# Full text of "Logarithmic and trigonometric tables"

## See other formats

```•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

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
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-
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

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

*OII

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
*04ii
4741

6510

*o844
5174

6943

*i277
5607

7377

*i7io

6039

7810
*2i43
6472

8244

*2576

6905

1004
1005
1006

7337

002 1661

5980

7770
2093
641 1

8202
2525
6843

8635
2957
7275

9067
3389
7706

9499
3821
8138

9932
4253
8569

♦0364
468s
9001

*0796
5116
9432

*I228
5548
9863

1007
1008
1009

1010

1011
1012
1013

003 0295
4605
8912

0043214

0726
5036
9342

"57
5467
9772

1588
5898

*0203

2019
6328
*o633

2451
6759
*io63

2882
7190
*I493

3313

7620

*I924

3744
8051
*2354

4174
8481

*2784

3644

4074

4504

4933

5363

5793

6223

6652

7082

7512

005 1805

6094

7941
2234
6523

8371
2663
6952

8800
3092
7380

9229
3521
7809

9659
3950
8238

*oo88

4379
8666

*05i7
4808
9094

*0947
5237
9523

*I376
5666
9951

1014
1015
1016

006 0380
4660
8937

0808
5088
9365

1236
5516
9792

1664
5944

*02I9

2092
6372
*o647

2521
6799
*I074

2949

7227
*i5oi

3377

7655

*I928

380s
8082
*2355

4233
8510

*2782

1017
1018
1019

1020

1021
1022
1023

007 3210

7478

008 1742

3637
7904
2168

4064
8331
2594

4490

8757
3020

4917
9184
3446

5344
9610
3872

5771
*oo37
4298

6198
♦0463
4724

6624

*o889

5150

7051

*i3i6

5576

6002

009 0257
4509
8756

6427

6853

7279

7704

8130

8556

8981

9407

9832

0683
4934
9181

1 108

5359
9605

1533

5784
*0030

1959
6208

*0454

2384

6633

*o878

2809

7058

*I303

3234

7483

*I727

3659
7907

*2I5I

4084
8332
*2575

1024
1025
1026

010 3000

7239

on 1474

3424
7662
1897

3848
8086
2320

4272
8510
2743

4696
8933
3166

5120
9357
3590

5544
9780
4013

5967

*0204

4436

6391

*o627

4859

6815

*I050
5282

1027
1028
1029

1030

1031
1032
1033

5704
9931

012 4154

6127
*0354
4576

6550
*0776
4998

6973

*ii98

5420

7396

*l62I

5842

7818
*2043
6264

8241

♦2465

6685

8664

*2887
7107

9086
^■3310
7529

9509
*3732
7951

8372

8794

9215

9637

*ooS9

*o48o

*090i

*I323

*i744

*2i65

013 2587

6797

014 1003

3008
7218
1424

3429
7639
1844

3850
8059
2264

4271
8480
2685

4692
8901
3105

5"3
9321

3525

5534
9742
3945

5955

*Ol62

4365

6376
*0583
4785

1034
1035
1036

5205

9403

015 3598

5625
9823
4017

6045
*0243
4436

6465
*o662
4855

688s

*I082

5274

7305
*i50i
5693

7725

*I920

6II2

8144
*2340
6531

8564
*2759
6950

8984

*3i78

7369

1037
1038
1039

1040

1041
1042
1043

7788

016 1974

6155

8206
2392
6573

8625
2810
6991

9044
3229
7409

9462
3647
7827

9881
4065
8245

*0300
4483
8663

*07i8
4901
9080

*"37
5319
9498

*i5S5
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

9

73 377

9.80 919

0.19 081

9 92 457

8
8

8

8

12

3

4-5

4.0
4.8
S.6
6.4
7.2

35

49

50

51

9

73 396

20
19

9.80 947
9.80 975

0.19 053

9.92 449

11

10

9

7
8

5-4
6.3
7-2
8 T

4.2
4-9
5-6
6.3

9

73 416

0.19 025

9.92 441

9

73 435

9.81 003

0.18 997

9 92 433

52

9

73 455

9.81 030

0.18 970

9 92 425

9

8

8

53

9

73 474

20

9.81 058

0.18 942

9.92 416

7

54

9

73 494

9.81 086

27
28

0.18 914

9.92 408

g

6

55

9

73 513

981 113

0.18 887

9.92 400

8

5

56

9

73 533

19

9.81 141

^8

0.18 859

9.92 392

8

4

57

9

73 552

9.81 169

0.18 831

9.92 384

g

3

58

9

73 572

9.81 196

28
28

0.18 804

9 92 376

9

8

2

59
60

9

73 591

20

9.81 224

0.18 776

9.92 367

1

9

73 611

9.81 252

0.18 748

9 92 359

L Cos

d

L Cot

Cd

LTan

L Sin

d

1

P P 1

(56)

67'

33'

f

L Sin

d

L Tan

c d L Cot

L Cos

d

P P

1

9

73 6ii

19

9.81 252

-'7

0.1

8 748

9 92 359

8

60

59

9

73 630

9.81 279

0.1

8 721

9 92 351

2

9

73 650

20

9 81 307

's ""'

8693

9 92 343

8

58

3

9

73 669

ly

9 81 335

-■^ 0.1
-7

8665

9 92 335

8

57

4

9

73689

9.81 362

8638

9 92 326

9

56

5

9

73 708

ly

9 81 390

s °-'

8 610

9 92 318

8

55

6

p

73 727

20

9.81 418

-'^ 0.]

-'7

-'^ 0.1

8582

9 92 310

8

54

7

9

73 747

9.81 445

8555

9 92 302

53

8

9

73 766

19

9-8i 473

8527

9.92 293

9

52

9

iO
11

^

73 785

10

20

19

9.81 500

27
2&

28

0.1

8 500

9.92 285

8
8

8

51
50

49

28 27

9

73 805

9.81 528

0.1

8472

9.92 277

9

73 824

9 81 556

0.1

8 444

9 92 269

I

2.8 2.7

5-6 S-4
8.4 8.1

12

9

73 843

19

9 81 583

-^ 0.

27
' 0.1
, 0.

