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Full text of "Tables of logarithms of numbers and of sines and tangents for every ten seconds of the quadrant, with other useful tables"

TABLES 



or 



LOGARITHMS OF NUMBERS 



AND OF 



SUES AND TAIGENTS 



FOR EVERT 



TEN SECONDS OF THE QUADRANT, 






WITH OTHER USEFUL TABLES. 



BY ELIAS LOO MIS, LLJX, 

PKOFESSOE OF NATURAL PHILOSOPHY AND A8TRONOMV IN TALK COLLEGE, AND ATTTHOK OT 
"COTIESE OP MATHEMATICS." 



TWENTIETH EDITION. 



NEW-YORK: 

HARPER & BROTHERS, PUBLISHERS, 

329 & 331 PEARL STREET, 

FRANKLIN SQUARE. 
1862. 



Entered, according to Act of Congress, in the year one thousand eight hund ed and forty-eight, bj 

HARPER & BROTHERS, 
in the Clerk's Office of the District Court of the Southern District of New York. 



CONTENTS. 



EXPLANATION i)P THE TABLES Y 

TABLE OF LOGARITHMS OF NUMBERS 1 

LOGARITHMIC SINES AND TANGENTS 21 

NATURAL SINES AND TANGENTS . .... 1 16 

NATURAL SECANTS 134 

LENGTHS OF CIRCULAR ARCS 1 35 

TRAVERSE TABLE 136 

MERIDIONAL PARTS 142 

CORRECTIONS TO MIDDLE LATITUDE 149 

LOGARITHMS FOR COMPOUND INTEREST, E^C 1 50 



PREFACE. 



THE accompanying tables were designed to afford the means of per 
forming trigonometrical computations with facility and precision. The 
tables chiefly used in this country for purposes of education extend to 
six decimal places, like those in the present collection; but the pre- 
cision which they are designed to furnish is only attained by a serious 
expenditure of labor. In the Table of Logarithms of Numbers they do 
not furnish the correction for a fifth figure in the natural number, and 
the labor of computing this correction is such that I always prefer the 
use of Hutton's Tables, extending to seven places, even in computations 
to which six-place logarithms are abundantly competent. In the pres 
ent collection, the correction for a fifth figure of the natural number is 
introduced at the bottom of each page, and the table is thus rendered 
nearly as useful as one of the common kind extending to 100,000. The 
whole has been carefully compared with standard authors, and nearly 
a dozen errors have thus been detected in the common tables. 

The principal table in this collection is that of Logarithmic Sines and 
Tangents. The common tables in this country extend only to minutes, 
with differences to 100". If, in a trigonometrical computation, angles 
are only required to the nearest minute, tables to five places are quite 
sufficient ; but if the computation is to be carried to seconds, these can 
only be obtained from the common tables by a great expenditure ol 
time and labor. In the present collection, the sines and tangents are fur- 
nished to every ten seconds of the quadrant, and at the bottom of each 
page is given the correction for any number of seconds less than ten, so 
that the precision of seconds can be obtained with almost the same fa- 
cility as that of minutes with the tables in common use. Moreover, 
near the limits of the quadrant, by means of an auxiliary table,<*ines and 
tangents are readily obtained, even for a fraction of a second. The 
method of arrangement of the sines and tangents was suggested by a 
table in Mackay's Longitude ; but the errors of that table, amounting to 
several thousand, have been corrected by a careful comparison with the 
work of Ursinus. By comparison with the same standard, more than 
two hundred errors (chiefly in the final figures) have been detected in 
the tables in common use. 

The Table of Natural Sines and Tangents is of less use than the loga- 
rithmic ; nevertheless, it is often important for reference, particularly in 
analytical geometry and the calculus ; and it is useful as a stepping 
stone to assist the beginner in comprehending the nature of logarithmic 

339660 



REFACE. 



sines ar.d tangents. The Traverse Table commonly usea in this country 
furnishes the latitude and departure to every quarter degree of the quad- 
rant, for distances from 1 to 100, and occupies ninety pages. The accom- 
panying table occupies but six pages, and yields ten times greater pre- 
cision. 

The Table of Meridional Parts extends to tenths of a mile, and grea 
care has been taken to insure its accuracy. For this purpose, I have 
compared all the similar tables within my reach, and among them have 
found two which appeared to have been computed independently. Be- 
tween them there were detected 674 discrepancies in the final figures. 
These cases were all recomputed, and 78 errors were detected in the 
jest copy compared. It is probable. that the numbers in this table are 
not in every instance true to the nearest tenth of a mile ; but it is be 
lieved that the remaining -errors are few in number, as well as minute. 
This table is confidently pronounced more accurate than any similar 
one with which I have been able to compare it. 

The Table of Corrections to Middle Latitude was computed entirely 
anew. The corresponding table in common use, which was originally 
computed by Workman, contains more than four hundred errors, sev- 
eral of them amounting to two minutes. 

On the whole, it is believed that the accompanying tables will be 
found more convenient to the computer than any tables of six decimal 
places hitherto published in this country ; and that they will be pro- 
nounced sufficiently extensive for all purposes of academic and collegri- 
ite instruction, as well as for practical mechanics and surveyors. 



EXPLANATION OF THE TABLES. 



TABLE OF LOGARITHMS OF NUMBERS, pp. 1-20. 

LOGARITHMS are numbers contrived to diminish the labor of Multiplica- 
tion and Division by substituting in their stead Addition ancl Subtrac 
tion. All numbers are regarded as powers of some one number, which 
is called the base of the system ; and the exponent of that power of the 
base which is equal to a given number, is called the logarithm of that 
number. 

The base of the common system of logarithms (called, from their in- 
ventor, Briggs' logarithms) is the number 10. Hence all numbers are 
to be regarded as powers of 10. Thus, since 

10= 1, is the logarithm of 1 in Briggs' system ; 

10'= 10, 1 " " 10 " " 

10 a =100, 2 " " 100 " " 

10 3 =1000, 3 " " 1000 " " 

10 4 = 10,000, 4 " 10,000 

&c., &c., &c. ; 

whence it appears that, in Briggs' system, the logarithm of every num- 
ber between 1 and 10 is some number between and 1, i. e., is a prop- 
er fraction. The logarithm of every number between 10 and 100 is 
some number between 1 and 2, i. e., is 1 plus a fraction. The loga- 
rithm of every number between 100 and 1000 is some number between 
2 and 3, i. e., is 2 plus a fraction, and so on. 

The preceding principles may be extended to fractions by means of 
negative exponents. Thus, since 

10^= 0.1, 1 is the logarithm of 0.1 in Briggs' system ; 
10~ 2 =0.01, 2 " " 0.01 " " 

\0~ 3 =0.001, 3 " " 0.001 

10~ 4 =0.0001, 4 " " 0.0001 

&c., &c., &c. 

Hence it appears that the logarithm of every number between 1 and 
0.1 is some number between and 1, or may be represented by 1 
plus a fraction; the logarithm of every number between 0.1 and .01 is 
some number between 1 and 2, or may be represented by 2 plus 



v'\ EXPLANATION or THE TABLES. 

a fraction ; the logarithm of every number between .01 and .001 is some 
number between 2 and 3, or is equal to 3 plus a fraction, and so on. 
The logarithms of most numbers, therefore, consist of an integer and 
a. fraction. The integral part is called the characteristic, and may be 
known from the following 

RULE. 

The characteristic of the logarithm of a number greater than unity, is 
cue less than the number of integral figures in the given number. 

Thus the logarithm of 297 is 2 plus a fraction ; that is, the character- 
istic of the logarithm of 297 is 2, which is one less than the number of 
integral figures. The characteristic of the logarithm of 5673.29 is 3 ; 
that of 73254.1 is 4, &c. 

The characteristic of the logarithm of a decimal fraction is a negative 
number, and is equal to the number of places by which its first significant 
figure is removed from the place of units. 

Thus the logarithm of .0046 is 3 plus a fraction; that is, the char- 
acteristic of the logarithm is 3, the first significant figure 4 being 
removed three places from units. 

The accompanying table contains the logarithms of all numbers from 
I to 10,000 carried to 6 decimal places. 

To find the Logarithm of any Number between 1 and 100. 

Look on the first page of the table, along the column of numbers under 
N, for the given number, and against it, in the next column, will be found 
the logarithm, with its characteristic. Thus, 

opposite 13 is 1.113943, which is the logarithm of 13; 
" 65 is 1.812913, " " 65. 

To find ?//* Logarith?n of any Number consisting of three Figures. 

Look on one of the pages from 2 to 20, along the left-hand column 
marked N, for the given number, and against it, in the column headed 0, 
will be found the decimal part of its logarithm. To this the character- 
istic must be prefixed, according to the rule already given. Thus 

the logarithm of 347 will be found, from page 8, to be 2.540329 ; 
" " 871 " " " 18, " 2.940018. 

As the first two figures of the decimal are the same for several suc- 
cessive numbers in the table, they are not repeated for each logarithm 
separately, but are left to be supplied. Thus the decimal part of the 
logarithm of 339 is .530200. The first two figures of the decimal remain 
the same up to 347 ; they are therefore omitted in the table, and are to 
be supplied. 

To find the Logarithm of any Number consisting of four Figures. 
Find the three left-hand figures in the column marked N as before 



EXPLANATION OP THE TABLES. vii 

jid the fourth figure at the head of one of the other columns. Opposite 
to the first three figures, and in the column under the fourth figure, will 
be found four figures of the logarithm, to which two figures from the 
column headed are to be prefixed, as in the former case. The char- 
acteristic, must be supplied by the usual rule. Thus 
the logarithm f 3456 is 3.538574 ; 
" 8765 is 3.042752. 

In sever-ai df the columns headed 1, 2, 3, &c., small dots are lound in 
the place of figures. This is to show that the two figures which are to 
be prefixed from the first column have changed, and they are to be 
taken from the horizontal line directly below. The place of the dots is 
to be supplied with ciphers. Thus 

the logarithm of 2045 is 3.310693 ; 
9777 is 3.990206. 

The two leading figures from the column must also be taken from 
the horizontal line below, if any dots have been passed over on the same 
horizontal line. Thus 

the logarithm of 1628 is 3.211654. 

To find the Logarithm of any Number containing more than four 

Figures. 

By inspecting the table, we shall find that within certain limits the log- 
arithms are nearly proportional to their corresponding numbers. Thus 
the logarithm of 7250 is 3.860338 ; 
" " 7251 is 3.860398 ; 

" " 7252 is 3.860458 ; 

" " 7253 is 3.860518. 

Here the difference between the successive logarithms, called the 
tabular difference, is constantly 60, corresponding to a difference of unity 
in the natural numbers. If, then, we suppose the logarithms to be pro- 
portional to their corresponding numbers (as they are nearly^, a differ- 
ence of 0.1 in the numbers should correspond to a difference of 6 in the 
logarithms ; a difference of 0.2 in the numbers should correspond to a 
difference of 12 in the logarithms, &c. Hence 

the logarithm of 7250.1 must be 3.860344 ; 

" " 7250.2 " 3.860350; 

" " 7250.3 " 3.860356; 

&c., &c. 

In order to facilitate the computation, the tabular difference is insert- 
ed on page 16 in the column headed D, and the proportional part for the 
fifth figure of the natural number is given at the bottom of the page. 
Thus, when the tabular difference is 60, the corrections for .1, .2, .3 
&c., are seen to be 6, 12, 18, &c. 

If the given number was 72501, the characteristic of its logarithm 
would be 4, but the decimal part would be the same as for 



Vlll 



EXPLANATION OF THE TABLES. 



If it were required to find the correction for a sixth figure in the nat 
ural number, it is readily obtained from the Proportional Parts in the 
table. Thus, if the correction for .5 is 30, the correction for .05 is ob 
viously 3. 

As the differences change rapidly in me first part of the table, n 
was found inconvenient to give the proportional parts for each tabular 
difference ; accordingly, for the first seven pages they are only given 
for the even differences, but the proportional parts for the odd differences 
will be readily found by inspection. 
Required the logarithm of 452789. 

The logarithm of 452700 is 5.655810 
The tabular difference is 96. 

Accordingly, the correction for the fifth figure, 8, is 77, and for the 
sixth figure, 9, is 8.6, or 9 nearly. Adding these corrections to the num- 
ber before found, we obtain 5.655896. 

The preceding logarithms do not pretend to be perfectly exact, bu 
only the nearest numbers having but six decimal places. Accordingly 
when the fraction which is omitted exceeds half a unit in the sixth deH 
mal place, the last figure must be increased by unity. 
Required the logarithm of 8765432. 

The logarithm of 8765000 is 6.942752 

Correction for the fifth figure 4, 20 

" " sixth figure 3, 1.5 

" " seventh figure 2, 0.1 

Therefore the logarithm of 8765432 is 6.942774. 

Required the logarithm of 234567. 

The logarithm of 234500 is 5.370143 

Correction for the fifth figure 6, 111 

" sixth figure 7, 13 

Therefore the logarithm of 234567 is 5.370267. 

To find the Logarithm of a Decimal Fraction. 

The decimal part of the logarithm of any number is the same as that 
of the number multiplied or divided by 10, 100, 1000, &c. Hence, for 
a decimal fraction, we find the logarithm as if the figures were integers 
and prefix the characteristic according to the usual rule. 

EXAMPLES. 

The logarithm of 345.6 is 2.538574 ; 

87.65 is 1.942752; 

" 2.345 is 0.370143; 

" .1234 is 1.091315; 

005678 is 3.754195. 



EXPLANATION OF THE TABLC 3. .x 

The minus sign is placed over the characteristic to show that this 
alone is negative, while the decimal part of the logarithm is positive. 

To find the Logarithm of a Vulgar Fraction. 

We may reduce the vulgar fraction to a decimal, and find its loga- 
rithm by the preceding rule ; or, since the value of a fraction is equal to 
the quotient of the numerator divided by the denominator, we may sub- 
tract the logarithm of the denominator from that of the numerator ; the 
difference will be the logarithm of the quotient. 
Required the logarithm of T 3 g-, or 0.1875. 

From the logarithm of 3, .0.477121, 
Subtract the logarithm of 16, 1.204120. 
Leaves logarithm of T \, or .1875, 1.273001. 

Tn the same manner we find 

the logarithm of ^ is 2.861697 ; 
" }ff is 1.147401. 

To find the natural Number corresponding to any Logarithm. 

Look in the table in the column headed for the first two figures of 
the logarithm, neglecting the characteristic ; the other four figures are 
to be looked for in the same column, or in one of the nine following col- 
umns ; and if they are exactly found, the first three figures of the corre- 
sponding number will be found opposite to them in the column headed 
N, and the fourth figure will be found at the top of the page. This num- 
ber must be made to correspond with the characteristic of the given 
logarithm by pointing off decimals or annexing ciphers. Thus 

the natural number belonging to the logarithm 4.370143 is 23450 ; 

1.538574 is 34.56. 

If the decimal part of the logarithm can not be exactly found in the 
table, look for the nearest less logarithm, and take out the four figures 
of the corresponding natural number as before ; the additional figures 
may be obtained by means of the Proportional Parts at the bottom of 
the page. 

Required the number belonging to the logarithm 4.368399. 

On page 6, we find the next less logarithm .368287. 

The four corresponding figures of the natural number are 2335. 
Their logarithm is less than the one proposed by 112. The tabular 
difference is 186 ; and, by referring to the bpttom of page 6, we find 
that, with a difference of 186, the figure corresponding to the Propor- 
tional Part 112 is 6. Hence the five, figures of the natural number are 
23356 ; and, since the characteristic of the proposed logarithm is 4, these 
five figures are all integral. 

Required the number belonging to logarithm 5.345678. 

The next less logarithm in the table is .345570 

Their difference 7 's 108. 



x EXPLANATION OF THE TABLES. 

The first four figures of the natural number are 2216. 

With the tabular difference 196, the fifth figure corresponding to 108 
>a seen to be 5. with a remainder of 10. which furnishes a sixth figure 5 
nearly. Hence the required number is 221' 

In the same manner we find 

the number corresponding to logarithm 3 ~ $ ; 



* T.IV17S17 is .444444. 

TABLE OF NATURAL SIN TANGENTS, pp. 116-133. 

This is a table of natural sines and tangents for every degree ana 
minute of the quadrant, carried to six places of figures. Since the ra- 
dius of the circle is supposed to be unity, t: 

less than unity. These sines are expressed in decimal parts of the 
radius ; and. although the decimal point is not written in the table, it 
must always be prefixed. The degrees are arranged in order at the top 
of the page, and the minutes in the left hand vertical column. Directly 
under the given number of - at the top of the 1 opposite 

to the minutes on the left, will be found the sine required. The tw--> 
leading figures are repeated at intervals of ten minutes. Thus 
the sine of s. 11 2330: 

" 

The same number in the table is both the sine of an arc and t! 
sine of its complement. The degrees for the cosines must be sought at 
the bottom of the page, and the minutes on the right. Thus 

the cosine oioJ 2: .4631 

.. 

If a sine is required for an arc consisting of degrees, minuies. and sec 
ondsj it may be found by means of the line at the bottom of each page. 
which gives the proportional part corresponding to one second of arc 
Required the sine of 8 9' 10". 

The sine of 8 9' is .141: 

By referring to the bottom of page 116, in the column mui 
find the correction for 1" is 4.80 ; hence the correction for 10" must be 
48, which, added to the number above found, gives for the sine of S c 
9' 10", .141813. 

In the same manner we find 

the cosine of 56 34' 28" is .550S53. 

It will be observed, that since the cosines decrease while the arcs m 
crease, the correction for the 2S ' is to be subtracted from the cosine 

34. 

The arrangement of the table of natural tangents is similar to that of 

the table of sines. The tangents for arcs less than 45 are all less than 

radius, and, consist wholly of decimals. For arcs above 45 C . the tan- 

are all greater than radius and contain both integral and decimal 



EXPLANATION OF THE T A 111.1:9. xj 

ngures. The proportional parts at the bottom of each page enable us 
readily to find the correction for seconds. Thus 

the natural tangent of 32 29' 18" is .636784 ; 
" 74 35' 55" is 3.63014. 

To find the Number of Degrees, Minutes, and Seconds belonging to 
given Sine or Tangent. 

If the given sine or tangent is found exactly in the table, the corre- 
sponding degrees will be found afc the top of the page, and the minutes 
on the left hand. But when the given number is not found exactly in 
the table, look for the sine or tangent which is next less than the pro- 
posed one, and take out the corresponding degrees and minutes. Find, 
also, the difference between this tabular number and the number pro- 
posed, and divide it by the proportional part for 1" found at the bottom 
of the page ; the quotient will be the required number of seconds. 

Required the arc whose sine is .750000. 

The next less sine in the table is .749919, the arc corresponding to 
which is 48 35'. The difference between this sine and that proposed 
is 81, which, divided by 3.21, gives 25. Hence the required arc is 48 
35' 25". 

In the same manner we find 

the arc whose tangent is 2.000000, to be 63 26' 6". 

TABLE OP NATURAL SECANTS, pp. 134-5. 

This is a table of natural secants for every ten minutes of the quad- 
rant carried to seven places of figures. The degrees are arranged in 
order in the first vertical column on the left, and the minutes at the top 
of the page. Thus 

the secant of 21 20' is 1.073561 ; 
" " 81 50' is 7.039622. 

If a secant is required for a number of minutes not given in the table, 
the correction for the odd minutes may be found by means of the last 
vertical column on the right, which shows the proportional part for one 
minute. 

Let it be required to find the secant of 30 33'. 

The secant of 30 30' is 1.160592. 

The correction for 1' is 198.9, which, multiplied by 3, gives 597 
Adding this to the number before found, we obtain 1.161189. 

For a cosecant, the degrees must be sought in the right-hand vertical 
column, and the minutes at the bottom of the page. Thus 
the cosecant of 47 40' is 1.352742. 

TABLE OF LOGARITHMIC SINES AND TANGENTS, pp. 21-115. 

This is a table of the logarithms of the sines and tangents for every 
ten seconds of the quadrant, carried to six places of decimals The de- 



in EXPLANATION OF THE TABLES. 

grees and seconds are placed at the top of the page, and the minutes .n 
the left vertical column. After the first two degrees, the three leading 
figures in the table of sines are only given in the column headed 0", and 
are to be prefixed to the numbers in the other columns, as in the table 
of logarithms of numbers. Also, where the leading figures change, this 
change is indicated by dots, as in the former table. The correction foi 
any number of seconds less than 10 is given at the bottom of the page. 

To find the Logarithmic Sine or Tangent of a given Arc. 

Look for the degrees at the top of the page, the minutes on the lelt 
hand, and the next less tenth second at the top ; then, under the seconds, 
and 'opposite to the minutes, will be found four figures, to which the 
three leading figures are to be prefixed from the column headed 0" ; to 
this add the proportional part for the odd seconds from the bottom of 
the page. 

Required the logarithmic she of 24 27' 34". 

The logarithmic sine of 24 27' 30" is 9.617033. 
Proportional part for 4" is 18. 

Logarithmic sine of 24 27' 34" is 9.617051. 

This is the logarithm of .414049 found in the table of natural sines on 
page 120. The natural sine being less than unity, the characteristic 
of its logarithm is negative. Tc obviate this inconvenience, the char- 
acteristics in the table nave all been increased by 10 ; or the logarith- 
mic sines may be regarded as the logarithms of natural sines computed 
for a radius of 10,000,000,000. 

Required the logarithmic tangent of 73 35' 43". 

The logarithmic tangent of 73 35' 40" is 10.531031. 
Proportional part for 3" is 23. 

Logarithmic tangent of 73 35' 43" 10.531054. 

When a cosine is required, the degrees and seconds must be sought 
at the bottom of the page, and the minutes on the right, and the correc 
tion for the odd seconds must be subtracted from the number in the table 
Required the logarithmic cosine of 59 33' 47". 

The logarithmic cosine of 59 33' 40" i-s 9.704682. 
Proportional part for 7" is 25. 

Logarithmic cosine of 59 33' 47" is 9.704657. 
So, also, the logarithmic cotangent of 37 27' 14" is found to be 10.115744. 
The proportional parts given at the bottom of each page correspond 
to the degrees at the top oi the page increased by 30', and are not 
strictly applicable to any other number of minutes ; nevertheless, the 
differences of the sines change so slowly, except near the commence- 
ment of the quadrant, that the error resulting from using these numbers' 
for every part of the page will sa Jom exceed a unit in the sixth deci- 
mal place. For the first two degrees, the differences change so rapidly 



EXPLANATION OF THE TABLES. xii 

tuat the proportional part for 1" is given for each minute in the right- 
hand column of the page. The correction for any number of seconds 
less than ten will be found by multiplying the proportional part for i" 
by the given number of seconds. 

Required the logarithmic sine of 1 17' 33". 

The logarithmic sine of 1 17' 30" is 8.352991 

The correction for 3" is found by multiplying 93.4 by 3, which gives 
280. Adding this to the above tabular number, we obtain 
the sine of 1 IT 33", 8.353271. 

A similar method may be employed for several of the first degrees 
of the quadrant, if the proportional parts at the bottom of the page are 
not thought sufficiently precise. This correction may, however, be ob- 
tained pretty nearly by inspect : on from comparing the proportional 
parts for two successive degrees. Thus, on page 26, the correction for 
1", corresponding to the sine of 2 30', is 48 ; the correction for 1", cor- 
responding to the sine of 3 30', is 34. Hence the correction for 1", 
corresponding to the sine of 3 0', must be about 41 ; and in the same 
manner we may proceed for any other part of the table. 

Near the close of the quadrant, the tangents vary so rapidly, that the 
same arrangement of the table is adopted as for the commencement of 
the quadrant. For the last as well as the first two degrees of the quad- 
rant, the proportional part to 1" is given for each minute separately. 
These proportional parts are computed for the minutes placed opposite 
to them, increased by 30' , and are not strictly applicable to any other 
number of seconds ; nevertheless, the differences for the most part 
change so slowly, that the error resulting from. using these numbers for 
every part of the same horizontal line is quite small. When great ac- 
curacy is required, the table on page 114 may be employed for arcs 
near the limits of the quadrant. This table furnishes the differences be- 
tween the logarithmic sines and the logarithms of the arcs expressed in 
seconds. Thus 

the logarithmic sine of 5' is 7.162696 ; 
the logarithm of 300" (=5 ; ) is 2.477121 ; 

the difference is 4.685575. 

This is the number found on page 114, under the heading log. sine 
A log. A", opposite 5 min. ; and in a similar manner the other numbers 
in the same column are obtained. These numbers vary quite slowly 
for two degrees ; and hence, to find the logarithmic sine of an arc less 
than two degrees, we have but to add the logarithm of the arc expressed 
iu seconds to the appropriate number found in this table. 
Required the logarithmic sine of 7' 22". 

Tabular number from page 114, 4.685575. 
The logarithm of 442" is 2.645422. 

Logarithmic sine of T 22" is 7.330997 



xiv EXPLANATION OF THE TABLES. 

The logarithmic tangent of an arc less than two degrees is found in 
a similar manner. 
Required the logarithmic tangent of 27' 36". 

Tabular number from page 114, 4.685584. 

The logarithm of 1656" is 3.219060. 

Logarithmic tangent of 27' 36" is 7.904644. 

The column headed log. cot. A+log. A" is found by adding -the log- 
arithmic cotangent to the logarithm of the arc expressed in seconds. 
Hence, to find the logarithmic cotangent of an arc less than two degrees, 
we must subtract from the tabular number the logarithm of the arc in 
seconds. 

Required the logarithmic cotangent of 27' 36". 

Tabular number from page 114, 15.314416. 

The logarithm of 1656" is 3.219060. 

Logarithmic cotangent of 27' 36" is 12.095356. 
The same method will, of course, furnish cosines and cotangents ol 
arcs near 90. 

The secants and cosecants are omitted in this table, since they are 
easily derived from the cosines and sines. 

The logarithmic secant is found by subtracting the logarithmic cosine 
from 20 ; and the logarithmic cosecant is found by subtracting the loga- 
rithmic sine from 20. 

Thus we have found the logarithmic sine of 24 27' 34" to be 9.617051. 
Hence the logarithmic cosecant of 24 27' 34" is 10.382949. 

The logarithmic "cosine of 54 12' 40" is 9.767008. 

Hence the logarithmic secant of 54 12' 40" is 10.232992. 

To find the Arc corresponding to a given Logarithmic Sine or Tangent 

If the given number is found exactly in the table the corresponding 
degrees and seconds will be found at the top of the page, and the min- 
utes on the left. But when the given number is not found exactly in 
the table, look for the sine or tangent which is next less than the pro- 
posed one, and take out the corresponding degrees, minutes, and sec- 
onds. Find, also, the difference between this tabular number and the 
number proposed, and, corresponding to this difference, at the bottom of 
the page will be found a certain number of seconds, which is to be added 
vO the arc before found. 

Required the arc corresponding to the logarithmic sine 9.750000. 

The next less sine in the table is 9.749987. 

The arc corresponding to which is 34 13' 0". 

The difference between its sine and the one proposed is 13, corre- 
sponding to which, at the bottom of the page, we find 4" nearly. Hence 
the required arc is 34 19' 4-". 



EXPLANATION OF THE TABLES, xv 

In the same manner we find the arc corresponding to logarithmic tan 
gent 10.250000, to be 60 38' 57". 

When the arc falls within the first two degrees of the quadrant, the 
odd seconds may be found by dividing the difference between the tab- 
ular number and the one proposed, by the proportional part for 1". We 
thus find the arc corresponding to logarithmic sine 8.400000, to be 1 
26' 22" nearly. 

We may employ the same method for the last two degrees of the 
quadrant when a tangent is given ; but near the limits of the quadrant 
it is better to employ the auxiliary table on page 114. If we subtract 
the corresponding tabular number on page 114 from the given logarith- 
mic sine, the remainder will be the logarithm of the arc expressed in 
seconds. 

Required the arc corresponding to logarithmic sine 7.000000. 

We see, from page 22, that the arc must be nearly 3' ; the correspond 
ing tabular number on page 114 is 4.685575. 

The difference is 2.314425; 
which is the logarithm of 206."265. 

Hence the required arc is 3' 26."265. 

In the same manner we find the arc corresponding to logarithmic 
tangent 8.184008, to be 52' 35 /; . 

TABLE FOR THE LENGTHS OF CIRCULAR ARCS, p. 135. 

This table contains the lengths of every single degree up to 60, and 
at intervals often degrees up to 180 ; also for every minute and second 
up to 20. The lengths are all expressed in decimal parts of radius. 

Required the length of an arc of 57 17' 44."8. 

Take out from their respective columns the lengths answering to each 
of these numbers singly, and add them all together thus : 

57 0.9948377 

17' 0049451 

40" 0001939 

4" 0000194 

0."8 . .0000039 



The sum is 1.0000000. 

That is, the length of an arc of 57 17' 44."8 is equal to the radius of 
the circle. 

TRAVERSE TABLE, pp. 136-141. 

This table shows the difference of latitude and the departure to four 
decimal places for distances from 1 to 10, and for bearings from to 
90rat intervals of 15'. If the bearing is less than 45, the angle will 
be found on the left margin of one of the pages of the table, and the dis 
*ance at the top or bottom of the page ; the difference of latitude wil 



A t i EXPLANATION OF THE TABLES 

be found in the column headed lat. at the top -of the page, and the de 
parture in the column headed dep. If the bearing is more than 45, the 
angle will be found on the right margin, and the difference of latitude 
will be found in the column marked lat. at the bottom of the page, and 
the departure in the other column. The latitudes and departures for 
different distances with the same bearing, are proportional to the dis- 
tances. Therefore the distances may be reckoned as tens, hundreds, or 
thousands, if the place of the decimal point in each departure and differ- 
ence of latitude be changed accordingly. 

Required the latitude and departure for the distance 32.25, and the 
bearing 10 30'. 

On page 136, opposite to 10 30', we find the following latitudes and 
departures, proper attention being paid to the position of the decimal 
-joints. 

Distance. Diff. Lat. Dep. 

30 29.498 5.467 

2 1.966 .364 

.2 .197 .036 

.05 .049 .009 



32.25 31.710 5.876. 

TABLE OF MERIDIONAL PARTS, pp. 142-148. 

This table gives the length of the enlarged meridian on Mercators 
Chart to every minute of latitude expressed in geographical miles and 
tenths of a mile. The degrees of latitude are arranged in order at the 
top of the page, and the minutes en both the right and left margins. 
Under the degrees and opposite to the minutes are placed the merid- 
ional parts corresponding to any latitude less than 80. Thus 
the meridional parts for latitude 12 23' are 748.9 ; 

57 42' are 4260.5. 

TABLE OF CORRECTIONS TO MIDDLE LATITUDE, p. 149. 

This table is used in Navigation for correcting the middle latitude 
The given middle latitude is to be found either in the first or last verti- 
cal column, opposite to which, and under the given difference of latitude, 
is inserted the proper correction in minutes, to be added to the middle 
latitude to obtain the latitude in which the meridian distance is accu 
rately equal to the departure. Thus, if the middle latitude is 41, and 
the difference of latitude 14, the correction will be found to be 25', 
which, added to the middle latitude, gives the corrected middle latitude 
41 25'. 



A TABLE 


* 


OP 


LOGARITHMS OF lUMBEHS 


FROM 1 TO 10,000. 




N. 


Log. 


K. 


Log. 


N. 


Log. 


N. 


Log. 


i 


o.oooooo 


26 


.4i4973 


5i 


.707570 


76 


.880814 


52 


o.3oio3o 


27 


.43i364 


52 


.716003 


77 


.886491 


3 


0.477121 


28 


.447i58 


53 


.724276 


78 


.892095 


'4 


0.602060 


29 


.462398 


54 


. 7 323 9 4 


79 


.897627 


5 


0.698970 


3o 


.477121 


55 


74o363 


80 


.903090 


6 


0.778151 


3i 


.491362 


56 


.748188 


8 1 


.908485 


7 


0.845098 


32 


.5o5i5o 


5 7 


. 7 558 7 5 


82 


.913814 


8 


0.903090 


33 


.5i85i4 


58 


.763428 


83 


.919078 


9 


0.954243 


34 


.53i479 


5 9 


.770852 


84 


.924279 


10 


i .000000 


35 


.544o68 


60 


.778151 


85 


.929419 


ii 


.041393 


36 


.5563o3 


61 


. 7 8533o 


86 


.934498 


12 


.079181 


37 


.568202 


62 


.792392 


87 


.939519 


i3 


.113943 


38 


.579784 


63 


.799341 


88 


. 9 44483 


i4 


.146128 


3 9 


.591065 


64 


.806180 


89 


.949390 


i5 


.176091 


4o 


.602060 


65 


.812913 


9 


.954243 


16 


.204120 


4i 


.612784 


66 


.819544 


9 1 


.959041 


J 7 


.23o449 


4a 


.623249 


67 


.826075 


92 


.963788 


18 


.255273 


43 


.633468 


68 


.832509 


93 


. 9 68483 


19 


.278754 


44 


.643453 


69 


.838849 


94 


.973128 


2Q 


.3ojo3o 


45 


.653213 


70 


.845098 


9 5 


.977724 


21 


.322219 


46 


.662758 


7 1 


.85i258 


96 


.982271 


22 


.342423 


47 


.672098 


72 


.857332 


97 


.986772 


23 


.361728 


48 


.681241 


73 


.863323 


98 


.991226 


24 


.380211 


49 


.690196 


74 


.869232 


99 


. 99 5635 


25 


.397940 


5o 


.698970 


75 


.8 7 5o6i 


100 


2.OOOOOO 


N.B. In the following table, the two leading figures in the first column 


of logarithms are to be prefixed to all the numbexs of the same horizontal 


line in the next nine columns ; but when a point (.) occurs, its place is to 


be suppHfed by a cipher, and the two leading figures are to be taken from 


the next lower line. 



LOGARITHMS OF NUMBERS. 



Nj 0. 1 ,- 


2 


3 


.4 5 


6 


7 


8 


9 


D. 


100 


oooooo o434 


0868 


i3oi i 1734 


2166 


25 9 8 


3o2 9 


346i 


38 9 i 


432 


IOI 


4321 4 7 5i 


5x8i 


56o 9 6o38 


6466 


68 9 4 


7321 


7748 


8174 


428 


IO2 


8600 9026 


9 45i 


9876 .3oo 


.724 


ii4? 


1670 


i 99 3 


2 4i5 


424 


io3 


012837 3269 


368o 


4ioo 452i 


4 9 &> 53Co 


5 779 


6i 9 7 


6616 


419 


io4 


7o33 745i 


7868 


8284 8700 


9116 


9 53 2 


9947 


.36i 


. 77 5 


4x6 


io5 


021189 i6o3 


2016 


2428 2841 


3252 


3664 


4o 7 5 


4486 


4896 


419 


1 06 


53o6 5 7 i5 


6i25 


6533 6942 


7 35o 


77 5 7 


8i64 


85 7 i 


8978 


4o8 


107 


9 384 9789 


.i 9 5 


.600 ioo4 


i4o8 


1812 


2216 


26i 9 


3021 


4o4 


108 


o33424 | 3826 


422 7 


4628 $029 


543o 


583o 


623o 


662 9 


7028 


4oo 


io 9 


7426 7825 


8223 


8620 9017 


9 4i4 


9811 


.207 


.602 


. 99 8 


3 9 6 


no 


041393 I 


i 7 8 7 


2l82 


2676 2969 


3362 


3 7 55 


4i48 


454o 


4 9 32 


3 9 3 


III 


5323 


5 7 i4 


6io5 


6495 6885 


7 2 7 5 


7 664 


8o53 


8442 


883o 


38 9 


112 


9218 


9 6o6 


999 3 


.38o .766 


ii53 


i538 


1924 


23o 9 


26 9 4 


386 


n3 


053078 


3463 


3846 


423o. 46i3 


4996 


53 7 8 


6760 


6142 


6524 


382 


n4 


6905 


7 286 


7 666 


8o46 % 8426 


88o5 


9 i85 


9563 


99 42 


.320 


379 


n5 


060698 


io 7 5 


i452 


1829 2206 


-2582 


2 9 58 


3333 


3 7 o 9 


4o83 


3 7 6 


116 


4458 


4832 


5206 


558o 5953 


6326 


66 99 


7071 


7443 


7815 


3 7 3 


117 


8186 


855 7 


8928 


9298 9668 


..38 


4o 7 


.776 


ii45 


i5i4 


36 9 


118 


071882 


2250 


261-7 


2986 3352 


3718 


4o85 


445 1 


48i6 


5i8 3 


366 


ii 9 


5547 


5 9 I2 


6276 


664o 7004 


736~8 


77 3i 


8094 


845 7 


8819 


363 


120 


9181 


9 543 


9904 


.266 ; .625 


.987 


1 34? 


1707 


2067 


2426 


36o 


121 


082785 


3i44 


35o3 


386i 4219 


45 7 6 


4 9 34 


6291 


5647 6o 4 


35 7 


N. 





1 


2 


3 


4 || 5 


6 


7 8 


9 


D. 




434 


43 


87 


i3o 


1 7 4 


217 


260 


3o4 


34? 


3 9 i 






432 


43 


86 


i3o 


I 7 3 


216 


269 


302 


346 


38 9 






43o 


43 


86 


129 


I 7 2 


2l5 


258 


3oi 


344 


38 7 






428 


43 


86 


128 


I 7 I 


2l4 


25 7 


3oo 


342 


385 






426 


43 


85 


128 


I 7 


213 


256 


298 


34i 


383 






424 


42 


85 


127 


I 7 


212 


254 


297 


33o 


382 






422 


42 


84 


127 


169 


211 


253 


295 


338 


38o 




420 


42 


84 


126 


168 


210 


252 


294 


336 


3 7 8 




4x8 


42 


84 


125 


167 


209 


25l 


293 


334 


376 




! 


4i6 


42 


83 


125 


1 66 


208 


25o 


291 


333 


3?4 






4x4 


4i 


83 


124 


166 


207 


248 


290 


33i 


3 7 3 






412 


4i 


82 


124 


i65 


206 


247 


288 


33o 


3 7 i 






4io 


4i 


82 


123 


1 64 


2O5 


246 


287 


3 2 8 


36 9 






4o8 


4i 


82 


122 


i63 


204 


245 


286 


326 


36 7 






4o6 


4i 


81 


122 


162 


203 


. 244 


284 


3 2 5 


365 






4o4 


4o 


Bi 


121 


162 


2O2 


242 


2 83 


323 


364 






402 a 


4o 


80 


121 


161 


201 


241 


281 


322 


362 




(D 


4oo ^ 


4o 


80 


120 


160 


200 


240 


280 


320 


36o 




a 


3 9 8 1 


4o 


80 


II 9 


i5o 


199 


23 9 


279 


3i8 


358 






J 


3 9 6 o 


4o 


79 


II 9 


i58 


I 9 8 


238 


277 


3i 7 


356 




ID 

5 


W ! 


3 9 


79 


118 


1 58 


I 9 7 


236 


276 


3i5 


355 




H-i 


3 9 2 o 


39 


78 


118 


i5 7 


I 9 6 


235 


2 7 4 


3x4 


353 






3 9 o CU 


39 


78 


xi 7 


i56 


i 9 5 


234 


273 


3l2 


35i 






388 


39 


78 


116 


i55 


194 


233 


272 


3io 


349 






386 


39 


77 


116 


1 54 


i 9 3 


232 


270 


3o 9 


34? 






384 


38 


77 


ii5 


1 54 


192 


230 


269 


307 


346 






38 2 


38 


76 


iilS 


i53 


191 


22 9 


267 


3o6 


344 






38o 


38 


76 


n4 


152 


190 


228 


266 


3o4 


342 






3 7 8 


38 


76 


Ii3 


i5i 


189 


227 


2 65 


302 


34o 






3 7 6 


38 


75 


li3 


i5o 


1 88 


226 


263 


3oi 


338 






3 7 4 


37 


75 


112 


i5o 


187 


224 


262 


2 99 


33 7 






3 7 2 


37 


74 


112 


1 49 


186 


223 


260 


2 9 8 


335 






3 7 o 
368 


37 
37 


74 

74 


III 

no 


i48 
147 


i85 
1 84 


222 

221 


2 58 


2 9 6 
2 9 4 


333 
t3i 






366 


37 


73 


IIO 


i46 


i83 


220 


256 


2 9 3 


329 






364 


36 


73 


109 


i46 


182 


218 


2 55 


291 


3a8 






362 


36 


72 


109 


i45 


181 


217 


253 


290 


326 






36o 


36 


72 


108 


i44 


180 


216 


Si 


288 


324 





LOGARITHMS OF NUMBERS. 



N. 





1 


2 


3 


4 


5 


6 


7 


8 


9 


D. 


122 


o8636o 


6716 


7071 


7426 


7781 


8i36 


8490 


8845 


9198 


9662 355 


123 


9906 


.268 


.611 


.963 


i3i5 


1667 


2018 


2370 


2 7 2I 


3071 


35i 


124 


098422 


3 77 2 


4l22 


447i 


4820 


6169 


55i8 


-5866 


62l5 


6662 


349 


125 


6910 


7267 


7604 


79 5i 


8298 


8644 


8990 


9335 


9681 


..26 


346 


126 


100371 


0716 


1069 


i4o3 


1747 


2091 


2434 


2777 


3lI9 


3462 


343 


127 


38o4 


4i46 


448 7 


4828 


6169 


55io 


585i 


6191 


653i 


6871 


34i 


128 


7210 


7649 


7888 


8227 


8565 


8903 


9241 


9679 


9916 


.253 


338 


129 


110690 


0926 


1263 


1699 


1934 


2270 


2606 


2940 


32 7 5 


3609 


335 


i3o 


3 9 43 


4277 


46u 


4944 


6278 


56u 


5 9 43 


6276 


6608 


6g4o 


333 


i3i 


-7271 


7603 


79 34 


8266 


8696 


8926 


9266 


9686 


9916 


.245 


33o 


132 


120674 


0903 


I23l 


1660 


1888 


2216 


2 544 


2871 


3198 


35 2 5 


328 


i33 


3852 


4178 


45o4 


483o 


5i56 


548i 


58o6 


6i3i 


6456 


6781 


325 


1 34 


7106 


7429 


77 53 


8076- 


83 99 


8722 


9o45 


9 368 


9690 


. . 12 


323 


i35 


i3o334 


o655 


0977 


1298 


1619 


I 9 3 9 


2260 


2680 


2900 


3219 


321 


i36 


3539 


3858 


4177 


4496 


48i4 


5i3 


545i 


6769 


6086 


64o3 


3i8 


i3 7 


6721 


7 o3 7 


7354 


7671 


7987 


83o3 


8618 


8 9 34 


9249 


9564 


3x5 


i38 


9879 


.194 


.5o8 


.822 


n36 


i45o 


i 7 63 


2076 


238 9 


2702 


3:4 


i3 9 


i43oi5 


3327 


3639 


3961 


4263 


45 7 4 


4885 


6196 


55o 7 


58i8 


3n 


i4o 


6128 


6438 


6 7 48 


7068 


7 36 7 


7676 


7986 


8294 


86o3 


8911 


309 


i4i 


9219 


9627 


9 835 


.142 


.449 


.766 


io63 


1370 


i6 7 6 


1982 


3o 7 


142 


162288 


2 5 9 4 


2900 


3206 


35io 


38i5 


4l20 


4424 


4 7 28 


5o3 2 


3o5 


i43 


5336 


564o 


5 9 43 


6246 


6549 


6862 


7i54 


745 7 


7769 


8061 


3o3 


i44 


8362 


8664 


8966 


9266 


9667 


9868 


.168 


46 9 


.769 


1068 


3oi 


i45 


i6i368 


1667 


1967 


2266 


2664 


2863 


3i6i 


346o 


3 7 58 


4o55 


299 


i46 


4353 


465o 


4947 


5244 


554i 


5838 


6i34 


643o 


6726 


7022 


2 97 


147 


7 3i 7 


76 1 3 


7908 


8ao3 


8497 


8792 


9086 


9380 


9674 


9968 


296 


1 48 


170262 


o555 


o848 


n4i 


i434 


1726 


2019 


23ll 


26o3 


2896 


293 


N. 


1 


2 | 3 


4 || 5 


6 


7 


8 


9 


TT" 




358 


36 


72 


.107 


i43 


179 


2l5 


261 


286 


322 






356 


36 


7 1 


107 


i4a 


178 


9X4 


249 


286 


320 






354 


35 


7 1 


1 06 


142 


177 


212 


248 


283 


319 






352 


35 


7 


1 06 


i4i 


176 


211 


246 


282 


3i 7 






35o - 


35 


70 


io5 


i4o 


176 


2IO 


245 


280 


3i5 






348 


35 


70 


io4 


i3g 


1 74 


209 


244 


278 


3i3 






346 


35 


69 


io4 


1 38 


i 7 3 


208 


242 


277 


3n 






344 


34 


69 


io3 


i38 


172 


2O6 


241 


276 


3io 






342 


34 


68 


io3 


i3 7 


171 


206 


239 


274 


3o8 






34o 


34 


68 


102 


1 36 


170 


2O4 


238 


272 


3o6 






338 


34 


68 


101 


1 35 


169 


203 


23 7 


270 


3o4 






336 ' 


34 


67 


101 


1 34 


168 


202 


235 


269 


302 






334 . 


33 


67 


IOO 


1 34 


167 


2OO 


234 


267 


3oi 






332 g 


33 


66 


IOO 


i33 


166 


I 99 


232 


266 


299 







33o - 


33 


66 


99 


132 


i65 


198 


23l 


264 


2 97 







328 ~ 


33 


66 


98 


i3i 


1 64 


I 97 


230 


262 


296 




H 

<D 
V. * 


326 a < 

o 


33 


65 


98 


i3o 


i63 


196 


228 


261 


293 




| 


324 


32 


65 


97 


i3o 


162 


194 


22 7 


269 


292 




P 


322 a 


32 


64 


97 


129 


161 


193 


225 


268 


290 






320 2 


32 


64 


96 


128 


1 60 


I 9 2 


224 


266 


288 






3x8 * 


32 


64 


96 


127 


169 


I 9 I 


223 


264 


286 






3i6 


32 


63 


9 5 


126 


168 


I 9 


221 


2 53 


284 






3i4 


3i 


63 


9 4 


126 


167 


188 


22O 


261 


283 






312 


3i 


62 


94 


125 


1 56 


187 


218 


260 


281 






3io 


3i 


62 


93 


124 


i55 


186 


2I 7 


248 


279 






3o8 


3i 


62 


92 


123 


i54 


i85 


216 


246 


2 77 






3o6 


3i 


61 


92 


122 


i53 


i84 


214 


245 


2 7 5 






3o4 


3o 


61 


9 1 


122 


162 


182 


213 


243 


2 7 4 






302 


3o 


60 


9 1 


121 


161 


181 


211 


242 


2 7 2 






3oo 


3o 


60 


9 


120 


i5o 


180 


2IO 


240 


2 7 O 






298 


3o 


60 


89 


119 


149 


179 


209 


238 


268 






296 


3o 


69 


89 


118 


i4 


178 


2O 7 


2 3 7 


266 






294 


I 29 


69 


88 


118 


i4 7 


176 


206 


235 


266 





LOGARITHMS OF NUMBERS. 



N. 





1 


2 


3 


4 5 


6 


7 


8 


9 


D. 


i4 9 


178186 


3478 


3769 


4o6o 


435i 


464i 


4982 


6222 


55i2 


58o2 


2 9 1 


i5o 


6091 


638i 


6670 


6969 


7248 


7536 


7826 


8ii3 


84oi 


868 9 


28 9 


161 


8977 


9264 


9662 


9 83 9 


.126 


.4i3 


.699 


.986 


1272 


i558 


28 7 


162 


181844 


2129 


2416 


2700 


2 9 85 


3270 


3555 


383 9 


4l23 


4407 


286 


i53 


4691 


4976 


6269 


5542 


6826 


6io"8 


6891 


66 7 4 


6966 


72 3 9 


2 83 


1 54 


7521 


7 8o3 


8o84 


8366 


8647 


8928 


9209 


9490 


9771 


..5i 


281 


i55 


190332 


0612 


0892 


1171 


i45i 


1780 


2010 


2289 


.2667 


2846 


2 79 


1 56 


3i 2 5 


34o3 


368i 


3 9 5 9 


423 7 


45i4 


479 2 


6069 


5346 


5623 


278 


167 


6900 


6176 


6453 


6729 


7006 


7281 


7 556 


7 83 2 


8107 


838 2 


276 


168 


865 7 


8 9 32 


9206 


948i 


97 55 


..29 


.3o3 


.5 77 


.85o 


1124 


2 7 4 


169 


201897 


1670 


1943 


2216 


2488 


2761 


3o33 


33o5 


35 77 


3848 


272 


1 60 


4l20 


439i 


4663 


4934 


6204 


5475 


5 7 46 


6016 


6286 


6556 


271 


161 


6826 


7096 


7866 


7634 


79o4 


8i 7 3 


844i 


8 7 io 


8979 


9247 


260. 


162 


9 5i5 


9783 


..5i 


.819 


.586 


.853 


I 121 


-388 


i654 


1921 


267 


i63 


212188 


2454 


2720 


2986 


3262 


35x8 


3 7.8 3 


4049 


43i4 


45 7 9 


266 


1 64 


4844 


6109 


5373 


5638 


6902 


6166 


643o 


66 9 4 


6967 


7221 


264 


i65 


7484 


7747 


8010 


8273 


8536 


8798 


9060 


9823 


9686 


9 846 


262 


166 


220108 


0870 


o63i 


0892 


u53 


i4i4 


1676 


i 9 36 


2196 


2456 


261 


167 


2716 


2976 


3236 


3496 


3 7 55 


4oi5 


42 7 4 


4533 


479 2 


5o5i 


269 


1 68 


5309 


5568 


6826 


6o84 


6342 


6600 


6858 


7116 


7372 


7680 


268 


169 


7887 


8:44 


84oo 


8667 


8 9 i3 


9170 


9426 


9682 


99 38 


.i 9 3 


266 


170 


280449 


0704 


0960 


I2l5 


1470 


1724 


1979 


2234 


2488 


2742 


264 


171 


2996 


8260 


35o4 


3 7 5 7 


4oii 


4264 


45i 7 


4 77 o 


5o 2 3 


6276 


253 


172 


5528 


6781 


6o33 


6286 


6687 


6780 


7041 


7 2 9 2 


7544 


77 9 5 


262 


i 7 3 


8o46 


8297 


8548 


8799 


9049 


9 2 99 


9 55o 


9800 


..5o 


.3oo 


260 


1 7 4 


240649 


0799 


"io48 


1297 


1 546 


'79 5 


2044 


2293 


2641 


2 79 o 


249 


i 7 5 


3o38 


8286 


3534 


3782 


4o3o 


4277 


4525 


4 77 2 


5oi 9 


6266 


248 


176 


55i3 


6769 


6006 


6262 


6499 


6 7 45 


6991 


7 23 7 


7482 


7728 


246 


177 


79?3 


8219 


8464 


8709 


8 9 54 


9198 


9443 


9 68 7 


99 3 2 


.176 


245 


178 


260420 


0664 


0908 


1161 


1896 


i638 


1881 


2126 


2368 


2610 


243 


179 


2853 


3096* 


3338 


358o 


3822 


4o64 


43o6 


4548 


479 


5o3i 


242 


180 


52 7 3 


55i4 


5 7 55 


6996 


6237 


6477 


6718 


6968 


7i 9 8 


7 43 9 


Mi 


181 


7679 


7918 


8i58 


8398 


8637 


8877 


9116 






9 833 


2 3 9 


N. 


1 


2 


3 


4 


5 


6 


7 | 8 


9 | D. 




292 


29 


58 


88 


117 


1 46 


176 


204 


234 


268 






290 


29 


58 


87 


116 


1 45 


i 7 4 


203 


232 


261 






288 


29 


58 


86 


n5 


1 44 


i 7 3 


2O2 


230 


269 






286 


29 


57 


86 


n4 


i43 


172 


2OO 


22 9 


25 7 






284 


28 


$7 


85 


n4 


1 42 


170 


199 


227 


266 






282 


28 


56 


85 


n3 


i4i 


169 


197 


226 


264 






280 


28 


56 


84 


112 


i4o 


168 


196 


224 


262 






278 


28 


56 


83 


XII 


I So 


167 


196 


223 


260 






276 


28 


55 


83 


no 


1 38 


iCG 


198 


221 








2 74 ,5 


27 


55 


82 


no 


i3 7 


i64 


191 


2I 9 


24 7 






272 


27 


54 


82 


109 


1 36 


i63 




218 


245 




t 


270 ^ 


27 


54 


81 


1 08 


1 35 


162 




216 


243 




3 


268 i 


27 


54 


80 


107 


1 34 


161 




2*4 


241 




o> . 
$^ 


266 = 


27 


53 


80 


106 


i33 


1 60 


186 


213 


23 9 




| 


264 t 


26 


53 


79 


1 06 


iSa 


168 


186 


211 


238 




& 


262 


26 


52 


79 


106 


i3i 


167 


i83 


210 


236 






260 g 


26 


52 


78 


io4 


i3o 


i56 


182 


208 


s34 






2 58 * 


26 


52 


77 


io3 


129 


i55 


181 


2O6 


232 






266 


26 


5i 


77 


102 


128 


1 54 


1-79 


206 


230 






264 


25 


5i 


76 


IO2 


127 


162 


i 7 8 


203 


22 9 






262 


25 


5o 


76 


101 


126 


161 


176 


202 


22 7 






260 


26 


5o 


75 


IOO 


125 


160 


176 


2OO 


225 






248 


25 


5o 


74 


99 


124 


149 


x?4 


I 9 8 


223 






246 


25 


49 


74 


98 


123 


i48 


172 


I 9 7 


221 




a44 


24 


49 


73 


98 


122 


i46 


171 


i 9 5 


22O 




< 142 


24 


48 


73 


97 


121 


i45 


169 


i 9 4 


218 




*4o 


24 


48 


72 


96 


I2O 


1 44 


168 


I 9 a 


216 





LOGARITHMS OF NUMBERS. 



N. 





1 


2 


3 


4 1 5 


6 


7 


8 


9 


D. 


182 


260071 


o3io 


o548 


0787 


1025 


1263 


i5oi 


1739 


10,76 


22l4 


2 38 


i83 


2461 


2688 


2925 


3:62 


3399 


3636 


38 7 3 


4109 


4346 


4582 


23 7 


1 84 


48i8 


5o54 


5290 


55 2 5 


5 7 6i 


5996 


6232 


646 7 


6702 


6 9 3 7 


235 


i85 


7172 


7406 


7 64i 


7 8 7 5 


8110 


8344 


85 7 8 


8812 


9 o46 


9 2 79 


234 


186 


9 5i3 


9 7 46 


9980 


.213 


.446 


.679 


. 9 I2 


n44 


i3 77 


1609 


233 


187 


271842 


2074 


23o6 


2538 


2770 


3ooi 


3233 


3464 


36 9 6 


3 9 2 7 


232 


188 


4i58 


438 9 


4620 


485o 


5o8i 


53u 


5542 


5 77 2 


6002 


6232 


230 


189 


6462 


6692 


6921 


7 i5i 


738o 


76o 9 


7838 


8067 


8296 


8525 


2? 9 


190 


8 7 54 


8982 


9211 


943 9 


9667 


9 8 9 5 


.123 


.35i 


5 7 8 


.8e6 


228 


191 


2 8io33 


1261 


i488 


1715 


1942 


2i6 9 


23 9 6 


2622 


2849 


3o 7 5 


227 


192 


33oi 


352 7 


3 7 53 


3979 


42o5 


443 1 


4656 


4882 


5107 


5332 


226 


i 9 3 


555 7 


5782 


6007 


6232 


6456 


6681 


6 9 o5 


7 i3o 


7354 


7 5 7 8 


225 


194 


7802 


8026 


8249 


8473 


8696 


8 9 2O 


9 i43 


9366 


9 58 9 


9 8l2 


223 


196 


290035 


0257 


o48o 


0702 


0925 


1147 


i36 9 


iSgi 


i8i3 


2034 


222 


196 


2266 


2478 


2699 


2920 


3i4i 


3363 


3584 


38o4 


4o25 


4246 


221 


197 


4466 


468 7 


4907 


5127 


534 7 


556 7 


5 7 8 7 


6007 


6226 


6446 


22O 


198 


6665 


6884 


7104 


7. 3 2 3 


7542 


7761 


7979 


8198 


84:6 


8635 


2I 9 


199 


8853 


9071 


9289 


9607 


9725 


99 43 


.161 


.378 


.5 9 5 


.8i3 


218 


200 


3oio3o 


1247 


i464 


1681 


1898 


2Il4 


233i 


2547 


2764 


2 9 8o 


217 


201 


3196 


3412 


36 2 8 


3844 


4o5 9 


4275 


44 9 i 


4706 


4 9 2I 


5i36 


216 


2O2 


535i 


5566 


5 7 8i 


5 99 6 


6211 


6425 


663 9 


6854 


7068 


7282 


214 


203 


7496 


7710 


7924 


8i3 7 


835i 


8564 


8778 


8991 


9 204 


9 4i 7 


213 


204 


963o 


9 843 


..56 


.268 


.481 


.6 9 3 


. 9 o6 


1118 


i33o 


1 542 


212 


205 


311754 


1966 


21 77 


2389 


2600 


2812 


3d23 


3234 


3445 


3656 


211 


206 


386 7 


4o 7 8 


4289 


44 99 


4710 


4 9 20 


5i3o 


534o 


555i 


5 7 6o 


2IO 


207 


6970 


6180 


6390 


65 99 


6809 


70l8 


7227 


7436 


7 646 


7854 


2O 9 


208 


8o63 


8272 


848 1 


868 9 


8898 


9 io6 


9 3i4 


9522 


97 3o 


99 38 


208 


209 


32oi46 


o354 


o562 


0769 


0977 


1184 


i3 9 i 


iSgS 


i8o5 


2OI2 


207 


210 


2219 


2426 


2633 


283 9 


3o46 


3252 


3458 


3665 


38 7 i 


40 77 


2O6 


211 


4282 


4488. 


46 9 4 


48 99 


5io5 


53io 


55i6 


5 7 2i 


5 9 26 


6i3i 


2O5 


212 


6336 


654i 


6 7 45 


6950 


7 i55 


7 35 9 


7 563 


7767 


797 2 


8176 


2O4 


2l3 


838o 


8583 


8787 


8991 


9194 


9 3 9 8 


9 6oi 


9805 


...8 


.211 


203 


2l4 


33o4i4 


0617 


0819 


IO22 


.1225 


1427 


i63o 


i832 


2034 


2236 


2O2 


2l5 


2438 


2640 


2842 


3o44 


3246 


3447 


364 9 


385o 


4o5i 


4253 


202 


216 


4454 


4655 


4856 


5o5 7 


5 2 5 7 


5458 


5658 


585 9 


6o5 9 


6260 


2OI 


217 


646o 


6660 


6860 


7060 


7260 


7 45 9 


7 65 9 


7 858 


8o58 


8257 


2OO 


2I 8 


8456 


8656 


8855 


9054 


9253 


9 45i 


9 65o 


9849 


..4 7 


.246 


I 99 


219 


34o444 


0642 


0841 


io3 9 


1237 


i435 


i632 


i83o 


2028 


2225 


I 9 8 


220 


2423 


2620 


2817 


3oi4 


3212 


34o 9 


36o6 


38o2 


3 999 


4i 9 6 


I 97 


N. 





1 


2 


3 


4 


5 


6 


7 


8 


9 


D. 




238 


' 24 


48 


7i 


9 5 


^i 9 


i43 


167 


I 9 O 


214 






236 


24 


47 


7i 


94 


118 


i4a 


i65 


189 


212 






234 


23 


4? 


70 


94 


117 


i4o 


1 64 


187 


211 






232 


23 


46 


70 


9 3 


lie 


i3 9 


162 


186 


20 9 






230 


23 


46 


69 


9 2 


u5 


i38 


161 


1 84 


207 






228 


23 


46 


68 


9 1 


n4 


i3 7 


160 


182 


205 






226 


23 


45 


68 


9 


n3 


i36 


i58 


181 


203 






224 


22 


45 


67 


9 


112 


1 34 


i5 7 


179 


2O2 




o5 


222 e3 


22 


44 


67 


89 


III 


i33 


i55 


178 


2OO 




8 


22O ^ 


22 


44 


66 


88 


no 


132 


1 54 


176 


I 9 8 




C 


"3 






















CD 


3 






















tS ' 


218 < 


22 


44 


65 


87 


io 9 


i3i 


i53 


i 7 4 


i 9 6 




(g 


216 1 


22 


43 


65 


86 


1 08 


i3o 


i5i 


I 7 3 


i 9 4 






214 & 


21 


43 


64 


86 


107 


128 


i5o 


i 7 i 


I 9 3 






212 


21 


42 


64 


85 


106 


127 


i48 


I 7 O 


I 9 i 






210 


21 


42 


63 


84 


io5 


126 


i4 7 


1 68 


i8 9 






208 


21 


42 


62 


83 


104 


125 


i46 


166 


187 






206 


21 


4i 


62 


82 


io3 


124 


1 44 


i65 


i85 






2O4 


2O 


4i 


61 


82 


IO2 


122 


i43 


i63 


1 84 






2O2 


20 


4o 


61 


81 


IOI 


121 


i4i 


162 


182 






200 


2O 


4o 


60 


80 


100 


120 


i4o 


1 60 


1 80 






198 


2O 


4o 


5 9 


79 


99 


II 9 


i3 9 


1 58 


178 





LOGARITHMS OP .NUMBERS. 



N. 





1 


2 


3 


4 


5 


6 


7 


8 


9 


D. 


221 


344392 


458 9 


4 7 85 


4 9 8i 


5178 


53 7 4 


55 7 o 


5766 


5962 


6i5 7 


i 9 6 


. 222 


6353 


654 9 


6 7 44 


6 9 3 9 


7i35 


7 33o 


7 5 2 5 


7720 


79 i5 


8110 


i 9 5 


223 


83o5 


85oo 


86 9 4 


888 9 


9 o83 


9278 


9 472 


9 666 


9 86o 


..54 


1 9 4 


224 


35o248 


0442 


o636 


o82 9 


1023 


1216 


i4io 


i6o3 


i 79 6 


1989 


i 9 3 


225 


2i83 


2 3 7 5 


2568 


2761 


2 9 54 


3i47 


333 9 


3532 


3 7 24 


3 9 i6 




226 


4io8 


43oi 


44 9 3 


4685 


48 7 6 


5o68 


5260 


5452 


5643 


5834 


192 


22 7 


6026 


621-7 


64o8 


65 99 


67 9 o 


6981 


7172 


7363 


7 554 


7744 


191 


228 


79 35 


8i 2 5 


83i6 


85o6 


86 9 6 


8886 


9 o 7 6 


9 266 


9 456 


9646 


I 9 


22 9 


- 9 835 


..25 


.215 


4o4 


.5 9 3 


. 7 83 


972 


1161 


i35o 


i53 9 


189 


230 


36i 7 28 


191-7 


2105 


22 9 4 


2482 


2671 


285 9 


3o48 


3236 


3424 


188 


23l 


36i2 


38oo 


3 9 88 


4176 


4363 


455i 


4 7 3 9 


4 9 26 


5u3 


53oi 




232 


5488 


56 7 5 


5862 


6o4 9 6236 


6423 


6610 


67 9 6 


6 9 83 


7 l6 9 


187 


233 


7 356 


7 542 


772 9 


7 9 i5 


8101 


8287 


8473 


865 9 


8845 




186 


234 


9216 


9401 


9 58 7 


9772 


99 58 


.143 


.3 2 8 


.5i3 


.6 9 8 


.883 


i85 


235 


3 7 io68 


1253 


i43 7 


1622 


1806 


1991 


2175 


236o 


2544 


2 7 28 


1 84 


236 


2912 


3096 


3 2 8o 


3464 


3647 


383i 


4oi5 


4i 9 8 


4382 


4565 




23 7 


4748 


4932 


5u5 


5 29 8 


548i 


5664 


5846 


6o2 9 


6212 


63 9 4 


i83 


238 


65 77 


6 7 5 9 


6 9 42 


7124 


73o6 


7 488 


7670 


7852 


8o34 


8216 


182 


23 9 


83 9 8 


858o 


8761 


8 9 43 


9 I24 


93o6 


9 48 7 


9 668 


9 84 9 


..3o 


181 


240 


38o2ii 


o3 9 2 


o5 7 3 


o 7 54 


o 9 34 


in5 


I2 9 6 


1476 


i656 


i83 7 




241 


201 7 


2197 


2377 


2 55 7 


2737 


2917 


3o 97 


3277 


3456 


3636 


180 


242 


38i5 


3 99 5 


4i74 


4353 


4533 


4712 


48 9 i 


5070 


524 9 


5428 


I 79 


243 


56o6 


5 7 85 


5 9 64 


6142 


632i 


6499 


6677 


6856 


7 o34 


7212 


178 


344 


7 3 9 o 


7 568 


7746 


79 23 


-8101 


8279 


8456 


8634 


8811 


8989 




245 


9166 


9 343 


9 520 


9 6 9 8 


9 8 7 5 




.228 


.4o5 


.582 




177 


246 


390935 


III2 


1288 


i46 


i64i 


1817 


i 99 3 


2i6 9 


2345 


252? 


i 7 6 


24 7 


269-7 


28 7 3 


3o48 


3224 


34oo 


35 7 5 


3751 


3 9 26 


4ioi 


42 77 




248 


4452 


462-7 


4802 


4977 


5i5 2 


5326 


55oi 


5676 


585o 


6o25 


i 7 5 


24 9 


6199 


63 7 4 


6548 


6722 


68 9 6 


7071 


7245 


7 4i 9 


7 5 9 2 


77 66 


174 


25o 




8n4 828-7 


846 1 


8634 


8808 


8 9 8i 


9 i54 




95oi 


i 7 3 


2 5i 


96 7 4 


9 84 7 ..20 


. I 9 2 


.365 


.538 


.711 


.883 


?o56 


1228 




' 253 


4oi4oi 


i5 7 3 


1745 


I9Z7 


2o8 9 


2261 


2433 


26o5 


2777 


2949 


171 


2 53 


3l2I 


32 9 3 


3464 


3635 


3807 


3 97 8 


4i4 9 


4320 


44 9 2 


4663 


1-71 


2 54 


48,34 


5oo5 


5i 7 6 


5346 


55i 7 


5688 


5858 


6o2 9 


6i 99 


63 7 o 




255 


654o 


6710 


6881 


7 o5i 


7221 


7 3 9I 


7 56i 


7731 


79 oi 


80-70 


170 


256 


8240 


84io 85 79 


8 7 4 9 


8 9 i8 




9 25 7 


0.426 


9 5 9 5 


97 6 4 


i6 9 


25 7 


99 33 


.102 .271 


44o 


.6o 9 


777 


9 46 


in4 


1283 


i45i 




258 


411620 


1788 i 9 56 


2124 


22 9 3 


2461 


262 9 


2 79 6 


2964 


3i32 


168 


25 9 


33oo 


3467 3635 


38o3 


3970 


4i3 7 


43o5 


4472 


463 9 


48o6 


167 


260 


4 97 3 


5i4o 53o 7 


5474 


564i 


58o8 


5 97 4 


6i4i 


63o8 


6474 




261 


664i 


680-7 6 97 3 


7i3 9 


7 3o6 


74 7 2 


7 638 


7804 


7970 


8i35 


1 66 


262 


83oi 


846 7 : 8633 


87 9 8 


8 9 64 


9 I2 9 


9 2 9 5 


9 46o 


9 625 


9791 


i65 


263 


9956 


.121 j .286 


.45i 


.616 


.781 


. 9 45 


II IO 


1275 


i43 9 




N. 


G 


1 


2 


3 


4 


5 


6 


7 


8 


9 


D. 




196 


20 


3 9 


5 9 


78 


98 


118 


i3 7 


i5 7 


176 






194 


J 9 


3 9 


58 


78 


97 


116 


1 36 


i55 


i 7 5 






192 


i 9 


38 


58 


77 


96 


u5 


1 34 


1 54 


i 7 3 






190 


i 9 


38 


57 


76 


9 5 


n4 


1 33 


1 59 


171 






188 


i 9 


38 


56 


75 


94 


n3 


I 32 


i5o 


169 






186 g 


9 


37 


56 


74 


93 


112 


I So 


1 49 


i6 7 




i 


1 84 c 


18 


3 7 


55 


74 


9 2 


110 


129 


i4 7 


166 






o 


182 -3 


18 


36 


55 


73 


9 1 


I0 9 


12-7 


i46 


1 64 




I- 


180 


18 


36 


54 


72 




1 08 


126 


i44 


162 




I 


178 


18 


36 


53 


7 1 


8 9 


I0 7 


125 


1 49 


1 60 




s 


176 g. 


18 


35 


53 


70 


88 


106 


123 


i4i 


1 58 






174 Pk 


17 


35 


52 


70 


87 


io4 


122 


1 3 9 


i5 7 






172 


X 7 


34 


52 


69 


86 


io3 


I2O 


1 38 


i55 






170 


i 7 


34 


5i 


68 


85 


102 


II 9 


i36 


i53 






1 68 


1 7 


34 


5o 


67 


84 


IOI 


118 


1 34 


i5i 






1 66 


17 


33 


5o 


66 


83 


IOO 


116 


i33 


i4 9 




Ii64 


16 


33 


49 


66 


82 


9 8 


n5 i3i 


1 48 





LOGARITHMS OF NUMBERS. 



N. 





1 


2 


3 


4 


5 


6 


7 


8 


9 


D. 


264 


421604 


1768 


1933 


2097 


2261 


2426 


25 9 o 


2 7 54 


2 9 l8 


3o82 


1 64 


265 


3246 


34io 


35 7 4 


3 7 3 7 


3 9 oi 


4o65 


4228 


43 9 2 


4555 


4718 




266 


4882 


5o45 


5208 


53 7 i 


5534 


56 97 


586o 


6023 


6186 


634 9 


i63 


267 


65ii 


66 7 4 


6836 


6999 


7161 


7 324 


7486 


7 648 


7811 


7973 


162 


268 


8i35 


8297 


845 9 


8621 


8 7 83 


8 9 44 


9 io6 


0,268 


9 42 9 


9 5 9 i 




269 


9752 


9914 


..75 


.236 


.3 9 8 


.55 9 


.720 


.881' 


1042* 


1203 


161 


270 


43i364 


i525 


i685 


1846 


2007 


2167 


2328 


2488 


264 9 


28o 9 




271 


2969 


3i3o 


3290 


345o 


36io 


3 77 o 


3 9 3o 


4o 9 o 


4249 


44o 9 


1 60 


272 


4569 


.4729 


4888 


5o48 


5207 


536 7 


5526 


5685 


5844 


6oo4 


169 


2 7 3 


6i63 


6322 


648 1 


664o 


6799 


6 9 5 7 


7116 


7 2 7 5 


7 433 


7 5 9 2 




2 7 4 


77 5i 


7909 


8067 


8226 


8384 


8542 


8701 


885 9 


9 oi7 


9 J 7 5 


1 58 


276 


9 333 


9491 


9648 


9806 


9964 


. 122 


2 79 


.43 7 


5 9 4 


.752 




276 


440909 


1066 


1224 


1 38 1 


i538 


i6 9 5 


i852 


20O 9 


2166 


2323 


i5 7 


277 


2^80 


263 7 


2 79 3 


2 9 5o 


3io6 


3263 


34i9 


35 7 6 


3 7 3 2 


388 9 




278 


4o45 


4201 


435 7 


45i3 


466 9 


4825 


4g8i 


5i3 7 


52 9 3 


544 9 


i56 


279 


56o4 


5760 


5 9 i5 


6o 7 i 


6226 


6382 


653 7 


66 9 2 


6848 


7003 


i55 


280 


7 i58 


7 3i3 


7 468 


7623 


7778 


79 33 


8088 


8242 


83 97 


8552 




281 


8706 


8861 


9015 


9170 


9 324 


9 4 7 8 


9 633 


9787 


99 4i 


.. 9 5 


1 54 


282 


450249 


o4o3 


o55 7 


0711 


o865 


1018 


1172 


i326 


i4 79 


i633 




283 


1786 


1940 


2093 


2247 


2400 


2553 


2706 


285 9 


3012 


3i65 


i53 


284 


33i8 


347i 


3624 


3 777 


3 9 3o 


4082 


4235 


438 7 


454o 


46 9 2 




286 


4845 


4997 


5i5o 


5302 


5454 


56o6 


5 7 58 


5 9 io 


6062 


6214 


I 52 


286 


6366 


65i8 


6670 


6821 


6 97 3 


7 I25 


7276 


7 428 


7 5 79 


77 3i 




287 


7882 


8o33 


8:84 


8336 


848 7 


8638 


8789 


8 9 4o 


9 o 9 i 


9 242 


i5i 


288 


9392 


9 543 


9694 


9 845 


999 5 


.i46 


.296 


44 7 


.5 9 7 


748 




289 


460898 


io48 


1198 


1 348 


1499 


i64 9 


1799 


i 9 48 


2O 9 8 


2248 


i5o 


290 


2398 


2548 


2697 


2847 


2997 


3i46 


3296 


3445 


35 9 4 


3744 




291 


38 9 3 


4042 


4191 


434o 


4490 


463 9 


4788 


4 9 36 


5o85 


5 2 34 


i4 9 


292 


5383 


5532 


568o 


5829 


5 977 


6126 


6274 


6423 


65 7 i 


6719 




298 


6868 


7016 


7 i64 


?3l2 


7 46o 


7 6o8 


7756 


79 o4 


8o52 


8200 


1 48 


294 


8347 


8495 


8643 


8790 


8 9 38 


9 o85 


9 233 


9 38o 


9 5 27 


9 6 7 5 




295 


9822 


9969 


.116 


.263 


4io 


.55 7 


.704 


.85 t 


998 


n45 


i4 7 


296 


471292 


i438 


i585 


1732 


i8 7 8 


2O25 


2171 


23i8 


2464 


2610 




297 


2756 


2903 


3o49 


3195 


334i 


348 7 


3633 


3779 


3 9 25 


4071 


i46 


298 


4216 


4362 


45o8 


4653 


4 799 


4 9 44 


Sogo 


5235 


538i 


55 2 6 




299 


56 7 i 


58i6 


5962 


6107 


6252 


63 97 


6542 


6687 


6832 


6 97 6 


i45 


3 oo 


7121 


7266 


74 ii 


7 555 


77 oo 


7 844 


7989 


8i33 


8278 


8422 




3oi 


8566 


8711 


8855 


8999 


9 i43 


9 28 7 


943i 


9 5 7 5 


9719 


9 863 


1 44 


302 


480007 


oi5i 


0294 


o438 


o582 


O 7 25 


0869 


1012 


n56 


I2 99 




3o3 


i443 


i586 


1729 


1872 


2016 


2i5 9 


2302 


2445 


2588 


2 7 3l 


i43 


3o4 


2874 


3oi6 


3i5 9 


3302 


3445 


358 7 


3 7 3o 


38 7 2 


4oi5 


4i5 7 




3o5 


43oo 


4442 


4585 


4727 


4869 


Son 


5i53 


52 9 5 


5437 


55 79 


i4a 


3o6 


5721 


5863 


6oo5 


6i4 7 


6289 


643o 


6572 


6 7 i4 


6855 


6997 




3o 7 


7 i38 


7280 


7421 


7 563 


77 o4 


7845 


7986 


8l2 7 


8260. 


84io 


i4i 


3o8 


855i 


8692 


8833 


8 97 4 


9114 


9 255 


9 3 9 6 


9 53 7 


9 6 77 


9 8i8 




SOQ 


99 58 


99 


.239 


.38o 


.520 


.661 


.801 


. 9 4i 


1081 


1222 


i4o 


3io 


491362 


i5o2 


1 642 


1782 


1922 


2062 


22OI 


2 34i 


248 1 


2621 




3u 


2760 


2900 


3o4o 


3i 79 


33i 9 


3458 


35 9 7 


3 7 3 7 


38 7 6 


4oi5 


i3 9 


N. 





1 


2 


3 4 || 5 


6 


7 


8 


9 


D. 




162 


r 16 


32 


49 


65 


81 


97 


213 


i3o 


i46 






160 


16 


32 


48 


64 


80 


96 


112 


128 


i44 






i58 


iQ 


32 


4? 


63 


79 


9 5 


III 


126 


i4a 







i56 


16 


3i 


4? 


62 


78 


94 


IO 9 


125 


i4o 






(0 


1 54 PH 


i5 


3i 


46 


62 


77 


92 


108 


123 


i3 9 




I 


l52 "S 


i5 


3o 


46 


61 


76 


9 1 


106 


122 


i3 7 




1' 


I5o| 


i5 


3o 


45 


60 


75 


9 


io5 


I2O 


x35 




P"* 


1 48 fc 


i5 


3o 


44 


5 9 


74 


8 9 


io4 


*l8 


i33 






i46 % 


i5 


29 


44 


58 


73 


* 88 


102 


117 


i3i 






i44 


i4 


29 


43 


58 


72 


86 


101 


u5 


i3o 






i4a 


i4 


28 


43 


57 


7i 


85 


99 


n4 


128 






i4o 1 4 


28 


42 


56 


70 


84 


98 


112 


126 





LOGARITHMS OF NUMBERS. 



N. 





I 2 


3 


4 


5 


6 


7 


8 


9 


D. 


312 


4 9 4i55 


42 9 4 


4433 


45 7 2 


4711 


485o 


4 9 8 9 0128 


526 7 


54o6 


i3 9 


3i3 


5544 


5683 


5822 


5 9 6o 


6o 99 


6238 


63 7 6 65i5 


6653 


6 79 i 




3i4 


6 9 3o 


-7068 


7206 


7 344 


7483 


7621 


77 5 9 7 8 97 


8o35 


8i 7 3 


1 38 


3i5 


83n 


8448 


8586 


8 7 24 


8862 


8999 


9 i3 7 9 2 7 5 


9412 


9 55o 




3i6 


9 68 7 


9 824 


99 62 


99 


.236 


.3 7 4 


.5n .648 


. 7 85 


. 9 22 


i3 7 


3i 7 


5oio5 9 


n 9 6 


i333 


i4 7 o 


i6o 7 


1 7 44 


i860 ! 20I 7 


2i54 


22 9 I 




3i8 


242 7 


2564 


2700 


283 7 


2973 


3109 


3246 


2382 


35i8 


3655 


i36 


3i 9 


3 79 i 


3927 


4o63 


4199 


4335 


4471 


4607 


4743 


48 7 8 


5oi4 




320 


5i5o 


5 2 86 


5421 


555 7 


56 9 3 


58 2 8 


5 9 64 


6o 99 


6234 


63 7 o 




321 


65o5 


664o 


6776 


6 9 n 


7 o46 


7181 


7 3i6 


745i 


7 586 


772i 


i35 


322 


7 856 


799 1 


8126 


8260 


83 9 5 


853o 


8664 


8799 


8 9 34 


9 o68 




323 


9 2o3 


9 33 7 


9471 


9 6o6 


97 4o 


9874 


. . . 9 


.i43 


2 7 7 


.4n 


1 34 


324 


5io545 


o6 79 


o8i3 


o 9 4 7 


1081 


I2l5 


i34 9 


1482 


1616 


i 7 5o 




325 


i883 


2OI 7 


2l5l 


2284 


2418 


255i 


2684 


2818 


2 9 5i 


3o84 


i33 


326 


32i8 


335i 


3484 


36i 7 


3 7 5o 


3883 


4oi6 


4i4 9 


4282 


44i5 




32 7 


4548 


468 1 


48i3 


4 9 46 


5o 79 


5211 


5344 


5476 


56o 9 


5 7 4i 




328 


58 7 4 


6006 


6i3 9 


62 7 I 


64o3 


6535 


6668 


6800 


6 9 3 3 


7 o64 


132 


32 9 


-7196 


7 328 


7460 


7 5 9 2 


77 24 


7 855 


7987 


8ii 9 


825i 


8382 




33o 


85i4 


8646 


8777 


8 9 o 9 


9 o4o 


9171 


9 3o3 


9 434 


9566 


9 6 97 


i3i 


33i 


9 828 


99 5 9 


.. 9 o 


.221 


.353 


484 


.6i5 


.745 


.8 7 6 


I00 7 




332 


52ii38 


I26 9 


i4oo 


i53o 


1661 


1792 


I 9 22 


2o53 


2i83 


23l4 




333 


2444 


2 5 7 5 


2 7 o5 


2835 


2 9 66 


3096 


3226 


3356 


3486 


36i6 


i So 


334 


3 7 46 


38 7 6 


4oo6 


4:36 


4266 


43 9 6 


4526 


4656 


4 7 85 


4 9 i5 




335 


5o45 


5i 7 4 


53o4 


5434 


5563 


56 9 3 


5822 


5 9 5i 


6081 


6210 


I2 9 


336 


633 9 


646 9 


65 9 8 


6 7 2 7 


6856 


6 9 85 


7 n4 


7243 


7 3 7 2 


7 5oi 




33 7 " 


7 63o 


77 5 9 


7 888 


8016 


8i45 


8274 


8402 


853i 


8660 


8 7 88 




338 


8 9 i 7 


9 o45 


9 i 7 4 


9 3C2 


9 43o 


9 55 9 


9 68 7 


98 i 5 9943 


.. 7 2 


128 


33 9 


53o2oo 


o328 


o456 


o584 


7 I2 


o84o 


o 9 68 


1096 


1223 


i35i 




34o 


i4 79 


i6o 7 


i 7 34 


1862 


I 99 


2117 


2245 


23 7 2 


2500 


2627 




34i 


2754 


2882 


3oo 9 


3i36 


3264 


33 9 i 


35i8 


3645 


3772 


38 99 


I2 7 


342 


4026 


4i53 


4280 


44o 7 


4534 


466i 


4787 


4914 


5o4i 


5i6 7 




343 


52 9 4 


542i 


554 7 


56 7 4 


58oo 


5 9 2 7 


6o53 


6180 


63o6 


6432 


126 


344 


6558 


6685 


6811 


6 9 3 7 


7 o63 


7 i8 9 


7 3i5 


7 44i 


7 56 7 


7 6 9 3 




345 


7819 


79 45 


8o 7 i 


8i97 


8322 


8448 




8699 8825 


8 9 5i 




346 


90 7 6 


9 2O2 


9327 


9 45 2 


9 5 7 8 


97 3 


9 82 9 99 54 . .79 


.204 


125 


34 7 


54o32 9 


o455 


o58o 


o 7 o5 


o83o 


o 9 55 


1080 i2o5 


i33o 


1454 




348 


i5 79 


i 7 o4 


i82 9 


i 9 53 


20 7 8 


22O3 


232 7 


2452 


2 5 7 6 


2 7 OI 




34 9 


2825 


2 9 5o 


3o 7 4 


3i 99 


3323 


344 7 


35 7 i 


3696 


3820 


3 9 44 


124 


35o 


4o68 


4l 9 2 


43i6 


444o 


4564 


4688 


4812 


4 9 36 


5o6o 


5i83 




35i 


53o 7 


543 1 


5555 


56 7 8 


58o2 


5 9 25 


6o4 9 


61-72 


6296 


64i 9 




352 
353 


6543 
777 5 


6666 
7808 


6 7 8 9 
8021 


6 9 i3 

8i44 


7 o36 

826 7 


7 i5 9 
838 9 


-7282 
85i2 


7 4o5 
8635 


I'll 


7652 

8881 


123 


354 


9 oo3 


9 I26 


9 24 9 


9 3 7 i 


9 4 9 4 


9 6i6 


9739 


9861 


9984 


.106 




355 


550228 


o35i 


o4 7 3 


o5 9 5 


7 I 7 


o84'o 


O 9 62 


io84 


1206 


i328 


122 


356 


i45o 


1572 


i6 9 4 


1816 


i 9 38 


2060 


2181 


2 3o3 


2425 


254 7 




35 7 


2668 


2 79 


2 9 II 


3o33 


3i55 


32 7 6 


33 9 8 i 35i 9 364o 


3 7 62 


121 


358 


3883 


4oo4 


4126 


424 7 


4368 


448 9 


46io 4 7 3i 4852 


4 97 3 




35 9 


5o 9 4 


52i5 


5336 


545 7 


55 7 8 


56 99 


5820 5 9 4o 6061 


6182 




36o 


63o3 


6423 


6544 


6664 


6785 




-7026 7 i46 7 26 7 


7 38 7 


120 


36i 


7 5o 7 


7627 


77 48 


-7868- 


7988 


"8108 


8228 ' 834 9 846 9 


858 9 




N. 





1 


2 


3 


4 


5 


6 


7 


8 


9 


D. 




1 38 


i4 


28 


4i 


55 


6^ 


8.3 


97 


IIQ 


124 






i36 oj 


i4 


2 7 


4i 


54 


68 


82 


9 5 


109 


122 






1 34 S 


i3 


27 


4o 


54 


6 7 


80 


94 


10-7 


121 







132 PL- 


i3 


26 


4o 


53 


66 


79 


92 


!06 


119 




c 


i3o "5 


i3 


26 


39 


52 


65 


78 


9 1 


io4 


l! 7 




1 ' 


128 |' 


i3 


26 


38 


Si 


64 


77 


9 


1 02 


Il5 




5 


126 o 


i3 


25 


38 


5o 


63 


76 


88 


101 


n3 




P 


124 f 


12 


25 


37 


5o 


62 


74 


87 


99 


112 




1122 


12 


24 


37 


49 


61 


73 


85 


98 


110 




120 


12 


24 


36 


48 


60 


72 


84* 


96 


1 08 





LOGARITHMS OF NUMBERS. 



. N. 





1 


2 


3 


4 


5 


6 


7 


8 


9 


D. 


; 362 


558 7 o9 


8829 


8948 


9068 


9 i88 


9 3o8 


9 428 


9 548 


9 66 7 


9787 


120 


363 


9907 


..26 


.i46 


.265 


.385 


.5o4 


.624 


. 7 43 


.863 


. 9 &2 




364 


56noi 


1221 


i34o 


i459 


1578 


i6 9 8 


1817 


1936 


2o55 


2I 7 4 


1I 9 


365 


2293 


24l2 


253i 


265o 


2 7 6 9 


288 7 


3oo6 


3i25 


3244 


3362 




366 


348i 


36oo 


3 7 i8 


3837 


3 9 55 


4o 7 4 


4l 9 2 


43n 


442 9 


4548 




56 7 


4666 


4784 


4903 


5O2I 


5i3 9 


5 2 5 7 


53 7 6 


5494 


56i2 


5 7 3o 


118 


368 


5848 


5 9 66 


6o84 


6202 


6320 


643 7 


6555 


66 7 3 


679,1 


6 9 o 9 




369 


7026 


7i44 


7262 


7 3 79 


7497 


7 6i4 


7732 


7 84 9 


79 6 7 


8084 




3 7 o 


8202 


8319 


8436 


8554 


86 7I 


8 7 88 


8 9 o5 


9023 


9 i4o 


9 25 7 


117 


3 7 i 


9 3 7 4 


9491 


9608 


9725 


9 842 


99 5 9 


..76 


.193 


.3o 9 


.426 




3 7 2 


5 7 o543 


0660 


0776 


o8 9 3 


IOIO 


1126 


1243 


1359 


1476 


l5 9 2 




3 7 3 


I 79 


1825 




2o58 


2I 7 4 


22 9 I 


240 7 


2523 


263 9 


2 7 55 


116 


3 7 4 


2872 


2988 


3io4 


3220 


3336 


3452 


3568 


3684 


38oo 


3 9 i5 




3 7 5 


4o3i 


4i47 


4263 


43 7 9 


44 9 4 


46io 


4 7 26 


484i 


4 9 5 7 


5o 7 2 




3 7 6 


5i88 


53o3 


54i9 


5534 


565o 


5 7 65 


588o 


5 99 6 


6m 


6226 


n5 


377 


634i 


645 7 


65 7 2 


6687 


6802 


6 9 i 7 


7 o32 


7 i4 7 


7262 


7377 




3 7 8 


7 4 9 2 


7607 


77 22 


7836 


79 5i 


8066 


8181 


82 9 5 


84io 


8525 




379 


863 9 


8 7 54 


8868 


8 9 83 


997 


O2I2 


9 3 2 6 


9 44i 


9 555 


9 66 9 


n4 


38o 


9 784 


9898 


. .12 


. 126 


.241 


.355 


46 9 


.583 


.6 9 7 


.811 




38i 


58o 9 25 


1039 


u53 


1267 


i38i 


i4 9 5 


1608 


I 7 22 


i835 


i 9 5o 




382 


2o63 


2I 77 


2291 


2404 


2 5i8 


263i 


2745 


2858 


2 9 72 


3o85 




383 


3io 9 


33i2 


3426 


N 353 9 


3652 


3 7 65 


38 79 


3 99 2 


4io5 


4218 


n3 


384 


433i 


4444 


455 7 


4670 


4 7 83 


48 9 6 


5oo 9 


5l22 


5235 


5348 




385 


546i 


55 7 4 


5686 


5 799 


5 9 I2 


6024 


6i3 7 


625o 


6362 


6475 




386 


658 7 


6700 


6812 


6 9 25 


7 o3 7 


7 i4 9 


7262 


7 3 7 4 


7 486 


7 5 99 


112 


38 7 


7711 


7 8 2 3 


7935 


8047 


8160 


82 7 2 


8384 


84 9 6 


8608 


8720 




388 


8832 


8944 


9 o56 


9 l6 7 


9 2 79 


9 3 9 i 


9 5o3 


9 6i5 


9726 


9 838 




38 9 


99 5o 


..61 


.I 7 3 


.284 


.3 9 6 


.5o 7 


.6i 9 


. 7 3o 


.842 


. 9 53 




Sgo 


5 9 io65 


1176 


1287 


i3 99 


i5io 


1621 


I 7 32 


i843 


i 9 55 


2066 


III 


391 


2177 


2288 


23 99 


25lO 


2621 


2 7 32 


2843 


2 9 54 


3o64 


3i 7 5 




392 


3286 


33 97 " 


3 5 08 


36i8 


3729 


384o 


3 9 5o 


4o6i 


4i 7 i 


4282 




3 9 3 


43 9 3 


45o3 


46i4 


4724 


4834 


4 9 45 


5o55 


5i65 


52 7 6 


5386 


110 


3 9 4 


54 9 6 


56o6 


6717 


582 7 


5 9 3 7 


6047 


6i5 7 


626 7 


63 77 


648 7 




3 9 5 


65 97 


6707 


6817 


6 9 2 7 


7 o3 7 


7146 


7 256 


7 366 


7 4 7 6 


7 586 




3 9 6 


7 6 9 5 


7 8o5 


7 9 i4 


8024 


8i34 


8243 


8353 


846a 


85 7 2 


8681 




3 97 


8 79 i 


8900 


9009 


9119- 


0.228 


9337 


9 446 


9 556 


9 665 


9774 


100 


3 9 8 


9 883 


9992 


.101 


.210 


.319 


.428 


.53 7 


.646 


. 7 55 


.864 




399 


6oo 9 73 


1082 


1191 


I2 99 


i4o8 


i5i7 


1620 


1734 


i843 


i 9 5r 




4oo 


2060 


2169 


2277 


2386 


24 9 4 


a6o3 


2 7 II 


28i 9 


2928 


3o36 


108 


4oi 


3i4'4 


3253 


336i 


346 9 


35 77 


3686 


3 79 4 


3 9 02 


4oio 


4n8 




4O2 


4226 


4334 


4442 


455o 


4658 


4766 


48 7 4 


4 9 82 


5089 


5i97 




4o3 


53o5 


54i3 


552i 


5628 


5 7 36 


5844 


5 9 5i 


6o5 9 


6166 


62 7 4 




4o4 


638i 


648 9 


6596 


6704 


6811 


6 9 i 9 


7 026 


7 i33 


7241 


7 348 


io 7 


4o5 


7455 


7562 


7669 


7777 


7 884 


799 1 


8o 9 8 


82o5 


83i2 


8419 




4o6 


8526 


8633 


8 7 4o 


8847 


8 9 54 


9 o6i 


9167 


9 274 


9 38i 


9 488 




4o 7 


9 5 9 4 


9701 


9808 


99 i4 ..21 


.128 


.234 


.34i 


44 7 


.554 




4o8 


610660 


0767 


0873 


o 9 7 9 1086 


II 9 2 


1298 


i4o5 


i5n 


i6i 7 


1 06 


N. 





1 


2 


3 


4 


5 


6 


7 


8 


9 


D. 




n 9 


12 


24 


36 


48 


60 


7 J 


83 


9 5 


10-7 






118 


12 


24 


35 


47 


5 9 


7 1 


83 


94 


1 06 






"7 . 


12 


23 


35 


47 


5 9 


70 


82 


94 


io5 






"6 fi 


12 


23 


35 


46 


58 


70 


81 


93 


io4 




o5 


115 1 


12 


23 


35 


46 


58 


69 


81 


-9 3 


io4 




s 


u4 


II 


23 


34 


46 


5 7 


68 


80 


9 1 


io3 




i- 


n3 | . 


II 


23 


34 


45 


57 


68 


79 


9 


1 02 




5 


112 


II 


22 


34 


45 


56 


67 


78 


90 


101 




ft 


III 0, 


II 


22 


33 


44 


56 


67 


78 


89 


100 






no 2 


II 


22 


33 


44 


55 


66 


77 


88 


99 






109 ^ 


II 


22 


33 


44 


55 


65 


76 


87 


98 






1 08 


II 


22 


32 


43 


54 


65 


76 


86 


97 






107 


II 


21 


32 


43 


54 


64' 


75 


86 


96 





to 



LOGARITHMS OP NUMBERS. 



