


0042 


0086 


0131 


7 
8 


30.8 
35. 2 


31.5 

36.0 


24 


50176 


0221 


0266 0310 0355 


0400 0445 0490 1 0535 0580 


9 


39.6 


40.5 


25 


5.0625 


0670 


0715 0760 


0805 


0850 


0895 0940 0986 1 1031 








26 


1076 


1121 


1 166 


1212 


1257 


1302 


1348 1393 


1438 


1484 


I 


46 

4.6 


47 

4.7 


27 


1529 


1574 


1620 


1665 


1711 


1756 


1802 1847 


1893 


1938 


2 


9.2 


9.4 


28 


1984 


2030 


2075 


2121 


2167 


2212 


2258 2304 


2349 


2395 


3 


13.8 


14.1 


29 
2.30 

31 


2441 2487 


2533 


2578 


2624 


2670 


2716 2762 


2808 


2854 


4 
5 
6 
7 


18.4 
23.0 
27.6 
32.2 


18.8 

23. S 
28.2 

32.9 


52900 


2946 


2992 


3038 3084 


3130 


, J 
3176 3222 


3269 


3315 
3778 


3361 


3407 


3453 


3500 


3546 


3592 


3639 


368s 


3731 


32 


3824 


3870 


3917 


3963 


4010 


4056 


4103 


4149 


4196 


4242 


8 


36.8 


37.6 


33 


4289 


4336 


4382 


4429 4476 


4522 


4569 


4616 


4662 


4709 


9 


41.4 


42.3 


34 


4756 


4803 


4850 


4896 4943 


4990 


5037 S084 


5131 


5178 




48 


49 


35 


5 5225 


5272 


5319 5366 5413 


5460 5507 5554 


5602 


5649 


I 


4.8 


4 


9 


36 


5696 


5743 


5790 


5838 5885 


5932 


5980 6027 


6074 


6122 


2 


9.0 


9 


8 






















3 


14.4 


14 


7 


37 


6169 


6216 


6264 


6311 


6359 


6406 


6454 6501 


6549 


6596 


4 


19.2 


10 


6 


38 


6644 


6692 


6739 


6787 


6835 


6882 


6930 6978 


7025 


7073 


5 


24.0 


24 


,■> 


39 
2.40 

41 


7121 


7169 


7217 


7264 


7312 
7792 


7360 


7408 7456 


7504 


7552 
8033 


6 

7 
8 
9 


28.8 
33.6 
38.4 
43.2 


29 
34 
39 

44 


4 
3 

2 

I 


5 7600 


7648 


7696 


7744 


7840 


7888 


7936 


7985 


8081 


8129 


8177 


8226 


8274 


8322 


8371 


8419 


8467 


8516 


42 


8564 


8612 


8661 


8709 


8758 


8806 8855 8903 8952 


9000 




50 


51 


43 


9049 


9098 


9146 


9195 


9244 


9292 : 9341 9390 


9438 


9487 


I 


5.0 


S.I 


44 


59536 


9585 


9634 


9682 


9731 


9780 9829 9878 


9927 


9976 


2 


10. 


10.2 


45 


6.0025 


0074 


0123 


0172 


0221 


0270 0319 0368 


0418 


0467 


3 


15.0 


15-3 


46 


0516 


0565 0614 \ 0664 


0713 


0762 


0812 


0861 


0910 


0960 


4 


20.0 


20.4 
























5 


25.0 


25.5 


47 


1009 


1058 


1 108 


1157 


1207 


1256 


1306 


1355 1405 


1454 


6 


30.0 


30.6 


48 


1504 


1554 


1603 


1653 


1703 


1752 


1802 


1852 1901 


1951 


7 


35-0 


35-7 


49 
2.50 


2001 


2051 


2101 


2150 


2200 
2700 


2250 


2300 


2350 1 2400 1 2450 


8 
9 


40.0 
45.0 


40.8 
459 


6.2500 


2550 


2600 


2650 


2750 


2800 


2850 


2901 


2951 


N 


N'-O 


1 


2 


3 


4 


5 


6 


7 


8 


9 


P P 



Moving the decimal point one place in N is equivalent to moving it two places in X- 

(90) 







Squ 


ares 


of Numbers from 


L 2.500 to 3.0(M) 






N 


N-0 1 2 


3 


4 


5 


6 


7 


8 


9 


P P 1 


2.50 

51 


6.2500 2550 1 2600 


2650 


2700 


2750 


2800 


2850 


2901 


2951 


I 


50 


51 

5-1 


3001 


3051 2101 


3152 


3202 


3252 


3303 


3353 


3403 3454 


52 


3504 


3554 3605 


3655 


3706 


3756 


3807 


3857 


3908 3958 


2 


10. 


10.2 


53 


4009 


4060 41 10 


4161 


4212 


4262 


4313 


4364 


4414 4465 


.? 