8417

9.92 260

9

48

3

13

9

73 863

20

9.81 611

8389

9 92 252

8

47

4

II. 2 10.8

14

9

73 882

^ 9

9.81 638

8362

9.92 244

46

5
6

140 13. s
16.8 16.2

15

9

73 901

19

9.81 666

8334

9 92 235

9
8
3

45

7

19.6 18.9

16

9

73 921

20
19

9.81 693

28 i °-'

8307

9.92 227

44

8

22.4 21.6

17

9

73 940

9.81 721

,, °-

8279

9.92 219

8

43

g

252 24.3

18

9

73 959

19

9.81 748

27
28

-'7

2S

0.1

8 252

9.92 211

42

19
20

21

9^

73 978

19
19

20

9.81 776

0.

8 224

9.92 202

9

8

8

41
40

39

9

73 997 1

9.81 803

0.

8 197

9.92 194

9

74 017

9 81 831

0.

8 169

9.92 186

22

9

74 036

19

9.81 858

's °-

8 142

9.92 177

9

8
8

38

23

9

74 055

19
19

9.81 886

20
27

0.

8 114

9.92 169

37

24

9

74 074

9.81 913

28

0.1

8 087

9.92 161

36

25

9

74 093

19

9.81 941

0.

8 059

9 92 152

9

8
8

35

26

9

74 113

20

9.81 968

-7
28

0.1

8 032

9.92 144

34

27

9

74 132 1

19

9.81 996

0.

8 004

9.92 136

33

30 19 18

28

9

74 151 j

19

9.82 023

27
28
27
28

0.1

7 977

9.92 127

9

8
8

9

32

I

2.0 1.9 1.5

29
30

9

74 170

19
19
19

9.82 051

0.1

7 949

9.92 119

31
30

4
5
6

40 3-8 3-6
6.0 5.7 5.4
8.0 7.6 7.2
lo.o 9.5 9.0
12.0 II. 4 10.8

9

74 189

9.82 078

0.1

7 922

9.92 III

31

9

74 208

9.82 106

,-, °

7 894

9.92 102

8
8
9

29

32

9

74 227

19

9 82 133

8 °-^

7867

9.92 094

28

I

14.0 13.3 12.6

33

9

74 246

19
19

9.82 161

7839

9.92 086

27

8
9

16.0 15.2 14.4
18.0 17. 1 16.2

34

9

74 265

9.82 188

,-, 0-'

7 812

9.92 077

8

26

35

9

74 284

19

9.82 215

i!;:'

7785

9.92 069

25

36

9

74 303

19
19

9 82 243

7 757

9.92 060

9
8

24

37

9

74 322

19

9.82 270

"^7 °-

7 730

9.92 052

^

23

38

9

74 341

9.82 298

7 702

9.92 044

22

39
40

41

9

74 360

19
19

19

19

9 82 325

27

27

28

0.

7 675

9 92 035

9

8

9

8

21
20

19

9^

74 379

9 82 352

0.

7648

9.92 027

9

74 398

9.82 380

0.

7 620

9.92 018

42

9

74 417

9.82 407

28 °-

7 593

9.92 010

8

18

43

9

74 436

• 9
19

9 82 435

7 565

9 92 002

9

17

9 8

44

9

74 455

9.82 462

-7 °-

[7538

9 91 993

8

16

I

0.9 0.8

45

9

74 474

•9

9.82 489

0.

7 5"

9.91 985

9

8

15

2

1.8 1.6

46

9

74 493

1 9
I (J

9.82 517

[7483

9 91 976

14

3

2.7 2.4

47
48

9
9

74 512
74 531

19
I 8

9.82 544
9.82 571

27 "*•

28 °

[7 456
[7 429

9.91 968
9 91 959

9

s

13
12

4

s

6

3-6 3-2
45 40
5-4 4-8

49
50

51

9

74 549

19
19

9.82 599

27
27

0.

17 401

9 91 951

9

8

9

8

11

10

9

7
8
9

6.3 S.6
7.2 6.4

; 8.1 7.2

9

74568

9.82 626

0.

[7 374

9.91 942

9

74 587

9 82 653

0.

[7 347

9 91 934

52

9

74 606

1 9

9.82 681

27 ' °-
27 °-

17 319

9.91 925

8

53

9

74 625

1 9
ig

9.82 708

17 292

9 91 917

9

7

54

9

74 644

9 82 735

,7 0.

17 265

9.91 908

,*-;

6

55

9

74 662

''

9.82 762

j^:

17238

9.91 900

9

s

5

56

9

74 681

I (;

9.82 790

17 210

9.91 891

4

57

9

74 700

9.82 817

,7 °-

17 183

9 91 883

3

58

9

74 719

I 9

9.82 844

«■

17 156

9.91 874

9
8

2

59
60

9

74 737

19

9.82 871

27
28

0.

[7 129

9.91 866

9

1

9

74 756

9 82 899

0.

17 lOI

9 91 857

L Cos

d

L Cot

cd L

Tan

L Sin

d

1

P P

5(

6°

,57

)

^am

34-

1

L Sin

d

L Tan

cd

L Cot

L Cos

d

P P

o

1

9 74 756

19

9.82 899
9.82 926

27

0.]

7 lOI

9.91

857

8

60

59

9 74 775

0.]

7 074

9.91

849

2

9-74 794

9 82 953

0.]

7 047

991

840

58

3

9.74 812

19

9.82 980

27
28

0.3

7 020

9.91

832

57

4

9 74 831

9.83 008

0.1

6992

991

823

56

R

9 74 850

IQ

9 83 035

27

0.]

6965

Q.Ql

815

8

55

6

9.74 868

19

9.83 062

27
27

28

0.]

6938

9.9]

80b

9

8

54

7

9 74 887

9.83 089

0.1

6 911

991

798

53

8

9 74 906

19
18
19

18

9 83 "7

0.1

6883

991

78Q

9

52

9

9 74 924

9.83 144

27
27

27

0.1

6856

9.91

781

9
9

51

10

9 74 943

9.83 171

0.]