N. 





1 


2 


3 


4 


5 


6 


7 


8 


9 


D. 


409 


611723 


1829 


1936 


2O42 


2i48 


2254 


236o 


2466 


2572 


2 6 7 8 


106 


4io 


2784 


2890 


2996 


3102 


3207 


33i3 


3419 


35 2 5 


363o 


3 7 36 




4n 


3842 


3 9 4 7 


4o53 


4i5 9 


4264 


43 7 o 


44?5 


458i 


4686 


479 2 




412 


48 97 


5oo3 


5io8 


52i3 


5319 


5424 


5529 


5634 


5 7 4o 


5845 


io5 


4i3 


5950 


6o55 


6160 


6265 


63 7 o 


64 7 6 


658i 


6686 


6790 


68 9 5 




4U 


7000 


7io5 


7210 


7 3i5 


7 420 


7 5 2 5 


7629 


77 34 


7 83 9 


79 43 




4i5 


8o48 


8i53 


825 7 


8362 


8466 


85 7 i 


8676 


8780 


8884 


8989 




4i6 


99 3 


9198 


9302 


9406 


9 5i i 


9 6i5 


9719 


0.824 


9928 


..32 


104 


4i 7 


62oi36 


O24o 


o344 


0448 


o55 2 


o656 


0760 


o864 


0968 


1072 




4i8 


1176 


1280 


1 384 


i486 


l5 9 2 


i6 9 5 


1799 


I 9 o3 


2007 


2110 




419 


22l4 


23i8 


2421 


2525 


2628 


2 7 32 


2835 


2 9 3 9 


3o42 


3i46 




420 


3249 


3353 


3456 


355 9 


3663 


3 7 66 


386 9 


3 97 3 


4076 


4179 


io3 


421 


4282 


4385 


4488 


45 9 i 


46 9 5. 


4 79 8 


4901 


5oo4 


5107 


5210 




422 


53i2 


54i5 


55i8 


562i 


5 7 24 


582 7 


5 9 2 9 


6o32 


6i35 


6238 




423 


634o 


6443 


6546 


6648 


6 7 5i 


6853 


6 9 56 


7 o58 


7161 


7 263 




424 


7 366 


7 468 


7 5 7 i 


7 6 7 3 


7775 


7878 


7980 


8082 


8i85 


8287 


IO2 


426 


838 9 


8491 


85 9 3 


8695 


8797 


8 9 oo 


9002 


9 io4 


9206 


93*8 




426 


9410 


9512 


9 6i3 


9 7 i5 


0817 


99 i 9 


. .2.1 


.123 


.224 


.326 




427 


63o428 


o53o 


o63i 


o 7 33 


o835 


o 9 36 


io38 


n3 9 


1241 


1 342 




428 


1 444 


1 545 


1647 


1748 


i84 9 


i 9 5i 


2062 


2i53 


2255 


2356 


101 


429 


245 7 


2 55 9 


2660 


2761 


2862 


2 9 63 


3o64 


3i65 


3266 


3367 




43o 


3468 


356 9 


3670 


3 77 i 


3872 


3 97 3 


4074 


4i 7 5 


4276 


43 7 6 




43i 


4477 


45 7 8 


4679 


4779 


488o 


4 9 8i 


5o8i 


5i8 2 


5 2 83 


5383 


IOO 


432 


5484 


5584 


5685 


5 7 85 


5886 


5 9 86 


6087 


6i8 7 


6287 


6388 




433 


6488 


6588 


6688 


6789 


688 9 


6 9 8 9 


7089 


7 i8 9 


7290 


7 3 9 o 




434 


7490 


7 5 9 


7690 


779 


7 8 9 o 


799 


8090 


8i 9 o 


8290 


838 9 




435 


8489 


858 9 


8689 


8789 


8888 


8 9 88 


9088' 


9 i88 


9287 


9 38 7 


99 


436 


9 486 


9 586 


9686 


9785 


9 885 


99 84 


..84 


.i83 


.283 


.382 




43 7 


64o48i 


o58i 


0680 


0779 


o8 79 


o 97 8 


1077 


1177 


1276 


i3 7 5 




438 


i4?4 


1573 


1672 


1771 


18-71 


i 97 o 


2069 


2168 


2267 


2366 




439 


2465 


2563 


2662 


2761 


2860 


2 9 5 9 


3o58 


3i56 


3 2 55 


3354 




44o 


3453 


355i 


365o 


3 7 4 9 


384 7 


3 9 46 


4o44 


4i43 


4242 


434o 


98 


44 1 


443 9 


453 7 


4636 


4734 


4832 


4 9 3i 


5029 


5127 


5226 


5324 




442 


5422 


552i 


56i 9 


5717 


58i5 


5 9 i3 


60 1 1 


6110 


6208 


63o6 




443 


64o4 


65o2 


6600 


6698 


6 79 6 


68 9 4 


6992 


7 o8 9 


7187 


7 285 




444 


7383 


748 1 


7 5 79 


7676 


7774 


7872 


7969 


8067 


8i65 


8262 




445 


836o 


8458 


8555 


8653 


8 7 5o 


8848 


8 9 45 


9 o43 


9140 


9 23 7 


97 


446 


9 335 


9 43 2 


9 53o 


9627 


97 2 4 


9 82I 


99 i 9 


..16 


.n3 


.210 




447 


65o3o8 


o4o5 


o5o2 


0599 


o6 9 6 


o 79 3 


o8 9 o 


o 9 8 7 


io84 


1181 




448 


1278 


i3 7 5 


1472 


i56 9 


1666 


1762 


i85 9 


I 9 56 


2o53 


2i5o 




449 


2246 


2343 


2440 


2536 


2633 


2730 


2826 


2 9 23 


3019 


3n6 




45o 


32i3 


33o 9 


34o5 


35o2 


35 9 8 


36 9 5 


3 79 i 


3888 


3 9 84 


4o8o 


96 


45 1 


4i77 


42 7 3 


436 9 


4465 


4562 


4658 


4?54 


485o 


4946 


5o42 




452 


5:38 


5235 


533i 


5427 


5523 


56i 9 


5 7 i5 


58io 


5906 


6002 




453 


6098 


6194 


629.0 


6386 


6482 


65 77 


66 7 3 


6 7 6 9 


6864 


6 9 6o 




454 


7 o56 


7lf>2 


7247 


7343 


7438 


7534 


7 62 9 


7725 


7820 


7 9 i6 




455 


Sou 


8107 


8202 


8298 


83 9 3 


8488 


8584 


8679 


8774 


8870 


9 5 


456 


8965 


9060 


9 i55 


925o 


9 346 


9 44i 


9 536 


9 63i 


9726 


0.821 




45 7 


9916 


. . ii 


. 106 


.201 


.2 9 6 


.3 9 i 


.486 


.58i 


.676 


.771 




N. 


1 


2 


3 


4 


5 


6 


7 


8 


9 


1). 




1 06 


ii 


21 


32 


4a 


53 


64 


74 


85 


9 b 






io5 


ii 


21 


32 


4a 


53 


63 


74 


84 


9 5 






io4 Z 


IO 


21 


3i 


42 


52 


62 


73 


83 


94 




d| 


103 


10 


21 


3i 


4i 


52 


62 


72 


82 


93 




05 

g 


102 


IO 


2O 


3i 


4i 


5i 


61 


7i 


82 


93 




1 


101 | , 


IO 


20 


3o 


4o 


5i 


61 


7i 


81 


9 1 




| 


loo ' 


IO 


t 20 


3o 


4o 


5o 


60 


70 


80 


90 




5 


99 L 


10 


2O 


3o 


4o 


5o 


5 9 


69 


79 


89 






9 8 ? 


IO 


2O 


29 


3 9 


49 


5 9 




78 


88 






ftj 

97 P 


10 


I9' 


29 


3 9 


49 


58 


68 


78 


87 






96 


10 


1 9 


29 


38 


48 


58 


67 


77 


86 





Lo-GARITHMS OF NUMBERS. 



N." 1 " 


1 


2 


3 


4 ]| 5 


6 


7 


8 


9 


D 


458 


66o865 


o 9 6o 


io55 


n5o 


1245 


i33 9 


i434 


ID2 9 


1623 


1718 


9 5 


-45 9 


i8i3 


I 9 o 7 


2O02 


2O 9 6 


2I 9 I 


2286 


238o 


2475 


256 9 


2663 




46o 


2 7 58 


2852 


2947 


3o4i 


3 1 35 


323o 


3324 


34i8 


35i2 


3607 


94 


46 1 


3701 


3 79 5 


3889 


3 9 83 


4o 7 8 


4l 7 2 


4266 


436o 


4454 


4548 




462 


4642 


4 7 36 


483o 


4 9 24 


5oi8 


5lI2 


5206 


52 99 


53 9 3 


548 7 




463 


558i 


56 7 5 


5769 


5862 


5 9 56 


6o5o 


6i43 


6237 


633i 


6424 




464 


65i8 


6612 


6705 


6799 


68 9 2 


6 9 86 


779 


7 i 7 3 


7266 


736o 




465 


7453 


7 546 


7640 


7733 


7826 


79 20 


8oi3 


8106 


8i 99 


82 9 3 


9 3 


466 


8386 


84 79 


85 7 2 


8665 


8 7 5 9 


8852 


8 9 45 


9 o38 


9 i3i 


9 224 




46 7 


9 3i 7 


9 4io 


95o3 


9 5 9 6 


9 68 9 


97 82 


9 8 7 5 


99 6 7 


..60 


,i53 




468 


670246 


oSSg 


o43i 


o524 


061-7 


7 IO 


0802 


o8 9 5 


o 9 88 


1080 




46 9 


1173 


1265 


i358 


i45i 


1 543 


i636 


1728 


1821 


I 9 i3 


2OO5 




4 7 o 


2098 


2190 


2283 


2375 


246 7 


256o 


2652 


2744 


2836 


2 9 2 9 


92 


4 7 i 


3021 


3n3 


32o5 


3297 


33 9 o 


3482 


35 7 4 


3666 


3 7 58 


385o 




4 7 2 


3 9 42 


4o34 


4126 


4218 


43io 


4402 


4494 


4586 


46 77 


4 7 6 9 




4 7 3 


486i 


4953 


5o45 


5i3 7 


5228 


5320 


54i2 


55o3 


55 9 5 


5687 




4 7 4 


> 77 8 


58 7 o 


5962 


6o53 


6i45 


6236 


6328 


64i 9 


65n 


6602 




4 7 5 


66 9 4 


6 7 85 


6876 


6 9 68 


7 o5 9 


7 i5i 


7242 


-,333 


7424 


7 5i6 


9 1 




7607 


7698 


7789 


7881 


7972 


8o63 


8i54 


8245 


8336 


8427 




477 


85i8 


8609 


8700 


8 79 i 


8882 


8973 


9064 


9 i55 


9 246 


933 7 




478 


9 428 


9 5i 9 


9610 


9 7oo 


979 1 


9 882 


9973 


..63 


.i54 


.245 




479 


68o336 


0426 


o5i7 


0607 


o6 9 8 


o 7 8 9 


0879 


o 9 7O 


1060 


n5i 




48o 


1241 


i332 


l422 


i5i3 


i6o3 


i6 9 3 


1784 


i8 7 4 


i 9 64 


2o55 


9 


48 1 


2i45 


2235 


2326 


2416 


25o6 


2 5 9 6 


2686 


2777 


2867 


2 9 5 7 




482 


3o47 


3i3 7 


3227 


33i7 


34o 7 


34 9 7 


3587 


36 7 7 


3 7 6 7 


385 7 




483 


3 9 4 7 


4o3 7 


4l27 


4217 


43o 7 


43 9 6 


4486 


45 7 6 


4666 


4756 




484 


4845 


4 9 35 


5o25 


5n4 


52o4 


52 9 4 


5383 


54 7 3 


5563 


5652 




485 


5742 


583i 


5921 


6010 


6100 


6i8 9 


6279 


6368 


6458 


6547 


8 9 


486 


6636 


6726 


68i5 


6 9 o4 


6 99 4 


7 o83 


7172 


7 26l 


735i 


744o 




487 


7 52 9 


7618 


7707 


779 6 


7886 


797 5 


8o64 


8i53 


8242 


833i 




488 


8420 


8509 


85 9 8 


868 7 


8776 


8865 


8953 


9 o42 


9 i3i 


9 22O 




48 9 


9 3o 9 


9 3 9 8 


9486 


9 5 7 5 


9 664 


97 53 


9841 


99 3o 


. .19 


.107 




4 9 o 


6 9 oi 9 6 


0285 


0373 


0462 


o55o 


o63 9 


0728 


0816 


ogoS 


o 99 3 




4 9 i 


1081 


1170 


I2 58 


i34 7 


i435 


i524 


1612 


1700 


1789 


1877 


88 


492 


i 9 65 


2o53 


2l42 


2230 


2 3i8 


2406 


24 9 4 


2583 


2671 


2 7 5 9 




493 


284 7 


2 9 35 


3023 


3m 


3i 99 


328 7 


3375 


3463 


355i 


363 9 




4 9 4 


3 7 2 7 


38i5 


SgoS 


3 99 i 


4o 7 8 


4i66 


4254 


4342 


443o 


45i 7 




495 


46o5 


46 9 3 


478l 


4868 


4 9 56 


5o44 


5i3i 


52I 9 


5307 


53 9 4 




496 


5482 


556 9 


5657 


5 7 44 


5832 


5 9 i 9 


6007 


6o 9 4 


6182 


626 9 


87 


497 


6356 


6444 


653i 


6618 


6 7 o6 


6 79 3 


6880 


6 9 68 


7 o55 


7142 




498 


7 22 9 


7 3: 7 


74o4 


74 9 i 


7 5 7 8 


7 665 


77 5a 


7 83 9 


7926 


8oi4 




499 


8101 


8188 


82 7 5 


8362 


844 9 


8535 


8622 


8 7 o 9 


8796 


8883 




5oo 


8 97 o 


9067 


9i44 


9 23l 


9 3i 7 


9 4o4 


9491 


9 5 7 8 


9664 


97 5i 




5oi 


9 838 


9024 


. . ii 


..08 


.184 


.271 


.358 


.444 


.53i 


.617 




502 


7 oo 7 o4 


0790 


0877 


oo63 


io5o 


n36 


1222 


i3o 9 


iSgS 


1482 


86 


5o3 


i568 


1 654 


1741 


1827 


I 9 i3 


i 999 


2086 


2I 7 2 


2258 


2344 




5o4 


243l 


2517 


2 6o3 


268 9 


2 77 5 


2861 


2947 


3o33 


3119 


32o5 




5o5 


32 9 I 


33 77 


3463 


354 9 


3635 


3721 


3807 


38 9 3 


3 979 


4o65 




5o6 


4i5i 


4236 


4322 


44o8 


44 9 4 


45 79 


4665 


4 7 5i 


483 7 


4922 




507 


5oo8 


5094 


5 1 79 


5 2 65 


535o 


5436 


5522 


56o 7 


56 9 3 


5 77 8 




N. 





1 


2 


3 


4 || 5 


6 


7 


8 


9 


D. 




9 5 


IO 


19 


2 9 


38 


48 


57 


67 


76 


86 






94 a 


9 


19 


28 


38 


47 


56 


66 


75 


85 






93 s 


9 


i 9 


28 


37 


47 


56 


65 


74 


84 




a 


9 2 PU 


9 


18 


28 


37 


46 


55 


64 


74 


83 




Q 

- 


91 1- 


9 


18 


27 


36 


46 


55 


64 


73 


82 






9 9 


18 


27 


36 


45 


54 


61 


72 


81 




P' 


89 I' 9 


18 


2 7 


36 


45 


53 


6? 




80 






88 o" g 


18 


26 


35 


44 


53 


62 


7 


79 






8 7 


9 


17 


26 


35 


44 


52 


61 


70 


78 






86 


9 


17 


26 


34 


43 


52 


60 


69 


77 





LOGARITHMS OF NUMBERS. 



N. 





1 


2 


3 


4 


5 


6 


7 


8 


9 


D. 


5o8 


7 o5864 


5 9 49 


6o35 


6120 


6206 


6291 


63 7 6 


6462 


654 7 


6632 


85 


5o 9 


6 7 i8 


68o3 


6888 


6974 


7 o5 9 


7i44 


7 22 9 


7 3i5 


7 4oo 


7485 




5io 


7 5 7 o 


7 655 


7740 


7826 


7911 


7996 


8081 


8166 


825x 


8336 




5u 


8421 


85o6 


85 9 i 


8676 


8761 


8846 


8 9 3i 


9 oi5 


9 xoo 


9 x85 




5l2 


9 2 7 o 


9 355 


9 44o 


9524 


9609 


9694 


9779 


9 863 


9 9 48 


..33 




5i3 


7 IOII 7 


O2O2 


0287 


0371 


o456 


o54o 


0625 


0710 


o 79 4 


08 79 




5i4 


o 9 63 


io48 


Il32 


1217 


i3oi 


i385 


1470 


x554 


x63 9 


1723 


84 


5i5 


i8o 7 


l8 9 2 


1976 


2060 


2i44 


2229 


2 3i3 


2 3 97 


248 1 


2566 




5i6 


265o 


2 7 34 


2818 


2902 


2986 


3070 


3i54 


3238 


3323 


34o 7 




5i 7 


34 9 i 


35 7 5 


365 9 


3 7 42 


3826 


3910 


3 99 4 


4078 


4x62 


4246 




5i8 


433o 


44i4 


44 9 7 


458i 


4665 


4749 


4833 


4 9 x6 


5ooo 


5o84 




5i 9 


5i6 7 


5 2 5i 


5335 


54i8 


55o2 


5586 


566 9 


5 7 53 


5836 


5 9 2O 




52O 


6oo3 


6087 


6170 


6254 


633 7 


6421 


65o4 


6588 


66 7 x 


6 7 54 


83 


521 


6838 


6 9 2I 


7004 


7088 


7171 


7 254 


7338 


7421 


7 5o4 


7 58 7 




522 


7671 


7754 


7 83 7 


7 9 20 


8oo3 


8086 


8i6 9 


8 2 53 


8336 


84i 9 




5 2 3 


85o2 


8585 


8668 


8 7 5i 


8834 


8917 


9 ooo 


9 o83 


9i65 


9 248 




524 


9 33i 


9 4i4 


9497 


9$ So 


9 663 


9745 


9 828 


99 xx 


9994 


77 




525 


7 20l5 9 


0242 


o3 2 5 


0407 


0490 


o5 7 3 


o655 


o 7 38 


0821 


o 9 o3 




5 2 6 


o 9 86 


1068 


u5i 


1233 


i3i6 


i3 9 8 


i48i 


x563 


x 646 


1728 


82 


52 7 


1811 


i8 9 3 


i 97 5 


2o58 


2i4o 


2222 


2 3o5 


2 38 7 


2469 


2552 




5 2 8 


2634 


2716 


2 79 8 


2881 


2963 


3o45 


3127 


320 9 


3291 


33 7 4 




52 9 


3456 


3538 


3620 


3702 


3784 


3866 


3 9 48 


4o3o 


4lI2 


4i 9 4 




53o 


42 7 6 


4358 


444o 


4522 


46o4 


4685 


4767 


484 9 


4g3x 


5ox3 




53i 


5o 9 5 


5176 


5 2 58 


534o 


5422 


55c3 


5585 


566 7 


5 7 48 


583o 




532 


5 9 I2 


5 99 3 


6o 7 5 


6i56 


6238 


6320 


64oi 


6483 


6564 


6646 




533 


6 7 2 7 


68o 9 


68 9 o 


6 9 72 


7 o53 


7i34 


7216 


7 2 97 


7379 


7460 


81 


534 


7 54i 


7623 


77 o4 


7785 


7866 


7948 


8o2 9 


8110 


8191 


8273 




535 


8354 


8435 


85i6 


85 97 


8678 


8 7 5 9 


884i 


8(,22 


9003 


9084 




536 


9 i65 


9 246 


9 32 7 


9 4o8 


9489 


9 5 7 o 


9 65i 


97 3'2 


9813 


9 8 9 3 




53 7 


9974 


..55 


.136 


.2I 7 


.298 


.3 7 8 


45 9 


.540 


.621 


.702 




538 


7 3o 7 82 


o863 


o 9 44 


1024 


no5 


1186 


1266 


1 347 


1428 


i5o8 




53 9 


1589 


i66 9 


i 7 5o 


i83o 


1911 


i 99 i 


2072 


2l52 


2233 


a3i3 




54o 


2394 


2474 


2555 


2635 


2715 


2 79 6 


2876 


2 9 56 


3o37 


3n 7 


80 


54i 


3i 97 


32 7 8 


3358 


3438 


35i8 


35 9 8 


36 79 


3 7 5 9 


383 9 


3 9 x 9 




542 


3 999 


4o7 9 


4x^0 


4240 


4320 


44oo 


448o 


456o 


464o 


4 7 20 




543 


48oo 


488o 


4 9 6o 


5o4o 


5l2O 


52OO 


527 9 


535 9 


543 9 


55x 9 




544 


55 99 


56 7 9 


5 7 5 9 


5838 


5 9 i8 


5 99 8 


6078 


6i5 7 


6 2 3 7 


63i 7 




545 


63 97 


6476 


6556 


6635 


6715 


6 79 5 


68 7 4 


6 9 54 


7o34 


7 n3 




546 


7193 


7272 


7 352 


743 1 


7 5n 




7 6 7 o 


7749 


7829 


79 o8 


79 


54 7 


79 8 7 


8067 


8i46 


8225 


83o5 


8384 


8463 


8543 


8622 


8 7 ox 




548 


8 7 8i 


8860 


8 9 3 9 


9 oi8 


9097 


9 i77 


9 256 


9 335 


9 4i4 


9493 




54 9 


9 5 7 2 


9 65i 


97 3i 


9 8io 


9889 


99 68 


..47 


.126 


.2O5 


.284 




55o 


7 4o363 


0442 


o52I 


0600 


0678 


7 5 7 


o836 


0915 


o 99 4 


xo 7 3 




55i 


Il52 


1230 


1 309 


1 388 


1467 


1 546 


1624 


I 7 o3 


1782 


1860 




552 


i 9 3 9 


2018 


2096 


2175 


2254 


2332 


2411 


2489 


2568 


2 64 7 




553 


2725 


2804 


2882 


2 9 6i 


3o3 9 


3n8 


3i 9 6 


32 7 5 


3353 


343 1 


78 


554 


35io 


3588 


366 7 


3 7 45 


38 2 3 


3 9 O2 


3 9 8o 


4o58 


4x36 


42i5 




555 


4293 


43 7 i 


4449 


4528 


46o6 


4684 


4762 


484o 


4 9 x 9 


4997 




556 


5o 7 5 


5i53 


5 2 3i 


53o 9 


538 7 


5465 


5543 


562i 


56 99 


5 777 




55 7 


5855 


5 9 33 


6011 


6089 


6167 


6245 


6323 


64ox 


6479 


6556 




558 


6634 


6712 


6790 


6868 


6 9 45 


7023 


7101 


7 x 7 9 


7256 


7 334 




N. 





1 


2 


3 


4 


5 


i 


7 


8 


9 


D. 




86 


9 


-7 


26 


34 


43 


52 


60 


6 9 


77 






85 fi 




17 


26 


34 


43 


5i 


60 


68 


77 




n 


84 


8 




25 


34 


42 


5o 


5 9 


67 


76 




I 


83 2 


8 


17 


25 


33 


42 


5o 


58 


6fr 


75 




I* 


82 g, 
o 


8 


16 


25 


33 


4i 


49 


57 


66 


74 




*e 


81 'S 


8 


1 16 


24 


32 


4i 


49 


5 7 


65 


73 




Q 


80 | 


8 


16 


24 


32 


4o 


48 


56 


64 


7 2 






79 


8 


16 


24 


32 


4o 


47 


55 


63 


71 






78 * 


8 


16 


23 


3i 


3 9 


47 


55 


62 


70 





LOGARITHMS OF J\UMBERS. 



13 



N. 





1 


2 


3 


4 5 


6 


7 


8 


9 


D. 


55 9 


7 4 7 4i2 


7 48 9 


7 56 7 


7 645 


7722 


7800 


7878 


79.55 


8o33 


8110 


7 8 


56o 


8188 


8266 


8343 


8421 


84 9 8 


85 7 6 


8653 


8 7 3i 


8808 


8885 


77 


56i 


8 9 63 


9 o4o 


9118 


9 i 9 5 


9 272 


9 35o 


9427 


9 5o4 


9582 


9 65 9 




562 


9736 


9 8i4 


9891 


99 68 


..45 


.123 


.200 


.277 


.354 


.43i 




563 


7 5o5o8 


o586 


o663 


o 7 4o 


0817 


0894 


0971 


io48 


1125 


I2O2 




564 


I2 79 


i356 


i433 


i5io 


1587 


i664 


i 7 4i 


1818 


1895 


I 97 2 




565 


2048 


2125 


22O2 


22 79 


2356 


2433 


25o 9 


2586 


2663 


2740 




566 


2816 


28 9 3 


2 97 


3o4 7 


3i23 


3200 


3277 


3353 


343o 


35o6 




567 


3583 


366o 


3 7 36 


38i3 


388 9 


3 9 66 


4042 


4n 9 


4ig5 


4272 


\ 


$68 


4348 


4425 


45oi 


45 7 8 


4654 


4?3o 


4807 


4883 


4960 


5o36 


76 


56 9 


5lI2 


5i8 9 


5265 


534: 


54i 7 


54 9 4 


5570 


5646 


5722 


5 799 




570 


58 7 5 


5 9 5i 


602-7 


6io3 


6180 


6256 


633 2 


64o8 


6484 


656o 




5 7 i 


6636 


6 7 I2 


6 7 88 


6864 


6 9 4o 


7016 


70 9 2 


7168 


7 244 


7320 




5 7 2 


7396 


7 4 7 2 


7 548 


7624 


7700 


777 5 


7 85i 


79 2 7 


8oo3 


8079 




5 7 3 


8i55 


823o 


83o6 


8382 


8458 


8533 


86o 9 


8685 


8761 


8836 




5 7 4 


8 9 I2 


8 9 88 


9 o63 


9 i3 9 


9 2l4 


9 2 9 o 


9 366 


9 44i 


9 5l 7 


9 5 9 2 




5 7 5 


9 668 


9743 


9 8i 9 


9 8 9 4 


997 


..45 


.121 


.196 


.272 


34 7 


75 


5 7 6 


760422 


o4 9 8 


o5 7 3 


o64 9 


0724 


799 




ogSo 


IO25 


IIOI 




5 77 


n 7 6 


I25l 


i326 


1402 


i4 77 


i552 


1627 


1702 


1778 


i853 




5 7 8 


I 9 28 


2OO3 


2O 7 8 


2i53 


2228 


23o3 


23 7 8 


2453 


2529 


2604 




5 79 


26 79 


2 7 54 


282 9 


2 9 04 


2 97 8 


3o53 


3i28 


32o3 


32 7 8 


3353 




58o 


3428 


35o3 


35 7 8 


3653 


3727 


38o2 


38 77 


3 9 5 2 


4027 


4ioi 




58i 


4i 7 6 


425i 


4326 


44oo 


44 7 5 


455o 


4624 


4699 


4 77 4 


4848 




582 


4 9 23 


4 99 8 


5o 7 2 


5i4 7 


5221 


52 9 6 


53 7 o 


5445 


5520 


5594 




583 


566 9 


5743 


58i8 


58 9 2 


5 9 66 


6o4i 


6n5 


6190 


6264 


6338 


74 


584 


64i3 


648 7 


6562 


6636 


6 7 io 


6 7 85 


685 9 


6 9 33 


7007 


-7082 




585 


7 i56 


723o 


7 3o4 


7 3 79 


7 453 


7 52 7 


7601 


7 6 7 5 


7749 


7 823 




586 


7898 


7972 


8o46 


8120 


8i 9 4 


8268 


8342 


-84i6 


8490 


8564 




58 7 


8638 


8712 


8 7 86 


8860 


8 9 34 


9008 


9 o82 


9 i56 


9230 


93o3 




588 


9 3 77 


945 1 


9 5 2 5 


9 5 99 


9673 


9746 


9 820 


9 8 9 4 


9968 


..42 




58 9 


77 on5 


oi8 9 


0263 


o336 


o4io 


o484 


o55 7 


o631 


0705 


0778 




5 9 o 


o852 


0926 


999 


io 7 3 


n46 


I22O 


I2 9 3 


i36 7 


i44o 


i5i4 




5 9 i 


i58 7 


1661 


i 7 34 


1808 


1881 


i 9 55 


202% 


2 1 02 


2175 


2248 


73 




2322 


2 3 9 5 


2468 


2542 


2 6i5 


2688 


2 7 62 


2835 


2908 


2081 




5 9 3 


3o55 


3i28 


3201 


32 7 4 


3348 


3421 


34 9 4 


3567 


364o 


3713 




5 9 4 


3 7 86 


386o 


3 9 33 


4oo6 


4o 79 


4i52 


4225 


4298 


437i 


4444 




5 9 5 


45i 7 


45 9 o 


4663 


4 7 36 


48o 9 


4882 


4 9 55 


5028 


5ioo 


5i 7 3 




5 9 6 


5246 


53i 9 


53 9 2 


5465 


5538 


56io 


5683 


5 7 56 


5829 


5902 




5 97 


5 97 4 


6o4 7 


6120 


6i 9 3 


6265 


6338 


64n 


6483 


6556 


6629 




5 9 8 


6701 


6774 


6846 


6 9 i 9 


6 99 2 


7 o64 


7 i3 7 


7209 


7282 


7 354 




5 99 


7 42 7 


7499 


7 5 7 2 


7 644 


77 i 7 


7789 


7862 


7934 


8006 


8o 7 9 


72 


600 


8i5i 


8224 


82 9 6 


8368 


844 1 


85i3 


8585 


8658 


8 7 3o 


8802 




. 601 


88 7 4 


8 9 4 7 


9 OI 9 


9 o 9 i 


9 i63 


9 236 


93o8 


9380 


9452 


9624 




602 


9 5 9 6 


9 66 9 


974i 


9 8i3 


9 885 


99 5 7 


..29 


.101 


.i 7 3 


.245 




6o3 


7 8o3i 7 


o38 9 


o46i 


o533 


o6o5 


0677 


o 7 4 9 


0821 


0893 


0965 




6o4 


1037 


nog 


1181 


1253 


1324 


i3 9 6 


i468 


i54o 


1612 


1 684 




6o5 


I 7 55 


1827 


i8 99 


1971 


2042 


2Il4 


2186 


2258 


2329 


24OI 




606 


24 7 3 


2544 


2616 


2688 


2 7 5 9 


283i 


2 9 O2 


2974 


3o46 


3n 7 




6o 7 


3i8 9 


3260 


3332 


34o3 


34 7 5 


3546 


36i8 


368 9 


3 7 6i 


3832 


71 


608 


3 9 o4 


3 97 5 


4o46 


4n8 


4i8 9 


4261 


4332 


44o3 


44 7 5 


4546 




6o 9 


46i 7 


468 9 


4760 


483i 


4902 


4974 


5o45 


5n6 


5187 


5 2 5 9 




610 


533o 


54oi 


54 7 2 


543 


56i5 


5686 


5 7 5 7 


5828 


58 99 


5970 




611 


6o4i 


6112 


6i83 


6254 


63 2 5 


63 9 6 


646 7 


6538 


6609 


6680 




N. 





1 


2 


3 


4 


5 


6 


7 


8 


9 


D. 




77 


8 


i5 


23 


3i 


39 


46 


54 


62 


69 




8 


7 6 } 


8 


i5 


23 


3o 


38 


46 


53 


61 


68 






7 5 


8 


i5 


23 


3o 


38 


45 


53 


60 


68 




2 ' 


74 ^< 


7 


i5 


23 


3o 


3 7 


44 


52 


5 9 


67 




i 


7 3 g, 


7 


i5 


22 


29 


3? 


44 


5i 


58 


66 




S 


72 2 


7 


i4 


22 


29 


36 


43 


5o 


58 


65 






7 I PH 


7 


i4 


31 


28 


36 


43 


5o 


57 


64 





14 



LOGARITHMS OF LUMBERS. 



N. 





1 


2 


3 


4 


5 


6 


7 


8 


9 


D. 


612 


786751 


6822 


68 9 3 6964 


7 o35 


7 io6 


7 i 77 


7248 


7 3i 9 


7 3 9 o 


7 1 


6i3 


7460 


7 53i 


7602 


7 6 7 3 


7744 


7 8i5 


7 885 


79 56 


802-7 


8o 9 8 




6i4 


8168 


8239 


83io 


838i 


845i 


8522 


85 9 3 


8663 


8 7 34 


88o4 




6i5 


88 7 5 


8 9 46 


9016 


9 o8 7 


9 l5 7 


9228 


9299 


9 36 9 


9 44o 


9 5io 




616 


9 58i 


9 65i 


97 22 


979 2 


9 863 


99 33 


...4 


.. 7 4 


i44 


.215 


70 


6i 7 


7 9 0285 


o356 


O426 


0496 


0567 


06 3 7 


0707 


o 77 8 


o848 


o 9 i8 




618 


o 9 88 


1059 


1129 


1199 


1269 


i34o 


i4io 


i48o 


i55o 


1620 




6i 9 


i6 9 i 


i 7 6i 


i83i 


1901 


1971 


2041 


2III 


2181 


2252 


2322 




620 


23 9 2 


2462 


2532 


2602 


2672 


2742 


>8l2 


2882 


2 9 52 


3022 




621 


3o 9 2 


3i6 2 


3 2 3i 


33oi 


33 7 i 


344i 


35u 


358i 


365i 


3 7 2I 




622 


3790 


386o 


3 9 3o 


4ooo 


4o 7 o 


4i3 9 


420 9 


42 79 


4349 


44i8 




6 2 3 


4488 


4558 


462 7 


4697 


4 7 6 7 


4836 


4 9 o6 


4 97 6 


5o45 


5n5 




624 


5i85 


5 2 54 


5324 


53 9 3 


5463 


5532 


5602 


56 7 2 


5 7 4i 


58n 




6 2 5 


588o 


5949 


6019 


6088 


6i58 


6227 


62 97 


6366 


6436' 


v65o5 


69 


626 


65 7 4 


6644 


6 7 i3 


6782 


6852 


6 9 2I 


6990 


7060 


7 I2 9 


7 i 9 8 




627 


7268 


7 33 7 


7 4o6 


7 4 7 5 


7 545 


7614 


7 683 


77 '52 


-7821 






628 


79 6o 


8029 


8098 


8167 


8236 


83o5 


_83?4 


8443 


85i3 


8^82 




620, 


865i 


8 7 20 


8-789 


8858 


8927 


8 99 6 


9 o65 


9 i34 


9 203 


9 2 7 2 




63o 


9 34i 


9409 


94 7 8 


9 547 


9616 


9685 


97 54 


9 823 


9 8 9 2 


99 6i 




63i 


8ooo2 9 


0098 


oi6 7 


0236 


o3o5 


o3 7 3 


0442 


o5u 


o58o 


o648 




632 


0717 


0-786 


'o854 


O 9 23 


0992 


1061 


II2 9 


n 9 8 


1266 


i335 




633 


i4o4 


l4 7 2 


i54i 


1609 


i6 7 8 


i 7 4 7 


i8i5 


1 88.; 


I 9 52 


2021 




634 


2o8 9 


2i58 


2226 


22 9 5 


2363 


2432 


25oo 


2568 


263 7 


2 7 o5 




635 


2774 


2842 


2910 


2979 


3o4 7 


3u6 


3i84 


3252 


332i 


338 9 


68 


636 


345 7 


3525 


35 9 4 


3662 


3 7 3o 


3798 


386 7 


3 9 35 


4oo3 


4o 7 i 




63 7 


4i3 9 


4208 


42 7 6 


4344 


44i2 


448o 


4548 


46i6 


4685 


4?53 




638 


4821 


488 9 


4 9 5 7 


5o25 


5o 9 3 


5i6i 


522 9 


52 97 


5365 


5433" 




63 9 


55oi 


556 9 


563 7 


5 7 o5 


5 77 3 


584i 


5908 


5 97 6 


6o44 


6112 




64o 


6180 


6248 


63i6 


6384 


645 1 


65i 9 


6587 


6655 


6 7 23 


670.0 




64 1 


6858 


6926 


6 99 4 


7061 


7 I2 9 


7197 


7264 


7 33 2 


7 4oo 


7 46 7 




1 642 


7 535 


7 6o3* 


7 6 7 o 


7738 


7806 


7873 


7941 


8008 


80-76 


8i43 




I 643 


8211 


8 2?9 


8346 


84i4 


848 1 


8549 


8616 


8684 


8 7 5i 


8818 


67 


644 


8886 




9 02I 1 


9 o88 


9i56 


9223 


9290 


9 358 


9 425 


9 4 9 2 




645 


9 f>6o 


962-7 


9 6 9 4 


9762 


9829 


9 8 9 6 


9964 


. .3i 


..98 


.i65 




646 


8io233 


o3oo 


o36 7 


o434 


o5oi 


o56 9 


o636 


o 7 o3 


o 77 o 


o83 7 




647 


o 9 o4 


09-71 


io3 9 


1 1 06 


H 7 3 


1240 


1307 


i3 7 4 


i44i 


i5o8 




648 


i5 7 5 


1642 


I 7 o 9 


1776 


i843 


I 9 IO 


1977 


2044 


2III 


2178 




64 9 


2245 


23l2 


2 3 79 


2445 


25l2 


25 79 


2646 


2 7 l3 


2 7 80 


2847 




65o 


2 9 l3 


2980 


3o4 7 


3n4 


3i8i 




33i4 


338x 


3448 


35x4 




65i 


358i 


3648 


3 7 i4 


3 7 8i 


3848 


3 9 i4 


3 9 8i 


4o48 


4ii4 


4i8i 




652 


4248 


43i4 


438i 


4447 


45i4 


458 1 


4647 


4 7 i4 


4 7 8o 


4847 




653 


4 9 i3 


4980 


5o46 


5u3 


51-79 


5246 


53i2 


53 7 8 


5445 


55n 


66 


654 


55 7 8 


5644 


5 7 i i 


5777 


5843 


5 9 io 


5 97 6 


6042 


6io 9 


6i 7 5 




655 


6241 


63o8 


63 7 4 


644o 


65o6 


65 7 3 


663 9 


6 7 o5 


6 77 i 


6838 


, 


656 


6 9 o4 


69-70 


7 o36 


7102 


7169 


7 235 


7 3oi 


7 36 7 


7 433 


7499 




65 7 


7 565 


7 63i 


7 6 9 8 


7764 


7 83o 


7 8 9 6 


79 62 


8028 


8o 9 4 


8160 




658 


8226 


8292 


8358 


8424 


8490 


8556 


8622 


8688 


8 7 54 


8820 




65 9 


8885 


8 9 5i 


9 oi 7 


9083 


9149 


9 2l5 


0281 


9 346 


9 4l2 


9478 




660 
661 


9 544 
820201 


9 6io 
026-7 


9676 
o333 


97 4i 
o3 99 


o464 


9873 
653o 


llll 


...4 
0661 


..70 

7 2 7 


.i36 
0792 




662 


o858 


O 9 24 


o 9 8 9 


io55 


1120 


1186 


I25l 


i3i 7 


1382 


i448 




663 


i5i4 


i5 79 


i645 


I 7 IO 


i 77 5 


i84i 


I 9 o6 


I 97 2 


203 7 


2103 


65 


664 


2168 


2233 


22 99 


2364 


243o 


24 9 5 


256o 


2626 


26 9 I 


2 7 56 




N. 





1 


2 


3 


4 


5 


6 


7 


8 


9 


D. 




7 1 


7 


i4 


21 


28 


36 


43 


5o 


57 


64 







7 o 


7 


i4 


21 


28 


35 


42 


49 


56 


63 




g 


69 p. 


7 


i4 


21 


28 


35 


4i 


48 


55 


62 




* 


68 .. . 


7 


i4 


20 


27 


34 


4i 


43 


54 


61 




i 


67 . 


7 


i3 


30 


27 


34 


4o 


47 


54 


60 




s 


66 2 


7 


i3 


20 


26 


33 


4o 


46 


53 


5 9 






65 < 


7 


i3 


20 


26 


33 


39 


46 


52 


5 9 





LOGARITHMS OF NUMBERS. 



N. 





1 


2 


3 


4 5 


6 


7 


8 


9 


D. 


665 


822822 


2887 


2 9 52 


3oi8 


3o83 


3i48 


32i3 


3279 


3344 


3409 


65 


666 


3474 


3539 


36o5 


3670 


3 7 35 


38oo 


3865 


3 9 3o 


3 99 6 


4o6i 




667 


4126 


4191 


4256 


4321 


4386 


445 1 


45i6 


458i 


4646 


4711 




668 


4776 


484i 


4go6 


4971 


5o36 


5ioi 


5i66 


523i 


52 9 6 


536i 




669 


5426 


5491 


5556 


562i 


5686 


5 7 5i- 


58i5 


588o 


5 9 45 


6010 




670 


6075 


6i4o 


6204 


626 9 


6334 


63 99 


6464 


65 2 8 


65 9 3 


6658 




671 


6723 


6787 


6852 


6917 


6 9 8i 


7046 


7111 


7 i 7 5 


7240 


7 3o5 




672 


7 36 9 


7434 


7499 


7 563 


7628 


76 9 2 


77 5 7 


7821 


7 886 


795i 




673 


8oi5 


8o'8o 


8i44 


8209 


82 7 3 


8338 


8402 


846 7 


853i 


85 9 5 


64 


674 


8660 


8724 


8789 


8853 


8 9 i8 


8 9 82 


9046 


9111 


9 i 7 5 


9 23 9 




6 7 5 


93o4 


9368 


9432 


9497 


9 56i 


9 625 


9690 


9754 


9818 


9 88 2 




676 


9947 


. .11 


.. 7 5 


.189 


.2O4 


.268 


.332 


.3 9 6 


.46o 


.525 




677 


83o58 9 


o653 


0717 


0781 


0845 


o 9 o 9 


0973 


io3 7 


IIO2 


1166 




678 


1230 


1294 


i358 


1422 


i486 


i55o 


1614 


i6 7 8 


1742 


1806 




679 


1870 


1934 


1998 


2062 


2126 


2189 


2253 


23l 7 


23~8i 


2445 




680 


2509 


2 5 7 3 


2637 


2700 


2 7 64 


2828 


2892 


2956 


3020 


3o83 




68 1 


3i47 


3211 


32 7 5 


3338 


3402 


3466 


353o 


SSgS 


365 7 


3721 




682 


3 7 84 


3848 


3912 


3 97 5 


4o3 9 


4io3 


4i66 


4*3o 


4294 


435 7 




683 


442i 


4484 


4548 


46n 


46 7 5 


4 7 3 9 


4802 


4866 


4929 


4 99 3 




684 


5o56 


5l20 


5i83 


5 2 47 


53io 


53 7 3 


543 7 


55oo 


5564 


5627 


63 


685 


6691 


5754 


58i 7 


588i 


5 9 44 


6007 


6071 


6r34 


619-7 


-6261 




686 


6324 


638 7 


645 1 


65i4 


65 77 


664i 


6704 


6767 


683o 


68 9 4 




687 


6 9 5 7 


7 020 


7 o83 


7i46 


7210 


7273 


7336 


7399 


7462 


7 5 2 5 




688 


7 588 


7 652 


771.5 


7778 


7 84i 


7904 


7967 


8o3o 


8093 


8i56 




689 


8219 


8282 


8345 


84o8 


84 7 i 


8534 


8597 


8660 


8 7 a3 


8786 




690 


8849 


8912 


8 97 5 


9 o38 


9 ioi 


9164 


9227 


9289 


9 35 2 


9 4i5 




691 


9478 


9 54i 


9 6o4 


9 667 


97 2 9 


9792 


9855 


9918 


998i 


..43 




692 


84oio6 


0169 


0232 


02 9 4 


o35 7 


O420 


0482 


o545 


0608 


0671 




693 


0733 


o 7 96 


o85 9 


9 2I 


0984 


io46 


1109 


1172 


1234 


I2 9 7 




6 9 4 


1359 


l422 


i485 


1 547 


1610 


1672 


I 7 35 


1797 


1860 


I 9 22 




6 9 5 


1985 


204 7 


2IIO 


2172 


2235 


2297 


2 36o 


2422 


2484 


2547 


6a 


696 


2609 


26 7 2 


2 7 34 


2 79 6 


2859 


2921 


2983 


3o46 


3io8 


3170 




697 


3233 


32 9 5 


3357 


3420 


3482 


3544 


36o6 


3669 


3 7 3i 


3 79 3 




698 


3855 


3918 


3 9 8o 


4042 


4io4 


4i66 


4229 


4291 


4353 


44i5 




699 


4477 


453 9 


46oi 


4664 


4-726 


4788 


485o 


4912 


4 97 4 


5o36 




700 


5098 


5i6o 


5222 


5284 


5346 


54o8 


5470 


5532 


55 9 4 


5656 




701 


5 7 i8 


5 7 8o 


5842 


5 9 o4 


5966 


6028 


6090 


6i5i 


6213 


6275 




702 


6337 


63 99 


646 1 


6523 


6585 


6646 


6708 


6770 


6832 


68 9 4 




7 o3 


6 9 55 


7oi 7 


7079 


7141 


7202 


7264 


7326 


7388 


7449 


7 5n 




704 


7 5 7 3 


7634 


7696 


7758 


7819 


7881 


79 43 


8oo4 


8066 


8128 




705 


8189 


825i 


83i2 


83 7 4 


8435 


8497 


855 9 


8620 


8682 


8 7 43 




706 


88o5 


8866 


8928 


8 9 8 9 


9o5i 


9112 


9 i 7 4 


9235 


9297 


^358 


61 


707 


9419 


948i 


9542 


9 6o4 


9665 


9726 


97 88 


9849 


9911 


9972 




708 


85oo33 


0095 


oi56 


0217 


0279 


o34o 


o4oi 


0462 


o5 2 4 


o585 




709 


o646 


070? 


0769 


o83o 


0891 


0952 


1014 


io 7 5 


n36 


n 97 




710 


1258 


1320 


i38i 


1442 


i5o3 


i564 


1625 


1686 


1747 


i8o 9 




711 


1870 


1931 


1992 


2o53 


2Il4 


2175 


2236 


229 7 


2358 


24l 9 




712 


2480 


2 54i 


2602 


2663 


2724 


2 7 85 


2846 


290 7 


2968 


3o2 9 




718 


Sogo 


3i5o 


3211 


3272 


3333 


33 9 4 


3455 


35i6 


35?7 


363 7 




7 i4 


36 9 8 


3 7 5 9 


3820 


388i 


3 9 4i 


4002 


4o63 


4124 


4i85 


4245 




7 i5 


43o6 


436 7 


4428 


4488 


454 9 


46io 


46 7 o 


4 7 3i 


479 2 


485 2 




716 


4gi3 


4 9 ?4 


5o34 


5o 9 5 


5i56 


52i6 


5 2?7 


533 7 


53 9 8 


545 9 




717 


55i 9 


558o 


564o 


5701 


5761 


5822 


5882 


5 9 43 


6oo3 


6o64 




718 


6124 


6i85 


6245 


63o6 


6366 


6427 


648 7 


6548 


6608 


6668 


60 


719 


6729 


6789 


685o 


6 9 io 


6 97 


7o3i 


7 o 9 i 


7 l52 


7212 


7 2 7 2 




N. 





' 1 


2 


3 


4 || 5 


6 


7 


8 


9 


D. 




64 og 


6 


i3 


J 9- 


26 


32 


38 


45 


5i 


58 




|2 


63 S 


6 


i3 


1 9 


25. 


32 


38 


44 


5o 


57 




1 


62 PH- 


6 


12 


J 9 


25 


3i 


37 


43 


5o 


56 




6 


61 o 


6 


12 


18 


24 


3i 


3? 


43 


49 


55 






. 60 


6 


12 


18 


24 


3o 


36 


42 


48 


54 





LOGARITHMS OF NUMBERS. 



N. 





1 


2 


3 


4 


5 


6 


7 


8 


9 


D. 


720 


85 7 332 


7 3 9 3 


7 453 


7 5i3 


7 b 7 4 


7 634 7 6 9 4 


77 55 


7 8i5 


7 8 7 5 


60 


721 


79 35 


799 5 


8o56 


8116 


8i 7 6 


8236 


82 97 


835 7 


84i 7 


84 77 




722 


853 7 


85 97 


865 7 


8 7 i8 


8778 


8838 


8898 


8 9 58 


9 oi8 


9 o 7 8 




72 3 


9 i38 


9198 


9 258 


9318 


9 3 79 


9 43 9 


9499 


9 55 9 


9 6i 9 


9 6 79 




7 24 


9739 


9799 


9 85 9 


99 i8 


997 s 


..38 


..98 


.158 


.218 


.278 




726 


86o338 


0398 


o458 


o5i8 


o5 7 8 


o63 7 


o69 7 


0757 


o8i 7 


0877 




726 


o 9 3 7 


0996 


io56 


1116 


H 7 6 


1236 


1295 


i355 


i4i5 


i4 7 5 




727 


i534 


1594 


i654 


1-714 


I 77 3 


i833 


i8 9 3 


I 9 52 


2012 


2O 7 2 




728 


2l3l 


2191 


225l 


23lO 


23 7 


243o 


2489 


254 9 


2608 


2668 




729 


2-728 


2 7 8 7 


2 84 7 


2 9 o6 


2966 


3o25 


3o85 


3i44 


3-204 


3263 




7 3o 


33 2 3 


3382 


3442 


35oi 


356i 


3620 


368o 


3 7 3 9 


3 799 


3858 


5 9 


7 3i 


3 9 i 7 


3 977 


4o36 


4o 9 6 


4i55 


42i4 


42 7 4 


4333 


43 9 2 


4452 




7 32 


45n 


45 7 o 


463o 


468 9 


4 7 48 


48o8 


486 7 


4 9 26 


4 9 85 


5o45 




7 33 


5io4 


5i63 


5222 


5282 


534i 


54oo 


545 9 


55i 9 


55 7 8 


563 7 




734 


56 9 6 


5 7 55 


58i4 


58 7 4 


5 9 33 


5 99 2 


6o5i 


6110 


6i6 9 


6228 




7 35 


6287 


6346 


64o5 


6465 


6524 


6583 


6642 


6701 


6 7 6o 


68i 9 




736 


68 7 8 


6 9 3 7 


6996 


7 o55 


7 n4 


7 i 7 3 


7 232 


72 9 i 


7 35o 


7 4o 9 




7 3 7 


7 46 7 


7 5 2 6 


7 585 


7 644 


77 o3 


7762 


7 82I 


7880 


79 3 9 


-7998 




7 38 


8o56 


8n5 


8i 7 4 


8233 


82 9 2 


835o 


8409 


8468 


85 2? 


8586 




7 3 9 


8644 


8 7 o3 


8 7 6 2 


8821 


88 79 


8 9 38 


8997 


9 o56 


9 ii4 


9 i 7 3 




?4o 


9232 


9 2 9 


9349 


9 4o8 


9 466 


9 5 2 5 


9 584 


9 642 


97 oi 


9 7 6o 




7 4i 


9818 


9 8 77 


9935 


9994 


..53 


.in 


.1-70 


.228 


.28-7 


.345 




742 


8 7 o4o4 


0462 


0521 


o5 79 


o638 


o6 9 6 


o 7 55 


o8i3 


08-72 


0930 


58 


743 


0989 


1047 


1106 


n64 


1223 


1281 


1339 


i3 9 8 


i456 


i5i5 




744 


i5 7 3 


i63i 


1690 


i 7 48 


1806 


1 865 


1923 


i 9 8i 


2040 


2098 




745 


2i56 


22l5 


22 7 3 


2 33i 


2 38 9 


2448 


25o6 


2564 


2622 


2681 




746 


2 7 3 9 


2797 


2855 


2913 


2 97 2 


3o3o 


3o88 


3i46 


3204 


3262 




74 7 


332i 


3379 


343 7 


3495 


3553 


36ii 


366 9 


3727 


3 7 85 


3844 




748 


3902 


3960 


4oi8 


4o 7 6 


4i34 


4192 


425o 


43o8 


4366 


4424 




7^9 


4482 


4540 


45 9 8 


4656 


4 7 i4 


4772 


483o 


4888 


4 9 45 


5oo3 




7 5o 


5o6i 


5119 


5i 77 


5 2 35 


52 9 3 


535i 


54o 9 


5466 


5524 


5582 




7 5i 


564o 


56 9 8 


5 7 56 


58i3 


58 7I 


5929 


5 9 8 7 


6o45 


6102 


6160 




762 


6218 


62-76 


6333 


63 9 i 


644 9 


65o7 


6564 


6622 


6680 


6 7 3 7 




7 53 


6795 


6853 


6 9 io 


6968 


-7026 


7083 


7 i4i 


7i 99 


7 256 


7 3i4 




7 54 


7 3 7 i 


7 42 9 


7 48 7 


7544 


-7602 


7 65 9 


77i7 


7774 


7 832 


7889 




7 55 


7947 


8oo4 


8062 


8119 


8177 


8234 


8292 


834 9 


84o 7 


8464 


57 


7 56 


8522 


85 79 


863 7 


86 9 4 


8 7 5 2 


8809 


8866 


8 9 24 


8 9 8i 


9 o3 9 




7 5 7 


9096 


9 i53 


9 2II 


9268 


9 325 


9383 


944o 


9497 


9 555 


9612 




7 58 


9669 


97 26 


97 84 


984i 


9898 


9956 


..i3 


..70 


.I2 7 


.i85 




7 5 9 


880242 


0299 


o356 


o4i3 


o4 7 i 


o5 2 8 


o585 


0642 


o6 99 


o 7 56 




7 6o 


o8i4' 


08-71 


0928 


0985 


io4a 


1099 


n56 


I2l3 


I2 7 I 


i3 2 8 




761 


1 385 


1 442 


1499 


i556 


i6i3 


i6 7 o 


I 7 2 7 


1784 


1841 


1898 




762 


1955 


2OI2 


2069 


2126 


2i83 


2240 


229-7 


2354 


2411 


2468 




763 


2525 


258l 


2638 


2695 


2 7 52 


2809 


2866 


2 9 23 


2 9 8o 


3o3 7 




764 


SogS 


3i5o 


32O 7 


3 2 64 


3321 


33 77 


3434 


34 9 i 


3548 


36o5 




7 65 


366i 


3 7 i8 


3 77 5 


3832 


3888 


3 9 45 


4OO2 


4o5 9 


4n5 


4l 7 2 




766 


4229 


4285 


4342 


43 99 


4455 


45i2 


456 9 


4625 


4682 


4 7 3 9 




767 


4 79 5 


485 2 


4909 


4 9 65 


5O22 


5o 7 8 


5i35 


5l 9 2 


5248 


53o5 




768 


536i 


54i8 


54 7 4 


553i 


558 7 


5644 


5 7 oo 


5 7 5 7 


58i3 


58 7 o 




769 


5926 


6983 


6039 


6096 


6i5 2 


6209 


6a65 


632i 


63 7 8 


6434 


56 


770' 


6491 


654 7 


6604 


6660 


6 7 i6 


6 77 3 


6829 


6885 


6 9 42 


6998 




771 


7o54 


7111 


7 i6 7 


7223 


7280 


7 336 


7 3 9 2 


7 44 9 


7 5o5 


7 56i 




772 


7 6i 7 


76 7 4 


77 3o 


7786 


7 842 


7 8 9 8 


79 55 


8011 


8o6 7 


8i23 




773 


8i79 


8236 


8292 


8348 


84o4 


846o 


85i6 


85 7 3 


862 9 


8685 




774 


8741 


8 797 


8853 


8909 


8 9 65 


9021 


977 


9 i34 


9 i 9 o 


9246 




N. 1 


2 


3 


4 


5 


6 


7 


8 


9 


D. 




60 a 


6 


12 


18 


24 


3o 


36 


42 


48 


54 







5 9 S 


6 


12 


18 


24 


3o 


35 


4i 


47 


53 




| 


58 PH . 


6 


12 


17 


23 


29 


35 


4i 


46 


52 




ft 


5 7 o 


6 


II 


J 7 


23 


29 


34 


4o 


46 


5i 






56 


6 


II 


17 


23 


28 


34 


3 9 


45 


5o 






LOGARITHMS OF NUMBERS. 



17 



N. 





1 


2 


3 


4 


5 


6 


7 


8 


9 


D. 


7?5 


889302 


9 358 


94i4 


9 4 7 o 


9 526 


9582 


9 638 


9 6 9 4 


97 5o 


9 8o6 


56 


776 


9862 


9918 


9974 


..3o 


..86 


,x4x 


.197 


.253 


.3o 9 


.365 




111 


890421 


o4 77 


o533 


o58 9 


o645 


o 7 oo 


o 7 56 


0812 


0868 


9 24 




778 


0980 


io35 


1091 


n4? 


1203 


I25 9 


i3i4 


i3 7 o 


1426 


1482 




779 


i53 7 


i5 9 3 


1649 


1705 


I 7 6o 


1816 


l8 7 2 


I 9 28 


I 9 83 


2o3 9 




780 


2096 


2i5o 


2206 


2262 


23l 7 


23 7 3 


2429 


2484 


254o 


2 5 9 5 




781 


2661 


2 7 7 


2762 


2818 


28 7 3 


2929 


2 9 85 


3o4o 


3o 9 6 


3i5i 




782 


3207 


3262 


33i8 


3373 


3429 


3484 


354o 


35 9 5 


365i 


3 7 o6 




7 83 


3 7 62 


38i 7 


38 7 3 


3 9 28 


3 9 84 


4o3 9 


4og4 


4i5o 


42o5 


4261 


55 


784 


43i6 


43 7 i 


4427 


4482 


4538 


45 9 3 


4648 


4 7 o4 


4 7 5 9 


48i4 




7 85 


4870 


4925 


4980 


5o36 


5o 9 i 


5i46 


5201 


5 2 5 7 


53i2 


536 7 




786 


5423 


54 7 8 


5533 


5588 


5644 


5699 


5 7 54 


58o 9 


5864 


5 9 20 




787 


5 97 5 


6o3o 


6o85 


6i4o 


6i 9 5 


6 2 5i 


63o6 


636i 


64i6 


64 7 i 




788 


6626 


658i 


6636 


6692 


6 7 4 7 


6802 


685 7 


6 9 I2 


6 9 6 7 


7022 




789 


7077 


7 l32 


7187 


7242 


7 2 97 


7 352 


7 4o 7 


7 462 


7 5i 7 


7 5 7 2 




79 


7627 


-7682 


7737 


7792 


7 84 7 


7902 


79 5 7 


8012 


8o6 7 


8122 




791 


8176 


823i 


8286 


834i 


83 9 6 


845 1 


85o6 


856i 


86i5 


86 7 o 




792 


8726 


8 7 8o 


8835 


8890 


8 9 44 


8999 


9o54 


9 io 9 


9 i64 


9 2l8 




793 


0273 


9828 


9383 


943 7 


9 4 9 2 


9 54 7 


9602 


9 656 


9711 


97 66 




794 


9821 


9 8 7 5 


9930 


99 85 


..3 9 


.. 9 4 


.149 


.203 


.258 


.312 




79 5 


900367 


0422 


0476 


o53i 


o586 


o64o 


0695 


o 7 4 9 


o8o4 


o85 9 




796 


0913 


0968 


1022 


1077 


n3i 


1186 


1240 


I2 9 5 


i34 9 


i4o4 




797 


i458 


i5i3 


i56 7 


1622 


i6 7 6 


I 7 3i 


i 7 85 


i84o 


i8 9 4 


i 9 48 


54 


798 


2003 


2057 


2112 


2166 


2221 


22 7 5 


2329 


2384 


2438 


24 9 2 




799 


2647 


2601 


2655 


2710 


2 7 64 


28l8 


28 7 3 


2 9 2 7 


2981 


3o36 




800 


3090 


3i44 


3i 99 


3253 


33o 7 


336i 


34i6 


3470 


3524 


35.78 




801 


3633 


368 7 


374i 


3 79 5 


384 9 


3904 


SgSS 


4OI2 


4o66 


4l2O 




802 


4i74 


4229 


4283 


433 7 


43 9 i 


4445 


4499 


4553 


4607 


466i 




8o3 


4716 


477<> 


4824 


48 7 8 


4 9 32 


4986 


5o4o 


5o 9 4 


5i48 


52O2 




8o4 


6266 


53io 


5364 


54i8 


54 7 2 


5526 


558o 


5634 


5688 


5 7 42 




8o5 


6796 


585o 


5 9 o4 


5 9 58 


6012 


6066 


6119 


6173 


6227 


6281 




806 


6335 


6389 


6443 


6497 


655i 


6604 


6658 


6712 


6766 


6820 




807 


68 7 4 


6927 


6981 


7o35 


7 o8 9 


7 i43 


7 i 9 6 


725o 


?3o4 


7 358 




808 


7 4n 


7465 


7519 


7 5 7 3 


7626 


7 68o 


7734 


7787 


784i 


7895 




809 


7949 


8002 


8o56 


8110 


8i63 


82I 7 


82 7 


8324 


83 7 8 


843 1 




810 


8485 


853 9 


8592 


8646 


86 99 


8 7 53 


88o 7 


8860 


8 9 i4 


8 9 6 7 




8n 


9021 


9074 


9128 


9181 


9 235 


9289, 


9 342 


9 3 9 6 


9 44 9 


9 5o3 




812 


9 556 


9610 


9663 


9 7 i6 


$77 


98,33 


9877 


99 3o 


99 84 


..3 7 


53 


8i3 


910091 


oi44 


0197 


025l 


o3o4 


o358 


o4n 


o464 


o5i8 


o5 7 i 




8x4 


062^ 


o6 7 8 


0731 


0784 


o838 


0891 


o 9 44 


o 99 8 


io5i 


no4 




8i5 


n58 


I2II 


1264 


1317 


i3 7 i 


i424 


1477 


i53o 


1 584 


i63 7 




8x6 


1690 


i 7 43 


1797 


i85o 


I 9 o3 


1956 


2OO 9 


2o63 


2116 


2l6 9 




817 


2222 


22 7 5 


23 2 8 


238i 


2435 


2488 


254l 


25 9 4 


2647 


2 7 OO 




8x8 


2 7 53 


2806 


2859 


2913 


2 9 66 


3019 


3o 7 2 


3i25 


3i 7 8 


323i 




819 


3284 


333 7 


SSgo 


3443 


34 9 6 


354 9 


36o2 


3655 


3 7 o8 


3 7 6i 




820 


38i4 


386 7 


3920 


3 97 3 


4026 


4o 7 9 


4l32 


4i84 


423 7 


42 9 O 




821 


4343 


43 9 6 


4449 


45o2 


4555 


46o8 


466o 


47i3 


4 7 66 


48i 9 




822 


48 7 2 


4925 


4977 


5o3o 


5o83 


5i36 


5i8 9 


5 2 4i 


52 9 4 


534 7 




828 


54oo 


5453 


55o5 


5558 


56n 


5664 


5 7 i6 


5 7 6 9 


5822 


58 7 5 




824 


5 9 2 7 


5980 


6o33 


6o85 


6i38 


6191 


6243 


62 9 6 


634 9 


64oi 


826 


6454 


65o7 


655 9 


6612 


6664 


6 7 i 7 


6 77 o 


6822 


68 7 5 


6 9 2 7 


826 


6980 


7o33 


7 o85 


7 i38 


7 i 9 o 


7 243 


7 2 9 5 


7 348 


7 4oo 


7 453 




827 


7 5o6 


7 558 


7 6n 


7 663 


77 i6 


7768 


7820 


7873 


79 25 


7978 


52 


828 


8o3o 


8o83 


8i35 


8188 


8240 


8293 


8345 


83 97 


845o 


85o2 




829 


8555 


8607 


865 9 


8 7 I2 


8 7 64 


8816 


886 9 


8 9 2I 


8 97 3 


9 O26 




83o 


90 7 8 


9i3o 


9183 


9 235 


9 28 7 


9340 


9 3 9 2 


9 444 


9 4 9 6 


9 54 9 




N, | | 1 


2 


3 


4 


5 


6 


7 


8 


9 


D. 


. f 55 o5 f 6 


ii 


J 7 


22 


28 


33 


3 9 


44 


5o 




jiJ-w-SJ 5 


ii 


16 


22 


27 


32 


38 


43 


49 




5 53 P;j 5 


ii 


16 


21 


27 


32 


37 


42 


48 




Q I 62 I 5 


10 


16 


21 


26 


3i 


36 


4a 


47 





B 



18 



LOGARITHMS OF NUMB 



E RS. 



N. 


VI i 


2 


3 


4 5 


6 


7 


8 


9 


D. 


83i 


919601 ( g653 9706 


97 58 


9 8io 


9862 


99*4 


99 6 7 


..i 9 


..71 


52 


832 


920123 


0176 


0228 


0280 


o332 


o384 


o436 


o48 9 


o54i 


o5 9 3 




833 


o645 


0697 


0749 


0801 


o853 


0906 


o 9 58 


IOIO 


1062 


i u4 




834 


ii 66 


I2i8 


1270 


l322 


i3 7 4 


1426 


i4 7 8 


i53o 


i58 2 


1 634 




835 


1686 


1733 


1790 


1842 


i8 9 4 


I 9 46 


i 99 8 


2o5o 


2IO2 


2i54 




836 


2206 


2258 


s3io 


2362 


24i4 


2466 


2 5i8 


2570 


2622 


2674 




83 7 


2725 


2777 


2829 


2881 


2 9 33 


2 9 85 


3o3 7 


3o8 9 


3i4o 


3i 9 2 




838 


3244 


3296 


3348 


33 99 


345 1 


35o3 


3555 


36o 7 


3658 


3710 




83 9 


3762 


38i4 


3865 


3 9 i 7 


3 9 6 9 


4021 


4o 7 2 


4i2A 


4176 


4228 




84o 


4279 


433i 


4383 


4434 


4486 


4538 


458 9 


464? 


4693 


4744 




84i 


479 6 


4848 


4899 


4 9 5i 


5oo3 


5o54 


5io6 


5i5 7 


52O 9 


5261 




842 


53i2 


5364 


54i5 


546 7 


55i8 


55 7 o 


562i 


56 7 3 


5 7 25 


5 77 6 




843 


58 2 8 


58 79 


5 9 3i 


5 9 82 


6o34 


6o85 


6i3 7 


6188 


6240 


62 9 I 


5i 


844 


6342 


63 9 4 


6445 


64 97 


6548 


6600 


665i 


6702 


6 7 54 


68o5 




845 


685 7 


6908 


6 9 5 9 


7 OII 


7062 


7 n4 


7 i65 


7216 


7268 


7 3i 9 




846 


7 3 7 


7422 


7 4 7 3 


7 5 2 4 


7576 


7 62 7 


7678 


7 7 3o 


77 8i 


7 832 




84? 


7883 


79 35 


7986 


8o3 7 


8088 


8i4o 


8191 


8 2 4 


82 9 3 


8345 




848 


83 9 6 


8447 


8498 


854 9 


8601 


8652 


8 7 o3 


8 7 54 


88o5 


8857 




849 


8908 


8 9 5 9 


9010 


9 o6i 


9 I 12 1 


9163 


9 2l5 


9 266 


9 3l 7 


9 368 




85o 


9419 


947 


9 52I 


9 5 7 2 


9 623 


96 7 4 


97 s5 


9776 


9 82 7 


9 8 79 


85i 


99 3o 


99 8i 


..32 


..83 


.134 


.i85 


.236 


.287 


.338 


.38 9 




85 2 


9 3o44o 


o4 9 i 


o542 


o5 9 2 


o643 


0694 


0745 


o 79 6 


o84 7 


o8 9 8 




853 


0949 


IOOO 


io5i 


1102 


u53 


I2O4 


1254 


i3o5 


i356 


1407 




854 


i458 


i5o 9 


i56o 


1610 


166! 


I 7 I2 


1763 


1814 


i865 


I 9 i5 




855 


1966 


2017 


2068 


2118 


2i6 9 


222O 


2271 


2322 


23 7 2 


2423 




856 


2474 


2524 


2 5 7 5 


2626 


2677 


2 7 2 7 


2778 


282 9 


a8 79 


2 9 3o 




85 7 


2981 


3o3i 


3o82 


3i33 


3i83 


3234 


3285 


3335 


3386 


3437 




858 


348 7 


3538 


358 9 


363 9 


36 9 o 


3 7 4o 


3 79 i 


384i 


38 9 2 


3 9 43 




85 9 


3 99 3 


4o44 


4094 


4i45 


4i 9 5 


4246 


42 9 6 


4347 


43 97 


4448 




860 


44 9 8 


4549 


4599 


465o 


4700 


4 7 5i 


48oi 


4852 


4 9 02 


4 9 53 


5o 


86 1 


5oo3 


5o54 


5io4 


5i54 


52o5 


5 2 55 


53o6 


5356 


5406 


545 7 




862 


55o 7 


5558 


56o8 


5658 


5709 


5 7 5 9 


58o 9 


586o 


5 9 io 


5 9 6o 


i 


863 


6011 


6061 


6m 


6162 


6212 


6262 


63i3 


6363 


64i3 


6463 




864 


65i4 


6564 


66i4 


6665 


6 7 i5 


6 7 65 


68i5 


6865 


6 9 i6 


6 9 66 




865 


7016 


7066 


7117 


7 i6 7 


7217 


7 26 7 


7 3i 7 


7 36 7 


7 4i8 


7 468 




866 


75i8 


7 5B8 


7618 


7668 


7718 


77 6 9 


7819 


7869 


79 i 9 


79 6 9 




867 


8019 


8069 


8119 


8i6 9 


8219 


826 9 


8320 


8^0 


8420 


84 7 o 




868 


8520 


85 7 o 


8620 


86 7 o 


8720 


8 77 o 


8820 


88 7 o 


8 9 20 


8 97 o 




869 


9020 


9070 


9120 


9 i 7 o 


9220 


9 2 7 


9 320 


9 36 9 


9 4i 9 


9 46 9 




870 


9 5i 9 


9569 


9619 


9 66 9 


9719 


9769 


9 8i 9 


9 86 9 


99 i8 


99 68 




871 


9 4ooi8 


0068 


0118 


0168 


0218 


026 7 


o3i 7 


o36 7 


o4i 7 


o46 7 




872 


o5i6 


o566 


0616 


0666 


0716 


o 7 65 


o8i5 


o865 


o 9 i5 


o 9 64 




8 7 3 


1014 


io64 


in4 


n63 


I2l3 


1263 


i3i3 


i36 2 


1412 


1462 




874 


i5n 


1661 


1611 


1660 


1710 


I 7 6o 


i8o 9 


i85 9 


I 9 9 


i 9 58 




8 7 5 


2008 


2o58 


2107 


2l5 7 


2207 


2256 


2 3o6 


2355 


24o5 


2455 




876 


25o4 


2554 


26o3 


2653 


2702 


2 7 52 


2801 


285i 


2 9 OI 


2 9 5o 




877 


3ooo 


3o4g 


3o 99 


3i48 


3i 9 8 


324 7 


32 97 


3346 


33 9 6 


3445 


49 


878 


34 9 5 


3544 


35 9 3 


3643 


36 9 2 


3 7 4a 


3 79 i 


384i 


38 9 o 


3 9 3 9 




879 


3 9 8 9 


4o38 


4o88 


4i3 7 


4i86 


4236 


4285 


4335 


4384 


4433 




880 


4483 


4532 


458i 


463i 


468o 


4 7 2 9 


4779 


4828 


48 77 


4 9 2 7 




Hi 


4976 


5o 2 5 


5074 


5i24 


5i 7 3 


5222 


5272 


532i 


53 7 o 


54i 9 




882 


546 9 


55i8 


556 7 


56i6 


5665 


5 7 i5 


5764 


58i3 


5862 


5 9 I2 




883 


5 9 6i 


6010 


6059 


6108 


6157 


62O 7 


6256 


63o5 


6354 


64o3 




884 


6452 


65oi 


655i 


6600 


6649 


6698 


6 7 4 7 


6 79 6 


6845 


68 9 4 




885 


6 9 43 


6992 


704 1 


7 o 9 o 


7140 


7 i8 9 


7238 


728-7 


7 336 


7 385 




886 


7434 


7483 


7 532 


7 58i 


763o 


7 6 79 


7728 


7777 


7826 


7 8 7 5 




N. | 1 


2 


3 


4 


5 


6 


7 


8 


9 


D. 


. f 52 a f 5 


10 


16 


21 


26 


3i 


36 


42 


47 




fe 5i SI 5 


10 


16 


2O 


26 


3i 


36 


4i 


46 




fe 5o M S 


IO 


i5 


20 


25 


3o 


35 


4o 


45 




q I 4 9 * { 5 


10 


i5 


2O 


25 


29 


34 


3 9 


44 





LOGARITHMS OF NUMBERS. 



N. 





1 


2 


3 


4 | 5 


6 


7 


8 


9 


D. 


887 


947924 


7978 


8022 


8070 


8lI 9 


8168 


8217 


8266 


83i5 


8364 


4 9 


888 


84i3 


8462 


85u 


856o 


860 9 


865 7 


8706 


8 7 55 


88o4 


8853 




889 


8902 


8 9 5i 


8999 


9048 


997 


9 i46 


9 i 9 5 


9244 


9292 


9 34i 




890 


9890 


9489 


9 488 


9 536 


9 585 


9 634 


9688 


9781 


9780 


9 82 9 




891 


9878 


9926 


9975 


..24 


..78 


.121 


. 170 


.219 


.267 


.816 




892 


9 5o365 


o4i4 


0462 


o5n 


o56o 


0608 


0657 


0706 


o 7 54 


0808 




8 9 3 


0861 


0900 


0949 


0997 


io46 


lOgS 


u43 


1192 


1240 


1289 




894 


1888 


1886 


i435 


i483 


i53 2 


i58o 


1629 


1677 


1726 


i 77 5 




8 9 5 


1828 


1872 


1920 


1969 


2017 


2066 


2Il4 


2168 


2211 


2260 


48 


896 


2808 


2356 


24o5 


2453 


2502 


255o 


2 5 99 


2647 


2696 


2744 




897 


2792 


2841 


2889 


2988 


2986 


3o34 


3o83 


8181 


3i8o 


8228 




898 


8276 


3325 


33 7 3 


3421 


3470 


35i8 


3566 


36i5 


3663 


3 7 n 




899 


8760 


8808 


3856 


8905 


3 9 53 


4ooi 


4o4g 


4o 9 8 


4i46 


4i 9 4 




900 


4243 


4291 


433 9 


438 7 


4435 


4484 


4532 


458o 


4628 


46 77 




901 


4726 


4??3 


4821 


4869 


4918 


4966 


5oi4 


5o6 2 


5no 


5i58 




902 


6207 


5 2 55 


53o3 


535i 


53 99 


544 7 


5495 


5543 


55 9 2 


564o 




908 


5688 


5 7 36 


5784 


5832 


588o 


5928 


5976 


6024 


6072 


6120 




904 


6168 


6216 


6265 


6818 


636i 


6409 


645 7 


65o5 


6553 


6601 




906 


6649 


6697 


6 7 45 


6 79 3 


684o 


6888 


6986 


6984 


7082 


7080 




906 


7128 


7176 


7224 


7272 


7820 


7 368 


7416 


7464 


7512 


7 55 9 




997 


7607 


7655 


7708 


775 1 


7799 


7 84 7 


7894 


7942 


799 


8088 




908 


8086 


8i34 


8181 


8229 


8277 


8325 


8878 


8421 


8468 


85i6 




909 


8564 


8612 


865 9 


8707 


8 7 55 


8808 


885o 


8898 


8 9 46 


8994 




910 


9041 


9089 


9 i3 7 


9i85 


9 232 


9 28o 


9828 


9 3 7 5 


9 423 


9471 




911 


95i8 


9566 


9614 


9661 


-979 


97 5 7 


9804 


9852 


99 


9947 




912 


9995 


..42 


..90 


.188 


.i85 


.288 


.280 


.828 


.876 


.428 




9 i3 


960471 


o5i8 


o566 


o6i3 


0661 


070 9 


0756 


0804 


o85i 


0899 




914 


0946 


0994 


io4i 


1089 


n36 


n84 


1281 


1279 


1826 


i3 7 4 


47 


916 


1421 


1469 


i5i6 


i563 


1611 


i658 


1706 


i 7 53 


1801 


1 848 




916 


i8 9 5 


1943 


1990 


2088 


2o85 


2182 


2180 


2227 


2275 


2822 




917 


2869 


2417 


2464 


25ll 


255 9 


2606 


2653 


2701 


2748 


2795 




918 


2843 


2800 


2 9 3 7 


2985 


'8082 


8079 


8126 


8174 


8221 


8268 




919 


33i6 


3363 


34io 


345 7 


35o4 


3552 


35 99 


3646 


36 9 3 


3 7 4i 




920 


8788 


3835 


8882 


8929 


8977 


4024 


4071 


4n8 


4i65 


4212 




921 


4a6o 


43o 7 


4354 


44oi 


4448 


44 9 5 


4542 


4590 


463 7 


4684 




922 


4?3i 


4778 


4825 


4872 


4919 


4 9 66 


5oi3 


5o6i 


5io8 


5i55 




928 


6202 


5249 


52 9 6 


5343 


5390 


5437 


5484 


553i 


5578 


5625 




924 


5672 


5719 


5766 


58i3 


586o 


5 9 o 7 


5 9 54 


6001 


6o48 


6oo5 




925 


6142 


6189 


6286 


6288 


6829 


6376 


64s3 


6470 


65 1 7 


6564 




926 


66u 


6658 


6705 


6752 


6799 


6845 


68 9 2 


6989 


6986 


7o33 




927 


7080 


7127 


7 i 7 3 


7220 


7267 


73i4 


736i 


7408 


7454 


75oi 




928 


7548 


7 5 9 5 


7642 


7688 


7735 


7782 


7820. 


7 8 7 5 


7922 


7969 




929 


8016 


8062 


8109 


8i56 


8208 


824 9 


82 9 6 


8343 


8890 


8436 




980 


8483 


853o 


8576 


8628 


8670 


8716 


8768 


8810 


8856 


8908 




9 3! 


8 9 5o 


8996 


9o43 


9090 


9186 


9 i83 


9 22 9 


9276 


9828 


9869 




982 


9416 


9 463 


9 5o 9 


9 556 


9602 


9 64 9 


9 6 9 5 


9742 


9789 


9 835 




988 


9882 


9928 


9975 


. .21 


..68 


.n4 


.161 


.207 


.254 


.800 




934 


970347 


0893 


o44o 


o486 


o533 


o57 9 


0626 


0672 


0719 


0765 


46 


935 


0812 


o858 


0904 


ogSi 


0997 


io44 


io 9 o 


1187 


1188 


1229 




986 


1276 


1822 


1869 


i4i5 


i46i 


i5o8 


i554 


1601 


1 647 


1698 




987 


1740 


1786 


i832 


1879 


1925 


1971 


2018 


2064 


2110 


2157 




988 


2^208 


2249 


2295 


2842 


2888 


2434 


2481 


2527 


2 5 7 3 


2619 




989 


21666 


2712 


2 7 58 


2804 


285i 


2897 


2 9 43 


2989 


3o35 


8082 




940 


8128 


3i74 


8220 


8266 


33i3 


SSSg 


34o5 


345 1 


34 9 7 


3543 




94 1 


35 9 o 


3636 


3682 


8728 


3 77 4 


8820 


3866 


8918 


3 9 5 9 


4oo5 




942 


4o5i 


4097 


4i43 


4i8 9 


4235 


4281 


4827 


43 7 4 


4420 


4466 




943 


45i2 


4558 


46o4 


465o 


46 9 6 


4742 


4 7 88 


4834 


488o 


4926 




N. 





1 


2 


3 


4 


5 


6 


7 


8 


9 


D. 


u 


48 f 5 


10 


i4 


19 . 


24 


2 9 


34 


38 


43 




. 


4 7 M 5 


9 i4 


*9 


24 


28 


33 


38 


42 




. 


46 * I 5 


9 r4 


18 


28 


28 


32 


37 


4i 





LOGARITHMS OF NUMBERS. 



N. 





1 


2 


3 4 5 


6 


7 


8 


9 


D. 


944 


97497 2 


6018 


5o64 


5no 


5i56 


52O2 


5248 


5 29 4 


534o 


5386 


46 


945 


5432 


5478 


5524 


55 7 o 


56i6 


5662 


5 7 o 7 


5 7 53 


5 799 


5845 




946 


58 9 i 


5 9 3 7 


5 9 83 


6029 


6o 7 5 


6121 


6i6 7 


6212 


6258 


63o4 




94? 


635o 


63 9 6 


6442 


6488 


6533 


65 79 


6625 


6671 


6717 


6 7 63 




948 


6808 


6854 


6900 


6 9 46 


6992 


73 7 


7 o83 


7 I2 9 


7 i 7 5 


7 22O 




949 


7266 


7312 


7 358 


7 4o3 


7449 


7 4 9 5 


7 54i 


7 586 


7632 


7 6 7 8 




9 5o 


7724 


7769 


7 8i5 


7861 


7906 


79 52 


799 s 


8o43 


8o8 9 


8i35 




9 5i 


8181 


8226 


82 7 2 


8317 


8363 


84o 9 


8454 


85oo 


8546 


85 9 i 




o5'2 


8637 


8683 


8 7 28 


8774 


8810 


8865 


8 9 n 


8 9 56 


9 OO2 


9 o4 7 




953 


9 o 9 3 


9 i38 


9184 


9 23o 


9275 


9 32I 


9 366 


9 4i2 


9 45 7 


9 5o3 




954 


9 548 


9^94 


9 63 9 


9 685 


97 3o 


9776 


9 82I 


9 86 7 


99 I2 


99 58 




9 55 


9 8ooo3 


oo4 9 


oo 9 4 


oi4o 


oi85 


023l 


02 7 6 


0322 


o36 7 


O4l2 


45 


966 


o458 


o5o3 


o54 9 


o5 9 4 


o64o 


o685 


o 7 3o 


o 77 6 


0821 


o86 7 




967 


O 9 I2 


9 5 7 


ioo3 


1048 


io 9 3 


n3 9 


n84 


I22 9 


I2 7 5 


1320 




968 


i366 


i4n 


i456 


i5oi 


i54 7 


l5 9 2 


i63 7 


i683 


I 7 28 


i 77 3 




9 5 9 


i8i 9 


1 864 


i 9 o 9 


i 9 54 


20OO 


2o45 


20 9 


2i35 


2181 


2226 




960 


2271 


2 3i6 


2362 


2407 


2452 


24 97 


2543 


2588 


2633 


2 6 7 8 




961 


2723 


276 9 


2814 


2 85 9 


2 9 04 


2 9 4 9 


2 99 4 


3o4o 


3o85 


3i3o 




962 


3175 


3220 


3265 


33io 


3356 


34oi 


3446 


34 9 i 


3536 


358i 




9 63 


3626 


36 7 i 


3 7 i6 


3762 


38o 7 


3852 


38 9 7 


3 9 42 


3987 


4o32 




964 


4077 


4l22 


4i6 7 


4212 


425 7 


4302 


434 7 


43 9 2 


443 7 


4482 




9 65 


4627 


45 7 2 


46i 7 


4662 


4 7 o 7 


4 7 52 


4797 


4842 


488 7 


4 9 32 




966 


4 9 77 


5022 


5o6 7 


5lI2 


5i5 7 


52O2 


5 2 4 7 


5292 


533 7 


5382 




967 


5426 


9*71 


55i6 


556i 


56o6 


565i 


56 9 6 


5 7 4i 


5 7 86 


583o 




968 


6876 


5 9 2O 


5 9 65 


6010 


6o55 


6100 


6:44 


6i8 9 


6234 


62 79 




969 


6324 


636 9 


64i3 


6458 


65o3 


6548 


65 9 3 


663 7 


6682 


6 7 2 7 




97 


6772 


6817 


6861 


6 9 o6 


6 9 5i 


6 99 6 


7 o4o 


7 o85 


7 i3o 


7 i 7 5 




971 


7 2I 9 


7264 


7 3o 9 


7 353 


7398 


7 443 


7 488 


7 532 


7 5 77 


7622 




972 


7666 


7711 


77 56 


7800 


7 845 


7 8 9 o 


79 34 


7979 


8024 


8068 




973 


8n3 


8i5 7 


8202 


8247 


8291 


8336 


838i 


8425 


84 7 o 


85i4 




974 


855 9 


86o4 


8648 


86 9 3 


8 7 3 7 


878,2 


8826 


8871 


8 9 i6 


8 9 6o 




976 


9 oo5 


9 o4 9 


9 o 9 4 


9 i38 


9 i83 


9 22 7 


9272 


9 3i6 


9 36i 


9 4o5 




976 


9 45o 


9 4 9 4 


9 53 9 


9 583 


9 628 


9 6 7 2 


9717 


976i 


9 8o6 


9 85o 


44 


977 


9 8 9 5 


99 3 9 


99 83 


..28 


..72 


.II 7 


.161 


.206 


.250 


.2 9 4 




978 


99 o33 9 


o383 


0428 


0472 


o5i6 


o56i 


o6o5 


o65o 


o6 9 4 


o 7 38 




979 


o 7 83 


0827 


o8 7 i 


o 9 i6 


o 9 6o 


ioo4 


1049 


io 9 3 


n3 7 


1182 




980 


1226 


1270 


i3i5 


i35 9 


i4o3 


1 448 


l4 9 2 


i536 


i58o 


i6 2 5 




981 


i66 9 


I 7 i3 


i 7 58 


1802 


1 846 


i8 9 o 


i 9 35 


i 979 


2023 


2O6 7 




982 


2III 


2i56 


2200 


2244 


2288 


2333 


2377 


2421 


2465 


25o 9 




9 83 


2554 


25 9 8 


2642 


2686 


2 7 3o 


2774 


28l 9 


2863 


2 9 7 


2 9 5i 




984 


2 99 5 


3o3 9 


3o83 


3l2 7 


3l 7 2 


32i6 


3260 


33o4 


3348 


33 9 2 




986 


3436 


348o 


3524 


3568 


36r3 


365 7 


3701 


3 7 45 


3 7 8 9 


3833 




986 


38 7 7 


3 9 2I 


3 9 65 


4oo 9 


4o53 


4o 97 


4i4i 


4i85 


4229 


42 7 3 




987 


43i 7 


436i 


44o5 


444 9 


44 9 3 


453 7 


458i 


4625 


4669 


4 7 i3 




988 


4 7 5 7 


48oi 


4845 


488 9 


4 9 33 


4 9 77 


5021 


5o65 


5io8 


5i5 2 




989 


5i 9 6 


524o 


5284 


5328 


53 7 2 


54i6 


546o 


55o4 


554 7 


55 9 i 




99 


5635 


567 9 


5723 


5 7 6 7 


58n 


5854 


58 9 8 


5 9 4a 


5986 


6o3o 




991 


6074 


6117 


6161 


62o5 


624 9 


62 9 3 


633 7 


638o 


6424 


6468 




992 


65i2 


6555 


65 99 


6643 


668 7 


6731 


6774 


6818 


6862 


6 9 o6 




99 3 


6 9 4 9 


6 99 3 


7 o3 7 


7080 


7124 


7168 


7212 


7 255 


7299 


7 343 




99 4 


7 386 


743o 


7474 


7 5i 7 


7 56i 


7 6o5 


7 648 


7 6 9 2 


7736 


7779 




99 5 


7823 


7867 


7 9 io 


7954 


7998 


8o4i 


8o85 


8l2 9 


8l 7 2 


8216 




99 6 


825 9 


83o3 


8347 


83 9 o 


8434 


84 77 


852i 


8564 


8608 


8652 




997 


86 9 5 


8 7 3 9 


8782 


8826 


8869 


8 9 i3 


8 9 56 


9 ooo 


9043 


9 o8 7 




99 8 


9 i3i 


9 i 7 4 


9 2l8 


9261 


9 3o5 


9 348 


9 3 9 2 


9 435 


9479 


9 522 




999 


9 565 


9609 


9 652 


9696 


97 3 9 


9783 


9 826 


9 870 


99 i3 


99 5 7 


43 


N. 


| 1 


2 


3 


4 


5 


6 


7 


8 


9 


D. 


. f 46 * f 5 


9 


i4 


18 


23 


28 


32 


37 


4i 




JS j 45 Si 5 


9 


i4 


18 


23 


2 7 


32 


36 


4i 




I 44- 1 4 


9 


i3 


18 


22 


26 


3i 


35 


4o 




p I 43 { 4 


9 


i3 


i? 


22 


26 


3o 


34 


3 9 





TABLE 



OF 



LOGARITHMIC SINES AID TANGENTS 



FOR EVERY 



TEN SECONDS OF THE QUADRANT. 



LOGARITHMIC SINES. 



Min. 


Sine of Degree. 




P. Prt 




0" 


10" 


20" 


30" 


40" 


50" 




to 1". 





Inf. Neg. 


5.685575 


5.9866o5 


6.162696 


6.287635 


6.384545 


5 9 




1 


6.463726 


6.53o6 7 3 


6.588665 


639817 


6855 7 5 


726968 


58 




2 


764756 


799518 


83i7o3 


861666 


889695 


916024 


5 7 




3 


940847 


964328 


9 866o5 


7.007794 


7.027997 


7-o473o3 


56 




4 


7.065786 


7.o835i5 


7.ioo548 


116939 


i32 7 33 


i4797 3 


55 




5 


162696 


176936 


190725 


204089 


217054 


229643 


54 




6 


241877 


253 77 6 


265358 


276639 


287635 


2 9 8358 


53 




7 


3o8824 


319043 


329027 


338 7 8 7 


348332 


357672 


52 




8 


3668r6 


3 7 5 77 i 


384544 


3 9 3i45 


401578 


409850 


5i 




9 


417968 


425 9 3 7 


433762 


44i449 


449002 


456426 


5o 




10 


463726 


470904 


477966 


4849i5 


491754 


498488 


49 


68 9 .4 


ii 


5o5n8 


5n64 9 


5i8o83 


524423 


530672 


536832 


48 


62 9 .4 


12 


542906 


548897 


5548o6 


56o635 


56638 7 


572065 


47 


579. i 


i3 


5 77 668 


583201 


588664 


594059 


599388 


6o4652 


46 


536.2 


i4 


6o 9 853 


614993 


620072 


625093 


63oo56 


634964 


45 


499.2 


i5 


63 9 8i6 


6446 i 5 


649361 


654o56 


658701 


663297 


44 


467.0 


16 


667845 


672345 


676799 


681208 


6855 7 3 


689895 


43 


438. 7 


J 7 


694173 


698410 


702606 


706762 


710879 


714957 


te 


4i3.6 


18 


718997 


722999 


726965 


730896 


734791 


7 3865i 


4i 


391.3 


J 9 


742478 


746270 


75oo3i 


753758 


7 5 7 455 


761119 


4o 


371.2 


20 


764754 


7 68358 


771932 


775477 


778994 


782482 


3 9 


353.1 


21 


7 85 9 43 


7 8 9 3 7 6 


792782 


796162 


7995i5 


802843 


38 


336.7 


22 


806146 


809423 


812677 


815906 


819111 


822292 


37 


321.7 


23 


8 2 545i 


828586 


831700 


834791 


83 7 86o 


840907 


36 


3o8.o 


24 


843 9 34 


846 9 3 9 


849924 


85 2 88 9 


855833 


858 7 5 7 


35 


2 9 5.4 


25 


861662 


864548 


86 7 4i5 


870262 


873092 


875902 


34 


283.8 


26 


878695 


881470 


884228 


886968 


889690 


892396 


33 


273.1 


27 


895085 


8 977 58 


900414 


9o3o54 


905678 


908287 


32 


263.2 


28 


910879 


9 i345 7 


916019 


9i8566 


921098 


923616 


3i 


254.0 


29 


926119 


928608 


931082 


933543 


935989 


938422 


3o 


245.4 


3o 


940842 


943248 


94564i 


948020 


950387 


952741 


29 


237.3 


3i 


955082 


957411 


959727 


962031 


964322 


966602 


28 


229.8 


32 


968870 


971126 


97 33 7 o 


9756o3 


977824 


980034 


27 


222.7 


33 


982233 


984421 


986598 


988764 1 990919 


993064 


26 


2:6.1 


34 


995198 


997322 


999435 


8.ooi538 3.oo363i 


8.005714 


25 


209.8 


35 


8.007787 


8.009850 


8.011903 


013947 015981 


oi8oo5 


24 


203.9 


36 


O20O2I 


032027 


024023 


026011 027989 


029959 


23 


198.3 


3 7 


03I9I9 


o338 7 i 


o358i4 


037749 039675 


041592 


22 


193.0 


38 


o435oi 


o454oi 


047294 


049178 o5io54 


052922 


21 


188.0 


3 9 


054781 


o56633 


o58477 


o6o3i4 


062142 


o63 9 63 


20 


183.2 


4o 


065776 


067582 


069380 


071171 


072955 


074731 


'9 


178.7 


4i 


076500 


078261 


080016 


081764 o835o4 


o85238 


id 


174.4 


42 


086965 


088684 


090398 


092104 093804 


095497 


J 7 


170.3 


43 


097183 


o 9 8863 


ioo537 


102204 io3864 


io55i9 


16 


166.4 


44 


107167 


108809 


no444 


112074 113697 


n53i5 


i5 


162.6 


45 


116926 


ii853 2 


I2Ol3l 


121725 I233i3 


124895 


i4 


iSg. i 


46 


126471 


128042 


129607 


i3n66 132720 


134268 


i3 


155.6 


47 


i358io 


i3 7 348 


138879 


i4o4o6 ] 141927 


143443 


12 


i52.4 


48 


144953 


146458 


147959 


149453 


i 50943 


152428 


II 


149.2 


49 


153907 


155382 


156852 


~ i 583x6 


159776 


i6i23i 


IO 


i46.a 


5o 


162681 


164126 


165566 


167002 


168433 


169859 


9 


i43.3 


5i 


171280 


172697 


174109 


175517 


176920 


178319 


8 


i4o.5 


52 


179713 


i8uo3 


182488 


183869 


185245 


186617 


7 


i37.9 


53 


187985 


189348 


190707 


192062 


I 9 34i3 


194760 


6 


i35.3 


54 


196102 


I9744o 


198774 


200104 


2oi43o 


202752 


5 


i32.8 


55 


204070 


205384 


206694 


2O8OOO 


209302 


210601 


4 


i3o.4 


56 


211895 


2i3i85 


214472 


2l5755 


217034 


218309 


3 


128.1 


57 


219581 


220849 


2221 l3 


223374 


22463i 


225884 


2 


125. 9 


58 


227134 


228380 


229622 


23o86i 


232096 


233328 


I 


123.7 


5 9 


234557 


235782 


237003 


238221 


239436 


240647 


O 


121. 6 




OOP 


50" 


40" 


30" 20" 


10" 






1 


Co-sine of S9 Degrees. 