ISO 


iS-3 


54 


4516 


4567 4618 


4668 


4719 


4770 


4821 


4872 


4923 4974 


4 
5 


20.0 
25.0 


20.4 
25-5 


55 


6.5025 


5076 5127 


5178 


5229 


5280 


5331 


5382 5434 5485 


6 


30.0 


30.6 


56 


5536 


5587 ' 5638 


5690 


5741 


5792 


5844 


5895 


5946 5998 


7 


350 


35-7 


57 


6049 


6100 6152 


6203 


6255 


6306 


6358 


6409 


6461 6512 


8 


40.0 


40.8 


58 


6564 6616 6667 


6719 


6771 


6822 


6874 


6926 


6977 7029 








59 
2.60 

61 


7081 7133 , 7185 


7236 


7288 


7340 


7392 


7444 


7496 


7548 


I 

.3 


53 

5-2 

10.4 
1S.6 


53 

5-3 
10.6 
iS-9 


6.7600 7652 7704 


7756 


7808 


7860 


7912 


7964 


8017 


8069 
8592 


8121 18173 8225 


8278 


8330 


8382 


8435 


8487 


8539 


62 


8644 


8696 8749 


8801 


8854 


8906 


8959 


901 1 


9064 


9116 


4 


20.8 


21.2 


63 


9169 


9222 9274 


9327 


9380 


9432 


9485 


9538 


9590 , 9643 


5 
6 
7 


26.0 


26.5 
31.8 
37-1 


64 


6.9696 


9749 980219854 


9907 


9960 


0013 


0066 


0119 0172 


31-2 

36.4 


65 


7.0225 


0278 0331 


0384 


0437 


0490 


0543 


0596 


0650 0703 


8 


41.6 


42.4 


66 


0756 


0809 0862 


0916 


0969 


1022 


1076 


1129 


1182 1236 


Q 


46.8 


47-7 


67 


1289 


1342 1396 


1449 


1503 


1556 


1610 


1663 


1717 1770 




54 


55 


68 


1824 


1878 1931 


1985 


2039 


2092 


2146 


2200 


2253 2307 


I 


5-4 


S-S 


69 
2.70 

71 


2361 


2415 2469 


2522 


2576 


2630 


2684 


2738 


2792 2846 


2 
3 

4 
5 


10.8 
16.2 
21.6 
27.0 


II.O 

16.5 
22.0 
275 


7.2900 


2954 3008 


3062 


3116 


3170 


3224 


3278 


3333 3387 


3441 


3495 3549 


3604 


3658 


3712 


3767 


3821 


3875 3930 


72 


3984 


4038 4093 


4147 


4202 


4256 


43" 