6 829

9.91

772

50

38 27 26

11

9 74 961

9 83 198

0.1

6 802

Q.Ql

763

49

2

5-6 5-4 5-2

12

9 74 980

9 83 225

27

0.]

6 775

Q.Q]

755

48

3

8.4 8.1 7-8

13

9 74 999

19
18

9 83 252

27
28

0.]

6748

9.9]

746

y
8

47

4

II. 2 10.8 10.4
14.0 13.5 13.0

14

9 75 017

9.83 280

0.]

6 720

g.Qi

738

46

6

16.8 16.2 15.6

15

9-75 036

19

9 83 307

27

0.1

6 693

Q.Ql

72Q

y

45

7

19.6 18.9 18.2

16

9-75 054

9 83 334

27

0.]

6 666

Q.Q]

720

y
8

44

8

22.4 21.6 20.8

17

9 75 073

18

9 83 361

0.1

6 639

Q.Ql

712

43

18

9-75 091

9 83 388

27

0.1

6 612

Q.Q]

703

9
8
9

9

8

42

19
20

21

9 75 "0

19

18

19

18

9 83 415
9.83 442

27
27

28

0.1

6585

9.9]

695

41
40
39

9.75 128

0.1

6558

9.91

686

9-75 147

9.83 470

0.

[6 530

Q.Ql

677

22

9 75 165

9 83 497

27

0.1

6 503

Q.Ql

669

38

23

9-75 184

18

983 524

27
27

0.1

[6 476

9.91

660

9

37

24

9 75 202

9 83 551

0.1

6 449

Q.Ql

651

8

36

25

9 75 221

18
19

18
18
19

tS

9 83 578

■'i

0.1

6 422

Q.Ql

643

35

26

9 75 239

9.83 605

27
27

0.

6 395

9.91

634

9

Q

34

19 18

27

9 75 258

9 83 632

0.1

6368

QQ

625

■'
8

33

28

9 75 276

9 83 659

27

0.

6 341

QQ

617

32

I

1.9 1.5
3-8 3.6
5-7 5-4
7.6 7.2
9-5 90

29
30

9 75 294

9.83 686

27
27

27

0.

6 314

99

608

9
9

8

31
30

3
4

9 75 313

9 83 713

0.

[6287

9.91

599

31

9 75 331

9.83 740

28

0.

[6 260

Q9

[ .59 1

9
9

8

29

6

1 1. 4 10.8

32

9 75 350

19

18
t8

9 83 768

0.

[6 232

QQ

582

28

7
8
9

13-3 12-6

33

9 75 368

9 83 795

0.

t6 205

99

[ 573

27

17. 1 16.2

34

9 75 386

9.83 822

0.

[6 178

9 9

: 565

9
9
Q

26

35

9 75 405

I S

9 83 849

0.

[6 151

99

c 556

25

36

9 75 423

iS

983 876

27

0.

[6 124

99

547

24

37

9 75 441

18

9 83 903

0.

[6 097

99

1538

8

23

38

9-75 459

983 930

0.

[6 070

9 9

<■ 530

9
9

8

9
9

9

22

39
40

41

9 75 478

18
18

9 83 957
9.83 984

27
27

0.

[6 043

9 9

[ 521

21
20
19

9 75 496

0.

[6 016

99

512

9 75 514

9.84 on

0.

[5989

99

I 504

42

9 75 533

18

9.84 038

0.

[5 962

99

495

18

43

9 75 551

t8

9.84 065

27

0.

t5 935

99

486

17

» R

44

9 75 569

18

9.84 092

27

0.

[5908

99

t 477

S

16

0.9 0.8
1.8 1.6

45

9 75 587

18

9.84 119

0.

[5881

99

[ 469

9
9

15

2

46

9 75 605

19

9.84 146

27

0.

15854

99

[ 460

14

3

2.7 2.4

47

9 75 624

18

9 84 173

0.

[5827

99

[ 451

9

13

4
5
6

3-6 3-2
45 40
5.4 4.8

48

9 75 642

18

9.84 200

27
27

26

27
27
27

0.

[5 800

99

[ 442

12

49
50
51

9 75 660

18
18
18

9.84 227

0.

[5 773

9 9

[ 433

8

9
9

11

10

9

7
8
9

6.3 5-6
7.2 6.4
8.1 7-2

9 75 678

9.84 254

0.

15 746

9 9

1 425

9 75 696

9.84 280

0.

[5 720

99

[ 416

52

9 75 714

19
tS

9.84 307

0.

15 693

99

[ 407

8

53

9 75 733

984 334

0.

[5666

99

t 398

9

V

54

9 75 751

18

9 84 361

27
27
27

0.

t5 639

9 9

I 389

8

6

55

9 75 769

18

984 388

0.

15 612

9 9

[381

9

5

56

9-75 787

tS

9.84 415

0.

15585

99

[ 372

9

4

57

9-75 805

18

9.84 442

27
27
27

0.

[5 558

9 9

[ 363

3

58

9-75 823

18

9.84 469

0.

15 531

9 9

[ 354

2

59
60

9 75 841

18

9.84 496

0.

15 504

99

t 345

9

1

9 75 859

9 84 523

0.