Min. 





LOGARITHMIC TANGENTS. 



Min. 


Tangent of Degree. 




P. Part 




0" 


10" 


20" 


30" 40" | 50" 




to 1 . 





Inf. Neg. 


5.6855 7 5 


5. 9 866o5 


6. 162696 


6.28 7 635 


6.384545 


5 9 




I 


6.463 7 26 


6.53o6 7 3 


6.588665 


639817 


6855 7 5 


726968 


58 




2 


7 64 7 56 


799 5i8 


83i 7 o3 


861666 


889695 


916024 


57 




3 


9 4o84 7 


964329 


9 866o5 


7.007794 


7 O2 799 8 


7 .o4 7 3o3 


56 




4 


7 .o65 7 86 


7 .o835i5 


7.ioo548 


116939 


i32 7 33 


147973 


55 




5 


162696 


I 7 6 9 3 7 


I 9 O725 


204089 


2i 7 o54 


229643 


54 




6 


24i8 7 8 


253 777 


26535 9 


276640 


28 7 635 


298359 


53 




7 


3o8825 


319044 


32 9 028 


338 7 88 


348333 


357673 


52 




8 


366817 


3 7 5 77 2 


384546 


393146 


4oi5 79 


409852 


5i 




9 


4i 797 o 


425939 


433 7 64 


44i45i 


449004 


456428 


5o 




10 


463 7 2 7 


4-70906 


477968 


484917 


4 9 i 7 56 


498490 


49 


68 9 .4 


ii 


5o5i2o 


5n65i 


5i8o85 


524426 


53o6 7 5 


536835 


48 


620.. 4 


12 


542 9 o 9 


548900 


5548o8 


56o638 


5663 9 o 


5-72068 


47 


5 79 .i 


i3 


577672 


583204 


588667 


5g4o62 


699391 


6o4655 


46 


536.2 


i4 


609857 


614996 


620076 


625097 


63oo6o 


634968 


45 


499.2 


i5 


639820 


644619 


649366 


654o6i 658706 


663302 


44 


46 7 .o 


16 


66 7 849 


6 7 235o 


676804 


681213 6855 7 8 


689900 


43 


438. 7 


1-7 


6941-79 


698416 


702612 


7 o6 7 68 7 io885 


714963 


42 


4i3.6 


18 


719003 


7 23oo5 


726972 


730902 7 34 7 9 7 


7 38658 


4i 


3 9 i.3 


*9 


742484 


7 462 77 


750037 


7 53 7 65 


7 5 7 462 


76112-7 


4o 


371.3 


20 


7 64 7 6i 


7 68365 


771940 


77 5485 


7-79002 


782490 


3 9 


353.1 


21 


7 85 9 5i 


7 8 9 384 


792790 


7 96i 7 o 


799524 


802852 


38 


336.7 


22 


8o6i55 


809433 


812686 


8i5 9 i5 


819120 


822302 


37 


321.7 


23 


825460 


828596 


831710 


8348oi 


83 7 8 7 o 


840918 


36 


3o8.o 


24 


843944 


846950 


849935 


852900 


855844 


858 7 69 


35 


2 9 5.4 


25 


861674 


86456o 


867426 


8 7 O2 7 4 


8 7 3io4 


8 7 5 9 i5 


34 


283.9 


26 


8-78708 


88i483 


884240 


886981 


889-704 


892410 


33 


2 7 3.2 


27 


895099 


8 9777 2 


900428 


9o3o68 


905692 


9o83oi 


32 


263.2 


28 


910894 


913471 


9 i6o34 


9i858i 


921113 


92363i 


3! 


254.0 


29 


926134 


928623 


931098 


933559 


986006 


9 3843 9 


3o 


245.4 


3o 


94o858 


943265 


9 45658 


948o3 7 


95o4o4 


952 7 58 


29 


23 7 .3 


3i 


gSSioo 


9 5 7 428 


959745 


962049 


964341 


966621 


28 


22 9 .8 


32 


968889 


97 ii45 


97 338 9 


9 7 5622 


977844 


980054 


2 7 


222.7 


33 


982253 


984441 


986618 


988-785 


990940 


99 3o85 


26 


216.2 


34 


995219 


997343 


999457 


8.ooi56o 


8.oo3653 


3.oo5 7 36 


25 


20 9 .8 


35 


8.007809 


8.009872 


8.011926 


0139-70 


016004 


oi8o2 9 


24 


2o3. 9 


36 


O20044 


O22o5l 


024048 


026o35 


028014 


029984 


23 


i 9 8.3 


37 


031945 


o338 9 7 


o3584o 


o3 777 5 


039-701 


041618 


22 


i 9 3.o 


38 


043527 


045428 


047321 


049205 


o5io8i 


052949 


21 


188.0 


3 9 


054809 


o56662 


o585o6 


o6o342 


0621-71 


063992 


2O 


i83.3 


4o 


o658o6 


067612 


069410 


O 7 I2OI 


0-72985 


o 7 4 7 6i 


I 9 


178.7 


4i 


076531 


0782 9 3 


080047 


O8l 7 95 


o83536 


o852 7 o 


18 


i 7 4.4 


42 


086997 


088717 


090431 


092l3 7 


o 9 383 7 


095530 


i 7 


170.3 


43 


097217 


098897 


100571 


IO2239 


108900 


io5554 


16 


166.4 


44 


107203 


io8845 


no48i 


II2IIO 


n3 7 34 


n535 2 


15 


162.7 


45 


116963 


n856 9 


120169 


I2i 7 63 


i2335i 


124933 


i4 


i5 9 .i 


46 


i265io 


128081 


129646 


i3i2o6 


i32 7 6o 


i343o8 


i3 


i55. 7 


47 


i3585i 


i3 7 38 9 


138921 


i4o44 7 


' 141969 


143485 


12 


i5 2 .4 


48 


144996 


i465oi 


i48ooi 


i4949 7 


15098-7 


l524 7 2 


II 


i4 9 .3 


49 


153952 


i55426 


156896 


i5836i 


159821 


i6i2 7 6 


IO 


146.2 


5o 


162727 


164172 


i656i3 


16-7049 


168480 


i6 99 o6 


9 


i43.4 


5i 


171328 


172745 


I74i58 


I 7 5566 


1-76969 


i 7 8368 


8 


i4o.6 


52 


I 797 63 


i8n53 


182538 


183919 


185296 


186668 


7 


137.9 


53 


i88o36 189400 


190760 


192115 


193466 


I 9 48i3 


6 


135.3 


54 


196156 197494 


198829 


200159 


2oi485 


202808 


5 


i3 2 .8 


55 


204126 ao544o 


206750 


2o8o5 7 


209359 


2io658 


4 


i3o.4 


56 


211953' 213243 


2i453o 


2i58i4 


21-7093 


2i836 9 


3 


128.1 


57 


219641 220909 


222174 


223434 


224692 


225945 


2 


I25. 9 


58 


227195 228442 


229685 


230924 


232160 


2333 9 2 


I 


123.8 


5 9 


234621 235846 


237068 


238286 


339502 


24o 7 i3 


o 


121 .7 




60" 50" i 40" 


30" 


20" 


10" 








Co-tangent of 89 Degrees. 


Min. 





LOGARITHMIC SINES. 



Mia. 


Sine of 1 Degree. 




P. Part 




0" 


10" 


20" 


30" 


40" 50" 




to 1". 


O 


8.24i855 


8. 243o6o 


8.244261 


8.245459 


8.246654 8.24 7 845 


5 9 


119.6 


I 


249033 


250218 


25i4oo 


2525 7 8 


253 7 53 254925 


58 


117 7 


2 


256094 


257260 


258423 


2 5 9 58 2 


26o 7 39 261892 


5? 


iiS.S 


3 


263042 


264190 


265334 


2664 7 5 


267613 


268 7 49 


56 


114.0 


4 


269881 


271010 


272137 


2 7 3260 


2 7 438i 


275499 


55 


112. 2 


5 


276614 


277726 


2 7 8835 


2 7 994i 


28io45 


282145 


54 


1*0.5 


6 


283243 


284339 


28543i 


286521 


28 7 6o8 


288692 


53 


IOS.8 


7 


289773 


290852 


291928 


298002 


294073 j 295141 


52 


IO7.2 


8 


296207 


297270 


298330 


299388 


3oo443 | 301496 


5i 


105.7 


9 


3o2546 


3o3594 


3o4639 


3o568i 


3o6 7 2i 307759 


5o 


104.1 


10 


8.308794 


8.309827 


8.3io857 


8.3n885 


8.312910 8.3i3 9 33 


4 9 


IO2.6 


ii 


3i4 9 54 


315972 


316987 


3i8ooi 


319012 


320021 


48 


IOI .2 


12 


321027 


322031 


323o33 


324o32 


325029 


326024 


47 


99.8 


i3 


327016 


328007 


328995 


329980 


330964 


33i 9 45 


46 


98.5 


i4 


332924 


333 9 oi 


334876 


335848 


3368i 9 


33 77 8 7 


45 


97.1 


i5 


338 7 53 


339717 


340679 


34i638 


342596 


34355i 


44 


9 5.8 


16 


3445o4 


345456 


3464o5 


34 7 35 


3482 97 


349240 43 


94.6 


17 


35oi8i 


351119 


352056 


352991 


353924 


354855 


42 


93.4 


18 


355 7 83 


356 7 io 


35 7 635 


358558 


35 9 4 79 


36o3 9 8 


4i 


92.2 


X 9 


36i3i5 


36223o 


363i43 


364o55 


364 9 64 


3658 7 i 


4o 


91.0 


20 


8.366777 


8.36 7 68i 


8.368582 


8.369482 


8.370380 


8. 3 7 i2 77 


3 9 


89.9 


21 


372171 


3 7 3o63 


3 7 3 9 54 


3 7 4843 


3 7 5 7 3o 


3 7 66i5 


38 


88.8 


22 


377499 


3 7 838o 


379260 


38oi38 


38ioi5 


381889 


3? 


87.7 


23 


382762 


383633 


384502 


3853 7 o 


386236 


387100 


36 


86.7 


24 


387962 


388823 


389682 


3oo53 9 


SgiSgS 


392249 


35 


85.6 


25 


3 9 3ioi 


393951 


394800 


3 9 564 7 


396493 


3 97 33 7 


34 


84.6 


26 


3 9 8 I79 


399020 


399859 


4oo6 9 6 


4oi532 


402366 


33 


83. 7 


27 


403199 


4o4o3o 


4o4859 


4o568 7 


4o65i4 


4o 7 338 


32 


82.7 


28 


408161 


408983 


409803 


410621 


4n438 


412254 


3i 


81.8 


29 


4i3o68 


4i388o 


414691 


4i55oo 


4i63o8 


417114 


3o 


80.8 


3o 


8.417919 


8.418722 


8.419524 


8.42o325 


8.42II23 


8.421921 


29 


80.0 


3i 


422717 


4235ii 


4243o4 


425o 9 6 


425886 


426675 


28 


79..! 


32 


427462 


428248 


429032 


429815 


43o59 7 


43i3 77 


27 


78.2 


33 


432i56 


432 9 34 


433 7 io 


434484 


43525 7 436029 


26 


77-4 


34 


4368oo 


437569 


43833 7 


439103 


43 9 868 


44o632 


25 


76.6 


35 


44i3 9 4 


442i56 


442915 


4436 7 4 


44443i 


445i86 


24 


7 5.8 


36 


445 9 4i 4466 9 4 


44 7 446 


448196 


448 9 46 


449694 


23 


7 5.o 


3? 


45o44o 45u86 


451930 


45 2 6 7 3 


4534i4 


454i54 


22 


74.2 


38 


454893 45563i 


456368 


45 7 io3 


45 7 83 7 


458570 


21 


7 3.5 


3 9 


45 9 3oi 46oo32 


46o 7 6i 


461489 


462215 


462941 


2O 


7 2 -7 


4o 


8.463665 8.464388 


8.465no 


8.46583o 


8.46655o 


8.467268 


J 9 


7 2.O 


4i 


467985 468701 


469416 


4 7 oi29 


470841 


4 7 i553 


18 


7 1.3 


42 


472263 472971 


4 7 36 79 


4 7 4386 


475091 


475795 


*7 


70.6 


43 


476498 477200 


4 779 oi 


478601 


4 79 2 99 


479997 


16 


69.9 


44 


48o6 9 3 ! 48 i 388 


482083 


482776 


48346 7 


484i58 


i5 


69.2 


45 


484848 485536 


486224 


486910 


48 7 5 9 6 


488280 


i4 


68.6 


46 


488 9 63 489645 


490326 


491006 


4 9 i685 


492363 


i3 


67.9 


4? 


498040 493715 


494390 


495o64 


495 7 36 


496408 


12 


67.3 


48 


497078 497748 


498416 


499084 


499 7 5o 


5oo4i6 


II 


66.7 


49 


5oio8o 


501743 


5o24o5 


5o3o67 


5o3 7 2 7 


5o4386 


IO 


66.1 


5o 


8.5o5o45 


8.5o57O2 


8.5o6358 


8. 507014 


8.5o 7 668 


8.5o83 2 i 


9 


65.5 


5i 


508974 


509625 


5io2 7 5 


510925 


5ii5 7 3 


5l222I 


8 


64. 9 


52 


512867 


5i35i3 


5i4i5 7 


5i48oi 


5 i5444 


5i6o86 


7 


64.3 


53 


516726 


5i7366 


5i8oo5 


5i8643 


519280 


519916 


6 


63. 7 


54 


52o55i 


521186 


521819 


52245i 


523o83 


523 7 i3 


5 


63.2 


55 


524343 


524972 


525599 


526226 


526852 


527477 


4 


62.6 


56 


528102 


528725 


52934 7 


529969 j 


53o59o 


531209 


3 


62.1 


5? 


531828 


532446 


533o63 


5336 79 


534295 


534909 


2 


61.6 


58 


5355 2 3 


536i36 


536 7 4 7 


53 7 358 


53 79 6 9 


5385 7 8 


I 


61.1 


5 9 


539186 : 539794 


54o4oi 


54ioo 7 


54i6i2 


542216 


O 


6o.5 




60" 50" 


40" 


30" 


20" 


10" 








Co-sine of 88 Degrees. 


Min. 





LOGARITHMIC TANGENTS. 



Min. 


Tangent of 1 Degree. 




P. Part 




0" 


10" 


20" 


30" 


40" 


50" 




to 1". 





8.241921 


8.243126 


8.244328 


8.245526 


8.246721 


8.247913 


5 9 


II9-7 


I 


249102 


250287 


251469 


252648 


253823 


254996 


58 


117.7 


2 


256i65 


25 7 33i 


258494 


25 9 654 


260811 


261965 


57 


n5,8 


3 


263n5 


264263 


2654o8 


266549 


267688 


268824 


56 


n4.o 


4 


269956 


271086 


272213 


273337 


274458 


275576 


55 


112. 2 


5 


276691 


277804 


278913 


280020 


281124 


282225 


54 


no. 5 


6 


2833 2 3 


284419 


2 855i2 


286602 


287689 


288774 


53 


io8. 9 


7 


289856 


290935 


292012 


293086 


294157 


295226 


52 


107.2 


8 


296292 


2 97 355 


298416 


299474 


3oo53o 


3oi583 


5i 


105.7 


9 


3o 2 634 


3o3682 


304727 


305770 


3o68u 


307849 


5o 


104.2 


10 


8.3o8884 


8.309917 


8.310948 


8.311976 8.3i3oo2 


8.3i4o25 


49 


102.7 


ii 


3i5o46 


3i6o65 


317081 


3i8o 9 5 


319106 


32on5 


48 


loi.S 


12 


32II22 


322127 


323129 


324l2 9 


325i26 


326121 


47 


99-8 


i3 


327II4 


328io5 


329093 


33oo8o | 33io64 


332045 


46 


9 8>5 


U 


333025 


334oo2 


334 9 77 


335 9 5o ! 336921 


337890 


45 


97-2 


i5 


338856 


339821 


340783 


34i 7 43 


342701 


343657 


44 


9 5. 9 


16 


3446io 


345562 


3465i2 


347459 


3484o5 


349348 


43 


9 4.6 


J 7 


350289 


351229 


352i66 


353ioi 


354o35 


354966 


42 


93.4 


18 


3558 9 5 


3568 2 3 


35 77 48 


3586 7 i 


SSgSgS 


36o5i2 


4i 


9 2.2 


*9 


36i43o 


362345 


363259 


364171 


365o8i 


365 9 88 


4o 


9 I.I 


20 


8.866895 


8.36 7799 


8.368701 


8.369601 


8.37o5oo 


8.371397 


3 9 


8 9 . 9 ^ 


21 


372292 


3 7 3i85 


374076 


3 7 4965 


3 7 5853 


376738 


38 


88.8 


22 


377622 


3 7 85o4 


3 79 385 


380263 


38n4o 


382oi5 


37 


87.8 


23 


382889 


383760 


38463o 


385498 


386364 


387229 


36 


86.7 


24 


388092 


388 9 53 


389813 


390670 


391526 


392381 


35 


85. 7 


25 


393234 


3 9 4o85 


394934 


395782 


396628 


397472 


34 


84.7 


26 


3 9 83i5 


399156 


399996 


4oo834 


401670 


4o25o5 


33 


83.7 


27 


4o3338 


404.170 


4o5ooo 


4o5828 


4o6655 


407480 


32 


82.8 


28 


4o83o4 


409126 


409946 


410765 


4n583 


412399 


3i 


81.8 


29 


4i32i3 


414026 


4i483 7 


4i5647 


4i6456 


417263 


3o 


80. 9 


3o 


8.4i8o68 


8.418872 


8.419674 


8.420475 


8.421274 


8.422072 


2 9 


80.0 


3i 


422869 


423664 


424458 


42525o 


426041 


42683o 


28 


7 9 .i 


32 


427618 


428404 


4a 9 i8 9 


42 99 73 


43o 7 55 


43i536 


27 


7 8.3 


33 


4323i5 


433093 


433870 


434645 


4354i9 


436191 


26 


77.5 


34 


436962 


43 77 3 2 


4385oo 


43 9 267 


44oo33 


440797 


25 


76.6 


?5 


44i56o 


442322 


443082 


44384i 


444599 


445355 


24 


7 5.8 


36 


446no 


446864 


447616 


448368 


449117 


449866 


23 


7 5.o 


37 


45o6i3 


45i35 9 


452io4 


452847 


45358 9 


45433o 


22 


74,3 


38 


455070 


4558o8 


456545 


457281 


458oi6 


458749 


21 


7 3.5 


3 9 


459481 


460212 


46o 9 42 


461670 


462398 


463i24 


2O 


72.8 


4o 


8.463849 


8.464572 


8.465 29 5 


8. 466016 


8.466 7 36 


8. 46 7 455 


*9 


72.1 


4i 


468172 


46888 9 


46 9 6o4 


47o3i8 


47io3i 


471743 


18 


7 i.3 


42 


472454 


473i63 


473872 


4745 79 


475285 


475990 


J 7 


70.7 


43 


476693 


477396 


478o 9 7 


478798 


479497 


480195 


16 


70.0 


44 


480892 


48 i 588 


482283 


482976 


483669 


48436o 


i5 


69.3 


45 


485o5o 


48574o 


486428 


487115 


487801 


488486 


i4 


68.6 


46 


489170 


489852 


4 9 o534 


491215 


491894 


492573 


i3 


68.0 


4? 


4 9 325o 


493927 


4 9 46o2 


495276 


495949 


496622 


12 


67.4 


48 


497293 


497963 


4 9 8632 


499300 


499967 


5oo633 


II 


66.8 


49 


501298 


501962 


5o2625 


503287 


5o3948 


5o46o8 


IO 


66.1 


5o 


8. 505267 


8.5o5925 


8.5o658 2 


8. 507238 


8.507893 


8.5o8547 


9 


65.5 


5i 


509200 


509852 


5io5o3 


5m53 


5n8o2 


5i245i 


8 


65.o 


62 


5 i 3098 


5i3 7 44 


5i438 9 


5i5o34 


5i56 7 7 


5i632o 


7 


64.4 


53 


516961 


517602 


518241 


5i888o 


5i 9 5i8 


52oi54 


6 


63.8 


54 


520790 


52i425 


522O5 9 


522692 


523324 


523956 


5 


63.3 


55 


5a4586 


5252i5 


525844 


526472 


527098 


527724 


4 


62.7 


56 


528349 


528973 


52 9 5 9 6 


53o2i8 


53o84o 


53i46o 


3 


62.2 


5 7 


532o8o 


532698 


5333i6 


533 9 33 


534549 


535i64 


2 


61.6 


58 


535 779 


5363 9 2 


537oo5 


53 7 6i 7 


538227 


538837 


I 


61.1 


5 9 


53 9 447 


54oo55 


540662 


541269 


54i8 7 5 


54248o 


O 


60.6 




fiO 50" | 40" 


30" 


20" 


10" 








Co-tangent of 88 Degrees. 


Min. 





26 



LOGARITHM c SINES. 



i 


Sine of 2 Degrees. 




d 


Sine of 3 Degrees. 




8 


0" 


10" 


20" 


30' 


40" 


50" 




9 


0" 


10" 


20" 


30" 


40" 


50" 







8.542819 


3422 


4023 


4624 


5224 


58 2 3 


5 9 


o 


8. 7 i88oo 


9 2O2 


9 6o3 


...4 


4o4 


.8o4 


5 9 


1 


6422 


7 oi 9 


7616 


8212 


8807 


9 4oi 


58 


I 


8. 7 2I204 


i6o3 


20O2 


2401 


2799 


3i 97 


58 


2 


999 5 


.58 7 


1179 


I 77 


236! 


2 9 5o 


57 


2 


35 9 5 


3 99 2 


438 9 


4785 


5i8i 


55 77 


57 


3 


8 55353 9 


4126 


4?i3 


53oo 


5885 


64 7 o 


56 


3 


5 97 2 


636 7 


6762 


7 i56 


7 55o 


7943 


56 


4 


7054 


7 63 7 


8219 


8801 


9 38i 


99 6i 


55 


4 


8337 


872 9 


9 I22 


9 5i4 


9906 


2 97 


55 


5 


8.56o54o 


1119 


1696 


2273 


284 9 


3425 


54 


5 


8. 7 3o688 


io 79 


i46 9 


i85 9 


224 9 


2638 


54 


6 


3999 


45 7 3 


5i46 


5719 


62 9 o 


6861 


53 


6 


3027 


34i6 


38o4 


4l 9 2 


45 7 9 


4 9 6 7 


53 


7 


743 1 


8000 


856 9 


9 i3 7 


9 7o4 


.2 7 O 


52 


7 


5354 


5 7 4o 


6126 


65i2 


68 9 8 


72 83 


52 


8 


8.570836 


i4oi 


1965 


2528 


3o 9 i 


3653 


5i 


8 


7667 


8o52 


8436 


8820 


9 2o3 


9 586 


5i 


9 


4214 


4 77 4 


5334 


58 9 3 


645 1 


7 oo 9 


5o 


9 


99 6 9 


.352 


7 34 


in5 


i4 9 7 


i8 7 8 


5o 


10 


7 566 


8122 


8678 


9 232 


97 86 


.34o 


49 


10 


8. 7 4225 9 


2 63 9 


3oi 9 


33 99 


3 77 8 


4i5 7 


49 


ii 


8. 58o8 9 2 


1 444 


i 99 5 


2546 


3o 9 6 


3645 


48 


ii 


4536 


4 9 i4 


52 9 3 


5670 


6o48 


6425 


48 


12 


4i 9 3 


474i 


5 2 88 


5834 


638o 


6 9 25 


47 


12 


6802 


7178 


7 554 


79 3o 


83o5 


8680 


47 


i3 


7 46 9 


8oi3 


8556 9098 


9 64o 


.181 


46 


i3 


9 o55 


9 43o 


9 8o4 


.178 


.55i 


.924 


46 


i4 


8.590721 


1260 


1799 2338 


2 8 7 5 


34i2 


45 


i4 


8.751297 


i6 7 o 


2042 


24i4 


2786 


3i5 7 


45 


i5 


3 9 48 


4484 


5oi 9 !5553 


6087 


66i 9 


44 


i5 


3528 


38 9 8 


426 9 


463 9 


5oo8 


53 7 8 


44 


16 


7152 


7 683 


8214 


8 7 45 


9 2 7 4 


9 8o3 


43 


16 


5 7 4 7 


6116 


6484 


6852 


7220 


7 58 7 


43 


J 7 


8.6oo332 


0859 


i38 7 


I 9 i3 


243 9 2 9 64 


42 


l l 


79 55 


832i 


8688 


9 o54 


9 42O 


9786 


42 


18 


348 9 


4012 


4536 5o58 


558o6io2 


4i 


18 


8.760151 


o5i6 


0881 


1245 


1609 


i 97 3 


4i 


X 9 


6623 


7143 


76628181 


86 99 


9 2I 7 


4o 


J 9 


2337 


2 7 OO 


3o63 


3425 


3 7 8 7 


4i49 


4o 


20 


97 34 


. 2 5i 


.766 1282 


i 79 6 


23lO 


3 9 


20 


45ii 


48 7 2 


5 2 34 


55 9 4 


5 9 55 


63i5 


39 


21 


8.612823 


3336 


3848 436o 


48 7 i 


538i 


38 


21 


6675 


7 o34 


7 3 9 4 


77 52 


8111 


846 9 


38 


22 


5891 


64oo 


69097417 


79 24 


843 1 


37 


22 


8828 


9 i85 


9 543 


99 


. 2 5 7 


.6i3 


37 


23 


8 9 3 7 


9 442 


9947 .452 


. 9 56 


i45 9 


36 


23 


8. 77 o 97 o 


i326 


1681 


2o3 7 


2392 


2747 


36 


24 


8.621962 


2464 


2 9 65 3466 


3 9 66 


4466 


35 


24 


3ioi 


3456 


38io 


4i63 


45i 7 


48 7 o 


35 


25 


4 9 65 


5464 


5962 6459 


6 9 56 


7 453 


34 


25 


5223 


55 7 5 


5 9 2 7 


62 79 


663 1 


6 9 82 


34 


26 


7948 


8444 


8938^432 


99 26 


.419 


33 


26 


7 333 


7 684 


8o35 


8385 


8 7 35 


9 o85 


33 


27 


8.630911 


i4o3 


i8 9 42385 


28 7 5 


3365 


32 


2 7 


9 434 


9783 


.132 


.48o 


.829 


"77 


32 


28 


3854 


4342 


483o53i 7 


58o4 


6291 


3i 


28 


8. 7 8i524 


1872 


22I 9 


2566 


2912 


325 9 


3i 


29 


6776 


7262 


77468230 


8714 


9 i 97 


3o 


2 9 


36o5 


3 9 5i 


42 9 6 


464i 


4986 


533i 


3o 


3o 


9680 


.162 


.643 1124 


i6o4 


2084 


29 


3o 


56 7 5 


6oi 9 


6363 


6 77 


7o5o 


7 3 9 3 


29 


3i 


8.642563 


3o42 


3520 3998 


44 7 5 


4 9 52 


28 


3i 


7736 


8078 


8421 


8762 


9104 


9 446 


28 


32 


5428 


5 9 o4 


63 79 6854 


7328 


7801 


27 


32 


97 8 7 


.128 


.468 


.808 


1149 


i486 


27 


33 8274 


8 7 4 7 


9219 9690 


.161 


.632 


26 


33 


8. 79 i828 


2167 


25o6 


2845 


3i83 


352i 


26 


34|8.65iio2 


i5 7 i 


2040 25o8 


2 97 6 


3444 


25 


34 


385 9 


4i97 


4534 


4872 


52o8 


5545 


25 


351 3 9 n 


43 77 


484353o8 


5 77 3 


6238 


24 


35 


588i 


6218 


6553 


688 9 


7224 


7 55 9 


24 


36 6702 


7 i65 


7628 8090 


8552 


9014 


23 


36 


7 8 9 4 


822 9 


8563 


8897 


9231 


9 564 


23 


3?| 94? 5 


99 35 


.3 9 5 .855 


:3i4 


1772 


22 


37 


9 8 97 


.230 


.563 


.896 


1228 


i56o 


22 


38J8.662230 


2688 


3i4536o2 


4o58 


45i3 


21 


38 


8.801892 


2223 


2554 


2885 


32i6 


3546 


21 


3 9 


4968 


5423 


58 7 7633i 


6 7 84 


72 3 7 


2O 


3 9 


38 7 6 


42O6 


4536 


4866 


5i 9 5 


5524 


20 


4o 


7689 


8i4i 


8592 943 


9 4 9 4 


9944 


19 


4o 


5852 


6181 


65o 9 


6837 


7 i65 


7 4 9 2 


'9 


4i 


8.670393 


0842 


1291 1739 


2187 


2634 


18 


4i 


7819 


8i46 


8473 


8799 


9126 


9 45i 


18 


42 


3o8o 


35 27 


3 97 2 i 44r8 


4863 


53o 7 


17 


42 


9777 


.io3 


.428 


. 7 53 


1078 


1402 


17 


43 


5 7 5i 


6i 9 4 


6638 7 o8o 


7522 


7964 


16 


43 


8.811726 


2o5o 


23 7 4 


2698 


3021 


3344 


16 


44 


84o5 


8846 


9286!9 7 26 


.166 


.6o5 


i5 


44 


366 7 


3 9 8 9 


43i2 


4634 


4956 


5277 i5 


45 


8. 68io43 


i48i 


19192356 


2 79 3 


323o 


i4 


45 


55 99 


5 9 20 


6241 


656i 


6882 


7202' i4 


46 


3665 


4ioi 


45364971 


54o5 


5838 


i3 


46 


7522 


7841 


8161 


848o 


8799 


9ii8i3 


4? 


6272 


6 7 o5 


71377569 


8001 


8432 


12 


47 


9 436 


97 55 


.. 7 3 


.390 


. 7 o8 


I025|I2 


48 


8863 


9 a 9 3 


97 23 


.152 


.58i 


1010 


II 


48 


8.821343 


i65 9 


i 97 6 


2292 


2609 


2 9 25 


II 


49 


8.691438 


1866 


2293 


2720 


3i46 


35 7 2 


IO 


49 


324o 


3556 


38 7 i 


4i86 


45oi 


48i6 


IO 


5o 


3 99 8 


4423 


4848 


5272 


56 9 6 


6120 


9 


5o 


5i3o 


5444 


5 7 58 


6072 


6385 


66 9 8 


9 


Si 


6543 


6966 


7 388 


7810 


8232 


8653 


8 


5i 


7011 


7 324 


7 63 7 


7949 


8261 


85 7 3 


8 


52 


97 3 


9494 


99 i3 


.333 


. 7 52 


1171 


7 


52 


8884 


9 i 9 6 


9 5 7 


9818 


. 129 


.43 9 


7 


53 


8.7oi58 9 


2OO 7 


2424 


2841 


3258 


36 7 4 


6 


53 


8.83o74 9 


1060 


i36 9 


1679 


1988 


22 9 8 


6 


54 


4o 9 o 


45o5 


4 9 20 


5335 


5 7 4 9 


6i63 


5 


54 


2607 


2 9 i5 


3224 


3532 


384o 


4i48 


5 


55 


65 7 7 


6990 


7402 


7 8i5 


8226 


8638 


4 


55 


4456 


4 7 63 


5070 


53 77 


5684 


5 99 i 


4 


56 


9 o4 9 


9460 


9870 


.280 


.6 9 o 


1099 


3 


56 


6297 


66o3 


6 9 o 9 


7 2l5 


7 520 


7825 


3 


5? 


8.711507 


1916 


2324 


2 7 3l 


3i3 9 


3546 


2 


57 


8i3o 


8435 


8 7 4o 


9044 9348 


9 652 


2 


58 


3 9 52 


4358 


4764 


5i6 9 


55 7 4 


5 979 


I 


58 


99 56 


.260 


.563 


.866 1169 


1472 


I 


5 9 


6383 


6787 


7I 9 


7 5 9 3 


799 6 


83 9 8 


O 


5 9 


8.841774 


2O 7 6 


23 7 8 


2680J2 9 82 


3 2 83 


O 




60" 


50" 


40" 


30" 


20" 


10" 


a 




60" 


50" 40" 


30" | 20" 


10" 


g 




Co-sine of 87 Degrees. 


s 




Co-sine of 86 Degrees. 


S 


.< 1" 2'' 3" 4" 5" 6" 7" 8" 9" 


( I" 2" 3" 4" 5" 6" 7" 8" 9" 


irt } 48 96 145 192 241 289 33$ 386 434 


Lrt } 34 69 103 138 172 207 241 275 310 



LOGARITHMIC TANGENTS. 



27 



B 


Tangent of 2 Degrees. - 




a 


Tangent of 3 Degrees. 




9 


0" 


10" 


20" 


30" | 40 


50" 




& 


0" 


10" 


20" 


30" 


40" 50" 




o 


8.543o84 


3687 


4289 


4891 


5492 


6o 9 2 


5 9 


o 


8.719396 


9798 


.2OI 


.6o3 


ioo4 


i4o5 


59 


I 


6691 


7289 


7 88 7 


8483 


9079 


9674 


58 


I 


8.721806 


220 7 


2607 


3oo 7 


34o6 


38o5 


58 


2 


8. 55o268 


0862 


i454 


2046 


2 63 7 


3227 


57 


2 


4204 


i6o2 


5ooo 


53 97 


5-794 


6191 


57 


3 


3817 


44o5 


4993 


558o 


6166 


6752 


56 


3 


6588 


6984 


7380 


777 5 


8i 7 o 


8565 


56 


4 


7336 


7920 


85o3 


9 o85 


9 66 7 


248 


55 


4 


8 9 5 9 


9353 


9746 




533 


925 


55 


5 


8.56o828 


i4o 7 


i 9 85 


2 563 


3i4o 


(716 


54 


5 


8. 7 3i3i 7 


79 


2IOI 


2492 


2883 


32 7 3 


54 


6 


4291 


4866 


544o 


6oi3 


6585 


7 i5 7 


53 


6 


3663 


4o53 


4442 


483i 


5220 


56o8 


53 


7 


7727 


8298 


886 7 


9 435 


...3 


5 7 o 


52 


7 


5 99 6 


6384 


6771 


7 i58 


7 545 


79 3i 


52 


8 


8.5 7 n37 


1702 


226 7 


2832 


3395 


3 9 58 


5i 


8 


83i 7 


8 7 o3 


9088 


9 4 7 3 


9 858 


242 


5i 


9 


452O 


5o8i 


5642 


6201 


6760 


7319 


5o 


9 


8.740626 


1009 


i3 9 3 


1776 


2i58 


254o 


5o 


10 


7877 


8434 


8990 


9 545 


. IOO 


.654 


J9 


10 


2922 


33o4 


3685 


4o66 


4447 


4827 


49 


ii 


8.58i2o8 


1760 


2312 


2864 


34i4 


3 9 64 




ii 


5207 


5586 


5g66 


6344 


6 72 3 


7101 


48 


-12 


45i4 


5o62 


56io 


6i5 7 


6 7 o4 


7249 


i? 


12 


7479 


7 85 7 


8234 


8611 


8988 


9 364 


47 


i3 


7795 


833 9 


8883 


9 426 


9968 


.5io 


46 


i3 


9740 


.116 


.491 


.866 


1241 


i6i5 


46 


i4 




i5 9 x 


2l3l 


26-70 


3208 


3746 


45 


i4 


8.751989 


2363 


2 7 36 


3109 


3482 


3855 


45 


i5 


4283 


4820 


5355 


58 9 o 


6425 


6959 


44 


i5 


4227 


4599 


4970 


534i 


5712 


6o83 


44 


16 


7492 


8024 


8556 


9 o8 7 


9618 


.147 


43 


16 


6453 


6823 


7 i 9 3 


7562 


7931 


83oo 


43 


l l 


8.600677 


1205 


i 7 33 


2260 


2 7 8 7 


33i3 


42 


l l 


8668 


9036 


9404 


9771 


.i3 9 


.5o5 


42 


18 


3839 


4363 


488 7 


54n 


5 9 34 


6456 


4i 


18 


8.760872 


1238 


1604 


1970 


2335 


2700 


4i 


19 


6978 


7499 


8019 


853 9 


9 o58 


9 5 7 6 


4o 


19 


3o65 


3429 


3 79 3 


4i5 7 


452O 


4884 


4o 


20 


8.610094 


0612 


1128 


1 644 


2160 


26 7 5 


3 9 


20 


5246 


56og 


5 97 i 


6333 


66 9 5 


7 o56 


3 9 


21 


3i8 9 


3702 


42 1 5 


4 7 28 


524o 


5 7 5i 


38 


21 


7417 


7778 


8i3 9 


8499 


885 9 


9218 


38 


22 


6262 


6772 


-7281 


779 


82 9 8 


8806 


3? 


22 


9 5 7 8 


99 3 7 


.295 


.654 


IOI2 


1370 


3 7 


23 


93i3 


9819 


.325 


.83o 


i335 


1839 


36 


23 


8. 77 i 7 2 7 


2o85 


2442 


2798 


3i55 


35n 


36 


24 


8.622343 


2846 


3348 


385o 


435i 


4852 


35 


24 


3866 


4222 


45 77 


4932 


5287 


564i 


35 


25 


5352 


585i 


635o 


6849 


7 346 


7 844 


34 


25 


5 99 5 


634 9 


6702 


7 o56 


74o 9 


7761 


34 


26 


834o 


8836 


9332 


9 82 7 


.321 


.8x5 


33 


26 


8n4 


8466 


8817 


9169 


9 520 


9871 


33 


27 


8.63i3o8 


1801 


2293 


2 7 85 


32 7 6 


3 7 66 


32 


2 7 


8.780222 


o5 7 2 


0922 


1272 


1622 


1971 


32 


28 


4256 


4746 


5235 


5 7 23 


6211 


6698 


3i 


28 


2320 


2669 


3017 


3365 


3 7 i3 


4o6i 


3i 


29 


7i84 


7671 


8i56 


864i 


9 I26 


9610 


3o 


2 9 


44o8 


4755 


5 1 02 


5448 


5 79 4 


6i4o 


3o 


3o 


8.640093 


o5 7 6 


io58 


i54o 


2O2I 


25O2 


29 


3o 


6486 


683i 


7177 


7 52I 


7866 


8210 


29 


3i 


2982 


3462 


3 9 4i 


4420 


48 9 8 


53 7 6 


28 


3i 


8554 


8898 


9242 


9585 


99 28 


.271 


28 


32 


5853 


6329 


68o5 


7 28l 


77 56 


823o 


27 


32 


8.790613 


o 9 55 


1297 


i63 9 


1980 


2321 


27 


33 


8 7 o4 


91-78 


965i 


. 123 


.5 9 5 


1067 


26 


33 


2662 


3oo3 


3343 


3683 


4023 


4362 


26 


34 


8.65i537 


2008 


24-78 


2 9 4 7 


34i6 


3884 


25 


34 


4 7 oi 


5o4o 


53 79 


5 7 i8 


6o56 


63 9 4 


25 


35 


4352 


4820 


5286 


5 7 53 


62I 9 


6684 


24 


35 


6 7 3i 


7069 


7 4o6 


7743 


8o 79 


84i6 


24 


36 


7149 


7 6i3 


8o 77 


854i 


9 oo4 


9 466 


23 


36 8752 


9088 


g423 


97 5 9 


.. 9 4 


.429 


23 


3? 


9928 


.38 9 


.85o 


i3n 


1771 


2230 


22 


37 


8.800763 


1098 


1432 


i 7 65 


2099 


2432 


22 


38 


8.662689 


3i48 


36o6 


4o63 


4520 


4977 


21 


38 


2 7 65 


3o 9 8 


343 1 


3 7 63 


4095 


4427 


21 


3 9 


5433 


588 9 


6344 


6 799 


72 53 


7707 


2O 


3 9 


4 7 58 


Sogo 


5421 


5 7 5i 


6082 


6412 


20 


4o 


8160 


86i3 


9065 


9 5i 7 


9968 




19 


4o 


6742 


7072 


7/J02 


77 3i 


8060 


8389 


19 


4i 


8.670870 


1320 


I 7 6 9 


2218 


2667 


3ii5 


18 


4i 


8717 


9 o46 


9 3 7 4 


97 oi 


..29 


.356 


18 


42 


3563 


4oio 


445 7 


4903 


5349 


5 79 4 


17 


42 


8.8io683 


IOIO 


i33 7 


i663 


1989 


23i5 


17 


43 


6 2 3 9 


6684 


7 I28 


7 5 7 2 


8oi5 


845 7 


16 


43 


2641 


2966 


3291 


36i6 




4265 


16 


44 


8900 


9341 


9783 


.222 


.664 


1104 


i5 


44 


4589 


4913 


5 2 3 7 


556o 


5884 


6207 


i5 


45 


8.68i544 


i 9 83 


2422 


2860 


3298 


3 7 35 


i4 


45 


6529 


6852 


7174 


?4 23 


7 8i8 


8i4o 


i4 


46 


4172 


46o8 


5o44 


5480 


5gi5 


635o 


i3 


46 


846i 


8782 


910: 




9 7 44 


..64 


i3 


47 


6784 


-7218 


7 65 2 


8o85 


85i 7 


8 9 5o 


12 


47 


8.820382 


0703 


102: 


1 342 


1661 


1980 


12 


48 


9381 


9 8i3 


.244 


.6 7 4 


1104 


i534 


II 


48 


229^ 


2617 


2935 


3253 


35 7 o 


3888 


II 


49 


8.691963 


23 9 2 


2820 


3248 


3675 


4io3 


10 


49 


42o5 


4522 


4838 


5i55 


54 7 i 


5 7 8 7 


10 


5o 


4529 


4 9 56 


538i 


58o 7 


6232 


6656 


9 


5o 


6io3 


64i8 


6 7 33 


7049 


7 363 


7678 


9 


Si 


7081 


7 5o2 


79 28 


835i 


8773 


9 i 9 5 


8 


5i 


799 2 


83o 7 


8621 


8 9 34 


924^ 


956i 


8 


52 


9617 


..38 




.880 


i3oo 


1720 


7 


52 


9 8 7 4 


.187 


.5oo 


.812 


1 1 22 


i436 


7 


53 


8.702139 


2558 


29-76 


33g5 


38i2 


4230 


6 


53 


8.83i 7 48 


2059 


23 7 I 


2682 


2992 


33o3 


6 


54 


4646 


5o63 


54 7 9 


5895 


63io 


6725 


5 


54 


36i3 


3 9 24 


4234 


4543 


4853 


5i6 2 


5 


55 


7 i4o 


7 554 


79 6 7 


838i 


8 79 4 


9206 


4 


55 


54 7 i 


5 7 8o 


6089 


63 97 


6 7 o5 


701^ 


4 


56 


9618 


..3o 


.442 


.853 


1263 


1672 


3 


56 


7 32I 


7629 


7936 


8243 


855o 


885 7 


3 


5 7 


8. 7 i2o83 


24 9 3 


2902 


33xi 


3 7 i 9 


4127 


2 


57 


9 i63 


9470 


9776 


..81 


.38 7 


.692 


2 


58 


4534 


4942 


5348 


5 7 55 


6161 


6567 


I 


58 


8.840998 


i3o3 


160-7 


1912 


2216 


2521 


I 


5 9 


69-72 


7377 


7781 


8186 


858 9 


8 99 3 


O 


5 9 


2825 


3i28 


3432 


3 7 35 


4o38 


434i 


O 




60" 


50" 


40" 


30" 


20" 


10" 


rt 




60" 


50" 


40" 


30" 


20" 


10" 


d 




Co-tangent of 87 Degrees. 


1 




Co-tangent of 86 Degrees. 


9 


, .5 I" 2" 3" 4" 5" 6" 7" 8" 9" 


C 1" 2" 3" 4" 5" 6" 7" 8" 9" 


lrl } 48 97 145 193 242 290 338 387 435 


drt { 35 69 104 138 173 207 242 276 311 



LOGARITHMIC SINES. 



1 


Sine of 4 Degrees. 






Sine of 5 Degrees. 




H 


0" 


10" 


20" 


30" 


40" 


50" 






0" 


10" 20" 


30" 


40" 


50" 




o 


8.843585 


3886 


4i86 


448 7 


4?7 


6087 


5 9 


o 


8.940296 


o53 7 


0777 


IOI 7 


1258 


1498 


59 


i 


538 7 


5687 


5 9 8 7 


6286 


6585 


6884 


58 


I 


173? 


1977 


2217 


245 7 


2696 


2 9 35 


58 


2 


7i83 


748 1 


7780 


80-78 


83 7 6 


86 7 3 


57 


2 


8174 


34x3 


3652 


3891 


4129 


4368 


5 7 


3 


8971 


9268 


9 565 


9862 


.i5 9 


.455 


56 


3 


46o6 


4844 


5o83 


532i 


5558 


5 79 6 


56 


4 


8.85o75i 


io4 7 


1 343 


i63 9 


i 9 34 


2229 


55 


4 


6o34 


6271 


65o8 


6 7 45 


6982 


7219 


55 


5 


2525 


2819 


3n4 


34o8 


3 7 o3 


3 997 


54 


5 


7456 


7 6 9 3 


7929 


8166 


8402 


8638 


54 


6 


4291 


4584 


48 7 8 


5i 7 i 


5464 


5 7 5 7 


53 


6 


88 7 4 


9110 


9 345 


9 58i 


9817 


..52 


53 


7 


6049 


6342 


6634 


6926 


7218 




52 


7 


8.950287 


O522 


7 5 7 


0992 


1227 


i46i 


5a 


8 


7801 


8092 


8383 


86 7 4 


8 9 65 


9255 


5i 


8 


1696 


1930 


2164 


23 9 8 


2632 


2866 


5i 


9 


9 546 


9 836 


.126 


.4i5 


.705 


994 


5o 


9 


3ioo 


3333 


356 7 


38oo 


4o33 


4266 


5o 


10 


8.861283 


I5 7 2 


1861 


2149 


2438 


2726 


49 


10 


4499 


4732 


4965 


5197 


5429 


5662 


49 


ii 


3oi4 


3302 


358 9 


38 77 


4i64 


445 1 


48 


ii 


58 9 4 


6126 


6358 


65go 


6821 


7 o53 


48 


12 


4738 


5o24 


53n 


55 97 


5883 


6169 


47 


12 


7284 


7 5i6 


7 7 4 7 


7978 


8209 


844o 


47 


i3 


6455 


6 7 4o 


7025 


7 3io 


7 5 9 5 


7880 


46 


i3 


8670 


8901 


9i3i 


9362 


9592 


9822 


46 


i4 


8i65 


844 9 


8733 


901-7 


9 3oi 


9585 


45 


i4 


8.960052 


0282 


o5n 


0741 


0970 


I2OO 


45 


i5 


9868 


. i5i 


.434 


717 


IOOO 


1282 


44 


i5 


1429 


i658 


188-7 


2116 


2344 


2 5 7 3 


44 


16 


8.87i565 


i84 7 


2129 


2410 


26 9 2 


2973 


43 


16 


2801 


3o3o 


3258 


3486 


3714 


3 9 42 


43 


17 


3 2 55 


3536 


38i 7 


409-7 


4378 


4658 


42 


17 


4170 


4397 


46 2 5 


4852 


5o8o 


53o 7 


42 


18 


4938 


5 2 i8 


5498 


5 777 


6o5 7 


6336 


4i 


18 


5534 


5 7 6i 


5 9 8 7 


6214 


644i 


6667 


4i 


19 


66i5 


68 9 4 


7172 


7 45i 


7729 


8007 


4o 


19 


6893 


7120 


7 346 


75-72 


7797 


8o23 


4o 


20 


8 2 85 


8563 


884i 


9118 


9 3 9 5 


9672 


3 9 


20 


8249 


8474 


8700 


8 9 25 


9i5o 


9 3 7 5 


3 9 


21 


9949 


.226 


.5o3 


779 


io55 


i33i 


38 


21 


9600 


9825 


..49 


.274 


.498 


. 7 23 


38 


22 


8.881607 


i883 


2i58 


2433 


2708 


2 9 83 


37 


22 


8.970947 


1171 


1395 


1619 


1842 


2066 


37 


23 


3258 


3533 


3807 


4o8i 


4355 


462 9 


36 


23 


2289 


2 5i3 


2 7 36 


2959 


3182 


34o5 


36 


24 


4903 


5i 77 


545o 


5 7 23 


5 99 6 


626 9 


35 


24 


3628 


385i 


4o 7 3 


4296 


45i8 


474o 


35 


25 


6542 


68i4 


7087 


7 35 9 


763i 


79 3 


34 


25 


4962 


5i84 


54o6 


5628 


585o 


6071 


34 


26 


8i 7 4 


8446 


8717 


8 9 88 


9 25 9 


9 53o 


33 


26 


6293 


65i4 


6 7 35 


6956 


7177 


7 3 9 8 


33 


27 


9801 


..71 


.34i 


.612 


.882 


n5i 


32 


2 7 


7619 


7839:8060 


8280 


85oi 


8-721 


3a 


28 


8.891421 


i6 9 o 


1960 


222 9 


2498 


2767 


3i 


28 


8941 


9161 


938i 


9600 


9820 


..3 9 


3i 


29 


3o35 


33o4 


3572 384o 


4io8 


43 7 6 


3o 


2 9 


8.980259 


o4 7 8 


0697 


0916 


n35 


1 354 


3o 


3o 


4643 


4 9 n 


5i 7 85445 


5712 


5 979 


29 


3o 


i5 7 3 


1791 


2OIO 


2228 


2447 


2665 


29 


3i 


6246 


65i2 


6 77 8j 7 o44 


73io 


7 5 7 6 


28 


3i 


2883 


3ioi 


33i 9 


3536 


3 7 54 


3 97 2 


28 


32 


7842 


8107 


83 7 3 


8638 


8 9 o3 


9 i68 


27 


32 


4189 


44o6 


4623 


484o 


5007 


52 7 4 


27 


33 


9 432 


9 6 97 


9961 


.225 


.48 9 


. 7 53 


26 


33 


54 9 i 


5 7 o8 


5924 


6i4i 


635 7 


65 7 3 


26 


34 


8.901017 


1280 


1 544 


180-7 


2070 


2333 


25 


34 


6789 


7oo5 


7221 


743 7 


7 65 2 


7868 


25 


35 


2596 


2858 


3l2I 


3383 


3645 


39<>7 


24 


35 


8o83 


8299 


85i4 


8729 


8944 


9 l5 9 


24 


36 


4169 


443o 


4692 


4 9 53 


52i4 


5475 


23 


36 


9 3 7 4 


9 588 


9 8o3 


..17 


.232 


.446 


23 


37 


5 7 36 


5 997 


62576517 


6778 


7038 


22 


37 


8.990660 


o8 7 4 


1088 


1302 


i5i6 


I 7 2 9 


22 


38 


7297 


7 55 7 


7817 


8076 


8335 


85 9 5 


21 


38 


1943 


2i56 


2370 


2583 


2796 


30O9 


21 


39 


8853 


9 II2 


9371 


9 62 9 


9888 


.146 


20 


39 


3222 


3435 


3647 


386o 


4072 


4285 


2O 


4o 


8.910404 


0662 


0919 


1177 


i434 


1692 


19 


4o 


4497 


470 9 


4921 


5i33 


5345 


5556 


19 


4i 


1949 


22O6 


2462 2719 


2976 


3232 


18 


4i 


5 7 68 


5 9 8o 


6191 


6402 


66i4 


6825 


18 


42 


3488 


3 7 44 


4ooo 


4256 


45n 


4767 


1-7 


42 


7 o36 


724? 


745 7 


7668 


7879 


8089 


17 


43 


5O22 


52 77 


5532 


5 7 8 7 


6o4i 


62 9 6 


16 


43 


8299 


85io 


8720 


8 9 3o 


9140 


9 35o 


16 


44 


655o 


68o5 


7 5 9 


7 3i3 


7 566 


7820 


i5 


44 


9 56o 


97 6 9 


9979 


.188 


.398 


.607 


i5 


45 


8o 7 3 


832 7 


858o 


8833 


9086 


9 338 


i4 


45 


9.000816 


IO25 


1234 


i443 


i652 


1860 


i4 


46 


9 5 9 i 


9 843 


..96 


.348 


.600 


.852 


i3 


46 


2069 


2277 


2486 


2694 


2902 


3no 


i3 


47 


8.921103 


i355 


1606 


i858 


2109 


236o 


12 


47 


33i8 


3526 


3 7 33 


3 9 4i 


4i49 


4356 


12 


48 


2610 


2861 


3lI2 


3362 


36i2 


3862 


II 


48 


4563 


4771 


4978 


5i85 


5392 


55 99 


II 


49 


4112 


4362 


46l2 


486 1 


5m 


536o 


IO 


49 


58o5 


6012 


6218 


6425 


663i 


683 7 


10 


5o 


5609 


5858 


6107 


6355 


66o4 


6852 


9 


5o 


7 o44 


725o 


7456 


7661 


7 86 7 


8o 7 3 


9 


5i 


7100 


7348 


7 5 9 6 


7844 


8092 


833 9 


8 


5i 


8278 


8484 


8689 


88 9 4 


9100 


9 3o5 


8 


52 


858 7 


8834 


9081 


9 328 


9 5 7 5 


9 82I 


7 


52 


gSio 


9715 


9919 


.124 


.329 


.533 


7 


53 


8.930068 


o3i4 


o56o 


0806 


1052 


I2 9 8 


6 


53 


9.010737 


0942 


n46 


i35o 


i554 


i 7 58 


6 


54 


1 544 


i 7 8 9 


2o35 


2280 


2525 


2770 


5 


54 


1962 


2i65 


2369 


25 7 3 


2776 


2979 


5 


55 


3oi5 


3260 


35o4 


3 7 4 9 


3 99 3 


423 7 


4 


55 


3182 


3385 


3588 


3 79 I 


3 99 4 


419-7 


4 


56 


448 1 


4725 


4969 


5212 


5456 


56 99 


3 


56 


44oo 


4602 


48o5 


5007 


5209 


54n 


3 


$7 


5942 


6i85 


6428 


6671 


6914 


7 i56 


2 


57 


56i3 


58i5 


6017 


6219 


6421 


6622 


2 


58 


7398 


7641 


7 883 


8i25 


8366 


8608 


I 


58 


6824 


7025 


722-7 


7428 


7629 


7 83o 


I 


5 9 


885o 


9 o 9 i 


9 332 


9 5 7 3 


9814 


..55 





5 9 


8o3i 


8232 


8433 


8633 


8834 


qoSt 







60" 


50" 


40" 


30" 


20" 


10" 


^ 




60" 


50" 


40" 


30" 


20" 


10" 


d 




Co-sine of 85 Degrees. 


3 




Co-sine of 84 Degrees. 


fl 

s, 


/ 1 // nil o// 411 K.II ell fll oil nil 
P PortJ l<J-*45b789 

ITI \ 27 53 80 107 134 160 187 214 241 


p p. < 1" 2" 3" 4" 5" 6" 7" 8" 9" 
1 n \ 22 44 66 87 109 131 153 175 197 



LOGARITHMIC TANGENTS. 



1 


Tangent of 4 Degrees. 




d 


Tangent of 5 Degrees. 




2 


0" 


10" 


20" 


30" 


40" 


50" 




S 


0" 


10" 


20" 


30" 40" ) 50" 




o 


.844644 


4 9 46 


5248 


555i 


5852 


6i54 


5 9 


O 


8. 9 4i 9 52 


2I 9 4 


243 7 


26 79 


2 9 2I 


3i63 


5 9 


I 


6455 


6 7 5 7 


7 o58 


7 358 


7 65 9 


79 5 9 


58 


I 


34o4 


3646 


3888 


il2 9 


43 7 


46n 


58 


2 


8260 


856o 


8859 


9 l5 9 


9 458 


97 58 


5 7 


2 


4852 


5o 9 3 


5334 


55 7 4 


58i5 


6o55 


5 7 


3 


8.85oo5 7 


o355 


o654 


9 52 


1260 


1 548 


56 


3 


62 9 5 


5535 


6 77 5 


7 oi5 


7255 


7494 


56 


4 


1 846 


2i44 


s44i 


2738 


3o35 


3332 


55 


4 


77 34 


7973 


1212 


845 1 


8690 


8929 


55 


5 


3628 


3925 


^221 


45i7 


48i3 


5io8 


54 


5 


9168 


9406 


9644 


9 883 


121 


35 9 


54 


6 


54o3 


5699 


SggS 


6288 


6583 


6877 


53 


6 


8.950597 


o834 


O 7 2 


3o 9 


54 7 


1784 


53 


7 


7171 


7465 


77 5 9 


8o53 


8346 


863 9 


52 


7 


2021 


2258 


2495 


2 7 32 


2968 


32o5 


52 


8 


8932 


9225 


9 5i 7 


9 8io 


.102 


3 9 4 


5i 


8 


344i 


36 77 


3 9 i3 


4i4 9 


4385 


4621 


5i 


9 


8.860686 


0977 


I26 9 


i56o 


1861 


2142 


5o 


9 


4856 


5092 


532 7 


5562 


5797 


6o32 


5o 


10 


2433 


2723 


3oi3 


33o3 


SSgS 


3883 


4'9 


IO 


6267 


65o2 


6 7 36 


6 97 i 


7205 


7 43 9 <4Q 


ii 


4i?3 


4462 


4 7 5i 


5o4o 


5329 


5617 


i8 


ii 


7674 


7908 


8i4i 


83 7 5 


8609 


8842 


48 


12 


5 9 o6 


6194 


6482 


6760. 


7^7 


7344 


47 


12 


9075 


9 3o 9 


9 542 


977 5 


..8 


.240 


4? 


i.3 


7632 


7919 


8206 


8492 


8779 


9 o65 


46 


i3 


8.960473 


0706 


o 9 38 


II 7 


1402 


i634 


46 


i4 


935i 


9 63 7 


9923 


.208 


494 


779 


45 


i4 


1866 


2098 


232 9 


2 56i 


2792 


3o23 


45 


i5 


8.871064 


i34 9 


i633 


1918 


22O2 


2486 


44 


i5 


3 2 55 


3486 


3 7 i6 


3 9 47 


4178 


44o8 


44 


16 


2770 


3o54 


3337 


3620 


3904 


4i8 7 


i3 


16 


463 9 


486 9 


5o 99 


532 9 


555 9 


5 7 8 9 


43 


17 


4469 


4752 


5o34 


53i7 


5599 


588i 


i2 


17 


6019 


6248 


64 7 8 


6 7 o 7 


6 9 36 


7i65 


.2: 


18 


6162 


6444 


6725 


7006 


7287 


7 568 


ii 


18 


7 3 9 4 


7623 


7 85 2 


8081 


83o 9 


8538 


Li 


J 9 


7849 


8l2 9 


84o 9 


8689 


8969 


9249 


4o 


J 9 


8766 


8994 


9222 


9 45o 


9678 


99 o5 


lo 


20 


9529 


9808 


..87 


.366 


.645 


.924 


3 9 


20 


8. 9 7oi33 


o36o 


o588 


o8i5 


io4 


I26 9 


3fy 


21 


8.881202 


i48o 


i 7 5 9 


2037 


2 3i4 


2592 


38 


21 


i4 9 6 


1723 


1949 


2176 


2402 


2628 





22 


2869 


3i47 


3424 


3701 


3977 


4254 


37 


22 


2 855 


3o8i 


33o 7 


3532 


3 /7 58 


3 9 84 


3 7 


23 


453o 


4807 


5o83 


5358 


5634 


5910 


36 


23 


420 9 


4435 


466o 


4885 


5no 


5335 


36 


24 


6i85 


646o 


6735 


7010 


7 285 


7 55 9 


35 


24 


556o 


6784 


6009 


6233 


6458 


6682 


35 


25 


7833 


8108 


8382 


8655 


8929 


9202 


34 


25 


6 9 o6 


7i3o 


7 354 


7 5 7 8 


7801 


8025 


34 


26 


9476 


9749 


. .22 


.295 


.56 7 


.84o 


33 


26 


8248 


8472 


86 9 5 


8 9 i8 


9 i4i 


9 364 


33 


27 


8 891112 


i384 


i656 


1928 


2199 


2471 


32 


2 7 


9 586 


9809 


..32 


.254 


.476 


.699 


32 


28 


2742 


3oi3 


3284 


3555 


3825 


4o 9 6 


3i 


28 


8. 9 8o 9 2i 


u43 


i364 


i586 


1808 


2029 


3i 


29 


4366 


4636 


4 9 o6 


5176 


5445 


5715 


3o 


2 9 


225l 


2472 


26 9 3 


2914 


3i35 


3356 


3o 


3o 


5 9 84 


6 2 53 


6522 


6791 


7060 


7 3 2 8 


29 


3o 


3577 


3 79 8 


4oi8 


4238 


445 9 


46 79 


29 


3i 


7 5 9 6 


7864 


8i32 


84oo 


8668 


8935 


28 


3i 


48 99 


5n 9 


5339 


555 9 


5 77 8 


5 99 8 


28 


32 


9203 


9470 


97 3 7 


...4 


.270 


.537 


27 


32 


6217 


643 7 


6656 


6875 


7 o 9 4 


73i3 


2 7 


33 


8.900803 


1069 


i335 


1601 


1867 


2l32 


26 


33 


7 532 


775o 


7969 


8187 


84o6 


8624 


26 


34 


2398 


2663 


2928 


3193 


3458 


3722 


25 


34 


8842 


9 o6o 


9 2 7 8 


9 4 9 6 


97 i4 


99 3i 


25 


35 


3987 


425i 


45i5 


4779 


5o43 


53o6 


24 


35 


8. 99 oi4 9 


o366 


o583 


0801 


1018 


1235 


24 


36 


5570 


5833 


6o 9 6 


635 9 


6622 


6885 


23 


36 


i45i 


1668 


i885 


2IOI 


23i8 


2534 


23 


37 


7147 


7410 


7672 


7934 


8196 


845 7 


22 


37 


2750 


2 9 66 


3i8 2 


33 9 8 


36i4 


383o 


22 


38 


8 7 ! 9 


8980 


9 242 


9 5o3 


9764 


..25 


21 


38 


4o45 


4261 


44?6 


4692 


49<>7 


5l22 


21 


3 9 


8. 910285 


o546 


0806 


1066 


i3 2 6 


1 586 


2O 


3 9 


5337 


5552 


5 7 66 


5981 


6196 


64io 


20 


4o 


1 846 


2106 


2365 


2624 


2883 


3l42 


19 


4o 


662^ 


683 9 


7 o53 


7267 


748i 


7694 


9 


4i 


34oi 


366o 


3 9 i8 


4i77 


4435 


46 9 3 


18 


4i 


7 9 o8 


8122 


8335 


8549 


8762 


8 97 5 


18 


42 


4g5i 


5209 


5466 


5724 


5 9 8i 


6238 


*7 


42 


9 i88 


9401 


9614 


9827 


..4o 


.252 


7 


43 


64g5 


6762 


700 9 


7 265 


7522 


7778 


16 


43 


9 .ooo465 


0677 


0889 


1102 


i3i4 


i5 2 6 


16 


44 


8o34 


8290 


8546 


8801 


9 o5 7 


9312 


16 


44 


i 7 38 


1949 


2161 


23 7 3 


2584 


2 79 5 


i5 


45 


9 568 


9823 


..78 


.332 


.58 7 


.84i 


i4 


45 


3007 


32i8 


3429 


364o 


385! 


4o6i 


i4 


46 


8.921096 


i35o 


1604 


i858 


2112 


2365 


x3 


46 


4272 


4483 


46 9 3 


4904 


5n4 


5324 


i3 


47 


2619 


2872 


3i25 


33 7 8 


363i 


3884 


12 


47 


5534 


5744 


5 9 54 


6i64 


63 7 3 


6583 


12 


48 


4i36 


438 9 


464i 


48 9 3 


5!45 


53 97 


II 


48 


6702 


7002 


7211 


7420 


7629 


7 838 


II 


49 


5649 


5900 


6i5 2 


64o3 


6654 


6905 


IO 


49 


8047 


8256 


8465 


86 7 3 


8882 


9090 


IO 


5o 


7i56 


7407 


7 65 7 


7 9 o8 


8i58 


84o8 


9 


5o 


9 2 9 8 


9 5o 7 


97 i5 


9923 


.i3i 


,338 


9 


5i 


8658 


8908 


9 i58 


9407 


9 65 7 


9906 


8 


5i 


9 .oio546 


075^ 


o 9 6i 


1169 


1376 


i583 


8 


52 


8.93oi55 


o4Oi! 


o653 


0902 


n5o 


l3 99 


7 


52 


1790 


i 99 7 


2204 


2411 


2618 


2824 


7 


53 


1647 


iSgS 


2143 


2391 


2639 


2887 


6 


53 


3o3i 


323 7 


3444 


365o 


3856 


4062 


6 


54 


3i34 


338i 


362 9 


3876 


4i23 


4369 


5 


54 


4268 


4474 


468o 


4886 


5091 


529 7 


5 


55 


46i6 


4862 


5io 9 


5355 


56oi 


5847 


4 


55 


55o2 


5 7 o 7 


5 9 i3 


6118 


6323 


65 2 8 


4 


56 


6o 9 3 


6339 


6584 


683o 


7075 


7320 


3 


56 


6732 


6 9 3 7 


7 l42 


7346 


7 55i 


77 55 


3 


57 


7565 


7810 


8o55 


8299 


8544 


8788 


2 


5 7 


79 5 9 


8i64 


8368 


85 7 2 


8776 


8979 


2 


58 


9 o32 


9276 


9 52O 


9764 


...7 


.251 


I 


58 


9 i8c 


938 7 


9 5 9 o 


9794 


9997 


.200 


I 


5 9 


8. 9 4o4 9 4 


0738 


o 9 8i 


I22/i 


1467 


1709 


O 


5 9 


9 .o2o4o3 


0606 


o8o 9 


1012 


I2l5 


1418 


O 




60" 


50" 


40" 


30" 


20" 


10" 


3 




60" 


50" 


40" 


30* 


20" 


10" 


a 




Co-tangent of 85 Degrees. 


1 




Co-tangent of 84 Degrees. 


i 


p p t < 1"2" 3" 4" 5" 6" 7" 8" 9" 


p p , ( 1" 2" 3" 4" 5" 6" 7" 9" 9" 


irl \ 27 54 81 108 135 162 188 215 242 


' art 22 44 66 88 110 132 154 177 199 



LOGARITHMIC SINES. 



A 


Sine of 6 Degrees. 




J 


Sine of 7 Degrees. 




s 


0" 


10" 


20" 


30" 


40" | W 




8 


0" 


10" 20" 


30" 


40" 


50" 




o 


9.019235 


9 435 


9 635 


9 83!> 


..35 


.235 


5 9 





9.086894 


6066 


6237 


6409 


6680 


6 7 5i 


5 9 


I 


9.o2o435 


o635 


o834 


io34 


1233 


i433 


58 


I 


6922 


79 3 


7264 


7435 


7606 


7777 


58 


2 


:632 


i83i 


2o3o 


2229 


2428 


2627 


57 


2 


7947 


8118 


8288 


845 9 


862 9 


8800 


57 


3 


2826 


3024 


3223 


342i 


36i 9 


38i8 


56 


3 


89709140 


9 3io 


9480 


9 65i 


9820 


56 


4 


4oi6 


42i^ 


44i2 


46io 


48o 7 


5oo5 


55 


4 


999 


.160 


.33o 


.600 


.66 9 


.83 9 


55 


5 


620: 


54oo 


55 9 8 


5 79 5 


6992 


6189 


54 


5 


9.091008 


1178 


1 347 


i5i6 


1686 


i855 


54 


6 


6386 


6583 


6780 


6 977 


7174 


7370 


53 


6 


2024 


2I 9 3 


2362 


253o 


2 6 99 


2868 


53 


7 


7667 


77 63 


7 9 6o8i56 


8352 


8548 


52 


7 


3o3 7 


3206 


3374 


3542 


3 7 n 


38 79 


52 


8 


8 7 44 


8 9 4o 


9 i36| 9 33 2 


9 52 7 


9723 


61 


8 


4047 


4216 


4384 


455 2 


4 7 20 


4888 


61 


9 


9918 


.114 


.3o 9 |.5o4 


.6 99 


8 9 4 


5o 


9 


5o56 


5223 


53 9 i 


555 9 


5 7 26 


58 9 4 


5o 


10 


9.031089 


1284 


1479 


i6 7 3 


186^2062 


49 


10 


6062 


622 9 


63 9 6 


6564 


6 7 3i 


6898 


4 9 


ii 


2267 


2461 


2646 


2 83 9 


3o3J 


3227 


48 


H 


7066 


7232 


7399 


7666 


77 33 


7900 


43 


12 


342i 


36i5 


3809 


4002 


4i 9 6 


438 9 


47 


12 


8066 


8233 


83 99 


8566 


8 7 32 


8899 


47 


i3 


4582 


4776 


4969 


6162 


53555548 


46 


i3 


9066 


9 23l 


9 3 9 8 


9 564 


97 3o 


9896 


46 


i4 


5 7 4i 


5 9 33 


6126 


63i 9 


65i 116703 


45 


i4 


9. 100062 


0227 


o3 9 3 


0669 


0726 


0890 


45 


16 


6896 


7088 


7280 7472 


7 664 7 856 


44 


16 


1066 


1221 


1387 


1662 


1717 


i883 


44 


16 


8o48 


823 9 


843i 


8623 


88i4 


9 oo5 


43 


16 


2048 


2213 


2378 


2543 


2708 


28 7 3 


43 


i 7 


9197 


9388 


9 5 79977 


99 6i 


.162 


42 


17 


3o37 


32O2 


336 7 


353i 


36 9 6 


386o 


42 


i8 9 .o4o342 


o533 


0724 o 9 i4 


1 106 


I2 9 5 


4i 


18 


4026 


4i8 9 


4353 


45i 7 


4682 


4846 


4i 


'9 


i486 


1676 


1866 


2066 


2246 


2435 


4o 


i 9 


5oio 


6174 


533 7 


55oi 


5665 


6829 


4o 


20 


9626 


2816 


3oo4 


3i 9 4 


3383 


3572 


39 


20 


6992 


6166 


63i 9 


6483 


6646 


6810 


3 9 


21 


3762 


3 9 5i 


4i4o 


432 9 


45i8 


4707 


38 


21 


6 97 3 


7i36 


72 99 


7462 


7626 


77 88 


38 


22 


48 9 5 


5o84 


52 7 3 


546i 


565o 


5838 


3 7 


22 


7961 


8n4 


8277 


843 9 


8602 


8 7 65 


3? 


23 


6026 


6214 


6402 


65 9 o 


6 77 8 


6 9 66 


36 


23 




9 o 9 o 


9 252 


9 4i4 


9 5 77 


9739 


36 


-24 


7164 


7342 


7 5 2 9 '77i7 


794 


8o 9 i 


35 


24 


9901 


..63 


.225 


.38 7 


.649 


.711 


35 


25 


8279 


8466 


8653884o 


9 02 7 


9 2l4 


34 


25 


9.110873 


io34 


n 9 6 


i358 


1619 


1681 


34 


26 


9400 


9687, 


9774 


99 6o 


. i4 7 


.333 


33 


26 


1842 


2003 


2166 


2326 


2487 


2648 


33 


2 7 


9.060619 


0706 


0892 


io 7 8 


1264 


i45o 


32 


27 


2809 


2 9 70 


3i3i 


3292 


3453 


36i3 


32 


28 


i635 


1821 


2007 2I 9 2 


2378 


2563 


3i 


28 


3 77 4 


3 9 35 


4o 9 5 


4266 


44i6 


45 77 


3i 


2 9 


2749 


2 9 34 


3n 9 


33o4 


348 9 


36 7 4 


3o 


29 


4 7 3 7 


48 97 


6067 


6218 


5378 


5538 


3o 


3o 


385 9 


4o44 


4228 44i3 


45 97 


4782 


20 


3o 


56 9 8 


5858 


6017 


6177 


633 7 


6497 


29 


3l 


4966 


6160 


5335 


55i 9 


6703 


6887 


28 


3i 


6656 


6816 


6976 


7 i35 


7294 


7453 


28 


32 


6071 


6264 


64386622 


6806 


6 9 8 9 


27 


32 


7 6i3 


7772 


79 3i 


8090 


8249 


84o8 


27 


33 


7172 


7356 


7 53 9 


7722 


7 9 o5 


8088 


26 


33 


8667 


8726 


8884 


9 o43 


9202 


936o 


26 


34 


8271 


8454 


86378820 


9 OO2 


9 i85 


25 


34 


9619 


9677 


9 836 


9994 


!l52 


.3ii 


25 


35 


9 36 7 


9 55o 


97 3 2 99 i4 


.. 9 6 


.278 


24 


35 




0627 


0786 


o 9 43 


HOI 


1269 


24 


36 9.060460 


0642 


0824 


1006 


1 1 88 


i36 9 


23 


36 


1417 


i5 7 4 


1732 


1890 


2047 


2205 


23 


37 


1661 


1732 


i 9 i4 


20 9 5 


2276 


2457 


22 


37 


2362 


2620 


2677 


2835 


2992 


3i49 


22 


38 


2639 


2820 


3opi 


3i8i 


3362 


3543 


21 


38 


33o6 


3463 


3620 


3777 


3 9 34 


4091 


21 


3 9 


3724 


3 9 o4 


4o85 


4265 


4445 


4626 


2O 


3 9 


4248 


44o4 


456i 


4718 


48 7 4 


5o3i 


2O 


4o 


48o6 


4 9 86 


6166 5346 


6626 


6706 


'9 


4o 


6187 


5344 


55oo 


5656 


6812 


6969 


'9 


4i 


5885 


6066 


6244 6424 


66o3 


6 7 83 


18 


4i 


6126 


6281 


6437 


65 9 3 


6748 


6904 


1 8 


42 


6962 


7i4i 


7320 74 99 


7 6 7 8 


7867 


17 


42 


7060 


7216 


7371 


7627 


7682 


7 838 


7 


43 


8o36 


8216 


83 9 3 


8672 


8761 


8 9 2 9 


16 


43 


799 3 


8149 


83o4 


845 9 


86i4 


8770 


16 


44 


9107 


9 286 


9 464 


9642 


9820 


999 8 


i5 


44 


8926 


9080 


9 235 


9 3 9 o 


9544 


9699 


16 


45 


9.070176 


o354 


o53 2 


0709 


0887 


1066 


i4 


45 


9 854 


. . .9 


.163" 


.3i8 


.472 


.627 


i4 


46 


1242 


1420 


1697 


i 77 4 


1961 


2128 


i3 


46 


9.130781 


o 9 36 


io 9 o 


1244 


i3 9 8 


1662 


i3 


47 


23o6 


2482 


26692836 


3oi3 


3i 9 o 


12 


47 


1706 


1860 


20l4 


2168 


2322 


2476 


12 


48 


3366 


3543 


37193896 


4072 


4248 


II 


48 


263o 


2 7 83 


2 9 3 7 


3o 9 i 


3244 


3398 


II 


49 


4424 


46oo 


4777 


4962 


6128 


53o4 


IO 


49 


355i 


3 7 o4 


3858 


4on 


4i64 


43i 7 


IO 


5o 


548o 


5656 


583i 


6007 


6182 


6358 


9 


5o 


4470 


4623 


4776 


4 9 2 9 


6082 


5 2 35 


9 


61 


6533 


6708 


6883 


7068 


7233 


74o8 


8 


Si 


5387 


554o 


56 9 3 


5845 


6998 


6160 


8 


62 


7583 


7758 


7933 


8107 


8282 


845 7 


7 


62 


63o3 


6455 


6607 


676.) 6 9 i2 


7 o64 


7 


53 


863i 


8806 


8980 


9164 


9328 


9 5o2 


6 


53 


7216 


7368 


7620 


76727824 


7976 


6 


54 


9676 


9 85o 


..24 


.108 


.3 7 2 


.545 


5 


54 


8128 


82 79 


843i 


86828734 


8886 


5 


55 


9.080719 


o8 9 2 


1 0*6 6 


1239 


i4i3 


1686 


4 


55 


9 o3 7 


9 i88 


9 34o 


94919643 


979 3 


4 


56 


1769 


I 9 32 


2106 


227812461 


2624 


3 


56 


9944 . .96 


.247 


.3 9 8 .548 


.699 


3 


57 


2797 


2 9 6 9 


3 1 42 


33i4 


348 7 


365 9 


2 


57 


9.140860 looi 


n5i 


i3o2 i453 


i6o3 


2 


58 


3832 


4oo4 


4176 


4348 


4620 


46 9 2 


I 


58 


175411904 


2066 


2206 2355 2606 


1 


69 


4864 


5o36 


6208 


538o 


555i 


6723 


O 


5 9 


2655 28o6'2 9 56 3io6 3256 34o5 


O 




60" 


50" 


40" 


30" 


20" 


10" 


E 




60" 50" 40" | 30" 20" i 10" . 




Co-sine of 83 


Degrees. 







Co-sine of 82 Degrees. a 


_ < 1" 2" 3" 4" 5" 6" 7" 8' 9" 


p p .< 1" 2" 3" 4" 5" 6" 7" S" 9'' 


irt { 18 37 55 74 92 111 129 148 166 


"{ 16 32 48 64 80 96 112 128 144 



LOGARITHMIC TANGENTS. 



.5 


Tangent of 6 Degrees. 




.a 


Tangent of 7 Degrees. 




m 


0" 


10" | 20" j 30" 


40" 


50" 




s 


0" 


10" 


20" 


30" 


40" 


50" 




o 


9 .021620 


I823J2O25 


2227 


2430 


263a 


5 9 


o 


9 .o8 9 i44 


9318 


9 4 9 2 


9666 


9 83 9 


..i3 


5 9 


i 


2 834 


3o36 3238 343 9 


364i 


3843 


58 


i 


9 .o 9 oi8 7 


o36i 


o534 


0708 


0881 


io54 


58 


2 


4o44 


424514447 


4648 


4849 


5o5o 


57 


2 


1228 


i4oi 


i5 7 4 


I 7 47 


I 9 2O 


2093 


57 


3 


5 2 5i 


5452 5653 


5853 


6o54 


6254 


56 


3 


2266 


243 9 


2612 


2 7 84 


2 9 57 


3129 


56 


4 


6465 


66556855 


7 o55 


7 255 


7455 


55 


4 


33o2 


3474 364 7 


38ic; 


3 99 i 


4i63 


55 


5 


7 655 


7 8558o55 


8254 


8454 


8653 


54 


5 


4336 


45o8 


468o 


485i 


5o23 


5i 9 5 


54 


6 


8852 


9 o52 9 25i 


9 45o 


9649 


9 848 


53 


6 


536 7 


5538 


5710 


588i 


6o53 


6224 


53 


7 


9.o3oo46 


0245 


o444 


o64a 0841 


io3 9 


52 


7 


63 9 5 


656 7 


6 7 38 


6909 


7080 


725i 


52 


8 


i23y 


i435 


i633 


i83i 


2029 


222 7 


5i 


8 


7422 


7 5 9 3 


7764 


7934 


8io5 


8276 


5i 


9 


2425 


2623 


2820 


3017 


32i5 


3412 


5o 


9 


8446 


8616 


8787 


8 9 5 7 


9 I2 7 


9298 


5o 


10 


3609 


38o6 


4oo3 


4200 


43 97 


45 9 4 


49 


10 


9 468 


9 638 


9 8o8 


9978 


.i48 


.3i 7 


49 


1 1 


4791 


4987 


5i84 


538o 


55 7 6 


5 77 3 


48 


ii 


9 . 100487 


o65 7 


0827 


0996 


1166 


i335 


48 


12 


5 9 6 9 


6i65 


636i 


655 7 


6753 


6 9 48 


4 7 


12 


i5o4 


i6 7 4 


i843 


2012 


2181 


235o 


47 


i3 


7i44 


7339 


7 535 


77 3o 


7926 


8121 


46 


i3 


25l 9 


2688 


2807 


3026 


3i 9 4 


3363 


46 


i4 


83i6 


85n 


8 7 o6 


8901 


9095 


9 2 9 


45 


i4 


3532 


3 7 oo 


386 9 


4o3 7 


42o5 


43 7 4 


45 


i5 


9 485 


9679 


9 8 7 4 


..68 


.262 


.456 


44 


i5 


4542 


47,10 


48 7 8 


5o46 


52i4 


5382 


44 


16 


9 . o4o65i 


o845 


1039 


1232 


1426 


1620 


43 


16 


555o 


5 7 i8 


5885 


6o53 


6221 


6388 


43 


17 


i8i3 


2007 


22OO 


23 9 4 


2 58 7 


2 7 8o 


42 


*7 


6556 


6723 


68 9 o 


7o58 


7225 


7 3 9 2 


4a 


18 


2 97 3 


3i66 


3359 


3552 


3 7 45 


3 9 3 7 


4i 


18 


7 55 9 


7726 


7893 


8060 


8227 


83 9 4 


4i 


19 


4i3o 


4322 


45i5 


4707 


48 99 


5o 9 2 


4o 


r 9 


856o 


8727 


88 9 4 


9060 


9 22 7 


9 3 9 3 


4o 


20 


5284 


5476 


5668 


585 9 


6o5i 


6243 


3 9 


20 


9 55 9 


9726 


9 8 9 2 


..58 


.224 


.3 9 o 


3 9 


21 


6434 


6626 


6817 


7009 


7200 


7 3 9 i 


38 


21 


9 .no556 


0722 


0888 


io54 


I2I 9 


i385 


38 


22 


7 582 


7773 


7964 


8:55 


8346 


8536 


37 


22 


i55i 


I 7 i6 


1882 


2047 


2213 


23 7 8 


37 


23 


8727 


8917 


9108 


9298 


948 9 


9 6 79 


36 


23 


2543 


2 7 o8 


28 7 3 


3o3 9 


32O4 


3368 


36 


24 


9869 


..5 9 


.249 


.439 


.629 


.818 


35 


24 


3533 


36 9 8 


3863 


4028 


4l 9 2 


435 7 


35 


25 


9 .o5ioo8 


1197 


i38 7 


1576 


1766 


i 9 55 


34 


25 


452i 


4686 


485o 


5oi5 


5l Z9 


5343 


34 


26 


ai44 


2333 


2522 


2711 


2900 


3o88 


33 


26 


55o 7 


56 7 i 


5835 


5 999 


6i63 


632 7 


33 


27 


3277 


3466 


3654 


3843 


4o3i 


42I 9 


32 


2 7 


64 9 i 


6655 


6818 


6982 


7i45 


7 3o 9 j32 


28 


4407 


45 9 6 


4784 


4972 


5i5 9 


534 7 


3i 


28 


7472 


7 636 


7799 


7962 


8126 


828 9 j3i 


29 


5535 


6723 


5910 


6098 


6285 


64 7 2 


3o 


2 9 


8452 


86i5 


8778 


8941 


9104 


9 266 


3o 


3o 


6659 


6847 


7o34 


7221 


7 4o8 


7 5 9 4 


2 9 


3o 


9429 


9 5 9 2 


97 54 


9917 


79 


.242 


2 9 


3i 


7781 


7968 


8i55 


834i 


85 2 8 


8 7 i4 


28 


3i 


9.120404 


o56 7 


7 2 9 


0891 


io53 


I2l5 


28 


32 


8900 


9086 


9273 


9 45 9 


9 645 


9 83i 


2 7 


32 


i3 77 


i53 9 


I 7 OI 


i863 


2O25 


2l8 7 2 7 


33 


9.060016 


O2O2 


o388 


0573 


o 7 5 9 


o 9 44 


26 


33 


2348 


25lO 


26 7 I 


2833 


2 99 4 


3i5626 


34 


n3o 


i3i5 


i5oo 


i685 


1870 2o55 


25 


34 


33i 7 


3478 


364o 


38oi 


3 9 62 


4123125 


35 


2240 


2425 


2610 


2 79 5 


2 979 


3i64 


24 


35 


4284 


4445 


46o6 


4766 


4 9 27 


5o88 


24 


36 


3348 


3533 


3 7 i 7 


3 9 oi 


4o85 


4269 


23 


36 


5249 


54o 9 


55 7 o 


5 7 3o 


58 9 i 


6o5i 


23 


3? 


4453 


463 7 


4821 


5oo5 


5i88|53 7 2 


22 


3? 


6211 


6371 


6532 


6692 


6852 


7 OI2 


22 


38 


5556 


5 7 3 9 


5922 


6106 


69896478 


21 


38 


7 I 7 2 


7 332 


7 4 9 2 


7 65i 


7811 


797i 


21 


3 9 


6655 


6838 


7021 


7204 


73877670 


20 


3 9 


8i3o 


82 9 O 


844 9 


8609 


8768 


8 9 28 


2O 


4o 


77 5 2 


79 35 


8117 


83oo 


8482 8664 


I 9 


4o 


9o8 7 


9 246 


9 4o5 


9 564 


9723 


9 882 


T 9 


4i 


8846 


9029 


9211 


9 3 9 3 


9 5 7 5 97 56 


18 


4i 


9. i3oo4i 


0200 


o35 9 


o5i8 


0676 


o835 


18 


42 


99 38 


. I2O 


.3oi 


.483 


.664 


.846 


*7 


42 


0994 


Il52 


i3n 


1469 


1628 


i 7 86 


*7 


43 


9.071027 


1208 


i38 9 


1570 


i 7 5i 


I 9 32 


16 


43 


1944 


2102 


2261 


2419 


25 77 


2 7 35 


16 


44 


2Il3 


2294 


2475 


2655 


2836 


3oi6 


i5 


44 


2893 


3o5o 


3208 


3366 


3524 


368i 


i5 


45 


3i 97 


33 77 


3558 


3738 


3 9 i8 


4o 9 8 


i4 


45 


383g 


3997 


4i54 


4312 


446 9 


4626 


i4 


46 


4278 


4458 


4638 


48i 7 


4997 


5i 77 


i3 


46 


4784 


4 9 4i 


5o 9 8 


5 2 55 


5412 


556 9 


i3 


4? 


5356 


5536 


5 7 i5 


58 9 5 


6o 7 4'6253 


12 


47 


5 7 26 


5883 


6o4o 


6i97 


6353 


65io 


12 


48 


6432 


6611 


6 79 o 


6 9 6 9 


7 i48 7 32 7 


II 


48 


666 7 


6823 


6 9 8o 


7i36 


7 2 9 2 


744 9 


II 


49 


7 5o5 


7 684 


7 862 


8o4i 


82i 9 83 9 8 


10 


49 


7 6o5 


7761 


79 i8 


8o 7 4 


8230 


8386 


10 


5o 


8576 


8 7 54 


8 9 32 


9 no 


9 288 


9 466 


9 


5o 


854a 


86 9 8 


8854 


9009 


9 i65 


9 32I 


9 


5i 


9644 


9822 


.... 


.177 


.355 


.532 


8 


5i 


9476 


9 632 


9788 


9943 


.. 9 8 


.254 


8 


52 


9.080710 


o88 7 


1064 


1241 


i4i 9 


i5 9 6 


7 


52 


9.140409 


o564 


0720 


0875 


io3o 


n85 


7 


53 


1773 


i 9 5o 


2126 


23o3 


2480 265 7 


6 


53 


i34o 


i495 


i65o 


i8o5 


i 9 5 9 


2Il4 


6 


54 


2833 


3oio 


3i86 


3362 


353 9 


3 7 r5 


5 


54 


2269 


2424 


25 7 8 


2733 


2887 


3o42 


5 


55 


38 9 i 


4067 


4243 


44i9 


45 9 5 


4 77 i 


4 


55 


3196 


335o 


35o4 


365 9 


38i3 


3967 


4 


56 


4947 


5l22 


52 9 8 


5473 


564 9 


5824 


3 


56 


4l2I 


4275 


4429 


4583 


4 7 3 7 


4890 


3 


57 
58 


6000 
7 o5o 


6i 7 5 

7 225 


635o 
7 4oo 


65 2 5 
7 5 7 4 


6 7 oo68 7 5 

77 4 9 | 79 24 


2 

I 


5 7 

58 


5o44 
5 9 66 


5i 9 8 
61 1 9 


535i 
6272 


55o5 
6425 


565 9 
65 79 


58i2 

6732 


2 
I 


5 9 


8098 


82 7 3 


8447 


8621 


8 79 5 


8 97 o 


O 


5 9 


6885 


7 o38 


7191 


7344 


7497 


7 65o 


O 




60" 


50" 


40" 


30" 


20" 


10" 


rj 




60" 


50" 40" 


30" j 20" 


10" 


A 




Co-tangent of 83 Degrees. 


.y 






Co-tangent of 82 Degrees. 


i 


P Prt5 l " 2 " 3// 4 " 5 " 6// 7 " 8 " 9 " 


p p .<!" 2" 3" 4" 5" 6" 7" 8" 9" 


irc * 19 37 56 75 94 112 131 150 168 


trt { 16 33 49 65 81 98 114 130 146 



LOGARITHMIC 



i 


Sine of 8 Degrees. 




A 


Sine of 9 Degrees. 




i 


0- | 10" 20" 


30" 


40" | 50* 




s 


0" | 10" 


20" 


30" 


40" 


50" 




o 


9. M3555 3 7 o5J3855 


4oo5 


4i54 


43o4 


59 





9.194332 


4465 


45 9 8 


4 7 3i 


4864 


4 99 7 


5 9 


I 


4453 46o3 4-762 


4902 


5o5i 


6200 


58 


I 


6129 


6262 


53 9 5 


55 27 


566o 


5?9 2 


58 


3 


5349 5498 5648 


6797 


5g46 6096 


67 


2 


6926 


6067 


6189 


6322 


6454 


6586 


5 7 


3 


6243,6392 654i 


6690 


68396987 


56 


3 


6719 


685i 


6983 


7 n5 


7247 


7 3 79 


56 


4 


7 i36 -7284 7 433 


7681 


77307878 


55 


4 




7643 


-7776 


797 


8o38 


8i 7 o 


55 


5 


8026)8174 


83238471 


8619)876764 


5 


83o2 


8434 


8565 


86 97 


8828 


8 9 6o 


54 


6 


89169063 


9211 


9 358 


9606 


9 654 


53 


6 


9091 


9223 


9 354 


9 486 


9 6i 7 


97 48 


53 


7 


980219949 


97 


.244 


.392 


.53 9 


62 


7 


9879 


. .11 


.142 


.2 7 3 


4o4 


.535 


62 


8 


9.1606860834 


0981 


1128 


1276 


l422 


61 


8 


9.200666 


0797 


0928 


1069 


n8 9 


1320 


5i 


9 


i56 9 


1716 


i863 2010 


2i5 7 J23o4 


5o 


9 


i45i 


1682 


1712 


i843|i 97 3 


2104 


5o 


10 
ii 


333o 


2 5 97 

3476 


2744 
3623 


2891 
3 7 6 9 


3o3 7 |3i84 
39164061 


49 
48 


10 

ii 


2234 

3017 


2365 
3x4? 


2496 
3277 


2626 
34o 7 


2-766 
353 7 


2886 

366 7 


49 

48 


12 


4208 


4354 


45oo4646 


4 7 92)4g38 


47 


12 


3797 


3927 


4o5 7 


4i8 7 


43i 7 


444 7 


47 


i3 


5o83 


522 9 


53 7 5 


552i 


5666 


6812 


46 


i3 


45 7 7 


4706 


4836 


4 9 66 


5o 9 5 


5225 


46 


i4 


5 9 5 7 


6io3 


6248 63 9 4 


653 9 


6684 


45 


i4 


5354 


5484 


56i3 


5 7 43 


58 7 2 


6002 


45 


i5 


683o 


6 97 5 


7120 7265 


7 4io 


7 555 


44 


i5 


6i3i 


6260 


638 9 


65i 9 


6648 


6 7 77 


44 


16 


7700 


7845 


7990 8 1 35 


8 2?9 


8424 


43 


16 


6 9 o6 


7 o35 


7 i64 


7 2 9 3 


7 422 


7 55i 


43 


17 


856 9 


8 7 i3 


8858 9.002 


9147 


9 2 9 i 


42 


17 


7679 


7808 


7937 


8066 


8i 9 4 


8323 


42 


18 


9 435 


9 58o 


9-7249868 


. . 12 


.166 


4i 


18 


8462 


858o 


8 7 o 9 


883 7 


8 9 66 


9 o 9 4 


4i 


I 9 


9 . i6o3oi 


o445 


06890-732 


o8 7 6 


1020 


4o 


19 


9 222 


9 35i 


9479 


9 6o 7 


9735 


9 864 


4o 


20 


n64 


i3o8 


i45i 


i5 9 5 


i 7 38 


1882 


3 9 


20 


999 2 


. I2O 


.248 


.3 7 6 


.5o4 


.632 


39 


21 


2026 


2l6 9 


23l2 2456 


2699 


2 7 42 


38 


21 


9 . 210760 


0888 


1016 


n43 


I2 7 I 


i3 99 


38 


22 


2886 


3028 


3l ? 2 


33i5 


3458 


36oo 


3? 