4365 


4420 4474 


6 


32.4 


330 


73 


4529 


4584 


4638 


4693 


4748 


4802 


4857 


4912 


4966 5021 


7 
S 


37.8 
43-2 


38.S 
44.0 


74 


5076 


S131 


S186 


5240 


5295 


5350 


5405 


5460 


5515 5570 


9 


48.6 


495 


75 


75625 


5680 


5735 


5790 


5845 


5900 


5955 


6010 


6066 6121 








76 


6176 


6231 


6286 


6342 


6397 


6452 


6508 


6563 


6618 , 6674 




56 

5-6 
1 1.2 


57 


77 


6729 


6784 6840 


6895 


6951 


7006 


7062 


7117 


7173 


7228 




5-7 
II. 4 


78 


7284 


7340 


7395 


7451 


7507 


7562 


7618 


7674 


7729 


7785 


3 


16.8 


17. 1 


79 
2.80 

81 


7841 


7897 


7953 


8008 


8064 


8l20 


8176 


8232 


8288 


8344 


4 
5 
6 
7 


22.4 
28.0 
33-6 
39-2 


22.8 
28.5 
34-2 
39-9 


7.8400 


8456 


8512 


8568 


8624 


8680 


8736 


8792 


8849 


8905 


8961 


9017 


9073 


9130 


9186 


9242 


9299 


9355 


941 1 


9468 


82 


7-9524 


9580 


9637 


9693 


9750 


9806 


9863 


9919 


9976 


0032 


8 


44.8 


45-6 


83 


8.0089 


0146 


0202 0259 


0316 


0372 


0429 


0486 


0542 


0599 


9 


50.4 


51-3 


84 


0656 


0713 


0770 0826 


0883 


0940 


0997 


1054 


nil 


1 168 




58 


59 


85 


8.1225 


1282 


1339 1 1396 1 1453 


I5IO 


1567 


1624 


1682 1739 


I 


5-S 


5-9 


86 


1796 


1853 


1910 1968 


2025 


2082 


2140 


2197 


2254 


2312 


2 


1 1.6 


II. 8 


87 


2369 


2426 


2484 2541 


2599 


2656 


2714 


2771 


2829 


2886 


4 


17.4 
232 


17.7 
23.6 


88 


2944 


3002 


3059 3117 


3175 


3232 


3290 


3348 


3405 


3463 


5 


29.0 


295 


89 
2.90 

91 


3521 


3579 


3637 3694 


3752 


3810 


3868 


3926 


3984 


4042 


6 

7 
8 
9 


34.8 
40.6 
46.4 

52.2 


35-4 
41-3 

47.2 
53-1 


8.4100 


4158 
4739 


4216 

4797 


4274 


4332 


4390 


4448 


4506 


4565 


4623 


4681 


4856 


4914 


4972 


5031 


5089 


5147 


5206 


92 


5264 5322 5381 5439 5498 


5556 


5615 


5673 


5732 


5790 




60 

6.0 


61 

6.1 


93 


5849 5908 5966 6025 1 6084 

1 1 1 


6142 


6201 


6260 


6318 


6377 




94 


6436 


1 
6495 6554 6612 6671 


6730 


6789 


6848 


6907 


6966 




12.0 


12.2 


95 


8.7025 7084 7143 


7202 ! 7261 


7320 


7379 


7438 


7498 


7557 


,•; 


18.0 


18.3 


96 


7616 7675 j 7734 


7794 


7853 


7912 


7972 


8031 


8090 


8150 


4 


24.0 


24.4 


97 


8209 8268 8328 


8387 


8447 


8506 


8566 


8625 


8685 


8744 


S 
6 


30.0 
36.0 


30.S 
36.6 


98 


8804 


8864 1 8923 


8983 


9043 


9102 


9162 


9222 


9281 


9341 


7 


42.0 


42.7 


99 
3.00 


8.9401 


9461 


9521 


9580 


9640 


9700 


9760 


9820 


9880 


9940 
0541 


8 




48.0 

.';4o 


48.8 
540 


9.0000 


0060 


0120 


0180 


0240 


0300 


0360 


0420 


0481 


N 


N-0 1 2 3 4 


5 6 7 8 9 


P P 



Moving the decimal point one place in N is equivalent to moving it two places in N- 

(91) 