15 477

99

[ 336

L Cos

d

L Cot c d

L Tan

L

Sin

d

1

P P

(S8)

56"

36

/

L Sin

d

L Tan

cd

L Cot

L Cos d

1

P P

g 75 859

iS

9 84 523

27

0.15 477

9 91 336 J,

60

1

9 75 877

9 84 550

0.15 450

9.91 328

59

2

9 75 895

9.84 576

0.15 424

9,91 319 ^

58

3

9 75 913

iS

9.84 603

-'7

0.15 397

9-91 310 1^

57

4

9 75 931

9.84 630

0.15 370

9.91 301

56

5

9 75 949

1 8

9 84 657 -7

0.15 343

9.91 292 ^

bb

6

9 75 967

iS

9.84 684 -'

0.15 316

9 91 283 '^

b4

7

9 75 985

9.84 7"

"

0.15 289

9 91 274
9.91 266 ^

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

7 64937

10.00000

40

30

7.20 409

7.20409

10.00000

30

30

7.65406

7.65 406

10.00000

30

40

7 21 705

7.21 705

10.00000

20

40

7 65870

765871

10.00000

20

50

7.22 964

7.22 964

10.00000

10

50

7 66330

7 66330

10.00000

10

6 o

7.24188

7.24188

10.00000

54

16

7.66 784

766785

10.00000

44

lO

725378

725378

10.00000

50

10

767235

7 67235

10.00000

■^o

20

7 26 536

726536

10 00000

40

20

7.67 680

7.67 680

10.00000

40

30

7 27 664

7.27664

10.00000

30

30

7.68 121

7.68 121

10.00000

30

40

7 28 763

7.28 764

10 00000

20

40

7 68 557

7.68 558

9 99999

20

50

729836

729836

10.00000

10

50

7 68989

7.68 990

9,99999

10

7

7.30 882

7.30882

10.00000

5.3

17

7.69417

7.69418

9 99 999

43

10

7 31 904

7 31 904

10.00000

50

10

7 69841

7.69842

9 99 999

50

20

7 32 903

732903

10 00000

40

20

7.70 261

7 70 261

9 99 999

40

30

7 33 879

733879

10 00000

30

30

7.70676

7.70677

999999

30

40

734833

734833

10 00000

20

40

7.71 088

7.71 088

9 99 999

20

50

7 35 767

7 35 767

10.00000

10

50

7.71 496

7.71 496

999999

10

8

7 36 682

7 36682

10.00000

52

18

7.71 900

7.71 900

999999

42

10

7 37 577

7 37 577

10.00000

50

10

7 72 300

7.72301

999999

50

20

7 38 454

738455

10.00000

40

20

7.72697

7.72 697

9 99 999

40

30

7 39314

739315

10.00000

30

30

7 73 090

7 73 090

9 99 999

30

40

7.40 158

7.40158

10.00000

20

40

7-73 479

7 73480

9 99 999

20

50

7 40 985

740985

10 00000

10

50

773865

7.73866

9 99 999

10

9

7.41 797

7.41 797

10.00000

51

19

7.74248

7.74248

999999

41

10

7 42 594

7 42 594

10.00000

50

10

7.74627

7.74628

9 99999

50

20

7 43 376

7 43376

10 00000

40

20

7 75003

7.75004

9 99 999

40

30

7 44 145

744145

10 00000

30

30

7 75376

7 75 377

9 99 999

30

40

7.44900

7.44900

10.00000

20

40

7 75 745

7 75 746

9 99 999

20

50

7 45 643

7 45 643

10.00000

10

50

7.76 112

7.76 113

9 99 999

10

10

746 373

7.46373

10.00000

50

20

7.76475

7.76476

9.99 999

40

t II

L Cos

L Cot

L Sin

II 1

1 n

L Cos

L Cot

L Sin

II 1

(70)

89

t II

L Sin

L Tan

L Cos

II 1

t n

L Sin

L Tan

L Cos

n 1

20

7 76475

7.76476

9 99 999

4()

30

7 94 084

7 94 086

9 99 998

30

10

7.76836

7.76837

9 99 999

50

10

794325

7 94 326

9 99998

50

20

7-77 193

7 77 194

9 99 999

40

20

7 94 564

7 94 566

999998

40

30

7-77 548

7.77 549

9 99 999

30

30

7.94 802

7.94804

999998

30

40

7 77 899

7 77 900

9 99 999

20

40

795039

7 95 040

999998

20

50

7.78 248

7.78 249

9 99 999

10

50

7 95 274

7 95 276

9 99 998

10

21

7 78 594

778 595

9 99 999

39

31

7 95 508

7 95 510

9 99 998

29

10

7 78 938

778938

9 99 999

50

10

7 95 741

7 95 743

999998

50

20

7-79 278

7 79 279

9 99 999

40

20

7 95 973

7 95 974

9 99 998

40

30

7.79 616

7.79617

9 99 999

30

30

7 96 203

7 96 205

9 99 998

30

40

779952

7 79 952

9 99 999

20

40

7.96432

7 96434

999998

20

50

7.80 284

7.80 285

9.99999

10

50

7 96 660

7 96 662

999998

10

22

7 80 615

7 80 615

9 99 999

38

32

7 96 887

7 96889

999998

28

10

7.80 942

7.80 943

9 99 999

50

10

7 97 113

7 97 "4

999998

50

20

7.81 268

7.81 269

9 99 999

40

20

7-97 337

7 97 339

9 99 998

40

30

7.8i 591

7.81 591

9 99 999

30

30

7 97 560

7 97 562

999998

30

40

7.81 911

7.81 912

9 99 999

20

40

7 97 782

7 97 784

999998

20

50

7.82 229

7 82 230

9 99 999

10

50

7 98 003

7.98 005

9 99 998

10

23 o

782 545

7 82 546

9 99 999

37

33

7 98 223

7.98 225

9 99 998

27

10

7 82 859

7.82 860

9 99 999

50

10

7.98 442

7.98 444

9 99 998

50

20

7 83 170

7 83 171

9 99 999

40

20

7.98 660

7.98662

9 99 998

40

30

7 83 479

7.83 480

9 99 999

30

30