22 


1626 


i654 


1781 


: 9 o 9 


203 7 


2164 


37 


23 


3 7 43 


3886 


4o294i 7 2 


43i4 


445 7 


36 


23 


22 9 I 


2419 


2546 


2674 


2801 


2 9 28 


36 


24 


46oo 


4 7 42 


4885 


6027 


5i 7 o 


53i2 


35 


24 


3o55 


3182 


33io 


343 7 


3564 


36 9 i 


35 


25 


5454 


55 97 


5 7 3 9 


6881 


6023 


6i65 


34 


25 


38i8 


3 9 45 


4o 7 i 


4i 9 8 


4325 


4452 


34 


26 


63o 7 


644 9 


6691 


6 7 33 


68 7 5 


7017 


33 


26 


45 7 9 


4 7 o5 


4832 


4 9 5 9 


5o85 


6212 


33 


27 


7i5 9 


7 3oo 


7 442 


7584 


77 a5 


7867 


32 


27 


5338 


5465 


55 9 i 


6718 


5844 


5 97 o 


32 


28 


8008 


8i5o 


8291 


8432 


85 7 4 


8716 


3i 


28 


6o 9 7 


6223 


6349 


6475 


6601 


6 ?2 8 


3i 


29 


8856 


8997 


9i3892 79 


9420 


9 56i 


3o 


2 9 


6854 


6980 


-7106 


7232 


7 358 


7 483 


3o 


3o 


0.702 


9 843 


9984 


.126 


.266 


.4o6 


2 9 


3o 


76o 9 


7735 


-7861 


7987 


8112 


8238 


2 9 


3i 


9 . i 70647 


068-7 


0828 0968 


1 109 


I24 9 


28 


3i 


8363 


8489 


86i5 


8 7 4o 


8866 


8991 


28 


32 


i38 9 


i53o 


1670 


1810 


1960 


20 9 


27 


32 


9 n6 


9242 


9 36 7 


9492 


9 6i8 


9743 


2 7 


33 


1230 


23 7 


2610 2660 


2 79 


2 9 3o 


26 


33 


9 868 


999 3 


.118 


.243 


.368 


.493 


26 


34 


3o 7 c 3270 


334 9 


348 9 


3629 


3768 


26 


34 


9 . 220618 


o 7 43 


0868 


o 99 3 


1118 


1242 


26 


35 


3 9 o8 


4o4 7 


4i8 7 4326 4465 


46o5 


24 


35 


1367 


1492 


1616 


1741 


1866 


1990 


24 


36 


4744 


4883 


5022 


6161 


53oo 


543 9 


23 


36 


2116 


2239 


2364 


2488 


2612 


2 7 3 7 


23 


3? 


55 7 9 


57i7 


5856 6996 


6i34 


62 7 3 


22 


37 


2861 


2986 


3109 


3234 


3358 


3482 


22 


38 


64i . 


655o 


6688 6827 6966 


7104 


21 


38 


36ob 


3 7 3o 


3854 


3978 


4l02 


4226 


21 


' 39 


724* 


7 S8i 


761976677796 


7934 


20 


39 


434 9 


44 7 3 


45 97 


4721 


4845 


4968 


2O 


4o 8072 


8210 


8348 


8486 8624 


8762 


19 


4o 


5o 9 2 


6216 


533 9 


5462 


5586 


5-709 


'9 


4i 


8 9 oo 


9 o38 


91769313 


945i 


9 58 9 


18 


4i 


5833 


5 9 56 


6080 


62o3 


6326 


6449 


18 


A2 


9 726 


9 864 


. ..2 


.i3 9 


.2 7 6 


.4i4 


l l 


42 


65 7 3 


6696 


68i 9 


6 9 42 


7 o65 


7 i88 


17 


A3 


o.i8o55i 


o68 9 


0826 0963 


1 100 


1237 


16 


43 


73n 


7 434 


7 55 7 


7680 


7 8o3 


-7926 


16 


4*1' 1374 


i5ii 


1 648 


1786 


1922 


2o5 9 


i5 


44 


8o48 


81-71 


82 9 4 


84i6 


853 9 


8661 


16 


45 2196 


2333 


2469 2606 


2 7 43 


2870 


i4 


45 


8 7 84 


8906 


9 02 9 


9161 


9 2 7 4 


9 3 9 6 


i4 


46 


3oi6 


3i52 


328913426 


3562 


36 9 8 


i3 


46 


9 5i8 


9641 


9763 


9 885 


-7 


.i3o 


i3 


47 


3834 


3 97 i 


4107)4243 


43 79 


45i5 


12 


47 


9 . 230262 


o3 7 4 


o4 9 6 


0618 


o 7 4o 


0862 


12 


48 


465i 


4 7 8 7 


4923 


5o5 9 


6196 


533i 


II 


48 


o 9 84 


1 1 06 


1228 


i34 9 


i4 7 i 


i5 9 3 


II 


49 


5466 


56o2 


5 7 38 


58 7 4 


6009 


6i45 


10 


49 


1716 


i836 


i 9 58 


20 79 


2201 


2323 


10 


5o 6280 


64i6 


655i 


6686 


6822 


6967 


9 


5o 


2444 


2565 


268-7 


2808 


2 9 3o 


3o5i 


9 


Si 


O02 


7228 


7 363 


74 9 8 


7 633 


7768 


8 


61 


3172 


3293 


34i5 


3536 


365 7 


3778 


8 


52 '.qo3 

53 fr-tfi 


8o38 
8847 


8173 
8981 


83o8 8442 
9 n6 9260 


8677 
9 385 


7 
6 


52 

53 


3899 
4626 


4O20 

4 7 46 


4i4i 
486 7 


4262 
4 9 8 7 


4383 
6108 


45o4 


6 


54 96*9 


9 654 


9788 


9923 


..5 7 


.191 


5 


54 


5349 


54 7 o 


55 9 i 


6711 


5832 


6962 


5 


55 9.1903-^5 
56 n3o 


o46o 
1264 


0694 


0728 
i53 2 


0862 
1666 


0996 
1799 


4 
3 


55 
56 


6073 
6796 


6i 9 3 
6916 


63i3 
7 o35 


6434 
7 i55 


6554 

7 2 7 5 


66 7 4 
7 3 9 5 


4 
3 


67 


I 9 33 


2066 


22OO 


2334 2467 


A 

2601 


2 


57 


7 5i5 


7 635 


7755 


7875 


799 5 


8n5 


2 


58 


2 7 34 


2868 


3001 


3i34i3268 


34oi 


I 


58 


8235 


8355 


8474 


85 9 4 


8 7 i4 


8834 


I 


5 9 3534 


366 7 


38oo 


39334066 


4199 


O 


5 9 


8963 


9o 7 39i92 


9 3l2 


9 43i 


9 55i 





60" 


50" 


40" 


30" 


20" 


10" 


d 




60" 


50" 40" 


30" | 20" 


10" 


^ 


Co-sine of 81 


Degrees. 


9 




Co-sine of 80 Degrees. 


8 


( \" 2" 3" 4" 5" 6" 7" 8" 9" 


P P f fl" 2// 3// 4// 5 " 6 " 7 " 8 " 9 " 


P. Part J H 2g 42 5fi 7Q 85 9g H3 12? 


irt \ 13 25 38 50 63 75 88 101 113 



LOGARITHMIC TANGENTS. 



33 



d 


Tangont of 8 Degrees. 




.s 


Tangent of 9 Degrees. 




ii 


0" 


10" 


20" 


30" 


40" 


50" 




2 


0" 


10" 


20" 


30" 


40" 


50" 







9.147803 


79 55 


8108 


8261 


84i3 


8566 


5 9 


o 


9.199713 


9 84 9 


99 85 


. 121 


.25 7 


.3 9 3 


5 9 


I 


8718 


8871 


9023 


9 ! 7 5 


9 3 2 8 


9 48o 


58 


i 


9.200529 


o665 


0801 


o 9 3 7 


io 7 3 


I20 9 


58 


2 


9632 


97 84 


99 36 


.88 


.240 


.3 9 2 


5 7 


2 


1 345 


i48i 


1616 


I 7 52 


1888 


2022 


$7 


3 


9.i5o544 


0696 


o848 


0999 


u5i 


i3o3 


56 


3 


2i5g 


2294 


243o 


2565 


2701 


2836 


56 


4 


i454 


1606 


I7 5 7 


1909 


2060 


2211 


55 


4 


2971 


3107 


3242 


33 77 


35i2 


364 7 


55 


5 


2363 


25i4 


2665 


2816 


2 9 6 7 


3u8 


54 


5 


3782 


3 9 i8 


4o53 


4x88 


4322 


445 7 


54 


6 


3269 


3420 


35 7 i 


3722 


38 7 3 


4023 


53 


6 


4592 


4727 


4862 


4996 


5i3i 


5 2 66 


53 


7 


4i74 


4325 


4475 


4626 


4 77 6 


4 9 26 


52 


7 


54oo 


5535 


566 9 


58o4 


5 9 38 


6o 7 3 


52 


8 


5 77 


5227 


53 77 


5528 


56 7 8 


5828 


5i 


8 


620-7 


6342 


6476 


6610 


6 7 44 


6878 


5i 


9 


5 97 8 


6128 


6278 


6428 


65 7 8 


6728 


5o 


9 


7 oi3 


7147 


7281 


74i5 


7 54 9 


7 683 


5o 


10 


6877 


7027 


7177 


7326 


7 4 7 6 


7625 


4 9 


IO 


7817 


79 5 


8o84 


8218 


8352 


8485 


49 


ii 


777 5 


7924 


8o 7 4 


8223 


8372 


852i 


48 


ii 


8619 


8 7 53 


8886 


9 O2O 


9 i53 


9,287 


48 


12 


8671 


8820 


8969 


9118 


9 267 


9 4i6 


47 


12 


9420 


9 554 


9687 


9 820 


99 54 


..87 


47 


i3 


9 565 


97 i3 


9862 


. .11 


.160 


.3o8 


46 


i3 


9.210220 


o353 


o480 


o6i 9 


0752 


o885 


46 


:4 


9.160457 


o6o5 


o 7 54 


0902 


io5i 


1199 


45 


i4 


ioi8jn5i 


1284 


1417 


i55o 


i683 


45 


i5 


i347 


1496 


1 644 


1792 


i 9 4o 


2088 


44 


i5 


i8i5 


i 9 48 


2081 


22l3 


2346 


2478 


44 


16 


2236 


2384 


2532 


2680 


2828 


2 97 5 


43 


16 


2611 


2743 


2876 


3oo8 


3i4i 


3 27 3 


43 


i? 


3i 2 3 


3271 


34i8 


3566 


3 7 i3 


386i 


42 


'7 


34o5 


3537 


3670 


3802 


3 9 34 


4o66 


42 


18 


4oo8 


4i56 


43o3 


445o 


45 9 8 


4 7 45 


4i 


18 


4198 


433o 


4462 


45 9 4 


4726 


4858 


4i 


*9 


4892 


5o39 


5i86 


5333 


548o 


562 7 


4o 


*9 


4989 


5l2I 


5253 


5385 


55i6 


5648 


4o 


20 


5 77 4 


5g2o 


6o6 7 


6214 


636i 


65o 7 


39 


20 


5780 


Sgii 


6o43 


6174 


63o5 


643 7 


3 9 


21 


6654 


6800 


6 9 4 7 


7 o 9 3 


7240 


7386 


38 


21 


6568 


6700 


683 1 


6962 


79 3 


7225 


38 


22 


7 532 


7678 


7 825 


7971 


8117 


8263 


37 


23 


7356 


7487 


7618 


7749 


7880 


8011 


37 


23 


8409 


8555 


8701 


8847 


8 99 2 


9 i38 


36 


23 


8142 


8273 


84o3 


8534 


8665 


8796 


36 


24 


9284 


9 43o 


9 5 7 5 


9721 


9 866 


. .12 


35 


24 


8926 


9 o5 7 


9188 


9 3i8 


9 44 9 


9 5 79 


35 


25 


9.170157 


o3o3 


o448 


o5 9 3 


o 7 3 9 


0884 


34 


25 


9710 


9840 


9971 


.101 


.231 


.36i 


34 


26 


1029 


1174 


1319 


i464 


i6o 9 


1754 


33 


26 


9.220492 


0622 


0752 


0882 


1012 


Il42 


33 


27 


1899 


2044 


2188 


2333 


2478 


2623 


32 


2 7 


1272 


1402 


i532 


1662 


I 79 2 


1922 


32 


28 


2767 


2912 


3o56 


32OI 


3345 


348 9 


3i 


28 


2OJ>2 


2l82 


23ll 


244i 


2571 


2700 


3i 


29 


3634 


3 77 8 


3922 


4o6 7 


4211 


4355 


3o 


2 9 


2 83o 


2060 


3o8 9 


32i8 


3348 


3477 


3o 


3o 


4499 


4643 


4 7 8 7 


493i 


5075 


52i8 


29 


3o 


3607 


3 7 36 


3865 


3 99 4 


4124 


4253 


2 9. 


3i 


5362 


55o6 


565o 


5 79 3 


5 9 3 7 


6080 


28 


3i 


4382 


45n 


464o 


4 7 6 9 


48 9 8 


5027 


28 


32 


6224 


6367 


65n 


6654 


6797 


6941 


27 


32 


5i56 


5 2 85 


54i4 


5543 


5671 


58oo 


27 


33 


7084 


7227 


7 3 7 o 


7 5i3 


7656 


7800 


26 


33 


5 9 2 9 


6o58 


6186 


63i5 


6443 


6572 


26 


34 


7 9 4a 


8o85 


8228 


83 7 i 


85i4 


865 7 


25 


34 


6700 


6829 


6 9 5 7 


7086 


7214 


7342 


25 


35 


8799 


8942 


9 o85 


922-7 


9 3 7 o 


9512 


24 


35 


747 1 


7 5 99 


77 2 7 


7855 


7983 


8111 


24 


36 


9 655 


9797 


99 3 9 


..82 


.224 


.366 


23 


36 


8 2 3 9 


8368 


84 9 6 


8623 


8 7 5i 


8879 


23 


37 


9.i8o5o8 


o65o 


o 79 2 


o 9 34 


1076 


1218 


22 


3? 


9007 


9i35 


9263 


9 3 9 o 


9 5i8 


9 646 


22 


38 


i36o 


1502 


1 644 


i 7 86 


I 9 2 7 


2069 


21 


38 


9773 


9901 


..29 


.166 


.284 


.4n 


21 


3 9 


221 I 


2352 


2494 


2 635 


2777 


2918 


20 


3 9 


9.23o53 9 


0666 


o 79 3 


O 9 2I 


io4& 


1175 


2O 


4o 


3o59 


32OI 


3342 


3483 


3625 


3766 


19 


4o 


1302 


i43o 


i55 7 


1 684 


1811 


i 9 38 


*9 


4i 


3907 


4o48 


4i8 9 


433o 


447i 


4612 


18 


4i 


2o65 


2192 


23l 9 


2446 


2 5 7 3 


2699 


18 


4a 


4?52 


48 9 3 


5o34 


5175 


53i5 


5456 


17 


42 


2826 


2 9 53 


3o8o 


3206 


3333 


346o 


17 


43 


55 97 


5 7 3 7 


58 7 8 


6018 


6i58 


6299 


16 


43 


3586 


3713 


383 9 


3 9 66 


40 9 2 


4219 


16 


44 


643 9 


65 79 


6 7 20 


6860 


7000 


7140 


i5 


44 


4345 


447i 


45 9 8 


4724 


485o 


4 97 6 


i5 


45 


7280 


7420 


7 56o 


7700 


7840 


7980 


i4 


45 


5io3 


5229 


5355 


548i 


5607 


5 7 33 


i4 


46 


8120 


8259 


83 99 


853 9 


8678 


8818 


i3 


46 


585 9 


5 9 85 


61 ii 


6237 


6362 


6488 


i3 


47 


8 9 58 


9097 


9 236 


9 3 7 6 


9 5i5 


9 655 


12 


47 


66i4 


6 7 4o 


6865 


6 99 i 


7117 


7242 


12 


48 


9794 


99 33 


..72 


.212 


.35i 


.490 


II 


48 


7 368 


7 4 9 3 


7619 


7744 


7870 


799 5 


II 


49 


9. 190629 


0768 


0907 


io46 


1184 


i323 


IO 


49 


8120 


8246 


83 7 i 


84 9 6 


8621 


8 7 4 7 


IO 


5o 


1462 


1 60 1 


i 7 3 9 


1878 


2017 


2i55 


9 


5o 


8872 


8997 


9 I22 


9 247 


9 3 7 2 


9497 


9 


5i 


2294 


2432 


25 7 I 


2709 


2848 


2986 


8 


5i 


9622 


974? 


9 8 7 2 


999 6 


. 121 


.246 


8 


52 


3l24 


3262 


34oi 


353 9 


36 7 7 


38i5 


7 


52 


9.24o3 7 i 


0495 


062O 


o 7 45 


o86 9 


o 99 4 


7 


53 


3 9 53 


4091 


4229 


436 7 


45o5 


4642 


6 


53 


1118 


1243 


i36 7 


l4 9 2 


1616 


1741 


6 


54 


4780 


4918 


5o56 


5ig3 


533i 


5468 


5 


54 


i8f5 


1989 


2114 


2238 


2362 


2486 


5 


55 


56o6 


5 7 43 


588i 


6018 


6i56 


6293 


4 


55 


26^0 


2 7 34 


2858 


2 9 82 


3io6 


323o 


4 


56 


643o 


656 7 


6705 


6842 


6979 


7116 


3 


56 


3354 


3478 


36o2 


3 7 26 


385o 


3 97 4 


3 


57 


7253 


7 3 9 


7 5 . 2 7 


7 664 


7801 


7938 


2 


57 


4097 


4221 


4345 


4468 


45 9 2 


4?i5 


a 


58 


8o 7 4 


8211 


8348 


8484 


8621 


8 7 58 


I 


58 


483 9 


4962 


5o86 


52O 9 


5333 


5456 


i 


5 9 


88 9 4 


go3i 


9167 


9 3o4 


9 44o 


9 5 7 6 


O 


5 9 


55 79 


5703 


5826 


5 9 4 9 


6072 


6i 9 6 


o 




60" 


50" 


40" 


30" 


20" 


10" 


a 




60" 


50" 


40" 


30" 


20" 


10" 


d 




Co-tangent of 81 Degrees. 







Co-tangent of 80 Degrees. 


1 


P P f <l" 2" 3" 4" 5" 6" 7" 8" 9" 


.5 1" 2" 3" 4" 5" 6" 7" 8" 9" 


1 14 29 43 58 72 86 101 115 130 


in \ 13 26 39 52 65 7$ 91 103 116 



LOGARITHMIC SINES. 



.5 


Sine of 10 Degrees. 




O 


Sine of 1 1 Degrees. 




m 


0" | 10" | 20 7 


30" 


40" 5(X 




2 


0" 10" | 20" 


30" 


40" 


50" 







9 .23 9 67o! 979 o| 99 o 9 


..28 


.i48|.26 7 


5 9 





9.280599 O?O 7 


o8i5 


O 9 24 


1032 


u4o 


5 9 


i 


9.24o386 


o5o5io624 


o 7 44 


o863 


0982 


58 


I 


1248 i356 


i465 


i5 7 3 


1681 


i 7 8 9 


58 


2 


I IOI 


1220 i33 9 


i458 


i5 7 6 


i6 9 5 


5 7 


2 


189-7 2oo5 


2Il3 


222O 


2328 


2436 


5 7 


3 


1814 I933'2o52 


2170 


228 9 


2408 


56 


3 


2544 2652 


2760 


2 86 7 


2 97 5 


3o83 


56 


4 


252626452763 


2882 


3 oo i 


3lIQ 


55 


4 


31903298 


34o6 


35i3 


362i 


3 7 28 


55 


5 


323 7 


3356 


34 7 4 


35 9 2 


3 7 u 


382q 


54 


5 


3836 


3 9 43 


4o5i 


4i58 


4266 


43 7 3 


54 


6 


3 9 4 7 


4o65 


4i84 


43o2 


4420 


4538 


53 


6 


448o 


4588 


46 9 5 


4802 


4 9 o 9 


5oi 7 


53 


7 


4656 


4 77 4 


4892 


5oio 


5i 2 8 


5245 


52 


7 


5i24 


523i 


5338 


5445 


555 2 


565 9 


52 


8 


5363 


548i 


55 99 


6717 


5834 


5952 


5 1 


8 


5 7 66 


58 7 3 


5 9 8o 


6087 


6i 9 4 


63oi 


5i 


9 


6069 


6187 


63o5 


6422 


654o 


665 7 


5o 


9 


64o8 


65i4 


6621 


6-728 


6835 


6 9 4i 


5o 


10 


6 77 5 


68 9 2 


7 oo 9 


7127 


7244 


7 36i 


49 


10 


7 o48 


7 i55 


-7261 


7 368 


7 4 7 4 


7 58i 


4 9 


ii 


7 4 7 8 


7 5 9 6 


77 i3 


7830 


7 94 7 


8o64 48 


1 1 


7688 


77 94 


79 oo 


8007 


8n3 


8220 


48 


12 


8181 


82 9 8 


84i5 


8532 


864 9 


8 7 66 


4 7 


12 


83 2 6 


8432 


853 9 


8645 


8 7 5i 


885 7 


4 7 


i3 


8883 


8 999 


9116 


9233 


9 35o 


9 466 


46 


i3 


8964 


9 o 7 o 


9 i 7 6 


9 282 


9 388 


9 4 9 4 


46 


i4 


9 583 


97 oo 


98169933 


..4 9 


.166 


45 


i4 


9600 


97 o6 


9812 


99 i8 


..24 


.i3o 


45 


i5 


9.250282 


o3 99 


oSiSo63i 


o 7 48 


o864 


44 


i5 


9.290236 


0342 


o44 7 


o553 


o65 9 


o 7 65 


44 


16 


0980 


io 9 7 


I2l3 


1329 


i445 


i56i 


43 


16 


08-70 


o 9 76 


1082 


1187 


I2 9 3 


i3 9 8 


43 


17 


1677 


i 79 3 


1909 


2026 


2l4l 


225 7 


42 


'7 


i5o4 


1610 


i 7 i5 


1820 


I 9 26 


2031 


42 


18 


2 3 7 3 


248 9 


26o5 


2720 


2836 


2952 


4i 


18 


2l3 7 


2242 


234 7 


2453 


2 558 


2663 


4i 


*9 


3067 


3:83 


3299 


34i4 


353o 


3645 


4o 


J 9 


2 7 68 


2874 


29-79 


3o84 


3i8 9 


32 9 4 


4o 


20 


3 7 6i 


3876 


3992 4io 7 


4223 


4338 


3 9 


20 


3399 


35o4 


3609 


3 7 i4 


38i 9 


3 9 24 


3 9 


21! 4453 


4568 


4684 


4799 


4 9 i4 


5029 


38 


21 


4029 


4i34 


423 9 


4344 


4448 


4553 


38 


22 5i44 


5 2 5 9 


53 7 4 


5490 


56o4 5 7 i 9 


3 7 


22 


4658 


4 7 63 


486 7 


4 97 2 


5o 77 


5i8i 


3 7 


28 5834 


5 9 4 9 


6064 


6179 


62 9 4 64o 9 


36 


23 


5286 


53 9 i 


5495 


56oo 


5 7 o4 


58o 9 


36 


24 


6523 


6638 


6 7 53 


6867 


6 9 82i 7 o 9 6 


35 


24 


5913 


60 1 7 


6122 


6226 


633o 


6435 


35 


25 7211 


7 3 2 6 


7 44o 7 554 


7 66 9 


77 83 


34 


25 


6539 


6643 


6 7 4 7 


6852 


6 9 56 


-7060 


34 


26 7898 


8012 


81268241 


8355 


8469 


33 


26 


7164 


7268 


7 3 7 2 


7 4 7 6 


7 58o 


7 684 


33 


27 8583 


8697 


8811 


8926 


9 o4o 


9i54 


32 


27 


.7788 


7 8 9 2 


799 6 


8100 


8204 


83o8 


32 


28! 9268 


9 382 


9495 9609 


9723 


9 83 7 


3i 


28 


8412 


85i5 


86i 9 


8 ?2 3 


882 7 


8 9 3o 


Si 


29 99 5i 


..65 


.178 


.292 


.4o6 


.5i 9 


3o 


29 


9 o34 


9 i38 


9 24i 


9 345 


y44 s 


9 55 2 


3o 


So'g. 26o633 


0747 


0860 0974 


io8 7 


I2OI 


2 9 


3o 


9 655 


97 5 9 


9 862 


9966 


..69 


.I 7 2 


2 9 


3i 


i3i4 


1428 


i54i 


i654 


i 7 68 


1881 


28 


3i 


9.300276 


o3 79 


0482 


o586 


o68 9 


79 2 


28 


32 


I 99 4 


2107 


222O 


2334 


244 7 


256o 


2 7 


32 


o8 9 5 


0999 


1 102 


I2O5 


i3o* 


i4i i 


2 7 


33 


26 7 3 


2786 


2899 


3012 


3i 2 5 


3238 


26 


33 


i5i4 


1617 


I 7 2O 


1823 


I 9 26 


2O2 9 


26 


34 


335i 


3464 


35 7 6 


368 9 


3802- 


3 9 i5 


25 


34 


2l32 


2235 


233 7 


2440 


2543 


2646 


25 


35 


4027 


4i4o 


42534365 


44 7 8 


4590 


24 


35 


2 7 48 


285i 


2 9 54 


3o5 7 


3i5 9 


3262 


24 


36 


47o3 


48i5 


4928 5o4o 


5i53 


5265 


23 


36 


3364 


346 7 


356 9 


36 7 2 


3 77 4 


38 7 7 


23 


3 7 


53 77 


5490 


56o2 


5 7 i4582 7 


5 9 3 9 


22 


37 


3979 


4082 


4i84 


428-7 


438 9 


44 9 i 


22 


38 


6o5i 


6i63 


62 7 5 6387 


64 99 


66n 


21 


38 


45 9 3 


46 9 6 


4 79 8 


4 9 oo;5oo2 


5io4 


21 


3 9 


6723 


6835 


6947-7059 


7 i 7 i 


7283 


2O 


3 9 


52O 7 


53o 9 


54n 


55i3;56i5 


5 7 i 7 


2O 


4o 


7 3 9 5 


7 5o6 


7618 


77 3o 


7 84i 


79 53 


*9 


4o 


58i 9 


5921 


6023 


6i25 6227 


6328 


'9 


4i 


8o65 


8176 


8288 83 99 


85n 


8622 


18 


4i 


643o 


6532 


6634 


6 7 36683 7 


6 9 3 9 


18 


42 


8 7 34 


8845 


89579068 


91-79 


9291 


*7 


42 


7 o4i 


7142 


7 244 


7 346' 7 447 


7 54 9 


*7 


43 


9402 


9 5i3 


96249736 


9 84 7 


99 58 


16 


43 


7 65o 


77 5 2 


7 853 


79 55 


8o56 


8r58 


16 


44 


9.2 7 oo69 


0180 


0291 


0402 


o5i3 


0624 


i5 


44 


825 9 


836o 


8462 


8563 


8664 


8 7 66 


i5 


45 
46 


o 7 35 
i4oo 


o846 
i5io 


95 7 
1621 


io6 7 

I 7 32 


1178 
1842 


1289 
i 9 53 


i4 
i3 


45 
46 


8867 
9474 


8968 
9 5 7 5 


9 o6 9 
9 6 7 6 


91709272 
9777 9878 


9 3 7 3 
9979 


i4 
i3 


4? 


2064 


2174 


2285 


23g5 25o5 


2616* 


12 


4? 


9 . 3 i 0080 


0181 


0282 


o382 


o483 


o584 


12 


48 


2726 


283 7 


2 9 4 7 


3o5 7 3i68 


32 7 8 


I I 


48 


o685 


0786 


0886 


0987 


1088 


n8 9 


II 


49 
5o 


3388 
4049 


3498 
4i5 9 


36o8 3 7 i8 3829 
4269 437 9 '448 9 


3939 

45 9 8 


IO 

9 


49 

5o 


I28 9 

i8 9 3 


i3 9 o 
i 99 3 


i4 9 o 

20 9 4 


i5 9 i 
2194 


l6 9 2 
22 9 4 


I 79 2 

2 3 9 5 


10 


5i 


4708 


4818 


49285o38|5i48 


5 2 5 7 


8 


5i 


2 4 9 5 


2 5 9 5 


26 9 6 


2796 


28 9 6 


2 997 


8 


52 


536 7 


54 77 


5586 


56 9 6 


58o5 


5 9 i5 


7 


5'2 


3o 97 


3i 97 


32 97 


33 97 34 9 7 


35 9 7 


7 


53 


6o25 


6i34 


6s43 


6353 


6462 


65 7 2 


6 


53 


36 9 8 


3 79 8 


38 9 8 


3 99 8j4o 9 8 


4i 9 8 


6 


54 


6681 


6 79 o 


6900 


7009 


7118 


7 22 7 


5 


54 


42 97 


43 97 


44 97 


4597^697 


4 797 


5 


55 


7337 


7446 


7 555 


7 664 


7773 


7 882 


4 


55 


48 97 


4 99 6 


5o 9 6 


5i 9 6 5295 


53 9 5 


4 


56 


7991 


8100 


8209 


83i8 


8427 


8536 


3 


56 


54 9 5 


55 9 4 


56 9 4 


5 79 3,58 9 3 


5 99 3 


3 


*7 

58 


86458753 

929 7 9406 


8862 
95i4 


8 97 i 
9 623 


9080 
97 3i 


9 i88 
9 84o 


2 
I 


5 7 
58 


6o 9 2 
668 9 


6i 9 2 

6 7 88 


62^1 

688 7 


63 9 o64 9 o658 9 
608670867185 


2 
I 


5 9 


9948 


. .5 7 


.i65 


2 7 4 


.382 


4 9 i 


o 


5 9 


7284 


7 383 


7 48 2 


7582 7681 7780 


O 




60" 


50" 


40" 


30" 


20" 


10" 


B 




60" 50" | 40" 


30" 20" I 10" 


. 




Co-sine of 79 


Degrees. 


. 

~. 




Co-sine of 78 Degrees 


1 


A I" .2" 3" 4" 


5" 6" 7" 8" 9" 


P P t f 1" 2" 3" 4" 5" 6" 7" 8" 9" 


r ' Part J 11 23 34 45 


57 68 80 91 102 


m \ 10 21 31 41 32 62 72 83 93 



LOGARITHMIC TANGENTS. 



fl . 


Tangent of 10 Degrees. 




a 


Tangent of 1 1 Degrees. 




9 


0" 


10" 


20" 


30" 


40" 


50" 







0" 


10" 


20" 


30" 


40" 


50" 




o 


9 .2463i 9 


5442 


6565 


6688 


6811 


6 9 34 


5 9 





9.288652 


8 7 65 


38? 7 


8 9 8 9 


9IO2 


9 2l4 


9 


i 


7 5 7 


7 i8o 


7 3o3 


7426 


7 548 


7 6 7 i 


58 


I 


9326 


9 438 




9 663 


977 5 


9887 


8 


2 


7794 


79 i 7 


8o3 9 


8162 


8 2 85 


84o 7 


5 7 


2 


9999 


in 


223 


335 


44 7 


55 9 


7 


3 


853o 


8652 


8 77 5 


8897 


9020 


9 l42 


56 


3 


9.290671 


o 7 83 


o8 9 5 


1007 


n 9 


23l 


6 


4 


9 264 


9 38 7 


9 5o 9 


9 63i 


97 53 


;8 7 6 


55 


4 


1 342 


454 


566 


678 


7 8 9 


9 oi 


5 


5 


999 8 


120 


.242 


364 


.486 


608 


54 


5 


20l3 


2124 


2236 


234 7 




570 


4 


6 


9.250730 


o85 2 


o 97 4 


1096 


1218 


i33 9 


53 


6 


2682 


2793 


2 9 o5 


3oi6 


; I2 7 


23 9 


3 


7 


i46i 


583 


I 7 o5 


1826 


i 9 48 


2O 7 


52 


7 


335o 


346i 


5 7 2 


3684 




906 


2 


8 


2I 9 I 


23i3 


2434 


2 556 


2677 


2 799 


5i 


8 


4017 


4128 


23 9 


435i 


462 


45 7 3 


I 


9 


2 9 20 


>o4i 


3i63 


3284 


34o5 


352 7 


5o. 


9 


4684 


79^ 


. 9 o5 


5oi6 


5l2 7 


238 


O 


10 


3648 


3 7 6 9 


38 9 o 


ion 


4i32 


4253 


49 


10 


5349 


546o 


55 7 i 


568i 


5 79 2 


9 c3 


9 


n 


43 7 4 


4495 


46i6 


4 7 37 


4858 


4979 


48 


n 


6oi3 


6124 


5 2 35 


6345 


6456 


6566 


8 


12 


5 1 oo 


5221 


534i 


5462 


5583 


5 7 o3 


47 


12 


6677 


6787 


6898 


7008 


7 ii 9 


722 9 


7 


i3 


5824 


5 9 45 


6o65 


6186 


63o6 


642 7 


46 


i3 




745o 


7 56o 


7670 


778i 


7891 


6 


i4 


654? 


6668 


6 7 88 


6908 


7 02 9 


7149 


45 


i4 


8001 


8111 


8221 


8332 


8442 


8552 


5 


i5 


7 26 9 


7 38 9 


7 5io 


7 63o 


77 5o 


7870 


44 


i5 


8662 


8772 


8882 


899 2 


9102 


9 2I2 


4 


16 


799 


8110 


823o 


835o 


84 7 o 


85 9 o 


43 


16 


9322 


943 1 


9 54i 


9 65i 


97 6i 


9 8 7 I 


43 


i 7 


8710 


883o 


8950 


9069 


9 i8 9 


9 3o 9 


42 


17 


9980 


.90 


200 


.3o 9 


4i 9 


52 9 


2 


18 


9429 


9 548 


9668 


9787 


997 


..27 


ii 


18 


9.3oo638 


0748 


o85 7 


o 9 6 7 


io 7 6 


186 


I 


I 9 


9.260146 


0266 


o385 


o5o4 


0624 


o 7 43 


4o 


1 9 


1295 


i4o5 


i5i4 


1624 


i 7 33 


842 


O 


20 


o863 


9 82 


IIOI 


I22O 


i34o 


i45 9 


3 9 


20 


1951 


2061 


2I 7 


227 9 


2388 


24 9 7 


9 


21 


i5 7 8 


6 97 


1816 


1935 


2o54 


2I ? 3 


38 


21 


2607 


2716 


2825 


2 9 34 


3o43 


3i5 2 


8 


22 


2292 


2411 


2 53o 


2649 


2 7 68 


2 88 7 


37 


22 


3261 


3370 


34 7 9 


3588 


36 97 


38o5 


7 


23 


3oo5 


124 


3243 


336! 


348o 


35 99 


36 


23 


3 9 i4 




4i32 


424i 


434 9 


4458 


36 


24 


3 7 i 7 


3836 


3 9 54 


4o 7 3 


4191 


43io 


35 


24 


456 7 


46 7 5 


4 7 84 


48 9 3 


5ooi 


5no 


35 


25 


4428 


454 7 


4665 


4783 


4902 


5O2O 


34 


25 


52i8 


532 7 


5435 


5544 


5652 


5 7 6i 


34 


26 


5i38 


5 2 56 


53 7 5 


5493 


56ii 


5 7 2 9 


33 


26 


586 9 


5 977 


6086 


6i 9 4 


63o2 


64io 


33 


27 


5847 


5 9 65 


6o83 


6201 


6319 


643 7 


32 


2 7 


65i 9 


6627 


6 7 35 


6843 


6 9 5i 


7o5 9 


32 


28 


6555 


66 7 3 


6 79 o 


6908 


7026 


7 i44 


3i 


28 


7168 


7276 


7 384 


74 9 2 


7 6oo 


7708 


i 


2 9 


7261 


7 3 79 


74 9 7 


7614 


77 32 


7 84 9 


3o 


2 9 


7816 


7923 


8o3i 


8i3 9 


824-7 


8355 


lo 


3o 


7967 


8o84 


8202 


8319 


843 7 


8554 


2 9 


3o 


8463 


8570 


86 7 8 


8786 


88 9 3 


9001 


29 


3i 


8671 


8 7 8 9 


8 9 o6 


9023 


9140 


9 258 


28 


3i 


9109 


9216 


9 324 


9 432 


9 53 9 


9 64? 


28 


32 


9 3 7 5 


9492 


9 6o 9 


9726 


9 843 


99 6o 


2 7 


32 


9754 


9862 


99 6 9 


..76 


.184 


.2 9 I 


27 


33 


9,2 7 oo 77 


0194 


o3ii 


0428 


o545 


0662 


26 


33 


9.310399 


o5o6 


o6i3 


0720 


0828 


o 9 35 


26 


34 


779 


o8 9 5 


1012 


II2 9 


1246 


i362 


25 


34 


1042 


1x49 


1256 


i364 


i4 7 i 


i5 7 8 


25 


35 


i4 79 


i5 9 5 


I 7 I2 


i82 9 


1945 


2062 


24 


35 


i685 


1792 


i8 99 


2006 


2113 


2220 


24 


36 


2I 7 8 


2294 


2411 


2527 


2644 


2 7 6o 


23 


36 


2327 


2433 


254o 


2647 


2 7 54 


286l 


23 


37 


28 7 6 


2992 


3io 9 


3225 


334i 


345 7 


22 


37 


2968 


3o 7 4 


3i8i 


3288 


33 9 4 


35oi 


22 


38 


35 7 3 


368 9 


38o5 


3 9 2I 


4o3 7 


4i53 


21 


38 


36o8 


3 7 i4 


382i 


3927 


4o34 


4i4o 


21 


3 9 


4269 


4385 


45oi 


4617 


4 7 33 


484 9 


2O 


3 9 


4247 


4353 


446o 


4566 


46 7 2 


4779 


2O 


4o 


4g64 


5o8o 


5i 9 6 


53i2 


542 7 


5543 


I 9 


4o 


4885 


4991 


5o 9 8 


52o4 


53io 


54i6 


1 9 


4i 


5658 


5 77 4 


58 9 o 


6oo5 


6121 


6236 


1 8 


4i 


55 2 3 


5629 


5 7 35 


584i 


5 9 47 


6o53 


18 


42 


635i 


646 7 


6582 


66 9 8 


68i3 


6 9 28 


17 


42 


6i5 9 


6 2 65 


63 7 i 


6477 


6583 


668 9 


17 


43 


7 o43 


7 i5 9 


7 2 7 4 


7 38 9 


7 5o4 


7 6i 9 


16 


43 


6 79 5 


6901 


7 oo 7 


7 ii3 


7 2l8 


7324 


16 


44 


7734 


7849 


7 964 




819^ 


83o 9 


i5 


44 


7 43o 


7536 


7 64i 


774 7 


7 853 


79^8 


i5 


45 


8424 


853 9 


8654 


8 7 6c 


8884 


8 99 8 


i4 


45 


8o64 


8170 


82 7 5 


838i 


8486 


85 9 2 


i4 


46 


9 n3 


9228 


9 342 


9 45 7 


95-72 


9 686 


i3 


46 


86 97 


88o3 


8 9 o8 


9 oi3 


9 ii 9 


9224 


i3 


47 


9801 


99 i5 


..3o 


i44 


. 2 5 9 


.3 7 3 


12 


4 7 


9 33o 


9 435 


9 54o 


9 645 


97 5i 


9 856 


12 


48 


9.280488 


0602 


7 I 7 


o83i 


o 9 45 


io5 9 


II 


48 


9961 


..66 


.171 


.277 


.382 


.487 


II 


49 


n 7 4 


1288 


1402 


i5i6 


i63o 


i 7 4^ 


IO 


49 


9.320592 


0697 


0802 


o 9 O7 


IOI2 


1117 


10 


5o 


i858 


i 97 3 


2087 


2201 


23l/ 


2428 


g 


5o 


1222 


1326 


i43i 


i536 


i64i 


1746 


9 


5i 


2542 


2656 


2770 


2884 


2 99 8 


3iu 


8 


5i 


i85i 


i 9 55 


2060 


2i65 


226 9 


23 7 4 


8 


52 


3225 


333 9 


3453 


3566 


368o 


3 79 3 


7 


52 


24-79 


2583 


2688 


2793 


28 97 


3oo2 


7 


53 


3 9o 7 


4021 


4i34 


4248 


436i 


44 7 4 


6 


53 


3io6 


3211 


33i5 


3420 


3524 


3628 


6 


54 


4588 


4 7 oi 


48i5 


4 9 28 


5o4i 


5i54 


5 


54 


3 7 33 


383 7 


3 9 4i 


4o46 


4i5o 


4254 


5 


55 


5268 


538i 


549^ 


56o 7 


5 7 2O 


5833 


4 


55 


4358 


4463 


456 7 


4671 


4 77 5 


4879 


4 


56 


5 9 47 


6060 


617^ 


6286 


63 99 


65i2 


3 


56 


4Q83 


5o8 7 


5i 9 i 


52 9 5 


53 99 


55o3 


3 


5? 


6624 


6 7 3 7 


685o 


6 9 63 


7 o 7 6 


7 i8 9 


2 


57 


56o 7 


5 7 n 


58i5 


5 9 i 9 


6o23 


6127 


2 


58 


7 3oi 


7 4iJ 


7527 


7 63 9 


77 5 2 


7 865 


I 


58 


623i 


6334 


6438 


6542 


6646 


6 7 49 


I 


5 9 


7977 


8o 9 o 


8202 


83i5 


842 7 


854o 





5 9 


6853 


6 9 5 7 


7060 


7 i64 


7267 


737 


O 




60" 


50" 


40" 


30" 


20" 


10" 


. 




60" 


50" 


40" 


30" 


20" 


10" 


d 




Co-tangent of 79 Degrees. 


% 




Co-tangent of 78 Degrees. 


i 


P Port 5 l " %" 3 " 4 " 5 " 6 " 7 " 8 " 9 " 


( 1" 2" 3" 4" 5" 6" 7" S" 9" 


irl \ 12 23 35 47 59 70 82 94 106 


P.PartJ n 22 32 43 54 65 75 86 97 



36 



LOGARITHMIC SINES. 



Jj 


Sine of 12 Degrees. 







Sine of 13 Degrees. 




53 


0" 


10" 


20" 30" 40" 


50" 




* 


0" 


10" 


20" 


30" 


40" 


50" 




o 


9-3i7879 


797 


8077:81768275 


83 7 4 


i> 9 


09.352088 


2179 


22 7 


2362 2453 


2544 


5 9 


i 


8473 


85 7 2 


86 7 i 8 7 6 9 


8868 


8 9 6 7 


58 


I 


2635 


2-726 


28l ? 


2908 


2 999 


3o 9 o 


58 


2 


9 o66 


9i65 


9 263 9 362 


9 46i 




57 


2 


3i8i 


3272 


3363 


3454 


3545 


3636 


57 


J 


9 658 


97 5 7 


9 855 


99 54 


..52 


9 i5? 


56 


'. 


3 7 26 


38i 7 


3 9 o8 


3 999 


4o 9 


4i8o 


56 


L 


9 .32024 9 


o348 


o446 


o545 


o643 


7 42 


55 


L 


42 7 I 


4362 


4452 


4543 


4634 


4724 


55 


e 


o84o 


o 9 38 


io3 7 


ii35 


1233 


i332 


54 


t 


48i5 


4 9 o6 


4 99 6 


5o8 7 


5i 77 


5 2 68 


54 


6 


i43o 


i5 2 8 


1626 


1-724 


1822 


I 9 2I 


53 


6 


5358 


544 9 


553 9 


563o 


5 7 20 


58io 


53 


7 


20I 9 


2II 7 


2215 


23i3 


2411 


25o 9 


52 


7 


5 9 oi 


5 99 i 


6081 


6172 


6262 


635 2 


52 


8 


26o 7 


2 7 o5 


28O2 2 9 OO 


2 99 8 


3o 9 6 


5i 


8 


6443 


6533 


66 2 3 


6 7 i3 


68o3 


68 9 4 


Si 


9 


3i 9 4 


3292 


338 9 l348 7 


3585 


3683 


5o 


9 


6 9 84 


7074 


716^ 




7344 


7434 


5o 


10 


9 .3 2 3 7 8o 


38 7 8 


3 97 54o 7 3 


4171 


4268 


49 


10 


9 .35 7 524 


76i4 


774 


7794 


7 884 


7974 


4 9 


ii 


4366 


4463 


456i 4658 


4?56 


4853 


48 


ii 


8064 


8i54 


8243 


8333 


8423 


85i3 


48 


12 


4 9 5o 


5o48|5i45 


5 2 43 


534o 


543 7 


47 


12 


86o3 


86 9 2 


8 7 8 2 


88 7 2 


8962 


9 o5i 


47 


i: 


5534 


5632 5-729 


5826 


5 92 3 


6020 


46 


i3 


9 i4i 


9 23l 


9 320 


9 4io 


9499 


9 58 9 


46 


i4 


6ii 7 


62i563i2 


64o 9 


65o6 


66o3 


45 


ii 


9678 


97 68 


9 858 


9947 


..36 


.126 


45 


i5 


6 7 oo 


6 7 9 7 6894 


6 99 i 


7 o8 7 


7184 


44 


i5 


9 .36o2i5 


o3o5 


o3 9 4 


o484 


o5 7 3 


0662 


44 


16 


7281 


7 3 7 8 7 4 7 5 


7 5 7 2 


-7668 


7765 


43 


16 


7 52 


o84i 


o 9 3o 


ioi 9 


1109 


ii 9 8 


43 


i 7 


7862 


79 58 8o55 


8i5 2 


8248 


8345 


42 


17 


I28 7 


i3 7 6 


i465 


1 554 


1 644 


I 7 33 


42 


18 


8442 


85388635 


8 7 3i 


8828 


8 9 24 


4i 


18 


1822 


i 9 n 


2OOO 


208 9 


2I 7 8 


226 7 


4i 


i 9 


9 02I 


9 II 79 2l3 


9 3io 


9 4o6 


9 502 


4o 


19 


2356 


2445 


2534 


2623 


2 7 II 


28OO 


4o 


20 


9 .32 9 5 99 


9695 9 79 i 


9 888 


9984 


..80 


3 9 


20 


9 .36288 9 


a 97 8 


3o6 7 


3i56 


3244 


3333 


3 9 


21 


9 .33oi 7 6 


02 7 2 o368 


o465 


o56i 


o65 7 


38 


21 


3422 


35n 


35 99 


3688 


3777 


3865 


38 


22 


o 7 53 


0849 945 


io4i 


1187 


1233 


3 7 


22 


3 9 54 


4042 


4i3i 


4220 


43o8 


43 97 


37 


23 


i32 9 


l424 l520 


1616 


I 7 I2 


1808 


36 


23 


4485 


45 7 4 


4662 


4 7 5i 


483 9 


4 9 2 7 


36 


24 


I 9 o3 


I 999 |2o 9 5 


2I 9 I 


2286 


2382 


35 


24 


5oi6 


5io4 


5i 9 3 


5281 


536 9 


545 7 


35 


25 


24 7 8 


25 7 3 2669 


2-764 


2860 


2 9 56 


34 


25 


5546 


5634 


5 7 22 


58io 


58 99 


5 9 8 7 


34 


26 


3o5i 


3i47 


3242 


333 7 


3433 


35 2 8 


33 


26 


6o 7 5 


6i63 


6 2 5i 


633 9 


642-7 


65i6 


33 


27 


3624 


3 7 i 9 


38i4 


3 9 io 


4oo5 


4ioo 


32 


27 


66o4 


66 9 2 


6 7 8o 


6868 


6 9 56 


7o44 


32 


28 


4i 9 5 


4291 


4386 


448 1 


45 7 6 


46 7 i 


3i 


28 


7 i3i 


7 2I 9 


7 3o 7 


7 3 9 5 


7483 


7 5 7 i 


3i 


2 9 


4 7 6 7 


4862 


4 9 5 7 


5o5 2 


5i4 7 


5242 


3o 


29 


7 65 9 


7747 


7834 


79 22 


8010 


8098 


3o 


3o 


9 .33533 7 


5432 


55 27 


5622 


5 7 i6 


58ii 


2 9 


3o 


9 .368i85 


82 7 3 


836i 


8448 


8536 


8624 


2 9 


3i 


5 9 o6 


6001 


6o 9 6 


6i 9 i 


6 2 85 


638o 


28 


3i 


8711 


8799 


8886 


8 97 4 


9 o6i 


9 i4 9 


28 


32 


6475 


65 7 o 


6664 


6 7 5 9 


6854 


6 9 48 


2 7 


32 


9 236 




9 4n 


9 4 99 


9 586 


9 6 7 3 


27 


33 


?o43 


7 l3 7 7 232 


7 3 2 6 


7421 


7 5i5 


26 


33 


9761 


9 848 


99 36 


..23 


. no 


.i 97 


26 


34 


7 6io 


77 o4 7799 


7 8 9 3 


7988 


8082 


25 


34 


9 .3 7 0285 


o3 7 2 


o45 9 


o546 


o634 


7 2I 


25 


35 


81-76 


82-71 8365 


845 9 


8553 


8648 


24 


35 


0808 


o8 9 5 


0982 


io6 9 


ii56 


1243 


24 


36 


8 7 42 


88368 9 3o 


9 024 


9 ii8 


9 2I2 


23 


36 


i33o 


1417 


i5o4 


i5 9 i 


16-78 


i 7 65 


23 


3 7 


9 3o 7 


9401^495 


9 58 9 


9 683 


9777 


22 


37 


i85 2 


i 9 3 9 


2026 


2113 


2200 


228-7 


22 


38 


9871 


9964 -.58 




.246 


.34o 


21 


38 


23 7 3 


2460 


254-7 


2634 


2 7 2I 28o 7 


21 


3 9 


9. 34o434 


05280621 


o 7 i5 


o8o 9 


0903 


2O 


-39 


2894 


2 9 8i 


3o6 7 


3i54 


324i 332 7 


2O 


4o 


9.340996 


1090 1184 


I2 7? 


i3 7 i 


1 464 


'9 


4o 


9 .3 7 34i4 


35oo 


358 7 


36 7 4 


3 7 6o 


384 7 


'9 


4i 


i558 


1 652 i 7 45 


i83 9 


I 9 32 


2026 


18 


4i 


3 9 33 


4O20 


4io6 


4l 9 2 


42 79 


4365 


18 


42 


2119 


2212 23o6 


23 99 


24 9 3 


2586 


'7 


42 


4452 


4538 


4624 


4 7 n 


4797 


4883 


1 7 


43 


2 6 79 


2 77 2 2866 


2 9 5 9 


3o52 


3i45 


16 


43 


4 97 o 


5o56 


5i42 


5228 


53i4 


54oi 


16 


44 


323 9 


3332 3425 


35i8 


36ii 


3704 


i5 


44 


548 7 


55 7 3 


565 9 


5 7 45 


583i 


5 9 i 7 


i5 


45 


3 797 


38 9 o3 9 83 


4o 7 6 


4i6 9 


4262 


i4 


45 


6oo3 


6o8 9 


6i 7 5 


6261 


6347 


6433 


i4 


46 


4355 


4448454i 


4634 


4 7 2 7 |4820 


i3 


46 


65i 9 


66o5 


6691 


6777 


6863 


6 9 4 9 


i3 


47 


4912 


5oo5 


5o 9 8 


5i 9 i 


5283l53 7 6 


12 


47 


7 o35 


-7120 


-7206 


7 2 9 2 


7 3 7 8 


7464 


12 


48 


546 9 
6024 


556i 5654 
61 17)62 10 


5 7 4 7 
63o2 


583 9 |5 9 32 
63 9 5648 7 


II 

IO 


48 
4 9 


7 54 9 
8o63 


7 635 
8i4 9 


8235 


7 8o6 

8320 


7 8 9 2 
84o6 


7978 
84 9 i 


II 
10 


5o 


9 .3465 79 


66-72 6 7 64 


685 7 


6 9 4 9 7 o4i 


9 


5o 


9 .3 7 85 77 


8662 


8 7 48 


8833 


8919 


9 oo4 


9 


5i 


7 i34 


-7226 7 3i8 


7 4io 


7 5o3 7 5 9 5 


8 


5i 


9 o8 9 


9 i 7 5 


9260 


9 346 


943i 


9 5i6 


8 


52 


7 68 7 


77797871 


79 63 


8o568i48 


7 


52 


9 6oi 


9 68 7 


9772 


9 85 7 


9942 


..28 


7 


53 


8240 


8332 8424 


85i6 


8608 8 7 oo 


6 


53 


9 .38oii3 


oi 9 8 


0283 


o368 


o454 


o53 9 


6 


54 


8 79 2 


8884189-76 


9 o6 7 


9 i5 9 9 25i 


5 


54 


0624 


o 7 o 9 


0-794 


0879 


o 9 64 


io4 9 


5 


55 


9 343 


9 435 


9 526 


9 6i8 


97 io 9 8o2 


4 


55 


1 1 34 


I2I 9 


i3o4 


i38 9 


1474 


i55 9 


4 


56 


9 8 9 3 


99 85 


77 


.168 


.260 


.35 2 


3 


56 


i643 


1-728 


i8i3 


i8 9 8 


i 9 83 


2068 


3 


57 


9.35o443 


o535 


0626 


0-718 


o8o 9 


0901 


2 


57 


2l52 


223 7 


2322 


2406 


24 9 I 


25 7 6 


2 


58 


0992 


1084 


n 7 5 


1266 


i358i44 9 


I 


58 


266l 


2 7 45 


283o 


2 9 i4 


2999 


3o84 


I 


5 9 


i54o 


i632 i 7 23 


1814 


I 9 o6|i 997 


O 


5 9 


3i68 


3253 


333 7 


3422 


35o6 


35 9 i 







60" 


50" ! 40" 


30" 


20" 10" 


a 




60" 


50" 


40" 30" 


20" 10" 


d 




Co-sine of 77 Degrees. 


1 




Co-sine of 76 Degrees. 


1 


P Part 5 l " 2 " 3 " 4 " 5 " 6// 7 " 8// 9 " 


p p (1" 2" 3" 4" 5" 6" 7" 8" 9" 


I 9 19 28 38 47 57 66 76 85 


{9 18 26 35 44 53 61 70 79 



LOGARITHMIC TANGENTS. 



ri 




Tangent of 12 Degrees. 




I 


Tangent of 13 Degrees. 






0" 


10" 


20" 


30" 


40" 


50" 




m 


0" 


10" 


20" 


30" 


40" 


50" 




o 


9 .32 7 4 7 5 


7 5 7 8 


7 682 


77 85 


7 888 


799 2 


5 9 


o 


9. 363364 


346o 


3556 


3652 


3 7 48 


3844 


5 9 


I 


8o 9 5 


8i 99 


8302 


84o5 


85o 9 


8612 


58' 


i 


3 9 4o 


4o36 


4i3 2 


4228 


4324 


4420 


58 


2 


8 7 i5 


8819 


8922 


9 025 


9 I28 


9 23l 


5 7 


2 


45i5 


46u 


4707 


48o3 


48 99 


4 99 4 


5 7 


3 


9 334 


9 438 


9541 


9 644 


9747 


9 85o 


56 


3 


5o 9 o 


5i86 


5282 


53 77 


5473 


5568 


56 


4 


99 53 


..56 


.i5 9 


.262 


.365 


.468 


55 


4 


5664 


5 7 6o 


5855 


5 9 5i 


6o46 


6142 


55 


5 


9.330570 


o6 7 3 


0776 


o87 9 


9 82 


1084 


54 


5 


623 7 


6333 


6428 


6524 


66 I9 


6 7 i5 


54 


6 


1187 


1290 


i3 9 3 


i4 9 5 


i5 9 8 


1701 


53 


6 


6810 


6 9 o5 


7001 


70 9 6 


7i 9 i 


7287 


53 


7 


i8o3 


1906 


2008 


2III 


22l3 


23i6 


52 


7 


7 38a 


7477 


7572 


7668 


7763 


7 858 


52 


8 


2418 


2521 


2623 


2726 


2828 


2 9 3o 


5i 


8 


79 53 


8o48 


8i43 


8 2 3 9 


8334 


842 9 


5i 


9 


3o33 


3i35 


323 7 


334o 


3442 


3544 


5o 


9 


8524 


8619 


8714 


88o 9 


8 9 o4 


8 999 


5o 


10 


9.333646 


3 7 48 


385i 


3 9 53 


4o55 


4i5 7 


49 


10 


9 .36 9 o 9 4 


9 i8 9 


9 284 


9 3 7 8 


9 4 7 3 


9 568 


49 


ii 


4259 


436i 


4463 


4565 


466 7 


476 9 


48 


ii 


9 663 


9758 


9 853 


9947 


..42 


.i3 7 


48 


12 


48 7 i 


4 97 3 


5o 7 5 


5i 77 


5 279 


538o 


47 


12 


9 .3 7 0232 


o326 


O42I 


o5i6 


0610 


o 7 o5 


4 7 


i3 


5482 


5584 


5686 


5 7 88 


588 9 


5 99 i 


46 


i3 


799 


o8 9 4 


o 9 8 9 


io83 


n 7 8 


I2 7 2 


46 


i4 


6093 


6194 


6296 


63 9 8 


64 99 


6601 


45 


i4 


i36 7 


i46i 


i556 


i65o 


1744 


i83 9 


45 


i5 


6702 


6804 


6905 


7 oo 7 


7 io8 


7210 


44 


T5 


i 9 33 


2028 


2122 


2216 


23ll 


24o5 


44 


16 


7 3n 


74i3 


?5i4 


7 6i5 


77 I 7 


7818 


43 


16 


2499 


25 9 3 


2688 


2 7 82 


28 7 6 


2 97 


43 


*7 


79 * 9 


8021 


8122 


8223 


8324 


8426 


42 


17 


3o64 


3i5 9 


3 2 53 


334 7 


344i 


3535 


42 


18 


852 7 


8628 


8729 


883o 


8 9 3i 


9 o32 


4i 


18 


362 9 


3 ?2 3 


38i 7 


3 9 n 


4oo5 


4o 99 


4i 


9 


91 33 


9 234 


933$ 


9 436 


9 53 7 


9 638 


4o 


J 9 


4i 9 3 


4287 


438i 


4475 


456 9 


4662 


4o 


20 


9 .33 97 3 9 


9840 


9941 


..42 


.i43 


.243 


3 9 


20 


9 .3 7 4 7 56 


485o 


4 9 44 


5o38 


5i3i 


5225 


3 9 


21 


9 .34o344 


o445 


o546 


o646 


0747 


o848 


38 


21 


53i 9 


54i3 


55o6 


56oo 


56 9 4 


5 7 8 7 


38 


22 


b 9 48 


1049 


n5o 


I25o 


i35i 


i45i 


37 


22 


588i 


5 97 5 


6068 


6162 


6255 


634 9 


37 


23 


i552 


i65 2 


1753 


i853 


i 9 54 


2o54 


36 


23 


6442 


6536 


662 9 


6723 


6816 


6 9 io 


36 


24 


2i55 


2255 


2355 


2456 


2556 


2656 


35 


24 


7 oo3 


70 9 6 


7 I 9 


7283 


7 3 7 6 


7 4 7 o 


35 


25 


2 7 5 7 


2 85 7 


2957 


3o5 7 


3i58 


3258 


34 


25 


7 563 


7656 


7 7 5o 


7843 


7936 


8o2 9 


34 


26 


3358 


3458 


3558 


3658 


3 7 58 


3858 


33 


26 


8122 


8216 


83o 9 


8402 


84 9 5 


8588 


33 


27 


3 9 58 


4o58 


4i58 


4258 


4358 


4458 


32 


27 


8681 


8774 


8867 


8 9 6o 


9 o53 


9 i46 


32 


28 


4558 


4658 


4758 


4858 


4 9 5 7 


5o57 


3i 


28 


9 23 9 


9 332 


9 425 


9 5i8 


9 6n 


97 o4 


3i 


29 


5i5 7 


525 7 


535 7 


5456 


5556 


5656 


3o 


29 


9797 


9 8 9 o 


99 83 


.. 7 5 


.168 


.261 


3o 


3o 


9 .345 7 55 


5855 


5 9 54 


6o54 


6i54 


6253 


2 9 


3o 


9 .38o354 


o446 


o53 9 


o632 


O 7 25 


0817 


2 9 


3i 


6353 


645 2 


6552 


665i 


6751 


685o 


28 


3i 


0910 


ioo3 


io 9 5 


1188 


1280 


1373 


28 


32 


6 9 4 9 


7049 


7i48 


7 248 


?34 7 


7446 


2 7 


32 


i466 


i558 


i65i 


1743 


i836 


I 9 28 


27 


33 


7 545 


7645 


7744 


7 843 


7 9 42 


8042 


26 


33 


2020 


2Il3 


22O5 


22 9 8 


23 9 o 


2482 


26 


34 


8i4i 


8240 


833 9 


8438 


853 7 


8636 


25 


34 


2 5 7 5 


2667 


2 7 5 9 


2852 


2 9 44 


3o36 


25 


35 


8 7 35 


8834 


8 9 33 


9 o3 2 


9 i3i 


9 23o 


24 


35 


3l29 


3221 


33i3 


34o5 


34 9 7 


358 9 


24 


36 


9 32 9 


9428 


9 52 7 


9 626 


97 24 


9 823 


23 


36 


3682 


3 77 4 


3866 


3 9 58 


4o5o 


4i42 


23 


37 


99 22 


. .21 


. I2O 


.218 


.817 


.4i6 


22 


37 


4234 


4326 


44i8 


45io 


4602 


46 9 4 


22 


38 


9 .35o5i4 


o6i3 


0712 


0810 


o 9 o 9 


1007 


21 


38 


4 7 86 


48 7 8 


4 97 o 


5o62 


5i53 


5245 


21 


3 9 


1106 


I2O4 


i3o3 


i4oi 


i5oo 


i5 9 8 


2O 


3 9 


533 7 


542 9 


552i 


56i2 


5704 


5 79 6 


2O 


4o 


9 .35i6 97 


I 7 95 


i8 9 4 


I 99 2 


2O 9 O 


2i8 9 


J 9 


4o 


9 385888 


5 979 


6o 7 i 


6i63 


6254 


6346 


J 9 


4i 


228 7 


2385 


2483 


2582 


2680 


2778 


18 


4i 


6438 


65 29 


6621 


6712 


68o4 


68 9 5 


18 


42 


28 7 6 


29 7 4 


3o 7 3 


3i 7 i 


326 9 


336 7 


17 


42 


6 9 8 7 


7 o 7 8 


7 i 7 o 


7261 


7353 


7444 


i? 


43 


3465 


3563 


36Gi 


3 7 5 9 


385 7 


3 9 55 


16 


43 


7536 


7 62 7 


77i8 


7810 


7 9 oi 


799 2 


16 


44 


4o53 


4i5i 


424 9 


434 7 


4445 


4542 


i5 


44 


8o84 


8i 7 5 


8266 


8358 


844 9 


854o 


i5 


45 


464o 


4 7 38 


4836 


4 9 34 


5o3i 


5l2 9 


i4 


45 


863i 


8722 


88i4 


8 9 o5 


8 99 6 


9 o8 7 


i4 


46 


522 7 


5324 


5422 


5520 


56i 7 


5 7 i5 


i3 


46 


9178 


9 26 9 


9 36o 


9 45i 


9 542 


9 633 


i3 


47 


58i3 


5910 


6008 


6io5 


6203 


63oo 


12 


47 


9724 


9 8i5 


99 o6 


9997 


..88 


.179 


12 


48 


63 9 8 


6495 


65 9 3 


66 9 o 


6787 


6885 


II 


48 


9.390270 


o36i 


o452 


o543 


o633 


7 24 


II 


49 


6 9 82 


779 


7177 


7274 


7 3 7 i 


746 9 


10 


49 


o8i5 


o 9 o6 


997 


1087 


1178 


I26 9 


IO 


5o 


9 .35 7 566 


7 663 


7760 


7 85 7 


7954 


8o5 2 


9 


5o 


9.391360 


i45o 


i54i 


i63 2 


1722 


i8i3 


9 


5i 


8i4 9 


8246 


8343 


844o 


853 7 


8634 


8 


5i 


1903 


i 99 4 


2080 


2175 


2266 


2356 


8 


52 


8 7 3i 


8828 


8 9 25 


9 O22 


9119 


9 2l6 


7 


52 


2447 


253 7 


2628 


2718 


2808 


2 8 99 


7 


53 


9 3i3 


9 4o 9 


9 5o6 


9 6o3 


9700 


9797 


6 


53 


2989 


3o8o 


3i 7 o 


3260 


335i 


344i 


6 


54 


9 8 9 3 


999 


..87 


.184 


.280 


.3 77 


5 


54 


353! 


3622 


3 7 I2 


38o2 


38 9 2 


3 9 83 


5 


55 


9 .36o4 7 4 


o5 7 o 


0667 


o 7 63 


0860 


o 9 5 7 


4 


55 


4o 7 3 


4i63 


4253 


4343 


4433 


4523 


4 


56 


io53 


n5o 


1246 


1 343 


i43 9 


i535 


3 


56 


46i4 


4704 


4794 


4884 


4 9 74 


5o64 


3 


57 


i632 


I 7 28 


1825 


I 9 2I 


2017 


2Il4 


2 


5 7 


5i54 


5 2 44 


5334 


5424 


55i4 


56o4 


2 


58 


22IO 


23o6 


2 4o3 


24 99 


2 5 9 5 


26 9 I 


I 


58 


56 9 4 


5 7 83 


58 7 3 


5 9 63 


6o53 


6i43 


I 


5 9 


2 7 8 7 


2884 


2 9 8o 


3o 7 6 


3172 


3268 





5 9 


6233 


6322 


64i2 


65o2 


65 9 2 


6681 







60" 


50" 40" 


30'' 


20" 


10" 


^ 




60" 50" 


40" 


30" 


20" 


10" 







Co-tangent of 77 Degrees. 







Co-tangent of 76 Degrees. 


s 


p p C 1" 2" 3" 4" 5" 6" 7" 8" 9" 


. C 1" 2" 3" 4" 5" 6" 7" 8" 9" 


I 10 20 30 40 50 60 70 80 90 


r.rari^ 9 ig 2g 3? 46 f>6 65 74 gg 



LOGARITHMIC SINES. 



.3 


Sine of 14 Degrees. 




d 


Sine of 15 Degrees. 




1 


0" 


10" 


20" 30" j 40" 


50" 




9 


0" 


10" 


20" 


"30" 


40" 


50" 







9 .3836 7 5 


3 7 6o 


38443 9 28i4oi3 


4o 97 


5 9 


o 


9 .4i2 99 6 


3o 7 5 


3i53 


3232 


33io 


338 9 


5 9 


I 


4182 


4266 


435o443545i 9 


46o3 


58 


I 


346 7 


3546 


3624 


3 7 o3 


3 7 8i 


386o 


58 


2 


468 7 


477 2 


48564 9 4o5o 2 4 


5io8 


57 


2 


3 9 38 


4oi6 


4o 9 5 


4i 7 3 


4252 


433o 


5 7 


3 

4 


5l 9 2 

56 97 


5277 
5 7 8i 


536i 54455520. 
5865 5 9 4 9 '6o33 


56i3 
6n 7 


56 
55 


3 

4 


44o8 
48 7 8 


4486 
4 9 56 


4565 
5o34 


4643 

5lI2 


4 7 2I 

5i 9 o 


48oo 
5 2 6 9 


56 
55 


5 


6201 


6 2 85 


636 9 6452 


6536 


6620 


54 


5 


534 7 


5425 


55o3 


558i 


565 9 


5 7 3 7 


54 


6 


6704 


6788 


6872 6 9 55 


7 o3 9 


7 I23 


53 


6 


58i5 


58 9 3 


5 97 i 


6o4 9 


6l2 7 


6205 


53 


7 


7207 


72 9 o 


7374 7458 


7 54i 


7 625 


52 


7 


6 2 83 


636i 


643 9 


65i 7 


65 9 5 


66 7 3 


52 


8 


7709 


7792 


7876 7 9 5 9 8o43 


8l2 7 


5i 


8 


6 7 5i 


6828 


6 9 o6 


6 9 84 


7 o62 


7 i4o 


5i 


9 


8210 


820.4 83778461 


8544 


862 7 


5o 


9 


7217 


7 2 9 5 


7 3 7 3 


7 45i 


7 5 2 8 


7 6o6 


5o 


10 


9 . 388711 


879488788961 


9 o44 


9 I28 


49 


10 


9 .4i 7 684 


7761 


7 83 9 


79 i 7 


7994 


8o 7 2 


49 


ii 


9 2II 


9 2 9 4 9 3 7 8 9 46i 


9 544 


9 62 7 


48 


1 1 


8i5o 


8227 


83o5 


8382 


846o 


853 7 


48 


12 


97" 


9794 


98779960 


..43 


.126 


47 


12 


86i5 


86 9 2 


8 77 o 


884 7 


8 9 25 


9 002 


4 7 


i3 


9 .3 9 02IO 


o2 9 3 o3 7 6 o45 9 


o542 


0625 


46 


i3 


979 


9 i5 7 


9 234 


9 3l2 


9 38 9 


9 466 


46 


i4 


0708 


O7 9 i 0874 o 9 57 


io4o 


1123 


45 


i4 


9 544 


9 62I 


9 6 9 8 


977 6 


9 853 


99 3o 


45 


i5 


1206 


I28 9 


i3 7 i 


1454 


i53 7 


1620 


44 


i5 


9 .42OOO 7 


oo85 


0162 


023 9 


o3i6 


o3 9 3 


44 


16 


1703 


1786 


1868 


i 9 5i 


2o34 


2117 


43 


16 


o4 7 o 


o548 


0625 


0702 


779 


o856 


43 


*7 


2i 99 


22822365 


244 7 


253o 


26i3 


42 


17 


o 9 33 


IOIO 


io8 7 


n64 


1241 


i3i8 


42 


18 


26 9 5 


2778 


2860 


2 9 43 


3 02 5 


3io8 


4i 


18 


i3 9 5 


1472 


i54 9 


1626 


I 7 o3 


1-780 


4i 


J 9 


3i 9 i 


32 7 3 


3356 


3438 


35 2 o 


36o3 


4o 


! 9 


i85 7 


I 9 33 


2010 


2087 


ai64 


224l 


4o 


3O 


9 .3 9 3685 


3 7 68 


385o 


3 9 3 2 


4oi5 


4o 97 


3 9 


20 


9 .4223l8 


2 3 9 4 


24 7 I 


2548 


2625 


2 7 OI 


3 9 


21 


4179 


4262 


4344 


4426 


45o8 


45 9 i 


38 


21 


2 77 8 


2855 


2 9 3i 


3oo8 


3o85 


3i6i 


38 


22 


46 7 3 


475548374919 


5O02 


5o84 


37 


22 


3238 


33i5 


33 9 i 


3468 


3544 


362i 


3 7 


23 


5i66 


5 3 48 


533o 


54i2 


54 9 4 


55 7 6 


36 


23 


36 97 


3 77 4 


385o 


3927 


4oo3 


4o8o 


36 


24 


5658 


5740 5822 


5 9 o4 


5 9 86 


6068 


35 


24 


4i56 


4233 


43o 9 


4386 


4462 


4538 


35 


25 


6i5o 


623 2 63i4 


63 9 5 


64 77 


655 9 


34 


25 


46i5 


46 9 i 


4 7 6 7 


4844 


4 9 20 


4 99 6 


34 


26 


664i 


67236805 


6886 


6 9 68. 


7o5o 


33 


26 


5o 7 3 


5i49 


5225 


53oi 


53 7 8 


5454 


33 


27 


7132 


7213 72 9 5 


7377 


7 458 


754o 


32 


27 


553o 


56o6 


5682 


5758 


5835 


5 9 n 


32 


28 


7621 


77 o3 77 85 


7866 


79 48 


8o2 9 


3i 


28 


5 9 8 7 


6o63 


6i3 9 


6ai5 


62 9 i 


636 7 


3i 


29 


8111 


8l 9 2 


8274 


8355 


843 7 


85i8 


3o 


2 9 


6443 


65i 9 


65 9 5 


6671 


6 7 4 7 


6823 


3o 


3o 


9 .3 9 86oo 


8681 


8762 


8844 


8 9 25 


9 oo7 


2 9 


3o 


9 .4268q 9 


6 97 5 


7 o5i 


7127 


7 2O2 


7 2 7 8 


29 


3i 


9 o88 


9 i6 9 9 25o 


9 332 


9 4i3 


9 4 9 4 


28 


3i 


7 354 


7 43o 


7 5o6 


7 582 


7 65 7 


7733 


28 


32 


9 5 7 5 


9 65 7 


9738 


9 8i 9 


99 oo 


99 8i 


2 7 


32 


7 8o 9 


7 885 


79 6o 


8o36 


8112 


8i8 7 


2 7 


33 


9 . 400062 


Ol44 0225 


o3o6 


o38 7 


o468 


26 


33 


'8263 


833 9 


84i4 


8490 


8566 


864i 


26 


34 


o54 9 


06300711 


o 79 2 


o8 7 3 


o 9 54 


25 


34 


8 7 i 7 


8 79 2 


8868 


8 9 44 


9 OI 9 


9 o 9 5 


25 


35 


io35 


1116 


n 9 7 


1277 


i358 


i43 9 


24 


35 


9 i 7 o 


9 246 


9 32I 


9 3 97 


9 4 7 2 


9 547 


24 


36 


l520 


1601 


1682 


1762 


i843 


I 9 24 


23 


36 


9 623 


9 6 9 8 


9774 


9 84 9 


99 24 


.... 


23 


- 3 7 


2005 


2085 


2166 


2247 


2328 


2408 


22 


37 


9 .43oo 7 5 


oi5o 


0226 


o3oi 


o3 7 6 


o45i 


22 


38 


248 9 


25 7 o 265o 


2731 


2811 


280,2 


21 


38 


o52 7 


0602 


o6 77 


0752 


0828 


o 9 o3 


21 


3 9 


2 97 e 


3o53 


3i33 


32i4 


32 9 4 


33 7 5 


20 


3 9 


o 97 8 


io53 


1128 


1203 


I2 7 8 


i354 


20 


4o 


9 .4o3455 


3536 36i6 


36 97 


3777 


385 7 


I 9 


4o 


9 .43i42 9 


i5o4 


i5 79 


1 654 


I 7 2 9 


1804 


'9 


4i 


3 9 38 


4oi8 


4o 9 8 


4i 7 9 


425 9 


433 9 


18 


4i 


i8 79 


i 9 54 


2O2 9 


2104 


2I 79 


2254 


18 


4s 


4420 


45oo458o 


466o 


474i 


4821 


17 


42 


232 9 


24o3 


24 7 8 


2553 


2628 


2 7 o3 


17 


43 


4 9 oi 


4981 


5o6i 


5i4i 


5221 


5302 


16 


43 


2 77 8 


2853 


2 9 2 7 


3002 


3o 77 


3i5 2 


16 


44 


5382 


5462 


5542 


5622 


5 7 02 


5 7 82 


i5 


44 


3226 


33oi 


33 7 6 


345 1 


3525 


36oo 


i5 


45 


.5862 


5 9 42 


6022 


6102 


6181 


6-261 


i4 


45 


36 7 5 


3 7 4 9 


3824 


38 9 8 


3 97 3 


4o48 


i4 


46 


634i 


6421 


65oi 


658 1 


6661 


6 7 4o 


i3 


46 


4122- 


419-7 


42 7 I 


4346 


4420 


44 9 5 


i3 


4? 

48 


6820 
7 2 99 


6 9 oo 6 9 8o 

7 3 7 8 7 458 


7 o6o 
7 538 


7 i3 9 
7 6i 7 


7219 
7697 


12 
II 


47 
48 


456 9 
5oi6 


4644 
5o 9 i 


4 7 i8 
5i65 


4793 
523 9 


486 7 
53x4 


4 9 42 
5388 


12 
II 


' 49 


7777 


7 856 


7 9 368oi5 


8o 9 5 


8i 7 4 


10 


49 


5462 


553 7 


56n 


5685 


5 7 6o 


5834 


10 


5o 


9 . 4o8 2 54 


8333 


84i3 


8492 


85 72 865i 


9 


5o 


9 .435 9 o8 


5 9 82 


6o56 


6i3i 


62o5 


62 79 


9 


5i 


8731 


8810 888 9 


8 9 6 9 


9 o48 9 i2 7 


8 


5i 


6353 


642 7 


65o2 


65 7 6 


665o 


6 7 24 


8 


52 


0,207 


0.286 9 365 


9 445 


9 524 9 6o3 


7 


52 


6 79 8 


68 7 2 


6 9 46 


7020 


7 o 9 4 


7168 


1- 


53 


0,682 


9762.9841 


99 20 


9999 


..78 


6 


53 


7242 


7 3i6 


7 3 9 o 


7464 


7 538 


7612 


6 


54 


9 .4ioi57 


O23 7 o3i6 


o3 9 5 


o4 7 4 


o553 


5 


54 


7 686 


77 6o 


7 834 


79 o8 


79 Sl 


8o55 


5 


55 


o63 2 


0711 


o 79 o 


o86 9 


O 9 48JIO2 7 


4 


55 


8i2 9 


8 2 o3 


82 77 


835i 


8424 


84 9 8 


4 


56 


1 1 06 


n85 


1264 


i343 


1422 


i5oo 


3 


56 


85 7 2 


8646 


8 7 i 9 


8 79 3 


886 7 


8 9 4i 


3 


5 7 


i5 79 


i658 


i 7 3 7 


1816 


i8 9 5 


i 97 3 


2 


57 


9 oi4 


9 o88 


9 l62 


9 235 


9 3o 9 


9 382 


2 


58 


2052 


2l3l 


2210 


2288 


236 7 


2446 


I 


58 


9 456 


9 53o 


9 6o3 


9 6 77 


97 5o 


9 824 


I 


5 9 


2524 


26o3 


2682 


2 7 6o 


283 9 


2 9 l8 


O 


5 9 


9 8 97 


997 i 


..44 


.118 


.101 


.265 







GO" 


50" 


40" 


30" 


20" 


10" 


e 




60" 


50" 


40" 


30" 


20" 


10" 


c 




Co-sine of 75 Degrees. 


i 




Co-sine of 74 Degrees. 


5 


(I// o" Q' 

P Pni-t) J 


' 4" 5" Q" 7" 8" 9" 


, ( 1" 2" 3" 4" 5" 6" 7" 8" 9" 


Ul } 8 16 24 33 41 49 57 65 73 


irt } 8 15 23 30 38 46 53 61 68 



LOGARITHMIC TANGENTS. 



a 


Tangent of 14 Degrees. 




a 


Tangent of 15 Degrees. 




. 


0" 


10" 


20" 


30" 


40" 


50" 




m 


0" 


10" 


20" 


30" 


40" 


50" 




o 


9,396771 


6861 


6 9 5o 


7040 


7 i3o 


7 2I 9 


5 9 


o 


9 . 428052 


8137 


8221 


83o5 


838 9 


84 7 3 


69 


i 


7 3o 9 


7 3 99 


7 488 


7 5 7 8 


7 66 7 


77 5 7 


58 


i 


8558 


8642 


8 7 26 


8810 


88 9 4 


8978 


58 


2 


7 846 


7936 


8025 


8n5 


8204 


8294 


5 7 


2 


9062 


9i46 


9 23o 


9 3i4 


9 3 9 8 


9482 


5 7 


3 


8383 


8472 


8562 


865i 


8 7 4o 


883o 


56 


3 


9 566 


9 65o 


97 34 


9 8i8 


9902 


9986 


56 


4 


8919 


9008 


9 o 9 8 


9 l8 7 


9 2 7 6 


9 365 


55 


4 


9.430070 


oi54 


023 7 


0321 


o4o5 


o48 9 


55 


5 


9 455 


9544 


9 633 


97 22 


9811 


9900 


54 


5 


o5 7 3 


0657 


o 7 4o 


0824 


0908 


0992 


54 


6 


999 


79 


.168 


.25 7 


.346 


.435 


53 


6 


1075 


iiSg 


1243 


i326 


i4io 


i494 


53 


7 


9 ,4oo524 


o6i3 


O 7 O2 


o 79 i 


0880 


0969 


52 


7 


i5 77 


1661 


1745 


1828 


1912 


i 99 5 


52 


8 


io58 


ii4? 


1236 


i325 


i4i3 


1502 


5i 


8 


20 79 


2162 


2246 


232 9 


24l3 


2496 


5i 


9 


1591 


1680 


i 7 6 9 


i85 7 


1946 


2035 


5o 


9 


258o 


2663 


2747 


283o 


2914 


2997 


5o 


10 


9.402124 


2212 


2301 


2390 


24-78 


2 56 7 


49 


IO 


9.433o8o 


3i64 


3247 


333i 


34i4 


34 9 7 


4 9 


ii 


2656 


2 7 44 


2833 


2922 


3oio 


3o 99 


48 


ii 


358o 


3664 


3 7 4 7 


383o 


3914 


3997 


48 


12 


3187 


3276 


3364 


3453 


354i 


363o 


47 


12 


4o8o 


4i63 


4246 


433o 


44i3 


4496 


47 


i3 


3 7 i8 


38o 7 


38 9 5 


3983 


40 7 2 


4i6o 


46 


i3 


45 7 9 


4662 


4745 


4828 


4912 


4995 


46 


i4 


4249 


433 7 


4425 


45i4 


4602 


4690 


45 


U 


5o 7 8 


5i6i 


5 2 44 


532 7 


54io 


5493 


45 


i5 


4778 


486 7 


4 9 55 


5o43 


5i3i 


5219 


44 


i5 


5^ 7 6 


565 9 


5 7 42 


58 2 5 


5907 


5 99 o 


44 


16 


53o8 


5396 


5484 


55 7 2 


566o 


5 7 48 


43 


16 


6o 7 3 


6i56 


623 9 


6322 


64o5 


6488 


43 


17 


5836 


5924 


6012 


6100 


6!88 


62 7 6 


42 


17 


65 7 o 


6653 


6 7 36 


68i 9 


6901 


6 9 84 


42 


18 


6364 


6452 


654o 


6628 


6 7 i6 


68o4 


4i 


18 


7 o6 7 


7i5o 


7 232 


7 3!5 


7 3 9 8 


7 48o 


4i 


19 


6892 


6980 


7 o68 


7 i55 


7243 


7 33i 


4o 


J 9 


7 563 


7 646 


77 28 


7811 


7894 


797 6 


4o 


20 


9.407419 


7 5 7 


7 5 9 4 


7 682 


777 


7 858 


3 9 


20 


9.438059 


8i4i 


8224 


83o6 


838 9 


84 7 i 


3 9 


21 


79 45 


8o33 


8121 


8208 


8296 


8384 


38 


21 


8554 


8636 


8719 


8801 


8884 


8966 


38 


22 


8471 


855 9 


8646 


8 7 34 


8821 


8909 


37 


22 


9048 


9 i3i 


9 2l3 


9 2 9 6 


9 3 7 8 


9 46o 


37 


23 


8996 


9084 


9171 


9259 


9 346 


9434 


36 


23 


9 543 


9625 


977 


979 


9872 


9954 


36 


24 


9521 


9609 


9696 


9783 


9871 


99 58 


35 


24 


9.44oo36 


0119 


0201 


0283 


o365 


o44 7 


35 


25 


9 .4ioo45 


oi33 


O22O 


o3o 7 


o3 9 5 


0482 


34 


25 


o52g 


0612 


o6 9 4 


o 77 6 


o858 


0940 


34 


26 


0569 


o656 


7 43 


o83i 


0918 


ioo5 


33 


26 


IO22 


no4 


1186 


1268 


i35o 


i432 


33 


27 


1092 


1179 


1266 


i353 


i44i 


i5 2 8 


32 


27 


i5i4 


i5 9 6 


i6 7 8 


i 7 6o 


1842 


1924 


32 


28 


i6i5 


1702 


1789 


i8 7 6 


i 9 63 


2o5o 


3i 


28 


2006 


2088 


2I 7 


2252 


2334 


2416 


3i 


29 


2 1 37 


2224 


23lO 


2 3 97 


2484 


25 7 I 


3o 


2 9 


249-7 


2 5 79 


266l 


2 7 43 


2825 


2 9 7 


3o 


3o 


Q, 4i2658 


2 7 45 


2832 


2 9 I 9 


3oo5 


3092 


2 9 


3o 


9.442988 


3070 


3i5 2 


3234 


33i5 


33 97 


29 


3i 


3i79 


3266 


3352 


343 9 


3526 


36i3 


28 


3i 


34-79 


356o 


3642 


3724 


38o5 


388 7 


28 


32 


36 99 


3 7 86 


3873 


3 9 5 9 


4o46 


4i3 2 


2 7 


32 


3968 


4o5o 


4l32 


4213 


42 9 5 


43 7 6 


27 


33 


4219 


43o6 


43 9 2 


4479 


4565 


4652 


26 


33 


4458 


453 9 


4621 


4702 


4784 


4865 


26 


34 


4?38 


48 2 5 


4911 


4 99 8 


5o84 


5i 7 i 


25 


34 


4947 


5o28 


5no 


5i 9 i 


5272 


5354 


25 


35 


525 7 


5343 


543o 


55!6 


56o3 


5689 


24 


35 


5435 


55i 7 


55 9 8 


56 7 9 


5761 


5842 


24 


36 


5 77 5 


5862 


5 9 48 


6o34 


6120 


620-7 


23 


36 


5923 


6oo5 


6086 


6167 


6248 


633o 


23 


37 


6293 


63 79 


6465 


655i 


6638 


6 7 24 


22 


37 


64n 


64 9 2 


65 7 3 


6654 


6735 


681-7 


22 


38 


6810 


6896 


6982 


7 o68 


7i54 


7 240 


21 


38 


6898 


6 979 


-7060 


7141 


7222 


7 3o3 


21 


3 9 


7326 


74i3 


7499 


7 585 


7 6 7 i 


77 5 7 


2O 


3 9 


7384 


7 465 


7 546 


7627 


7708 


7789 


20 


4o 


9.417842 


79 28 


8014 


8100 


8186 


A 

82 7 2 


J 9 


4o 


9.44787 


79 5i 


8o3 2 


8n3 


8i 9 4 


82 7 5 


19 


4i 


8358 


8444 


853o 


8616 


8 7 oi 


8 7 8 7 


18 


4i 


8356 


843 7 


85i8 


85 99 


8680 


8-760 


18 


42 


8873 


8 9 5 9 


9044 


9 i3o 


9216 


9302 


l l 


42 


884i 


8 9 22 


9 oo3 


9 o84 


9 i64 


9 245 


J 7 


43 


9 38 7 


9 4 7 3 


9 55 9 


9 644 


97 3o 


9816 


16 


43 


9326 


9 4o 7 


9 48 7 


9 <<S 


9 64 9 


973o 


16 


44 


99 oi 


99 8 7 


..72 


.1.58 


.244 


.32 9 


i5 


44 


9810 


9 8 9 i 


997 2 


. .^2 


.i33 


.213 


i5 


45 


9 .42o4i5 


o5oo 


o586 


o6 7 i 


o 7 5 7 


0842 


i4 


45 


9.450294 


o3 7 5 


o455 


o536 


0616 


o6 97 


i4 


46 


9 2 7 


ioi3 


1098 


1184 


1269 


i354 


i3 


46 


0777 


o858 


o 9 38 


ioi 9 


io 99 


1180 


i3 


47 


i44o 


i525 


1610 


i6 9 6 


i 7 8i 


1866 


12 


47 


1260 


i34i 


1421 


i5o2 


i582 


1662 


12 


48 


I 9 52 


203 7 


2122 


22O 7 


2292 


23 7 8 


II 


48 


1743 


1823 


I 9 o3 


i 9 84 


2084 


2i44 


II 


49 


2463 


2548 


2633 


2 7 l8 


28o3 


2888 


IO 


49 


2225 


2 3o5 


2385 


2465 


2 546 


2626 


IO 


5o 


9.422974 


3o5 9 


3i44 


322 9 


33i4 


33 99 


9 


5o 


9.452706 


2-786 


286-7 


20.47 


3027 


3io 7 


9 


5i 


3484 


356 9 


3654 


3 7 3 9 


3824 


3 9 o 9 


8 


5i 


3i8 7 


326 7 


334 7 


3428 


35o8 


3588 


8 


52 


3993 


4o 7 8 


4i63 


4248 


4333 


44i8 


7 


52 


3668 


3 7 48 


3828 


3 9 o8 


3 9 88 


4o68 


7 


53 


45o3 


458 7 


4672 


4 7 5 7 


4842 


492-7 


6 


53 


4i48 


4228 


43o8 


4388 


4468 


4548 


6 


54 


Son 


5o 9 6 


5i8i 


5 2 65 


535o 


5435 


5 


54 


4628 


4 7 o8 


4787 


486 7 


4 9 4 7 


502 7 


5 


55 


55i 9 


56o4 


568 9 


5 77 3 


5858 


5942 


4 


55 


6107 


5i8 7 


526 7 


5346 


5426 


55o6 


4 


56 


602-7 


6112 


6196 


6281 


6365 


645o 


3 


56 


5586 


5655 


5 7 45 


58 2 5 


5 9 o5 


5 9 84 


3 


57 


6534 


66i 9 


670^ 


6 7 88 


68 7 2 


6g56 


2 


5? 


6064 


6i44 


6223 


63o3 


6383 


6462 


2 


58 


7 o4i 


7 I25 


7210 


72 9 4 


7 3 7 8 


7 463 


I 


58 


6542 


6622 


6-701 


6781 


6860 


6 9 4o 


I 


5 9 


7 54 7 


7 63i 


77 i5 


7 8oo 


7 884 


7968 


O 


5 9 


7019 


799 


7178 


7 258 


7337 


7 4i 7 


O 




60" 


50" 


40" 


30" 20" 


10" 


a 




60" | 50" 40" 30" 


20" 10" | d 




Co-tangent of 75 Degrees. 


i 




Co-tangent of 74 Degrees. | 


T, * $ 1" 2" 3" 4" 5" 6" 7" 8" 9" 


.C 1" 2" 3" 4" 5" 6" 7" 8" 9" 


r* ravf 1 / 

"} 9 17 26 35 43 52 61 69 78 


r. rartj g J6 25 33 41 49 5? 65 74 



40 



LOGARITHMIC SINES. 



A 


Sine of 16 Degrees. 




d 


Sine of 17 Decrees. 




s 


0" 


10" 


20" 


30" 


40" 


50" 




" S 


0" 


10" 20" 30" 1 40" 


50" 







9 .44o338 


o4n 


o485 


o558 


o632 


o 7 o5 


5 9 


O 


9 .465 9 35 6oo4 6o-3 6i4s 621 1 


6280 


5 9 


I 


0778 


o85 2 


0925 


0998 


1072 


n45 


58 


I 


6348 


64i 7 6486 6555 6623 


66 9 2 


58 


2 


1218 


1292 


i365 


i438 


i5u 


1 584 


57 


2 


6 7 6i 


683o68 9 8 


6967 


7 o36 


7 io4 


5 7 


3 


i658 


i 7 3i 


1804 


1877 


igSo 


2023 


56 


3 


7 i 7 3 


7242 


73io 


7 3 79 


7 448 


7 5i6 


56 


4 


20 9 6 


2170 


2243 


23i6 


2389 


2462 


55 


4 


7 585 


7 653 


77 22 


779 


7 85 9 


79 28 


55 


5 


2 535 


2608 


2681 


2754 


2827 


2900 


54 


5 


799 6 


8o65 


8i33 


8202 


82 7 


8338 


54 


6 


2 97 3 


3o46 


3119 


3192 


3265 


333 7 


53 


6 


8407 


8475 


85448612 


8681 


8 7 4 9 


53 


7 


34io 


3483 


3556 


3629 


3702 


3 77 4 


52 


7 


8817 


8886 


895419022 


9091 


9 l5 9 


52 


8 


3847 


3920 


3 99 3 


4o66 


4i38 


4211 


5i 


8 


9 227 


9 2 9 6 


9 364 


9432 


9 5oo 


9 56 9 


Si 


9 


4284 


4356 


4429 45o2 


45 7 4 


464 7 


5o 


9 


9 63 7 


97 o5 


9773 


9842 


9910 


99^8 


5o 


10 


9 . 444720 


4792 


48654938 


5oio 


5o83 


49 


10 


9 .4?oo46 


01 14 


0182 


025l 


0319 


o3b 7 


49 


ii 


5i55 


5 22 8 




5373 


5445 


55i8 


48 


ii 


o455 


o523 


oSgi 


o65 9 


o 7 2 7 


79 5 


48 


12 


55 9 o 


5663 


5 7 35 


58o8 


588o 


5 9 53 


47' 


12 


o863 


o 9 3i 


0999 


1067 


n35 


I203 


47 


i3 


6o25 


6097 


6i 7 o 6242 


63i4 


638 7 


46 


i3 


1271 


i33 9 


1 407 


i4?5 


1 543 


1611 


46 


i4 


645 9 


653i 


66o4 ; 66 7 6 


6 7 48 


6820 


45 


i2 


i6 79 


1746 


1814 


1882 


i 9 5o 


2018 


45 


i5 


68 9 3 


6965 


70377109 


-7182 


7254 


44 


i5 


2086 


2i53 


2221 


2289 


235 7 2424 


44 


16 


7326 


7 3 9 8 


7470 7542 


7 6i4 


7687 


43 


16 


24 9 2 


256o 


2628 


269^ 


2 7 63l 2 83i 


43 


17 


77 5 9 


7 83i 


79037975 


8o4 7 


8119 


42 


I? 