Squares of Numbers fi 


•0111 


3.000 to 


3.500 








N 


N^O 


1 


2 


3 


4 


5 


6 


7 


8 


9 


P P 




3.00 
01 


g.oooo 


0060 
0661 


0120 


0180 


0240 


0300 


0360 


0420 


0481 


0541 


CO 


Gl 

6.1 




o6oi 


0721 


0782 


0842 


0902 


0963 


1023 


1083 


1 144 


I 


6.0 




02 


1204 


1264 


1325 


138s 


1446 


1506 


1567 


1627 


1688 


1748 


2 


12.0 


12.2 




03 


1809 


1870 


1930 


1991 


2052 


2112 


2173 


2234 


2294 


2355 


3 

4 


24.0 


18.3 
24.4 




04 


2416 


2477 


2538 


2598 


2659 


2720 


2781 


2842 


2903 


2964 


5 


30.0 


30.5 




05 


93025 


3086 


3147 


3208 


3269 


3330 


3391 


3452 


3514 


3575 


6 


36.0 


36.6 




06 


3636 


3697 


3758 


3820 


3881 


3942 


4004 


4065 


4126 


4188 


7 
8 


42.0 
48.0 


42.7 
48.8 




07 


4249 


4310 


4372 


4433 


4495 


4556 


4618 


4679 


4741 


4802 


9 


S4.0 


54Q 




08 


4864 


4926 


4987 


5049 


5111 


5172 


5234 


5296 


5357 


5419 








09 
3.10 

11 


5481 


5543 


5605 


5666 


5728 


5790 


5852 


5914 


5976 


6038 


62 


63 

6.3 
12.6 
18.9 




9.6100 


6162 


6224 


6286 


6348 


6410 


6472 


6534 


6597 


6659 


I 
2 
3 


0.2 
12.4 
18.6 




6721 


6783 


6845 


6908 


6970 


7032 


7095 


7157 


7219 


7282 




12 


7344 


7406 


7469 


7531 


7594 


7656 


7719 


7781 


7844 


7906 


4 


24.8 


25.2 




13 


7969 


8032 


8094 


8157 


8220 


8282 


8345 


8408 


8470 


8533 


6 


310 
37-2 


31-5 
37.8 




14 


8596 


8659 


8722 


8784 


8847 


8910 


8973 


9036 


9099 


9162 


7 


43-4 


44.1 




15 


99225 


9288 


9351 


9414 


9477 


9540 


9603 


9666 


9730 


9793 


8 


49.6 


50.4 




16 


9.9856 


9919 


9982 


0046 


0109 


0172 


0236 


0299 


0362 


0426 


9 


55.8 


56.7 




17 


10.0489 


0552 


0616 


0679 


0743 


0806 


0870 


0933 


0997 


1060 


64 


65 




18 


1124 


1 188 


1251 


1315 


1379 


1442 


1506 


1570 


1633 


1697 


I 


6.4 


6.5 




19 


1761 


1825 


1889 


1952 


2016 


2080 


2144 


2208 


2272 


2336 


2 


12.8 


I3-0 




3.20 

21 


10.2400 


2464 


2528 


2592 


2656 


2720 


2784 


2848 


2913 


2977 


6 
4 

5 


19.2 
25.6 
32.0 


IQ-S 
26.0 

32. s 




3041 


3105 


3169 


3234 


3298 


3362 


3427 


3491 


3555 


3620 




22 


3684 


3748 


,3813 


3877 


3942 


4006 


4071 


4135 


4200 


4264 


6 


38.4 


39-0 




23 


4329 


4394 


4458 


4523 


4588 


4652 


4717 


4782 


4846 


491 1 


7 

8 


44.8 
51.2 


45-5 
52.0 




24 


4976 


5041 


5106 


5170 


5235 


5300 


5365 


5430 


5495 


5560 


9 


57-6 


58.S 




25 


10.5625 


5690 


5755 


5820 


5885 


5950 


6015 


6080 


6146 


6211 


66 


67 




26 


6276 


6341 


6406 


6472 


6537 


6602 


6668 


6733 


6798 


6864 


























I 


0.0 


6.7 




27 


6929 


6994 


7060 


7125 


7191 


7256 


7322 


7387 


7453 


7518 


2 


13-2 


13-4 




28 


7584 


7650 


7715 


7781 


7847 


7912 


7978 


8044 


8109 


8175 


3 


19.8 


20.1 




29 


8241 


8307 


8373 


8438 1 8504 


8570 


8636 


8702 


8768 


8834 


4 


26.4 


26.8 




3.30 

31 


10.8900 


8966 


9032 


9098 


9164 


9230 


9296 


9362 


9429 


9495 


6 
7 


330 
3Q-6 
46.2 


33-5 
40.2 
46.9 




10.9561 


9627 


9693 


9760 


98,26 


9892 


9959 


0025 


0091 


0158 




32 


11.0224 


0290 


0357 


0423 


0490 


0556 


0623 


0689 


0756 


0822 


8 


52.8 


53-6 




33 


0889 


0956 


1022 


1089 


1156 


1222 


1289 


1356 


1422 


1489 


y 


59-4 


60.3 




34 


1556 


1623 


1690 


1756 


1823 


1890 


1957 


2024 


2091 


2158 


6S 


69 




35 


11.2225 


2292 


2359 


2426 


2493 


2560 


2627 


2694 


2762 


2829 


I 


0.^ 


0.9 

13.8 




36 


2896 


2963 


3030 


3098 


3165 


3232 


3300 


3367 


3434 


3502 




13-6 


























3 


20.4 


20.7 




37 


3569 


3636 


3704 


3771 


3839 


3906 


3974 


4041 


4109 


4176 


4 


27.2 


27.6 




38 


4244 


4312 


4379 


4447 


4515 


4582 


4650 


4718 


4785 


4853 


5 


34-0 


34-5 




39 


4921 


4989 


5057 


5124 


5192 


5260 


5328 


5396 


5464 


5532 


6 


40.8 
47.6 

54-4 
61.2 


41.4 
48.3 
55-2 
62.1 




3.40 

41 


11.5600 


5668 


5736 


5804 


5872 


5940 


6008 


6076 
6759 


6145 


6213 


V 
8 
9 




6281 


6349 


6417 


6486 


6554 


6622 1 6691 


6827 


6896 




42 


6964 


7032 


7101 


7169 7238 


7306 7375 I 7443 


7512 


7580 


70 


71 




43 


7649 


7718 


7786 


7855 7924 


7992 8061 


8130 


8198 


8267 


I 


7.0 


71 




44 


8336 


8405 


8474 


8542 


861 1 


8680 8749 


8818 


8887 


8956 


2 


14.0 


14.2 




45 


11.9025 


9094 


9163 


9232 


9301 


9370 


9439 


9508 


9578 


9647 


3 


21.0 


21.3 




46 


11.9716 


9785 


9854 


9924 


9993 


0062 


0132 


0201 


0270 


0340 


4 
.S 


28.0 
3S-0 


28.4 
35-5 




47 


12.0409 


0478 


0548 0617 


0687 


0756 


0826 


0895 


0965 


1034 


6 


42.0 


42.6 




48 


1104 


1 174 


1243 1313 


1383 


1452 


1522 


1592 


1661 


1731 


7 


49.0 


49-7 




49 
3.50 


1801 


1871 


1941 


2010 


2080 
2780 


2150 


2220 


2290 


2360 


2430 


8 
9 


56.0 
63.0 


56.8 
63-9 




12.2500 


2570 


2640 


2710 


2850 


2920 


2990 


3061 


3131 




N 


n'o 


1 2 3,4 


5 


6 j 7 


8 


9 


P P 





Moving the decimal point one jjlace in N is equivalent to moving it hvo places in N- 

(92) 