7.98 876

798878

999998

30

40

7.83 786

7 83 787

9 99 999

20

40

7.99092

7 99 094

999998

20

50

7.84 091

7.84 092

9 99 999

10

50

7.99306

7 99 308

999998

10

24

7 84 393

784394

9 99 999

3(>

34

7 99 520

7 99 522

999998

20

10

7.84694

7.84 695

9 99 999

50

10

7 99 732

7 99 734

9 99 998

50

20

7.84992

7 84 993

9 99 999

40

20

7 99 943

799946

999998

40

30

7.85 289

7.85 290

9 99 999

30

30

8.00 154

8.00 156

9 99 998

30

40

7 85 583

7.85 584

9 99 999

20

40

8.00 363

8.00 365

9 99 998

20

50

7.85 876

7.85877

9 99 999

10

50

8.00 571

8.00 574

9 99 998

10

25

7.86 166

7.86 167

9 99 999

35

35

8.00 779

8.00 781

9 99 998

25

10

7.86 455

786456

9 99 999

50

10

8.00 985

8.00 987

9 99 998

50

20

7 86 741

7 86 743

9 99 999

40

20

8.01 190

8.01 193

999998

40

30

7.87 026

7.87027

9 99 999

30

30

8 01 395

8.01 397

999998

30

40

7.87 309

7.87310

9 99 999

20

40

8 01 598

8.01 600

999998

20

50

7.87 590

7 87 591

9 99 999

10

50

8.01 801

8.01 803

9 99 998

10

26

7.87 870

787871

9 99 999

34

36

8.02 002

8.02 004

9 99 998

24

10

7.88 147

7.88 148

9 99 999

50

10

8.02 203

8.02 205

9 99 998

50

20

7.88 423

7.88 424

9 99 999

40

20

8.02 402

8.02 405

9 99 998

40

30

7.88 697

7.88 698

9 99 999

30

30

8 02 601

8 02 604

9 99 998

30

40

7.88 969

788970

9 99 999

20

40

8 02 799

8 02 801

9 99998

20

50

7.89 240-

7.89 241

9 99 999

10

50

8.02 996

8.02 998

9 99 998

10

27

7.89 509

7.89510

9 99 999

33

37

8 03 192

8 03 194

9 99 997

23

10

7.89 776

7.89 777

9 99 999

50

10

8 03 387

8.03 390

9 99 997

50

20

7.90 041

7.90 043

9 99 999

40

20

8 03 581

8.03 584

9 99 997

40

30

7 90 305

7.90 307

9 99 999

30

30

8 03 775

8.03 777

9 99 997

30

40

7.90 568

7 90 569

9 99 999

20

40

8.03 967

8.03 970

9 99 997

20

50

7.90 829

7.90 830

9 99 999

10

50

8.04 159

8.04 162

9 99 997

10

28

7.91 088

7.91 089

9 99 999

32

38

8.04 350

8.04 353

9 99 997

22

10

7 91 346

7 91 347

9 99 999

50

10

8.04 540

8.04 543

9 99 997

50

20

7.91 602

7 91 603

9 99 999

40

20

8 04 729

8.04 732

9 99 997

40

30

7 91 857

7.91 858

9 99 999

30

30

8.04 918

8.04 921

990997

30

40

7.92 no

7.92 III

9 99 998

20

40

8 05 105

8 05 108

9 99 997

20

50

7 92 362

7 92 363

9 99 998

10

50

8.05 292

8.05 295

9 99 997

10

29

7 92 612

7 92 613

9 99 998

31

39

8 05 478

8 05 481

9 99 997

21

10

7 92 861

7 92 862

9 99 998

50

10

8.05 663

8.05 666

9 99 997

50

20

7 93 108

7 93 "0

9 99 998

40

20

8 05 848

805851

9 99 997

40

30

7 93 354

7 93 356

9 99 998

30

30

8.06 031

8.06 034

9 99 997

30

40

7 93 599

7.93 601

9 99 998

20

40

8 06 214

8.06 217

9 99 997

20

50

7 93 842

7 93 844

9 99 998

10

50

8.06 396

8.06 399

9 99 997

10

30

7 94 084

7 94 086

9 99 998

30

40

8.06 578

8.06 581

9 99 997

20

/ II

L Cos

L Cot

L Sin

II 1

' If

L Cos

L Cot

L Sin

II 1

89

(71)

"

f rr

L Sin

L Tan 1 L Cos

,, ■

L Sin

L Tan

LCos

" r

40

8.06 578

8.06 581

999997

30

50

8.16 268

8.16273

9 99 995

10

lO

8.06 758

8.06 761

999997

50

10

8.16413

8.16 417

9 99 995

50

20

8.06 938

8.06 941

999997

40

20

8.16 557

8.16 561

9 99 995

40

30

8.07 117

8.07 120

999997

30

30

8.16 700

8.16 705

9 99 995

30

40

8 07 295

8.07 299

9 99 997

20

40

8.16 843

8.16 848

9 99 995

20

50

8-07 473

8.07 476

9.99997

10

50

8.16986

8.16991

9 99 995

10

41

8.07 650

8.07 653

9 99 997

19

51

8.17 128

8.17 133

9 99 995

9

10

8,07 826

8.07 829

9 99 997

50

10

8.17 270

8.17 275

9 99 995

50

20

8.08 002

8.08 005

999997

40

20

8.17 411

8 17 416

9 99 995

40

30

8.08 176

8.08 180

9 99 997

30

30

8.17552

8.17557

9 99 995

30

40

8.08 350

8.08 354

999997

20

40

8.17 692

8.17697

9 99 995

20

50

8.08 524

8.08 527

9.99997

10

50

8.17 832

8.17 837

9 99 995

10

42

8.08 696

8.08 700

9 99 997

18

52

8.17971

8.17976

9 99 995

8

10

8.06 868

8.08 872

9 99 997

50

10

8.18 110

8.18 115

9 99 995

50

20

8.09 040

8.09 043

9 99 997

40

20

8.18 249

8.18254

9 99 995

40

30

8.09 210

8.09 214

9 99 997

30

30

8.18387

8.18392

9 99 995

30

40

8.09 380

8.09 384

9 99 997

20

40

8.18 524

8.18530

9 99 995

20

50

8.09 550

8.09 553

9 99 997

10

50

8.18 662

8.18 667