28 9 8 


2 9 66 


3o34 


3ioi 


3169 


323 7 


42 


18 


8i 9 i 


8263 


8335 


8407 


84 7 9 


855i 


4i 


18 


33o4 


33 7 2 


3439 


35o 7 


35 7 5 


3642 


4i 


i 9 


8623 


8695 


87678838 


8910 


8982 


4o 


'9 


3710 


3777 


3845 


3913 


3980 


4o4 7 


4o 


20 


9 . 449o54 


9126 


9198 9269 


9 34i 


94i3 


39 


20 


9 .474n5 


4182 


425o 


43i 7 


4384 


4452 


39 


21 


^485 


9 55 7 


9628 


9700 


9772 


9844 


38 


21 


45i 9 


458 7 


4654 


4721 


4 7 8 9 


4856 


38 


22 


99 i5 


9987 


,.5o 


.i3o 


.202 


.274 


37 


22 


4 9 23 


4991 


5o58 


5ia5 


5i 9 3 


5260 


37 


23 


9 .45o345 


0417 


o488 


o56o 


o632 


0703 


36 


23 


532 7 


53 9 4 


5462 


55a 9 


55 9 6 


5663 


36 


24 


0775 


o8'46 


0918 


0989 


1 06 1 


Il32 


35 


24 


5 7 3o 


5 79 8 


5865 


5 9 l2 


5 999 


6066 


35 


25 


1204 


1275 


1 34? 


i4i8 


i48 9 


i56i 


34 


25 


6i33 


6200 


6268 


6335 


6402 


6469 


34 


26 


i632 


1704 


i 77 5 


1 846 


1918 


1989 


33 


26 


6536 


66o3 


6670 


6 7 3 7 


68o4 


6871 


33 


27 


2060 


2l32 


2203 


2274 


2345 


2417 


32 


27 


6 9 38 


7 oo5 


7072 


7 l3 9 


7206 


7 2 7 3 


32 


28 


2488 


2 55 9 


263o 2702 


2 77 3 


2844 


3i 


28 


7340 


7 4o 7 


7 4 7 3 


7 54o 


7 6o 7 


7674 


3i 


2 9 


2 9 l5 


2986 


3o5 7 


3129 


3200 


3271 


3o 


2 9 


77 4i 


7808 


7 8 7 5 


79 4i 


8008 


8o 7 5 


3o 


3o 


9 . 453342 


34x3 


3484 


3555 


3626 


36 97 


2 9 


3o 


9 . 4-78142 


820 9 


8275 


8342 


8409 


8476 


29 


3i 


3 7 68 


383 9 


39103981 


4o52 


4l23 


28 


3i 


8542 


86o 9 


8676 


8742 


8809 


8876 


28 


32 


4194 


4265 


4336 44o 7 


44 77 


4548 


27 


32 


8 9 42 


9 oo 9 | 9 o76 


9142 


9209 


9 2 7 5 


2 7 


33 


46i 9 


4690 


4761 


483 2 


4903 


4973 


26 


33 


9 342 


9 4o 9 


9 4 7 5 


9l>42 


9608 


9 6 7 5 


26 


3/ 


5o44 


5n5 


5i86 


59.56 


5327 


53q8 


25 


34 


Q7/I 


0808 


0874 


no/ 1 




74 


25 


to to < 
0> Ui4 


546 9 
58 9 3 


553 9 
5 9 63 


56io568i 
6o346io4 


*/<J& J 

5 7 5i 
6i 7 5 


^^7 

5822 

6246 


24 
23 


35 
36 


7 I*** 

9 .48oi4o 
o53 9 


7 W 
O2O7 

o6o5 


7 /** 
0273 
0671 


7 7 H 
0339 

o 7 38 


0406 
o8o4 


0472 
0870 


24 
23 


37 


63i6 


638 7 


645 7 65 2 8 


65 9 8 


666 9 


22 


37 


o 9 3 7 


ioo3 


IO69 


n35 


I2O2 


1268 


22 


38 


6 7 3 9 


6810 


68806951 


7021 


7 o 9 i 


21 


38 


i334 


i4oo 


i46 7 


i533 


I 599 


i665 


21 


3 9 


7162 


7 232 


7 3o3 


7 3 7 3 


7 443 


7 5i4 


2O 


3 9 


I 7 3i 


1798 


1 864 


i 9 3o 


1996 


2062 


2O 


4o 


9 .45 7 584 


7 654 


7725 


779 5 


7 865 


7936 


19 


4o 


o. 482128 


2194 


2261 


232 7 


23 9 3 


2459 


'9 


4i 


8006 


8o 7 6 


8146.8217 


8 2 8 7 


835 7 


18 


4i 


2525 


2591 


265 7 


2 7 23 


2 7 8 9 


2855 


18 


42 


8427 


84 9 7 


856 7 


8638 


8708 


8778 


17 


42 


2921 


2987 


3o53 


3lI9 


3i85 


325i 


i 7 


43 


8848 


8918 


8988 


9 o58 9 i28 


9 i 9 8 


16 


43 


33i6 


3382 


3448 


35i4358o 


3646 


16 


44 


9 268 


9338 


9 4o8 




9 6i8 


i5 


44 


3 7 I2 


3 77 8 


3843 


3 9 o 9 3 97 5 


4o4i 


i5 


45 


9 688 


97 58 


9828:9898 9968 


..38 


i4 


45 


4io 7 


4172 


4238 


43o4|43 7 o 


4435 


i4 


46 


9 . 46oio8 


oi 7 8 


0248 


o3i 7 


o38 7 


o45 7 


i3 


46 


45oi 


456 7 


4632 


46 9 8 


4 7 64 


4829 


i3 


4 7 


0527 


o5 97 


o66 7 


o 7 36 0806 


0876 


12 


47 


48 9 5 


4961 


0026 


5092 


5i58 


5223 


12 


48 


o 9 46 


ioi5 


io85 


n55 1224 


I2 9 4 


II 


48 


528 9 


5354 


5420 


5485 


555i 


56i 7 


II 


49 


1 364 


i433 


i5o3 


i5 7 3!642 


1712 


IO 


49 


5682 


5 7 48 


58i3 


58 79 


5 9 44 


6009 


IO 


5o 


9.461782 


1861 


1921 


19902060 


2I2 9 


9 


5o 


9 .486o 7 5 


6i4o 


6206 


62 7 1 


633 7 


6402 


9 


Si 


2199 


2268 


2338 


240712477 


2546 


8 


5i 


646 7 


6533 


65 9 8 


6664 


6-729 


6 79 4 


8 


52 


2616 


2685 


2 7 55 


98243894 


2 9 63 


7 


52 


6860 


6925 


6990 


7 o55 


7 I2I 


7186 


7 


53 


3o32 


3l02 


3i 7 i 


324o33io 


33 7 9 


6 


53 


7 25l 


73i6 


7382 


7 44 7 


7 5l2 


7 5 77 


6 


54 


3448 


35i8 


358 7 


3656 


3 72 5 


3 79 5 


5 


54 


7 643 


7708 


7773 


7 838 


79 3 


79 68 


5 


55 


3864 


3 9 33 


4002 


4072 


4i4i 


4210 


4 


55 


8o34 


8099 


8i64 


8229 


8294 


835 9 


4 


56 


4279 


4348 


44i 7 


4486 


4556 


4625 


3 


56 


8424 


848 9 


8554 


8619 


8684 


8749 


3 


57 


46 9 4 


4 7 63 


4832 


4 9 oi 


49-70 


5o3 9 


2 


5 7 


88i4 


8879 


8 9 44 


9009 


9o 7 4 


9 i3 9 


2 


58 


5io8 


5i 77 


5 a 46 


53i5 


5384 


5453 


I 


58 


9 2o4 


9269 


9 334 


9 3 99 


9 464 


9 5 2 8 


I 


5 9 


5522 


55 9 i 


566o 


5729 5798 


5866 


O 


5 9 


9 5 9 3 


9 658 


9723 


97 88 


9 853 


9918 


O 




60" 


50" 


40" 


30" 20'' 


10" 


c , 




60" 


50" 


40" 


30" 


20" 


10" 


J 




Co-sine of 73 


Degrees. 


S 




Co-sine of 72 Degrees. 


1 


5 1" 2" 3" 4" 


5" 6" 7" 8" 9" 


p p ,51" 2" 3" 4" 5" 6" 7" 8" 9" 


' art } 7 14 21 28 


36 43 50 57 64 


'{ 7 13 20 27 33 40 47 53 60 



LOGARITHMIC TANGENTS. 



41 



1 


Tangent of 1 6 Degrees. 




d 


Tangent of 17 Degrees. 




s 


0" 10" 


20" 


30" 


40" 


50" 




* 


0" 


10" 


20" 


30" | 40" 


50"' 




H 



9 .45 7 4 9 6J 7 5 7 6 


7 655 


77 35 


7 8i4 


7 8 9 4 


5 9 





9 .48533 9 


54i4 


54 9 o 


5565|564o 


5 7 i5 


5 9 


i 


797 3 


8o5 2 


8i3 2 


8211 


82 9 o 


83 7 o 


58 


I 


57 9 i 


5866 


5 9 4i 


6016 


6092 


6i6 7 


58 


2 


844 9 


8528 


8608 


868 7 


8 7 66 


8846 


57 


2 


6242 


63i 7 


63 9 2 


646 7 


6543 


6618 


5 7 


C 


8 9 25 


900^ 


9 o83 


9 i63 


9 242 


9321 


56 


G 


66 9 3 


6 7 68 


6843 


6 9 i8 


6993 


7 o68 


56 


4 


9 4oo 


9479 


9 558 


9 638 


9717 


9796 


55 


4 


7 i43 


7 2l8 


7 2 9 3 


7 368 


7 443 


7 5i8 


55 


r 


9 8 7 5 


9954 


..33 


. I 12 




.2 7 


54 


c 


7 5 9 3 


-7668 


7743 


7 8i8 


7 8 9 3 


7968 


54 


6 


9.460349 


0428 


o5o 7 


o586 


o665 


o 7 44 


53 


6 


8o43 


8118 


8i 9 3 


8268 


8343 


84i8 


53 


7 


0823 


0902 


o 9 8i 


1060 


n3 9 


1218 


52 


7 


84 9 2 


856 7 


8642 


8717 


8792 


8866 


52 


8 


I2 97 


i3 7 6 


i454 


i533 


1612 


1691 


5i 


8 


8 9 4i 


9 oi6 


9 o 9 i 


9 i66 


9240 


9 3i5 


5j 


9 


I 77 o 


1849 


1927 


2006 


2o85 


2 1 64 


5o 


9 


9 3 9 o 


9 465 


9 53 9 


9 6i4 


9689 


97 63 


5o 


10 


9.462242 


2321 


2400 


2 4 7 8 


255 7 


2636 


/ 


10 


9 .48 9 838 


99 i3 


99 8 7 


..62 


.i3 7 


.211 


4 9 


ii 


2 7 l5 


2 ?9 3 


28 7 2 


2 9 5o 


3o2 9 


3io8 




ii 


9 .4 9 Q286 


o36o 


o435 


o5io 


o584 


o65 9 


48 


12 


3i86 


3 2 65 


3343 


3422 


35oi 


35 79 


47 


12 


o 7 33 


0808 


0882 


o 9 5 7 


io3i 


1 1 06 


47 


i3 


3658 


3 7 36 


38i5 


38 9 3 


3 97 2 


4o5o 


46 


i3 


1180 


1255 


i32 9 


i4o4 


i4 7 8 


i55 2 


46 


i4 


4128 


4207 


4285 


4364 


4442 


452i 


45 


i4 


l62 7 


I 7 OI 


i 77 6 


i85o 


1924 


1999 


45 


i5 


45 99 


46 77 


4 7 56 


4834 


4 9 I2 


4991 


44 


i5 


20 7 3 


2l4 7 


2222 


22 9 6 


23 7 


2445 


44 


16 


5o6 9 


5i47 


5226 


53o4 


538 2 


546o 


43 


16 


25l 9 


25 9 3 


2668 


2742 


2816 


2890 


43 


i 7 


553 9 


56i 7 


56 9 5 


5 77 3 


585i 


5 9 3o 


42 


17 


2 9 65 


3o3 9 


3ll3 


3i8 7 


3261 


3336 


42 


18 


6008 


6086 


6:64 


6242 


6320 


63 9 8 


4i 


18 


34io 


3484 


3558 


363 2 


3 7 o6 


3780 


4i 


'9 


64 77 


6555 


6633 


6 7 n 


6 7 8 9 


686 7 


4o 


i 9 


3854 


3 9 2 9 


4oo3 


4o 77 


4i5i 


4225 


4o 


20 


9 .466 9 45 


7023 


7 IOI 


7179 


72 5 7 


7 335 


3 9 


20 


9 .4 9 42 99 


43 7 3 


444 7 


452i 


45 9 5 


4669 


3 9 


21 


7 4i3 


7491 


7 56 9 


7647 


77 24 


7802 


38 


21 


4 7 43 


48i 7 


48 9 i 


4 9 65 


5o3 9 


5n3 


38 


22 


7 88o 


79 58 


8o36 


8u4 


8l 9 2 


8269 


37 


22 


5:86 


5260 


5334 


54o8 


5482 


5556 


3 7 


23 


834 7 


8425 


85o3 


858i 


8658 


8 7 36 


36 


23 


563o 


5 7 o4 


5 777 


585i 


5 9 25 


5 999 


36 


24 


88i4 


8892 


8 9 6 9 


9047 


9 I25 


9202 


35 


24 


6o 7 3 


6146 


6220 


62 9 4 


6368 


644 1 


35 


25 


9 28o 


9358 


9 435 


9 5i3 


9 5 9 i 


9668 


34 


25 


65i5 


658 9 


6663 


6 7 36 


6810 


6884 


34 


26 


9746 


9823 


99 oi 


9979 


..56 


.i34 


o3 


26 


6 9 5 7 


7 o3i 


7 io5 


7 i 7 8 


7 252 


7 326 


33. 


27 


9.470211 


0289 


o366 


o444 


0521 


o5 99 


32 


2 7 


7 3 99 


7 4 7 3 


7 546 


7 620 


7 6 9 3 


7767 


32 


28 


0676 


o 7 54 


o83i 


o 9 o 9 


o 9 86 


io63 


3i 


28 


7 84i 


79 i4 


79 88 


8061 


8i35 


8208 


3i 


29 


n4i 


1218 


I2 9 5 


i3 7 3 


i45o 


i5 2 8 


3o 


2 9 


8282 


8355 


842 9 


85o2 


85 7 5 


8649 


3o 


3o 


9.471605 


1682 


i 7 5 9 


i83 7 


1914 


1991 


2 9 


3o 


9 .4 9 8 7 22 


8 79 6 


886 9 


8 9 43 


9 oi6 


9089 


2 9 


3i 


2069 


2i46 


2223 


2300 


23 77 


2455 


28 


3i 


9 i63 


9 236 


9 3o 9 


9 383 


9 456 


9529 


28 


32 


2532 


2609 


2686 


2 7 63 


2840 


2918 


27 


32 


9 6o3 


9676 


9749 


9 822 


9896 


99 6 9 


2 7 


33 


2 99 5 


3072 


3i4 9 


3226 


33o3 


338o 


26 


33 


9 .5ooo42 


ou5 


oi8 9 


0262 


o335 


0408 


26 


34 


3457 


3534 


36n 


3688 


3 7 65 


3842 


25 


34 


o48i 


o555 


0628 


O 7 OI 


o 77 4 


o84 7 


25 


35 


. 3919 


3 99 6 


4o 7 3 


4i5o 


422 7 


43o4 


24 


35 


O 9 2O 


o 99 3 


1066 


u4o 


I2l3 


1286 


24 


36 


438i 


4458 


4535 


46 I2 


4688 


4 7 65 


23 


36 


i35 9 


1432 


i5o5 


i5 7 8 


1661 


I 7 24 


23 


37 


4842 


4 9 i 9 


4 99 6 


5o 7 3 


5i4 9 


5226 


22 


37 


i 797 


1870 


i 9 43 


2016 


2089 


2162 


22 


38 


53o3 


538o 


5456 


5533 


56io 


568 7 


21 


38 


2235 


23o8 


2 38i 


2453 


2526 


2 5 99 


21 


3 9 


5 7 63 


584o 


5 9 i 7 


5 99 3 


6o 7 o 


6i4 7 


20 


3 9 


26-72 


2 7 45 


2818 


28 9 I 


2964 


3o36 


2O 


4o 


9.476223 


63oo 


63 77 


6453 


653o 


6606 


I 9 


4o 


9 .5o3io 9 


3i82 


3255 


3328 


34oo 


34 7 3 


I 9 


4i 


6683 


6 7 5 9 


68366913 


6 9 8 9 


7 o66 


18 


4i 


3546 


36i 9 


36 9 i 


3 7 64 


383 7 


3910 


18 


42 


7142 


72i 9 


7 2 9 5 


7372 


7 448 


7 524 


17 


42 


3 9 82 


4o55 


4128 


4200 


42 7 3 


4346 


17 


43 


7601 


7677 


77 54 


7 83o 


7 go6 


79 83 


16 


43 


44i8 


449i 


4563 


4636 


4 7 Q9 


4 7 8i 


16 


44 


8059 


8i36 


8212 


8288 


8365 


844 1 


i5 


44 


4854 


4926 


4999 


5o 7 2 


5i44 


52I 7 


i5 


45 


85i 7 


85 9 3 


86 7 o 


8 7 46 


8822 


88 99 


i4 


45 


6289 


5362 


5434 


55o 7 


55 79 


5652 


i4 


46 


8 97 5 


9 o5i 


9 I2 7 


9 2o3 


9280 


9 356 


i3 


46 


5 7 24 


5796 


586 9 


5 9 4i 


6oi4 


6086 


i3 . 


47 


9432 


9 5o8 


9 584 


9 66o 


97 3 7 


9 8i3 


12 


47 


6i5 9 


623i 


63o3 


63 7 6 


6448 


652O 


12 


48 


9889 


99 65 


. .41 


.117 


.i 9 3 


.26 9 


II 


48 


65 9 3 


6665 


6 7 3 7 


6810 


6882 


6 9 54 


II 


49 


9.48o345 


0421 


o4 97 


o5 7 3 


0649 


o 7 25 


IO 


49 


7 02 7 


7099 


7171 


7 243 


7 3i6 


7 388 


IO 


5o 


9.480801 


0877 


o 9 53 


I02 9 


no5 


1181 


9 


5o 


9 .5o 7 46o 


7 53 2 


7 6o5 


7677 


7749 


-7821 


9 


5i 


1257 


i333 


i4o8 


1 484 


i56o 


i636 


8 


5i 


7 8 9 3 


79 65 


8o38 


8110 


8182 


8254 


8 


52 


1712 


1788 


i863 


i 9 3 9 


20l5 


20 9 I 


7 


52 


83 2 6 


83 9 8 


84 7 o 


8542 


86i4 


868 7 


7 


53 


2167 


2242 


23i8 


23 9 4 


24 7 


2545 


6 


53 


8 7 5 9 


883i 


8 9 o3 


8 97 5 


9047 


9119 


6 


54 


2621 


26 97 


277 2 


2848 


2924 


2999 


5 


54 


9191 


9 263 


9 335 


9407 


9479 


9 55i 


5 


55 


3o 7 5 


3i5i 


3226 


33o2 


33 77 


3453 


4 


55 


9 622 


9 6 9 4 


97 66 


9 838 


9910 


9982 


4 


56 


352 9 


36o4 


368o 


3 7 55 


383i 


3 9 o6 


3 


56 


;.5ioo54 


0126 


oi 9 8 


0269 


o34i 


o4i3 


3 


5 7 


3982 


4o5 7 


4i33 


4208 


4284 


435 9 


2 


57 


o485 


o55 7 


o62 9 


o 7 oo 


o 77 2 


o844 


2 


58 


4435 


45io 


4585 


466i 


4 7 36 


4812 


I 


58 


o 9 i6 


o 9 8 7 


io5 9 


n3i 


1203 


I2 7 4 


I 


5 9 


488 7 


4 9 6 2 


5o38 


5n3 


5i88 


5264 


O 


5 9 


1 346 


i4i8 


i48 9 


i56i 


i633 


i 7 o4 


O 




60" 


50" 40" 


30" 


20" 


10" 


a' 




tO" 


50" 


40" 


30" 


20" 


10" 


. 




Co-tangent of 73 Degrees. 


ii 




Co -tangent of 72 Degrees. 







.( \" 2" 3" 4" 5" 6" 7" 8" 9" 


P. Part J g 15 23 31 39 46 54 62 7Q 


irl } 7 15 22 29 37 44 51 59 66 



LOGARITHMIC SINES. 



.9 


Sine of 18 Degrees. 




.5 


Sine of 19 Degrees. 




i 


0" 


10" 


20" 


30" 40" 


50" 




a 


0" 


10" 


20" 


30" 


40" 


50" 




o 


9.489982 


..4 7 


. 112 


.177 .24l 


.3o6 


69 


o 


9.612642 


2703 


2 7 64 


2825 


2886 


2948 


5 9 


I 


9.490371 


o436 


o5ooo565 o63o 


o6 9 5 


58 


I 


3009 


3070 


3i3i 


3192 


3253 


33i4 


58 


2 


o 7 5 9 


0824 


o88 9 o 9 53 1018 


1082 


5 7 


2 


33 7 5 


3436 


3497 


3558 


36i 9 


368o 


57 


3 




1212 


12-76 i34i 


i4o5 


1470 


56 


3 


3 7 4i 


38o2 


3863 


3 9 24 


3 9 85 


4o46 


56 


4 


i535 


i5 99 


i664 


I 7 28 i 79 3 


1867 


55 


4 


4io 7 


4i68 


4229 


4289 


435o 


44n 


55 


5 


1922 


i 9 86 


2061 


2Il5 2I 79 


2244 


54 


5 


4472 


4533 


45 9 4 


4655 


4716 


4 77 6 


54 


6 


23o8 


23 7 3 


243 7 


2502 2566 


263o 


53 


6 


483 7 


4898 


4969 


6019 


5o8o 


5i4i 


53 


7 


2696 


2 7 5 9 2823 


28882962 


3oi6 


52 


7 


6202 


6262 


53 2 3 


5384 


5445 


55o5 


52 


8 


3o8i 


3i45 


320 9 


3273 3338 


3402 


61 


8 


5566 


6627 


568 7 


5 7 48 


6809 


6869 


5i 


9 


3466 




35 9 5 


365 9 3 72 3 


3 7 8 7 


5o 


^9 


6930 


6991 


6061 


61 12 


6172 


6233 


5o 


IO 


9.493861 


3 9 i5 


3 9 8o4o444io8 


4172 


49 


10 


9 616294 


6354 


64i5 


6476 


6536 


65 9 6 


49 


ii 

12 


4236 
4621 


43oo 

4685 


4364 4428 4492 
4 7 4 9 48i3 48 77 


4556 
4 9 4i 


48 
47 


ii 

12 


665 7 
7020 


6717 
7080 


6778 


6838 
7201 


6899 
7262 


6 9 5 9 

7 322 


48 
47 


i3 


5oo5 


5o6 9 


5i33 


5r 9 6 6260 


5324 


46 


i3 


7 382 


7443 


7603 


7564 


7624 


7 684 


46 


i4 


5388 


5452 


55i6 


558o5644 


6708 


45 


i4 


77 45 


7806 


7866 


7926 


7986 


8o46 


45 


i5 


5 77 2 


5835 


58 99 


5 9 63i6o27 


6o 9 i 


44 


16 


8107 


8167 


8227 


8287 


8348 


84o8 


44 


JL 6 


6i54 


6218 


6282 6346 


64io 


6473 


43 


16 


8468 


8628 


8689 


8649 


8709 


8769 


43 


17 


653 7 


6601 


6664 


6728 


6792 


6856 


42 


17 


8829 


8890 


8960 


9010 


9070 


9i3o 


42 


18 


6919 


6 9 83 


7 o4 7 


7110 


7174 


72 3 7 


4i 


18 


9190 


9260 


93n 


937 1 


943 1 


9491 


4i 


20 


7 3oi 
9.497682 


7 365 
7746 


7428 
7 8io 


74 9 2 
7 8 7 3 


76667619 
7937 8000 


4o 
39 


'9 
20 


9661 
9.61991 i 


9611 
9971 


9671 


97 3i 
..91 


9791 
. i5i 


9861 

.211 


4o 
39 


21 


8o64 


812-781008264 


83i 7 


838i 


38 


21 


9.620271 


o33i 


0391 


o45i 


o5n 


0671 


38 


22 


8444 


85o885 7 i 


8634 


8698 


8761 


37 


22 


o63i 


0691 


0760 


0810 


0870 


0930 


37 


23 


8826 


8888 8 9 5i 


9016 


9078 


9 i4i 


36 


23 


0990 


1060 


IIIO 


1169 


1229 


1289 


36 


24 


9204 


9 268 9 33i 


9394 


9 458 


9621 


35 


24 


1 349 


1 409 


i468 


1628 


1688 


1 648 


35 


25 


9 584 


9 64 7 9 7 io 


9774 


9 83 7 


9900 


34 


25 


1707 


1767 


1827 


i88 7 


1946 


2006 


34 


26 


99 63 


..26 


..90 


.i53 


.216 


.279 


33 


26 


2066 


2126 


2186 


2245 


23o4 


2364 


33 


2 7 


9 . 5oo342 


o4o5 o468 o53i 


o5 9 4 


0668 


32 


27 


2424 


2483 


2543 


2602 


2662 


2722 


32 


28 


0721 


0784 0847 0910 


o 97 3 


io36 


3i 


28 


2781 


2841 


2900 


2960 


3019 


3o 79 


3i 


2 9 


io 99 


1162 


1226 


1288 


i35i 


i4i4 


3o 


2 9 


3i38 


3i 9 8 


3267 


33i 7 


3376 


3436 


3o 


3o 


9 . 601476 


1639 


1602 


i665 


i -728 


1791 


2 9 


3o 


9.623496 


3555 


36i4 


36 7 4 


3 7 33 


3 79 2 


29 


3i 


1864 


1917 


i 9 8o 


2042 


2106 


2168 


28 


3i 


3852 


3911 


3 97 i 


4o3o 


4o8 9 


4i49 


28 


32 


223l 


22 9 4 


23662419 


2482 


2545 


27 


32 


4208 


4267 


432 7 


4386 


4445 


45o5 


27 


33 


2607 


2670 


2733 2796 


2868 


2921 


26 


33 


4564 


4623 


4683 


4 7 42 


48oi 


486o 


26 


34 


2 9 84 


3o46 


3io 9 3i 7 2 


3234 


3297 


26 


34 


4920 


4979 


5o38 


5o 97 


5i56 


6216 


25 


35 


. 336o 


3422 


3485,3548 


36io 


36 7 3 


24 


35 


6276 


5334 


53 9 3 


5452 


6612 


55 7 , 


24 


36 


3 7 35 


3 79 8 386o 


3 9 23 


3 9 85 


4o48 


23 


36 


563o 


6689 


5 7 48 


58o 7 


5866 


6926 


23 


3 7 


4no 


4i 7 342354298 


436o 


4423 


22 


37 


5 9 84 


6o44 


6io3 


6162 


6221 


6280 


22 


38 


4485 


454846io467S 


4 7 35 


4797 


21 


38 


633 9 


6398 


645 7 


65i6 


65 7 5 


6634 


21 


39 


486o 


4922 4 9 85 


6047 


5io 9 


6172 


2O 


39 


66 9 3 


6762 


6811 


68 7 o 


6928 


6 9 8 7 


2O 


4o 


9 . 606234 


52 9 6 


535 9 


5421 


5483 


5545 


I 9 


4o 


9 . 627046 


7106 


7164 


7 223 


7 28a 




I 9 


4i 


6608 


66706732 


5 79 4 


585 7 


6919 


18 


4i 


74oo 


7 45 9 


7617 


7676 


7 635 


?6 9 4 


18 


42 


5 9 8i 


6o43 6106 


6168 


623o 


6292 


17 


42 


77 53 


7811 


7870 


7929 


79 88 


8o4 7 


17 


43 


6354 


64166478 


654i 


66o3 


6665 


16 


43 


8106 


8i64 


8223 


8282 


834o 


83 99 


16 


44 


6727 


678 9 6861 


6 9 i3 


6 97 5 


7 o3 7 


i5 


44 


8458 


8616 


8676 


8634 


8692 


8761 


i5 


45 


799 


7161 


7 223 


7286 


7 34 7 


7409 


i4 


45 


8810 


8868 


8927 


8986 


9044 


9 io3 


i4 


46 


7471 


7 533 7 5 9 5 


7667 


77i9 


77 8i 


i3 


46 


9 i6i 


9220 


9279 


9337 


9 3 9 6 


9454 


13 


47 


7843 


79 o5; 79 6 7 


8028 


8o 9 o 


8162 


12 


47 


9 5i3 


9671 


963o 


9688 


9747 


9 8o5 


12 


48 


8214 


82 7 68338 


84oo 


846i 


85 2 3 


II 


48 


9864 


9922 


9981 


..3 9 


..98 


.i56 


II 


49 


8585 


864 7j 8 7 o 9 


8770 


8832 


88 9 4 


IO 


49 


9.53o2i5 


0273 


o33i 


0390 


o448 


0607 


IO 


5o 


9 .5o8 9 56 


9 OI 7 


979 


9141 


9 2O2 


9264 


9 


5o 


9.53o565 


0623 


0682 


0740 


o 79 8 


0867 


9 


5i 


9 326 


^38 7 


9 44 9 


9611 


9 5 7 2 9 634 


8 


5i 


0916 


0973 


1032 


1090 


n48 


1207 


8 


62 


9 6 9 6 


97 5 7 


9 8i 9 


9880 


99 42 


...4 


7 


52 


1263 


i323 


i38i 


i44o 


1498 


i556 


7 


53 


9 .5ioo65 


OI2 7 


0188 


0260 


o3n 


o3 7 3 


6 


53 


i6i4 


i6 7 3 


1731 


1789 


i84 7 


I 9 o5 


6 


54 


o434 


o4 9 6 


o55 7 


0619 


0680 


7 42 


5 


54 


1963 


2022 


2080 


2i38 


2196 


2264 


5 


55 


o8o3 


0866 


9 26 


0987 


io4 9 


IIIO 


4 


55 


23l2 


2370 


2428 


2487 


2545 


26o3 


4 


56 


1172 


1233 


I2 9 4 


i356 


i4i 7 


i4 7 8 


3 


56 


- 266l 


2719 


2777 


2835 


2893 


2961 


3 


57 


i54o 


1601 


1662 


1724 


1786 


1 846 


2 


57 


3O09 


3o6 7 


3i25 


3i83 


3 2 4i 


3299 


2 


58 


I 9 o 7 


i 9 6 9 


2030 


2091 


2162 


22l4 


I 


58 


335 7 


34i5 


3473 


353i 


358 9 


3647 


I 


69 


2276 


2336 


2 3 97 


2458 


2620 


258l 


O 


69 


3704 


3 7 6 2 


3820 


3878 


3 9 36 


3 99 4 


O 




60" 


50" 


40" 


30" 


20" 


10" 


. 




60" 


50" 


40" 


30" 


20" 


10" 






Co-sine of 71 Degrees. 


a 




Co-sine of 70 Degrees. 


.5 

Si 


f -til nil q/ 

P Part) " 


' 4 


5'' 6" 7" 8" 9" 


P Prt5 !" 2 " 3 " 4 " 5 " 6 " 7 " 8" 9" 


m l 6 13 19 25 


31 38 44 50 57 


irt } 6 12 18 24 30 36 42 48 54 



LOGARITHM j TANGENTS. 



43 



A 


Tangent of 18 Degrees. 




a 


Tangent of 19 Degrees. 


- 


8 


o v 


10" 


20" 


30" 


40" 


50" 




3 


0" 


10" 


20" 


30" 


40" 


50" 




o 


9.5n 77 6 


1 848 


1919 


1991 


2o63 


2i34 


5g 


o 


9.5369-72 


7040 


7 io 9 


7177 


7245i 7 3i4 


5 9 


i 


2206 


22 77 


2349 


242O 


2492 


2564 


58 


I 


7 382 


745o 


7 5i 9 


7 58 7 


76557724 


58 


2 


2635 


2 7 7 


2 77 8 


2 85o 


2921 


a 99 3 


57 


2 


7792 


7860 


7929 


7997 


3o65 


8i33 


$7 


3 


3o64 


3i36 


320 7 


3278 


335o 


3421 


56 


3 


8202 


8270 


8338 


84o6 


B4 7 5 


8543 56 


4 


3493 


3564 


3636 


3707 


3 77 8 


385o 


55 


4 


8611 


8679 


8 7 4 7 


8816 


884 


8 9 5255 


5 


3921 


3 99 2 


4o64 


4i35 


4206 


42 7 8 


54 


5 


9020 


9088 


9 i56 


9,224 


9293 


936i 


4 


6 


4349 


4420 


4492 


4563 


4634 


4 7 o5 


53 


6 


9429 


9497 


9 565 


9633 


97 oi 


9769 


3 


7 


4777 


4848 


4919 


4990 


5o62 


5i33 


52 


7 


9 83 7 


9905 


9973 


. .4i 


io 9 


.177 


2 


8 




52 7 5 


5346 




548 9 


556o 


5i 


8 


9.540245 


o3i3 


o38i 


0449 


o5i 7 


o585 


I 


9 


563i 


5 7 O2 


5 77 3 


5844 


5 9 i5 


5 9 86 


5o 


9 


o653 


0721 


o 7 8 9 


o85 7 


0025 


o 99 3 


O 


10 


9.5i6o5 7 


6129 


6200 


6271 


6342 


64i3 


49 


10 


9.541061 


1128 


1196 


1264 


332 


i4oo 


9 


ii 


6484 


6555 


6626 


6697 


6768 


683 9 


48 


ii 


i468 


i536 


i6o3 


1671 


7 3 9 


180-7 


.8 


12 


6910 


6981 


7 o52 


7123 


7 i 9 3 


7264 


47 


12 


i8 7 5 


1943 


2010 


2078 


2146 


22l4 


47 


i3 


7 335 


7 4o6 


7477 


7548 


7619 


7 6 9 o 


46 


i3 


2281 


2349 


24l 7 


2485 


2552 


2620 


46 


i4 


77 6i 


7 83i 


-7902 


797 3 


8044 


8xi5 


45 


i4 


2688 


2 7 55 


2823 


2891 


2 9 58 


3026 


45 


i5 


8186 


8256 


8327 


83 9 8 


846 9 


853 9 


44 


i5 


3o 9 4 


3i6i 


3229 


3297 


3364 


3432 


44 


16 


8610 


8681 


8 7 5 2 


8822 


88 9 3 


8 9 64 


43 


16 


3499 


356 7 


3635 


3702 


3 77 o 


383 7 


43 


i 7 


9034 


9io5 


9176 


9246 


9317 


9 388 


42 


X 7 


3 9 o5 


3972 


4o4o 


4107 


4i 7 5 


4242 


.2 


18 


9 458 


9 52 9 


9600 


9670 


97 4i 


9811 


4i 


18 


43io 


4377 


4445 


45 I 2 


458o 


4647 


[I 


19 


9882 


99 53 


..23 


..94 


.164 


.235 


4o 


19 


4 7 i5 


4782 


485o 


4917 


4985 


5o52 


LO 


20 


9.52o3o5 


o3 7 6 


0446 




o58 7 


o658 


3 9 


20 


9.545119 


5187 


5254 


5322 


538 9 


5456 


3 9 


21 


7 28 


799 


0869 


o 9 3 9 


IOIO 


1080 


38 


21 


5524 


55gi 


5658 


5726 


5 79 3 


586o 


38 


22 


n5i 


1221 


1292 


i362 


i432 


i5o3 


37 


22 


5928 


5 99 5 


6062 


6129 


6i 97 


6264 


3 7 


23 


i5 7 3 


1 643 


1714 


1784 


i854 


! 9 25 


36 


23 


633i 


63 9 8 


6466 


6533 


6600 


666 7 


36 


24 


1995 


2o65 


2i36 


2206 


2276 


2346 


35 


24 


6 7 35 


6802 


6869 


6 9 36 


7 oo3 


7 o 7 i 


35. 


25 


2417 


248 7 


2 55 7 


2627 


2698 


2-768 


34 


25 


7 i38 


7205 


7 2 7 2 


7339 


7 4o6 


7 4 7 3 


34 


26 


2838 


2908 


2978 


3o48 


3119 


3i8 9 


33 


26 


7 54o 


7608 


7 6 7 5 


7742 


7 8o 9 


7 8 7 6 


33 


2 7 


3259 


332 9 


33 99 


346 9 


353 9 


36o 9 


32 


2 7 


79 43 


8010 


8o 77 


8i44 


8211 


82 7 8 


32 


28 


368o 


3 7 5o 


3820 


38 9 o 


3 9 6o 


4o3o 


3i 


28 


8345 


8412 


84 79 


8546 


86i3 


8680 


3i 


2 9 


4ioo 


4i 7 o 


4240 


43io 


438o 


445o 


3o 


2 9 


8 7 47 


88i4 


8881 


8 9 48 


9 oi5 


9082 


3o 


3o 


9.52452O 


45 9 o 


466o 


473o 


48oo 


48 7 o 


2 9 


3o 


9 .54 9 i4 9 


9216 


9283 


9 34 9 


9 4i6 


9 483 


2 9 


3i 


4g4o 


5009 


5o 79 


5i4 9 


52I 9 


528 9 


28 


3i 


9 55o 


9617 


9 684 


975i 


9 8i 7 


9 884 


28 


32 


535 9 


5429 


54 99 


5568 


5638 


5 7 o8 


2 7 


32 


99 5i 


..18 


..85 


.i5 2 


.218 


.285 


27 


33 


5 77 8 


5848 


5 9 i8 


5 9 8 7 


6057 


612-7 


26 


33 


9 .55o352 


0419 


o485 


o55 2 


o6i 9 


0686 


26 


34 


6i 97 


6266 


6336 


64o6 


6476 


6545 


25 


34 


0752 


0819 


0886 


0952 


ioi 9 


1086 


25 


35 


66i5 


6685 


6 7 54 


6824 


68 9 4 


6 9 63 


24 


35 


n53 


1219 


1286 


i353 


1419 


i486 


24 


36 


7 o33 


7 io3 


7 I 7 2 


7242 


7 3l2 


7 38i 


23 


36 


i552 


1619 


1686 


1752 


1819 


i885 


23 


37 


7 45 1 


7 520 


7590 


7660 


7729 


7799 


22 


37 


I 9 52 


20I 9 


2o85 


2l52 


2218 


2285 


22 


38 


7 868 


7938 


8oo 7 


8077 


8i46 


8216 


21 


38 


2 35i 


24l8 


2484 


2 55i 


26l 7 


2684 


21 


3 9 


8285 


8355 


8424 


84 9 4 


8563 


8633 


20 


3 9 


2750 


2817 


2883 


2950 


3oi6 


3o8-3 


2O 


4o 


9.528-702 


8 77 2 


884i 


8910 


8 9 8o 


9049 


19 


4o 


9 .553i4 9 


3 2 i6 


3282 


3348 


34i5 


348 1 


I 9 


4i 


9119 


9188 


92 5 7 


9327 


9 3 9 6 


9 465 


18 


4i 


3548 


36i4 


368o 


3 7 4 7 


38i3 


388o 


18 


42 


9 535 


9 6o4 


9 6 7 3 


9743 


9 8l2 


9881 


i 7 


42 


3 9 46 


4012 


4o 7 9 


4i45 


4211 


42 7 8 


17 


43 


99 5i 


. .20 


..89 


.158 


.228 


2 97 


16 


43 


4344 


44io 


44 7 6 


4543 


4609 


46 7 5 


16 


44 


9 .53o366 


o435 


o5o4 


o5 7 4 


o643 


O 7 I2 


i5 


44 


4741 


48o8 


48 7 4 


4g4o 


5oo6 


5o 7 3 


i5 


45 


P7 8i 


o85o 


O 9 20 


0989 


io58 


1127 


i4 


45 


5i3 9 


52o5 


52 7 I 


533 7 


54o4 


54 7 o 


i4 


46 


1196 


1265 


i334 


i4o3 


i473 


I 542 


i3 


46 


5536 


56o2 


5668 


5 7 34 


58oo 


586 7 


i3 


4? 


161 1 


1680 


I 7 4 9 


1818 


i88 7 


i 9 56 


12 


47 


5 9 33 


5 999 


6o65 


6i3i 


6i 97 


6 2 63 


12 


48 


2025 


2O 9 4 


2i63 


2232 


2301 


2370 


II 


48 


6329 


63 9 5 


646 1 


652 7 


65 9 3 


6659 


II 


49 


2439 


25o8 


25 77 


2646 


2 7 l5 


2784 


10 


49 


6725 


67 9 i 


685 7 


692^ 


6989 


7 o55 


10 


5o 


9.532853 


2 9 2I 


2 99 


3o5 9 


3i28 


3i 97 


9 


5o 


9.557121 


7187 


7 253 


7 3i 9 


7 385 


7 45i 


9 


5i 


3266 


3335 


34o4 


34 7 2 


354i 


36io 


8 


5i 


7 5i 7 


7 583 


7649 




77 8i 


7 84 7 


8 


52 


36 79 


3 7 48 


38i6 


3885 


3 9 54 


4023 


7 


52 


7913 


797 8 


8o44 


8110 


8176 


8242 


7 


53 


4092 


4i6o 


422 9 


4298 


436 7 


4435 


6 


53 


83o8 


83 7 3 


843 9 


85o5 


85 7 i 


863 7 


6 


54 


45o4 


45 7 3 


464i 


4 7 io 


4779 


4847 


5 


54 


8 7 o3 


8 7 68 


8834 


8900 


8966 


9o3] 


5 


55 


4916 


4 9 85 


5o53 


5l22 


5i 9 i 


5 2 5 9 


4 


55 


997 


Ql62 


9 22 9 


9 2 9^ 


9 36o 


9426 


4 


56 


53 2 8 


53 9 6 


5465 


5534 


5602 


5671 


3 


56 


9 4 9 i 


9 55 7 


9 623 


9 688 


97 54 


9820 


3 


5 7 


5 7 3 9 


58o8 


58 7 6 


5 9 45 


6oi3 


6082 


2 


$7 


9 885 


99 5i 


. .17 


..82 


.i48 


.214 


2 


58 


6i5o 


6219 


6287 


6356 


6424 


6493 


I 


58 


9 .56o27 9 


o345 


o4io 


o4 7 6 


o542 


o6o 7 


I 


5 9 


656i 


663o 


6698 


6767 


6835 


6903 


O 


5 9 


067^ 


o 7 38 


o8o4 


o86 9 


o 9 35 


IOOO 


O 




60" | 50" 40" 


30" 


20" 


10" 


a 




60" 


50" 


40" 


30" 


20" 


10" 


d 




Co-tangent of 7 1 Degrees. 


9 

s 




Co-tangent of 70 Degrees. 


1 


p Part $ 1" 2" 3" 4" 5" 6" 7" 8" 9" 
I 7 14 21 28 35 42 49 56 63 


P. Part J 7 13 2Q - 7 33 4Q 47 54 6Q 



44 



LOGARITHMIC SINES. 



c 


Sine of 20 Degrees. 




.3 


Sine of 21 Degrees. 




S 


0" 


10" 


20" 


30" 


40" 


50" 







0" 


10" 


20" 


30" 


40" 


50" 







9 .534o52 


4i 10 


4i6 7 


4225 


4283 


434i 


5 9 





9.554329 


4384 


443 9 


44 9 4 


454 9 


46o3 


5 9 


i 


43 99 


4456 


45i4 


45 7 2 


463o 


468 7 


58 


i 


4658 


4 7 i3 


4 7 68 


4822 


48 77 


4932 


58 


2 


4 7 45 


48o3 


486i 


4 9 i8 


4976 


5o34 


57 


2 


4987 


5o42 


5o 9 6 


5i5i 


52o6 


5260 


57 


3 


5o 9 2 


5i4g 


520 7 


5 2 65 


5322 


538o 


56 


3 


53i5 


53 7 o 


5425 


5479 


5534 


558 9 


56 


4 


5438 


54 9 5 


555356io 


5668 


5 72 6 


55 


4 


5643 


56 9 8 


5 7 53 


58o 7 


5862 


5916 


55 


5 


5 7 83 


584i 


58 9 8 


5 9 56 


6oi4 


6o 7 i 


54 


5 


5971 


6026 


6080 


6i35 


6i 9 o 


6244 


54 


6 


6:25 


6186 


6244 63oi 


6359 


64i6 


53 


6 


6299 


6353 


64o8 


6462 


65i 7 


65 7 i 


53 


7 


64 7 4 


653i 


658 9 6646 


6 7 o4 


6 7 6i 


52 


7 


6626 


6680 


6735 


6 7 8 9 


6844 


6898 


52 


8 


6818 


68 7 6 


6 9 33 6 99 i 


7 o48 


7 io5 


5i 


8 


6 9 53 


7 oo 7 


7062 


-7116 


7171 


7 225 


5i 


9 


7 i63 


7 220 


7 2 7 8 


7 335 


7 3 9 2 


7 45o 


5o 


9 


7280 


7 334 


7 388 7 443 


74 9 7 


7 552 


5o 


10 


9.53 7 5o 7 


7 564 


7 622 


7679 


7736 


7794 


49 


10 


9.557606 


7 66o 


77157769 


7 823 


7 8 7 8 


49 


ii 


7 85i 


7908 


7965 


8023 


8080 


8i3 7 


48 


ii 


7932 


79 86 


8o4i 


8o 9 5 


8i4 9 


8204 


48 


12 


8194 


8252 


83o 9 ! 8366 


8423 


848o 


47 


12 


8 2 58 


83i2 


8366 


8421 


84 7 5 


852 9 


47 


i3 


8538 


85 9 5 


865 2 


8 7 o 9 


8 7 66 


8823 


46 


i3 


8583 


8638 


8692 


8 7 46 


8800 


8855 


46 


i4 


8880 


8 9 38 


8 99 5 


9 o52 


9109 


9166 


45 


i4 


8909 


8 9 63 


9017 


9 o 7 i 


9 I25 


9180 


45 


i5 


9223 


9280 


9 33 7 


9 3 9 4 


945 1 


9 5o8 


44 


i5 


9234 


9 288 


9 342 


9396 


9 45o 


g5o4 


44 


16 


9 565 


9622 


9 6 799 736 


9793 


985o 


43 


16 


9 558 


9 6i3 


9667 


972i 


977 5 


9829 


43 


i 7 


997 


9964 


. .21 


. . 7 8 


.i35 


. 192 


42 


*7 


9883 


99 3 7 


999 l 


..45 


99 


.i53 


42 


18 


9.540249 


o3o6 


o363 0420 


o477 


o533 


4i 


18 


9.560207 


0261 


o3i5 


0369 


0423 


o4 77 


4i 


19 


oSgo 


o64 7 


0704 0761 


0818 


o8 7 5 


4o 


19 


o53i 


o585 


0639 


o6 9 3 


0747 


0801 


4o 


20 


9.540931 


0988 


io45 


IIO2 


nSg 


I2l5 


39 


20 


9 .56o855 


090^ 


0962 


1016 


10-70 


1124 


39 


21 


I2 7 2 


1329 


i386 


l442 


1 499 


i556 


38 


21 


1178 


1232 


1286 


i33g 


i3 9 3 


i44 7 


38 


22 


i6i3 


1669 


1726 


i 7 83 


1839 


1896 


37 


22 


i5oi 


i555 


1609 


1662 


I 7 i6 


I 77 o 


3 7 


23 


i 9 53 


2009 


2066 


2123 


2179 


2236 


36 


23 


1824 


i8 7 8 


I 9 3i 


1985 


2039 


2093 


36 


24 


2293 


2 34 9 


2406 2462 


2519 


2 5 7 6 


35 


24 


2l46 


22OO 


2254 


23o 7 


236i 


24i5 


35 


25 


2632 


2689 


2745 


2802 


2858 


2915 


34 


25 


2468 


2522 


2576 


2629 


2683 


2 7 3 7 


34 


26 


297! 


3028 


3o843i4i 


3i 97 


3 2 54 


33 


26 


2790 


2844 


2808 


2 9 5i 


3oo5 


3o58 


33 


27 


33io 


336 7 


3423 


348o 


3536 


3593 


32 


27 


3lI2 


3i66,32i 9 


32 7 3 


33 2 6 


338o 


32 


28 


3649 


3 7 o5 


3 7 62 38i8 


38 7 5 


3 9 3i 


3i 


28 


3433 


8487 


354i 


35 9 4 


3648 


3 7 oi 


3i 


29 


3987 


4o44 


4ioo4i56 


42i3 


4269 


3o 


29 


3 7 55 


38o8 


3862 


3 9 i5 


3 9 6 9 


4O22 


3o 


309.544325 


4382 


4438 44 9 4 


455o 


46o 7 


2 9 


3o 


9.564o 7 5 


4129 


4182 


4236 


4289 


4343 


2 9 


3i 


4663 


4719 


47 7 6483 2 


4888 


4944 


28 


3i 


43 9 6 


4449 


45o3 


4556 


46io 


4663 


28 


32 


5ooo 




5n3 5i6 9 


5225 


5281 


2 7 


32 


4 7 i6 


4 77 o 


4823 


48 7 6 


4930 


4g83 


2 7 


33 


5338 


53 9 4 


545o 


55o6 5562 


56i8 


26 


33 


5o36 


5090 


5i43 


5i 9 6 


5 2 5o 


53o3 


26 


34 
35 


56 7 4 
6011 


5 7 3i 
6o6 7 


5 7 8 7 584358 99 5 9 55 
6123 6i 79 ! 623562 9 i 


25 
24 


34 
35 


5356 
56 7 6 


5409 
5-729 


5463 
5 7 8 2 


55i6 
5835 


5569 

5888 


5622 

5942 


25 

24 


36 


634 7 


64o3 


645 9 65i565 7 i 662 7 


23 


36 


5 99 5 


6o48 


6101 


6i54 


620-7 


6-261 


23 


37 


6683 


6739 


6 79 5 


685i6gp7 


6 9 63 


22 


37 


63i4 


636 7 


6420 


64 7 3 


6526 


65 79 


22 


38 


7 OI 9 


7 o 7 5 


7 i3i 


7 l8 7 ! 7 242 


7 2 9 8 


21 


38 


6632 


6685 


6 7 3 9 


6 79 2 


6845 


6898 


21 


3 9 


7 354 


7 4io 


7 466 


7 522| 7 5 7 8 


7 633 


20 


39 


6 9 5i 


7 oo4 


7 o5 7 


7 I IO 


7 i63 


7 2l6 


2O 


4o 


9.54-7689 


7745 


7801 


78577912 


79 68 


*9 


4o 


9 .56 7 269 


7 322 


7 3 7 5 


7 428 


7 48i 


7 534 


19 


4i 


8024 


8080 


8i36 


8101 8&4? 


83o3 


18 


4J 


7 58 7 


7 64o 


7693 


77 46 


7799 


7 85i 


18 


42 


835 9 


84i4 


84 7 o 8526858i 


863 7 


17 


42 


7904 


79 5 7 


8010 


8o63 


8116 


8169 


'7 


43 


8693 


8 7 48 


88o4 


8860 8 9 i5 


8 97 i 


16 


43 


8222 


82 7 5 


832 7 


838o 


8433 


8486 


16 


44 


902 7 


9 o82 


9 i38 


9 i 9 3 


9249 


9 3o5 


i5 


44 


853 9 


8592 


8644 


86 97 


8 7 5o 


88o3 


i5 


45 


9360 


9 4i6 


9 4 7 i 


9 52 7 9 582 


9 638 


i4 


45 


8856 


8908 


8961 


9 oi4 


9o6 7 


9119 


U 


46 9 6 9 3 


9749 


9 8o5 


9 86oj 99 i6 


997 i 


i3 


46 


91-72 


9225 


9 2 77 


9 33o 


9 383 


9 436 


i3 


4 79 . 55oo26 


0082 


oi3 7 


oi 9 3o248 


o3o4 


IS 47 


9488 


9 54i 


95 9 4 


9 646 


9699 


97 5 2 


12 


48 


oSSg 


o4i5 


o4 7 o o525 o58i 


o636 


II 


48 


9804 


9 85 7 


9910 


99 62 




..67 


II 


49 


0692 


o 7 4 7 


0802 


o858o 9 i3 


o 9 68 


10 


49 


9.5 7 oi2o 


oi 7 3 


O225 


02 7 8 


o33o 


o383 


IO 


5o g.55io24 


io 79 


n34 


II 9 O 1245 


i3oo 


9 


5o 


9.5 7 o435 


o488 


o54i 


o5 9 3 


o646 


0698 


9 


5i i356 




i466 


i52i i5 77 


i632 


8 


5i 


o 7 5i 


o8o3 


o856 


o 9 o8 


0961 


ioi3 


8 


52 i68 7 


I 7 42 


17981853 I 9 o8 


i 9 63 


7 


52 


1066 


1118 


I I 7 O 


1223 


I2 7 5 


i328 


7 


53 2018 


20 7 4 


2129 2l84J223^ 


2294 


6 


53 


i38o 


i433 


i485 


i53 7 


1590 


1642 


6 


1EJ 


2349 


24o5 


2460 25i5J25 7 o 


2625 


5 


54 


i6 9 5 


1747 


1-799 


i852 


1904 


i 9 56 


5 


55 


2680 


2 7 35 


2 7 JOO 


2845 2 9 OO 


2955 


4 


55 


2009 


vjo6i 


2Il3 


2*66 2218 


22 7 O 


4 


56 


3oio 


3o65 


3l2I 


3i 7 63 2 3i 


3286 


3 


56 


2323 


23 7 5 


242 7 


24 7 9 2532 


2584 


3 


57 


334i 


33 9 6 


345 1 


35o6356o 


36i5 


2 


57 


2 636 


2688 


2 7 4l 


2 79 3i2845 


289? 


2 


58 


36 7 o 


3 72 5 


3 7 8o 


3835;38 9 o 


3 9 45 


I 


58 


2 9 5o 


3002 


3o54 


3io63i58 


3210 


I 


5 9 


4ooo 


4o55 


4no 


4i65 4219 


4a 7 4 


O 


5 9 


3263 33i5 


336 7 


34i 9 34 7 i 


3523 


O 




60" 50" 


40" 


30" 20" 10" 


fl 




60" 50" 


40" 


30" 20" 


10" 


c - 




Co-sine of 69 Degrees. 


i 




Co-sine of 68 Degrees. 


.5 
S 


< 1" 2" 3" 4" 


5" 6" 7" 8" 9" 


.( I" 2" 3" 4" 5" 6" 7" 8" 9" 


art { 6 11 17 23 


28 34 39 45 51 

i 


r.rart^ 5 n lg 21 ^ ^ ^ ^ 4g 



LOGARITHMIC TANGENTS. 



1 


Tangent of 20 Degrees. 




A 


Tangent of 21 Degrees. 




8 


0" 


10" 


20" 


30" 


40" 


50" 




2 


0" 


10" 


20" 


30" 


40" 


50" 




o 


9.56io66 


n3i 


1197 


1262 


1328 


i3 9 3 


5 9 





9- 584i77 


4240 


43o3 


4366 


4429 


4492 


5 9 


I 


i45 9 


i524 


i5 9 o 


i655 


1721 


1786 


58 


I 


4555 


46i8 


468 1 


4?44 


48o6 


4869 


58 


2 


i85i 


1917 


I 9 82 


2048 


2Il3 


2178 


57 


2 


4 9 32 


4995 


5o58 


5l2I 


5i83 


5246 


5 7 


3 


2244 


23o 9 


2375 


244o 


25o5 


2571 


56 


3 


53o 9 


53? 2 


5435 


5498 


556o 


5623 


56 


4 


2636 


2701 


2767 


2832 


2897 


2 9 63 


55 


4 


5686 


5 7 4 9 


58ii 


58 7 4 


5 9 3 7 


6000 


55 


5 


3028 


3o 9 3 


3i58 


3224 


3289 


3354 


54 


5 


6062 


6125 


6188 


625i 


63i3 


6376 


54 


6 


34i9 


3485 


355o 


36i5 


368o 


3 7 46 


53 


6 


643 9 


65oi 


6564 


662 7 


6689 


6752 


53 


7 


38n 


38 7 6 


3 9 4i 


4op6 


4071 


4i3 7 


52 


7 


68i5 


6877 


6 9 4o 


7 oo3 


7 o65 


7128 


5 2 


8 


4202 


4267 


4332 


43 97 


4462 


4527 


5i 


8 


7i 9 o 


7253 


73i6 


7378 


7 44i 


75o3 


5i 


9 


45 9 3 


4658 


4723 


4 7 88 


4853 


4 9 i8 


5o 


9 


7566 


7629 


7691 


77 54 


7 8i6 


7879 


5o 


10 


9 .564 9 83 


5o48 


5u3 


5i 7 8 


5243 


53o8 


49 


IO 


9 .58 79 4i 


8oo4 


8066 


8129 


8191 


8 2 54 


4 9 


ii 


53y3 


5438 


55o3 


5568 


5633 


56 9 8 


48 


ii 


83 1 6 


83 7 9 


844i 


85o4 


8566 


8629 


48 


12 


5 7 63 


5828 


58 9 3 


5 9 58 


6023 


6088 


47 


12 


8691 


8 7 54 


8816 


88 7 8 


8 9 4i 


9003 


47 


i3 


6i53 


6218 


6283 


6348 


64i3 


6478 


46 


i3 


9 o66 


9128 


9191 


9 253 


9 3i5 


9 3 7 8 


46 


i4 


654s 


6607 


6672 


6 7 3 7 


6802 


6867 


45 


i4 


9 44o 


9502 


9 565 


9 62 7 


9690 


97 5 2 


45 


i5 


6 9 32 


5oo6 


706 1 


7 1 26 


71 OI 


7256 


44 


i5 


o8i4 


0877 


oo3o 




63 


.126 


44 


16 


7320 


uyyu 

7385 


745o 


7 5i5 


/ 7 * 

7 58o 


/ *^v 
7644 


43 


16 


y<-> 1 14. 

9 .5 9 oi88 


v / / 

025o 


vv^v 
o3i3 


o3 7 5 


o43 7 


0499 


43 


I? 


779 


7774 


7 83 9 


7 9 o3 


7968 


8o33 


42 


l? 


o562 


0624 


0686 


o 7 48 


0811 


o8 7 3 


42 


18 


8o 9 8 


8162 


8227 


82 9 2 


8356 


8421 


4i 


18 


o 9 35 


0997 


1060 


1122 


1184 


1246 


4i 


J 9 


8486 


855o 


86i5 


8680 


8744 


88o 9 


4o 


J 9 


i3o8 


1370 


i433 


1495 


i55 7 


1619 


4o 


20 


9 .5688 7 3 


8 9 38 


9 oo3 


9 o6 7 


9132 


9 i 97 


3 9 


20 


9 .5 9 i68i 


1743 


i8o5 


1868 


igSo 


1992 


3 9 


21 


9 26l 


9 326 


9390 


9455 


9 5i 9 


9 584 


38 


21 


2o54 


2116 


2178 


224O 


2302 


2364 


38 


22 


9 648 


97 i3 


9777 


9842 


9906 


997 1 


37 


22 


2426 


2488 


255o 


26l2 


2 6 7 4 


2 7 3 7 


37 


23 


9 . 570035 


OIOO 


oi64 


0229 


0293 


o358 


36 


23 


2 799 


2861 


2923 


2 9 85 


3o4 7 


3109 


36 


24 


0422 


0487 


o55i 


0616 


0680 


o 7 44 


35 


24 


3i 7 i 


3232 


3294 


3356 


34i8 


348o 


35 


25 


o8o 9 


0873 


o 9 38 


IOO2 


1066 


n3i 


34 


25 


3542 


36o4 


3666 


3 7 28 


3790 


3852 


34 


26 


n 9 5 


I25 9 


1324 


i388 


1452 


i5i7 


33 


26 


3 9 i4 


3 97 6 


4o38 


4o 99 


4i6i 


4223 


33 


27 


i58i 


1 645 


1710 


1774 


i838 


I 9 o3 


32 


27 


4285 


4347 


4409 


44 7 i 


4532 


4594 


32 


28 


1067 


2031 


2095 


2160 


2224 


2288 


3! 


28 


4656 


4718 


4780 


4842 


4903 


4965 


3i 


29 


2352 


2417 


2481 


2 545 


2609 


2673 


3o 


2 9 


5027 


5o8 9 


5i5o 


5212 


5274 


5336 


3o 


3o 


9 .5 7 2 7 38 


2802 


2866 


2930 


2994 


3o5 9 


2 9 


3o 


9.595398 


545 9 


552i 


5583 


5644 


5706 


29 


3i 


3i23 


3i8 7 


3 2 5i 


33i5 


33 79 


3443 


28 


3i 


5 7 68 


583o 


58 9 i 


5 9 53 


6oi5 


6076 


28 


32 


35o7 


3571 


3636 


3700 


3 7 64 


38 2 8 


27 


32 


6i38 


6200 


6261 


6323 


6385 


6446 


27 


33 


38 9 2 


3 9 56 


4020 


4o84 


4i48 


4212 


26 


33 


65o8 


6570 


663i 


6693 


6 7 54 


6816 


26 


34 


4276 


434o 


44o4 


4468 


4532 


45 9 6 


25 


34 


6878 


6 9 3 9 


7001 


7062 


7124 


7 i85 


25 


35 


466o 


4724 


4788 


4852 


4916 


4 9 8o 


24 


35 


7247 


7 3o 9 


7 3 7 o 


7432 


7493 


7 555 


24 


36 


5o44 


5io8 


5172 


5236 


5299 


5363 


23 


36 


7616 


7678 


77 3 9 


7801 


7862 


7924 


23 


3 7 


5427 


54 9 i 


5555 


56i 9 


5683 


5747 


22 


37 


7985 


8047 


8108 


8170 


823i 


8293 


22 


38 


58io 


58 7 4 


5 9 38 


6002 


6066 


6i3o 


21 


38 


8354 


84i5 


8477 


8538 


8600 


8661 


21 


3 9 


6i 9 3 


625 7 


632i 


6385 


6449 


65i2 


2O 


3 9 


8722 


8784 


8845 


8907 


8968 


9029 


20 


4x> 


9 .5 7 65 7 6 


664o 


6704 


6767 


683i 


68 9 5 


1 9 


4o 


9.599091 


9152 


9213 


9 2 7 5 


9 336 


9 3 9 8 


'9 


4.i 


6 9 5 9 


7022 


7086 


7 i5o 


72i3 


7277 


18 


4i 


945 9 


9520 


9 58i 


9 643 


974 


9765 


18 


4s 


734i 


74o4 


7 468 


7 532 


7 5 9 5 


7 65 9 


17 


42 


9827 


9888 


9949 


. . ii 


..72 


.i33 


*7 


43 


77 23 


7786 


7 85o 


79 J 4 


7977 


8o4i 


16 


43 


9.600194 


O256 


0317 


o3 7 8 


0439 


o5oo 


16 


44 


8io4 


8168 


8 2 3i 


82 9 5 


835 9 


8422 


i5 


44 


o562 


0623 


o684 


0745 


0806 


0868 


i5 


45 


8486 


854 9 


86i3 


8676 


8 7 4o 


88o3 


i4 


45 


0929 


0990 


io5i 


III2 


1174 


1235 


i4 


46 


8867 


8 9 3o 


8 99 4 


9 o5 7 


9 I2I 


9 i84 


i3 


46 


1296 


i35 7 


i4i8 


1479 


i54o 


1601 


i3 


47 


9 248 


9 3n 


53 7 5 


9 438 


9 502 


9 565 


12 


47 


1663 


1724 


i 7 85 


1 846 


1907 


i 9 68 


12 


48 


9 62 9 


9 6 9 2 


97 55 


9819 


9 882 


99 46 


II 


48 


2029 


2090 


2l5l 


2212 


2273 


2334 


II 


49 


9 .58ooo 9 


0072 


oi36 


0199 


0262 


o3.26 


IO 


49 


2395 


2456 


2517 


25 7 8 


2639 


2700 


IO 


5o 


9 .58o38 9 


o453 


o5i6 


o5 79 


0642 


0706 


9 


5o 


9.602761 


2822 


2883 


2944 


3oo5 


3o66 


9 


5i 


o 7 6 9 


o832 


o8 9 6 


0939 


1022 


1086 


8 


5i 


3127 


3i88 


3249 


33io 


33 7 i 


3432 


8 


52 


n4o 


1212 


I2 7 5 


i33 9 


I4O2 


i465 


7 


52 


34 9 3 


3554 


36i5 


36 7 5 


3736 


3797 


7 


53 


i528 


i5 9 i 


i655 


1718 


1781 


1 844 


6 


53 


3858 


3 9 ! 9 


3 9 8o 


4o4i 


4lO2 


4162 


6 


54 


I 9 07 


1971 


2034 


2097 


2l6o 


2223 


5 


54 


4223 


4284 


4345 


44o6 


446 7 


452 7 


5 


55 


2286 


235o 


24i3 


2476 


253 9 


2602 


4 


55 


4588 


4649 


4?io 


4771 


483i 


48 9 2 


4 


56 


2665 


2728 


2 79 i 


2 854 


2 9 I 7 


2 9 8o 


3 


56 


4953 


5oi4 


5o 7 4 


5i35 


5i 9 6 


5257 


3 


*7 


3o44 


3107 


3i 7 o 


3233 


32 9 6 


335 9 


2 


57 


53i 7 


5378 


543 9 


55oo 


556o 


562i 


2 


58 


3422 


3485 


3548 


36n 


36 7 4 


3 7 3 7 


I 


58 


568 2 


5 7 42 


58o3 


5864 


5 9 24 


5 9 85 


I 


5 9 


38oo 


3863 


3 9 26 


3 9 8 9 


4o5 2 


4n4 





5 9 


6o46 


6106 


6167 


6228 


6288 


634 9 


O 




60" 


50" 


40" 


30" 


20" 


10" 


a 




60" 


50" | 40" 


30" 


20" 


10" 


. 
a 




Co-tangent of 69 Degrees. 


S 




Co-tangent of 68 Degrees. 


i 


p p. ( 1" 2" 3" 4" 5" 6" 7" 8" 9" 


p p < 1" 2" 3" 4" 5" 6" 7" 8" 9" 


$ 6 13 19 26 32 39 45 51 58 


irl j 6 12 19 25 31 37 43 49 56 



46 



LOGARITHMIC SINES. 



.a 


Sine of 22 Degrees. 




d 


Sine of 23 Degrees. 




B 


0" 


10" 


20" 30" 40" 


50" 


jjj 


0" 


10" 


20" 


30" 


40" 


50" 




o 


9 .5 7 35 7 5 


36 2 8 


368o3 7 323 7 84 


3836 5 9 





9 .5 9 i878 


I 9 28 


I 977 


202 7 


20-76 


2126 


5 9 


I 


3888 


3 9 4o 


3 99 2 4o44 4o 9 6 


4i4858 


I 


2176 


2225 


22 7 5 


2324 


2 3 7 4 


2423 


58 


2 


4200 


4262 


43o44356,44o8 


446o 


57 


2 


24 7 3 


2522 


25 7 2 


2621 


26-71 


2720 


57 


3 


45ia 


4564 


46i646684 7 2o 


4 77 2 


56 


3 


2770 


28l 9 


286 9 


2 9 i8 


2 9 68 


3017 


56 


4 


4824 


48 7 6 


4 9 28 4 9 8o 5o32 


5o84 


55 


4 


3067 


3n6 


3i65 


32i5 


3 2 64 


33i4 


55 


5 


5i36 


5187152395291 5343 


53 9 5 


54 


5 


3363 


34i2 


3462 


35n 


356i 


36io 


54 


6 


544 7 


5499 555o56o2 5654 


5 7 o6 


53 


6 


365 9 


3 7 o 9 


3 7 58 


38o 7 


385 7 


3 9 o6 


53 


7 


5 7 58 


58io|586i 6913 5 9 65 


6oi 7 


52 


7 


3 9 55 


4oo5 


4o54 


4io3 


4i53 


4202 


52 


8 


6o6 9 


6120 6172 6224 


6276 


632 7 


5i 


8 


4261 


43oi 


435o 


43 99 


4448 


44 9 8 


5i 


9 




643i 


6482 6534 


6586 


6638 


5o 


9 


4547 


45 9 6 


4645 


46 9 5 


4 7 44 


4 79 3 


5o 


10 


9 .5 7 668 9 


6 7 4i 


6 79 3 6844 


6896 


6 9 48 


49 


IO 


9 .5 9 4842 


48 9 i 


4 9 4i 


4 99 o 


5o3 9 


5o88 


4 9 


ii 


6999 


7061 


-7102 7 i54 


-7206 


7 25 7 


48 


ii 


5i3 7 


5i86 


5236 


5 2 85 


5334 


5383 


48 


12 


7 3o 9 


736074127464 


7 5i5 


756 7 


47 


12 


5432 


548 1 


553o 


558o 


562 9 


56 7 8 


47 


i3 


7618 


7 6 7 o 77 2i 777 3 


7 8 2 4 


7 8 7 6 


46 


i3 


6727 


5 77 6 


58 2 5 


58 7 4 


5 9 23 


5 97 2 


46 


a 


79 2 7 


7979 


8o3o8o82 


8i33 


8i85 


45 


i4 


6021 


6o 7 o 


6ii 9 


6168 


621-7 


6266 


45 


i5 


8236 


8288 


833 9 83 9 i 


8442 


84 9 4 


44 


i5 


63i5 


6364 


64i3 


6462 


65n 


656o 


44 


16 


8545 


85 9 6 8648 86 99 


8 7 5i 


8802 


43 


16 


66o 9 


6658 


6 7 o 7 


6 7 56 


68o5 


6854 


43 


! 7 


8853 


8 9 o5 


8 9 56 9 oo8 


9 o5 9 


9 T io 


4? 


x? 


6 9 o3 


6 9 5 2 


7 OOI 


7 o5o 


799 


7i48 


42 


18 


9 l62 


9 2l3 


9 264: 9 3i6 


9 36 7 


9 4i8 


4i 


18 


7 i 9 6 


7 245 


7 2 9 4 


7 343 


7392 


744 1 


4i 


i 9 


9 4 7 o 


9 52I 


9 5 7 2 9 623 


9675 


972 6 


4o 


'9 


74 9 o 


7 53 9 


7 58 7 


7 636 


7 685 


7734 


4o 


20 
21 


9- 5 79777 
9 .58oo85 


9 828 9 88o 99 3i 
oi36oi8 7 'o238 


99 8 2 

O28 9 


..33 
o34i 


39 

38 


20 

21 


9 .&o 77 83 
8o 7 5 


7 83i 
8124 


-7880 
8i 7 3 


7929 
8222 


7978 
82-70 


802-7 
83i 9 


39 

38 


22 


o3 9 2 


o443 


o4 9 4 


o545 


o5 9 6 


o64 7 


37 


22 


8368 


84i 7 


8465 


85i4 


8563 


8612 


37 


23 


o6 99 


o 7 5o 0801 


0862 


o 9 o3 


o 9 54 


36 


23 


8660 


8 7 o 9 


8 7 58 


8806 


8855 


8 9 o4 


36 


24 


ioo5 


1066 


110-7 


ix58 


I2O 9 


1261 


35 


24 


8 9 52 


9 ooi 


9 o5o 


9 o 9 8 


9 i4 7 


9 i 9 5 


35 


25 


l3l2 


i363 


x4x4 


i465 


1616 


1667 


34 


25 


9 244 


9 2 9 3 


9 34i 


9 3 9 o 


9 438 


9 48 7 


34 


26 


1618 


i66 9 


1-720 


i 77 i 


1822 


i8 7 3 


33 


26 


9 536 


9 584 


9 633 


9 68i 


97 3o 


9778 


33 


27 


I 9 24 


i 97 5 


2026 


2O 7 6 


2I2 7 


2178 


32 


27 


9 8 2? 


9 8 7 6 


99 a4 


9973 


. .21 


.. 7 o 


32 


28 


222 9 


22802331 


2382 


2433 


2484 


3i 


28 


9 . 600118 


016-7 


02l5 


0264 


O3l2 


o36i 


3i 


29 


2535 


2585 


2636 


2 68 7 


2 7 38 


2 7 8 9 


3o 


2 9 


o4o 9 


o45 7 


0606 


o554 


o6o3 


o65i 


3o 


3o 


9,582840 


28 9 O 2 9 4l 


2 99 2 


3o43 


3o 9 4 


2 9 


3o 


9 .6oo 7 oo 


o 7 48 


797 


o845 


o8 9 3 


o 9 42 


29 


3i 


3i45 


3i 9 5 


3246 


32 97 


3348 


33 9 8 


28 


3i 


o 99 o 


io38 


io8 7 


n35 


n84 


1232 


28 


32 


3449 


35oo355i 


36oi 


3652 


3 7 o3 


27 


32 


1280 


l32 9 


i3 77 


1426 


i4 7 4 


12 


2 7 


33 


3754 


38o4 3855 3 9 o6 


3 9 56 


4007 


26 


33 


i5 7 o 


i6i 9 


i66 7 


i 7 i5 


i 7 63 


1812 


26 


34 
35 
36 


4o58 
436i 
4665 


4io8 4i5 9 '42io 
44i2446345i3 
4 7 i64 7 66!48i 7 


426o43n 
456446x5 
486749x8 


25 
24 
23 


34 
35 
36 


1860 
2i5o 


I 9 o8 

2I 9 8 

248 7 


i 9 5 7 

2246 

2535 


2O05 
22 9 4 

2583 


2o53 

2342 
2632 


2101 
23 9 I 
2680 


26 

24 
23 


37 


4968 


5oi 9 


5o 7 o 


5l20 


5l 7 IJ522I 


22 


37 


2 7 28 


2 77 6 


2824 


28-72 


2 9 2O 


2 9 6 9 


22 


38 


6272 


5322 


53 7 3 


5423 


54 7 4i55 2 4 


21 


38 


3oi 7 


3o65 


3n3 


3i6i 


320 9 


3 2 5 7 


21 


3 9 


55 7 4 


5625 


56 7 5 


5 7 26 


5 77 6 682-7 


2O 


39 


33o5 


3353 


34oi 


344 9 


34 97 


3546 


2O 


4o 


9. 5858 77 


5 9 2 7 


5 97 8 6028 


6o 79 6i2 9 


1 9 


4o 


9 .6o35 9 4 


3642 


36 9 o 


3 7 38 


3 7 86 


3834 


I 9 


4i 


6179 


623o 


6280 633i 


638i 643i 


18 


4i 


3882 


3 9 3o 


3978 


4026 


4o 7 4 


4l22 


18 


42 


6482 


6532658 2 6633 


6683.6 7 33 


17 


42 


4i 7 o 


4218 


4266 


43i3 


436i 


44o 9 


17 


43 


6 7 83 


6834 


6884 6 9 34 


6 9 85 7 o35 


16 


43 


445 7 


45o5 


4553 


46oi 


464 9 


46 97 


16 


44 
45 


7086 
7386 


7 i35 
743 7 


718617236 
7 48 7 7 53 7 


7 286 7 336 
7 58 77 63 7 


i5 
x4 


44 
45 


4 7 45 
5o32 


4 79 3 
5o8o 


484i 
6128 


4888 
5i 7 6 


4 9 36 

5223 


4 9 84 

52 7 I 


i5 
i4 


46 


7688 


7738 


77 88 


7 838 


78887938 


i3 


46 


53i 9 


536 7 


54i5 


5462 


55io 


5558 


i3 


47 


7989 


8o3 9 8o8 9 


8i3 9 


8i8 9 823 9 


12 


47 


56o6 


5654 


5 7 oi 


5 7 4 9 


5 797 


5845 


12 


48 
49 


8289 
8590 


833 9 838 9 
864o 86 9 o 


843 9 
8 7 4o 


8489:8540 
87968840 


II 
IO 


48 
49 


58 9 2 


5 9 4o 
6226 


5 9 88 
62 7 4 


6o35 

6322 


6o836i3i 
636 9 |64i7 


II 
IO 


5o 


9.588890 


8 9 4o 8 99 o 


9 o4o 


9 o 9 o 9 i4o 


9 


5o 


9 .6o6465 


65i2 


656o 


6608 


6655 


6 7 o3 


9 


5i 


9190 


9 24o 9 2 9 O 


9 34o 


9 38 99 43 9 


8 


5i 


6 7 5i 


6798 


6846 


68 9 3 


6 9 4i 


6989 


8 


52 


9489 


9 53 9 9 58 9 9 63 9 


96809730 


7 


52 


7 o36 


7084 


7 i3i 


7179 


7227 


7 2 7 4 


7 


53 


9789 


9 83 99 88 9 ! 99 38 


99 88;..38 


6 


53 


7 322 


7 36 9 


7 4i 7 


7464 


7612 


7 55 9 


6 


54 


9.690088 


oi38 ; oi88 


023 7 


028-7 o33 7 


5 


54 


7 6o 7 


7654 


77 02 


7749 


7797 


7 844 


5 


55 


o38 7 


o43 7 o48 7 


o536 


o586o636 


4 


55 


7 8 9 2 


79 3 9 


7987 


8o34 


8082 


8129 


4 


56 


0686 


o 7 35 o 7 85 


o835 


o885 o 9 34 


3 


56 


8177 


8224 


82 7 I 


83i 9 


8366 


84i4 


3 


57 


0984 


io34 


io84 


n33 


H83J233 


2 


57 


846 1 


85o8 


8556 


86o3 


865i 


8698 


a 


58 


1282 


i33 2 


i38 2 


i43i 


i48i i53i 


I 


58 


8 7 45 


8793 


884o 


888 7 


8 9 35 


8982 


i 


5g 


1680 


i63o 1680 


1729 


i 779 1828 


O 


5 9 


9 02 9 


977 


9 I24 


9171 


9 2I 9 


9266 







60" 


50" 


40" 


30" 20" 10" 


. 




60" 


50" 


40" 


30" 


20" 


10" 


c 




Co-sine of 67 Degrees. 


a 




Co-sine of 66 Degrees. a" 


PPartJ 1 " 2 " 3/ 


' 4" 5" 6" 7" 8" 9" 


p p ( 1" 2" 3" 4" 5" 6" 7" 8" 9" 


\ 5 10 15 20 25 31 36 41 46 


ff I 5 10 15 19 24 29 34 39 44 



LOGARITHMIC TANGENTS. 



4-7 



1 


Tangent of 22 Degrees. 




J 


Tangent of 23 Degrees. 




s 


0" 


10" 


20" | 30" 40" 50" 




2 


0" 


10" 


20" 


30" 1 40" 


50" 




o 


9.606410 


6470 


653l 


6691 


6652 


6713 


5 9 


o 


9.627852 


7910 


7969 


8028 


8086 


8:45 


5 9 


i 


6 77 3 


6834 


68 9 4 


69 5 5 


7 oi5 


7076 


58 


i 


8203 


8262 


8320 


83 79 


843 7 


8496 


58 


2 

3 

4 


7 i3 7 
7600 
7863 


7197 
7 56o 
79 23 


7258 7 3i8 
7621 76811 
79 84 8o44i 


7 3 79 

77 42 

8io5 


7439 
7802 

8i65 


^7 
56 
55 


2 

3 
4 


8554 
8905 
9 255 


8612 
8963 
93i4 


8671 
9022 
9 3 7 2 


8 7 2 9 
9080 
943 1 


8 7 88 
9 i38 
9 48 9 


8846 
9i 97 
9 54 7 


57 
56 
55 


5 


8 22 5 


8286 


8346 


84o 7 


846 7 


85 2 8 


54 


5 


9606 


9 664 


9722 


978i 


;83 9 


9 8 97 


54 


6 


8588 


8648 


8709 


8 7 6 9 


883o 


8890 


53 


6 


9956 


..i4 


.. 7 3 


.i3i 


i8 9 


.247 


53 


1 


SgSo 


9011 


9071 


V 3i 


9 I 9 2 


9252 


52 


7 


9.63o3o6 


o364 


0422 


o48i 


o53 9 


o5 97 


52 


8 


9312 


9 3 7 3 


9 433 


9 4 9 3 


9 554 


9614 


5i 


8 


o656 


o 7 i4 


77 2 


o83o 


o88 9 


o 9 47 


5i 


9 


9674 


97 35 


979 5 


9 855 


99 i5 


9976 


5o 


9 


ioo5 


io63 


1122 


1180 


1238 


1296 


5o 


10 


9 .6ioo36 


0096 


oi56 


02I 7 


02 77 


o33 7 


49 


TO 


9 .63i355 


i4i3 


i4 7 i 


1529 


!58 7 


1640 


4y I 


ii 


o3 97 


o458 


o5i8 


o5 7 8 


o638 


0698 


48 


II 


1704 


I 7 62 


1820 


i8 7 8 


1936 


i 99 5 


48 


12 


7 5 9 


0819 


o8 79 


o 9 3 9 


999 


1059 


47 


12 


2o53 


2III 


2169 


222 7 


2285 


2343 


4? 


i3 


II2O 


1180 


1240 


i3oo 


i36o 


l42O 


46 


i3 


2402 


246o 


25i8 


25 7 6 


2634 


26 9 2 


46 


i4 


i48o 


i54o 


1601 


1661 


I 7 2I 


I 7 8! 


45 


i4 


2750 


2808 


2866 


2924 


2982 


3o4o 


45 


i5 


i84i 


1901 


i 9 6i 


2O2I 


2081 


2l4l 


44 


i5 


3o 99 


3!5 7 


32i5 


32 7 3 


333i 


338 9 


44 


16 


2201 


2261 


2321 


238l 


244i 


2 5oi 


43 


16 


3447 


35o5 


3563 


362i 


36 79 


3 7 3 7 


43 


i? 


256l 


2621 


2681 


2 7 4l 


2801 


2861 


42 


1 7 


3 79 5 


3853 


3911 


3969 


4o2 7 


4o85 


42 


18 


2921 


2981 


3o4i 


3ioi 


3i6i 


3221 


4i| 


18 


4i43 


4201 


425 9 


43i6 


43 7 4 


4432 


4i 


*9 


328l 


334i 


34oi 


346i 


352i 


358i 


4o 


J 9 


44 9 o 


4548 


46o6 


4664 


4 7 22 


4 7 8o 


4o 


20 


9.6i364i 


3701 


3 7 6o 


3820 


388o 


394oj3 9 


20 


9 . 634838 


4896 


4 9 54 


Son 


5069 


5l2 7 


3 9 


21 


4ooo 


4o6o 


4l20 


4i8o 


423 9 


4299 


38 


21 


5i85 


5243 


53oi 


5359 


54:6 


5474 


38 


22 


435 9 


44i9 


44 79 


453 9 


45 9 8 


4658 


37 


22 


5532 


55go 


5648 


5 7 o6 


5 7 63 


582i 


37 


23 


4718 


4778 


4838 


48 97 


4 9 5 7 


5017 


36 


23 


58 79 


5 9 3 7 


5 99 5 


6o52 


6110 


6168 


36 


24 


5077 


5i36 


5i 9 6 


5256 


53i6 


53 7 5 


35 


24 


6226 


6283 


634i 


63 99 


645 7 


65i4 


35 


25 


5435 


54 9 5 


5555 


56i4 


56 7 4 


5 7 34 


34 


25 


65 7 2 


663o 


6688 


6 7 45 


68o3 


6861 


34 


26 


5 79 3 


5853 


SgiS 


5 97 2 


6o32 


6092 


33 


26 


6 9 i 9 


6976 


7 o34 


7 o 9 2 


7149 


7207 


33 


27 


6i5i 


6211 


62 7 I 


633o 


63 9 o 


645o 


32 


27 


72 65 


7322 


7 38o 


7 438 


7495 


7 553 


32 


28 


6509 


656 9 


6628 


6688 


6 7 48 


6807 


3i 


28 


7 6n 


7668 


77 26 


7783 


7841 


7899 


3i 


29 


6867 


6926 


6986 


7 o46 


7 io5 


7i65 


3o 


29 


79 56 


8oi4 


8o 7 2 


8129 


8187 


8244 


3o 


3o 


9 617224 


7284 


7343 


74o3 


7 462 


7522 


29 


3o 


9 . 638302 


8359 


84i 7 


8475 


8532 


85 9 o 


29 


3i 


7582 


?64 1 


77 oi 


77 6o 


7 820 


7879 


28 


3i 


864 7 


8705 


8 7 62 


8820 


8877 


8935 


28 


32 


79 3 9 


799 8 


8o5 7 


8n 7 


8i 7 6 


8236 


27 


32 


8 99 2 


9o5o 


9 io 7 


9 i65 


9222 


9280 


2 7 


33 


8295 


8355 


84i4 


8474 


8533 


85 9 3 


26 


33 


9 33 7 


9 3 9 5 


9 45 2 


9 5io 


9 56 7 


9625 


26 


34 


8652 


8711 


8771 


883o 


88 9 o 


8949 


25 


34 


9 682 


9740 


9797 


9 855 


99 I2 


99 6 9 


25 


35 


9008 


9 o68 


9 I2 7 


9 i86 


9246 


9 3o5 


24 


35 


9 .64oo2 7 


oo84 


Ol42 


oi 99 


O25 7 


o3i4 


24 


36 


9 364 


9 424 


9 4S3 


9 543 


9 6o2 


966! 


23 


36 


o3 7 i 


0429 


o486 


o544 


0601 


o658 


23 


37 


9720 


0780 


9 83 9 


9808 


99 58 


..17 


22 


37 


o 7 i6 


o 77 3 


o83o 


0888 


o 9 45 


1002 


22 


38 


9.620076 


oi36 


oi 9 5 


0254 


o3i3 


o3 7 3 


21 


38 


1060 


1117 


n 7 4 


1232 


1289 


1 346 


21 


3 9 


0432 


0491 


o55o 


0610 


o66 9 


0728 


2O 


3 9 


i4o4 


i46i 


i5i8 


i5 7 5 


i633 


1690 


20 


4o 


9.620787 


o846 


o 9 o6 


o 9 65 


1024 


io83 


1 9 


4o 


9 .64i 7 47 


i8o5 


1862 


19x9 


19-76 


2o34 


I 9 


4i 


n4a 


1201 


1261 


1320 


i3 79 


i438 


18 


4i 


2091 


2148 


22O5 


2263 


2320 


2 3 77 


18 


42 


i4 9 7 


i556 


1616 


i6 7 5 


i?34 


i 79 3 


*7 


42 


2434 


2491 


2549 


2606 


2663 


2 7 20 


17 


43 


i852 


1911 


i 97 o 


2029 


2088 


2147 


16 


43 


2777 


2834 


2892 


2 9 4 9 


3oo6 


3o63 


16 


44 


2207 


2266 


2325 


2384 


2443 


25O2 


i5 


44 


3l20 


3i77 


3235 


3292 


334 9 


34o6 


i5 


45 


256i 


2620 


26-79 


2 7 38 


2797 


2856 


i4 


45 


3463 


3520 


35 77 


3634 


3691 


3 7 4 9 


i4 


46 


2915 


2974 


3o33 


3092 


3i5i 


32IO 


i3 


46 


38o6 


3863 


3920 


3977 


4o34 


4o 9 i 


i3 


47 


3269 


3328 


338 7 


3446 


35o5 


3564 


12 


47 


4i48 


42o5 


4262 


43 1 9 


43 7 6 


4433 


12 


48 


3623 


3682 


3 7 4i 


38oo 


3858 


3 9 i 7 


II 


48 


4490 


4547 


46o4 


466i 


4718 


4 77 5 


II 


49 


3 97 6 


4o35 


4o 9 4 


4i53 


4212 


4271 


IO 


49 


4832 


4889 


4946 


5oo2 


5o6o 


5n 7 


IO 


5o 


9.62433o 


4388 


444 7 


45o6 


4565 


4624 


Q 


5o 


9 .645i 7 4 


523i 


5 2 88 


5345 


54o2 


545 9 


9 


5i 


4683 


4742 


48oo 


485 9 


4918 


4977 


& 


5i 


55i6 


55 7 3 


563o 


568 7 


5 7 44'58oi 


8 


62 


5o36 


5og4 


5i53 


5212 


5271 


533o 


7 


52 


585 7 


5gi4 


5 97' 


6028 


6o856i42 


7 


53 


5388 


5447 


55o6 


5565 


5623 


5682 


6 


53 


6199 


6 2 56 


63i3 


636 9 


64266483 


6 


54 


574i 


58oo 


5858 


5 9I7 


5 97 6 


6o35 


5 


54 


654o 


65 9 7 


6654 


6710 


6 7 6 7 ; 6824 


5 


55 


6o 9 3 


6i5 2 


6211 


6269 


6328 


638 7 


4 


55 


6881 


6 9 38 


6995 


7o5i 


7 io8; 7 i65 


4 


56 


6445 


65o4 


6563 


6621 


6680 


6739 


3 


56 


7222 


7279 


7 335 


7 3 9 2 


7 449 7 5 6 


3 


57 


6797 


6856 


6 9 i5 


6 97 3 


7032 


7090 


2 


57 


7 56 2 


7619 


7 6 7 6 


7733 


7789*7846 


2 


58 


7149 


7208 


7266 


7 325 


7383 


7442 


I 


58 


79 o3 


7960 8016:807!: 


8i3o8i86 


I 


5 9 


75oi 


7 55 9 


7 6i8 


7 6 7 6 


7735 


779 3 





5 9 


8243 


83oo835684i3 


8470:8626 







60" 


50" 


40" 


30" 


20" 


10" 


. 




60" | 50" | 40" | 30" 


20" 1 10" 


. 




Co-tangent of 67 Degrees. 


S3 




Co-tangent of 66 Degrees. 


a 


P P A I" 2" 3" 4" 5" 6" 7" 8" 9" 


.( 1" 2" 3" 4" 5" 6" 7" 8" 9" 


trc 6 12, 18 24 30 36 42 48 54 


in \ 6 12 17 23 29 35 40 46 52 



LOGARITHMIC SINES. 



FT 


Sine of 24 Degrees. 




a 


Sine of 25 Degrees. 