TABLE YIT 



TABLE FOR TRANSFORMING ANGLES 



To CIIAXGE FROM MlNlTKS AND SECONDS INTO THK DkCIMAI, 1^ A UTS OF A De<;KEE 



From Seconds 


From Minutes 1 


i' 


= 0°.00028 


8" 


= 0°. 00222 


i' = o°.oi7 


8' =o°.i33 


2 


= o°.ooo56 


9" 


= 0°.00250 


2' = o°.033 


9' = o°.i50 


3 


= o°.ooo83 


10 


= 0°. 00278 


3' = 0^.050 


10' = o°.i67 


4 


= 0°.OOIII 


20 


= 0°. 00556 


4' = 0^.067 


20 =o°.333 


s' 


= 0°. 00139 


30" 


= 0°. 00833 


5' = o°.o83 


30' =o°.500 


6' 


= 0°. 00167 


40" 


= 0°.OIIII 


6' = o°.ioo 


40' = o°.667 


7' 


= 0°. 00194 


50 


= 0°. 01389 


7' = o°.ii7 


50' =0.833 



To CHANGE FROM DECIMAL PaUTS OF A DEGREE INTO MlNUTES AND SECONDS 



0°.0000 = 


0.000 = 


0" 


0°.20 = 12. = 12' 


o°.6o = 36.0 = 36' 


o°.oooi = 

0°.0002 = 

o°.ooo3 = 


o'.oo6 = 

o'.OI2 = 

o'.oi8 = 


o".36 

0".72 

I ".08 


0°.2I = I2'.6 = 12' 36" 
0°.22 = I3'.2 = 13' 12" 

o°.23 = 13.8 = 13' 48" 


o°.6i = 36'.6 = 36' 36" 
o°.62 = 37'-2 = 37' 12" 
o°.63 = 37'.8 = 37' 48" 


o°.ooo4 = 
o°.ooo5 = 
o°.ooo6 = 


O'.024 = 

o'.03o = 
o'.036 = 


I ".44 
I ".80 

2".l6 


o°.24 = i4'.4 = 14' 24" 
o°.25 = i5'.o = 15' 
o°.26 = i5'.6 = 15' 36" 


o°.64 = 38'.4 = 38' 24" 
o°.65 = 39.0 = 39' 
o°.66 = 39. 6 = 39' 36" 


o°.ooo7 = 
o°.ooo8 = 
o°.ooo9 = 


0'.042 = 

0.048 = 
0.054 = 


2".52 

2 ".88 
3".24 


o°.27 = i6'.2 = 16' 12" 
0°.28 = 16.8 = 16' 48" 
o°.29 = I7'.4 = 17' 24" 


o°.67 = 40'. 2 = 40' 12" 
o°.68 = 40. 8 = 40' 48" 
o°.69 = 41.4 = 41' 24" 


o°.ooio = 


o'.o6o = 


3".6o 


o°.30 = iS'.o = 18' 


o°.70 = 42'.o = 42' 


o°.ooi = 

0°.002 = 

o°.oo3 = 


o'.o6 = 

o'.I2 = 

0.18 = 


3".6 

7".2 

io".8 


o°.3i = 18.6 = 18' 36" 
o°.32 = i9'.2 = 19' 12" 
o°.33 = 19-8 = 19' 48" ^ 


o°.7i = 42'.6 = 42' 36" 
o°.72 = 43'. 2 = 43' 12" 
o°.73 = 43'.8 = 43' 48 " 


o°.oo4 = 
o°.oo5 = 
o°.oo6 = 


o'.24 = 
0.30 = 
o'.36 = 


I4".4 
i8".o 

2I".6 


0°.34 = 20'.4 = 20' 24" 
o°.3S = 2i'.o = 21' 
o°.36 = 2i'.6 = 21' 36" 


o°.74 = 44'-4 = 44' 24" 
o°.75 = 45'-0 = 45' 
o°.76 = 45'.6 = 45' 36" 


o°.oo7 = 
o°.oo8 = 
o°.oo9 = 


o'.42 = 
0.48 = 
o'.54 = 


25".2 

28".8 
32".4 


o°.37 = 22'. 2 = 22' 12" 
o°.38 = 22'.8 = 22' 48" 
o°.39 = 23.4 = 23' 24" 


o''.77 = 46'.2 = 46' 12" 
o°.78 = 46'.8 = 46' 48" 
o°.79 = 47'.4 = 47' 24" 


o°.oio = 


o'.6o = 


36".o 


o°.40 = 24'.o = 24' 


o°.8o = 48'.o = 48' 


0°.0I = 
0°.02 

o°.03 = 


0.6 = 
I '.2 = 
1.8 = 


36" 
i' 12" 
I' 48" 


o°.4i = 24'.6 = 24' 36" 
o°.42 = 25'. 2 = 25' 12" 
0°.43 = 25.8 = 25' 48" 


o°.8i = 48'.6 = 48' 36" 
o°.82 = 49'.2 = 49' 12" 
o°.83 = 49'-8 = 49' 48" 


o°.04 
o°.oS = 
o°.o6 = 


2'.4 = 

3'.o = 
3.6 = 


2' 24" 
3' 
3' 36" 


o°.44 = 26'.4 = 26' 24" 

o°.45 = 27'.o = 27' 