9 99 995

10

43

8.09 718

8.09 722

9 99 997

17

53

8.18 798

8.18804

9 99 995

7

10

8.09 886

8.09 890

9 99 997

50

10

8.18935

8.18 940

9 99 995

50

20

8.10 054

8.10 057

9 99 997

40

20

8.19 071

8.19 076

9 99 995

40

30

8.10 220

8.10 224

9 99 997

30

30

8.19 206

8.19 212

9 99 995

30

40

8.10 386

8.10 390

9 99 997

20

40

8.19 341

8.19 347

99 9 995

20

50

8.10 552

8.10 555

9.99996

10

50

8.19 476

8.19481

9 99 995

10

44

8.10 717

8.10 720

9 99 996

16

54

8.19 610

8.19 616

9 99 905

6

10

8.10 881

8.10 8S4

9 99 996

50

10

8.19744

8.19 749

9 99 995

50

20

8.1 1 044

8.11 048

9 99 996

40

20

8.19 877

8.19 883

9 99 995

40

30

8.11 207

8.11 211

9 99 996

30

30

8.20 010

8.20 016

9 99 995

30

40

8.11 370

8 -I I 373

9 99 996

20

40

8.20 143

8.20 149

9 99 995

20

50

8.11 531

8.11 535

9 99 996

10

50

8.20 275

8.20 281

9 99 994

10

45

8. 1 1 693

8. 1 1 696

9 99 996

15

55

8.20 407

8.20 413

9 99 994

5

10

8.1 1 853

8.11 857

9 99 996

50

10

8.20 538

8.20 544

9 99 994

50

20

8.12 013

8.12 017

9 99 996

40

20

8.20 669

8.20 675

9 99 994

40

30

8.12 172

8.12 176

9.99996

30

30

8.20 800

8.20 806

9 99 994

30

40

8.12 331

8.12 335

9.99996

20

40

8.20 930

8.20 936

9 99 994

20

50

8.12 489

8.12493

9 99 996

10

50

8.21 060

8.21 066

9 99 994

10

4«

8.12 647

8.12 651

9 99 996

14

56

8.21 189

8.21 195

9 99 994

4

10

8.12 804

8.12 808

9 99 996

50

10

8.21 319

8.21 324

9 99 994

50

20

8.12 961

8.12 965

9 99 996

40

20

8.21 447

8.21 453

9 99 994

40

30

8.13 117

8.13 121

9 99 996

30

30

8.21 576

8.21 581

9 99 994

30

40

• 13 272

8.13 276

9 99 996

20

40

8.21 703

8.21 709

9 99 994

20

50

8.13427

8.13431

9.99996

ID

50

8.21 831

8.21 837

9 99 994

10

47

8.13 581

8.13 585

9 99 996

13

57

8.21 958

8.21 964

9 99 994

3

10

8.13 735

8.13 739

9 99 996

50

10

8.22 085

8.22 091

9 99 994

50

20

8.13 888

8.13 892

9 99 996

40

20

8.22 211

8.22 217

9 99 994

40

30

8.14 041

8.14 045

9 99 996

30

30

8.22 337

8.22 343

9 99 994

30

40

8. 14 193

8.14 197

9 99 996

20

40

8.22 463

8.22 469

9 99 994

20

50

8.14 344

8.14 348

9 99 996

10

50

8.22 588

8.22 595

9 99 994

10

48

8.14 495

8.14 500

9 99 996

12

58

8.22 713

8.22 720

9 99 994

2

10

6.14 646

8.14 650

9 99 996

50

10

8.22 838

8.22 844

9 99 994

50

20

8.14 796

8. 14 800

9 99 996

40

20

8.22 962

8.22 968

9 99 994

40

30

B.14 945

8.14 950

9 99 996

30

30

8.23 086

8.23 092

9 99 994

30

40

8.15 094

8.15 099

9 99 996

20

40

8.23 210

8.23 216

9 99 994

20

50

B.I 5 243

8.15 247

9 99 996

10

50

8.23 333

8.23 339

9 99 994

10

4»

B.15 391

8 15 395

9.99996

11

59

8.23 456

8.23 462

999994

1

ID

8.15 53B

815543

9.99996

50

10

8.23 578

8.23 585

9 99 994

50

20

8.15 685

815 690

9.99996

40

20

8.23 700

8.23 707

999904

40

30

8.15 832

8. 15 836

9 99 996

30

30

8.23 822

8.23 829

9 99 993

30

40

B.1597B

8. 15 982

9 99 995

20

40

8.23 944

8.23 950

9 99 993

20

50

8. 16 123

8.16 128

9 99 995

10

50

8.24 065

8.24 071

9 99 993

10

50

B.1626B

8.16273

9 99 995

10

60

8.24 186

8.24 192

9 99 993

1 n

L COE

L Cot

L Sin

n f

' II

L Cos

L Cot

L Sin

II 1

89

/ / /

L S'n

L Ta"

!- C:5

- ^ ■

- -a- _ C: =

8 24 186

8 24 192

9 99 993

iit> 10 j 8 30 879

- 99999:

."jtj

lO

8 24 306

8 24313

9 99 993

5

■j 10

830983

9S999I

SO

20

8 24 426

8 24 433

9 99 993

i

20

8.31086

999991

40

30

824546

8 24 553

99995;

30

8^1 18S

999991

30

40

824665

8 24 672

9 99 95-

:

40

8.31 391

999991

20

50

8 24 785

i 8.24 791

9 99 993

J 50 : 8.31 393

999991

10

1

8 24 903

3 24 910

9 99 993

-J

5f* 11 8 31 49;

999991

49

10

8.25022 825029 9 99»53

;

10 831 59-

999 991

~j

20

825 140 8 25 147 9 99 95-

.:

20 , 8.31 699

999991

4^

30

825258 825265 9 99 95:-

30

8.31 800

53: ::5 999991

30

40

825375 825382 99995;

:

40

8.31 901

831 9" 999991

2C

50

8.25 493 1 8 25 500 9 99 993

50

8.32 002

832 012

999991

10

2

8.25 609 8.25 616 9 99 993

oS 12

8.32 103

8.33 113

999990

48

10

8 25 726 8 25 733 9 99 993

5<:

10

8.32 203

8.32 313

9^9 99"

so

20

8 35 842 8 25 849 9 99 993

4:

20

8-3i 303

8.33313

949 99*

40

30

8 25 958 8 25 965 9 99 993

3C

30

8.32 403

8.32413

949990

30