0" 


10" 


20" 


| 30" 


40" 


50" 




9 


0" 10" 20" 30" 


40 V 


50" 






I 


9 6o 9 3i3 
9 5 97 


9 36i 
9 644 


9691 


9 455 
97 3 9 


9502 
9786 


9 55o 
9 833 


59 
58 


o 

I 


9.625948 
6219 


5 99 3 
62^4 


6039 6o84 6129 
63o 9 6354i64oo 


6i 7 4 
6445 


5 9 

58 


2 


9 88o 


99 28 


997 5 ..22 


..69 


.116 


57 


2 


6490 


6535 


658o 6625 6670 


6 7 i5 


5 7 


3 


9.610164 


O2II 


0258 


o3o5 


o352 


o3 99 


56 


3 


6760 


68o5 


685o 6895 6940 


6 9 85 


56 


4 


o44? 


o4 9 4 


o54i 


o588 


o635 


0682 


55 


4 


7o3o 


7 o 7 5 


7120 7165 7210 


7255 


55 


5 
6 


o 7 2 9 

IOI2 


0776 
io5 9 


0823 o8 7 i 
1106 u53 


0918 
1 200 


0965 
1247 


54 
53 


5 
6 


73oo 
7 5 7 o 


7345 
76i5 


7 3 9 o 
7660 


7435 
77 5 


7 48o 
77 5o 


7 5 2 5 
779 5 


54 
53 


8 


1294 

i5 7 6 


i34i 
i6 2 3 


i388 
i6 7 o 


i435 
1717 


1482 
1764 


1529 
1811 


52 

5i 


7 

8 


7 84o 
8109 


7 885 
8i54 


792979748019 
8i 99 ]8a448a8 9 


8o64 
8333 


52 

5i 


9 


i858 


I 9 o5 


1952 


1999 


2046 


2093 


5o 


9 


83 7 8 


8423 


8468 85 1 3 


8558 


8602 


5o 


10 


9.612140 


2l8 7 


2234 


2280 


2327 


2874 


49 


10 


9.628647 


86 9 2 


8 7 3 7 


8782 


8826 


88 7 i 


49 


n 


2421 


2468 


2 5i5 


2562 


2609 2655 


48 


n 


8916 


8961 


9 oo6 


9o5o 


9 o 9 5 


9 i4o 


48 


12 


2 7 02 


2 7 4 9 


2 79 6 


2843 


2890 2936 


47 


12 


9 1 85 


9229 


9 2 7 4 


9 3i 9 


9 363 


9 4o8 


47 


i3 

i4 


2983 

3264 


3o3o 
33u 


3o 77 
3358 


34o4 


3171 3217 

345 1 34 9 8 


46 
45 


i3 
i4 


9 453 

97 2I 


9498 
9766 


9810 


9 58 7 
9 855 


9632 
9900 


9 6 7 6 
99 44 


46 
45 


i5 


3545 


35 9 i 


3638 


3685 


3 7 3a3 77 8 


44 


i5 


9989 


..34 


..78 


.123 


.168 


.212 


44 


16 


3825 


38 7 2 


3 9 i83 9 65 


4oia|4o58 


43 


16 


9.63o25 7 


o3oi 


o346 


o3 9 i 


o435 


o48o 


43 


17 


4io5 


4i52 


41984245 


4292 


4338 


42 


17 


o524 


0569 


o6i3 


o658 


o 7 o3 


o 7 4y 


42 


18 


4385 


4432 


44784525 


45 7 i 


46i8 


4i 


18 


792 


o836 


0881 


O 9 25 


o 97 o 


1014 


4i 


19 


4665 


4711 


4758 


48o4 


485i 


48 9 8 


4o 


J 9 


1059 


iio3 


ii48 


II 9 2 


I23 7 


1281 


4o 


20 


9 .6i4 9 44 


4991 


5o3 7 


5o84 


5i3o 


5i 7 7 


39 


20 


9 .63i326 


1370 


i4i5 


i45 9 


i5o4 


1 548 


3 9 


21 


5223 


52 7 O 


53i6 


5363 


54o 9 


5456 


38 


21 


i5 9 3 


i63 7 


1681 


1726 


I 77 


i8i5 


38 


22 


55o2 


5549 


55 9 5 


5642 


5688 


5 7 35 


37 


22 


1859 


1904 


i 9 48 


I 99 2 


203 7 


2081 


3 7 


23 5 7 8i 


5828 


58 7 4 


5921 


5 9 6 7 


6oi3 


36 


23 


. 2125 


2170 


22l4 


225 9 


23o3 


234 7 


36 


24! 6060 


6106 


6i53 6i 99 


6245 


6292 


35 


24 


2392 


2436 


2480 


2525 


2569 


26i3 


35 


25 


6338 


6385 


643i 


6477 


65 2 4 


65 7 o 


34 


25 


2658 


2702 


2 7 46 


2 79 


2835 


2 8 79 


34 


26 


6616 


6663 


6 7 o 9 6 7 55 


6802 


6848 


33 


26 


2923 


2968 


3012 


3o56 


3ioo 


3i45 


33 


27 


68 9 4 


6 9 4i 


6 9 8 7 7 o33 


7080 


7 I26 


32 


27 


3189 


3233 


3277 


3322 


3366 


34io 


32 


28 


7 I 7 2 


7 2l8 


7 265 


7 3ii 


735 7 


74o3 


3i 


28 


3454 


3498 


3543 


358 7 


363i 


36 7 5 


3i 


29 


7 45o 


7496 


7542 


7 588 


7 635 


7681 


3o 


29 


3 7 i 9 


3 7 64 


38o8 


3852 


38 9 6 


3 9 4o 


3o 


3o 


9.617727 


7773 


7819 


786617912 


7958 


29 


3o 


9 .633 9 84 


4028 


4o 7 3 


4ii 7 


4i6i 


42o5 


2 9 


3i 


8oo4 


8o5o 


80968143 


8189 


8235 


28 


3i 


424 9 


4293 


433 7 


438i 


4426 


447 


28 


32 


8281 


832 7 


83 7 3 


84i 9 


846585i2 


27 


32 


45i4 


4558 


4602 


4646 


4690 


4734 


27 


33 

34 


8558 
8834 


86o4 
8880 


865o 86968742 
89268972 9018 


8788 
9064 


26 

25 


33 

34 


4778 


4822 
5o86 


4866 
5i3o 


4 9 io 
5i 7 4 


4954 
5 2 i8 


4 99 8 
5262 


26 
25 


35 


91 10 


9 i56 


9202 9248 


9294 


9340 


24 


35 


53o6 


535o 


53 9 4 


5438 


5482 


5526 


24 


36 


9 386 


9 43 2 


9 4 7 8 9 5 2 4 


957 


9616 


23 


36 


55 7 o 


56i4 


5658 


5 7 O2 


5 7 46 


5-790 


23 


37 


9662 


97 o8 


97 54 9 8oo 


9 846 


9892 


22 


37 


5834 


58 7 7 


5 9 2I 


5 9 65 


6009 


6o53 


22 


38 


99 38 


99 84 


..3o 


..76 


. 121 


.167 


21 


38 


6o 97 


6i4i 


6i85 


6229 


62-72 


63i6 


21 


3 9 


9. 6. 02 i 3 


025 9 


o3o5;o35i 


o3 97 


o443 


20 


39 


636o 


64o4 


6448 


64 9 2 


6535 


65 7 9 


2O 


4o 


9.620488 


o534 


o58o 0626 


0672 


0718 


19 


4o 


9. 636623 


6667 


6711 


6 7 54 


6798 


6842 19 


4i 


o 7 63 


0809 


o855 0901 


o 9 47 


0992 


18 


4l 


6886 


6930 


6 97 3 


7017 


7061 


7 io5 


18 


42 


io38 


1084 


n3d 


1 17511221 


1267 


'7 


42 


7i48 


7192 


7236 


7 28o 


7323 


7 36 7 


7 


43 


i3i3 


1 358 


i4o4 


i45o i4 9 6 


i54i 


16 


43 


7 4n 


7455 


7498 


7 542 


7 586 


7 62 9 


16 


44 


i58 7 


i633 


i6 7 8 


1724 1770 1816 


i5 


44 


7 6 7 3 


7717 


7760 


7 8o4 


7 848 


7 8 9 i 


i5 


45 
46 


1861 
2i35 


I 9 o 7 
2181 


i 9 53 i 99 8 2044^2089 
2226 2272 23i8 2363 


i4 
i3 


45 
46 


79 35 
8197 


7979 
8240 


8022 
8284 


8066 

8328 


8110 
83 7 i 


8i53 

84i5 


i4 

i3 


47 


2409 


2454 


25ooj2546 25 9 i 


2 63 7 


12 


47 


8458 


85o2 


8546 


858 9 


8633 


86 7 6 


12 


48 


3682 


2 7 28 


2 77 3 


28i 9 


2865 


2910 


II 


48 


8 7 20 


8 7 63 


8807 


885i 


88 9 4 


8 9 38 


II 


4 9 2 9 56 


3ooi 


3o4 7 


3o 9 2 


3i38 


3i83 


10 


49 


8981 


9025 


9068 


9 I 12 


9 i55 


9*99 


10 


5o 9.623229 


32 7 4 


3320 


3365 


34n 


3456 


9 


5o 


9.639242 


9286 


9 32 9 


9 3 7 3 


9 4i6 


9 46o 


9 


5i 


35o2 


354 7 


35 9 3 3638 


3683 


3 7 2 9 


8 


5i 


95o3 


9 546 


9 5 9 o 


9 633 


9677 


97 20 


8 


52 


3 77 4 


3820 


3865 


3 9 n 


3 9 56 


4ooi 


7 


52 


9764 


9807 


9 85i 


oil 4 


99 3 7 


99 8i 


7 


53 4o47 


40 9 2 


4i38 


4i83 


4228 


4274 


6 


53 


9.640024 


0068 


on i 




oi 9 8 


024l 


6 


54 


43i9 


4364 


44io 


445545oo 


4546 


5 


54 


0284 


o328 


0371 


o4i4 


o458 


o5oi 


5 


55 
56 


45 9 i 
4863 


4636 
4 9 o8 


4682 
4954 


47*274772 
4999 5o44 


48i8 
5o8 9 


4 
3 


55 
56 


o544 o588 
o8o4lo848 


o63i 
o8 9 i 


o6 7 4o 7 i8 
0934:0978 


o 7 6i 

1 02 I 


j 


5? 


5i35 


5i8o 


5225 


5270 53i6 


536i 


2 


57 


1064 1 107 


i i5i 


1 194 i23 7 


1280 


2 


58 


54o6 


545i 


54 9 6 


5542 558 7 


5632 


I 


58 


i324 i36 7 


i4io 


i453 !4 9 6 


i54o 


I 


5 9 


56 77 


5 7 22 


5 7 68 


58i3;5858 


5 9 o3 


O 


5 9 


i583 1626 


1669 


1712 i 7 56 1799 o 




60" 


50" 


40" J 


30" 20" 


10" 


B 




60" 50" 40" 30" 20" i 10" 1 ^ 




Co-sine of 65 


Degrees. 






Co-sine of 64 Degrees. ^ 


P T> t f 1" 2" 3" 4" 


5" 6" 7" 8" 9" 


p p ( 1" 2" 3" 4" 5" 6" 7" S" 9" 1 


P ' Part { 5 9 14 18 


23 28 32 37 42 

ij 


^4 9 13 18 22 26 31 35 40 



LOGARITHMIC TANGENTS. 



49 



A 


Tangent of 24 Degrees. 




A 


Tangent of 25 Degrees. 




m 


0" 


10" 


20" 


30" 


40" 


50" 




m 


0" 


10" 


20" 


30" 


40" 


50" 




o 


9.648583 


864o 


8696 


8 7 53 


88lO 


8866 


5 9 


o 


9. 6686 7 3 


8728 


8782 


883 7 


88 9 2 


8 9 47 


5 9 


1 


8923 


8 9 8o 


9o36 


9 o 9 3 


9i5o 


9 2O6 


58 


I 


9 OO2 


9 5 7 


9112 


9167 


9 222 


9277 


58 


2 


9263 


9 3i 9 


9 3 7 6 


9 433 


948 9 


9 546 


5 7 


2 


9 332 


9 38 7 


9442 


9497 


9 552 


9606 


5 7 


3 


9602 


9659 


97 i5 


9772 


9829 


9885 


56 


3 


9 66i 


9716 


9771 


9826 


9 88l 


99 36 


56 


4 


9942 


9998 


..55 


.in 


.168 


.224 


55 


4 


999 1 


..45 


IOO 


.i55 


.210 


.265 


55 


5 


9.650281 


o33 7 


o3 9 4 


o45o 


0507 


o563 


54 


5 


9.670320 


o3 7 5 


0429 


o484 


o53 9 


o5 9 4 


54 


6 


0620 


0676 


o 7 33 


0789 


o846 


0902 


53 


6 


o64g 


0703 


o 7 58 


o8i3 


0868 


0923 


53 


7 


0959 


ioi5 


IO 7 2 


1128 


n85 


1241 


52 


7 


0977 


1032 


087 


1142 


1197 


I25l 


52 


8 


1297 


i354 


l4lO 


i46 7 


i523 


1579 


5i 


8 


i3o6 


i36i 


4i6 


1470 


i5 2 5 


i58o 


5! 


9 


i636 


1692 


i 7 49 


i8o5 


1861 


1918 


5o 


9 


i635 


1689 


744 


i 799 


i853 


1908 


5o 


10 


9.65i 9 74 


2031 


2o8 7 


2i43 


220O 


2256 


49 


10 


9.671963 


2018 


2072 


2127 


2182 


2236 


49 


ii 


a3ifl 


236 9 


2425 


2481 


2538 


2 5 9 4 


48 


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229*1 


2346 


2400 


2455 


25lO 


2564 


48 


12 


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2707 


2 7 63 


2819 


2875 


2 9 32 


4 7 


12 


2619 


2674 


2728 


2 7 83 


2838 


2892 


47 


1 3 


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3o44 


3ioi 


3i57 


32i3 


326 9 


46 


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2947 


3ooi 


3o56 


3m 


3i65 


3220 


46 


i4 


3326 


3382 


3438 


3494 


355i 


3607 


45 


i4 


32 7 4 


332 9 


3384 


3438 


34 9 3 


3547 


45 


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3663 


3 7 i 9 


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3832 


3888 


3 9 44 


44 


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365 7 


3 7 n 


3 7 66 


3820 


38 7 5 


44 


16 


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4o5 7 


4n3 


4169 


4225 


4281 


43 


16 


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4o38 


4o 9 3 


4i48 


4202 


43 


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4337 


4394 


445o 


45o6 


4562 


46i8 


42 


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4366 


4420 


4475 


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18 


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4 7 3i 


4 7 8 7 


4843 


48 99 


4 9 55 


4i 


18 


4584 


4638 


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4802 


4856 


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5067 


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5236 


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54o4 


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55i6 


5572 


5628 


39 


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9.675237 


5292 


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54oi 


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9 


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5684 


5740 


5796 


5852 


5908 


5964 


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56i8 


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5781 


5836 


38 


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6020 


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6188 


6244 


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6o53 


6108 


6162 


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6356 


64l2 


6468 


6524 


658o 


6636 


36 


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6217 


6271 


6325 


638o 


6434 


6488 


36 


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6692 


6 7 48 


68o4 


6860 


6916 


6972 


35 


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6543 


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6706 


6760 


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7028 


7084 


7140 


7196 


7252 


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34 


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6869 


6 9 23 


6 977 


7032 


7086 


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34 


26 


7364 


7419 


7 4 7 5 


7 53! 


7 58 7 


7643 


33 


26 


7194 


7249 


7 3o3 


7 35 7 


7412 


7 466 


33 


27 


7699 


77 55 


7811 


7867 


7922 


7978 


32 


27 


7 52O 


7 5 7 4 


7629 


7 683 


7737 


7791 


32 


28 


8o34 


8090 


8i46 


8202 


8a58 


83i3 


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7 846 


79 


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8062 


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29 


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8425 


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85 9 2 


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8171 


8225 


82 79 


8334 


8388 


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8816 


8871 


8 9 27 


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29 


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8604 


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8 7 i3 


8767 


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9095 


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9206 


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8929 


8 9 84 


9 o38 


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32 


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9 485 


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9 5 9 6 


9 652 


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32 


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9 3o8 


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9819 


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0174 


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o336 


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24 


36 


0710 


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0821 


o8 77 


9 32 


o 9 88 


23 


36 


o444 


0498 


o55 2 


0606 


0660 


Q 7 i4 


23 


37 


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1099 


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1210 


1266 


1321 


22 


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1432 


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2487 


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2279 


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2820 


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2440 


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2602 


2656 


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3i53 


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3264 


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4260 


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4482 


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4324 


43 77 


443 1 


4485 


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45 9 2 


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49 


5o35 


5o 9 o 


5i45 


5200 


5 2 56 


53n 


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4646 


4700 


4753 


4807 


486i 


4 9 i4 


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9 . 665366 


542i 


54 7 7 


5532 


5587 


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5022 


5o 7 5 


5 1 29 


5i83 


5236 


9 


5i 


56 9 8 


5 7 53 


58o8 


5863 


5 9 i8 


5 97 4 


8 


5i 


5290 


5344 


53 97 


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55o5 


5558 


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52 


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6139 


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56i2 


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636o 


64i5 


6470 


65 2 5 


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6636 


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5934 


5987 


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6i48 


6202 


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6 7 46 


6801 


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6966 


5 


54 


6255 


63o 9 


6363 


64i6 


6470 


6523 


5 


55 


7021 


7076 


7 l32 


7187 


7242 


7297 


4 


55 


65 77 


663o 


6684 


6 7 3 7 


6791 


6845 


4 


56 


7352 


7407 


7 462 


7 5i 7 


7 5 7 2 


7627 


3 


56 


6898 


6 9 5 2 


7oo5 


7059 


7112 


7166 


3 


57 


7682 


7737 


7792 


7 84 7 


79 3 


79 58 


2 


57 


7 2I 9 


7273 


7326 


7 38o 


7433 


748 7 


2 


58 


8oi3 


8068 


8i23 


8178 


8233 


8288 


I 


58 


y54o 


759^ 


7647 


7701 


77 54 


7 8o8 


I 


5 9 


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83 9 8 


8453 


85o8 


8563 


8618 


O 


5 9 


7861 


79 i5 


7968 


8021 


8075 


8128 







60" 


50" 


40" 


30" 1 20" 


10" 


. 




60" 


50" 


40" 


30" 


20" 


10" 


j 




Co-tangent of 65 Degrees. 


a 




Co-tangent of 64 Degrees. 


s 


r !// 2 // 3 // 4 // 5 // 6 // 7 // 8 " 9" 


( 1" 2" 3" 4" 5" 6" 7" 8" 9" 


in { 6 11 17 22 28 33 39 45 50 


art { 5 11 16 22 27 33 38 43 49 



50 



LOGAIIIHMIC SINES. 



.9 


Sine of 26 D -grees. 




d 


Sine of 27 Degrees. 




I 


0" 


10"p 20"p 1 0" ' 40" J NV' 




3 


0" 


10' H 


20" 


30" | 40" 


50" 




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9.641842 


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9 . 667047 


7068 


7129 


7 I 7 I 


7 2I2 


7253 


5 9 


I 


2101 


2144 2187:2230 2273 


23 7 


58 


I 


7295 7336 


7 3 77 


74i8 


7 46o 


7 5oi 


58 


2 


236o 


24o3 2446 2489 2532 


25 * 


5 7 


2 


7542 


7 58.i 


7 6 2 5 


7666 7707 


7749 


57 


3 


2618 


2661 2704 2747 2790 


28;' i 


56 


3 


779 


7 83i 


7 8 7 2 


79i3J7 9 55 


7996 


56 


4 


2877 


2920 2963 j3oo63o49 


3oc. 


55 


4 


8o3 7 


8o 7 8 


8119 


8161 


8202 


8243 


55 


5 


3i35 


3l78 3221 


3 2 6433o 7 i33!,o 


54 


5 


8284 


83 2 5 


836 7 


84o8 


8449 


8490 


54 


6 


33 9 3 


34363479 


35223565 


36o 7 


53 


6 


853i 


85 7 2 


86i3 


8655 


8696 


8 7 3 7 


53 


7 


365o 


36933736 


3779 3822 


3865 


52 


7 


8778 


8819 


8860 


8901 


8942 


8983 


52 


8 
9 


3908 
4x65 


3 9 5i 3 99 4 
42084261 


4o374o8o4i23 
42 9 4!433 7 i438o 


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8 
9 


9025 
9271 


9066 
9312 


9i<>7 
9 353 


9i48 
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9189 
9 435 


9230 
9476 


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10 


9.644423 


4465 45o8 


455i ^5 9 4 


463 7 


49 


10 


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9558 


9 5 99 


9640 


9681 


9722 


4 9 


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468o 


4722 4765 


48o8485i 


48 9 4 


48 


II 


97 63 


9 8o4 


9 845 


9886 


99 2 7 


9968 


48 


12 


4 9 36 


4979 5O22 


5o65 


5io8 


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9.66ooo 9 


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0091 


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532i 


5364 


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46 


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0255 


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o3 7 8 


0419 


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46 


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545o 


54925535 


55 7 8 


5620 


5663 


45 


i4 


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0623 


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45 


16 


5706 


5 7 495 79 i 


5834 


58 77 


5 9 i 9 


44 


i5 


o 7 46 


0787 


0828 


0869 


0909 


0960 


44 


16 


5962 


6oo5 6047 


6090 


6:33 


6i 7 5 


43 


16 


o 99 i 


1032 


io 7 3 


1 1 14 


u54 


1 195 


43 


7 


6218 


6260 63o3 


6346 


6388 


643i 


42 


l l 


1236 


1277 


i3i8 


i35 9 


l3 99 


i44o 


42 


18 


6474 


65i6655 9 


6601 


6644 


6686 


4i 


18 


i48i 


l522 


i563 


i6o3 


1 644 


i685 


4i 


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6729 


67726814 


685 7 


6899 


6 9 42 


4o 


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1-726 


1766 


i8o 7 


1 848 


1889 


1929 


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20 


9.646984 


7027 7069 


71 12 


7i54 


7i 97 


3 9 


20 


9.66i 97 o 


201 I 


2O52 


2092 


2i33 


2174 


3 9 


21 


7240 


7282 7325 


7 36 7 


7409 


7452 


38 


21 


2214 


2255 


2296 


233 7 


2 3 77 


2418 


38 


22 


7494 


75377579 


7622 


7 664 


7707 


37 


22 


2 45 9 


2499 


254o 


2 58i 


2621 


2662 


37 


23 


7749 


7792 7 834 


7877 


7919 


7 9 6i 


36 


23 


2 7 o3 


2743 


2 7 84 


2825 


2865 


2906 


36 


24 


8oo4 


8o46 8089 


8i3i 


8173 


8216 


35 


24 


2946 


2987 


3o 2 8 


3o68 


3109 


3i49 


35 


25 


8258 


83oi 8343 


8385 


8428 


8470 


34 


25 


3190 


323i 


32 7 I 


33i2 


3352 


33 9 3 


34 


26 


85i2 


855585 97 


863 9 


8682 


8724 


33 


26 


3433 


34 7 4 


35i5 


3555 


35 9 6 


3636 


33 


27 


8766 


8809 885i 


88 9 3 


8936 


8978 


32 


27 


36 77 


3 7 i 7 


3 7 58 


3 79 8 


383 9 


38 79 


32 


28 


9020 


9063 9105 


9147 


9189 


9232 


3i 


28 


3920 


3960 


4ooi 


4o4i 


4082 


4l22 


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29 


9274 


93169358 


94oi 


9443 


9 485 


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29 


4i63 


4203 


4244 


4284 


4325 


4365 


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3o 
3i 


9.649527 
9781 


9570 9612 
98239865 


9 654 
9907 


9 6 9 6 97 3 9 
9949999 2 


29 

28 


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9.6644o6 
4648 


4446 
4689 


4486 

4 7 2 9 


452 7 
4769 


456 7 
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46o8 

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2 9 

28 


32 


9.65oo34 


0076 01 18 


0160 


0202 O245. 


27 


32 


4891 


493i 


4g 7 i 


5012 


5o5 2 


5o 9 3 


27 


33 


0287 


0329 0371 


o4i3 


o455 o4 9 7 


26 


33 


5i33 


5i 7 3 


5 2 i4 


5 2 54 


5 29 4 


5335 


26 


34 


o53 9 


o582 0624 


0666 


0708 


0750 


25 


34 


53 7 5 


54i5 


5456 


5496 


5536 


55 77 


25 


35 


0792 


o834 0876 


0918 


0960 


1 002 


24 


35 


56i 7 


565 7 


56 97 


5 7 38 


5 77 8 


58x8 


24 


36 


io44 


1086 1128 


1171 


I2l3 


1255 


23 


36 


5859 


58 99 


5 9 3 9 


5 979 


6020 


6060 


23 


3? 


1297 


1339 i38i 


i423 


i465 i5o7 


22 


37 


6100 


6i4o 


6181 


6221 


6261 


63oi 


22 


38 


1 549 


i5 9 i i633 


i6 7 5 


1716 1758 


21 


38 


6342 


6382 


6422 


6462 


65o2 


6543 


21 


3 9 


1800 


1842 1884 


1926 


1968 20IO 


20 


3 9 


6583 


6623 


6663 


6 7 o3 


6 7 43 


6 7 84 


2O 


4o 


9.652o52 


2094 2 1 36 


2178 


2220 2262 


J 9 


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9.666824 


6864 


6904 


6 9 44 


6 9 84 


7 025 


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4i 


a3o4 


2345 2387 


2429 


2471 25i3 


18 


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7 o65 


7 io5 


7i45 


7 i85 


7225 


72 65 


18 


42 


2555 


25972638 


2680 


2722 2764 


17 


42 


7 3o5 


7 346 


7 386 


7426 


7 466 


7 5o6 


17 


43 


2806 


2848 2890 


2931 


2973 3oi5 


16 


43 


7546 


7 586 


7 626 


7666 


7706 


77 46 


16 


44 


3o5 7 


3099 3 1 4o 


3i8 2 


32243266 


16 


44 


7786 


7826 


7 866 


7906 


7946 


79 86 


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45 


33o8 


33493391 


3433 


347535i6 


i4 


45 


8027 


8067 


5io 7 


8r4 7 


8i8 7 


822 7 


i4 


46 


3558 


36oo 3642 


3683 


37253767 


i3 


46 


8267 


83o 7 


834 7 


8386 


8426 


8466 


i3 


47 


38o8 


385o38 9 2 


3 9 34 


3976 4017 


12 


47 


85o6 


8546 


8586 


8626 


8666 


8 7 o6 


12 


48 


4059 


4ioo 4*42 


4i84 


42254267 


I I 


48 


8 7 46 


8786 


8826 


8866 


8906 


8 9 46 


II 


49 


43o 9 


435o;43 9 2 


4434 


44 7 545i 7 


IO 


49 


8986 


9026 


9 o65 


9io5 


9i45 


9 i85 


IO 


5o 


9.654558 


46oo 4642 


4683 


4 7 254 7 66 


9 


5o 


9.669225 


9 265 


9 3o5 


9 345 


9 384 


9 424 


9 


5i 


48o8 


48504891 


4933 


4974 5oi6 


8 


5i 


9464 


9 5o4 


9 544 


9 584 


9624 


9 663 


8 


52 


5o58 


6099 5i4i 


5i8 2 


52245265 


7 


52 


97 o3 


9743 


9783 


9823 


9862 


99 02 


7 


53 


53o 7 


534853 9 o 


543 1 


547355i4 


6 


53 


99 42 


9982 


. .22 


..61 


.101 


.i4i 


6 


54 


5556 


55 97 563 9 


568o 


5722 5763 


5 


54 


9 . 670181 


022O 


0260 


o3oo 


o34o 


o3 79 


5 


55 


58o5 


58465888 


5 9 2 9 


5971 6012 


4 


55 


o4i 9 


o45 9 


0499 


o538 


o5 7 8 


0618 


4 


56 


6o54 


6096 6i36 


6178 


6219 6261 


3 


56 


o658 


0697 


o 7 3 7 


0777 


0816 


o856 


3 


57 


63o2 


63446385 


6426 


6468 65o 9 


2 


57 


o8 9 6 


o 9 35 


o 97 5 


ioi5 


io54 


io 9 4 


2 


58 


655i 


65 9 26633 


66 7 5 


67166757 


I 


58 


n34 


n 7 3 


I2l3 


1253 


1292 i332 


I 


5 9 


6799 


684o!688i 


6923 


6964 7005 


O 


5 9 


1372 


i4 1 1 


i45i 


1490 


i53o 1670 







60" 


40" | 30" 


20" j 10" 


a 




60" 


50" 


40" 


30" 


20" 10" 


a 




Co-sine of 63 Degrees. 


i 




Co-sine of 62 Degrees. 


1 


P Part 5 !" 2// 3// 4// 5 " 6 " 7" 8' 9" 


p p .(!" 2" 3" 4" 5" 6" 7" 8" 9" 


I 4 8 13 17 21 25 30 34 38 


{T I 4 8 12 16 20 24 28 32 36 



LJGARITHMIC TANGENTS. 



.3 


Tangent of 26 Degrees. 







Tangent of 27 Degrees. 




SI 


0" 


10" 


20" 


30" 


40" 50" 




S 


0" 


10" 


20" 


30" 


40" 50" 




o 


9.688182 


8235 


828 9 


8342 


83 9 5 


8449 


5 9 


o 


9.707166 


-7218 


7 2 7 


7322 


7374 7426 


69 


i 


85o2 


8556 


86o 9 


8663 


8 7 i6 


8 7 6 9 


58 


I 


7478 


7 53o 


7 582 


7634 


7686 


77 38 


58 


2 


8823 


8876 


8 9 3o 


8 9 83 


9 o36 


9 o 9 o 


57 


2 


779 


7 842 


7 8 9 4 


79-46 


799 8 


8o5o 


5 7 


3 


9i43 


9196 


9 25o 


9 3o3 


9 356 


9 4io 


56 


3 


8102 


8i54 


8206 


8 2 58 


83io 


8362 


56 


4 


9 463 




9 5 7 


9 623 


9676 


97 3o 


55 


4 


84i4 


8466 


85i8 


85 7 o 


8622 


86 7 4 


55 


5 


9783 


9 836 


9890 


99 43 


999 6 


..5o 


54 


5 


8726 


8778 


883o 


8882 


8 9 34 


8 9 85 


54 


6 


9.690103 


oi56 


02IO 


0263 


o3i6 


o36 9 


53 


6 


9 o3 7 


9089 


9 i4i 


9 ! 9 3 


9 245 


9297 


53 


7 


o423 


0476 


0529 


o582 


o636 


0689 


52 


7 


9 34 9 


9401 


9 453 


9 5o4 


9 556 


9608 


52 


8 


7 42 


o 79 5 


0849 


9 02 


o 9 55 


1008 


5i 


8 


9 66o 


9712 


97 64 


9 8i6 


9 868 


9919 


5i 


9 


IO62 


iu5 


1168 


1221 


1274 


i3 2 8 


5o 


9 


997 i 


..23 


.. 7 5 


.127 


.179 


.231 


5o 


10 


9.6 9 i38i 


i434 


i48 7 


i54o 


i5 9 4 


i64 7 


49 


10 


9 . -710282 


o334 


o386 


o438 


0490 


o542 


49 


ii 


I 7 00 


1753 


1806 


i85 9 


I 9 i3 


1966 


48 


II 


o5 9 3 


o645 


o6 97 


o 7 4 9 


0801 


o852 


48 


12 


2019 


2072 


2125 


2178 


2232 


2285 


47 


12 


o 9 o4 


0956 


1008 


io5 9 


mi 


n63 


47 


i3 


2338 


23 9 I 


2444 


24 9 7 


2 55o 


2 6o3 


46 


i3 


I2l5 


1267 


i3i8 


i3 7 o 


l422 


i474 


46 


i4 


2656 


2710 


2 7 63 


2816 


2860. 


2922 


45 


i4 


i5 2 5 


i5 77 


i62 9 


1681 


1732 


1784 


45 


i5 


2 97 5 


3028 


3o8i 


3i34 


3i8 7 


324o 


44 


i5 


i836 


1887 


i 9 3 9 


1991 


2043 


2094 


44 


16 


32 9 3 


3346 


34oo 


3453 


35o6 


3559 


43 


16 


2 1 46 


2198 


224 9 


2301 


2353 


24o5 


43 


J 7 


36i2 


3665 


3 7 i8 


3 77 i 


3824 


38 77 


42 


17 


2456 


2608 


2 56o 


2611 


2663 


2 7 l5 


42 


18 


3 9 3o 


3 9 83 


4o36 


4o8 9 


4i42 


4i95 


4i 


18 


2-766 


2818 


28 7 


2921 


2973 


3o25 


4i 


i 9 


4248 


43oi 


4354 


4407 


446o 


45i3 


4o 


'9 


3o 7 6 


3i28 


3i 79 


323i 


3283 


3334 


4o 


20 


9.694566 


46i 9 


46 7 2 


4724 


4777 


483o 


3 9 


20 


9 . 7 i3386 


3438 


348 9 


354i 


35 9 2 


3644 


39 


21 


4883 


4936 


4989 


5o42 


5o 9 5 


5i48 


38 


21 


36 9 6 


3 7 4 7 


3 799 


385o 


3 9 02 


3 9 54 


38 


22 


5201 


5 2 54 




536o 


54i2 


5465 


37 


22 


4oo5 


4o5 7 


4io8 


4i6o 


4211 


4263 


37 


23 


55i8 


55 7 i 


5624 


5677 


5 7 3o 


5 7 83 


36 


23 


43i4 


4366 


44i8 


446 9 


452i 


45 7 2 


36 


24 


5836 


5888 


5g4i 


5 99 4 


6o4 7 


6100 


35 


24 


4624 


46 7 5 


4 7 2 7 


4 77 8 


483o 


488 1 


35 


25 


6i53 


6206 


6258 


63n 


6364 


6417 


34 


25 


4 9 33 


4984 


5o36 


5o8 7 


5i3 9 


5i 9 o 


34 


26 


64 7 o 


6522 


65 7 5 


6628 


6681 


6 7 34 


33 


26 


5242 


5293 


5345 


53 9 6 


5448 


54 99 


33 


27 


6787 


6839 


68 9 2 


6 9 45 


6 99 8 


7o5o 


32 


27 


555i 


56o2 


5654 


5 7 o5 


5 7 5 7 


58o8 


32 


28 


7 io3 


7 i56 


7 20 9 


7262 


7 3i4 


7 36 7 


3i 


28 


586o 


5911 


5 9 62 


6oi4 


6o65 


6117 


3i 


29 


7 420 


7 4 7 3 


7 5 2 5 


7 5 7 8 


7 63i 


7 684 


3o 


2 9 


6168 


6220 


62-71 


6322 


63 7 4 


6425 


3o 


3o 


9 .6 977 36 


7789 


7 842 


7 8 9 4 


7947 


8000 


29 


3o 


9 . 7 i64 77 


6528 


65 79 


663i 


6682 


6 7 34 


2 9 


3i 


8o53 


8io5 


8i58 


8211 


8263 


83i6 


28 


3i 


6 7 85 


6836 


6888 


6 9 3 9 


6991 


7 o42 


28 


32 


836 9 


8421 


84 7 4 


8627 


85 79 


8632 


2 7 


32 


. 7093 


7i45 


7 i 9 6 


7247 


7299 


7 35o 


2 7 


33 


8685 


8737 


8 79 o 


8843 


8895 


8 9 48 


26 


33 


7 4oi 


7 453 


7 5o4 


7 555 


7 6o 7 


7 658 


26 


34 


9 ooi 


9o53 


9 io6 


9 l5 9 


9211 


9264 


25 


34 


779 


77 6i 


-7812 


7 863 


79 i5 


79 66 


25 


35 


9 3i6 


9 36 9 


9 422 


9 4 7 4 


9 52 7 


95-79 


24 


35 


80 1 7 


8069 


8120 


8171 


8223 


82 7 4 


24 


36 


9 632 


9685 


97 3 7 


979 


9 842 


9895 


23 


36 


83 2 5 


83 7 6 


8428 


8479 


853o 


858i 


23 


3? 


__ /_ 




53 


9 f 

. IOD 


!i58 


.210 


22 


37 


8633 


8684 


8 7 35 


8786 


8838 


888 9 


22 


** / 

38 


9 . -700263 


o3i5 


o368 


0420 


o4 7 3 


o5 2 5 


21 


/ 

38 


8 9 4o 


8991 


w / 

9 o43 


/ 

9094 


9i45 


r 

9196 


21 


39 


o5 7 8 


o63o 


o683 


o 7 36 


o 7 88 


0841 


20 


3 9 


02.4.0 


9 2 99 


9 35o 




9 45 2 


9 5o4 


20 


4o 


9 . 7 oo8 9 3 


o 9 46 


0998 


io5i 


no3 


n55 


I 9 


4o 


9.719555 


9 6o6 


9 65 7 


97 o8 


9 7 6o 


9811 


19 


4i 


1208 


1260 


i3i3 


i365 


i4i8 


i4 7 o 


18 


4i 


9 862 


99 i3 


9964 


..16 


..67 


.118 


18 


42 


i5 2 3 


i5 7 5 


1628 


1680 


i 7 33 


i 7 85 


7 


42 


9 . 720160, 


022O 


O2 7 I 


O322 


o3 7 4 


o425 


17 


43 


i83 7 


i8 9 o 


1942 


i 99 5 


204 7 


2IOO 


16 


43 


0476 


0527 


o5 7 8 


0629 


0680 


7 32 


16 


44 


2l52 


22O4 


225 7 


23o 9 


2362 


24i4 


i5 


44 


o 7 83 


o834 


o885 


0936 


o 9 8 7 


io38 


i5 


45 


2466 


25l 9 


25 7 I 


2623 


26-76 


2-728 


i4 


45 


io8 9 


n4o 


1191 


1243 


1294 


i345 


i4 


46 


2 7 8l 


2833 


2885 


2 9 38 


2 99 


3o42 


i3 


46 


i3 9 6 


i447 


1498 


I 549 


1600 


i65i 


i3 


47 


3o 9 5 


3i4 7 


3i 99 


3252 


33o4 


3356 


12 


47 


i -702 


I7 53 


i8o4 


i855 


1906 


i 9 5 7 


12 


48 


34o 9 


346i 


35i3 


3566 


36i8 


36 7 o 


I I 


48 


200 9 


2060 


2III 


2162 


22l3 


2264 


II 


49 


3722 


3 77 5 


382 7 


3879 


3 9 32 


3 9 84 


IO 


49 


23 1 5 


2366 


24l7 


2468 


2519 


25 7 


10 


5o 


9 .7o4o36 


4o88 


4i4i 


4i93 


4245 


4297 


9 


5o 


9. -722621 


26-72 


2723 


2 77 4 


2825 


28 7 6 


9 


5i 


435o 


4402 


4454 


45o6 


455 9 


46n 


8 


5i 


292 7 


2 97 8 


3o2 9 


3o8o 


3i3o 


3i8i 


8 


52 


4663 


4 7 i5 


4 7 68 


4820 


48 7 2 


4924 


7 


52 


3232 


3283 


3334 


3385 


3436 


348 7 


7 


53 


4 97 6 


5o2 9 


5o8i 


5i33 


5i85 


523 7 


6 


53 


3538 


358 9 


364o 


3691 


3 7 42 


3 79 3 


6 


54 


52 9 o 


5342 


53 9 4 


5446 


54 9 8 


555i 


5 


54 


3844 


38 9 5 


3 9 45 


3 99 6 


4o4 7 


4o 9 8 


5 


55 


56o3 


5655 


5707 


5 7 5 9 


58n 


5863 


4 


55 


4i49 


4200 


425i 


4302 


4353 


44o3 


4 


56 


5 9 i6 


5 9 68 


6020 


6o 7 2 


6124 


6176 


3 


56 


4454 


45o5 


4556 


46o 7 


4658 


4 7 Q9 


3 


57 


6228 


6280 


6333 


6385 


643 7 


6489 


2 


5 7 


4 7 6o 


48io 


486i 


4 9 I2 


4963 


5oi4 


2 


58 


654i 


65 9 3 


6645 


66 97 


6 7 49 


6801 


I 


58 


5o65 


5u5 


5i66 


52i 7 


5268 


53i 9 


I 


5 9 


6854 


6 9 o6 


6 9 58 


-7010 


-7062 


7114 


O 


5 9 


53 7 o 


5420 


547i 


5522 


5573J5624 


O 




60" 


50" 


40" 


30" 


20" 


10" 


. 




60" 


50" 


40" 


30" 


20" 10" 


^ 




Co-tangent of 63 Degrees. 


S 




Co-tangent of 62 Degrees. 


s 


p p A I" 2" 3" 4" 5" 6" 7" 8" 9" 


( V 2" 3" 4" 5" 6" 7" 8" 9" 


I 5 11 16 21 26 32 37 42 47 


ar > 5 10 15 21 26 31 36 41 46 



52 



LOGARITHMIC SINES. 



d 


Sine of 28 Degrees. 




g 


Sine of 29 Degrees. 




s 


0" 


10" 


20" 


30" 


40" 


50" 




9 


0" 


10" 20" 30" l 40" 


50" 







9.671609 


1649 


1688 


I 7 28 


i 7 68 


i8o 7 


5 9 


o 


9 .6855 7 i 


56o 9 5647 


5685 


5 7 23 


5 7 6i 


5 9 


I 


i847 


1886 


1926 


i 9 65 


2005 


2o45 


58 


I 


5 799 


5837 


5875 


5 9 i3 


5 9 5i 


5 9 8 9 


58 


2 


2084 


2124 


2i63 


2203 


2242 


2282 


5 7 


2 


6o2 7 


6o65 


6io36i4i 


6i 7 8 


6216 


57 


3 


2321 


236i 


2400 


2440 


24 7 9 


2519 


56 


3 


6254 


6292 


633o ! 6368 


64o6 


6444 


56 


4 


2558 


2598 


2637 


26 77 


2 7 l6 


2 7 56 


55 


4 


6482 


6519 


655 7 


65 9 5 


6633 


66 7 i 


55: 


5 


2795 


2835 


2874 


2914 


2 9 53 


2992 54 


5 


6 7 o 9 


6 7 4 7 


6 7 85 


6822 


6860 


68 9 8 


54 ; 


6 


3o32 


3071 


3m 


3i5o 


3190 


322953 


6 


6 9 36 


6 97 4 


7 OI2 


7 o4 9 


7 o8 7 


7 I25 


53 


7 


3268 


33o8 


334? 338 7 


3426 


3465 52 


7 


7 i63 


7201 


7 238 


7276 


7 3i4 


7 352 


52 


8 


35o5 


3544 


3583 3623 


3662 3 7 02 5i 


8 


7 38 9 


7427 


7 465 


75o3 


7 54i 


7 5 7 8 


5ii 


9 


3 7 4i 


3780 


38203859 


38 9 83 9 38 


5o 


9 


7616 


7654 


7 6 9 2 


7729 


77 6 7 


7 8o5 


5o 


10 


9.673977 


4oi6 


4o56 4095 


4i34'4i 7 3 


49 


10 


9 . 687843 


7880 


79 i8 


79 56 


7993 


8o3i 


49 


ii 


42l3 


4252 


4291 


433i 


43 7 o'44o 9 


48 


ii 


8o6 9 


8106 


8i44 


8182 


8220 


825 7 


48 


12 


4448 


4488 


45274566 


46o64645 


47 


12 


82 9 5 


8333 


83 7 o 


84o8 


8446 


8483 


47 


i3 


4684 


4723 


4762:4802 


484i 488o 


46 


i3 


852i 


855 9 


85 9 6 


8634 


86 7 i 


8 7 o 9 


46 


i4 


4919 


4959 


4998:5037 


5o 7 6 5n5 


45 


i4 


8 7 47 


8 7 84 


8822 


8860 


88 97 


8 9 35 


45 


i5 


5i55 


5i94 


52335272 


53n 


535o 


44 


i5 


8 97 2 


9010 


9 o48 


9 o85 


9 I23 


9 i6o 


44 


16 


5390 


5429 


5468 55o 7 


5546 5585 


43 


16 


9 i 9 8 


9235 


9 2 73 


9 3n 


9 348 


9 386 


43 


J 7 


5624 


5664 


5 7 o35 7 42 


5 7 8i 5820 


42 


*7 


9 423 


9461 


9498 


9 536 


9 5 7 3 


9 6n 


42 


18 


585 9 


58 9 8 


5 9 3 7 5 97 6 


6016 6o55 


4i 


18 


9 648 


9686 


9723 


97 6i 


979 8 


9 836 


4i 


19 

20 


60946133 
9 .6 7 63 2 8636 7 


6172 621 1 
64o66445 


625o 6289 
64846523 


4o 
3 9 


*9 

20 


9 8 7 3 
9.600098 


9911 
oi36 


9948 
0173 


9986 

02 I I 


..23 

0248 


..61 
0286 


4o 
3 9 


21 


656266oi 


664o 6679 


6 7 i86 7 5 7 


38 


21 


'o323 


o36i 


o3 9 8 


o435 


o4 7 3 


o5io 


38 


22 


6 79 66835 


68746913 


6952 6991 


37 


22 


o548 


o585 


0622 


0660 


o6 97 


o 7 35 


37 


23 


7o3o 


7069 


71087147 


7 i86 7 225 


36 


23 


0772 


0809 


0847 


o884 


9 22 


o 9 5 9 


36 


24 


7264 


73o3 


7342 7381 


7420 -7459 


35 


24 


0996 


io34 


1071 


no8 


n46 


n83 


35 


25 


7498 


7 536 


7 5 7 5 7 6i4 


7 653 7 6 9 2 


34 


25 


1220 


1258 


I2 9 5 


i33 2 


i3 7 o 


i4o 7 


34 


26 


773i 


777 


78097848 


7 886 792 5 


33 


26 


1 444 


1482 


i5i 9 


i556 


i5 9 4 


i63i 


33 


27 


79 6 4 


8oo3 


80428081 


8i2o8i58 


32 


2 7 


1668 


1706 


1743 


i 7 8o 


i8i 7 


i855 


32 


28 


8197 


8236 


8 27 5^83i4 


8353 83 9 i 


3i 


28 


1892 


1929 


i 9 66 


2004 


2041 


20 7 8 


3i 


29 


843o 


846 9 


85o8854 7 


85858624 


3o 


2 9 


2Il5 


2i53 


2I 9 O 


222 7 


2264 


2302 


3o 


3o 
3i 


9.678663 
88 9 5 


8702 
8 9 34 


87408779 
8973 9012 


88i8|885 7 
goSo 9089 


2 9 

28 


3o 
3i 


9.692339 
i562 


23 7 6 
2 5 99 


24i3 
2636 


245o 
2 6 7 4 


2488 

2 7 II 


2525 

2 7 48 


2 9 

28 


32 


9128 


9167 


9205 9244 


9 283 


9 32I 


2 7 


32 


2 7 85 


2822 


285 9 


2 8 97 


2 9 34 


2 97 I 


2 7 


33 9360 


9 3 99 


94389476 


95i5 


9 554 


26 


03 


3oo8 


3o45 


3o82 


3119 


3i5 7 


3i 9 4 


26 


34 9692 


963i 


9670 9708 


9747 


97 86 


25 


34 


323i 


3268 


33o5 


3342 


33 79 


34i6 


25 


35 9824 


9863 


99029940 


9979 


..17 


24 


35 


3453 


3490 


35 2 8 


3565 


36o2 363 9 


24 


369.68oo56 


0095 


oi33 0172 0210 


0249 


23 


36 


3676 


3 7 i3 


3 7 5o 


3787 


3824 


386i 


23 


3? 


0288 


o326 


o365 o4o3 0442 o48i 


22 


37 


38 9 8- 


3 9 35 


3972 


4009 


4o46 


4o83 


22 


38 


o5ig 


o558 


o5 9 6orns 06730712 


21 


38 


4l2O 


4i5 7 


4194 


423i 


4268 43o5 


I 


Sg 1 o 7 5o 


0789 


0828 0866 0905 0943 


2O 


39 


4342 


43 79 


44i6 


4453 


44 9 o452 7 


2O 


409.680982 


IO2O 


io5 9 1097 


u36 


n 7 4 


'9 


4o 


9 .6 9 4564 


46oi 


4638 


46 7 5 


4 7 . 2 4 7 4 9 


'9 


4i I2i3 


I25l 


1290 i328 i366 


i4o5 


18 


4i 


4786 


4823 


486o 


4897 


4934497> 


i a 


42 i443 


1482 


l520 


iSSg i59 7 


i636 


17 


42 


5007 


5o44 


5o8i 


5n8 


5i55'5i 9 2 


17 


431 1674 


I 7 i3 


1751 


1789 


1828 


1866 


16 


43 


522 9 


5266 


53o3 


5339 


53 7 6 


54i3 


16 


44 1905 


1943 


1981 


2O2O 


2o58 


20 97 


i5 


44 


545o 


548 7 


5.524 


556i 


55 9 8 


5634 


i5 


45 2i35 


2173 


2212 


225o 


2288 


232 7 


i4 


45 


56 7 i 


5 7 o8 


5 7 45 


5 7 8258i9 


5855 


i4 


46 2365 


24o3 


2442 


2480 2519 


255 7 


i3 


46 


58 9 2 


5 9 2 9 


5 9 66 


6oo3 6039 


6o 7 6 


i3 


4 7 2595 


2633 


2672 


2710 2748 


2 7 8 7 


12 


47 


6n3 


6i5o 


6187 


6223 6260 


62 97 


12 


48: 2825 


2863 


2902 


2940 2978 


3oi6 


II 


48 


6334 


6370 


6407 


6444i648i 


65i 7 


II 


49 3o55 


3o 9 3 


3i3i 


3170 3208 


3246 


IO 


49 


6554 


65 9 i 


6628 


6664'6 7 oi 


6 7 38 


10 


509.683284 


3323 


336i 


33 99 343 7 


34 7 5 


9 


5o 


9 .6 9 6 77 5 


6811 


6848 


6885 


6 9 2I 


6 9 58 


9 


5i 35i4 


3552 


3590 


3628 366 7 


3 7 o5 


8 


5i 


6 99 5 


7o3i 


7068 


7 io5 


7 i4i 


7178 


8 


52! 3y43 


3 7 8i 


38i 9 


3858 38 9 6 


3 9 34 


7 


52 


7 2l5 


725i 


7288 


7 3 2 5 


7 36i 


7398 


7 


53i 3972 


4oio 


4o48 


40874125 


4i63 


6 


53 


7435 


7471 


7 5o8 


7 545 


7 58i 


7 6i8 


6 


54 4201 


4239 


4277 


43i54353 


43 9 2 


5 


54 


7 654 


7 6 9 i 


7728 


77 64 


7 8oi 


7 838 


5 


55j 443o 


4468 


45o6 


45444582 


4620 


4 


55 


7 8 7 4 


79 n 


7947 


7 9 84 8020 


8o5 7 


4 


56 4658 


46 9 6 


4 7 35 


477348ii 


4849 


3 


56 


8o 9 4 


8i3o 


8167 


82038240 


82 7 6 


3 


5 7 4887 


4925 


4963 


5ooi|5o39 


5o 77 


2 


57 


83i3 


834 9 


8386 


8423 845 9 


84 9 6 


2 


58 


5n5 


5i53 


5191 


5229^267 


53o5 


I 


58 


8532 


856 9 


86o5 


8642 86 7 8 


8 7 i5 


I 


5 9 


5343 


538i 


54i9 


545 7 5495 


5533 





5 9 


8 7 5i 


8788 


8824 


886i|88 97 


8 9 34 







60" 


50" 


40" 


30" 20" 


10" 


c 




60" 


50" 


40" 


30" 20" 


10" 


a 




Co-sine of 6 1 Degrees. 







Co-sine of 60 Degrees. 


i 


t < \" 2" 3" 4" 5" 6" 7" 8" 9" 
in \ 4 8 12 16 19 23 27 31 35 


p p . < 1" 2" 3" 4" 5" 6" 7" 8" 9" 
irt } 4 7 11 15 19 22 26 30 33 



LOGARITHMIC TANGENTS. 



53 



1 


Tangent of 28 Degrees. 




c 


Tangent of 29 Degrees. 




s 


0" 


10" 


20" 


30" 


40" 


50" 




9 


0" 


10" 


20" 


30" 


40" 


50" 




o 


9.725674 


5 72 5 


5 77 6 


5827 


58 7 8 


5 9 28 


5 9 





9 . 7 43 7 52 


3802 


385i 


3 9 oi 


3 9 5i 


4ooo 


5 9 


I 


5 979 


6o3o 


6081 


6i3i 


6182 


6233 


58 


I 


4o5o 


4o 99 


4i4 9 


4i 99 


4248 


42 9 8 


58 


2 


6284 


6334 


6385 


6436 


648 7 


653 7 


5 7 


2 


4348 


43 97 


444 7 


44 9 6 


4546 


45 9 6 


5 7 


r 
C 


6588 


663 9 


66 9 o 


6 7 4o 


6791 


6842 


56 


/; 


4645 


46 9 5 


4744 


4794 


4844 


48 9 3 


56 


i. 


6892 


6 9 43 


6 99 4 


7 o45 


79 5 


7i46 


55 


4 


4943 


4 99 2 


5o42 


5o 9 2 


5i4i 


5i 9 i 


55 


t 


7197 


7247 


72 9 8 


7 34 9 


7 3 99 


745o 


54 


c 


524o 


52 9 o 


533 9 


538 9 


543 9 


5488 


54 


6 


75oi 


7 55i 


7602 


7 653 


77 3 


77 54 


53 


6 


5538 


558 7 


563 7 


5686 


5 7 36 


5 7 85 


53 


7 


76o5 


7 855 


7 9 o6 


79 5 7 


8007 


8o58 


52 


7 


5835 


5884 


5 9 34 


5 9 83 


6o33 


6082 


5 2 


8 


8109 


8i5 9 


8210 


8261 


83n 


836 2 


5i 


8 


6i32 


6182 


623i 


6281 


633o 


638o 


5i 


9 


8412 


8463 


85i4, 


8564 


86i5 


8665 


5o 


9 


6429 


64 79 


6528 


65 77 


6627 


66 7 6 


5o 


10 


9.728716 


8767 


8817 


8868 


8918 


8969 


49 


IO 


9.746726 


6 77 5 


68 2 5 


68 7 4 


6 9 24 


69'/3 


4 9 


ii 


9020 


9070 


9 I2I 


9171 


9222 


9272 


48 


ii 


7023 


7 7 2 


7122 


7171 


7221 


7 2 7 


48 


12 


9323 


9 3 7 4 


9 424 


9 4 7 5 


9 5 2 5 


9 5 7 6 


47 


12 


7 3i 9 


7 36 9 


7 4i8 


7 468 


7517 


7 56 7 


47 


i3 


9626 


9677 


9727 


9778 


9 828 


9879 


46 


i3 


7616 


7 665 


77 i5 


7764 


7814 


7 863 


46 


i4 


9929 


99 8o 


..3o 


..81 


.132 


.182 


45 


i4 


79 i3 


79 62 


8011 


8061 


8110 


8160 


45 


i5 


9. 7 3o233 


0283 


o333 


o384 


0434 


o485 


44 


i5 


820 9 


8 2 58 


83o8 


835 7 


84o6 


8456 


44 


16 


o535 


o586 


o636 


0687 


0737 


0788 


43 


16 


85o5 


8555 


86o4 


8653 


8 7 o3 


8 7 52 


43 


i? 


o838 


o88 9 


o 9 3 9 


99 


io4o 


1091 


42 


!7 


8801 


885i 


8 9 oo 


8 9 4 9 


8999 


9 o48 


42 


18 


n4i 


u 9 i 


1242 


I2 9 2 


1 343 


i3 9 3 


4i 


18 


997 


9 i4 7 


9 i 9 6 


9 245 


9295 


9 344 


4i 


J 9 


i444 


i4 9 4 


1 544 


i5 9 5 


1645 


i6 9 6 


4o 


T 9 


9 3 9 3 


9 443 


9 4 9 2 


9 54i 


95 9 i 


9 64o 


4o 


20 


9.73i746 


i7 9 6 


1847 


i8 97 


i 9 48 


i 99 8 


3 9 


20 


9 -74 9 68 9 


9739 


97 88 


9 83 7 


9886 


99 36 


3 9 


21 


2048 


2o 99 


2l4 9 


2200 


2250 


23oo 


38 


21 


99 85 


..34 


..84 


.133 


.182 


.23l 


38 


22 


2 35i 


2401 


245 1 


2502 


2552 


2602 


37 


22 


9 . 750281 


o33o 


o3 79 


0428 


0478 


o52 7 


37 


23 


2653 


2703 


2 7 53 


28o4 


2854 


2 9 o4 


36 


23 


o5 7 6 


o6 2 5 


o6 7 5 


0724 


o 77 3 


0822 


36 


24 


2 9 55 


3oo5 


3o55 


3io6 


3i56 


3 2 o6 


35 


24 


0872 


9 2I 


o 97 o 


ioi 9 


1069 


1118 


35 


25 


3257 


33o 7 


335 7 


34o8 


3458 


35o8 


34 


25 


1167 


1216 


1265 


i3i5 


1 364 


i4i3 


34 


26 


3558 


36o 9 


365 9 


3 79 


3 7 6o 


38io 


33 


26 


1462 


i5n 


i56i 


1610 


i65 9 


1708 


33 


27 


386o 


3 9 io 


3 9 6i 


4on 


4o6i 


4m 


32 


2 7 


i 7 5 7 


1806 


i856 


I 9 o5 


1954 


2003 


32 


28 


4162 


4212 


i262 


43i2 


4363 


44i3 


3i 


28 


2O52 


2IOI 


2l5l 


220O 


2249 


22 9 8 


3i 


29 


4463 


45i3 


4564 


46i4 


4664 


47i4 


3o 


2 9 


2347 


23 9 6 


2446 


2 4 9 5 


2544 


2 5 9 3 


3o 


3o 


9.734764 


48i5 


4865 


4 9 i5 


4 9 65 


5oi5 


2 9 


3o 


9 . 752642 


26 9 I 


2 7 40 


2789 


2 83 9 


2888 


2 9 


3i 


5o66 


5i 16 


5i66 


52i6 


5 2 66 


53i7 


28 


3i 


2 9 3 7 


2 9 86 


3o35 


3o84 


3i33 


3i82 


28 


32 


5367 


5417 


546 7 


55i7 


556 7 


56i8 


27 


32 


323i 


3280 


333o 


33 7 9 


3428 


3477 


27 


33 


5668 


5 7 i8 


5 7 68 


58i8 


5868 


5 9 i8 


26 


33 


3526 


35 7 5 


3624 


36 7 3 


3722 


3 77 i 


26 


34 


5 9 6 9 


6oi 9 


6069 


6n 9 


6i6 9 


62I 9 


25 


34 


3820 


386 9 


3 9 i8 


3967 


4oi6 


4o66 


25 


35 


6269 


63i 9 


6370 


6420 


6470 


6520 


24 


35 


4n5 


4:64 


4213 


4262 


43n 


436o 


24 


36 


6570 


6620 


6670 


6720 


6770 


6820 


23 


36 


44o 9 


4458 


45o 7 


4556 


46o5 


4654 


23 


3? 


6870 


6921 


6971 


7021 


7071 


7121 


22 


37 


4703 


4 7 5 2 


48oi 


485o 


4899 


4 9 48 


22 


38 


7171 


7221 


7271 


7321 


73 7 i 


7421 


21 


38 


4997 


5o46 


5o 9 5 


5i44 


5i 9 3 


5242 


21 


3 9 


7471 


7521 


7571 


7621 


7671 


7721 


2O 


39 


52 9 I 


534o 


538 9 


5438 


5487 


5536 


2O 


4o 


9.787771 


7821 


7871 


7 9 2I 


797 1 


8021 


J 9 


4o 


9 . 755585 


5634 


5682 


5731 


5780 


5829 


I 9 


4i 


8071 


8121 


8171 


8221 


8271 


832i 


18 


4i 


58 7 8 


5 9 2 7 


5 97 6 


6o25 


6074 


6i23 


18 


42 


8371 


8421 


8471 


852i 


85 7 i 


8621 


I 7 


42 


6l 7 2 


6221 


62-70 


63i9 


6368 


64i6 


I 7 


43 


8671 


8721 


8771 


8821 


88 7 i 


8 9 2I 


16 


43 


6465 


65i4 


6563 


6612 


6661 


6710 


16 


44 


8971 


9 O2I 


97 I 


9 I2I 


9, 1 ? 1 


9 22I 


i5 


44 


6 7 5 9 


6808 


685 7 


6905 


6 9 54 


7oo3 


i5 


45 


9271 


9 32I 


9 3 7 i 


9 420 


9 4 7 o 


9 52O 


i4 


45 


7 o52 


7 IOI 


7 i5o 


7199 


7247 


7296 


i4 


46 


9 5 7 


9 62O 


9 670 


9 720 


9770 


9 820 


i3 


46 


7345 


7 3 9 4 


7 443 


7492 


?54i 


7 58 9 


i3 


4? 


9870 


99 20 


9969 


..I 9 


..60 


.II 9 


12 


47 


7638 


7 68 7 


7736 


7785 


7834 


7882 


12 


48 


9.740169 


O2I 9 


0269 


o3i 9 


o368 


0418 


II 


48 


79 3! 


79 8o 


8o2 9 


8078 


8127 


8i 7 5 


II 


49 


o468 


o5i8 


o568 


0618 


0668 


0717 


IO 


49 


8224 


82 7 3 


8322 


83 7 i 


84i 9 


8468 


IO 


5o 


9.740767 


0817 


0867 


0917 


o 9 6 7 


1016 


9 


5o 


9 . 7 585i 7 


8566 


86i5 


8663 


8712 


8761 


9 


5i 


1066 


1116 


166 


1216 


1265 


i3i5 


8 


5i 


8810 


8858 


8 9 o 7 


8 9 56 


9 oo5 


9o53 


8 


52 


i365 


i4i5 


465 


i5i4 


i564 


1614 


7 


52 


9 I02 


9 i5i 


9 200 


9 248 


9 2 97 


9 346 


7 


53 


i664 


i 7 i4 


7 63 


i8i3 


i863 


I 9 i3 


6 


53 


9 3 9 5 


9 443 


9 4 9 2 


9 54i 


9 5 9 o 


9 638 


6 


54 


1962 


2OI2 


2062 


2112 


2161 


2211 


5 


54 


9 68 7 


9736 


9785 


9 833 


9 882 


99 3i 


5 


55 


2261 


23ll 


36o 


24lO 


2460 


25lO 


4 


55 


9979 


..28 


'77 


. 126 


i 7 4 


.223 


4 


56 


2 55 9 


26o 9 


65 9 


2 7 9 


27 58 


2808 


3 


56 


9 . 7 6o2 7 2 


0320 


o36 9 


0418 


o466 


o5i5 


3 


5? 


2858 


2007 


9 5 7 


3007 


3o56 


3io6 


2 


5 7 


o564 


0612 


0661 


0710 


o 7 58 


0807 


2 


58 


3i56 


3206 


3 2 55 


33o5 


3355 


34o4 


I 


58 


o856 


o 9 o4 


o 9 53 


1 002 


io5o 


1099 


I 


, 5 9 


.3454 


35o4 


3553 


36o3 


3653 


3702 


O 


5 9 


n48 


n 9 6 


1245 


I2 9 3 


1 342 


1391 


O 




60" 


50" 


40" 


30" 


20" 


10" 


d 




60" 50" | 40" 


30" 


20" 


10" 


. 




Co-tangent of 61 Degrees. 


9 

g 




Co-tangent of 60 Degrees. 


i 


P Part* l " 2 " 3// 4// 5 " 6 " 7// 8" 9" 


. ( 1" 2" 3" 4" 5" 6" 7" 8" 9" 


irl $ 5 10 15 20 25 30 35 40 45 IIL } 5 10 15 20 25 29 34 39 44 



54 



LOGARITHMIC SINES. 



1 


Sine of 30 Degrees. 




* 


Sine of 3 1 Degrees. 




s 


0" 


10" 


20" 1 30" | 40" 


50" 







0" | 10" 


20" 


30" 


40" 


50" 







9 .6 9 8 9 7o 


9 oo6 


9043 9079 9116 


9 l52 


5 9 


o 


9 . 7 n83 9 


i8 7 4 


I 9 o 9 


1944 


I 979 


2Ol4 


5 9 


I 


9189 


9 225 


9 262 9298:9334 


9 3 7I 58 


i 


2o5o 


2o85 


2120 


2i55 


2I 9 


2225 


58 


2 


9407 


9 444 


94809517:9553 


9 58 9 5 7 


2 


2260 


22 9 5 


2330 


2365 


240O 


2434 


57 


r 


9626 


9 662 


969997359771 


9808 


56 


3 


246 9 


25o4 


253 9 


2 5 7 4 


26o 9 


2644 


56 


4 


9844 


9 88o 


99 i 799 53 999 o 


.,26 


55 


4 


2 6 79 


2 7 l4 


2 7 4 9 


2784 


28i 9 


2854 


55 


i 


9.700062 


oo 99 


oi35 oi 7 i 


0208 


0244 


54 


5 


288 9 


2 9 24 


2 9 5 9 


2994 


3o2 9 


3o63 


54 


6 


0280 


0317 


o353o38 9 


0425 


0462 


53 


6 


3o 9 8 


3i33 


3i68 


3 2 o3 


3238 


3 27 3 


53 


7 


0498 


o534 


o5 7 i o6o 7 


o643 


0680 


52 


7 


33o8 


3343 


33 77 


34i2 


3447 


3482 


52 


8 


0716 


7 52 


07880825 


0861 


o8 97 


5i 


8 


35i 7 


3552 


358 7 


362i 


3656 


36 9 i 


5i 


9 


o 9 33 


0970 1006 1042 


1078 


in5 


5o 


9 


3 7 26 


3 7 6i 


3 W 6 


383o 


3865 


3900 


5o 


IO 


9.701151 


1187 


1223 I25g 


1296 


i33 2 


49 


IO 


9 . 7 i3 9 35 


3 97 o 


4oo5 


4039 


4074 


4109 


49 


ii 


i368 


i4o4 


i44o i4 77 


i5i3 


i54 9 


48 


ii 


4i44 


4i79 


4213 


4248 


4283 


43i8 


48 


12 


i585 


1621 


i658 i6 9 4 


1730 


1-766 


47 


12 


435 2 


438 7 


4422 


445 7 


44 9 i 


4526 


47 


i3 


1802 


i838 


i8 7 4 i 9 n 


1947 


i 9 83 


46 


i3 


456i 


45 9 6 


463o 


4665 


4700 


4735 


46 


i4 


2019 


2o55 


2O 9 I 2I2 7 


2164 


22OO 


45 


i4 


476 9 


48o4 


483 9 


48 7 3 


4 9 o8 


4943 


45 


i5 


2236 


22 7 2 


23o8- 2 344 


238o 


2416 


44 


i5 


4 9 78 


5012 


5o4 7 


5o82 


5n6 


5i5i 


44 


16 


2452 


2488 


25242561 


25 97 


2633 


43 


16 


5i86 


522O 


5 2 55 


5290 


5324 


535 9 


43 


17 


2669 


2 7 o5 2741^777 


28i3 


284 9 


42 


'7 


53 9 4 


5428 


5463 


5498 


5532 


556 7 


42 


18 


2885 


2 9 2I 


2 9 57 2 99 3 


3029 


3o65 


4i 


18 


56o2 


5636 


56 7 i 


5 7 o5 


5 7 4o 


5 77 5 


4i 


i 9 


3ioi 


3i3 7 


3173 3209 


3 2 45 


3281 


4o 


i 9 


58o 9 


5844 


58 7 f 


5 9 i3 


5 9 48 


5 9 82 


4o 


20 


9 . 7 o33 I7 


3353 


338 9 ! 3425 


346i 


34 97 


3 9 


20 


9 . 716017 


6o5i 


6086 


6121 


6i55 


6190 


39 


21 


3533 


356 9 


36o5 364i 


3677 


3 7 i3 


38 


21 


6224 


6 2 5 9 


62 9 3 


63 2 8 


6362 


63 97 


38 


22 


3 7 4 9 


3 7 84 


38203856 


38 9 2 


3 9 28 


37 


22 


6432 


6466 


65oi 


6535 


65 7 o 


66o4 


3 7 


23 


3 9 64 


4ooo 


4o36j4o72 


4io8 


4i44 


36 


23 


663 9 


66 7 3 


6 7 o8 


6 7 42 


6777 


6811 


36 


24 


4i79 


42i5 


425i428 7 


4323 


435 9 


35 


24 


6846 


6880 


6 9 i5 


6949 


6 9 84 


7018 


35 


25 


43 9 5 


443i 


4466j45o2 


4538 


45 7 4 


34 


25 


7o53 


7 o8 7 


7 I22 


7 i56 


7i 9 i 


7225 


34 


26 


46io 




4682'47i7 


4753 


4 7 8 9 


33 


26 


7 25 9 


7 2 9 4 


7 328 


7 363 


7397 


7432 


33 


27 


4825 


486i'4896|4932 


4968 


5oo4 


32 


27 


7 466 




7 535 


7 56 9 


7604 


7 638 


32 


28 


5o4o 


5075 


5ni 


5i47 


5i83 


52I 9 


3i 


28 


7 6 7 3 


777 


77 4i 


7776 


7810 


7844 


3i 


2 9 


5254 


5290 


5326 


5362 


53 97 


5433 


3o 


2 9 


7879 


79 i3 


7948 


79 82 


8016 


8o5i 


3o 


3o 


9 .7o546 9 


55o5 


554o 


55 7 6 


56i2 


5648 


2 9 


3o 


9 . 718085 


8n 9 


8i54 


8188 


8223 


8 2 5 7 


29 


3i 


5683 


5719 5755 


5 79 


5826 


5862 


28 


3i 


82 9 I 


8326 


836o 


83 9 4 


842 9 


8463 


28 


32 


58 9 8 


5 9 33 


5 9 6 9 


6oo5 


6o4o 


6o 7 6 


2 7 


32 


84 9 7 


853i 


8566 


8600 


8634 


8669 


27 


33 


6112 


61476183 


6219 


6254 


62 9 o 


26 


33 


8 7 o3 


8 7 3 7 


8772 


8806 


884o 


88 7 4 


26 


34 


6326 


636i 


63 97 


6433 


6468 


65o4 


25 


34 


8 9 o 9 


8 9 43 


8977 


9 on 


9 o46 


9080 


25 


35 


653 9 


65 7 5 


6611 


6646 


6682 


6 7 i8 


24 


35 


9 n4 


9 i48 


9 i83 


9 3I 7 


9 25l 


9285 


24 


36 


6 7 53 


6789 6824 


6860 


68 9 5 


6 9 3i 


23 


36 


9 320 


9 354 


9 388 


9 422 


9 456 


9491 


23 


37 


6 9 6 7 


7002 


7o38 


7 o 7 3 


7109 


7i45 


22 


37 


9 5 2 5 


9 55 9 


9 5 9 3 


9 62 7 


9 662 


9696 


22 


38 


7180 


7216 7 25i 


7287 


7322 


7358 


21 


38 


97 3o 


97 64 


979 s 


9 833 


9867 


9901 


21 


3 9 


7 3 9 3 


7429 


7464 




7 535 


7 5 7 i 


20 


39 


99 35 


99 6 9 


...3 


..38 


..72 


. 106 


2O 


4o 


9 . 707606 


7642 


7677 


77 i3 


7748 


7784 


I 9 


4o 


9 . 720140 


oi 7 4 


0208 


0242 


0276 


o3n 


'9 


4i 


7819 


7855 


7 8 9 o 


7926 


7961 


7997 


18 


4i 


o345 


o3 79 


o4i3 


o44 7 


o48i 


o5i5 


18 


42 


8o3 2 


8068 


8io3 


8i3 9 


8174 


8210 


i 7 


42 


o54 9 


o583 


0617 


o652 


0686 


7 20 


1 7 


43 


8245 


8^80 83i6 


835i 


838 7 


8422 


16 


43 


0754 


o 7 88 


0822 


o856 


0890 


0924 


16 


44 


8458 


8^3 


85 2 8 


8564 


85 99 


8635 


i5 


44 


o 9 58 


99 2 


1026 


1060 


1094 


1128 


i5 


45 


8670 


8 7 o5 


8 7 4i 


8776 


8811 


8847 


i4 


45 


1162 


1 1 9 6 


1230 


1264 


1298 


i332 


i4 


46 


8882 


8918 


8 9 53 


8988 


9024 


9 o5 9 


i3 


46 


1 366 


i4oo 


i434 


1 468 


1 602 


i536 


i3 


47 


9 o 9 4 


9i3o 9 i65 


9200 


9236 9271 


12 


47 


1570 


i6o4 


i638 


l6 7 2 


1706 


i 7 4o 


12 


48 


9 3o6 


9 342 


9377 


9412 


9 448 9 483 


II 


48 


i 77 4 


1808 


1842 


i8 7 6 


1910 


1944 


II 


49 


9 5i8 


9 553 9 58 9 


9624 


9659 9695 


IO 


49 


i 97 8 


2012 


2046 


2080 


2114 


2148 


10 


5o 


9 . 7 o 97 3o 


9 765 9 8oo 


9 836 


9871 9906 


9 


5o 


9 . 722181 


22l5 


2249 


2283 


2317 


235i 


9 


5i 


99 4i 


9977 


. . 12 


..4 7 


..82 .118 


8 


5i 


2385 


24l 9 


2453 


2 48 7 


2520 


2554 


8 


52 


9 . 7 ioi53 


01880223 


0259 


02 9 4 032 9 


7 


52 


2588 


2622 


2656 


26 9 o 


2724 


2 7 5 7 


7 


53 


o364 


o3 99 o435 


0470 


o5o5 o54o 


6 


53 


27 9 I 


2825 


28592893 


2927 


2960 


6 


54 


o5 7 5 


06 1 1 


o646 


0681 


0716 0751 


5 


54 


2. 99 4 


3028^062 3o 9 6 3i3o:3i63 


5 


55 


0786 


08220857 


0892 


9 27 9 62 


4 


55 


3i 97 323il3265:32 99 !3332 3366 


4 


56 


997 


I032 ! 


1067 


no3 


n38 n 7 3 


3 


56 


34oo 3434 3468;35oi 3535 356 9 


3 


5 7 


1208 


1243 


1278 


i3i3 


i348 i383 


2 


57 


36o3363636 7 o3 7 o43 7 38377i 2 


58 


i4i 9 


i454 


1489 


i524 


i55 9 i5 9 4 


I 


58 


38o5:383 9 3873 3 9 o6 3 9 4o3 97 4 i 


5 9 


i62 9 


1664 


1699 


1734 


1769 1 8o4 


O 


5 9 


4oo 7 4o4i 4075 4io 9 4i42 4176 o 




60" 


50" 


40" | 30" | 20" i 10" 


a 




60" 50" . 40" 30" 20" 10" 1 . 




Co-sine of 59 Degrees. 


fl 




Co-sine of 58 Degrees. ' 


. ( 1" 2" 3" 4" 5" 6" 7" 8" 9" J 1" 2" 3" 4" 5" 6" 7" 8" 9" 


"{ 4 7 11 


14 18 21 25 29 32 \ 3 7 10 14 17 21 24 27 31 



LOGARITHMIC TANGENTS. 



.5 


Tangent of 30 Degrees. 




Jj 


Tangent of 3 1 Degrees. 




0" 


10" 


20" 


30" 


40" 


50" 


0" 


10" 


20" 


30" 


40" 


50" 





9. -761439 


i486 


i53 7 


i585 


i634 


1682 


5 9 


o 


9 . 778774 


8821 


886 9 


8 9 i 7 


8 9 64 


9OI2 


5 9 


i 


I 7 3i 


1-780 


1828 


1877 


I 9 25 


i 97 4 


58 


i 


9060 


9 io8 


9 i55 


9203 


9 25l 


9 2 9 8 


58 


2 


8O22 


20-71 


2I2O 


2168 


2217 


2266 


57 


2 


9 346 


9 3 9 4 


9 44i 


9489 


9 53 7 


9 584 


5 7 


3 


23l4 


2363 


2411 


2460 


25o8 


255 7 


56 


3 


9 632 


9 6 79 


97 2 7 


977 5 


9 822 


9 8 7 o 


56 


4 


2606 


2654 


2 7 o3 


2751 


2800 


2848 


55 


4 


99I 8 


99 65 




..61 


.108 


.i56 


55 


5 


2 8 97 


2 9 45 


2 99 4 


3o43 


3o 9 i 


3i4o 


54 


5 


9 . 780203 


025l 


02 99 


o346 


o3 9 4 


o44i 


54 


6 


3i88 


323 7 


3285 


3334 


3382 


343i 


53 


6 


o48 9 


o53 7 


o584 


o632 


o6 79 


7 2 7 


53 


7 


34 7 9 


3528 


35 7 6 


3625 


36 7 3 


3 7 22 


52 


7 


0775 


0822 


o8 7 o 


o 9 i 7 


o 9 65 


ioi3 


52 


8 


3 77 o 


38i 9 


386 7 


3 9 i6 


3 9 64 


4oi3 


5i 


8 


1060 


1108 


n55 


1203 


I25o 


1298 


5i 


9 


4o6i 


4no 


4i58 


4207 


4255 


43o4 


5o 


9 


1 346 


i3 9 3 


i44i 


i488 


i536 


i583 


5o 


10 


9. 7 64352 


44oo 


4449 


4497 


4546 


45 9 4 


49 


IO 


9 . 781631 


i6 7 8 


1-726 


i 77 4 


1821 


1869 


4 9 


II 


4643 


46 9 i 


4 7 4o 


4788 


4836 


4885 


48 


ii 


i 9 i6 


i 9 64 


2OII 


2o5 9 


2106 


2 I 54 


48 


12 


4933 


4 9 82 


5o3o 


5079 


5127 


5i 7 5 


47 


12 


22OI 


224 9 


22 9 6 


2344 


23 9 I 


243 9 


47 


i3 


5224 


52 7 2 


532i 


536 9 


54i8 


5466 


46 


i3 


2486 


2 534 


258i 


262 9 


26-76 


2 7 24 


46 


i4 


55i4 


5563 


56n 


566o 


5 7 o8 


5 7 56 


45 


i4 


2771 


28l 9 


2866 


2 9 i4 


2961 


3OO9 


45 


i5 


58o5 


5853 


5901 


SgSo 


5 99 8 


6o4 7 


44 


i5 


3o56 


3io4 


3i5i 


3i 99 


3246 


32 9 4 


44 


16 


6095 


6i43 


6192 


6240 


6288 


633 7 


43 


16 


334i 


3388 


3436 


3483 


353i 


35 7 8 


43 


i 7 


6385 


6433 


6482 


653o 


65 7 8 


662 7 


42 


'7 


3626 


36 7 3 


3 7 2I 


3 7 68 


38i6 


3863 


42 


18 


66 7 5 


6 7 23 


6 77 2 


6820 


6868 


691-7 


4i 


18 


3 9 io 


3 9 58 


4oo5 


4o53 


4ioo 


4i48 


4i 


19 


6 9 65 


7 oi3 


-7062 


7110 


7i58 


7 20 7 


4o 


19 


4i 9 5 


4242 


4290 


433 7 


4385 


4432 


4o 


20 


9. 7 6 7 255 


7 3o3 


7 35 2 


74oo 


7448 


7496 


3 9 


20 


9.784479 


452 7 


45 7 4 


4622 


466 9 


4 7 i6 


3 9 


21 


7 545 


7 5 9 3 


7 64i 


7690 


7738 


77 86 


38 


21 


4764 


48u 


485 9 


4 9 o6 


4953 


5ooi 


38 


22 


7 834 


7 883 


79 3i 


7919 


8027 


80-76 


37 


22 


5o48 


5o 9 5 


5i43 


5i 9 o 


5238 


5 2 85 


37 


23 


8124 


81-72 


8221 


826 9 


83i7 


8365 


36 


23 


5332 


538o 


542 7 


54 7 4 


5522 


556 9 


36 


24 


84i4 


8462 


85io 


8558 


8606 


8655 


35 


24 


56i6 


5664 


5 7 n 


5 7 58 


58o6 


5853 


35 


25 


8 7 o3 


8 7 5i 


8 799 


8848 


88 9 6 


8944 


34 


25 


5 9 oo 


5 9 48 


5 99 5 


6042 


6090 


6i3 7 


34 


26 


8992 


9 o4o 


9 o8 9 


9 i3 7 


9 i85 


9 233 


33 


26 


6i84 


6232 


62 79 


6326 


63 7 4 


6421 


33 


27 


9281 


9 33o 


9 3 7 8 


9 426 


9 4 7 4 


9522 


32 


27 


6468 


65i6 


6563 


6610 


665 7 


6 7 o5 


32 


28 


95 7 i 


9 6i 9 


9667 


9 7i5 


97 63 


9811 


3i 


28 


6752 


6 799 


684 7 


68 9 4 


6941 


6 9 88 


3i 


2 9 


9860 


99 o8 


99 56 


...4 


..52 


. 100 


3o 


29 


7o36 


7 o83 


7 i3o 


7178 


7 225 


7 2 7 2 


3o 


3o 


9. 77 oi48 


oi 97 


0245 


02 9 3 


o34i 


o38 9 


2 9 


3o 


9 . 7 8 7 3 I9 


7 36 7 


7 4i4 


746 1 


7 5o8 


7 556 


29' 


3i 


o43 7 


o485 


o534 


o582 


o63o 


06-78 


28 


3i 


7 6o3 


7 65o 


7 6 97 


7745 


77 9 2 


7 83 9 


28 


32 


0-726 


o 77 4 


0822 


0870 


o 9 i 9 


096-7 


2 7 


32 


-7886 


79 34 


79 8i 


8028 


8o 7 5 


8122 


2 7 


33 


ioi5 


io63 


1 1 1 1 


n5 9 


1207 


1255 


26 


33 


81-70 


821-7 


8264 


83n 


835 9 


84o6 


26 


34 


i3o3 


i35i 


i3 99 


i448 


i4 9 6 


1 544 


25 


34 


8453 


85oo 


854 7 


85 9 5 


8642 


868 9 


25 


35 


i5 9 2 


i64o 


1688 


1736 


1784 


i832 


24 


35 


8 7 36 


8 7 83 


883o 


88 7 8 


8 9 25 


8 97 2 


24 


36 


1880 


I 9 28 


i 9 76 


2024 


2072 


2I2O 


23 


36 


9 oi 9 


9 o66 


9 n4 


9161 


9 2o8 


9 255 


23 


37 


2168 


2216 


2264 


23l2 


236i 


2409 


22 


37 


9 3o2 


9 34 9 


9 3 97 


9 444 


9 4 9 i 


9 538 


22 


38 


245 7 


2 5o5 


2553 


2601 


264 9 


26 97 


21 


38 


9 585 


9 63 2 


9 6 79 


97 2 7 


9774 


9 82I 


21 


QQ 


2 7 45 


2703 


2841 


2 88 9 


2O37 


2985 


2O 


3o 


9 868 


ooi 5 


0062 




5 7 


. i o4 


2O 


4o 


9 . 77 3o33 


/v w 

3o8i 


3i2 9 


3i 77 


7 / 

3225 


32 7 3 


J 9 


/ 

4o 


9 . 79 oi5i 


vv x ^ 
oi 9 8 


fl 
0245 


O2 9 2 


o33 9 


o386 


19 


4i 


332i 


336 9 


3417 


3465 


35i2 


356o 


18 


4i 


o434 


o48i 


o528 


o5 7 5 


0622 


o66 9 


18 


42 


36o8 


3656 


3704 


3 7 5 2 


38oo 


3848 


'7 


42 


O 7 i6 


o 7 63 


0810 


o85 7 


ogoS 


O 9 52 


17 


43 


38 9 6 


3 9 44 


3992 


4o4o 


4o88 


4i36 


16 


43 


999 


io46 


1093 


n4o 


1187 


1234 


16 


44 


4i84 


4232 


4280 


4328 


43 7 5 


4423 


i5 


44 


1281 


i328 


!3 7 5 


l422 


1469 


i5i6 


i5 


45 


44 7 i 


45i 9 


456 7 


46i5 


4663 


4 7 n 


i4 


45 


i563 


1611 


i658 


I 7 o5 


I 7 52 


i 799 


i4 


46 


4 7 5 9 


48o 7 


4855 


4 9 02 


4 9 5o 


4998 


i3 


46 


1 846 


i8 9 3 


1940 


i 9 8 7 


2o34 


2081 


i3 


47 


5o46 


5o 9 4 


5i42 


5i 9 o 


5238 


5 2 86 


12 


47 


2128 


2I 7 5 


2222 


226 9 


2 3i6 


2363 


12 


48 


5333 


538i 


5429 


5477 


5525 


55 7 3 


II 


48 


2410 


245 7 


25o4 


2 55i 


25 9 8 


2645 


II 


49 


562! 


5668 


5716 


5764 


58i2 


586o 


IO 


4 9 


26 9 2 


2 7 3 9 


2 7 86 


2833 


2880 


2 9 2 7 


IO 


5o 


9. -7-75908 


5 9 56 


6oo3 


6o5i 


6o 99 


6i4 7 


9 


5o 


9-79 2 974 


3O2I 


3o68 


3n5 


3i6 2 


320 9 


9 


5i 


6195 


6243 


6290 


6338 


6386 


6434 


8 


5i 


3 2 56 


33o3 


335o 


33 97 


3444 


34 9 i 


8 


52 


6482 


6529 


6577 


66 2 5 


6673 


6 7 2I 


7 


52 


3538 


3585 


3632 


36 79 


3 7 26:3 77 3 


7 


53 


6 7 68 


6816 


6864 


6 9 I2 


6960 


77 


6 


53 


38i 9 


3866 


3 9 i3 


3 9 6o 


4oo 7 4o54 


6 


54 


7 o55 


7 io3 


7 i5i 


7i 99 


7246 


7294 


5 


54 


4ioi 


4i48 


4i95 


4242 


42894336 


5 


55 


7 342 


7 3 9 o 


7437 


7485 


7 533 


7 58i 


4 


55 


4383 


443o 




4 


56 


-7628 


7 6 7 6 


7724 


7772 


7 8i 9 


7867 


3 


56 


4664 


4 7 n 


4 7 58 


48o5 4852 48 99 


3 


57 


79 i5 


79 63 


8010 


8o58 


8106 


8i54 


2 


57 


4 9 46 


4 99 2 5o3 9 


5o865i335i8o 


2 


58 


8201 


824 9 


8297 


8344 


83 9 2 


844o 


I 


58 


522 7 


52 7 453 2 i 536 7 !54i4546i 


I 


5 9 


8488 


85358583 


863i 


86 7 8 


8726 


O 


5 9 


55o8 5555 56o 2 564 9 


5696 5 7 42 


O 




W 50" 40" 


30" 20" 


10" 


~T~ 




60" 50" ) 40" i 30" 


20" , 10" 


G 




Co-tangent of 59 Degrees. 


S3 




Co-tangent of 58 Degrees. 


1 


P Part* l " ~" 3 " 4 " 5 " 6 " 7 " 8 " 9 " 


C l" 2" 3" 4" 5" 6" 7" 8" 9" 


\ 5 10 14 19 24 29 34 39 43 


irt \ 5 9 14 19 24 28 33 38 43 



bfl 



LOGARITHMIC SINES. 



_g 


Sine of 32 Degrees. 




.s 


Sine of 33 Degrees 




9 





10" 


20" 


30" 


40" 


50" 




2 


0" 10" 20" | 30". 40" 


50" 




o 


9.724210 


4243 


4277:4311 


4344 


43 7 8 


5 9 





9 . 7 36io 9 6i4i 6i 7 4 6206 


6 2 38 


62 7 I 


5 9 


i 


44i2 


4445 


447 9 45i3 


4546 


458o 


58 


I 


63o3 6336 636864oo 


6433 


6465 


58 


2 


46i4 


4647 


468i 4 7 i5 


4748 


4782 


5 7 


2 


6498653066626696 


662 7 


665 9 


57 


3 


48i6 


4849 


4883 4 9 i7 


4 9 5o 


4 9 84 


56 


3 


6692,6-724 6 7 5 7 |6 7 8 9 


6821 


6854 


56 


4 


5oi 7 


5o5i 


5o85' 


5n8 


5i5 2 


5i85 


55 


4 


6886'6 9 i8;6 9 5iJ6 9 83 


7 oi5 


7 o48 


55 


5 


5219 


5253 


5286 


5320 


5353 


5387 


54 


5 


7080 7112 7145)7177 


7 20 9 


7241 


54 


6 


5420 


5454 


5488 


552i 


5555 


5588 


53 


6 


7274 


7 3o6 7 338| 7 3 7 i 


7 4o3 


7435 


33 


7 


5622 


5655 


568 9 


5722 


5 7 56 


5 7 8 9 


52 


7 


7 46 7 


7 5oo 


76327664 


7 5 97 


7 62 9 


52 


8 
9 

10 


5823 
6024 
9.726225 


5856 
6o5 7 
6258 


58 9 o5 9 23 
6091 6124 
6292 6325 


5 9 5 7 
6i58 
635 9 


5 99 o 
6i 9 i 
63 9 2 


5i 
5o 
49 


8 
9 

10 


7 66i 
7 855 
9.788048 


7693772617768 
788779197961 

8o8o8ii28i45 


779 
7983 
8i 77 


7 822 
8016 
820 9 


Si 

5o 

49 


ii 


6426 


645 9 


6493 6526 


656o 


65 9 3 


48 


ii 


8241 


82 7 3 


83o68338 


83 7 o 


8402 


48 


12 


6626 


6660 


6693 6727 


6760 


6704 


47 


12 


8434 


846684 9 9|853i 


8563 


85 9 5 


47 


i3 


6827 


6860 


6894 6927 


6961 


6994 


46 


i3 


86278659 


86 9 2 


8 7 24 


8 7 56 


8 7 88 


46 


i4 


7027 


7061 


7094 


7128 


7161 


7 i 9 4 


45 


i4 


88208852 


8884 


8 9 i 7 8 9 4 9 


8 9 8i 


45 


i5 


7228 


7261 


7294 


7328 


736i 


7 3 9 4 


44 


i5 


9013 9045 


977 


9 io 99 i4i 


9 i 7 3 


44 


16 


7428 


746 1 


7494 


7 5 2 8 


7 56i 


7 5 9 4 


43 


16 


9206 


9238 


9 2 7 


9 3o2 9 334 


9 366 


43 


17 


7628 


7661 


7694 


7728 


7761 


7794 


42 


J 7 


9 3 9 8 


9 43o 


9 462 


9494 


9 526 9 558 


42 


18 


7828 


7861 


7 8 9 4 


7 9 28 


7961 


7994 


4i 


18 


9 5 9 o 


9622 


9 654 


968? 


97 i 9 


97 5! 


4i 


I 9 


8027 


8061 


80948127 


8161 


8i 9 4 


4o 


J 9 


9783 


9 8i5 


9847 


9 8 79 


99 n 


99 43 


4o 


20 


9.728227 


8260 


82948327 


836o 


83 9 3 


3 9 


20 


9 . 7 3 997 5 


...7 


..3 9 


.. 7 i 


,io3 


.i35 


3 9 


21 


8427 


846o 


849385 2 6 


856o85 9 3 


38 


21 


9 . 740167 


oi 99 


023l 


0263 


O2 9 5 


o32 7 


38 


22 


8626 


865 9 


8692 


8726 


8 7 5 9 !8 79 2 


37 


22 


o35 9 


o3 9 i 


o423 


o455 


o48 7 


o5i 9 


3? 


23 


8825 


8858 


8892 


8 9 25 


89588991 


36 


23 


o55o 


o582 


06 1 4 


o646 


o6 7 8 


7 IO 


36 


24 
25 


9024 
9223 


9 o58 

9 25 7 


9091 
9290 


9 I24 

9 323 


915719190 
9356 9 38 9 


35 

34 


24 
25 


0742 
o 9 34 


0774 
o 9 66 


0806 

997 


o838 

I02 9 


o8 7 o 
1061 


O 9 02 

io 9 3 


35 
34 


26 


9422 


9 455 


9489 9522 


9 555 9 588 


33 


26 


1125 


1 15 7 


n8 9 


1221 


1253 


1284 


33 


27 


9621 


9 654 


96879720 


97 53 


9787 


32 


27 


i3i6 


1 348 


i38o 


1412 


1 444 


i4 7 6 


32 


28 


9820 


9 853 


9886 9919 


9952 


99 85 


3i 


28 


i5o8 


i53 9 


1671 


i6o3 


i635 


i66 7 


3i 


29 9.730018 


oo5i 


oo84 


0117 


oi5o 


oi83 


3o 


2 9 


i6 99 


1730 


1762 


i 79 4 


1826 


i858 3o 


*3o 9.730217 


025o 


0283 o3i6 


0349 o382 


2 9 


3o 


9 . 7 4i88 9 


I 9 2I 


i 9 53 


i 9 85 


20I 7 


204 9 


2 9 


3i 


o4i5 


o448 


0481 


o5i4 


o547 58o 


28 


3i 


2080 


2112 


2i44 


2I 7 6 


22O 7 


223 9 28 


32 


o6i3 


0646 


06790712 


o 7 45 


0778 


27 


32 


2271 


2 3o3 


2335 


2366 


2 3 9 8 


2 43o 


27 


33 


0811 


o844 


0877 


o 9 io 


o 9 43 


o 97 6 


26 


33 


2462 


2493 


25 2 5 


2 55 7 


2 58 9 


2620 


26 


34 


1009 


1042 


1075 


1 1 08 


n4i 


n 7 3 


25 


34 


2652 


2684 


2 7 l5 


2 7 4 7 


2779 


28 1 i 


25 


35 


1206 


1239 


1272 


i3o5 


i338 


i3 7 i 


24 


35 


2842 


28-74 


2 9 o6 


2 9 3 7 


2 9 6 9 


3ooi 


24 


36 


i4o4 


i43 7 


1470 


i5o3 


i536 


i56 9 


23 


36 


3o33 


3o64 


3o 9 6 


3128 


3i5 9 


3i 9 i 


23 


37 


1602 


1 634 


1667 


1700 


i 7 33 


1766 


22 


37 


3223 


3 2 54 


3 2 86 


33i8334 9 


338i 


22 


38 


1799 


i832 


i865 


i8 97 


I 9 3o 


i 9 63 


21 


38 


34i3 


3444 


34 7 6 


35o8 3539 


35 7 i 


21 


3 9 1996 


2029 


2062 


20 9 5 


2127 


2160 


20 


39 


36o2 


3634 


3666 


36 97 


3729 


3 7 6i 


20 


409.732193 


2226 


2259 2292 


2325 


235 7 


I 9 


4o 


9 .743 79 2 


3824 


3855 


388 7 


3 9 i 9 


3 9 5o 


J 9 


4i 


2390 


2423 


2456 2489 


2521 


2 554 


18 


4i 


3 9 82 


4oi3 


4o45 


4o 77 


4io8 


4i4o 


18 


42 


2587 


2620 


2653 2685 


2718 


2 ? 5l 


17 


42 


4i 7 i 


4203 


4234 


4266 


429-7 


432 9 


17 


43 


2784 


2816 


2849 2882 


2 9 l5 


2 9 48 


16 


43 


436i 


43 9 2 


4424 


4455 


448 7 


45i8 


16 


44 


2980 


3oi3 


3o46 3o 79 


3in 


3i44 


i5 


44 


455o 


458i 


46i3 


4644 


46 7 6 


4 7 o 7 


i5 


45 


3i 77 


3210 


8242 


32 7 5 


33o8 


334o 


i4 


45 


4 7 3 9 


4 77 o 


4802 


4833 


4865 


48 9 6 


i4 


46 


33 7 3 


34o6 


34393471 


35o4 


353 7 


i3 


46 


4 9 28 


4 9 5 9 


4 99 i 


5022 


5o54 


5o85 


i3 


47 
48 

49 


356 9 
3 7 65 
3 9 6i 


36o2 
3 79 8 
3 99 4 


3635 36673700 
383i 3863|38 9 6 
4027 4o59 4092 


3 7 33 
3 9 2 9 

4i25 


12 
II 
IO 


47 
48 

49 


5n 7 
53o6 
5494 


5i48 
533 7 
5526 


5i8o 
536 9 
555 7 


5211 
5400 

558 9 


5243 
543i 
5620 


52 7 4 
5463 
565i 


12 
II 
IO 


5o 


9.734157 


4i 9 o 


4222 


4255 


4288 


4320 


9 


5o 


9 . 7 45683 


5 7 i4|5 7 46 


5 777 


58o8 


584o 


9 


5i 


4353 


4386 


44i8 


445 1 


4483 


45i6 


8 


5i 


58 7 i 


69036934 


5 9 65 


5 997 


6028 


8 


52 


4549 


458i 


46i4 


4646 


46 79 


4 7 n 


7 


52 


6060 


6091 6122 


6 1 54 6 1 85 


6216 


7 


53 


4744 


4?77 


4809 


4842 


48 7 4 


4 9 o 7 


6 


53 


6248!62 79 !63io 


63426373 


64o4 


6 


54 


4939 


4 9 7 2 


5oo4 


5o37 5069 


5l02 


5 


54 


6436 646 7 64 9 8 


653o656i 


65 9 2 


5 


55 


5i35 


5i6 7 


52OO 


5 2 3 2 5 2 65 


52 97 


4 


55 


6624 6655 6686 


6 7 i86 7 4 9 


6 7 8o 


4 


56 


533o 


5362 


53 9 5 


5427 


546o 


5492 


3 


56 


68i2'6843 


68 7 4 


6 9 o5 


6 9 3 7 


6 9 68 3 


5 7 


5525 


555 7 


55 9 o 


5622 


5655 


568 7 


2 


5 7 


6 999 ! 7 o3i 


-7062 


7 o 9 3 


7124 


7 i56 


2 


58 


5 7 i 9 


5 7 5 2 


5 7 84 


58i 7 


584 9 


5882 


I 


58 


71877218 


7 24 9 


728lJ73l2 


7 343 


I 


5 9 


5gi4 


5 9 4 7 


5 979 


601 1 6o44 


6o 7 6 


O 


5 9 


7 3 7 4| 7 4o6 


7 43 7 7468)7499 753o 


O 




60" 


50" 


40' 


30" 20" 


10" 


B 




60" 50" 40" 30" 20" 10" 


a 




Co-sine of 57 


Degrees. 


i 




Co-sine of 56 Degrees. 


i 


.< 1" 2" 3" 4" 


5" 6" 7" 8" 9" 


p p C 1" 2" 3" 4" 5" 6" 7" 8" 9" 


P.PMtj 3 7 10 13 


17 20 23 26 30 


1 n \ 3 6 10 13 16 19 22 25 29 



LOGARITHMIC TANGENTS. 



r l 


Tangent of 32 Degrees. 




d 


Tangent of 33 Degrees. 