0° 46 = 27.6 = 27' 36" 


o°.84 = 50'.4 = 50' 24" 
o°.85 = 5i'-o = 51' 
o°.86 = 5i'-6 = si' 36" 


o°.07 = 
o^.oS = 
o°.09 = 


4.2 = 
4.8 = 
S'-4 = 


4 48" 
5' 24" 


o°.47 = 28.2 = 28' 12" 
o°.48 = 28.8 = 28' 48" 
o°.49 = 29.4 = 29' 34" 


o°.87 = 52'-2 = 52' 12" 
o°.88 = 52'.8 = 52' 48" 
o°.89 = 53-4 = 53' 24" 


0°.IO = 


6.0 = 


6' 


o°.50 = 3o'.o = 30' 


o°.90 = S4'o = 54' 


0°.II 
0°.I2 = 

o°.i3 = 


6.6 = 

7'.2 = 
7'.8 = 


6' 36" 

7' 12" 
7' 48" 


o°.5i = 3o'.6 = 30' 36" 
o°.52 = 31.2 = 31' 12" 
o°.53 = 31-8 = 31' 48" 


o°.9i = 54'-6 = 54' 36" 
o°.92 = S5'-2 = 55' 12" 
o°.93 = 55'-8 = 55' 48 " 


o°.i4 = 
o°.i5 = 
o°.i6 


8'.4 = 
9.0 = 
9.6 = 


8' 24" 
9' 
9' 36" 


o°.54 = 32.4 = 32' 24" 
o°.55 = 33.0 = 33' 
o°.56 = 33-6 = 33' 36" 


o°.94 = 56.4 = 56' 24" 
o°.95 = 57'-0 = 57' ,„ 
o°.96 = 57'-6 = 57 30 


o°.i7 = 
o°.i8 = 
o°.i9 = 


I0'.2 

10.8 
ii'.4 = 


10' 12" 
10' 48" 
11' 24" 


o°.57 = 34-2 = 34' 12" 
o°.58 = 34'.8 = 34' 48" 
0°.59 = 35-4 = 35' 24 " 


o°.97 = 58. 2 = 58' 12" 
o°.98 = 58.8 = 58' 48 " 
o°.99 = 59'-4 = 59' 24 " 


0°.20 


I2'.0 = 


12' 


o°.6o = 36'.© = 36' 


i°.oo = 6o'.o = 60' 



('.);i) 



TABLE VIII — CONSTAIv^TS 



MATHEMATICAL CONSTANTS 



Ratio of circumference of a circle to its 

diameter ir = 3.14159265 

One radian = 57°. 29578 

One radian = 3437'. 74677 

One radian = 206264". 806 

One degree = 0.01745329 radians 

One minute = 0.00029089 radians 

One second = 0.00000485 radians 

Sin 1" = 0.00000485 

Base of natural logarithms e = 2.71828183 . . 
Modulus of common logarithms M = 0.43429448 



Logarithm 



0.49714987 

1.75812263 

3.53627388 

5.31442513 

8.24187737-10 

6.46372612 - 10 

4.68557487 - 10 

4.68557487 - 10 

0.43429448 

9.63778431-10 



RELATION BETWEEN ENGLISH AND METRIC 
STANDARDS OF LENGTH 

1 inch = 2.54001 centimeters, 1 centimeter = 0.393700 inches. 

1 foot = 0.304801 meters, 1 meter = 3.28083 feet. 

1 mile = 1.60935 kilometers, 1 kilometer = 0.62137 miles. 

1 nautical mile = 6080.27 feet = 1.85325 kilometers. 

GEODETIC, ASTRONOMICAL, AND PHYSICAL 

CONSTANTS 

Equatorial semi-diameter of the Earth (Clarke), 3963.3 miles. 

Polar semi-diameter of the Earth (Clarke), 3949.8 miles. 

Equatorial horizontal parallax of Sun, 8". 80. 

Mean distance of Sun from the Earth, 92,897,000 miles. 

Mean parallax of the moon, 57' 2". 

Mean distance of the Moon from the Earth, 238,840 miles. 

Velocity of light in vacuum (Newcomb), 186,326 miles per second. 
Velocity of sound in dry air at 0° centigrade, 1090 feet per second. 