40

8 26 074 [ 8 26 081 9 99 993

2C

40

8 32 503

8^513

949990

30

50

8.26 189

826196 9 99 993

IC

50

8.32 602

8^33613

9-99 990

10

3

8.26304

8.26312 9 99 993

57 13

8-32 702

8>J2 711

9-99 990

47

10

8.26 419

8.26426 9 99 993

5C

10

8.33 801

8.33 811

949990

50

20

8 26 533 i 8 26 541 j 9 99 993

40

20

8.32899

832909

999990

40

30

8.26 648 8.26 655 1 9 99 993

30

30

832998

8.33 008

999990

30

40

8 26 761 8 26 769 999993

20

40

833096

8.33 106

999990

20

50

8.26 875 1 8 26 882 I 9 99 993

10

50

8.33 193

803205

999990

10

4

8.26 988 1 8 26 996 1 9 99 992

.5*5 14

8 33 292

803302

999990

46

10

8.27 loi ] 827 109 1 9 99 992

50

10

8 33 390

8.33400

999990

50

20

8.27 214 8 27 221 9 99 992

40

20

833488

8^498

999990

40

30

827326 i 827334 ! 999992

30

;:

3 33 585

8.33595

999990

30

40

827438 827446

999992

20

:.:■

8 33 6*2

8^692

999990

20

50

8-27 550

8.27 558

999992

10

50

8.33 779

8.33789

999990

10

5

8.27 661

827669

999992

55 15

8.33 875

8.33886

999990

45

10

8.27 773

8 27 780

999992

50

10

8-33 972

8.33982

999990

50

20

8.27883

8.27891

999992

40

20

8.34068

8.34078

999990

40

30

827994

8 28002

999992

30

30

8.34164

8.34 174

999990

30

40

8.28 104

8 28 112

999992

20

40

8.34260

8.34270

999 9*9

20

50

8.28 215

8.28 223

999992

10

50

8 34 355

8^366

9 99 9»9

10

6

8.28 324

8.28 332

999992

54 16

8-34 450

8.34461

999 9*9

44

10

8.28 434

8.28442

999992

50

10

8.34546

8.34556

9 99 9^

50

20

8.28 543

828551

999992

40

20

8.34640

8.34651

999989

40

30

8 28 652

828660

999992

30

30

8.34 735

8.34746

999989

30

40

8.28 761

8 28 769

999992

20

40

834830

8.34840

999989

20

50

828869

8.28 877

999992

10

50 834924

8>J4 93S

999 9S9

10

7

8.28977

8.28 986

999992

5;3 1;

8.35 018

8.35029

999989

43

10

8.29 085

8.29 094 : 9 99 992

50

10

8.35 "2

835123

999989

50

20

8.29 193

8.29201 999992

40

20

8.35 206

8.35 217

999989

40

30

8.29 300

8.29 309 999992

30

30

835299

835 310

999 9*9

30

40

8.29 407

8 29 416

999992

20

40

8.35 392

835 403

999989

20

50

8.29514

8.29 523

999992

10

50

835485

835497

999 9*9

10

8

8.29 621

8.29 629

999992

52 18

835 578

835590

9999S9

42

10

8 29 727

8.29 736

999991

50

10

835 671

835682

999989

50

20

8 29 833

8 29 842 1 9 99 991

40

20

835764

835 775

999989

40

30

8 29 939

8 29947 1 999991

30

30

835 856

835867

999989

30

40

830044

8 30 053 999991

20

40

835948

8.35 959 1

999589

20

50

8 30 150

8 30 158

999991

10

50

8.36 040

836 051 :

999989

10

9

8 30 255

8-30 263

999991

51 19

8.36 131

8 36 143 '

999989

41

10

8 30 359

8 30 368

999991

50

10

8.36 223

8 36 235

999988

50

20

8 30 464

8 30 473

999991

40

20

836314

836326

959988

40

30

8 30 568

8 30 577

999991

30

30

8 36 405

836417

999988

30

40

8.30 672

830681

999991

20

40

8 36 496

8.36 508

999988

20

50

8 30 776

8 30 785

999991

10

50

836 587

836599

999988

10

10

8 30 879

8.30888

999991

5<> 20

836678

836689

999988

4i^

' n

L Cos

L Cot

L Sin

»

1 1
L Cos j L Cot L Sin 1

88

1

1 II

L Sin

L Tan

L Cos

/' ;

1 II

L Sin

L Tan

L Cos

II 1

20

8.36 678

8.36 689

9 99 988

40

30

8.41 792

8.41 807

999985

30

10

8.36 768

8.36 780

9 99 988

50

10

8.41 872

8.41 887

9 99 985

50

20

8.36 858

8.36 870

9 99 988

40

20

8.41 952

8.41 967

999985

40

30

8.36948

8.36 960

9 99 988

30

30

8.42 032

8.42 048

9 99 985

30

40

8.37038

8.37050

9 99 988

20

40

8.42 112

8.42 127

9 99 985

20

50

8.37 128

8.37 140

9 99 988

10

50

8.42 192

8.42 207

9 99 98s

10

21

8.37217

8.37 229

9 99 988

39

31

8.42 272

8.42 287

9 99 985

29

10

8.37306

8.37318

9 99 988

50

10

8.42 351

8.42 366

999985

50

20

8.37395

8.37 408

9 99 988

40

20

8.42 430

8.42 446

9 99 985

40

30

8.37 484

8.37 497

9 99 988

30

30

8.42 510

8.42 525

9 99 985

30

40

8.37 573

8.37 585

9 99 988

20

40

8.42 589

8.42 406

9 99 985

20

50

8.37 662

8.37 674

9 99 988

10

50

8.42 667

8.42 683

9 99 985

10

22

8.37 750

8.37 762

9 99 988

38

32

8.42 746

8.42 762

9 99 984

28

10

8.37838

8.37 850

999988

50

10

8.42 825

8.42 840

9 99 984

50

20

8.37926

8.37 938

9 99 988

40

20

8.42 903

8.42 919

9 99 984

40

30

8.38014