* 


0" 


10" 


20" 30" 


40" 


50" 




a 


0" 


10" 


20" 


30" 40" 


00" 




o 


9-79578 9 


5836 


58835 9 3o 


5 977 


6023 


5 9 


o 


9 .8i25i7 


2563 


2610 


2656 


2 7 O2 


2748 


5 9 


I 


6070 


6n 7 


616416211 


6258 


63o4 


58 


i 


2794 


2840 


2886 


2932 


2 97 8 


3o24 


58 


6 


635i 


63 9 8 


6445 


6492 


653 9 


6585 


57 


2 


3070 


3n6 


3i63 


3209 


3255 


33oi 


57 


3 


6632 


66 79 


6 7 26 


6773 


68i 9 


6866 


56 


3 


334 7 


33 9 3 


343 9 


3485 


353i 


35 77 


56 


4 


6 9 i3 


6 9 6o 


7 oo 7 


7 o53 


7100 


7 i4 7 


55 


4 


3623 


366 9 


3 7 i5 


3 7 6i 


38o 7 


3853 


55 


5 


7i 9 4 


7 24l 


7287 


7334 


7 38i 


7 428 


54 


5 


38 99 


3 9 45 


3 99 i 


4o3 7 


4o83 


4i2 9 


54 


6 


7 4 7 4 


7 52I 


7 568 


7 6i5 


7662 


77 o8 


53 


6 


4176 


4222 


4268 


43i4 


436o 


44o6 


53 


7 


77 55 


7 802 


7 84 9 


7895 


7942 


7989 


5 2 


7 


4452 


44 9 8 


4544 


4590 


4636 


4682 


5 2 


8 


8o36 


8082 


8i2 9 


8176 


8223 


826 9 


5i 


8 


4728 


4774 


4820 


4866 


4 9 I2 


4 9 58 


5i 


9 


83i6 


8363 


84o 9 


8456 


85o3 


855o 


5o 


9 


5oo4 


5o5o 


5o 9 6 


5i42 


5i88 


5 2 34 


5o 


10 


9 . 79 85 9 6 


8643 


8690 


8737 


8 7 83 


883o 


49 


10 


9 .8i528o 


53 2 6 


5371 


5417 


5463 


55o 9 


4 9 


ii 


88 77 


8 9 23 


8 97 o 


9017 


9 o63 


9 no 


48 


ii 


5555 


56oi 


5647 


56 9 3 


5 7 3 9 


5 7 85 


48 


12 


9 i5 7 


9 204 


925o 


9 2 97 


9 344 


9 3 9 o 


47 


12 


583i 


5877 


5 9 23 


5969 


6oi5 


6061 


47 


i3 


9 43 7 


9 484 


9 53o 


9 5 77 


9 6 2 4 


9 6 7 o 


46 


i3 


6107 


6i53 


6i 99 


6245 


62 9 I 


6336 


46 


i4 


97 i 7 


97 64 


9810 


9 85 7 


99 o4 


99 5o 


45 


i4 


6382 


6428 


6474 


6520 


6566 


6612 


45 


i5 


9997 


..44 


..90 


.i3 7 


.184 


.230 


44 


i5 


6658 


6704 


6750 


6796 


6842 


6888 


44 


16 


9 .8oo2 77 


0324 


o3 7 o 




o463 


o5io 


43 


16 


6 9 33 


6979 


7025 


7071 


7117 


7 i63 


43 


I 7 


o55 7 


o6o3 


o65o 


o6 97 


o 7 43 


79 


42 


17 


7 20 9 


7 255 


73oi 


7 34 7 


7 3 9 2 


7438 


42 


18 


o836 


o883 


ogSo 


o 97 6 


1023 


I0 7 O 


4i 


18 


7484 


7 53o 


7 5 7 6 


7622 


7 668 


7714 


4i 


19 


1116 


n63 


1209 


1256 


i3o3 


1 349 


4o 


i 9 


77 5 9 


7805 


785i 


7897 


7943 


79 8 9 


4o 


20 


9 .8oi3 9 6 


1442 


1489 


i535 


i58 2 


1629 


3 9 


20 


9 .8i8o35 


8081 


8126 


8172 


8218 


8264 


3 9 


21 


1675 


1722 


1768 


i8i5 


1862 


1908 


38 


21 


83io 


8356 


8402 


8447 


84 9 3 


853 9 


38 


22 


i 9 55 


2OOI 


2048 


so 9 4 


2l4l 


2l8 7 


3 7 


22 


8585 


863i 


8677 


8722 


8 7 68 


8814 


37 


23 


2234 


228l 


2327 


23 7 4 


2420 


246 7 


36 


23 


8860 


8 9 o6 


8 9 52 


8997 


9 o43 


9 o8 9 


36 


24 


2 5i3 


256o 


2606 


2653 


26 99 


2 7 46 


35 


24 


9 i35 


9 i8i 


9 226 


9272 


9 3i8 


9 364 


35 


25 


2 79 2 


283 9 


2886 


2 9 32 


2979 


3o25 


34 


25 


9 4io 


9 455 


9 5oi 


954 7 


9 5 9 3 


9 63 9 


34 


26 


3072 


3n8 


3i65 


3211 


3 2 58 


33o4 


33 


26 


9684 


97 3o 


9776 


9822 


9 868 


99 i3 


33 


27 


335i 


33 97 


3444 


34 9 o 


353 7 


3583 


32 


2 7 


99 5 9 






..96 


.142 


.188 


32 


28 


363o 


3676 


3 7 23 


3 7 6 9 


38i6 


3862 


3i 


28 


9.820234 


0280 


o3 2 5 


o3 7 i 


o4i 7 


o463 


3i 


29 


3 9 o 9 


3 9 55 


4ooi 


4o48 


4o 9 4 


4i4i 


3o 


2 9 


o5o8 


o554 


0600 


o646 


o6 9 i 


o 7 3 7 


3o 


3o 


9 .8o4i8 7 


4234 


4280 


432 7 


43 7 3 


4420 


2 9 


3o 


9:820783 


o82 9 


o8 7 4 


0920 


0966 


1012 


2 9 


3i 


4466 


45i3 


4559 


46o5 


465 2 


46 9 8 


28 


3i 


1057 


no3 


n4 9 


iigS 


1240 


1286 


28 


32 


4745 


47 9 i 


4838 


4884 


4 9 3o 


4977 


27 


32 


i33 2 


i3 77 


1423 


1469 


i5i5 


i56o 


2 7 


33 


5o23 


5070 


5n6 


5i63 


520 9 


5 2 55 


26 


33 


1606 


i652 


i6 97 


1743 


1789 


i835 


26 


34 


5302 


5348 


53 9 5 


544i 


548 7 


5534 


25 


34 


1880 


I 9 26 


I 97 2 


2017 


ao63 


2I0 9 


25 


35 


558o 


5627 


56 7 3 


5 7 i 9 


5766 


58i2 


24 


35 


2i54 


22OO 


2246 


2292 


-33 7 


2383 


24 


36 


585 9 


5 9 o5 


5 9 5i 


5 99 8 


6o44 


6091 


23 


36 


2429 


24 7 4 


2520 


2566 


2611 


265 7 


23 


37 


6i3 7 


6i83 


623o 


62 7 6 


6322 


636 9 


22 


37 


2703 


2 7 48 


2 79 4 


2840 


2885 


2 9 3i 


22 


38 


64i5 


6462 


65o8 


6554 


6601 


664 7 


21 


38 


2977 


3022 


3o68 


3n4 


3i5 9 


3 2 o5 


21 


3 9 


66 9 3 


6740 


6786 


6832 


68 79 


6925 


20 


3 9 


3 2 5i 


32 9 6 


3342 


338 7 


3433 


34 79 


20 


4o 


9 806971 


7018 


7064 


7 IIO 


7 i5 7 


7 203 


I 9 


4o 


9 . 823524 


35 7 o 


36i6 


366i 


3 7 o 7 


3 7 53 


1 9 


4i 


7249 


7296 


7342 


7 388 


7435 


7 48i 


18 


4i 


3798 


3844 


388 9 


3 9 35 


3 9 8i 


4026 


18 


42 


7527 


7 5 7 4 


7620 


7 666 


77 i3 


77 5 9 


17 


42 


4072 


4u 7 


4i63 


4209 


4254 


43oo 


17 


43 


7 8o5 


7 85i 


7898 


79 44 


799 


8o3 7 


16 


43 


4345 


43 9 i 


44?7 


4482 


4528 


45 7 3 


16 


44 


8o83 


8129 


8176 


8222 


8268 


83i4 


i5 


44 


46i 9 


4665 


4710 


4756 


48oi 


4847 


i5 


45 


836i 


84o 7 


8453 


84 99 


8546 


8592 


i4 


45 


48 9 3 


4 9 38 


4 9 84 


5029 


5o 7 5 


5l2O 


i4 


46 


8638 


8685 


8 7 3i 


8777 


88a3 


88 7 o 


i3 


46 


5i66 


5212 


525 7 


53o3 


5348 


53 9 4 


i3 


4 7 


8 9 i6 


8962 


9008 


9 o55 


9 ioi 


9147 


12 


47 


54>9 


5485 


553i 


55 7 6 


5622 


5667 


12 


48 


9 i 9 3 


9240 


9286 


9 332 


9 3 7 8 


9424 


II 


48 


5 7 i3 


5 7 58 


58o4 


5849 


58 9 5 


5 9 4o 


II 


49 


947i 


9 5i 7 


9 563 


9 6o 9 


9 656 


9 7 02 


IO 


49 


5 9 86 


6o32 


6077 


6i23 


6168 


6214 


IO 


5o 


9 .8o 97 48 


9794 


9840 


9887 


99 33 


9979 


9 


5o 


9 .82625 9 


63o5 


635o 


63 9 6 


644i 


648 7 


9 


5i 


9 . 810025 


0071 


0118 


0164 


0210 


0256 


8 


5i 


6532 


65 7 8 


6623 


6669 


6 7 i4 


6760 


8 


52 


o3o2 


o34 9 


o3 9 5 


o44i 


o48 7 


o533 


7 


52 


68o5 


685i 


68 9 6 


6942 


6 9 8 7 


7o33 


7 


53 


o58o 


0626 


0672 


0718 


o 7 64 


0810 


6 


53 


7078 


7 I24 


7 i6 9 


7 2l5 


7260 


7 3o6 


6 


54 


o85 7 


o 9 o3 


0949 


o 99 5 


io4i 


io8 7 


5 


54 


735i 


7397 


7 442 


7 488 


7 533 


7 5 79 


5 


. 55 


1 1 34 


1180 


1226 


I2 7 2 


i3i8 


1 364 


4 


55 


7624 


7 6 7 o 


77 i5 


776i 


7806 


7 85i 


4 


56 


i4io 


i45 7 


i5o3 


I 549 


i5 9 5 


i64i 


3 


56 


7897 


7942 


7988 


8o33 


8o 79 


8124 


3 


5 7 


1687 


i 7 33 


1780 


:826 


l8 7 2 


1918 


2 


57 


8170 


82i5 


8261 


83o6 


835i 


83 97 


2 


58 


i 9 64 


2010 


2o56 


2IO2 


2l4 9 


2195 


I 


58 


8442 


8488 


8533 


85 7 9 


8624 


866 9 


1 


5 9 


224l 


228 7 


2333 


2 3 79 


2425 


2471 


O 


5 9 


8 7 i5 


8760 


8806 


885i 


88 97 


8 9 42 


O 




60" 


50" 


40" 


30" 


20" 


10" 


a 




60" 


50" | 40" 


?0" 


20" 


10" 


. 




Co-tangent of 57 Degrees. 


a 




Co-tangent of 56 Degrees. 


a 


f 1 // a// o// AH c// en 7/7 Q// a/i 
P T*nrt I **** ^* ** "D ' o I/ 


. ( 1" 2" 3" 4" 5" 6" 7" 8" 9" 




ir I 5 9 14 18 23 27 32 37 41 



58 



LOGARITHMIC SINES 



.3 


Sine of 34 Degrees. 




rf 


Sine of 35 Degrees. 


1 


s 


0" 


10" 


20" 30" 


40" 


50" 




s 


0" | 10" | 20" 


30'' 


40" 


50" 




o 


9.747562 


7 5 9 3 


7624 7655 


7 686 


7718 


5 9 


o 9 . 7 585 9 i 8621 


865i 


8681 8712 


8 7 42 


5 9 


I 


7749 


77 8o 


7811 7842 


7874 


79 5 


58 


i 


87728802 


8832 8862i88 9 2 


8922 


58 


2 


7936 


7967 


7998 8o3o 


8061 


8o 9 2 


5 7 


2 


8 9 52 8 9 82 


9 OI2| 9 042 9072 


9IO2 


57 


L 


8i23 
83io 


8i54 
834i 


8i8582i6 
83 7 2 84o3 


8248 
8434 


8466 


56 
55 


L 


9 l32 9 l62 
9 3l2 9 342 


9 1 9 2 9 222 9262 

9 3 7 2 9 4o2 9 432 


9282 
9 462 


56 
55 


5 


8497 


85 2 8 85598590 


8621 


8652 


54 


5 


9 4 9 2 9 522 


95529582 


9612 


9 642 


54 


6 


8683 


8 7 i4 


8745,8777 


8808 


883 9 


53 


6 


9 672 


97 02 


9732 


97 6 2 


979 2 


9822 


53 


7 


8870 


8901 


8 9 328 9 63 


8 99 4 


9 025 


52 


7 


9 852 


9 88i 


99" 


99 4i 


99-71 


... I 


5 2 


8 


9 o56 


9 o8 7 


9118 9149 


9180 


9 2I2 


5i 


8 


9 . 76003 1 


0061 


0091 


OI2I 


oi5i 


0181 


5i 


9 


9 243 


9 274' 9 3o5 9 336 


9 36 7 


9 3 9 8 


5o 


9 


O2I I 


0240 


02 7 


o3oo 


o33o 


o36o 


5o 


10 


9 . 7 4 9 42 9 


9460 9491 9522 


9 553 


9 584 


49 


IO 


9. 760390 


0420 


o45o 


o48o 


0509 


o53 9 


49 


n 


9 6i5 


9646 967-7 9-708 


9739 


9770 


48 


n 


o56 9 


o5 99 


0629 


o65 9 


0689 


0718 


48 


12 


9 8oi 


9832 


9863 9894 


99 25 


99 56 


47 


12 


o 7 48 


o 77 8 


0808 


o838 


0868 


0898 


47 


i3 


9987 


..18 


..48.. 79 


. no 




46 


\l 


9 2 7 


o 9 5 7 


o 9 8 7 


IOI 7 


io4 7 


1076 


46 


i4 


9 . 750172 


0203 


0234 0265 


O2 9 6 


032 7 


45 


i4 


I I 06 


ii36 


1166 


1196 


1225 


1255 


45 


i5 


o358 


0389 


0420 o45i 


0482 


O5l2 


44 


i5 


1285 


i3i5 


1 345 


i3 7 4 


i4o4 


i434 


44 


16 


o543 


o5 7 4 o6o5;o636 


066-7 


o6 9 8 


43 


16 


1 464 


i4 9 4 


i5 2 3 


i553 


i583 


i6i3 


43 


I 7 


o 7 2 9 


0760 


0791 


0821 


o85 2 


o883 


42 


17 


1642 


16-72 


I 7 02 


I 7 32 


i 7 6i 


1791 


42 


18 


o 9 M 


0945 O9 7 6 ioo 7 


io3 7 


1068 


4i 


18 


1821 


i85i 


1880 


1910 


1940 


1969 


4i 


19 


io 99 


ii3o 


i i6i|i 192 


1222 


1253 


4o 


'9 


1999 


2O2 9 


2059 


2088 


21 18 


2148 


4o 


20 


9 . 7 5i284 


i3i5 


i346 1377 


i4o 7 


i438 


3 9 


20 


9. 7 62i 77 


22O 7 


223 7 


2267 


2296 


2326 


39 


21 


i46 9 


i5oo 


i53i 


i56i 


l5 9 2 


1623 


38 


21 


2356 


2385 


2 4i5 


2445 


24 7 4 


25o4 


38 


22 


i654 


1 685 


1715 1746 


I 777 


1808 


37 


22 


2534 


2563 


25 9 3 


2623 


2652 


2682 


37 


23 


i83 9 


1869 


1900 1931 


I 9 62 


I 99 2 


36 


23 


2 7 I2 


2 7 4i 


2 77 I 


2801 


283o 


2860 


36 


24 


2O23 


2o54 2o85 2ii5 


2146 


2I 77 


35 


24 


2889 


2 9 I 9 


2949 


2978 


3oo8 


3o38 


35 


25 


22O8 


2238 


2269 23oo 


233o 


236i 


34 


25 


3o6 7 


3o 97 


3i26 


3i56 


3i86 


3 2 i5 


34 


26 


23 9 2 


3423,2453 2484 


2 5i5 


2545 


33 


26 


3245 


32 7 4 


33o4 


3333 


3363 


33 9 3 


33 


27 


2576 


26o 7 263 7 


2668 


26 99 


2 7 2 9 


32 


27 


3422 


3452 


348i 


35ii 


354o 


35 7 o 


32 


28 


2760 


2 79 I 


2822 2852 


2883 


2 9 i4 


3i 


28 


36oo 


362 9 


365 9 


3688 


3 7 i8 


3 7 4 7 


3i 


2 9 


2 9 44 


2 97 5 


3oo5 3o36 


3o6 7 


3o 97 


3o 


29 


3777 


38o6 


3836 


3865 


38 9 5 


3 9 25 


3o 


3o 


9 . 7 53i28 


3i5 9 


3l8g 3220 


3 2 5i 


3281 


2 9 


3o 


9 . 7 63 9 54 


3 9 84 


4oi3 


4o43 


4o 7 2 


4102 


2 9 


3i 


33i2 


3342 


33 7 3 34o4 


3434 


3465 


28 


3i 


4i3i 


4i6i 


4i 9 o 




4249 


42 7 9 


28 


32 


. 34 9 5 


3526 355 7 


358 7 


36i8 


3648 


2 7 


32 


43o8 


4338 


436 7 


43 9 6 


4426 


4455 


2 7 


33 


36 79 


3 7 io 3 7 4o 


3 77 i 


38oi 


3832 


26 


33 


4485 


45i4 


4544 


45 7 3 


46o3 


4632 


26 


34 


3862 


38 9 3 


3923 


3 9 54 


3 9 85 


4oi5 


25 


34 


4662 


46 9 i 


4 7 20 


475o 


4779 


48o 9 


25 


35 
36 


4o46 

422 9 


4o 7 6 4io 7 
42594290 


4i3 7 

4320 


4i684i 9 8 
435i 438i 


24 
23 


35 
36 


4838 
5oi5 


4868 
5o44 


48 97 
5o 7 4 


5io3 


4g56 


4 9 85 
5i6 2 


24 
23 


37 


44 1 2 


4442 


4473 


45o3 


4534 4564 


22 


37 


5i 9 i 


5221 


525o 


5279 


53o 9 


5338 


22 


38 


45 9 5 


46254656 


4686 


4 7 i 7 4 7 4 7 


21 


38 


536 7 


53 97 


5426 


5456 


5485 


55i4 


21 


3 9 


4778 


48o8 4839 


486 9 


4 9 oo 4 9 3o 


20 


3 9 


5544 


55 7 3 


56o2 


5632 


566i 


5690 


20 


4o 


9. 754960 


4991 5o2t 


5o52 


5o8 2 :5n3 


I 9 


4o 


9 . 765720 


5 7 4 9 


5778 


58o8 


583 7 


5866 


I 9 


4i 


5i43 


5i 7 3 


52o4 


5 2 34 


5265 52 9 5 


18 


4i 


58 9 6 


5 9 25 


5 9 54 


5 9 84 


6oi3 


6042 


18 


42 


5326 


53565386 


54i 7 


54475478 


17 


42 


6072 


6101 


6i3o 


6i5 9 


6189 


6218 


i 7 


43 


55o8 


5538 


5569 


55 99 


562 9 566o 


16 


43 


6247 


62 77 


63o6 


6335 


6364 


63 9 4 


16 


44 


5690 


5 7 2I 


5 7 5i 


5 7 8i 


58i2;5842 


i5 


44 


6423 


6452 


648 1 


65n 


654 


656 9 


i5 


45 


58 7 2 


5 9 o3 


5 9 33 


5 9 63 


5 99 4 6024 


i4 


45 


65 9 8 


6628 


665 7 


6686 


6 7 i5 


6 7 45 


i4 


46 


6o54 


6o856n5 


6i45 


61766206 


i3 


46 


6 77 4 


68o3 


6832 


6862 


6891 


6 9 20 


i3 


47 


6 2 36 


626 7 629 7 


632 7 


63586388 


12 


47 


6 9 4 9 


6 97 8 


7 oo8 


7 3 7 


7 o66 


7 o 9 5 


12 


00 O O 
xjxjvo 


64i8 
6600 
9.756782 


6448 64 7 9 
663o 6660 
6812 6842 


65o 9 653 9 |65 7 o 
66 9 ii6 7 2i:6 7 5i 
68 7 2 6 9 o3 6 9 33 


IO 

9 


48 

49 
5o 


7124 
73oo 

9 . 767475 


7 i54 
7 3 29 
7 5o4 


7 i83 
7 358 
7 533 


7212 
7 38 7 
7 562 


7241 
7 4i6 
7 5 9 i 


7270 
7 445 

7 620 


I I 
IO 

9 


5i 


6 9 63 


6993 7 O23 


7 o54 


708417114 


8 


5i 




7679 


77 o8 


77 3 7 


7766 


779 5 


8 


52 


7i44 


7 i 7 5 7 2o5 


7 235 


7265 72 9 5 


7 


52 


7824 


7 853 


7882 


-7912 


79 4i 


797 


7 


53 


7 3 2 6 


7 356 7 386 


7 4i6 


7446 7477 


6 


53 


7999 


8028 


8o5 7 


8086 


3ii5 


8i44 


6 


54 


7507 


7537 7 56 7 


7 5 97 


7627 7658 


5 


54 


8i 7 3 


82o3 


8232 


8261 


^290 


83i 9 


5 


55 


7688 


77187748 


7778 


7808 783 9 


4 


55 


83488377 


84o6 8435 


8464 


84 9 3 4 


56 


7869 


7899 7929 7959 


7 9 8 9 8oi 9 


3 


56 


85228551 


8580860986388668 


3 


57 
58 


8o5o 
823o 


8080 8110 8i4o 
826082908321 


8170 8200 
835i 838i 


2 


57 
58 


86 9 7 8726 
8871 8 9 oo 


8 7 558 7 84 
8 9 2 9 !8 9 58 


88 1 3 8842 
8987 9016 


2 


5 9 


84ii 


844i 8471 85oi 


853i 856i 


O 


5 9 


9 o45 9 o 7 4 9 io3 9 i32 9 i6i 


9 i 9 o 


O 




60" 


50" : 


40" 30" 20" 10" 


. 




60" 50" 40" | 30" 20" 


10" 1 




Co-sine of 55 Degrees. 


s 




Co-sine of 54 Degrees. 





P '*H 1 3 2 e' 3 9" 


4" 5" 6" 7" 8" 9" 
12 15 18 21 25 28 


p p .< 1" 2" 3" 4" 5" 6" 7" B" 9" 
} 3 6 9 12 15 18 21 24 27 



LOGARITHMIC TANGENTS. 



1 

-S 


Tangent of 34 Degrees. 




.3 


Tangent of 35 Degrees. 




9 


0" 


10" | 20" 


30" 


40" 50" 




9 


0" 


10" 


20" 


30" 


40" 


50" 







9.828987 


9 o33 9 o 7 8 


9124 


9 i6g! 9 2i5 


5 9 


o 


9 . 845227 


52 7 2 


53i6 


536i 


54o6 


545 1 


5 9 


I 


9260 


9 3o5 9 35i 


9 3 9 6 


9 442 


9 48 7 58 


I 


54 9 6 


554o 


5585 


563o 


56 7 5 


5 7 2O 


58 


2 


9 532 


9 5 7 8 


9 623 


9669 


97 i4 


97 5 9 


57 


2 


5 7 64 


58o 9 


5854 


58 99 


5 9 44 


5 9 88 


5 7 





9805 


9 85o 


9 8 9 5 gg4i 


99 86 


..32 


56 


3 


6o33 


6o 7 8 


6i23 


6168 


6212 


625 7 


56 


4 


9.830077 


0122 


0!68 


02l3 


0258 


o3o4 


55 


4 


63o2 


6347 


63 9 i 


6436 


648i 


65 2 6 


55 


c 


o349 


o3 9 5 


o44o 


o485 


o53i 


o5 7 6 


54 


5 


6570 


66i5 


6660 


6 7 o5 


6 7 5o 


6 79 4 


54 


6 


0621 


o66 7 


7 I2 


7 5 7 


o8o3 


0848 


53 


6 


683 9 


6884 


6 9 2 9 


6 97 3 


7 oi8 


7 o63 


53 


7 


0893 


o 9 3 9 


o 9 84 


1029 


io 7 5 


1120 


52 


7 


7108 


7i52 


7 i 9 7 


-7242 


7287 


7 33i 


52 




n65 


I2II 


1256 


i3oi 


i34 7 


i3 9 2 


5! 


8 


7 3 7 6 


7 42i 


7465 


7 5io 


7 555 


7 6oo 


5i 


9 


i43 7 


i483 


i5 2 8 


i5 7 3 


i6i 9 


1 664 


5o 


9 


7 644 


7 68 9 


77 34 


7779 


7 8 2 3 


-7868 


5o 


10 


9.831709 


i 7 55 


1800 


i845 


i8 9 i 


i 9 36 


49 


IO 


9 .84 79 i3 


79 5 7 


8002 


8047 


8092 


8i36 


49 


ii 


1981 


2026 


2O 7 2 


2117 


2162 


2208 


48 


ii 


8181 


8226 


8270 


83i5 


836o 


84o5 


48 


12 


2253 


22 9 8 


2 343 


2 38 9 


2434 


24 79 


4? 


12 


844 9 


84 9 4 


853 9 


8583 


8628 


86 7 3 


47 


i3 


2525 


25 7 O 


26i5 


2660 


2-706 


2751 


46 


i3 


8 7 i 7 


8762 


8807 


885i 


8896 


8 9 4i 


46 


i4 


2796 


2842 


2 88 7 


2 9 32 


2977 


3o23 


45 


i4 


8 9 86 


9 o3o 


9 o 7 5 


9 I20 


9164 


9 20 9 


45 


i5 


3o68 3n3 


3i58 


3204 


324 9 


32 9 4 


44 


i5 


92 54 


9 2 9 8 


9 343 


9 388 


9 43 2 


9477 


44 


16 


333 9 


3385 


343o 


3475 


3520 


3566 


43 


16 


9 522 


9 566 


9 6n 


9 656 


97 oo 


9745 


43 


! 7 


36ii 


3656 


3 7 oi 


3 7 4 7 


3 79 2 


3837 


42 


17 


979 


9 834 


9879 


99 24 


9968 


. .i3 


42 


' 18 


3882 


3927 


3 97 3 


4oi8 


4o63 


4io8 


4i 


18 


9 .85oo5 7 


OIO2 


0147 


oi 9 i 


0236 


0281 


4i 


19 


4i54 


4199 


4244 


428g 


4334 


438o 


4o 


i 9 


o325 


0370 


o4i5 


o45 9 


o5o4 


o548 


4o 


20 


9.834425 


44 7 o 


45:5 


456i 


46o6 


465i 


3 9 


20 


9 .85o5 9 3 


o638 


0682 


7 2 7 


77 2 


0816 


39 


21 


4696 


4 7 4i 


4 7 8 7 


4832 


48 7 7 


4 9 22 


38 


21 


0861 


o 9 o5 


o 9 5o 


o 99 5 


1039 


1084 


38 


22 


4967 


5012 


5o58 


5io3 


5i48 


5i 9 3 


37 


22 


II2 9 


u 7 3 


1218 


1262 


i3o 7 


i352 


37 


23 


5238 


5 2 84 


532 9 


53 7 4 


54i 9 


5464 


36 


23 


i3 9 6 


i44i 


i485 


i53o 


i5 7 5 


i6i 9 


36 


24 


55o 9 


5555 


56oo 


5645 


56 9 o 


5 7 35 


35 


24 


1 664 


1708 


i 7 53 


i 797 


1842 


i88 7 


35 


25 


5780 


58 2 6 


58 7 i 


5 9 i6 


5 9 6i 


5oo6 


34 


25 


I 9 3i 


i 9 76 


2O2O 


2o65 


2110 


2i54 


34 


26 


6o5i 


6o 9 6 


6 1 42 


6i8 7 


6232 


62 77 


33 


26 


2199 


2243 


2288 


2332 


23 77 


2422 


33 


2 7 


6322 


636 7 


6412 


6458 


65o3 


6548 


32 


27 


2466 


25ll 


2 555 


2600 


2644 


2689 


32 


28 


65 9 3 


6638 


6683 


6728 


6 77 3 


68i 9 


3i 


28 


2 7 33 


2778 


2823 


286-7 


2912 


2 9 56 


3i 


29 


6864 


6 9 o 9 


6 9 54 


6 999 


7 o44 


7o8 9 


3o 


29 


3ooi 


3o45 


3ogo 


3i34 


3i 79 


3223 


3o 


3o 


9 .83 7 i34 


7 J 79 


7 225 


7 2 7 


7 3i5 


7 36o 


2 9 


3o 


9. 353268 


33i3 


335 7 


3402 


3446 


34 9 i 


2 9 


3i 


74o5 


7 45o 


7 4 9 5 


7 54o 


7 585 


7 63o 


28 


3i 


3535 


358o 


3624 


366 9 


3 7 i3 


3 7 58 


28 


32 


7 6 7 5 


7721 


77 66 


7 8n 


7 856 


7 9 oi 


2 7 


32 


38o2 


3847 


38gi 


3 9 36 


3 9 8o 


4o25 


2 7 


33 


7946 


799 1 


8o36 


8081 


8126 


8171 


26 


33 


4o6 9 


4n4 


4i58 


4203 


424 7 


4292 


26 


34 


8216 


8261 


83o 7 


8352 


83 97 


8442 


25 


34 


4336 


438i 


4425 


44 7 o 


45i4 


455 9 


25 


35 


848 7 


8532 


86778622 


8667 


8712 


24 


35 


46o3 


4648 


46 9 2 


4 7 3 7 


4781 


4826 


24 


36 


8 7 5 7 


8802 


884 7 


88 9 2 


8937 


8 9 8a 


23 


36 


48 7 o 


4 9 i5 


4 9 5 9 


5oo4 


5o48 


5o 9 3 


23 


37 


9 02 7 


9 7 2 


9 n 7 


9 l62 


9 20 7 


9 252 


22 


37 


5i3 7 


5i82 


5226 


52 7 I 


53i5 


536o 


22 


38 


9 2 97 


9 343 


9 388 


9 433 


9 478 


9 523 


21 


38 


54o4 


544 9 


54 9 3 


5537 


5582 


5626 


21 


39 


9 568 


9 6i3 


9 658 


97 o3 


97 48 


9793 


2O 


39 


56 7 i 


5 7 i5 


5760 


58o4 


584 9 


58 9 3 


2O 


4o 


9 .83 9 838 


9 883 


99 28 


9973 


..18 


..63 


I 9 


4o 


9 .855 9 38 


5 9 82 


6026 


6071 


6n5 


6160 


19 


4i 


9 .84oio8 


oi53 


oi 9 8 


0243 


0288 


o333 


18 


4i 


6204 


624 9 


62 9 3 


6338 


6382 


6426 


1 8 


42 


o3 7 8 


0423 


o468 


o5i3 


o558 


o6o3 


'7 


42 


647i 


65i5 


656o 


66o4 


6649 


66g3 


17 


43 


o648 


o6 9 3 


o 7 3 7 


0-782 


0827 


0872 


16 


43 


6 7 3 7 


6782 


6826 


6871 


6915 


6 9 5 9 


16 


44 


o 9 i 7 


9 62 


100-7 


1052 


io 97 


Il42 


i5 


44 


7 oo4 


7 o48 


7 o 9 3 


7 i3 7 


-7182 


7226 


i5 


45 


n8 7 


1232 


I2 77 


1322 


i36 7 


l4l2 


i4 


45 


7 2 7 


7 3i5 


7 35 9 


7404 


7 448 


7 4 9 2 


i4 


46 


i45 7 


1502 


1 54? 


l5 9 2 


i63 7 


1682 


i3 


46 


7 53 7 


7 58i 


7 626 


7670 


77 i4 


77 5g 


i3 


47 


I 7 2 7 


1771 


1816 


1861 


1906 


i 9 5i 


12 


47 


7 8o3 


7 848 


7 8 9 2 


7936 


7981 


8c25 


12 


48 


I 99 6 


2o4l 


2086 


2l3l 


2176 


2221 


I I 


48 


8o6 9 


8n4 


8i58 


8203 


8247 


82 9 i 


II 


49 


2266 


23ll 


2355 


2400 


2445 


24 9 


IO 


49 


8336 


838o 


8424 


846 9 


85i3 


8558 


10 


5o 


9 842535 


2 5 80 


2625 


26-70 


2715 


2760 


9 


5o 


9 . 858602 


8646 


86 9 i 


8735 


8779 


8824 


9 


5i 


2 8o5 


2 84 9 


2894 


2 9 3 9 


2 9 84 


3o2 9 


8 


5i 


8868 


8 9 I2 


8 9 5 7 


9 ooi 


9045 


9090 


8 


52 


3o 7 4 


3ii 9 


3i64 


320 9 


3253 


32 9 8 


7 


52 


9 i34 


9 i 7 8 


9 223 


9267 


9 3n 


9 356 


7 


53 


3343 


3388 


3433 


34 7 8 


3523 


3568 


6 


53 


9 4oo 


9 444 


9 48 9 


9 533 


9 5 77 


9622 


6 


54 


36i2 


365 7 


3702 


3 7 4 7 


3 79 2 


383 7 


5 


54 


9 666 


97 io 


97 55 


9799 


9843 9888 


5 


55 


3882 


3 9 2 7 


3 97 i 


4oi6 


4o6i 


4io6 


4 


55 


99 32 


997 6 


. .21 


..65 


.109). i54 


4 


56 


4i5i 


4i 9 6 


4241 


4285 


433o 


43 7 5 


3 


56 


9 .86oi 9 8 


0242 


028 7 


o33i 


o3 7 5io42o 


3 


5 7 


4420 


4465 


45io 


4554 


45gg 


4644 


2 


5 7 


o464 


o5o8 


o55 2 


o5 9 7 o64i o685 


2 


58 
5 9 


468 9 
4 9 58 


4 7 34 
5oo3 


4779 
5o48 


48 2 3 
5o 9 2 


4868 
5i3 7 


5?8 2 


I 



58 
5 9 


o 7 3o 
o 99 5 


0774 
io4o 


0818 
io84 


0862 090-7,0951 

II28JII72 1217 


I 
O 




60" 


50" 40" 


30" 


20" 


10" 


. 




60" [ 50" 40" 30" 20" j 10" 


a 




Co-tangent of 55 Degrees. 


& 




Co-tangent of 54 Degrees. 




.< \" 2" 3" 4" 5" 6" 7" 8" 9" 


.( 1" 2" 3" 4" 5" 6" 7" S" 9" 


in \ 5 9 14 18 23 27 32 36 41 


irt l 4 9 13 18 22 27 31 36 40 



LOGARITHMIC SINES. 



d 
D 


Sine of 36 Degrees. 


_ s - 


Sine of 37 Degrees. 




H 


0" 


10" 20" 


30' 


40" 50" 




s 


0" 


10" 


20" | 30" 1 40" 


50" 




o 


9.769219 


92489277 


9 3o6 


9 335 9 364i5 9 


o 


9-779463 


9 4 9 i 


9 5i 9 | 9 547 9 575 


9603 


5 9 


i 


9 3 9 3 


9421 


9 45o 9 47 9 


9 5o8 953-7 


58 


i 


9 63i 


9 65 9 


9 686 9 7i4 9742 


977 


58 


2 


9 566 


9 5 9 5 


9 624 9 653 


9682 9711 


5? 


2 


979 8 


9 826 


9 854 


9 882 


9910 


9938 


57 


3 


97 4o 


9769 


979 8 9 82 7 


9 856 9884 


56 


3 


99 66 


999 3 


. .21 


. .4 9 


77 


.io5 


56 


4 


99 i3 


9942 


997 i 


. . . . 


..29 


..58 


55 


4 


9 . 78oi33 


0161 


oi8 9 


0216 


0244 


0272 


55 


5 


9.770087 


0116 


oi45 0173 


O202 O23l 


54 


5 


o3oo 


o3 2 8 


o356 


o384 


o4n 


o43 9 


54 


6 


0260 


0289 


o3i8o347 


0376 o4o4 


53 


6 


0467 


o4 9 5 


o523 


o55i 


o5 7 8 


0606 


53 


7 


o433 


0462 


o4 9 i 


O520 


o54 9 jo577 


52 


7 


o634 


0662 


o6 9 o 


0718 


o 7 45 


077$ 


52 


8 


0606 


o635 


o664 o6 9 3 


072210750 


5i 


8 


0801 


o82 9 


o85 7 


0884 


0912 


0940 


5i 


9 


0779 


0808 


08370866 


0895 0923 


5o 


9 


o 9 68 


o 99 6 


1023 


io5i 


1079 


1107 


5o 


10 


9.7709520981 


IOIO 


io3 9 


1067 1096 


49 


IO 


9.781134 


1162 


II 9 O 


1218 


1246 


1273 


49 


ii 


ii 2 5ii54 


n83 


121 I 


1240)1269 


48 


ii 


i3oi 


i32 9 


i35 7 


1 384 


l4l2 


i44o 


48 


12 


1298 i326 


i355 


1 384 


i4i3 i44i 


47 


12 


i468 


i4 9 5 


i523 


i55i 


1578 


1606 


47 


i3 


1470 


1499 


i5 2 8 


i556 


i585 1614 


46 


i3 


i634 


1662 


i68 9 


1717 


1745 


1772 


46 


i4 


1 643 


1671 


1700 


I 7 2 9 


1758 1786 


45 


i4 


1800 


1828 


i856 


i883 


1911 


1939 


45 


i5 


i8i5 


1 844 


1872 


I 9 OI 


i 9 3oi 9 5 9 


44 


i5 


i 9 66 


i 99 4 


2O22 


204 9 


2077 


2105 


44 


16 


1987 


2016 


2o45 


2073 


2102 2l3l 


43 


16 


' 2l32 


2160 


2188 


22l5 


2243 


2271 


43 


17 


2159 


2188 


2217 


2245 


2274 23o3 


42 


17 


22 9 8 


2326 


2354 


2 38i 


2409 


2437 


42 


18 


233i 


236o 


238 9 


2417 


2446 2475 


4i 


18 


2464 


24 9 2 


252O 


2547 


25 7 5 


2602 


4i 


I 9 


25o3 


2532 


2 56i 


258 9 


2618 2646 


4o 


i 9 


263o 


2658 


2685 


2713 


2741 


2768 


4o 


20 9 . 772675 


2704 


2732 


2761 


2790 


2818 


39 


20 


9 .7827 9 6 


2823 


2 85i 


287 9 


2906 


2 9 34 


39 


21 


2847 


28 7 5 


2 9 04 


2 9 33 


2961 


2 99 


38 


21 


2 9 6i 


2 9 8 9 


3017 


3o44 


3072 


3o 99 


38 


22 


3oi8 


3o47 


8076 


3io4 


3i33 


3i6i 


37 


22 


3127 


3i54 


3i8 2 


3210 


3 2 3 7 


3 2 65 


3 7 


23 


3190 


3219 


3247 


32 7 6 


33o4 


3333 


36 


23 


32 9 2 


3320 


334 7 


33 7 5 


34o2 


343o 


36 


24 


336i 


3390 


34i8 


3447 


34 7 6 


35o4 


35 


24 


3458 


3485 


35i3 


354o 


3568 


35 9 5 


35 


25 


3533 


356i 


35 9 o 


36i8 


364 7 


36 7 5 


34 


25 


3623 


365o 


36 7 8 


3 7 o5 


3 7 33 


3 7 6o 


34 


26 


3704 


3 7 3 2 


3 7 6i 


3789 


38i8 


3846 


33 


26 


3788 


38i5 


3843 


3870 


3898 


3 9 25 


33 


27 


38 7 5 


3903 




3 9 6o 


3 9 8 9 


4017 


32 


2 7 


3 9 53 


3 9 o 4oo8 


4o35 


4o63 


4o 9 o 


32 


28 


4o46 


4074 


4io34i3i 


4i6o 


4i88 


3i 


28 


4n8 


4i45 


4i73 


4200 


4228 


4255 


3i 


29 


4217 


4245 


42 7 4 


4302 


433i 


435 9 


3o 


2 9 


4282 


43io 


433 7 


4365 


43 9 2 


4420 


3o 


309.774388 


44x6 


4445 4473 


45oi 


453o 


2 9 


3o 


9 . 784447 


4475 


45o2 


452 9 


455 7 


4584 


2 9 


3i 


4558 


458 7 


46i5464446 7 2 


4700 


28 


3i 


4612 


463 9 


466 7 


45 9 4 


4721 


4 7 4 9 


28 


32 


4729 


4 7 5 7 


4786 48i4'4842 


48 7 i 


27 


32 


4776 


48o4 


483i 


4858 


4886 


4 9 i3 


2 7 


33 
34 


48 99 
5070 


4928 
5098 


4 9 564 9 855oi3|5o4i 
5i265i55|5i835 2 i2 


26 

25 


33 

34 


4 9 4i 
5io5 


4 9 68 
5i32 


4 99 5 
5 1 60 


5o 2 3 
5187 


5o5o 
5 2 i4 


5o 7 8 
5242 


26 
25 


35 


524o 


5268 


52 9 7 


53255353 


5382 


24 


35 


5 2 6 9 


52 9 6 


5324 


535i 


53 7 8 


54o6 


24 


36 


54io 


5438 


5467 54 9 5 


55 2 3 


5552 


23 


36 


5433 


546i 


5488 


55i5 


5543 


55 7 o 


23 


37 


558o 


56o8 


563 7 5665 


56 9 3 


5722 


22 


37 


55 97 


5624 


5652 


567 9 


5 7 o6 


5 7 34 


22 


38 


5 7 5o 


5 77 8 


58o 7 


5835 5863 


58 9 2 


21 


38 


5 7 6i 


5 7 88 


58i6 


5843 


58 7 o 


58 9 8 


21 


39 


5920 


5 9 48 


5977 


6oo5 


6o33 


6061 


2O 


39 


5 9 25 


5 9 52 


5 979 


6007 


6o34 


6061 


2O 


4o'9 776090 


61186146 


61756203 


6 2 3i 


'9 


4o 


9.786o8 9 


6116 


6i43 


6170 


6198 


6225 


I 9 


4i 


6259 


6288 63i6 


63446372 


64oi 


18 


41 


6252 


627 9 


63o 7 


6334 


636i 


6388 


18 


42 


6429 


645 7 


6485 


65i46542 


65 7 o 


17 


42 


64i6 


6443 


64 7 o 


64 9 7 


6525 


6552 


'7 


43 
44 


65 9 8 
6 7 68 


6627 
6796 


6655 
6824 


6683 
6852 


6711 
6880 


6739 
6 9 o 9 


16 
i5 


43 
44 


65 7 9 
6742 


6606 6634 
6770 6707 


6661 
6824 


6688 
685i 


6 7 i5 

6878 


16 
i5 


45 


6 9 3 7 


6 9 65 


6 99 3 


7021 


7o5o 


7078 


i4 


45 


6 9 o6 


6 9 33 


6 9 6o 


6 9 8 7 


7014 


7042 


i4 


46 


7106 


7i34 


7162 


7191 


7219 


7247 


i3 


46 


7o6 9 


70 9 6 


7123 


7i5o 


7177 


7 2o5 


!3 


4 7 


7275 


73o3 


733i 


7 35 9 


7388 


74i6 


12 


47 


7232 


7 25 9 


7286 


73i3 


734o 


7 36 7 


12 


48 


7444 


7472 


75oo 


7528 


7556 


7 585 


II 


48 


7 3 9 5 


7422 


744 9 


7476 7 5o3 


7 53o 


II 


4 9 


7613 


764i 


7 66 9 


7697 


77 25 


77 53 


IO 


49 


7 55 7 


7 585 


7612 


7 63 9 7666 


7693 


10 


5o 
5i 


9.777781 
795o 


7810 
7978 


7 838 
8006 


7866 7 8 9 4 
80348062 


79 22 

8o 9 i 


| 


5o 
5i 


o. 787720 
7883 


7747 
79 io 


7774 
79 3 7 


7801 
7964 


7829 
799 l 


7 856 
8018 


1 


52 


8119 


8i4? 


8175 


8203 


823i 


825 9 


7 


52 


8o45 


8072 


8o 99 


8127 


8i54 


8181 


7 


53 


8287 


83i5 


8343 


83 7 i 


83 99 


8427 


6 


53 


8208 


8235 


8262 


8 2 8 9 


83i6 


8343 


6 


54 


8455 


8483 


85n 


853 9 856 7 


85 9 5 


5 


54 


83 7 o 


83 9 7 


8424 


845 1 


8478 


85o5 


5 


55 


8624 


8652 


8680 


870818736 


8 7 64 


4 


55 


8532 


855 9 


8586 


86i3 


864o 


8667 


4 


56 


8792 


8820 


8848 


8876180.04 


8 9 3 2 


3 


56 


86^8721 8748 


8 77 5 


8802 


88 29 


3 


57 


8960 


8988 


9 oi6 


9 o44 


9 7 2 


9 ioo 


2 


57 


8856 8883 8 9 io 


8 9 3 7 8 9 648 99 i 


2 


58 


9128 


9 i56 


9 i83 


9 2II 


9 23 9 


9 26 7 


I 


58 


9 oi8 9 o45 9 072 


9099 9126 91 53 


I 


59 


9 2 9 5 


9 3 2 3 


9 35i 


93799407 


9 435 





5 9 


9 i8o 9 2O7' 9 234! 9 26i 9 288 9 3i5 o 




60" 


50" 


40" 


30" 20" 


10" 


d 




60" 50" 40" i 30" 20" 10" 




Co-sinb of 53 


Degrees. 







Co-sine of 52 Degrees. % 


P Parti l " 2// 3 " 4 " 


5" 6" 7" 8" 9" 


p p A \" 2" 3" 4" 5" 6" 7" 8" 9" 


l.rartj 3 6 9 n 


14 17 20 23 26 


m \ * 5 8 11 14 16 19 22 25 



LOGARITHMIC TANGENTS. 



.s 


Tangent of 36 Degrees. 







Tangent of 37 Degrees. 




m 


0" 


10" 


20" 


30" 


40" 


50" 




s 


0" 


10" 


20" 


30" 


40" 


50" 







9.861261 


i3o5 


i35o 


i3 9 4 


i438 


1482 


5 9 


O 


9-877114 


7 i58 


7 202 


7 246 


7290 


7 333 


5 9 


1 


1527 


1571 


1616 


:65 9 


1704 


1748 


58 


I 


7 3 77 


7 42I 


7 465 


7 5o 9 


7 552 


7 5 9 6 


58 


2 


1792 


1837 


1881 


I 9 25 


i 9 6 9 


2Ol4 


5 7 


2 


7640 


7 684 


7?2 8 


777 i 


7 8i5 


7 85 9 


5 7 


3 


2o58 


2102 


2!46 


2 I 01 


2235 


227 9 


56 


3 


79 3 


7947 


799 


8o34 


8078 


8122 


56 


4 


2323 


2368 


2412 


s456 


25oo 


2545 


55 


4 


8i65 


8209 


8253 


8 297 


834i 


8384 


55 


5 


2689 


2633 


2677 


2721 


2766 


2810 


54 


5 


8428 


8472 


85i6 


855 9 


86o3 


864 7 


54 


6 


2854 


2898 


2 9 43 


2 9 8 7 


3o3i 


3075 


53 


6 


86 9 i 


8 7 34 


8 77 8 


8822 


8866 


8 9 o 9 


53 


7 


3119 


3i64 


3208 


3 2 52 


32 9 6 


334i 


52 


7 


8 9 53 


8 997 


9041 


9 o85 


9128 


9 I 7 2 


52 


8 


3385 


3429 


3473 


35i 7 


3562 


36o6 


5i 


8 


9216 


9260 


9 3o3 


9 34 7 


9 3 9 i 


9 435 


5i 


9 


365o 


36 9 4 


3 7 38 


3 7 83 


3827 


3871 


5o 


9 


9478 


9522 


9 566 


9 6o 9 


9 653 


9 6 97 


5o 


10 


9.863 9 i5 


3 9 5 9 


4oo4 


4o48 


40 9 2 


4i36 


49 


10 


9-879741 


9784 


9828 


9 8 7 2 


99 i6 


99 5 9 


4 9 


ii 


4i8o 


4225 


4269 


43i3 


4357 


44oi 


48 


ii 


9 .88ooo3 


0047 


0091 


oi34 


0178 


O222 


48 


12 


4445 


44 9 o 


4534 


45 7 8 


4622 


4666 


47 


12 


0265 


oSog 


o353 


o3 97 


o44o 


o484 


47 


i3 


4710 


4755 


4799 


4843 


4887 


4 9 3i 


46 


i3 


o528 


o5 7 i 


o6i5 


o65 9 


0703 


o 7 46 


46 


i4 


4 97 5 


5O2O 


5o64 


5io8 


5i5 2 


5i 9 6 


45 


i4 


07 9 o 


o834 


o8 77 


9 2I 


o 9 65 


1008 


45 


i5 


5240 


5285 


5329 


53 7 3 


54i7 


546i 


44 


i5 


IO52 


1096 


n4o 


n83 


1227 


1271 


44 


16 


55o5 


554 9 


55 9 4 


5638 


568 2 


5 7 26 


43 


16 


i3i4 


i358 


1402 


i445 


i48 9 


i533 


43 


|7 


5770 


58i4 


5858 


5' 9 o3 


5 9 4 7 


5 99 i 


42 


1 7 


i5 77 


1620 


1 664 


I 7 o8 


1751 


i 79 5 


42 


18 


6o35 


6o 79 


6i23 


6167 


6211 


6256 


4i 


18 


i83 9 


1882 


1926 


I 97 


20l3 


2067 


4i 


J 9 


63oo 


6344 


6388 


6432 


64 7 6 


6520 


4o 


J 9 


aioi 


2i44 


2188 


2232 


2275 


23i 9 


4o 


20 


9.866564 


66o 9 


6653 


66 9 7 


6741 


6 7 85 


3 9 


20 


9 . 882363 


2406 


245o 


2494 


253 7 


2 58i 


3 9 


21 


6829 


68 7 3 


6917 


6 9 6i 


7006 


7o5o 


38 


21 


2625 


2668 


2 7 I2 


2 7 56 


2 799 


2843 


38 


22 


7094 


7 i38 


7182 


7226 


7270 


73i4 


37 


22 


2887 


2930 


2 97 4 


3oi8 


3o6i 


3io5 


37 


23 


7358 


7402 


7446 


74 9 i 


7 535 


7 5 79 


36 


23 


3i48 


3192 


3 2 36 


32-79 


3323 


336 7 


36 


24 


7623 


7667 


7711 


77 55 


7799 


7843 


35 


24 


34io 


3454 


3498 


354i 


3585 


3628 


35 


25 


7887 


79 3i 


797 5 


8oi 9 


8o64 


8108 


34 


25 


36 7 2 


3 7 i6 


3 7 5 9 


38o3 


3847 


38 9 o 


34 


26 


8i52 


8i 9 6 


8240 


8284 


8328 


83 7 2 


33 


26 


3 9 34 


3 977 


4O2I 


4o65 


4io8 


4i5 2 


33 


27 


84i6 


846o 


85o4 


8548 


85 9 2 


8636 


32 


2 7 


4i 9 6 


423 9 


4283 


4326 


43 7 o 


44i4 


32 


28 


8680 


8724 


8768 


88i3 


885 7 


8 9 oi 


3i 


28 


445 7 


45oi 


4544 


4588 


4632 


46 7 5 


3i 


29 


8 9 45 


8 9 8 9 


9 o33 


977 


9 I2I 


9 i65 


3o 


2 9 


4719 


4-762 


48o6 


485o 


48 9 3 


4 9 3 7 


3o 


3o 


0.860209 


9 253 


9 2 97 


9 34i 


9 385 


9 42 9 


2 9 


3o 


9 .884 9 8o 


5o24 


5o68 


5m 


5i55 


5i 9 8 


2 9 


3i 


94 7 3 


9 5l 7 


9 56i 


9 6o5 


9 64 9 


9 6 9 3 


28 


3i 


5242 


5286 


532 9 


53 7 3 


54i6 


546o 


28 


32 


9?3? 


9781 


9 825 


9 86 9 


99 i3 


99 5 7 


27 


32 


55o4 


554 7 


55 9 i 


5634 


56 7 8 


5721 


27 


33 


9.870001 


oo45 


oo8 9 


oi33 


0177 


O22I 


26 


33 


5 7 65 


58o 9 


5852 


58 9 6 


5 9 3 9 


5 9 83 


26 


34 


O265 


oSog 


o353 


o3 97 


o44i 


o485 


25 


34 


6026 


6o 7 o 


6n4 


6i5 7 


6201 


6244 


25 


35 


0529 


o573 


0617 


0661 


0705 


074 9 


24 


35 


6288 


633i 


63 7 5 


64i 9 


6462 


65o6 


24 


36 


o 79 3 


683 7 


0881 


6 9 25 


o 9 6 9 


ioi3 


23 


36 


654 9 


65 9 3 


6636 


6680 


6723 


6767 


23 


3? 


1057 


IIOI 


n45 


u8 9 


1233 


1277 


22 


37 


6811 


6854 


68 9 8 


6 9 4i 


6 9 85 


7028 


22 


38 


1321 


i365 


i4o 9 


i453 


i4 9 7 


i54i 


21 


38 


7072 


7116 


7 i5 9 


7 2O2 


7246 


72 8 9 


21 


3 9 


i585 


1629 


i6 7 3 


1717 


1761 


i8o5 


2O 


3 9 


7 333 


7377 


7 420 


7 464 


7 5 7 


7 55i 


2O 


4o 


9.871849 


1893 


i 9 3 7 


i 9 8o 


2024 


2068 


1 9 


4o 


9 .8875 9 4 


7 638 


7 68i 


7725 


7768 


7812 


I 9 


4i 


2112 


2i56 


230O 


2244 


2288 


2332 


18 


4i 


7 855 


7 8 99 


79 42 


7986 


8o2 9 


8o 7 3 


18 


42 


2376 


2420 


2 464 


25o8 


2552 


25 9 6 


17 


42 


8116 


8160 


8203 


8247 


82 9 I 


8334 


1 7 


43 


264o 


2684 


2727 


2771 


2815 


285 9 


16 


43 


83 7 8 


8421 


8465 


85o8 


8552 


85 9 5 


16 


44 


29O3 


2947 


2 99 I 


3o35 


3079 


3i23 


i5 


44 


863 9 


8682 


8-726 


8769 


88i3 


8856 


16 


45 


3i6 7 


3211 


3255 


32 99 


3342 


3386 


i4 


45 


8 9 oo 


8 9 43 


8 9 8 7 


9o3o 


9 Q74 


9117 


i4 


46 


343o 


3474 


35i8 


3562 


36o6 


365o 


i3 


46 


9161 


9 204 


9 248 


9291 


9 334 


9378 


i3 


4? 


36 9 4 


3 7 38 


3781 


38 2 5 


386 9 


3 9 i3 


12 


47 


9421 


9 465 


9 5o8 


9552 


9 5 9 5 


9 63 9 


12 


48 


3 9 5 7 


4ooi 


4o45 


4o8 9 


4i33 


4177 


II 


48 


9682 


97 26 


9769 


9813 


9 856 


9900 


II 


49 


4220 


4264 


43o8 


4352 


43 9 6 


444o 


10 


49 


9943 


99 8 7 


..3o 


.. 7 4 


.117 


.160 


10 


5o 


9,874484 


4528 


45 7 2 


46i5 


465 9 


47o3 


9 


5o 


9.890204 


024 7 


02 9 I 


o334 


0378 


O42I 


9 


5i 


4747 


4791 


4835 


487 9 


4 9 23 


4 9 66 


8 


5i 


o465 


o5o8 


o552 


o5 9 5 


o63 9 


0682 


8 


52 


5oio 


5o54 


5o 9 8 


5i42 


5i86 


523o 


7 


52 


O 7 25 


o 7 6 9 


0812 


0856)0899 


o 9 43 


7 


53 


52 7 3 


53i 7 


536i 


54o5 


544 9 


54 9 3 


6 


53 


0986 


io3o 


io 7 3 


1116 


1160 


1203 


6 


54 


553 7 


558o 


5624 


5668 


5712 


5756 


5 


54 


1247 


1290 


i334 


i3 77 


1421 


1 464 


5 


55 


58oo 


5843 


588 7 


5 9 3i 


5 97 5 


6oi 9 


4 


55 


1507 


i55i 


i5 9 4 


i638 


1681 


1725 


4 


56 


6o63 


6107 


6i5o 


6i 9 4 


6 2 38 


6282 


3 


56 


1768 


1811 


i855 


1898 


I 9 42 


i 9 85 


3 


5 7 


6326 


6370 


64i3 


645 7 


65 OI 


6545 


2 


57 


2028 


2O 7 2 


2Il5 


2i5 9 


22O2 


2246 


a 


58 


6589 


6632 


6676 


6720 


6 7 64 


6808 


I 


58 


2289 


2332 


23 7 6 


2419 


2463 


25o6 


i 


5 9 


6852 


68 9 5 


6 9 3 9 


6 9 83 


7027 


7071 


O 


5 9 


2549 


25g3 


2636 


2680 


2723 


2766 


o 




60" 


50" 


40" 


30" 


20" 


10" 


, 




60" 50" 


40" 


30" 20" | 10" 


. 




Co-tangent of 53 Degrees. 


1 




Co-tangent of 52 Degrees. 


S 


p p .< 1" 2" 3" 4" 5" 6" 7" 8" 9" 


, I" 2 " 3" 4" 5" 6" 7" 8" 9" 


lrt { 4 9 13 18 22 26 31 35 40 


J.-fartj 4 9 13 17 22 26 31 35 39 



LOGARITHMIC SINES. 



.a 


Sine of 38 Degrees. 




_g 


Sine of 39 Degrees. 




m 





10" 


20" 30" 40" 50" 




% 


0" 


10" 


20" 


30" | 40" 


50" 







9. 789342 


9 36 9 


9 3 9 6; 9 423 9 45o' 9 4 77 


5 9 


O 


9.798872 


8898 


8 9 24 


8 9 5o8 9 76 


9002 


5 9 


I 


9604 


9 53i 


9 55 7 9 584 9 6i i 


9 638 


58 


I 


9028 


9064 


9 o8o 


9 io6 9 i32 


9168 


58 


2 


9666 


9692 


97x0074607739800 


67 


2 


9184 9210 


9 236 


9 262 9 2&7 


9 3i3 


57 


3 


9827 


9 854 ! 9 88o 9907 9934 9961 


56 


3 


9 33 9 9365 


9 3 9 i 


9 4i7 


9 443 


9469 


56 


4 


9988 


,.x5..4a .,6 9 .. 9 6 


. 122 


55 


4 


949519621 


9 54 7 


9 5 7 3 


9 5 99 


9626 


55 


5 


9-7 9 oi4 9 


0176:0203 O23o 0267 


0284 


54 


5 


9661 


9677 


97 o3 


9 728 


97 54 


9-780 


54 


6 


o3io 


o337o364o3 9 i o4i8 


o445 


53 


6 


9806 


9 83 2 


9 858 


9 884 


9910 


9936 


53 


8 


0471 
o632 


o4 9 8 
o65 9 


0626 
0686 


0662 0679 
071310740 


0606 
0767 


52 

5i 


8 


9962 
9.8001 17 


9987 
oi43 


oi6 9 


..3 9 
oi 9 5 


..65 

O220 


..91 
0246 


52 
5! 


9 


0793 


08200847 


0874 0901 


0927 


5o 


9 


0272 


0298 


o324 


o35o 


o3 7 6 


o4oi 


5o 


10 


9.790954 


0981 


1008 


io34 1061 


1088 


49 


IO 


9.800427 


o453 


o479 


0606 


o53i 


o556 


49 


ii 


xxx5 


1142 


1168 


1 196 


1222 


1249 


48 


ii 


0682 


0608 


o634 


0660 


0686 


7 I I 


48 


12 


1276 


1302 


1329 


i356 


1382 


1409 


47 


12 


o 7 3 7 


o 7 63 


o 7 8 9 


0816 


o84o 


0866 


47 


i3 


i436 


i463 


1489 


1616 i543 


1670 


46 


i3 


0892 


0918 


o 9 44 


o 9 6 9 


0996 


1021 


46 


i4 


i5 9 6 


1623 


i65o 


1676 1703 


1730 


45 


U 


1047 


1073 


io 9 8 


1124 


1 160 


n 7 6 


45 


i5 


1767 


i 7 83 


1810 


i83 7 


i863 


1890 


44 


16 


1201 


1227 


1263 


I2 79 


i3o5 


i33o 


44 


16 


I 9 i7 


i 9 43 


1970 


1997 


2024 


2060 


43 


16 


i356 


1 382 


i4o8 


1433 


i45 9 


i486 


43 


17 


2077 


2104 


2i3o 


2167 


2184 


22IO 


42 


17 


i5n 


1 536 


1662 


1 588 


i6i3 


i63 9 


42 


18 


2237 


2264 


2290 2317 


2344 


2370 


4i 


18 


1666 


1691 


1716 


1742 


i 7 68 


i 79 4 


4i 


19 


2 3 97 


2423 


2460 2477 


25o3 


253o 


4o 


19 


1819 


1846 


1871 


i8 9 6 


1922 


1948 


4o 


20 
21 


9 . 79 255 7 
2716 


2 583 

2 7 43 


2610 2636 
2770 2796 


2663 
2823 


2690 

2849 


3 9 
38 


20 

21 


9 .8oi 9 73 
2128 


1999 
2i53 


2026 

2I 79 


2061 
2206 


2O 7 6 
223O 


2102 
2256 


3 9 

38 


22 


2876 


2 9 o3 


2929 


2966 


2982 


3009 


3 7 


22 


2282 


2307 


2333 


235 9 


2384 


24lO 


37 


23 


3o35 


3o62 


3o8 9 


3n5 


3 1 42 


3i68 


36 


23 


2436 


2461 


2487 


2612 


2538 


2564 


36 


24 


3i 9 5 


3222 


3248 


32 7 5 


33oi 


3328 


35 


24 


2 58 9 


2616 


2641 


2666 


2692 


2 7 l8 


35 


25 


3354 


338i 


3407 


3434 


346o 


348 7 


34 


25 


2743 


2769 


27 9 4 


2820 


2846 


28 7 I 


34 


26 


35i4 


3540 


3667 


35 9 3 


3620 


3646 


33 


26 


2 8 97 


2922 


2 9 48 


2 9 74 


2999 


3o 2 5 


33 


2 7 


36 7 3 


36 99 


3726 


3 7 52 


3 779 


38o5 


32 


27 


3o5o 


3076 


3lO2 


3l2 7 


3i53 


3i 7 8 


32 


28 


3832 


3858 


3885 


3911 


3 9 38 


3 9 64 


3i 


28 


32o4 


3229 


3255 


3281 


33o6 


3332 


3i 


2 9 


3 99 i 


4oi 7 4o44 


4070 


4097 


4123 


3o 


29 


335 7 


3383 


34o8 


3434 


345 9 


3485 


3o 


3o 
3i 


9 . 79 4i5o 
43o8 


4i 7 642o3 
4335436i 


4229 
4388 


4255 
44i4 


4282 
444 1 


2 9 

28 


3o 
3i 


9 .8o35n 
3664 


3536 
3689 


3562 
3 7 i5 


3687 
3?4o 


36i3 
3 7 66 


3638 
3 79 i 


2 9 
28 


32 


446 7 


44 9 3 4620 


4546 


45 7 3 


45 99 


27 


32 


38i 7 


3842 


3868 


38 9 3 


3 9 i 9 


3 9 44 


2 7 


33 


4626 


4652 46 7 8 


4706 


473i 


47*8 


26 


33 


3 97 o 


3 99 5 


4021 


4o46 


4o 7 2 


409-7 


26 


34 


4784 


48io483 7 


4863 


4890 


4 9 i6 


25 


34 


4123 


4i48 


4i?4 


4199 


4226 


4260 


26 


35 


4 9 42 


4 9 6 9 4996 


5022 


5o48 


5o 7 4 


24 


35 


4276 


43oi 


432 7 


4352 


43 77 


44o3 


24 


36 


5ioi 


5i2 7 5i54 


5i8o 


6206 


5 2 33 


23 


36 


4428 


4454 


4479 


45o5 


453o 


4556 


23 


37 


5 2 5 9 


6286 


53i2 


5338 


5364 


53 9 i 


22 


3-7 


458i 


4607 


4632 


465 7 


4683 


4 7 o8 


22 


38 


54i7 


5443 54 7 o 


5496 


5522 


554 9 


21 


38 


4734 


4769 


4784 


48io 


4835 


486i 


21 


3 9 


55 7 5 


56oi 


6628 


5654 


568o 


6707 


2O 


3 9 


4886 


4 9 I2 


4 9 3 7 


4962 


4988 


5oi3 


2O 


4o 


9.796733 


5 7 5 9 5 7 86 


6812 


5838 


5865 


I 9 


4o 


9.806039 


5o64 


5o8 9 


5n5 


5i4o 


5i65 


J 9 


4i 


6891 


5 9 i 7 


5 9 43 


6970 


5 99 6 


6022 


18 


4i 


6191 


6216 


6242 


6267 


6292 


53i8 


18 


42 


6049 


6o 7 5 


6101 


6127 


6i54 


6180 


'7 


42 


5343 


5368 


53 9 4 


5419 


5444 


54 7 o 


17 


43 


6206 


6233 


6269 


6286 


63n 


6338 


16 


43 


54 9 5 


6620 


5546 


55 7 i 


55 97 


6622 


16 


44 


6364 


63 9 o64i66443 


6469 


64 9 5 


i5 


44 


6647 


56 7 3 


56 9 8 


5 7 23 


5 7 48 


5 77 4 


16 


45 


6621 


654 7 65 7 4 6600 


6626 


6662 


i4 


45 


6799 


6824 


585o 


58 7 5 


6900 


6926 


i4 


46 


6679 


6 7 o5 


6 7 3i 


6767 


6783 


6810 


i3 


46 


5 9 5i 


5 97 6 


6002 


602-7 


6062 


6o 77 


i3 


47 


6836 


6862 


6888 


6 9 i4 


6941 


6 9 67 


12 


47 


6io3 


6128 


6i53 


6179 


6204 


6229 


12 


48 


6 99 3 


7 oi 9 


7045 


7072 


7098 


7124 


II 


48 


6264 


6280 


63o5 


633o 


6355 


638i 


II 


49 


7 i5o 


7 I 7 6 7 202 


7229 


7255 


7281 


IO 


49 


64o6 


643 1 


6456 


6482 


65o 7 


6532 


10 


5o 


9.797307 


7 333 


7 3 5 9 


7 386 


7412 


7438 


9 


5o 


9 . 806667 


6583 


6608 


6633 


6658 


6684 


9 


5i 


7464 


7 4 9 o 7 5i6 


7642 


7669 7 5 9 5 


8 


5i 


6 79 


6 7 34 


6 7 5 9 


6 7 85 


6810 


6835 


8 


52 


7621 


7 64 7 


76737699 


7725 7761 


7 


62 


6860 


6885 


6 9 n 


6 9 36 


6961 


6986 


7 


53 


7777 


7 8o4 


783oJ7856 7882 7908 


6 


53 


7011 


7 o3 7 


7062 


7 o8 7 


7 II2 


7 i3 7 


6 


54 


79 34 


79 6o 79 86 8012 8o38 8o65 


5 


54 


7i63 


-7188 


7213 


7 238 


7 263 


7288 


5 


55 
56 

5 7 


8091 

8247 
84o3 


8n 7 8i43 8i6 9 8i 9 5'822i 
82 7 382 99 !8325835i 83 77 
842 9 8455 848il85o8 8534 


4 
3 

2 


55 
56 
57 


7 3i4 
7465 
7616 


7339 
7490 
7 64i 


?364 
7616 
7666 


7 38 9 
7 54o 
7 6 9 i 


74i4 
7 565 
77 i6 


743 9 
-7690 
774i 


4 
3 

2 


58 


856o 


858686128638 


86648690 


I 


58 


7766 779 i 78167842 


7 86 7 7 8 9 2 


I 


5 9 


8716 


8-742 


87688794 


8820 8846 


O 


5 9 


7917 7942 79 6 7 7992 8017 8042 o 




60" 


50" I 


40" | 30" 20" 10" 


S" 




60" 50" j 40" 30" 20" i 10" e - 




Co-sine of 51 Degrees. 


S, 




Co'Sine of 50 Degrees. 


S 


f i// nil o/ 

P Part) 


4" 5" 6" 7" 8" 9" 


.$ 1" 2" 3" 4" 5" 6" 7" 8" 9" 


l \ 3 5 8 


11 13 16 19 21 24 


iri j 3 5 8 10 13 15 18 20 23 



LOGARITHMIC TANGENTS. 



J 


Tangent of 38 Degrees. 




.s 


Tangent of 39 Degrees. 




s 


0" 


10" 


20" ] 30" 


40" 


50" 




si 


0" 


10" 


20" 


30" 


40" 


50" 







9.892810 


2853 


28 9 7 


2 9 40 


2983 


3O27 


r 


o 


9 . 9 o836 9 


8412 


8455 


84 9 8 


854i 


8584 


5 9 


I 


3070 


3u4 


3i5 7 


32OO 


3244 


3a8 7 


58 


I 


8628 


8671 


8714 


8 7 5 7 


8800 


8843 


58 


2 


333i 


33 7 4 


34i7 


346i 


35o4 


3547 


57 


2 


8886 


8929 


8972 


9 oi5 


9 o58 


9101 


$7 


3 


35 9 i 


3634 


3678 


3721 


3 7 64 


38o8 


56 


3 


9i44 


9187 


9230 


9 2 7 3 


9 3i6 


9 35 9 


56 


4 


385i 


38 9 4 


3 9 38 


3 9 8i 


4o25 


4o68 


55 


4 


9402 


9445 


9 488 


9 53i 


9 5 7 4 


9 6l 7 


55 


5 


4i 1 1 


4i55 


4198 


4241 


4285 


43 2 8 


54 


5 


9660 


973 


9 746 


9789 


9 832 


9 8 7 5 


54 


6 


43 7 2 


44i5 


4458 


45o2 


4545 


4588 


53 


6 


9918 


9961 


...5 


..48 


.. 9 i 


.i34 


53 


7 


4632 


46 7 5 


4 7 i8 


4762 


48o5 


4848 


52 


7 


9.910177 


O220 


0263 


o3o6 


o34 9 


o3 9 2 


52 


8 


4892 


4 9 35 


4979 


5022 


5o65 


5 1 09 


5i 


8 


o435 


0478 


O52I 


o564 


0607 


o65o 


5i 


9 


5i5 2 


5i 9 5 


523 9 


5282 


53 2 5 


536 9 


5o 


9 


0693 


o 7 36 


779 


0822 


o865 


o 9 o8 


5o 


10 


9.895412 


5455 


54 99 i5542 


5585 


5629 


4 9 


10 


9.910951 


0994 


1037 


1080 


1123 


1 166 


4y 


ii 


5672 


5 7 i5 


5 7 5 9 


58o2 


5845 


588 9 


48 


ii 


1209 


1252 


I2 9 5 


i338 


i38i 


i424 


48 


12 


5 9 32 


5 97 5 


6oi 9 


6062 


6io5 


6149 


47 


12 


1467 


i5io 


i553 


i5 9 6 


i63 9 


1682 


47 


i3 


6192 


6235 


6278 


6322 


6365 


64o8 


46 


i3 


1725 


1768 


1810 


i853 


i8 9 6 


i 9 3 9 


46 


i4 


6452 


6495 


6538 


6582 


66 2 5 


6668 


45 


i4 


1982 


2025 


2068 


21 II 


2i54 


2I 97 


45 


15 


6712 


6 7 55 


6 79 8 


6842 


6885 


6928 


44 


i5 


2240 


2283 


2326 


236 9 |24l2 


2455 


44 


16] 6971 


7Oi5 


7 o58 


7101 


7i45 


7188 


43 


16 


2498 


254i 


2584 


262 7 ]26 7 


2713 


43 


17 


7231 


7 2 7 5 


7 3i8 


736i 


74o4 


7448 


42 


I? 


2756 


2799 


2842 


26862928 


2 97 I 


42 


18 


7491 


?534 


7 5 7 8 


7621 


7 664 


7707 


4i 


18 


3oi4 


3o57 


3ioo 


3i43 


3i85 


3228 


4i 


*9 


77 5i 


7794 


7 83 7 


7881 


7924 


7967 


4o 


J 9 


3271 


33i4 


335 7 


34oo 


3443 


3486 


4o 


20 


9.898010 


8o54 


8o 97 


8i4o 


8i83 


8227 


3 9 


20 


9.913529 


3572 


36i5 


3658 


3701 


3744 


3 9 


21 


8270 


83i3 


835 7 


84oo 


8443 


8486 


38 


21 


3 7 8 7 


383o 


38 7 3 


3 9 i6 


3 9 5 9 


4ooi 


38 


22 


853o 


8573 


8616 


865 9 


8 7 o3 


8 7 46 


37 


22 


4o44 


4o8 7 


4i3o 


4i 7 3 


4216 


425 9 


37 


23 


8789 


8832 


88 7 6 


8919 


8962 


gooS 


36 


23 


4302 


4345 


4388 


443 1 


4474 


45i 7 


36 


24 


9049 


9092 


9 i35 


9178 


9222 


9 265 


35 


24 


456o 


46o3 


4645 


4688 


473i 


4774 


35 


25 


9308 


935i 


9 3 9 5 


9 438 


9 48i 


9 5 2 4 


34 


25 


48i 7 


486o 


4 9 o3 


4 9 46 


4989 


5o32 


34 


26 


9 568 


9611 


9 654 


9697 


97 4i 


97 84 


33 


26 


5o 7 5 


5ii8 


5i6i 


5 2 o3 


5246 


5289 


33 


27 


0827 


0870 


QQl4 


QC)57 




43 


32 


27 


5332 


5375 


54i8 


546 1 


55o4 


5547 


32 


* / 
28 


v / 
9.900087 


v / 
oi3o 


yy.n4 
0173 


77 / 
02l6 


025 9 


o3o3 


3i 


* 1 
28 


55 9 o 


5633 


56 7 5 


5 7 i8 


5761 


vs^x 44. i 

58o4 


3i 


20 


o346 


o38 9 


0432 


0476 


o5i 9 


o562 


3o 


2 9 


5847 


5890 


5 9 33 


5 97 6 


6019 


6062 


3o 


3o 


9.900605 


o648 


o6 9 2 


o 7 35 


0778 


0821 


2 9 


3o 


9.916104 


6i47 


6i 9 o 


6233 


6276 


63 I9 


29 


3i 


0864 


o 9 o8 


o 9 5i 


0994 


1037 


1081 


28 


3i 


6362 


64o5 


6448 


64 9 i 


6533 


65 7 6 


28 


32 


1124 


1167 


I2IO 


1253 


I2 9 7 


i34o 


27 


32 


6619 


6662 


6705 


6 7 48 


6791 


6834 


2 7 


33 


i383 


1426 


i46 9 


i5i3 


i556 


i5 99 


26 


33 


6877 


6919 


6 9 62 


7005 


7 o48 


7091 


26 


34 


1642 


i685 


T 7 2 9 


1772 


i8i5 


i858 


25 


34 


7i34 


7177 


7220 


7262 


7 3o5 


7348 


25 


35 


1901 


i 9 44 


i 9 88 


2031 


2074 


2117 


24 


35 


7 3 9 i 


7434 


7477 


7520 


7563 


7 6o5 


24 


36 


2160 


2204 


2247 


2290 


2333 


23 7 6 


23 


36 


7 648 


7691 


7734 


7777 


7820 


7 863 


23 


3? 


2420 


2463 


2 5o6 


2549 


25 9 2 


2635 


22 


37 


7906 


7948 


799 l 


8o34 


8077 


8120 


22 


38 


2679 


2722 


2765 


2808 


285i 


28 9 4 


21 


38 


8i63 


8206 


8248 


820.1 


8334 


83 77 


21 


3 9 


2 9 38 


2 9 8i 


3o24 


3o6 7 


3no 


3i53 


2O 


3 9 


8420 


8463 


85o6 


8548 


8591 


8634 


2O 


4o 


9.903197 


324o 


3283 


33 2 6 


336 9 


34i2 


I 9 


4o 


9.918677 


8720 


8 7 63 


88o5 


8848 


88 9 i 


T 9 


4i 


3456 


34 99 


3542 


3585 


3628 


36 7 i 


18 


4i 


8 9 34 


8977 


9020 


9 o63 


9io5 


9 i48 


18 


42 


37i4 


3 7 58 


38oi 


3844 


388 7 


3 9 3o 


I 7 


42 


9191 


9 234 


9277 


9 320 


9362 


9 4o5 


1 1 


43 


3 97 3 


4oi6 


4o6o 


4io3 


4i46 


4i8 9 


16 


43 


9448 


9491 


9 534 


9 5 77 


9619 


9662 


16 


44 


4232 


42 7 5 


43i8 


4362 


44o5 


4448 


i5 


44 


9705 


9748 


9791 


9 8S4 


9876 


99 i 9 


i5 


45 


449i 


4534 


45 77 


4620 


4663 


4707 


i4 


45 


9962 


...5 


. 48 


.. 9 i 


.i33 


. 176 


i4 


46 


475o 


4793 


4836 


48 79 


4 9 22 


4 9 65 


i3 


46 


9.920219 


0262 


o3o5 


o348 


oSgo 


o433 


i3 


4? 


5oo8 


5o5 2 


5o 9 5 


5i38 


5i8i 


5224 


12 


47 


0476 


oSig 


0062 


o6o4 


0647 


0690 


12 


48 


5267 


53io 


5353 


53 97 


544o 


5483 


II 


48 


o 7 33 


0776 


0819 


0861 


0904 


0947 


II 


49 


55 2 6 


556 9 


56i2 


5655 


6698 


574i 


10 


49 


0990 


io33 


1075 


1118 


1 161 


1204 


IO 


5o 


9.905785 


58 2 8 


5871 


5 9 i4 


5 9 5 7 


6000 


9 


5o 


9.921247 


1289 


i33 2 


i3 7 5 


i4i8 


i46i 


9 


5i 


6o43 


6086 


6129 


6172 


6216 


625 9 


8 


5i 


i5o3 


1 546 


i58 9 


i632 


i6 7 5 


1717 


8 


52 


63o2 


6345 


6388 


643i 


6474 


65i 7 


7 


52 


1760 


i8o3 


i846 


i88 9 


1931 


i 9 74 


7 


53 


656o 


66o3 


6646 


6690 


6 7 33 


6776 


6 


53 


2017 


2060 


2103 


2i45 


2188 


223l 


6 


54 


6819 


6862 


6905 


6 9 48 


6991 


7034 


5 


54 


2274 


2 3i6 


2 35 9 


2402 


2445 


2488 


5 


55 


7077 


7120 


7i63 


7207 


7 25o 


7 2 9 3 


4 


55 


2 53o 


2 5 7 3 


2616 


2 65 9 


2702 


2 7 44 


4 


56 


7336 


7 3 79 


7422 


7465 


75o8 


7 55i 


3 


56 


2787 


283o 


2873 


2 9 l5 


2958 


3ooi 


3 


5? 


7 5 9 4 


7 63 7 


7680 


7723 


7766 


7 8o 9 


2 


57 


3o44 


3087 


3i2 9 


3172 


32i5 


3 2 58 


2 


58 


7853 


7896 


79 3 9 


7982 


8025 


8068 


I 


58 


33oo 


3343 


3386 


342 9 


347i 


35i4 


I 


5 9 


Bin 


8i54 


8i 97 


8240 


8283 


8326 





5 9 


355 7 


36oo 


3642 


3685 


3728 


3 77 i 


O 




60" 


50" 


40" 


30" 


20" 


10" 


CJ 




60" 50" 


40" 


30" 


20" 


10" 


j 




Co-tangent of 5 1 Degrees. 


s 




Co-tangent of 50 Degrees. 


s 


p p a %t 5 *" 2 " 3 " 4 " 5 " 6// 7 " 8// 9 " 


. < I" 2" 3" 4" 5" 6" 7" 8" 9" 


1 lrl { 4 9 13 17 22 26 30 35 39 


irt \ 4 9 13 17 21 26 30 34 39 



64 



LOGARITHMIC SINES. 



g- 


Sine of 40 Degrees. 




J 


Sine of 41 Degrees. 




5 


0" 


10" 20" 


! 30" 40" 


50" 




S 


0" 


10" 


20" 


30" | 40" 


50" 







9 . 808067 


8o 9 3 8u88i43 8168 


8i 9 3 


5 9 


O 


9 .8i6 9 43 


6 9 6 7 


6991 


7 0l6 


7 o4o 


7 o64 


5 9 


I 


8218 


824382688293:83188343 


58 


I 


7088 


7 I 12 


7 i3 7 


-7161 


7 i85 


-7209 


58 


2 


8368 


8393 8419 8444 8469 8494 


57 


2 


7 233 


7 258 


7 282 


7 3o6 


7 33o 


7 354 


57 


3 


85i 9 


8544 8569859^ 8619 8644 


56 


Q 


7379 


74o3 


7 42 7 


7 45i 


7 4 7 5 


7499 


56 


4 


866 9 


8694 8-719 8744.8769 


8 79 4 


55 


l\ 


7 524 


7 548 


7 5 ? 2 


7 5 9 6 


-7620 


7644 


55 


5 


8819 


8844886988948919 


8944 


54 


5 


-7668 


7 6 9 3 


7717 


77 4i 


7765 


7789 54 


6 


8969 


8994 9019 9044 9069 9 o 9 4 


53 


6 


7 8i3 


7 83 7 


7862 


7 886 


79 10 


7934)53 


7 


9119 


9144 9169 9194 9219 9244 


52- 


7 


7958 


-7982 


8006 


8o3o 


8o55 


8o 79 


52 


8 


9269 


9294 9319 9344 9369 9394 


5i 


8 


8io3 


812-7 


8i5i 


8i 7 5 


8199 


8223 


5i 


9 


9419 


9444 9469 9494 9 5i 9 9 544 


5o 


9 


8 2 4 7 


82 7 2 


8296 


8320 


8344 


8368 


5o 


10 


9.809569 


9594 9619 9643:9668 9 6 9 3 


4 9 


10 


9.818392 


84i6 


844o 


8464 


8488 


85i2 


4 9 


ii 


9718 


97 43 97 68 


9 79 3 9 8i8 


9 843 


48 


ii 


8536 


856o 


8584 


86o 9 


8633 


865 7 


48 


12 

i3 


9868 
9.810017 


9893 9918 99 43'9 9 6 7 
0042 oo6 7 0092;! 1 7 


9992 

Ol42 


47 
46 


12 

i3 


8681 
8825 


8 7 o5 
8849 


8729 
88 7 3 


8 7 53 
8897 


8777 
8921 


8801 
8 9 45 


47 
46 


i4 


0167 


0191 O2l6 t O24l 


0266 


0291 


45 


i4 


8969 


8 99 3 


9017 


9041 


9065 


9089 


45 


i5 


o3i6 


634xo366 


o3 9 o o4i5 


o44o 


44 


i5 


9113 


9i3 7 


9161 


9i85 


9209 


9233 


44 


16 


o465 


0490 o5i5 


o54o o564 


o58 9 


43 


16 


9 25 7 


9281 


9 3o5 


9 32 9 


9353 


9377 


43 


17 


0614 


06390664 


0689 


o 7 i3 


o 7 38 


42 


17 


9 4oi 


9425 


9 449 


9 4 7 3 


9497 


9521 


42 


18 


o 7 63 


078808*3 


o838 


0862 


o88 7 


4i 


18 


9 545 


9 56 9 


9 5 9 3 


9 6i 7 


9641 


9665 


4i 


*9 


0912 


093-7 0962 


0986 


ion 


io36 


4o 


'9 


9689 


97 i3 


9737 


97 6i 


9785 


9809 


4o 


20 


9 811061 


1086 mo 


n35 


1 1 60 


u85 


39 


20 


9.819832 


9856 


9880 


99 o4 


9928 


99 5 2 


39 


21 


1210 


1234 1259 


1284 


1 309 


1 334 


38 


21 


99 7 6 


. . . . 


..24 


..48 


.. 7 2 


.. 9 6 


38 


22 


i358 


i383 i4o8 


i433 


i45 7 


1482 


37 


22 


9.820120 


oi43 


oi6 7 


oi 9 i 


02l5 


0239 


37 


23 


1507 


i532i556 


i58i 


1606 


i63i 


36 


23 


0263 


028-7 


o3n 


o335 


0359 


o382 


36 


24 


i655 


1680 I 7 o5 


i 7 3o 


i 7 54 


i 779 


35 


24 


o4o6 


o43o 


o454 


o4 7 8 


o5o2 


o5 2 6 


35 


25 
26 


1804 
1952 


1828 i853'i8 7 8 
19-7-7 200112026 


1903 
2o5i 


1927 
20-76 


34 
33 


25 

26 


o55o 
0693 


o5 7 3 

7 I 7 


o5 97 
o 7 4o 


0621 
o 7 64 


0645 

o 7 88 


0669 
0812 


34 
33 


2 7 
28 


2IOO 

2248 


2125 2l5o!2I 7 4 
2273 2298;2322 


2199 2224 

234 7 J23 7 2 


32 

3i 


27 


o836 
979 


0860 
ioo3 


o883 
1026 


090-7 
io5o 


0931 
io 7 4 


o 9 55 
io 9 8 


32 

3i 


9 


23 9 6 


2421 2446 2470 


2495 J252O 


3o 


29 


1122 


n46 


1 169 


n 9 3 


I2I 7 


1241 


3o 


3o 


Q. 812544 


2569 2594 2618 


26432668 


29 


3o 


9.821265 


1288 


l3l2 


i336 


i36o 


1 384 


29 


3i 


2692 


2 7 I 7 2 7 42 


2 7 66 


2791 28i5 


28 


3i 


i4o 7 


i43i 


i455 


1479 


i5o2 


i526 


28 


32 


2840 


2865 2889 2914 


2939 2963 


27 


32 


i55o 


i5 7 4 


i5 9 8 


1621 


i645 


1669 


2 7 


33 


2988 


3oi2 3o3 7 


3o62 


3o86 


3m 


26 


33 


1693 


1-716 


i 7 4o 


i 7 64 


i -788 


1811 


26 


34 


3i35 


3!6o3i85 


3209 


3234 


3258 


25 


34 


i835 


1869 


i883 


1906 


1930 


1954 


25 


35 


3283 


33o 7 3332335 7 


338i 


34o6 


24 


35 


I9 77 


2001 


2025 


204 9 


20-72 


20 9 6 


24 


36 


343o 


3455 34 7 9 35o4 


352 9 ! 3553 


23 


36 


ei2o 


2i44 


216-7 


2191 


22l5 


2238 


23 


37 


3578 


36o2 362 7 


365i 


36 7 6 


3 7 oo 


22 


37 


2262 


2286 


2309 


2333 


235 7 


2 38 1 


22 


38 


3725 


3 7 49 3 77 4 


3 799 


3823 


3848 


21 


38 


2404 


2428 


2452 


2 4 7 5 


2499 


2523 


21 


3 9 


38 7 2 


389-73921 


3946 


3970 3995 


2O 


39 


2546 


25 7 O 


2 5 9 4 


261-7 


2641 


2665 


2O 


4o 


9.814019 


4o44 4o68 


40934117 


4142 


'9 


4o 


9.822688 


2 7 I2 


2 7 36 


2 7 5 9 


2 7 83 


280-7 


19 


4i 


4i66 


4191 42i5 


424042644289 


18 


4i 


283o 


&854 


28 7 8 


2901 


2925 


2 9 48 


18 


42 


43x3 


43384362|438 7 |44n 


4436 


i 7 


42 


2 97 2 


2996 


3oi 9 


3o43 


3o6 7 


3o 9 o 


17 


43 


446o 


4484 45o 9 


4533 


45584582 


16 


43 


3n4 


3i3 7 


3i6i 


3i85 


32o8 


3232 


16 


44 


46o 7 


463i 4656 


468o 


47044729 


i5 


44 


3255 


32 79 


33o3 


3326 


335o 


33 7 3 


i5 


45 


4753 


4 77 848o2 


482-7 


485 1 


48 7 6 


i4 


45 


33 9 7 


342i 


3444 


3468 


3491 


35i5 


i4 


46 


4900 


4924 4949 


4973 


499 8 


5022 


i3 


46 


353 9 


3562 


3586 


3609 


3633 


3656 


i3 


47 


5o46 


5o 7 i 6095 


5l20 


5i44 


5i68 


12 


47 


368o 


3 7 o4 


3 7 2 7 


3 7 5i 


3 77 4 


3 79 8 


12 


48 
49 


5i 9 3 
533 9 


52I 7 5242 5266 

53645388|54i2 


5290 
543 7 


53i5 
546i 


II 
IO 


48 
49 


382i 
3 9 63 


3845 
3986 


3868 
4oio 


38 9 2 
4o33 


3 9 i5 
4o5 7 


3 9 3 9 
4o8o 


II 
IO 


5o 


9 .8i5485 


55io5534i5558 


5583 


5607 


9 


5o 


9.824104 


412-7 


4i5i 


4i 7 4 


4198 


4221 


9 


5i 


5632 


5656 568o 5 7 o5 


5729 5753 


8 


5i 


4245 


4268 


42 9 2 


43i5 


433 9 


4362 


8 


52 


5 77 8 


58o2 5826 


585i 


58 7 5 


58 9Q 


7 


52 


4386 


4409 


4433 


4456 


448o 


45o3 


7 


53 

54 


5924 
6069 


5g48 59-72 599616021 6o45 
609461186142 616-76191 


6 
5 


53 

54 


452 7 
4668 


455o 
46 9 i 


45 7 4 


45 9 7 
4 7 38 


4621 
4 7 6i 


4644 
4 7 85 


6 
5 


55 


62i5 


6240 6264 6288:6312 633 7 


4 


55 


48o8 


4832 


4855 


48 79 


4 9 02 


4926 


4 


56 


636i 


6385 64o 9 '6434 6458 6482 


3 


56 


4949 


49 7 2 


4 99 6 




5o43 


5o66 


3 


57 
58 
5 9 


65o 7 
665 2 
6 79 8 


653i.6555j6579 66o4 6628 
66 7 6 6 7 oi 6 7 25i6 7 4 9 6 77 3 
6822 6846 687016894 6919 


2 

I 
O 


57 
58 
5 9 


5090 
523o 
53 7 i 


5n3 
5254 
53 9 4 


5i36 

52 77 

54i 7 


5i6o 
53oo 

544i 


5i83 
5324 
5464 


52O 7 

534 7 

5488 


2 
I 
O 




60" 


50" ; 40" 


30" | 20" , 


10" 


c 




60" 


50" j 40" 


30" 


20" 


10" 


fl 




Co-sine of 49 


Degrees. 