(94) 



TABLE IX 

THREE-PLACE VALUES OF THE 
TRIGONOMETRIC FUNCTIONS 



Angle 


Sin 


Tan 


Sec 


Csc 


Cot 


Cos 




0° 


.000 


.000 


1. 000 


00 


00 


1. 000 


90^ 


1 


.017 


.017 


1. 000 


57299 


57290 


1.000 


89 


2 


035 


035 


1. 001 


28.654 


28.636 


999 


88 


3 


.052 


.052 


1. 001 


19.107 


19.081 


999 


87 


4 


.070 


.070 


1.002 


14336 


14301 


998 


86 


5 


.087 


.087 


I 004 


11.474 


11.430 


996 


85 


6 


105 


• 105 


1.006 


9567 


9514 


995 


84 


7 


.122 


.123 


1.008 


8.206 


8.144 


993 


83 


8 


139 


.141 


I.OIO 


7^i85 


7 "5 


9g2 


82 


9 


.156 


.158 


1. 012 


6.392 


6314 


.988 


81 


10 


174 


.176 


i.ois 


5759 


5671 


•985 


80 


11 


191 


.194 


1.019 


5 241 


5 145 


.982 


79 


12 


.208 


213 


1.022 


4.810 


4705 


.978 


78 


13 


.225 


231 


1.026 


4445 


4331 


974 


77 


14 


.242 


.249 


1. 03 1 


4 134 


4.001 


.970 


76 


15 


259 


.268 


I 03s 


3864 


3 732 


966. 


75 


16 


.276 


.287 


1.040 


3628 


3487 


.961 


74 


17 


.292 


.306 


1.046 


3.420 


3 271 


956 


73 


18 


309 


325 


1. 051 


3236 


3.078 


951 


72 


19 


.326 


344 


1.058 


3072 


2.904 


.946 


71 


20 


342 


364 


1.064 


2.924 


2.747 


.940 


70 


21 


358 


384 


1. 071 


2.790 


2.605 


934 


69 


22 


•375 


.404 


1.079 


2.669 


2.475 


.927 


68 


23 


391 


.424 


1.086 


2.559 


2356 


.921 


67 


24 


.407 


•445 


I 095 


2.459 


2.246 


.914 


66 


25 


423 


.466 


1.103 


2.366 


2.145 


.906 


65 


26 


438 


.488 


1.113 


2.281 


2.050 


.899 


64 


27 


454 


510 


1. 122 


2.203 


I 963 


.891 


63 


28 


.469 


•532 


I 133 


2.130 


1. 88 1 


.883 


62 


29 


485 


•554 


1. 143 


2.063 


1.804 


.875 


61 


30 


.500 


•577 


I 155 


2.000 


I 732 


.866 


60 


31 


515 


.601 


1.167 


1.942 


1.664 


•857 


59 


32 


530 


.625 


1.179 


1.887 


1.600 


.848 


58 


33 


545 


.649 


1.192 


1.836 


I 540 


839 


57 


34 


559 


•675 


1.206 


1.788 


1483 


.829 


56 


35 


574 


.700 


1.221 


1743 


1.428 


.819 


55 


36 


.588 


727 


1.236 


1.701 


I 376 


.809 


54 


37 


.602 


754 


1.252 


1.662 


I 327 


799 


53 


38 


.616 


.781 


1.269 


1.624 


1.280 


.788 


52 


39 


.629 


.810 


1.287 


1589 


I 235 


•777 


51 


40 


643 


839 


1.305 


I 556 


1.192 


.766 


50 


41 


656 


.869 


I 325 


I 524 


1. 150 


•755 


49 


42 


669 


900 


I 346 


1.494 


i.iii 


•743 


48 


43 


.682 


933 


I 367 


1.466 


1.072 


•731 


47 


44 


.695 


.966 


I 390 


1.440 


1.036 


.719 


46 


45° 


.707 


1. 000 


1.414 


1.414 


1. 000 


.707 


45' 




Cos 


Cot 


Csc 


Sec 


Tan 


Sin 


Angle 



(95) 



TABLE X 



THREE-PLACE LOGARITHMS OF NUMBERS 



N 





1 2 


3 


4 


5 


6 


7 


8 


9 


1 


000 


041 


079 


114 


146 


176 


204 


230 


255 


279 


2 


301 


322 


342 


362 


380 


398 


415 


431 


447 


462 


3 


477 


491 


505 


519 


532 


544 


556 


568 


580 


591 


4 


602 


613 


623 


634 


644 


653 


663 


672 


681 


690 


5 


699 


708 


716 


724 


732 


740 


748 


756 


763 


771 


6 


778 


785 


792 


799 


806 


813 


820 


826 


833 


839 


7 


84s 


851 


857 


863 


869 


875 


881 


887 


892 


898 


8 


903 


909 


914 


919 


924 


929 


935 


940 


945 


949 


9 
10 

11 


954 


959 


964 


969 


973 


978 


982 


987 


991 


996 


000 


004 


009 


013 


017 


021 


025 


029 


033 


037 


041 


045 


049 


053 


057 


061 


065 


068 


072 


076 


12 


079 


083 


086 


090 


093 


097 


100 


104 


107 


III 


13 


114 


117 


121 


124 


127 


130 


134 


137 


140 


143 


14 


146 


149 


152 


155 


158 


i6i 


164 


167 


170 


173 


15 


176 


179 


182 


i8s 


188 


190 


193 


196 


199 


201 


16 


204 


207 


210 


212 


215 


218 


220 


223 


225 


228 


17 


230 


233 


236 


238 


241 


243 


246 


248 


250 


253 


18 


255 


258 


260 


263 


265 


267 


270 


272 


274 


277 


19 


279 


281 


283 


286 


288 


290 


292 


295 


297 


299 



(96) 