8.38026

9 99 987

30

30

8.42 982

8.42 997

9 99 984

30

40

8.38 lOI

8.38 114

9 99 987

20

40

8.43 060

8.43 075

9 99 984

20

50

8.38 189

8.38 202

9 99 987

10

50

8.43 138

8.43 154

9 99 984

10

23

8.38 276

8.38 289

9 99 987

37

33

8.43 216

8.43 232

9.99984

27

10

8.38 363

8.38 376

9 99 987

50

10

8.43 293

8.43 309

9 99 984

50

20

8.38450

8.38 463

9 99 987

40

20

8.43 371

8.43 387

9 99 984

40

30

8.38 537

8.38 550

9 99 987

30

30

8.43 448

8.43 464

9 99 984

30

40

8.38 624

8.38 636

9 99 987

20

40

8.43 526

8.43 542

9 99 984

20

50

8.38710

8.38 723

9 99 987

10

50

8.43 603

8.43 619

9 99 984

10

24

8.38 796

8.38 809

9 99 987

36

34

8.43 680

8.43 696

9 99 984

26

10

8.38 882

8.38 895

9 99 987

50

10

8.43 757

8.43 773

9 99 984

50

20

8.38 968

8.38 981

9 99 987

40

20

8.43 834

8.43 850

9 99 984

40

30

8.39 054

8.39 067

9 99 987

30

30

8.43 910

8.43 927

9 99 984

30

40

8.39 139

8.39 153

9.99987

20

40

8.43 987

8.44 003

9 99 984

20

50

8.39 225

8.39 238

9 99 987

10

50

8.44 063

8.44 080

9 99 983

10

25

8.39310

8.39 323

9 99 987

35

35

8.44 139

8.44 156

9 99 983

25

10

8.39 395

8.39 408

9 99 987

50

10

8.44 216

8.44 232

9 99 983

50

20

8.39 480

8.39 493

9 99 987

40

20

8.44 292

8.44 308

9 99 983

40

30

8.39 565

8.39 587

9 99 987

30

30

8.44 367

8.44 384

9 99 983

30

40

8.39 649

8.39 663

9 99 987

20

40

8.44443

8.44 460

9 99 983

20

50

8.39 734

8.39 747

9 99 986

10

50

8.44 519

8.44 536

9 99 983

10

26

8.39818

8.39 832

9 99 986

34

36

8.44 594

8.44 611

9 99 983

24

10

8.39 902

8.39916

9 99 986

50

10

8.44 669

8.44 686

9 99 983

50

20

8.39 986

8.40 000

9 99 986

40

20

8.44 745

8.44 762

9 99 983

40

30

8.40 070

8.40 083

9 99 986

30

30

8.44 820

8.44 837

9 99 983

30

40

8.40 153

8.40 167

9 99 986

20

40

8.44 895

8.44 912

999983

20

50

8.40 237

8.40 251

9 99 986

10

50

8.44 969

8.44 987

9 99 983

10

27

8.40 320

8.40 334

9 99 986

33

37

8.45 044

8.45 061

9 99 983

23

10

8.40 403

8.40 417

9 99 986

50

10

8 45 119

8.45 136

9 99 983

50

20

8.40 486

8.40 500

9 99 986

40

20

8.45 193

8.45 210

9 99 983

40

30

8.40 569

8.40 583

9 99 986

30

30

8.45 267

8.45 285

9 99 983

30

40

8.40 651

8.40 665

9 99 986

20

40

8.45 341

8.45 359

9 99 982

20

50

8.40 734

8.40 748

9 99 986

10

50

8.45 415

8.45 433

9 99 982

10

28

8.40 816

8.40 830

9 99 986

32

38

8.45 489

8.45 507

9 99 982

22

10

8.40 898

8.40 913

9.99 986

50

10

8.45 563

8.45 581

9 99 982

50

20

8.40 980

8.40 995

9 99 986

40

20

8.45 637

8.45 655

9 99 982

40

30

8.41 062

8.41 077

9 99 986

30

30

8.45 710

8.45 728

9 99 982

30

40

8.41 144

8.41 158

999986

20

40

8.45 784

8.45 802

9 99 982

20

50

8.41 225

8.41 240

9 99 986

10

50

8.45 857

8.45 875

9 99 982

10

29

8.41 307

8.41 321

9 99 985

31

39

8.45 930

8.45 948

9 99 982

21

10

8.41 388

8.41 403

9 99 985

50

10

8.46 003

8.46 021

9 99 982

50

20

8.41 469

8.41 484

9 99 985

40

20

8.46 076

8.46 094

9 99 982

40

30

8.41 550

8.41 565

9 99 985

30

30

8.46 149

8.46 167

9.99982

30

40

8.41 631

8.41 646

9 99 985

20

40

8.46 222

8.46 240

999982

20

50

8.41 711

8.41 726

9 99 985

10

50

8.46 294

8.46 312

9 99 982

10

30

8.41 792

8.41 807

9 99 985

30

40

8.46 366

8.46 385

9.99982

20

1 n

L Cos

L Cot

L Sin

If 1

/ n

L Cos

L Cot

L Sin

II 1

(74)

88

1

D

1 n

L Sin

L Tan

LCos

II 1

1 II

L Sin

L Tan

L Cos

II 1

40

8.46 366

8.46 385

999982

20

50

8.50 504

8.50 527

9 99 978

10

10

8.46 439

8.46 457

999982

50

10

8.50 570

8.50 593

9 99 978

50

20

8.46 511

8.46 529

999982

40

20

8.50 636

8.50 658

9 99 978

40

30

8.46 583

8.46 602

9 99 981

30

30

8.50 701

8.50 724

999978

30

40

8.46 655

8.46 674

9 99 981

20

40

8 50 767

8.50 789

9 99 977

20

50

8.46 727

8.46 745

9 99 981

10

50

8.50 832

8.50 855

9 99 977

10

41

8.46 799

8.46 817

999981

19

51

8.50 897

8 50 920

9 99 977

9

10

8.46 870

8.46 889

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'

i°.oo = 6o'.o = 60'

('.);i)

TABLE VIII — CONSTAIv^TS

MATHEMATICAL CONSTANTS

Ratio of circumference of a circle to its

diameter ir = 3.14159265

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-

```