TABLE XI 

THREE-PLACE LOGARITHMS OF THE 
TRIGONOMETRIC FUNCTIONS 



Angle 


L Sin 


d 


L Tan 


c d 


L Cot 


L Cos 


d 




o° 












10.000 




90° 


1 


8.242 




8.242 




I 758 


10.000 




89 


2 


8.543 


301 

176 


8.543 


301 
176 
126 


1-457 


10.000 




88 


3 


8.719 


8.719 


1. 281 


9 999 




87 


4 


8.844 


125 


8.845 


1155 


9 999 




86 


5 


8.940 


gf. 
79 
67 

5S 
50 


8.942 


97 
80 
67 


1.058 


9998 




85 


6 


9.019 


9.022 


0.978 


9998 




84 


7 


9.086 


9.089 


0.911 


9997 


T 


83 


8 


9.144 


9.148 


59 

52 


0.852 


9996 


1 


82 


9 


9.194 


9.200 


0.800 


9995 




81 


fO 


9 240 


46 


9.246 


46 


0.754 


9 993 


2 


80 


11 


9.281 


41 


9289 


43 
38 
36 


0.711 


9.992 


I 


79 


12 


9318 


37 


9327 


0.673 


9990 


^ 


78 


13 


9352 


34 


9363 


0.637 


9989 


I 


77 


14 


9384 


32 


9397 


34 


0.603 


9987 


2 


76 


15 


9413 


29 


9.428 


31 


0.572 


9985 


2 


75 


16 


9440 


27 
26 


9458 


30 


543 


9983 


^ 


74 


17 


9.466 


9485 


27 


515 


9981 


2 


73 


18 


9.490 


24 


9512 


27 


0.488 


9.978 


3 


72 


19 


9513 


23 


9537 


25 


0.463 


9976 


2 


71 


20 


9534 


21 


9561 


24 


0439 


9 973 


3 


70 


21 


9554 


20 


9584 


23 


0.416 


9970 


3 


69 


22 


9574 


20 
18 


9.606 


2 2 


0.394 


9967 


3 


68 


23 


9592 


9.628 


-- 


0372 


9964 


3 


67 


24 


9.609 


17 


9649 


2 1 


0.351 


9.961 


3 


66 


25 


9 626 


17 
16 


9.669 


20 


0.331 


9957 


4 


65 


26 


9642 


9.688 


19 


0.312 


9954 


■5 


64 


27 


9657 


15 


9.707 


19 


0.293 


9950 


4 


63 


28 


9.672 


15 


9726 


19 

18 


0.274 


9946 


4 


62 


29 


9686 


14 


9 744 


0.256 


9942 


4 


61 


30 


9699 


13 


9.761 


17 
18 


0.239 


9938 


4 


60 


31 


9 712 


13 


9779 


0.221 


9933 


•"^ 


59 


32 


9.724 


1 2 


9.796 


17 


0.204 


9.928 


S 


58 


33 


9736 


1 2 


9813 


I 7 
16 


0.187 


9.924 


4 


57 


34 


9.748 


I 2 


9.829 


0.171 


9.919 


5 


56 


35 


9759 


1 1 


9845 


16 
16 
1 6 


0.155 


9913 





55 


36 


9.769 


1 


9.861 


139 


9 908 


() 


54 


37 


9779 


10 


9.877 


16 


0.123 


9902 




53 


38 


9.789 


10 


9893 


0.107 


9897 


5 


52 


39 


9 799 


1 


9.908 


• S 
16 


0.092 


9.891 




51 


40 


9808 


f) 


9924 




0.076 


9.884 


7 


50 


41 


9817 


'' 


9939 


15 


0.061 


9.878 




49 


42 


9826 


,s 


9954 


IS 

16 


0.046 


9871 


7 


48 


43 


9834 


8 


9970 


0.030 


9.864 


7 


47 


44 


9842 


9985 


15 


0.015 


9857 


7 


46 


45 


9.849 


7 


10.000 


15 


0.000 


9.849 


8 


40° 


L Cos 


d 


L Cot 


cd 


L Tan 


L Sin 


d 


Angle 



(97) 



A-^B-^^ 



a^ iP-^ C 









ffe<, A 






^^^ 













^ 



o^^S^i^ 








\Ttr ■' / 






^<i<'»XX^ — 



t^&*o-<>^ 



io/ur (y/l^i'^ - 





















~7T" (hi^^-*^ S ^^oLa^ 






,2 ^ .?^^- ^1-