1 




Co-sine of 48 Degrees. 




P. Part J 2 5 7 10 


5" 6" 7" 
12 15 17 


8" 9" 
20 22 


p p . $ 1" 2" 3" 4" 5" 6" 7" A" 9" 
r*\ 25 7 10 12 14 17 19 21 



LOGARITHMIC TANGENTS. 



.5 


Tangent of 40 Degrees. 




.S 


Tangent of 41 Degrees. 




i 


0" 


10" 


20" 


30" 


40" 50" 




i 


0" 


10" 


20" 


30" 


40" 


50" 




o 


9.923814 


3856 


38 99 


3942 


3 9 85 


402 7 


59 


o 


9.939163 


9206 


9 248 


9291 


9 333 


9 3 7 6 


5 9 


i 


4070 


4n3 


4i56 


4198 


424i 


4284 


58 


I 


94i8 


946 1 


95o3 


9 546 


9 588 


9 63i 


58 


2 


432 7 


436 9 


44i2 


4455 


4498 


4540 


5 7 


2 


9 6 7 3 


9716 


97 58 


9801 


9 843 


9886 


57 


3 


4583 


4626 


466 9 


4711 


4 7 54 


4797 


56 


3 


9928 


9971 


..i3 


..56 


..98 


.141 


56 


4 


484o 


4882 


4925 


4968 


Son 


5o53 


55 


4 


9.940183 


0226 


0268 


o3n 


o354 


o3 9 6 


55 


5 


5o 9 6 


5 1 39 


5i8i 


5224 


526-7 


53io 


54 


5 


0439 


o48i 


o524 


o566 


0609 


o65i 


54 


6 


5352 


53 9 5 


5438 


5481 


5523 


5566 


53 


6 


0694 


o 7 36 


0779 


0821 


o864 


0906 


53 


7 


5609 


5652 


56g4 


5 7 3 7 


5 7 8o 


5822 


52 


7 


0949 


0991 


io34 


io 7 6 


1119 


1161 


52 


8 


5865 


5908 


5 9 5i 


5 99 3 


6o36 


6o 79 


5i 


8 


1204 


1246 


1289 


i33i 


i3 7 4 


i4i6 


5i 


9 


6122 


6i64 


620 7 


6260 


6292 


6335 


5o 


9 


i45 9 


i5oi 


1 544 


i586 


1628 


16-71 


5o 


10 


9.926378 


6421 


6463 


65o6 


654 9 


65 9 i 


49 


IO 


9.941713 


1-756 


1798 


i84i 


i883 


1926 


49 


ii 


6634 


6677 


6 7 2O 


6-762 


68o5 


6848 


48 


ii 


1968 


2011 


2o53 


2096 


2i38 


2181 


48 


12 


6890 


6933 


6 97 e 


7 oi 9 


-7061 


7 io4 


47 


12 


2223 


2266 


23o8 


235i 


2393 


2436 


47 


i3 


7147 


7189 


7232 


7 2 7 5 


7 3i 7 


7 36o 


46 


i3 


2478 


2521 


2563 


2606 


2648 


2691 


46 


i4 


7 4o3 


7446 


7 488 


7 53i 


7 5 7 4 


7 6i6 


45 


i4 


2 7 33 


2776 


2818 


286! 


2903 


2 9 45 


45 


i5 


7669 


7702 


77 44 


7787 


7 83o 


7 8 7 2 


44 


i5 


2988 


3o3o 


3o 7 3 


3n5 


3i58 


3200 


44 


16 


7915 


79 58 


8001 


8o43 


8086 


8129 


43 


16 


3243 


3285 


3328 


33 7 o 


34i3 


3455 


43 


I 7 


8171 


8214 


825 7 


82 99 


8342 


8385 


42 


I 7 


3498 


354o 


3583 


36 2 5 


366 7 


3-710 


42 


18 


8427 


8470 


85i3 


8555 


85 9 8 


864i 


4i 


18 


3 7 52 


3 79 5 


383 7 


388o 


3922 


3 9 65 


4i 


J 9 


8684 


8726 


8769 


8812 


8854 


8897 


4o 


*9 


4oo 7 


4o5o 


4092 


4i35 


4i77 


4219 


4o 


20 


9.928940 


8982 


9025 


9 o68 


9 no 


9i53 


39 


20 


9.944262 


43o4 


434 7 


438 9 


4432 


44 7 4 


3 9 


21 


9196 


9 238 


9281 


9 3 2 4 


9 366 


9409 


38 


21 


45i 7 


455 9 


4602 


4644 


4686 


4-729 


38 


22 


9 45 2 


94g4 


9 53 7 


9 58o 


9622 


9 665 


37 


22 


477i 


48i4 


4856 


48 99 


494i 


4984 


37 


23 


9708 


97 5o 


979 3 


9 836 


9 8 7 8 


9921 


36 


23 


5o26 


5o6 9 


5m 


5i53 


5196 


5238 


36 


24 


9964 


...6 


..49 


.. 9 2 


.134 


.177 


35 


24 


5281 


53 2 3 


5366 


54o8 


545i 


54 9 3 


35 


25 


9.930220 


0262 


o3o5 


o348 


0390 


o433 


34 


25 


5535 


5578 


562O 


5663 


5 7 o5 


5 7 48 


34 


26 


o4 7 5 


o5i8 


o56i 


o6o3 


0646 


0689 


33 


26 


5 7 90 


5832 


58 7 5 


5 9 i 7 


5960 


6002 


33 


2? 


o 7 3i 


0774 


o8i 7 


o85 9 


0902 


o 9 45 


32 


2 7 


6o45 


6087 


6i3o 


61-72 


6214 


6 2 5 7 


32 


28 


0987 


io3o 


io 7 3 


in5 


n58 


1 200 


3i 


28 


62 99 


6342 


6384 


642 7 


6469 


65n 


3i 


29 


1243 


1286 


i328 


i3 7 i 


i4i4 


i456 


3o 


2 9 


6554 


65 9 6 


663 9 


6681 


6-724 


6 7 66 


3o 


3o 


9.931499 


1 542 


i584 


162-7 


1669 


1712 


29 


3o 


9 . 9 468o8 


685i 


68 9 3 


6 9 36 


6 97 8 


-7021 


29 


3i 


i 7 55 


1797 


i84o 


i883 


1925 


1968 


28 


3i 


7 o63 


7io5 


7 i48 


7 i 9 o 


7 233 


7 2 7 5 


28 


32 


2010 


2o53 


2096 


2i38 


2181 


2224 


2 7 


32 


7 3i8 


736o 


7 402 


7445 


7 48 7 


7 53o 


27 


33 


2266 


2309 


2 35i 


2 3 9 4 


243 7 


2479 


26 


33 


7 5 7 2 


7614 


7 65 7 


7 6 99 


7742 


7784 


26 


34 


2522 


2565 


2607 


265o 


2692 


2 7 35 


25 


34 


7827 


7869 


7911 


79 54 


799 6 


8o3 9 


25 


35 


2778 


2820 


2863 


2 9 o6 


2948 


2991 


24 


35 


8081 


8i23 


8166 


8208 


8 2 5i 


8293 


24 


36 


3o33 


3o 7 6 


3n 9 


3i6i 


3204 


3 2 46 


23 


36 


8335 


8378 


8420 


8463 


85o5 


8548 


23 


37 


3289 


3332 


33 7 4 


34i 7 


345 9 


35o2 


22 


37 


8590 


8632 


86 7 5 


8 7 i 7 


8 7 6o 


8802 


22 


38 


3545 


358 7 


363o 


36 7 2 


3 7 i5 


3 7 58 


21 


38 


8844 


8887 


8 9 2 9 


8 97 2 


9 oi4 


9 o56 


21 


3 9 


38oo 


3843 


3885 


3 9 28 


3 97 i 


4ot3 


20 


3 9 


9099 


9i4i 


9 i84 


9 226 


9 268 


g3ii 


2O 


4o 


9.934o56 


4o 9 8 


4i4i 


4i84 


4226 


4269 


X 9 


4o 


9 . 9 4 9 353 


9 3 9 6 


9 438 


9 48o 


9 5 2 3 


9 565 


'9 


4i 


43n 


4354 


43 97 


443 9 


4482 


4524 


18 


4i 


9608 


9 65o 


9 6 9 2 


97 35 


9777 


9819 


18 


42 


456 7 


46io 


4652 


46 9 5 


4 7 3 7 


4 7 8o 


J 7 


42 


9862 


99 o4 


9947 


9989 


..3i 


.. 7 4 


7 


43 


4822 


4865 


4 9 o8 


4 9 5o 


499 3 


5o35 


16 


43 


9. 9 5oii6 


oi5 9 


O2OI 


0243 


0286 


o328 


16 


44 


5o 7 8 


5l2I 


5i63 


5206 


5248 


5291 


i5 


44 


o3 7 i 


o4i3 


o455 


0498 


o54o 


o582 


i5 


45 


5333 


53 7 6 


54i 9 


546i 


55o4 


5546 


i4 


45 


0625 


0667 


0-710 


O 7 52 


0794 


o83 7 


i4 


46 


558 9 


5632 


56 7 4 


5 7 i 7 


5 7 5 9 


58o2 


i3 


46 


0879 


0921 


0964 


1006 


1049 


1091 


i3 


4 7 


5844 


588 7 


5930 


5 97 2 


6oi5 


6o5 7 


12 


4? 


1x33 


1176 


1218 


1261 


i3o3 


1 345 


12 


48 


6100 


6142 


6i85 


622-7 


62-70 


63i3 


II 


48 


i388 


i43o 


1472 


i5i5 


i55 7 


1600 


II 


49 


6355 


63 9 8 


644o 


6483 


6525 


6568 


IO 


49 


1 642 


1 684 


I 7 2 7 


i 7 6 9 


1811 


i854 


IO 


5o 


9.936611 


6653 


6696 


6 7 38 


6 7 8i 


6823 


9 


5o 


9.951896 


1938 


1981 


2023 


2066 


2108 


9 


5i 


6866 


6908 


6951 


6994 


7 o36 


779 


8 


5i 


2i5o 


2193 


2235 


22 77 


2320 


2362 


8 


52 


7121 


7 i64 


7 2o6 


7 249 


7 2 9 I 


7334 


7 


52 


2 4o5 


2447 


2489 


2532 


25 7 4 


2616 


7 


53 


7377 


7419 


7 462 


7 5o4 


7 54 7 


7 58 9 


6 


53 


265 9 


2701 


2 7 43 


2 7 86 


2828 28-70 


6 


54 


7 632 


7 6 7 4 


77 I 7 


77 5 9 


7 802 


7 845 


5 


54 


2913 


2 9 55 


2998 


3o4o 


3o823i25 


5 


55 


7887 


79 3o 


7972 


8oi5 


8o5 7 


8100 


4 


55 


3i6 7 


3209 


3252 


32 9 4 


3336 ! 33 79 


4 


56 


8142 


8i85 


822-7 


82-70 


83i2 


8355 


3 


56 


342i 


3463 


35o6 


3548 


35 9 i|3633 


3 


5 7 


8398 


844o 


8483 


85 2 5 


8568 


8610 


2 


5 7 


3675 


3 7 i8 


3 7 6o 


3802 


3845J3887 


2 


58 


8653 


86 9 5 


8 7 38 


8 7 8o 


88 2 3 


8865 


I 


58 


3 9 2 9 


3 97 2 


4oi4 


4o56 


4099 4i4i 


I 


5q 


8908 


8 9 5o 


8 99 3 


9 o35 


9 o 7 8 


9121 


O 


5 9 


4i83 


4226 


426843io|4353!4395 


O 




60" 


50" 


40" 


30" 20" 


10" 


. 




60" 50" 


40" 30" 20" 10" 


a 




Co-tangent of 49 Degrees. 


a 




Co-tangent of 48 Degrees. 


i 


.< 1" 2" 3" 4" 5" 6" 7" 8" 9" 


.< 1" 2" 3" 4" 5" 6" 7" 8" 9" 


in \ 4 9 13 17 21 26 30 34 38 


in \ 4 8 13 17 21 25 30 34 38 



E 



66 



LOGARITHMIC SINES. 



c 


Sine of 42 Degrees. 




S 


Sine of 43 Degrees. 




i 


0" 


10" 


20" 


30" 


40" ! 50" 




S 


0" I 10" 


20" 


30" 


40" 


50" 




O 9.8255l I 


5534 


5558558i 


56o45628 


9 





9 .833 7 83 38o6 


828 


385i 


38 7 4 


38 9 6 


5 9 


I 


565i 


56? 5 


5698 5 7 2i 


5 7 45;5 7 68 


8 


I 


3 9 i 9 


9 4i 


964 


3986 


4oo 9 


4o32 


58 


2 


5 79 i 58i5 


5838586i 


5885 5 9 o8 


7 


2 


4o54 


4077 


99 


4l22 


4x44 


4i6 7 


57 


3 


5 9 3! 


5 9 55 


6978 6001 


6o25 6o48 


6 


3 


4i8 9 


212 


4234 


4257 


4280 


43o2 


56 


4 


6071 


6095 


6n86i4i 


6i656i88 


5 


4 


4325 


4347 


3 7 o 


43 9 2 


44i5 


443 7 


55 


5 


6211 


623562686281 


63o56328 


4 


5 


446o 


4482 


5o5 


4527 


455o 


45 7 2 


54 


6 


635i 63 7 563 9 8642i 


6444 : 6468 


3 


6 


45 9 5 


46i 7 


464o 


4662 


4685 


4707 


53 


7 


64 9 i 65i4 


6538656i 


6584,66o 7 


2 


7 


4 7 3o 


. 7 52 


4 77 5 


4797 


4820 


4842 


52 


8 


663i 6654 


6677 6701 


6724*6747 


I 


8 


4865 


.887 


910 




4 9 54 


4977 


5i 


9 


6770 


679468176840 


6863 6887 





9 


4999 


5O22 


o44 


5o6 7 


5o8 9 


5lI2 


5o 


10 


9.826910 


6933 


6966 6980 


7oo3 7026 


9 


10 


.835x34 


5!5 7 


i 79 


52OI 


5224 


5246 


49 


ii 


7o4 9 


7 o 7 3 


7096 7119 


7142 7165 


8 


ii 


5269 


52 9 I 


3i4 


5336 


5358 


538i 


48 


12 


7 i8 9 


7 2I2 


7 235 7 258 


7282 73o5 


, 7 


12 


54o3 


54.16 


5448 


5471 


5493 


55i5 


47 


i3 


7328 


7 35i 


73 7 4 7 3 9 8 


7421 


7444 


46 


i3 


5538 


556o 


5583 


56o5 


562 7 


565o 


46 


i4 


746 7 


7490 


7614 7537 


75607583 


45 


i4 


56 7 2 


56 9 5 


5 7 i 7 


5 7 3 9 


5 7 6 2 


5 7 84 


45 


i5 


7606 


7629 


7 653 7676 


7699 7722 


44 


i5 


58o 7 


582 9 


585i 


58 7 4 


58 9 6 


5 9 i8 


44 


16 


77 45 


77 68 


7792 7815 


7838,7861 


.3 


16 


5 9 4i 


5 9 63 


5 9 86 


6008 


6o3o 


6o53 


43^ 


17 


7 884 


7907 


7 9 3i 7954 


79778000 


.2, 


l l 


6o 7 5 


6o 9 7 


6120 


6142 


6i64 


6187 


42 


1 8 


8o23 


8o46 


$069 


BogS 




I 


18 


6209 


623i 


6254 


6276 


6298 


632i 


4i 


J 9 


8162 


8i85 


82088231 


82548278 


.O 


! 9 


6343 


6365 


6388 


64 10 


6432 6455 


4o 


20 


9 . 8283oi 


8324 


83478370 


83 9 384i6 


'9 


20 


9.836477 


64 99 


6522 


65446566 


658 9 


3 9 


21 


843 9 


8462 


8485 85o 9 


85328555 


38 


21 


6611 


6633 


6656 


6678 6700 


6722 


38 


22 


8578 


8601 


86248647 


86708^93 


3 7 


22 


6 7 45 


6767 


6 7 8 9 


6812 


6834 


6856 


37 


23 


8716 


8739 


87628786 


88098832 


36 


23 


6878 


6 9 oi 


6923 


6 9 45 


6968 


6990 


36 


24 


8855 


8878 


8 9 oi 8 9 24 


8947 8970 


35 


24 


7012 


7o34 


7o5 7 


7079 


7 IOI 


7123 


35 


25 


6 99 3 


9016 


9 o3 9 9 o62 


9085 9108 


34 


25 


7i46 


7168 


7190 


7212 


7 235 


72 5 7 


34 


26 


9 i3i 


9i54 


9 i77 9 20o 


9223 9246 


33 


26 


7279 


73oi 


7324 


7 346 


7 368 


7 3 9 


33 


27 


9 26 9 


9292 


9 3i59338 9 36i 


9 384 


32 


27 


7412 


7435 


7457 


7479 


7 5oi 


^524 


32 


28 


9 4o7 


9 43o 


9453 9476 9499 


9 522 


3i 


98 


7546 


7568 


7^9 


7612 


7 635 


7 65 7 


3i 


29 


9 545 


9 568 


9691 9614 


96379660 


3o 


29 


7679 


7701 


77 2 3 


7746 


7768 


779 


3o 


3o 


9 .82 9 683 


9 7o6 


97299752 


97759798 


29 


3o 


9.837812 


7834 


7 85 7 


7879 


7901 


79 23 


2 9 


3i 


9 82I 


9 844 


9867 9890 


99 i3 


9936 


28 


3i 


79 45 


7967 


799 


8012 


8o34 


8o56 


28 


32 


99 5 9 


99 8 2 


...5 


..28 




.. 7 4 


27 


32 


8078 


8100 


8i23 


8i45 


8167 


8i8 9 


27 


33 


9 .83oo 9 7 


0120 


0142 oi65 


0188 


0211 


26 


33 


8211 


8233 


8256 


8278 83oo 


8322 


26 


34 


0234 


0267 


0280 o3o3 


o326 


0349 


25 


34 


8344 


8366 


8388 


84io 


8433 


8455 


25 


35 


0372 


o3 9 5 


0417 o44o 


o463 


o486 


24 


35 


84 7 7 


8499 


852i 


8543 


8565 


858 7 


24 


36 


o5o 9 


o53 2 


o555 


0678 


0601 


0624 


23 


36 


8610 


8632 


8654 


86 7 6 


8698 


8 7 20 


23 


37 


o646 


o66 9 


0692 0715 


o 7 38 


0761 


22 


37 


8742 


8 7 64 


8786 


8808 


883i 


8853 


22 


38 


0784 


0807 


0829 


o85 2 


o8 7 5 


o8 9 S 


21 


38 


8875 


8897 


8919 


8 9 4i 


8963 


8 9 85 


21 


3 9 


O 9 2I 


o 9 44 


0967 0989 


1012 


io?5 


20 


3 9 


9007 


9029 


9o5i 


9 o 7 3 


9 o 9 5 


9 n8 


2O 


4o 9 .83io58 


1081 


no4 


1127 


n4 9 


1 172 


19 


4o 


9.839140 


9162 


9182 


9 2o6 


9228 


9 25o 


19 


4i 


1195 


1218 


1241 


1263 


1286 


i3o 9 


18 


4i 


9272 


9294 


9316 


9 338 


9 36o 


9 38 2 


18 


42 


1332 


i355 


i3 7 8 


i4oo 


i423 


1 446 


17 


42 


9404 


9426 


9448 


9 4 7 o 


9492 


g5i4 


! 


43 


i46 9 


l4 9 2 


i5i4 


i53 7 


i56o 


i583 


16 


43 


9 536 


9 558 


9 58o 


9 6o2 


9624 


9 646 


It 


44 


1606 


1628 


i65i 


i6 7 4 


i6 97 


1720 


i5 


44 


9668 


9690 


9712 


9734 


9756 


9778 


i5 


45 


1742 


1765 


1788 


1811 


i833 


i856 


i4 


45 


9800 


9822 


9844 


9 866 


9888 9910 


i4 


46 


i8 79 


1902 


1924 


194-7 


i 9 7o 


i 99 3 


i3 


46 


99 3 2 


9954 


9976 


9998 


. .20 . .42 


i3 


47 


20l5 


2o38 


2061 


2084 


2106 


2129 


12 


4? 


9 .84oo6/! 


0086 


0108 




Ol52 


O\n 


12 


48 


2l52 


2I 7 5 


2197 


222O 


2243 


2266 


II 


48 


0196 


0218 


0240 


0262 


0284 


o3o6 


II 


49 


2288 


23ll 


23342356 


2 3 79 


2402 


IO 


49 


o328 


o35o 


0372 


o3 9 3 


o4i5 


o43 7 


10 


5o 9 . 832425 


244 7 


2470 


2493 


25i5 


2538 


9 


5o 


9.840459 


o48i 


o5o3 


o525 


o54y 


o56 9 


9 


5i 


2 56i 


2584 


2606 


2629 


2652 


2674 


8 


5i 


oSgi 


06 1 ^ 


o635 


o65 7 


0678 


0700 


8 


52 


26 97 


2 7 20 


2742 


2 7 65 


2788 


2810 


7 


52 


0722 


074^ 


0766 


0-7880810 


o83 2 


7 


53 


2833 


2856 


2878 


2901 


2 9 24 


2946 


6 


53 


o854 


0876 


0897 


0919 0941 


o 9 63 


6 


54 


2 9 6 9 


2992 


3oi4 


3o3 7 


3o6o 


3082 


5 


54 


0985 


1007 


1029 


io5i 


1072 


109^ 


5 


55 


3io5 


3i28 


3i5o 


3i 7 3 


3 I9 6 


32i8 


4 


55 


1116 


n38 


1 1 60 


1182 \izoi 


1226 


4 


56 


3s4 i 


3263 


3286 


3309 


333i 


3354 


3 


56 


1247 


1269 


1291 


i3i3 i335 


i35 7 


3 , 


57 


3377 


33 99 


3422 


3444 


346 7 


34 9 o 


2 


5 7 


i3 7 8 


i4oo 


1422 


i444i466 


i486 




58 


35i2 


3535 


3557 


358o 


36o3 


3625 


I 


58 


i5og 


i53 


i553 


i5 7 5 i5 9 7 


1619 




5 9 


3648 


36 7 o 


3693 


3 7 i6 


3 7 38 


3 7 6i 


O 


5 9 


1640 


1662 


1 684 


I 7 06;I 7 28 


i 7 4 9 o 




60" 


50" 


40" 


30" 


20" 


10" 


d 




60" 


50" 


40" 


30" 20" 10" 


d 




Co-sine of 47 


Degrees. 


g 




Co-sine of 46 Degrees. 


1 


PPartJ 1 " 2 " 3 " 4// 


5" 6" 7" 8" 9" 


. f 1" 2" 3" 4" 5" 6" 7" 9" 9" 


F>lart { 2579 


11 14 16 18 21 


in \ 2 4 7 9 11 13 16 18 20 



LOGARITHMIC TANGENTS. 



1 


Tangent of 42 Degrees. 




a 


Tangent of 43 Degrees. 




s 


0" 


10" 


20" 1 30" 


40" 


50" 







0" 10" 20" 


30" 


40" 


50" 




o 


9.954437 


448o 


4522 


4564 


4607 


464 9 


5 9 





9 . 9 6 9 656 


9698 


97 4o 


9783 


9825 


9 86 7 


5 9 


I 


46 9 i 


4734 


4776 


4819 


486 1 


4 9 o3 


58 


I 


999 


99 5i 


9994 


..36 


.. 7 8 


. 120 


58 


2 


4g46 


4988 


5o3o 


5o 7 3 


5n5 


5r5 7 


57 


2 


9 . 97 oi62 


O205 


0247 


0289 


o33i 


o3 7 3 


57 


3 


5200 


5242 


5284 


532 7 


536 9 


54n 


56 


3 


o4i6 


o458 


o5oo 


o54 2 


o584 


0627 


56 


4 


5454 


5496 


5538 


558i 


5623 


5665 


55 


4 


o66 9 


0711 


o 7 53 


0796 


o838 


0880 


55 


5 


5 7 o8 


5 7 5o 


5 79 2 


5835 


58 77 


5 9 r 9 


54 


5 


O 9 22 


o 9 64 


1007 


1049 


1091 


n33 


54 


6 


5 9 6i 


6oo4 


6o46 


6088 


6i3i 


6i 7 3 


53 


6 


n 7 5 


1218 


1260 


1302 


1 344 


i386 


53 


7 


62i5 


6258 


63oo 


6342 


6385 


6427 


52 


7 


1429 


1471 


i5i3 


i555 


i5 9 7 


i64o 


52 


8 


6469 


65i2 


6554 


65 9 6 


663 9 


6681 


5i 


8 


1682 


1724 


1766 


1808 


i85i 


i8 9 3 


5i 


9 


6723 


6 7 66 


6808 


685o 


68 9 3 


6 9 35 


5o 


9 


i 9 35 


i 977 


20I 9 


2062 


2104 


2l46 


*)0 


10 


9.956977 


7 020 


7062 


7104 


7 i46 


7 :8 9 


4 9 


10 


9.972188 


2230 


2273 


23i5 


2 35 7 


2 3 99 


4 9 


ii 


7231 


7 2 7 3 


7 3i6 


7358 


7400 


7443 


48 


ii 


244i 


2484 


2526 


2568 


2610 


2652 


48 


12 


7485 


7 5 27 


7 5 7 o 


7612 


7 654 


7 6 97 


47 


12 


2695 


2737 


2779 


2821 


2863 


2 9 o5 


47 


i3 


77 3 9 


7781 


7823 


7866 


79 o8 


7 9 5o 


46 


i3 


2948 


2 99 


3o32 


3o 7 4 


3n6 


3i5 9 


46 


i4 


799 3 


8o35 


8077 


8120 


8x62 


8204 


45 


i4 


3201 


3243 


3 2 85 


332 7 


33 7 o 


34l2 


45 


i5 


8247 


8289 


833i 


83 7 3 


84i6 


8458 


44 


i5 


3454 


3496 


3538 


358i 


3623 


3665 


44 


16 


85oo 


8543 


8585 


8627 


8670 


8712 


43 


16 


3 7 o 7 


3 7 4 9 


3 79 i 


3834 


38 7 6 


3 9 i8 


43 


i? 


8 7 54 


8796 


8839 


8881 


8 9 23 


8 9 66 


42 


I 7 


3960 


4O02 


4o45 


4o8 7 


4129 


4171 


42 


18 


9008 


goSo 


9093 


9 i35 


9 i 77 


9 2I 9 


4i 


18 


42 I 3 


4255 


42 9 8 


434o 


4382 


4424 


4i 


J 9 


9262 


9 3o4 


9 346 


9 38 9 


9 43i 


9 4 7 3 


4o 


J 9 


4466 


45o 9 


455i 


45 9 3 


4635 


46 77 


4o 


20 


9.959516 


9558 


9 6oo 


9 642 


9 685 


97 2 7 


3 9 


20 


9.974720 


4762 


48o4 


4846 


4888 


4 9 3o 


3 9 


21 


9769 


9812 


9 854 


9 8 9 6 


99 38 


998! 


38 


21 


4973 


5oi5 


5o5 7 


5099 


5i4i 


5i83 


38 


22 


9.960023 


oo65 


0108 


oi5o 


OI 9 2 


0234 


37 


22 


5226 


5268 


53io 


5352 


53 9 4 


543 7 


37 


23 


0277 


0319 


o36i 


o4o4 


o446 


o488 


36 


23 


5479 


552i 


5563 


56o5 


564 7 


56 9 o 


36 


24 


o53o 


0573 


o6i5 


0667 


0700 


0742 


35 


24 


5 7 3 2 


5 77 4 


58i6 


5858 


5 9 oi 


5 9 43 


35 


25 


0784 


0826 


o86 9 


o 9 n 


o 9 53 


o 99 6 


34 


25 


5 9 85 


6027 


6o6 9 


6m 


6i54 


6i 9 6 


34 


26 


io38 


1080 


1122 


n65 


1207 


i24 9 


33 


26 


6238 


6280 


6322 


6364 


64o 7 


644 9 


33 


2 7 


1292 


i334 


i3 7 6 


i4i8 


i46i 


i5o3 


32 


27 


6491 


6533 


65 7 5 


6617 


6660 


6702 


32 


28 


1 545 


i58 7 


i63o 


1672 


1714 


i 7 5 7 


3i 


28 


6744 


6786 


6828 


6870 


6 9 i3 


6 9 55 


3i 


2 9 


1799 


i84i 


i883 


I 9 26 


I 9 68 


2010 


3o 


29 


6997 


7 3 9 


7081 


7123 


7 i66 


7208 


3o 


3o 


9.962062 


2095 


2137 


2I 79 


2222 


2264 


2 9 


3o 


9>9 7725o 


7292 


7334 


7377 


7 4i9 


746 1 


2 9 


3i 


23o6 


2348 


23 9 I 


2433 


2475 


2517 


28 


3i 


7 5o3 


7 545 


7 58 7 


763o 


7672 


7714 


28 


32 


256o 


2602 


2644 


2686 


2 7 2 9 


2771 


2 7 


32 


77 56 


7798 


7840 


7882 


792 5 


79 6 7 


27 


33 


28i3 


2856 


28 9 8 


2 9 40 


2 9 82 


3o25 


26 


33 


8oo 9 


8o5i 


8o 9 3 


8i35 


8178 


8220 


26 


34 


3o6 7 


3109 


3i5i 


3i 9 4 


3236 


32 7 a 


25 


34 


8262 


83o4 


8346 


8388 


843 1 


8473 


2 5 


35 


3320 


3363 


34o5 


3447 


348 9 


3532 


24 


35 


85i5 


855 7 


85 99 


864i 


8684 


8726 


24 


36 


35 7 4 


36i6 


365 9 


3701 


3 7 43 


3 7 85 


23 


36 


8 7 68 


8810 


8852 


88 9 4 


8 9 3 7 


8979 


23 


37 


38 2 8 


3870 


3 9 I2 


3 9 54 


3 997 


4o3 9 


22 


37 


9 O2I 


9063 


9 io5 


9 i47 


9 i 9 o 


9 232 


22 


38 
3 9 


4o8i 
4335 


4l23 

43 77 


4i66 

44i 9 


4208 
446 1 


4260 
45o4 


42 9 2 

4546 


21 
20 


38 
3 9 


0274 
9 52 7 


9 3i6 
9 56 9 


9 358 
9611 


9 4oo 
9 653 


9 442 
9 6 9 5 


9 485 
9738 


21 
2O 


4o 


9.964588 


463o 


46?3 


47i5 


4 7 5 7 


4799 


J 9 


4o 


9 . 9797 8o 


9 822 


9 864 


99 o6 


99 48 


999 


19 


4i 


4842 


4884 


4 9 26 


4 9 68 


Son 


5o53 


18 


4i 


9.980033 


oo 7 5 


0117 


oi5 9 


0201 


0243 


18 


4a 


5o 9 5 


5i3 7 


5i8o 


5222 


5264 


53o6 


17 


42 


.0286 


o328 


o3 7 o 


o4i2 


0454 


o4 9 6 


l l 


43 


534 9 


53 9 i 


5433 


5475 


55i8 


556o 


16 


43 


o538 


o58i 


0623 


o665 


0707 


074 9 


16 


44 


56o2 


5644 


568 7 


5 7 2 9 


5 77 i 


58i3 


i5 


44 


0791 


o834 


0876 


o 9 i8 


o 9 6o 


IOO2 


i5 


45 


5855 


58 9 8 


5 9 4o 


5 9 82 


6oa4 


6067 


i4 


45 


1044 


1086 


1129 


1171 


I2l3 


1255 


i4 


46 


6109 


6i5i 


6i 9 3 


6236 


6278 


6320 


i3 


46 


1297 


i33 9 


I38 2 


i424 


i466 


i5o8 


i3 


47 


6362 


64o5 


6447 


648 9 


653i>5 7 4 


12 


47 


i55o 


l5 9 2 


1634 


1677 


I7i 9 


1761 


12 


48 


6616 


6658 


6700 


6742 


6785 


6827 


II 


48 


i8o3 


i845 


1887 


I 9 2 9 


I 97 2 


2Ol4 


II 


49 


6869 


6911 


6 9 54 


6 99 6 


7o38 


7080 


10 


49 


2o56 


20 9 8 


2l4o 


2l82 


2224 


2267 


10 


5o 


9.967123 


7i65 


7 20 7 


7 24 9 


7 2 9 i 


7334 


9 


5o 


9.982309 


2 35i 


23 9 3 


2435 


2477 


25l 9 


9 


5i 


7 3 7 6 


74i8 


7 46o 


7 5o3 


7545 


7 58 7 


8 


5i 


2562 


2604 


2646 


2688 


2730 


2772 


8 


52 


7629 


7672 


77 i4 


7756 


779 8 


7 84o 


7 


52 


2814 


2 85 7 


2899 


2 9 4i 


2 9 83 


3o25 


7 


53 


7 883 


7925 


79 6 7 


8oo 9 


8o52 


8o 9 4 


6 


53 


3067 


3io 9 


3i5 2 


3i 9 4 


3236 


32 7 8 


6 


54 


8i36 


8178 


8220 


8263 


83o5 


834 7 


5 


54 


3320 


3362 


34o4 


3447 


348 9 


353i 


5 


55 


838 9 


8432 


84?4 


85i6 


8558 


8600 


4 


55 


35 7 3 


36i5 


365 7 


36 99 


3 7 4z 


3 7 84 


4 


56 


8643 


8685 


8 7 2 7 


8769 


8812 


8854 


3 


56 


3826 


3868 


3910 


3 9 52 


3 99 4 


4o3 7 


3 


5 7 


8896 


8938 


8980 


9023 


9 o65 


9 io 7 


2 


57 


4079 


4l2I 


4x63 


42o5 


4247 


428 9 


a 


58 


9149 


9192 


9234 


9276 


9 3i8 


9 36o 


I 


58 


433 2 


43 7 4 


44i6 


4458 


45oo 


4542 


i 


5 9 


9 4o3 


9445 


948 7 


9 5 29 


9 5 7 i 


9 6i4 


O 


5 9 


4584 


462 7 


466 9 


4711 


4753 


47 9 5 


o 




60" 


50" 


40" 


30" 


20" 


10" 


a 




60" 


50" 


40" 


30" 


20" 


10" 


. 




Co-tangent of 47 Degrees. 


1 




Co-tangent of 46 Degrees. 


1 


P Part 5 l " 2 " 3// 4 " 5 " 6 " 7 " 8 " 9 " 


PPoff 1 " 2 " 3 " 4 " 5 " 6 " 7" 8" 9" 


4 8 13 17 21 25 30 34 38 


m \ 4 8 13 17 21 25 30 34 38 



68 



LOGARITHMIC SINES. 



jj 


Sine of 44 Degrees. 




.3 


Sine of 45 Degrees. 




i 


0" 


10" 


20" 30" 40" 


50" 




Si 


0" 


10" 


20" 


30" 


40" 


50" 







9 . 841771 


i 79 3 


i8i5ii83 7 i858 


1880 


5 9 


09.849485 


9 5o6 


9 5 27 


9 54* 


9 56 9 


9 5 9 o 


5 9 


I 


I 9 02 


I 9 24 


i 9 46 i 9 6 7 i 9 8 9 


2OII 


58 


i 


9 6n 


9 632 


9 653 


9 6 7 4 


9 6 9 5 


97 i6 


58 


2 


2o33 


2o55 


2O 7 6 


20 9 8 2I2O 


2l42 


5? 


2 


9738 


97 5 9 


97 8o 


9 8oi 


9 822 


9 843 


57 


r . 


2i63 


2i85 


220 7 


222 9 225o 


2272 56 


*H 


9 864 


9 885 


99 6 


9927 


99 48 


9969 


56 


4 


22 9 4 


23i6 


233 7 


235 9 238l 


24o3|55 


4 


999 


. .11 


..32 


..53 


.. 7 4 


.. 9 5 


55 


i 


242^ 


2446 


2468 


24 9 25ll 


253354 


e 


9 .85oi 16 


oi3 7 


oi58 


oi 79 


O200 


O22I 


54 


6 


2555 


2577 


25 9 8'262o 2642 


2663 


53 


6 


0242 


0263 


0284 


o3o5 


o326 


o347 


53 


\ 


2685 


2707 


2 7 2 9 2 7 5o 2 77 2 


27^ 


52 


7 


o368 


o388 


o4o 9 


o43o 


o45i 


0472 


52 




28i5 


283 7 


285 9 J288o 2 9 O2 




5i 


8 


0493 


o5i4 


o535 


o556 


o5 77 


o5 9 8 


5i 


9 


2 9 46 


2 9 67 


2 9 8 9 3on 


3o32 


3o54 


5o 


9 


06 1 9 


o64o 


0661 


0682 


0703 


0724 


5o 


10 


9 . 843o 7 6 


3097 


3n 9 {3i4i 


3i62 


3i84 


49 


10 


9 .85o 7 45 


o 7 66 


0787 


o8o 7 


0828 


o84 9 


49 


ii 


3206 


3227 324 9 3271 


32 9 2 


33i4 


48 


ii 


0870 


o8 9 i 


O 9 I2 


o 9 33 


o 9 54 


o 97 5 


48 


12 


3336 


3357 


33 79 34oi 


3422 


3444 


47 


12 


o 99 6 


IOI 7 


io38 


io58 


io 79 


IIOO 


4 7 


i3 


3466 


348 7 l35o 9 


353o 


3552 


35 7 4 


46 


i3 


II2I 


1 14- 


n63 


1184 


I2O5 


1226 


46 


i4 


35 9 5 


36i 7 


363 9 


366o 


3682 


3 7 o3 


45 


i4 


1246 


126-7 


1288 


i3o 9 


i33o 


i35i 


45 


i5 


3725 


3 7 4 7 3768 


3 79 o 


38n 


3833 


44 


i5 


1372 


i3 9 3 


i4i3 


i434 


i455 


i4 7 6 


44 


16 


3855 


38 7 6 


38 9 8 


3 9 i 9 


3 9 4i 


3 9 63 


43 


16 


i4 9 7 


i5i8 


i53 9 


i55 9 


i58o 


1601 


43 


17 


3 9 84 


4oo6 4o2 7 


4o4 9 


4071 


4o 9 2 


42 


17 


1622 


1 643 


1 664 


i685 


1705 


I 7 26 


42 


18 


4n4 


4i354i5 7 


4178 


4200 


4222 


4i 


18 


1747 


i 7 68 


i 7 8 9 


1810 


i83o 


1861 


4i 


'9 

20 


4243 
9. 8443 7 2 


4265428643o8 
43 9 4 44i6443 7 


432 9 
445 9 


435i 
448o 


4o 
3 9 


J 9 
20 


1872 
9 .85i 99 7 


i8 9 3 
2018 


2o3 9 


i 9 35 
2o5 9 


i 9 55 
2080 


i 97 6 

2IOI 


4o 
3 9 


21 


45o2 


452345454566 


4588 


46o 9 


38 


21 


2122 


2i43 


2i63 


2184 


22O5 


2226 


38 


22 


463i 


4652 46 7 4 ! 46 9 6 


4717 


4 7 3 9 


37 


22 


2247 


226 7 


2288 


23o 9 


233o 


2 35o 


37 


23 


4760 


4 7 8 2 


48o3 


4825 


4846 


4868 


36 


23 


2371 


23 9 2 


c4i3 


2434 


2454 


2 4 7 5 


36 


24 


488 9 


4 9 n 


4 9 32 


4 9 54 


497 5 


4997 


35 


24 


24 9 6 


25l 7 


253 7 


2558 


2 5 79 


2600 


35 


25 


5oi8 


5o4o 5o6i 


5o83 


5io4 


5i26 


34 


25 


2620 


2641 


2662 


2683 


2 7 o3 


2724 


34 


. 26 


5i47 


5i68 5i 9 o 


5211 


5233 


5254 


33 


26 


2 7 45 


2766 


2786 


28o 7 


2828 


2 84 9 


33 


27 


52 7 6 


52 97 53i 9 


534o 


5362 


5383 


32 


27 


286 9 


28 9 


2 91 J 


2 9 3i 


2 9 52 


2973 


32 


28 


54o5 


5426 544 7 546 9 


54 9 o 


55i2 


3i 


28 


2 99 4 


3oi4 


3o35 


3o56 


3o 7 6 


3o 97 


3i 


2 9 


5533 


5555 


55765598 


56i 9 


564o 


3o 


29 


3n8 


3i3 9 


3i5 9 


3i8o 


3201 


3221 


3o 


3o 


9 . 845662 


5683 


57055726 


5 7 4 7 


5769 


29 


So 


9 . 853242 


3263 


3 2 83 


33o4 


3325 


3345 


2 9 


3i 


5 79 


58i2 


58335855 


58 7 6 58 97 


28 


3i 


3366 


3387 


34o8 


3428 


344 9 


34 7 o 


28 


32 


5 9 i 9 


5 9 4o 5 9 62 


5 9 83 


6oo4 6026 


27 


32 


34 9 o 


35n 


3532 


3552 


35 7 3 


35 9 4 


2 7 


33 


6047 


6o6 9 6o 9 o 


6m 


6i336i54 


26 


33 


36i4 


3635 


3655 


36 7 6 


36 97 


37i7 


26 


34 


6i 7 5 


6197 


6218 


6240 


6261 


6282 


25 


34 


3738 


3 7 5 9 


3779 


38oo 


382i 


384i 


25 


35 


63o4 


6325 


6346 


6368 


638 9 64io 


24 


35 


3862 


3883 


3 9 o3 


3 9 24 


3 9 44 


3 9 65 


24 


36 


6432 


6453 64?4 


64 9 6 


65i 7 653 9 


23 


36 


3 9 86 


4oo6 


4027 


4o4 7 


4o68 


4o8 9 


23 


37 


656o 


658i 


66o3 


6624 


6645666 7 


22 


37 


4io 9 


4i3o 


4i5i 


4171 


4l 9 2 


4212 


22 


38 


6688 


6 7 o 9 6 7 3i 


67^267736794 


21 


38 


4233 


4254 


42 7 4 


42 9 5 


43i54336 


21 


3 9 


6816 


683 7 6858 


6880 


6 9 oi 6 9 22 


2O 


3 9 


4356 


43 7 7 


43 9 8 


44i8 


44394450 


2O 


4o 


9 .846 9 44 


6 9 65 6986 


7008 


jO2 9 7o5o 


19 


4o 


9 . 85448o 


45oo 


452i 


4542 


4562 


4583 


19 


4i 


7071 


7 o 9 3 


7114 


7 i35 


71577178 


18 


4i 


46o3 


4624 


4644 


4665 


4686 


4706 


18 


42 


7i 99 


7220 7242 


7 263 


7284^305 


17 


42 


4 7 2 7 


4 7 4 7 


4 7 68 


4 7 88 


48r>9 


482 9 


17 


43 




7 348 7 36 9 


7 3 9 i 


7 4i2 7 433 


16 


43 


485o 


4870 


48 9 i 


4 9 n 


4 9 3 2 


4 9 53 


16 


44 


7454 


7476 74 9 7 


7 5i8 


753 9 7561 


i5 


44 


4 97 3 


4 99 4 


5oi4 


5o35 


5o55 


5o 7 6 


i5 


45 


7582 


7603 7624 


7 645 


7 66 7 7688 


i4 


45 


5o 9 6 


5n 7 


5i3 7 


5i58 


5i 7 8 


5i 99 


i4 


46 


779 


77307752 


777 3 


779 4 7 8i5 


i3 


46 


52I 9 


524o 


5260 


5281 


53oi 


5322 


i3 


47 


7 836 


7 858 7 8 79 


79 oo 


79 2ij 79 43 


12 


47 


.5342 


5363 


5383 


54o4 


5424 


5445 


12 


48 


7964 


7 9 85 ] 8oo6 


8027 


8o4 9 8070 


II 


48 


5465 


5485 


55o6 


5526 


554 7 


556 7 


II 


49 


8o 9 i 


8112 


8i33 


8i54 


81768^7 


10 


49 


5588 


56o8 


562 9 


564 9 


56 7 o 


56 9 o 


IO 


5o 


9 . 848218 


823 9 8260 


8282 


83o383 2 4 


9 


5o 


9 .855 7 n 


5 7 3i 


5 7 5i 


5772 


5 79 2 


58i3 


9 


5i 


8345 


8366 838 7 


84o 9 


843o845i 


8 


5i 


5833 


5854 


58 7 4 


58 9 5 


5 9 i5 


5 9 35 


8 


52 


8472 


84 9 3 


85i4 


8535 


85578578 


7 


52 


5 9 56 


5976 


5 997 


6017 


6o38 


6o58 


7 


53 


85 99 


86208641 


8662 


8683 8 7 o5 


6 


53 


6o 7 8 


6o 99 


6n 9 


6i4o 


6160 


6180 


6 


54 


8726 


8 7 4 7 '8 7 68 


8 7 8 9 


8810 883i 


5 


54 


6201 


6221 


6242 6262 


6282 63o3 


5 


55 


8852 


88 7 4 


88 9 5 


8 9 i6 


8 9 3 7 8 9 58 


4 


55 


6323634463646384 


64o5 6425 


4 


56 


8979 


9 000 9 O2I 


9 o42 


9 o63 9 o85 


3 


56 


6446 


6466 6486 6507 6527 6547 


3 


5 7 


9 io6 


9 I2 7 


9 i48 9 i6 9 


9 I 9 9 2II 


2 


57 


6568 


6588 


66o 9 66s 9 664 9 6670 


2 


58 


9 232 


9 253 


9 2 749 2 95 


9 3i6' 9 338 


I 


58 


66 9 o 6 7 io 


6 7 3i6 7 5i:6 77 i 6 79 2 i 


5 9 


9 35 9 


9 38o 


9 4oi 


9 422 


9 443 9 464 


O 


5 9 


6812 6832 6853 68 7 3|68 9 36 9 i4 o 




60" 


50" | 


40" 30" 


20" 10" 


j 




60" | 50" 40" i 30" i 20" 10" _. 




Co-sine of 45 Degrees. 


1 




Co-sine of 44 Degrees. s 


t tn o" *V' 
P Part I 


4" 5" 6" 7" 8" 9" 


p P ,51" 2" 3" 4" 5" 6" 7" 8" 9" : 


"{ 2 4 6 


9 11 13 15 17 19 


m \ 2 4 6 8 10 12 14 17 19 



LOGARITHMIC TANGENTS. 



1 


Tangent of 44 Degrees. 




a 


Tangent of 45 Degrees. 




jg 


0" 


10" 


20" 


30" 


40" j 50" 




* 


0" 


10" 


20" 


30" 


40" 


50" 




o 


9.98483-7 


48 79 


4 9 2I 


4964 


5oo6 


5o48 


5 9 


o 


IO.OOOOOO 


OO42 


oo84 


0126 


0168 


O2II 


5 9 


i 


5090 


5i32 


5i 7 4 


52i6 


525 9 


53oi 


58 


I 


0253 


02 9 5 


o33 7 


o3 79 


O42I 


o463 


58 


2 


5343 


5385 


542-7 


5469 


55n 


5553 


5 7 


2 


o5o5 


o54 7 


o5 9 o 


o632 


o6 7 4 


o 7 i6 


57 


3 


55 9 6 


5638 


568o 


5 7 22 


5 7 64 


58o6 


56 


3 


o 7 58 


0800 


0842 


0884 


0926 


o 9 6 9 


56 


4 


5848 


5891 


5 9 33 


5 97 5 


6oi 7 


6o5 9 


55 


4 


IOII 


io53 


io 9 5 


n3 7 


"79 


1221 


55 


5 


6101 


6i43 


6i85 


6228 


62 7 


63i2 


34 


5 


1263 


i3o5 


1 348 


1390 


1432 


i4 7 4 


54 


6 


6354 


63 9 6 


6438 


648o 


6523 


6565 


53 


6 


i5i6 


i558 


1600 


1642 


1 684 


1727 


53 


7 


66o 7 


6649 


66 9 i 


6 7 33 


6 77 5 


68i 7 


52 


7 


i 7 69 


1811 


i853 


i8 9 5 


i 9 3 7 


i 979 


52 


8 


6860 


6902 


6 9 44 


6986 


-7028 


7 o 7 o 


5i 


8 


2O2I 


2o63 


2106 


2148 


2190 


2232 


5i 


9 


7 II2 


7i54 


7 i 97 


7 s3 9 


-7281 


7 323 


5o 


9 


22 7 4 


23i6 


2358 


2400 


2442 


2485 


5o 


10 


9 . 9 8 7 365 


7 4o 7 


744 9 


749 1 


7 534 


7 5 7 6 


49 


10 


IO.OO252 7 


256 9 


2611 


2653 


2695 


2 7 3 7 


4 9 


ii 


-7618 


7 66o 


77 02 


77 44 


77 86 


7 82 9 


48 


ii 


2 779 


2821 


2864 


2906 


2948 


2 99 


48 


12 


7871 


79 i3 


79 55 


7997 


8o3 9 


8081 


47 


12 


3o32 


3o 7 4 


3n6 


3i58 


3200 


3243 


47 


i3 


8i23 


8166 


8208 


825o 


82 9 2 


8334 


46 


i3 


3285 


332 7 


336 9 


34n 


3453 


3495 


46 


i4 


83 7 6 


84i8 


846o 


85o3 


8545 


858 7 


45 


i4 


353 7 


35 79 


3622 


3664 


3 7 o6 


3 7 48 


45 


!5 


862 9 


86 7 i 


8 7 i3 


8 7 55 


8797 


884o 


44 


i5 


379 


3832 


38 7 4 


3916 


3 9 58 


4ooi 


44 


16 


8882 


8924 


8966 


9008 


9 o5o 


9092 


43 


16 


4o43 


4o85 


4l2 7 


4i6 9 


4211 


4253 


43 


l l 


9 i34 


9i 77 


9219 


9261 


9 3o3 


9 345 


42 


I 7 


42 9 5 


433 7 


438o 


4422 


4464 


45o6 


42 


18 


9 38 7 


9429 


9471 


9 5i3 


9 556 


9 5 9 8 


4i 


18 


4548 


45 9 o 


463 2 


46 7 4 


4 7 i6 


4 7 5 9 


4i 


19 


9 64o 


9682 


9724 


97 66 


9808 


985o 


4o 


19 


48oi 


4843 


4885 


4 9 2 7 


4969 


Son 


4o 


20 


9 . 9 8 9 8 9 3 


99 35 


9977 




..61 


.io3 


3 9 


20 


io.oo5o53 


5o 9 5 


5i38 


5i8o 


5222 


5264 


39 


21 


9 . 99 oi45 


oi8 7 


0230 


O2 7 2 


o3i4 


o356 


38 


21 


53o6 


5348 


53 9 o 


5432 


54 7 4 


55i 7 


38 


22 


o3 9 8 


o44o 


0482 


0524 


o56 7 


0609 


37 


22 


555 9 


56oi 


5643 


5685 


5 7 2 7 


5 7 6 9 


37 


23 


o65i 


0693 


o 7 35 


777 


0819 


0861 


36 


23 


58! i 


5854 


5896 


5 9 38 


5980 


6022 


36 


24 


o 9 o3 


0946 


0988 


io3o 


IO 7 2 


ni4 


35 


24 


6o64 


6106 


6i48 


6i 9 o 


6233 


62 7 5 


35 


25 


n56 


1198 


1240 


1283 


i325 


i36 7 


34 


25 


63i 7 


635 9 


64oi 


6443 


6485 


652 7 


34 


26 


i4o 9 


i45i 


1493 


i535 


1-577 


1620 


33 


26 


656 9 


6612 


6654 


6696 


6 7 38 


6 7 8o 


33 


27 


1662 


i 7 o4 


i 7 46 


i 7 88 


i83o 


l8 7 2 


32 


2 7 


6822 


6864 


6906 


6949 


6991 


7 o33 


32- 


28 


i 9 i4 


1956 


1999 


2o4l 


2o83 


2125 


3i 


28 


7 o 7 5 


7117 


7 l5 9 


7 20I 


7243 


7 285 


3i 


29 


2l6 7 


2209 


r 

225l 


22 9 3 


2 336 


23 7 8 


3o 


2 9 


7 3 2 8 


7 3 7 o 


7 4i2 


7 454 


7496 


7 538 


3o 


3o 


9 . 99 2420 


2462 


2504 


2546 


2 588 


2 63o 


2 9 


3o 


io.oo 7 58o 


-7622 


7 664 


777 


7749 


779 1 


2 9 


3i 


26 7 2 


2 7 l5 


2 7 5 7 


2799 


2841 


2883 


28 


3i 


7 833 


7 8 7 5 


79 i 7 


79 5 9 


8001 


8o44 


28 


32 


2925 


296? 


3009 


3o5i 


3o 9 4 


3i36 


2 7 


32 


8086 


8128 


81-70 


8212 


8254 


82 9 6 


27 


33 


3i 7 8 


3220 


3262 


33o4 


3346 


3388 


26 


33 


8338 


838o 


8423 


8465 


85o 7 


854 9 


26 


34 


343i 


34 7 3 


35i5 


355 7 


35 99 


364i 


25 


34 


85 9 i 


8633 


86 7 5 


8 7 i 7 


8 7 6o 


8802 


25 


35 


3683 


3 7 25 


3 7 6 7 


38io 


3852 


38 9 4 


24 


35 


8844 


8886 


8928 


8g 7 o 


9012 


9 o54 


24 


36 


3 9 36 


3978 


4020 


4062 


4io4 


4i46 


23 


36 


997 


9 i3 9 


9181 


9223 


9 265 


9 3o 7 


23 


37 


4189 


423i 


42 7 3 


43i5 


435 7 


43 99 


22 


37 


9 34 9 


9 3 9 i 


9 433 


9476 


9 5i 


9 56o 


22 


38 


444i 


4483 


4526 


4568 


46io 


465 2 


21 


38 


9 6O2 


9 644 


9686 


9?2 8 


977 o 9 8!3 


21 


39 


46 9 4 


4736 


4 7 78 


4820 


4862 


4905 


2O 


3 9 


9 855 


9897 


99 3 9 


998i 


..23 


..65 


2O 


4o 


9-994947 


4989 


5o3i 


5o 7 3 


5n5 


5i5 7 


I 9 


4o 


IO.OIOI0 7 


oi5o 


0192 


0234 


02 7 6 


o3i8 


'9 


4i 


5199 




5 2 84 


53 2 6 


5368 


54io 


18 


4i 


o36o 


0402 


o444 


o48 7 


o52 9 


o5 7 i 


18 


42 


5452 


5494 


5536 


55 7 8 


5620 


5663 


! 7 


42 


o6i3 


o655 


o6 97 


o 7 3 9 


0-781 


0823 


17 


43 


5 7 o5 


5 7 4 7 


5 7 8 9 


583i 


58 7 3 


5 9 i5 


16 


43 


0866 


0908 


o 9 5o 


99 2 


io34 


io 7 6 


16 


44 


5 9 5 7 


5 999 


6o42 


6o84 


6126 


6168 


i5 


44 


1118 


1 1 60 


1203 


1245 


I28 7 


i32 9 


i5 


45 


6210 


6252 


6294 


6336 


63 7 8 


6421 


i4 


45 


i3 7 i 


i4i3 


i455 


i4 9 7 


i54o 


i582 


i4 


46 


6463 


65o5 


654 7 


658 9 


663i 


66 7 3 


i3 


46 


1624 


1666 


I 7 o8 


i 7 5o 


I 79 2 


i834 


18 


47 


6 7 i5 


6 7 5 7 


6800 


6842 


6884 


6926 


12 


47 


i8 77 


1919 


i 9 6i 


2O03 


2045 


208-7 


12 


48 


6968 


7010 


7 o52 


7 o 9 4 


7 i36 


7 i 7 9 


II 


48 


2I2 9 


2I 7 I 


22l4 


2256 


22 9 8J234o 


II 


49 


7221 


72 63 


7 3o5 


7347 


7 38 9 


7 43i 


10 


49 


2382 


2424 


2466 


25o 9 


2 55i 25 9 3 


IO 


5o 


9.99 7 4 7 3 


7 5!5 


7 558 


7 6oo 


7 642 


7 684 


9 


5o 


10.012635 


26 77 


2719 


2 7 6l 


2 8o3 2846 


9 


5i 


77 26 


77 68 


7 8io 


7 85 2 


789417937 


8 


5i 


2888 


2930 


2 97 2 


3oi4 


3o56 


3o 9 8 


8 


52 


7979 


8021 


8o63 


8io5 


8i4 7 |8i8 9 


7 


52 


3i4o 


3i83 


3225 


326 7 


33o 9 


335i 


7 


53 


823i 


82 7 3 


83i6 


8358 


84oo 


8442 


6 


53 


33 9 3 


3435 


34 77 


3520 


3562 36o4 


6 


54 


8484 


8526 


8568 


8610 


8652 


86 9 5 


5 


54 


3646 


3688 


3 7 3o 


3772 


38i5 


385 7 


5 


55 


8 7 3 7 


8779 


8821 


8863 


8 9 o5 


8 9 4 7 


4 


55 


38 99 


3g4i 


3 9 83 


4o25 


4o6 7 


4109 


4 


56 

5 7 


8989 9031 
9242 928^ 


90-74 
9 326 


9 n6 
9 368 


9 i58 
9 4io 


9200 
9 453 


3 

2 


56 


4i5 2 
44o4 


4i94 

444 7 


4236 
448 9 


42 7 8 

453i 


4320 
45 7 3 


4362 
46i5 


3 

2 


58 


9495 


953 79 5 79 


9 62I 


9 663 


97 o5 


I 


58 


465 7 


4699 


4 7 4i 


4?84 


4826 


4868 


I 


5 9 


9747 


97 8 99 832 


9 8 7 4 


99 i6 


99 58 





5 9 


4 9 io 


4 9 5 2 


4 99 4 


5o36 


5o 79 j5i2i 







60" 50" 40" 


30" 


20" 10" 


. 




60" 50" 


40" 


30" 


20" | 10" 


- 




Co-tangent of 45 Degrees. 


s . 




Co-tangent of 44 Degrees. 


s 


A 1" 2" 3" 4" 5" 6" 7" 8" 9" 


p p ( 1" 2" 3" 4" 5" 6" 7" 8" 9" 


.rartj 4 8 13 17 21 25 29 34 38 


P.Part^ 4 g 13 17 21 25 29 34 38 



70 



LOGARITHMIC SINES. 



d 


Sine of 46 Degrees. 




d 


Sine of 47 Degrees. 




ii 


0" | 10" | 20" 


i -30" 


40" 50" 


0" | 10" 20" [ 30" 


50" 




0^9. 866934 6964 6976 


,6995 


7016 7036 69 


09.86412-7 


4i4 7 4167 4186,4206 


4226 


69 


i 


7066 7076 7097 


7117 


71377168 58 


i 


4245 


42664284 


43o4!4324 


4343 


58 


2 


7178 


7 i 9 8 


7219 


7239 


7269 


727967 


2 


4363 


4383 4402 


4422;444i 


446 1 


57 


3 

4 


7 3oo 

7422 


7320 

7442 


7340 7361 
7462 7482 


7 38i 7 4oi 56 
7603762355 


3 

4 


448 1 
45 9 8 


45oo 

46i8 


4620 
463 7 


453 9 !4559 
465 7 46 7 6 


45 79 
46 9 6 


56 
55 


5 


7 543 7 563 


7584 


7604 


7624 7645 54 


5 


4716 


4735 


4755 


4774 


4794 


48i3 


54 


6 


7665J 7 685 


7706 


7726 


77 46 7766 53 


6 


4833 


4853 


4872 


4892 


4911 


4 9 3i 


53 


7 

8 


7786 
7908 


7807 

79 28 


7827 
7948 


7847 
7968 


7867 
7989 


7888 
8009 


62 
5i 


8 


4960 
5o68 


49704990 
5o87j5io7 


6009 
6126 


6029 

5i46 


5o48 
6166 


62 
5i 


9 


8029 


8o4 9 8070 8o 9 o 


8no;8i3o 5o 


9 


5i85 


6204 


6224 


6244 


5263 


5283 


5o 


10 


9.868161 


8171 


8191 


8211 


823i 82'52 


49 


10 


9-865302 


5322 


534i 


536i 


538o 


54oo 


49 


ii 


8272 


82 9 2 


83i2 


8332 


8353 83 7 3 


48 


ii 


5419 


543 9 


5458 


5478 


54 97 


55i 7 


48 


12 


83 9 3 


84i3 


8433 8454 


8474 


84 9 4 


47 


12 


5536 


5556 55 7 5 


55 9 5 


56i4 


5634 


47 


i3 


85i4 


8534 


8554 


8676 


86968616 


46 


i3 


5653 


56 7 3 


6692 


6712 


5 7 3i 


5 7 5i 


46 


i4 


8635 


8655 


8676 


8696 


8 7 i6:8 7 36 


45 


i4 


6770 


6790 


6809 


6828 


5848 


586 7 


45 


16 


8766 


8776 


87968817 


88378867 


44 


16 


6887 


6906 


6926 


5 9 45 


6966 


5 9 84 


44 


16 


8877 


88 97 


8917 


8 9 3 7 


89688978 


43 


16 


6oo4 


6023 


6042 


6062 


6081 


6101 


43 


17 


8998 


9 oi8 


9o38 9068 


9078:9098 


42 


17 


6120 


6.i4o 


6169 


6179 


6198 


6217 


42 


18 


9119 


9 i3 9 


91699179 


91999219 


4i 


18 


6237 


6266 


6276 


6296 


63i5 


6334 


4i 


19 


9 23 9 


9269 


9279 gSoo 


9320^340 


4o 


'9 


6353 


63 7 3 


63 9 2 


6412 


643i 


645o 


4o 


20 o.o5o3oo 


9 38o 


QdOO 


9420 


944o 9460 


3 9 


20 


9.866470 


648 9 


65o 9 


6628 


654 7 


6667 


3 9 


21 


9 48o 


9601 


9621 


9641 


9661 9681 


38 


21 


,6586 


6606 


6626 


6644 


6664 


6683 


38 


22 9601 


9621 


9641 


9661 


9681 9701 


37 


22 


6703 


6 7 22 


6 7 4i 


6761 


6780 


6800 


37 


23 9721 


9741 


97 6i 


9.781 9 8o2 9822 


36 


23 


6819 


6838 


6858 


6877 


6896 


6916 


36 


24 9842 


9862 


9882 


9902 


9922 9942 


35 


24 


6 9 35 


6 9 54 


6 97 4 


6 99 3 


7013 


7032 


35 


26 9962 


9982 


. . .2 


. .22 


. .42). .62 


34 


25 


7061 


7071 


70 9 o 


7109 


7129 


7148 


34 


26 9.860082 


OI02 


0122 


0142 


0162 0182 


33 


26 


7167 


7187 


7206 


7226 


7245 


7264 


33 


27! O2O2 


0222 


O242 O262 


0282 o3o2 


32 


2 7 


7 283 


7 3o3 


7322 


7341 


7 36i 


7 38o 


32 


28 0322 


0342 


o362 o382 


o4o2 o422 


3i 


28 


7399 


7419 


7438 


745 7 


7 4 7 6 


7496 


3 1 


29 O442 


0462 


0482 0602 


O522:o542 


3o 


29 


-7616 


7534 


7554 


7 5 7 3 


7692 


7612 


3o 


309.860662 


0582 


0602 0622 0642 0662 


29 


3o 


9-86 7 63i 


7660 


7660. 


7 68 9 


77 o8 


7727 


29 


3i 


0682 


O7O2 


0722 0742 


0762 0782 


28 


3i 


7747 


7766 


7785 


780/1 


7 8 2 4 


7843 


28 


32 


0802 


0822 


0842 0862 


0882 0902 


27 


32 


7862 


7882 


79 oi 


7 9 20 


79 3 9 


7969 


2 7 


33 


O 9 22 


094l 


0961 


9 8l 


1001 


1 02 1 


26 


33 


797 s 


7997 


8016 


8o36 


8o55 


8074(26 


34 


io4i 


1061 


1081 


IIOI.II2I 


n4i 


26 


34 


8o 9 3 


8ii3 


8i32 


8161 


8i 7 o 


8190 26 


35 


1161 


1181 


1201 


1221 I24O 


1260 


24 


35 


8209 


8228 


8 2 4 7 


8267 


8286 


83o5 


24 


36 


1280 


i3oo 


l320 


i34o 


i36o 


i38o 


23 


36 


8324 


8343 


8363 


8382 


84oi 


8420 


23 


37 


i4bo 


l420 


i43 9 


1469 1479 


1499 


22 


37 


844o 


845 9 


84 7 8 


84 97 


8616 


8536 


22 


38 


1619 


i53 9 


i55 9 


1679 159911618 


21 


38 


8555 


85 7 4 


85 9 3 


8612 


8632 


865 1 


21 


3 9 


i638 


1668 


1678 


1698 1718 


1738 


20 


3 9 


86 7 o 


8689 


8708 


8728 


8747 


8 7 66 


20 


4o 


9 . 86:768 


1777 


170.7 


1817 1837 


1867 


'9 


4o 


9 .868 7 85 


8804 


88 2 3 


8843 


8862 


8881 


19 


4i 


1877 


1897 


1916 


1936 1966 


1976 


18 


4i 


8900 


8919 


8 9 3 9 


8 9 58 


8977 


8996 


1 8 


42 


i 99 6 


2016 


2o35 


2066 2076 


2096 


I 7 


42 


9016 


9 o34 


9 o53 


9 o 7 3 


9092 


9111 


17 


43 


21 16 


2i35 


2164 


2174 21 9 4 


22l4 


16 


43 


9i3o 


9149 


9 i68 


9 i88 


9 2 7 


9226 


16 


44 


2234 


2264 


2273 


2293 23i3 


2333 


i5 


44 


9246 


9264 


9 283 


9 302 


9321 


9 34i 


16 


45 


2353 


2372 


23 9 2 


J-ll 2 2432 


2462 


i4 


45 


936o 


9 3 79 


9 3 9 8 


9 4i7 9 436 


9 455 


r4 


46 


2471 


2491 


2611 


253i 2661 


2670 


i3 


46 


9474 


9494 


9 5i3 


9 532 9 55i 


9 5 7 o 


i3 


47 


260.0 


2610 


263026602669 


2689 


12 


47 


9689 


9608 


9627 


9 646 9 665 


9 685 


12 


48 


270 9 


2729 


2748 2768 2788 


2808 


II 


48 


9704 


9723 


9742 


9761 


9780 


9799 IJ 


49 


2827 


2847 


2867 2887 2906 


2926 


IO 


49 


9818 


9 83 7 


9866 


9876 


9894 


99x410 


5o 


9 . 862946 


2966 


2986 


3oo5 


3o 2 5 


3o45 


9 


5o 


9.869933 


9962 


9971 


9990 


...9 


..28 9 


61 


3o64 


3o84 


3io4 3i24 


3i43 


3i63 


8 


61 


9.8 7 oo4 7 


0066 0086 


oio4 




8 


62 


3i83 


32o3 


3222 


3242 


3262 


3281 


7 


62 


f 
0161 


0180 0199 


0218 0238 0267 


7 


53 


33oi 


332i 


334i 


336o 


338o 


34oo 


6 


53 


O2 7 6 


0296 


o3i4 


o3'33 


o35-3 0371 


6 


54 


34i9 


343 9 


345 9 


3478 


3498 


35i8 


5 


54 


oSgo 


0409 


0428 


o447 o466 o485 


5 


55 


3538 


355 7 


35 7 7 


35 9 7 


36i6 


3636 


4 


55 


o5o4 


0623 0642 


0661 0680 


0699 


4 


56 


3656 


3676 


3696 


3 7 i5 


3 7 34 


3 7 54 


3 


56 


0618 o63 7 0666 o6 7 5 0694 


o 7 i3i 3 


57 


3 77 4 


3 79 3 


38i3 


3833 


3852 


38 7 2 


2 


57 


o 7 32 0761 0770 0789 0808 


082 7 2 


58 


3892 


3911 


3 9 3i 


3 9 5i 


3 97 o 


3 99 o 


I 


58 


o846;o865o884'o9o3 0922 0941 i 


5 9 


4oio 


4029 


4049 


4069 


4o88 


4io8 


O 


69 


096009790998101710361064 




60" 50" 


40" | 30" 20" 


10" 


a 




60" i 50" 40" 30" 20" 10" ^ 




Co-sine of 43 


Degrees. 


S 




Co-sine of 42 Degrees. 


( \n 2" 3" 4" 


5" 6" 7" 8" 9" 


p. f ( 1" 2" 3" 4" 5" 6" 7" 8" 9" 


P. Part J 2468 


10 12 14 16 18 [ "*\ 2 4 6 8 10 12 14 15 17 



LOGARITHMIC TANGENTS. 



71 



1 


Tangent of 46 Degrees. 




.s 


Tangent of 47 Degrees. 




s 


0" 


10" 


20" 


30" 


40" 


50" 




m 


0" 


10"| 20" 


30" 


40" 


50" 




o 


*o.oi5i63 


52o5 


524 7 


5289 


533i 


53 7 3 


5 9 





io.o3o344 


o386 


042 9 


0471 


o5i3 


o555 


5 9 


i 


54i6 


5458 


55oo 


5542 


5584 


5626 


58 


i 


oS 97 


o64o 


0682 


O 7 2<4 


o 7 66 


0808 


58 


2 


5668 


571 1 


5 7 53 


5 79 5 


583 7 


58 79 


5 7 


2 


o85i 


o8 9 3 


0935 


977 


IO20 


1062 


5 7 


3 


5921 


5 9 63 


6006 


6o48 


6o 9 o 


6i3 2 


56 


3 


no4 


n46 


1188 


I23l 


I2 7 3 


i3i5 


56 


4 


6174 


6216 


6 2 58 


63oi 


6343 


6385 


55 


4 


i35 7 


i4oo 


1 442 


i484 


i526 


1 568 


55 


5 


6427 


646 9 


65n 


6553 


65 9 6 


6638 


54 


5 


1611 


i653 


i6 9 5 


1737 


1780 


1822 


54 


6 


6680 


6722 


6764 


6806 


6848 


68 9 i 


53 


6 


1864 


I 9 o6 


1948 


i 99 i 


2o33 


2075 


53 


7 


6933 


6 97 5 


7017 


7 o5' 9 


7101 


7i43 


52 


7 


2117 


2160 


2202 


2244 


2286 


2328 


52 


8 


7186 


7228 


7270 


7 3l2 


7354 


7 3 9 6 


5i 


8 


2371 


24l3 


2455 


2497 


254o 


2582 


5i 


9 


. 7438 


748 1 


7 523 


7 565 


7607 


7 64 9 


5o 


9 


2624 


2666 


2709 


2751 


2 79 3 


2835 


5o 


10 


10.017691 


7733 


7776 


7 8i8 


7860 


7 9 02 


4 9 


10 


10.032877 


2 9 2O 


2962 


3oo4 


3o46 


3o8 9 


4 9 


ii 


7944 


7986 


8028 


8071 


8ii3 


8i55 


48 


ii 


3i3i 


3i 7 3 


3 2 i5 


3258 


33oo 


3342 


48 


12 


8197 


8 2 3 9 


8281 


83 2 3 


8366 


84o8 


47 


12 


3384 


3426 


346 9 


35n 


3553 


35 9 5 


47 


i3 


845o 


8492 


8534 


85 7 6 


8618 


8661 


46 


i3 


3638 


368o 


3722 


3764 


38o 7 


384 9 


46 


i4 


8 7 o3 


8 7 45 


8787 


8829 


8871 


8 9 i4 


45 


i4 


38 9 i 


3 9 33 


3 97 6 


4oi8 


4o6o 


4lO2 


45 


i5 


8 9 56 


8998 


9040 


9082 


9 I24 


9 i66 


44 


:5 


4i45 


4i8 7 


4229 


4271 


43i3 


4356 


44 


16 


9209 


9 a5i 


9293 


9335 


9 3 7:7 


9 4i 9 


43 


16 


43 9 8 


444o 


4482 


45 2 5 


456 7 


46o 9 


43 


*7 


9462 


9 5o4 


9 546 


9 588 


9 63o 


9672 


42 


17 


465 1 


46 9 4 


4736 


4778 


4820 


4863 


42 


18 


97 i4 


975 7 


9799 


9841 


9 883 


9925 


4i 


18 


4 9 o5 


4 9 4 7 


4989 


5o32 


5074 


5u6 


4i 


J 9 


9967 


. . 10 


. .62 


94 


.136 


.178 


4o 


X 9 


5i58 


52OI 


5243 


5 2 85 


5327 


5370 


4o 


20 


IO.O2O22O 


0262 


o3o5 


o34 7 


o38 9 


o43 1 


3 9 


20 


io.o354i2 


5454 


5496 


553 9 


558i 


5623 


3 9 


21 


0473 


o5i5 


o558 


0600 


0642 


o684 


38 


21 


5665 


5 7 o8 


5750 


5 79 2 


5834 


58 77 


38 


22 


0726 


0768 


0810 


o853 


o8 9 5 


o 9 3 7 


37 


22 


5 9 i 9 


5 9 6i 


6oo3 


6o46 


6088 


6i3o 


37 


23 


0979 


1021 


io63 


1106 


1148 


1190 


36 


23 


6172 


62*6 


6257 


62 99 


634i 


6384 


36 


24 


1232 


1274 


i3i6 


i35 9 


i4oi 


1 443 


35 


24 


6426 


6468 


65ii 


6553 


65 9 5 


6637 


35 


25 


i485 


1527 


i56 9 


1612 


i654 


1696 


34 


25 


6680 


6722 


6 7 64 


6806 


684 9 


68 9 i 


34 


26 


i 7 38 


1780 


1822 


i865 


I 9 7 


1949 


33 


26 


6 9 33 


6 97 5 


7018 


7060 


7102 


7i44 


33 


27 


1991 


2o33 


2075 


2118 


2160 


2202 


32 


27 


1 7187 


722 9 


7271 


73i4 


7356 


7 3 9 8 


32 


28 


2244 


2286 


23 2 8 


23 7 o 


24i3 


2455 


3i 


28 


744o 


7483 


7525 


7 56 7 


76o 9 


7 652 


3i 


29 


2497 


2 53 9 


2 58i 


2623 


2666 


2 7 o8 


3o 


29 


76 9 4 


7736 


7778 


7821 


7863 


79 o5 


36 


3o 


10.022750 


2792 


2 834 


2877 


2 9 I 9 


2961 


2 9 


3o 


io.o37 9 48 


799 


8o32 


8074 


8117 


8i5 9 


29 


3i 


3oo3 


3o45 


3o8 7 


3i3o 


3l 7 2 


3214 


28 


3i 


8201 


8243 


8286 


8328 


83 7 o 


84i3 


28 


32 


3256 


32 9 8 


334o 


3383 


3425 


3467 


2 7 


32 


8455 


8497 


853 9 


858 2 


8624 


8666 


27 


33 


35o 9 


355i 


35 9 3 


3636 


36 7 8 


3720 


20 


33 


8708 


8 7 5i 


8 79 3 


8835 


8878 


8 9 2O 


26 


34 


3762 


38o4 


3846 


3889 


3 9 3i 


3973 


25 


34 


8 9 62 


9 oo4 


9 o4? 


9 o8 9 


9 i3i 


9 i 7 4 


25 


35 


4oi5 


4o5 7 


4o 99 


4142 


4i84 


4226 


24 


35 


9216 


9 258 


9 3oo 


9 343 


9 385 


9 42 7 


24 


36 


4268 


43io 


4353 


43 9 5 


443 7 


4479 


23 


36 


9470 


9 5l2 


9 554 


9 5 9 6 


9 63 9 


9 68i 


23 


3? 


452i 


4563 


46o6 


4648 


46 9 o 


4732 


22 


37 


9723 


9766 


9 8o8 


9 85o 


9 8 9 2 


99 35 


22 


38 


4774 


48i 7 


485 9 


4901 


4 9 43 


4985 


21 


38 


9977 


. .19 


..62 


. 104 


.i46 


.188 


21 


3 9 


5027 


6070 


5lI2 


5i54 


5i 9 6 


5 2 38 


20 


3 9 


io.o4o23i 


0273 


o3i5 


o358 


o4oo 


0442 


2O 


4o 


10.025280 


53 2 3 


5365 


5407 


544 9 


5491 


I 9 


4o 


io.o4o484 


0527 


o56 9 


06 1 1 


o654 


o6 9 6 


I 9 


4i 


5534 


55 7 6 


56i8 


566o 


5 7 02 


5745 


18 


4i 


o 7 38 


0781 


0823 


o865 


o 9 o 7 


o 9 5o 


18 


42 


5 7 8 7 


5829 


5871 


5 9 i3 


5 9 55 


5 99 8 


7 


42 


0992 


io34 


I0 77 


in 9 


1161 


1204 


r 7 


43 


6o4o 


6082 


6124 


6166 


6209 


625i 


1 6 


43 


1246 


1288 


i33o 


i3 7 3 


i4i5 


i45 7 


16 


44 


6293 


6335 


63 7 7 


6419 


6462 


65o4 


i5 


44 


i5oo 


1 542 


1 584 


162-7 


i66 9 


1711 


i5 


45 


6546 


6588 


663o 


66 7 3 


6 7 i5 


6757 


i4 


45 


1753 


1796 


i833 


1880 


I 9 23 


i 9 65 


i4 


46 


6799 


684i 


6884 


6926 


6968 


7010 


i3 


46 


2007 


2o5o 


2092 


2134 


2177 


22I 9 


i3 


4? 


7062 


7 o 9 5 


7 i3 7 


7179 


7 22I 


7263 


12 


4 7 


2261 


2 3o3 


2346 


2388 


243o 


2473 


12 


48 


7 3o5 


7348 


7 3 9 o 


7432 


7 4 7 4 


75i6 


I I 


48 


25i5 


2557 


2600 


2642 


2684 


2727 


II 


49 


7 55 9 


7601 


7 643 


7685 


7727 


777 


10 


49 


2769 


2811 


2854 


28 9 6 


2 9 38 


2 9 8o 


10 


So 


10.027812 


7854 


7896 


7938 


7981 


8023 





5o 


io.o43o23 


3o65 


3io 7 


3i5o 


3i 9 2 


3234 


9 


5 1 


8o65 


8107 


8i49 


8192 


8' 2 34 


8276 


8 


5i 


32 77 


33i 9 


336i 


34o4 


3446 


3488 


8 


52 


83i8 


836o 


84o3 


8445 


848 7 


852 9 


7 


52 


353i 


35 7 3 


36i5 


3658 


3700 


3 7 42 


7 


S3 


8571 


86i4 


8656 


8698 


8 7 4o 


8782 


6 


53 


3 7 85 


3827 


386 9 


3 9 I2 


3 9 54 


3 99 6 


6 


54 


8825 


8867 


8909 


8 9 5i 


8 99 3 


9 o36 


5 


54 


4o3 9 


4o8i 


4123 


4i65 


4208 


425o 


5 


55 


9078 


9120 


9162 


9204 


9247 


9 28 9 


4 


55 


4292 


4335 


43 77 


44i 9 


4462 


45o4 


4 


56 


9 33i 


9 3 7 3 


94i6 


9 458 


gSoo 


9 542 


3 


56 


4546 


458 9 


463i 


46 7 3 


4716 


4758 


3 


5 7 


9 584 


9627 


9669 


97" 


97 53 


979 5 


2 


5 7 


48oo 


4843 


4885 


4 9 2 7 


4 9 7o 


5oi2 


2 


58 


9 838 


9880 


9922 


9964 


...6 


..49 


I 


58 


5o54 


5o 9 7 


5i3 9 


5i8i 


5224 


5266 


I 


5 9 


io.o3oo 9 i 


oi33 


0175 


02 I 7 


0260 


0302 





5 9 


53o 9 


535i 


53 9 3 


5436 


5478 


552o 


O 




60" 


50" 


40" 


30" 


20" 


10" 


jj 




60" 


50" 


40" 


30" 


20" 


10" 


a 




Co-tangent of 43 Degrees. 


s 




Co-tangent of 42 Degrees. 


i 


p p C 1" 2" 3" 4" 5" 6" 7" 8" 9" 


.( 1" 2" 3" 4" 5" 6" 7" S" 9" 


(4 8 13 17 21 25 30 34 38 

~ i 


lrl \ 4 8 13 17 21 25 30 34 38 



72 



LOGARITHMIC SINES. 



.9 


Sine of 48 Degrees. 




d 


Sine of 49 Degrees. 




s 


0" 10" 


20" | 30" ; 40" 


50" 




9 


0-' 10" 


20" 30" | 40" 


50" 







9.8 7 io 7 3|io92 


IIII Il3o Il4 9 


1168 


59 


o 


9 . 877780 77 9 8 


-7816 


7835 7853 


78 7 I 


39 




n8 7 


1206 


1225 1244 1263 


1282 


58 


I 


7 8 9 o 7 9 ofi 


7926 


7945 79 63 


79 8i 


58 


2 


i3oi 


1320 


i33 9 i358 i3 77 


i3 9 5 


5 7 


2 


7 999 8018 


8o36 


8o54:8o 7 2 


8o 9 i 


57 


[ 


i4i4 


i433 


i452 i4 7 i i4 9 o 


i5o 9 


56 


'. 


8109 8127 


8i46 


81648182 


8200 


56 


L 


i5 2 8 
i64i 


i54 7 
1660 


i566 i585 1604 
i6 79 i6 9 8 1-71-7 


162255 

i 7 3654 


L 
t 


8219 
83 2 8 


823 7 |8 2 55 
8346 8365 


82 7 3J82 9 2 

838384oi 


83io 
84i 9 


55 
54 


6 


i 7 55 


i 77 4 


i 79 3 i8n!i83o 


i84 9 53 


6 


8438 


8456 


84 7 4 


8492851 1 


85 29 


53 


7 


1868 


i88 7 


I 9 o6 1925 1944 


I 9 62 


52 


7 


854 7 


8565 


8583 


860218620 


8638 


52 


8 


1981 


2000 2019 2o38 2o5 7 


20-76 


5i 


8 


8656 


86 7 5 


86 9 3 


8 7 n 


8 7 2 9 


8 7 4 7 


5i 


9 


2095 


2Il3 


2 I 32 2l5l 2I 7 


2i8 9 


5o 


9 


8 7 66 


8 7 84 


8802 


8820 


8838 


885 7 


5o 


10 


9.8 7 22o8 


2226 


2245 22642283 


23O2 4 9 


10 


9.8 7 88 7 5 


88 9 3 


8911 


8929 


8 9 48 


8966 


4 9 


ii 


2321 


2 34o 


2358 2377 2396 


24i548 


ii 


8 9 84 


9002 9020 


9 o3 9 


9 o5 7 


9 o 7 5 


48 


12 


2434 


2452 


2471 2490 2509 


2528 


47 


12 


9093 


9111 9129 


9148 


9166 


9184 


47 


- <: 


2 54 7 


2565 2584 26032622 


2 64i 


46 


i2 


9202 


9220 


9238 


925-7 


92 7 5 


9293 


46 


i4 


2 65 9 


26-78 


2697 2716 2 7 35 


2 7 53 


45 


i4 


93n 


9 3 29 


9 34 7 


9365 


9 384 


9402 


45 


i5 
16 


2 77 2 

2885 


2 7 gi 2810 2829 
2904 2923 2941 


2 84 7 
2 9 6o 


2866 
2979 


44 
43 


i5 
16 


9420 
9 52 9 


9438 

9 54 7 


9 456 
9 565 


94 7 4 
9 583 


9^)2 

9601 


9 5n 

9619 


44 
43 


17 


2998 


3oi63o353o54 


3o 7 3 


3o 9 i 


42 


i 7 


9 63 7 


9 656 


9 6 7 4 


96 9 2J 97 io 


9 7 28 


42 


18 


3no 


3i2 9 3i483i66 


3i85 


3204 


4i 


18 


9746 


9764 


97 8 2 


9800 9819 


9 83 7 


4i 


19 


3223 


324l 


3260 32-79 


32 9 8 


33i6 


4o 


'9 


9855 


9 8 7 3 


9 8 9 i 


9909 


9927 


99 45 


4o 


20 


9.8 7 3335 


335433 7 333 9 i 


34io 


342 9 


39 


20 


9.879963 


99 8i 




..18 


..36 


..54 


3 9 


21 


3448 


3466 


3485 35o43522 


354i 


38 


21 


9.880072 


oo 9 o 


0108 


0126 


0144 


0162 


38 


22 


356o 


35 79 


35 97 36i63635 


3653 


37 


22 


0180 


oi 9 8 


0216 


0234 


02 53 


02 7 I 


37 


23 


36 7 2 


36 9 i 


3 7 io 3 7 28 


3747 


3 7 66 


36 


23 


0289 


o3o 7 


o325 


o343 


o36i 


o3 79 


36 


24 


3 7 84 


38o3 


3822 384o 


385 9 


38 7 8 


35 


24 


o3 97 


o4i5 


o433 


o45i 


o46 9 


o48 7 


35 


25 


3896 


3 9 i5 


3 9 34 3 9 53 


3 97 i 


3 99 o 


34 


25 


o5o5 


o5 2 3 


o54i 


o55 9 


o5 77 


o5 9 5 


34 


26 
2 7 


4009 

4l2I 


402-7 4o46 4o65 
4i3 9 4i584i 77 


4o83 
4i 9 5 


4lO2 

42i4 


3S 

32 


26 
2 7 


o6i3 
0722 


o63i 
o 7 4o 


o64 9 
o 7 58 


o66 7 
o 77 6 


0686 
o 79 4 


o 7 o4 

0812 


33 

32 


28 


4232 


425i 42-704288 


43o 7 


4326 


3i 


28 


o83o 


o848 


0866 


o884 


O 9 O2 


O 9 20 


3i 


29 


4344 


4363 4382 44oo 


44i 9 


4438 


3o 


2 9 


0938 


o 9 56 


o 97 4 


0992 


IOIO 


1028 


3o 


3o 
3i 


9 .8 7 4456 
4568 


44 7 544 9 345i2 
4586 46o54624 


453i 
4642 


454 9 
466i 


2 9 

28 


3o 
3i 


9.881046 
n53 


io63 
1171 


1081 
u8 9 


1099 

I20 7 


III 7 
1225 


n35 
1243 


28 


32 

33 


468o 
4791 


46 9 84 7 i 7 
48104828 


4 7 35 
484 7 


47544773 
48664884 


27 
26 


32 

33 


1261 
1 369 


I2 79 

i38 7 


I2 97 

i4o5 


i3i5 

1423 


i333 
i44i 


i35i 
i45 9 


2 7 
26 


34 
35 


4903 
5oi4 


4 9 2i 4 9 4o 
5o33 5o5i 


4 9 58 
5o 7 o 


4977499 6 
5o885io 7 


25 
24 


34 
35 


i477 
1 584 


i4 9 5 
1602 


l5l2 

1620 


i53o 
i638 


1 548 
i656 


1 566 
i6 7 4 


25 
24 


36 


5i 2 6 


5i445i63 


5i8i 


520052I&23 


36 


1692 


I 7 IO 


1-728 


i 7 46 


i 7 63 


1-781 


23 


37 


523 7 


5255 


52 7 4 


52 9 3 


53n 


533022 


37 


1799 


181-7 


i835 


i853 


18-71 


i88 9 


22 


38 


5348 


536 7 5385 


54o4 


5422544i 


21 


38 


1907 


1925 


I 9 42 


1960 


1978 


I 99 6 


21 


39 


545 9 


54 7 8 54 9 6 


55i5 


55345552 


2O 


39 


1014 


2032 


2o5o 


2068 


2086 


2103 


2O 


4o 


9 .8 7 55 7 i 


558 9 56o8 


56 2 6 


5645|5663 


I 9 


4o 


9.882121" 


2i3 9 


2l5 7 


2I 7 5 


2I 9 3 


2211 


J 9 


4i 


5682 


5 7 oo 


5 7 i 9 


5 7 3 7 


5 7 565 77 4 


18 


4i 


2229 


2246 2264 


2282 


2300 


23i8 


IS 


42 


5 79 3 


58n 583o 


5848 


586 7 5885 


l l 


42 


2336 


2354 23 7 i 


2389 


240 7 


2425 


I 7 


43 


5 9 o4 


5 9 22 5 9 4i 


5 9 5 9 


5 97 8 5 99 6 


16 


43 


2443 


2461 24 79 


2496 


25i4 


2532 


16 


44 


6oi4 


6o33 6o5i 


6o 7 o 


6088610-7 


i5 


44 


255o 


2568 2586 


26o3 


2621 


263 9 


i5 


45 


6i 2 5 


61446162 


6181 


6199 6218 


i4 


45 


2657 


26 7 5 


26 9 2 


2 7 IO 


2-728 


2 7 46 


i4 


46 


6236 


6 2 55 62 7 3 


62 9 I 


63io6328 


i3 


46 


2764 


2 7 82 


2 799 


281-7 


2835 


2853 


i3 


47 


634 7 


6365 6384 


6402 


6421 643 9 


12 


47 


2871 


2888 


2 9 o6 


2924 


2 9 42 


2 9 6o 


12 


48 


645 7 


64 7 6 64 9 4 


65i3 


653i 655o 


II 


48 


2977 


2 99 5 


3oi3 


3o3i 


3o4 9 


3o66 


II 


49 


6568 


6586 66o5 


6623 


66426660 


10 


49 


3o84 


3lO2 


3l20 


3i3 7 


3i55 


3i 7 3 


10 


5o 


9 .8 7 66 7 8 


66 97 6 7 i5 


6 7 34 


6 7 52 6 77 o 


9 


5o 


9.883191 


3209 


3226 


3244 


3262 


3 2 8o 


9 


5i 


6 7 8 9 


680-76826 


6844 


68626881 


8 


5i 


32 97 


33i5 


3333 


335i 


3368 


3386 


8 


52 


6899 


6 9 i8 6 9 36 


6 9 54 


69-73 6991 


7 


52 


34o4 


3422 


343 9 


345 7 


34 7 5 


34 9 3 


7 


53 


7 OIO 


-7028 7 o46 


7 o65 


7 o83 -7101 


6 


53 


35io 


35 2 8 


3546 


3564 


358i 35 99 


6 


54 


7120 


7 i38 7 i5 7 


7 i 7 5 


7 I 9 3 7 2I2 


5 


54 


36i 7 


3635 


365 2 


36 7 o 


3688 3 7 o5 


5 


55 


7 23o 


7248-726-7 


7286 


7 3o3 7 322 


4 


55 


3723 


3 7 4i 


3 7 5 9 I 3 77 6 3794 38i2 


4 


56 
57 


7 34o 
7 45o 


7 358 7 3 77 
7 468 7 48 7 


7 3 9 5 
7 5o5 


7 4i3 7 432 


3 

2 


56 

5 7 


3829 
3 9 36 


384 7 3865 3883 3 9 oo 3 9 i8 
3953 39-71 3989^0064024 


3 

2 


58 


7 56o 


7 5 7 8 7 5 97 


7 6i5 


7 633 7 652 


I 


58 


4o42 


4o6o 4077 4095 4n3 4i3o 


I 


59 


7 6 7 o 7 688 77 o 777 25 


77 43 77 62 





59 


4i48 


4i66 4i83 4201*4219 4236 







60" 


50" j 


40" 30" 


20" 10" 


a 




60" 


50" 40" 30" 20" 10" I 




Co-sine of 41 Degrees. 


Jl 

is 




Co-sine of 40 Degrees. s 


PPartJ 1 " 2 " 3// 


4" 5" 6" 7" 8" 9" 


.< 1" 2" 3" 4" 5" 6" 7" 8" 9" 


"1 a 4 6 


7 9 11 13 15 17 


irl $ 24 5 7 9 11 13 14 16 



LOGARITHMIC TANGENTS. 



73 



1 


Tangent of 48 Degrees. 




.3 


Tangent of 49 Degrees. 




2 


0" 


10" 20" 1 30" 40" 


50" 




al 


0" 


10' 


20" 


30" 


40" 


50" 






i 


io.o45563 
58i 7 


56o5564 7 56 9 o5 7 3 2 
585 9 5 9 oi 5 9 44J5 9 86 


5 77 4 
6028 


5 9 

58 


( 
i 


10.060837 
1092 


o8 79 
n35 


9 22 
1177 


o 9 65 

I22O 


IO0 7 
1262 


io5o 
i3o5 


5 9 

58 


2 


6071 


6n36i556i 9 8 


6240 


6282 


57 


9 


1 347 


i3 9 o 


1432 


i4 7 5 


i5i 7 


i56o 


57 


3 


63 2 5 


636 7( 64o 9 6452 


64 9 4 


653 7 


56 


Q 


1602 


1 645 


1688 


1730 


i 77 3 


i8i5 


56 


4 


65 79 


6621 6664 6 7 o6 


6 7 48 


6 79 i 


55 


4 


i858 


I 9 00 


1943 


i 9 85 


2028 


2070 


55 


5 


6833 


68 7 5i6 9 i8J6 9 6o] 7 oo2 




54 


c 


2Il3 


2i55 


2198 


224l 


2283 2326 


54 


6 


7087 


7 i3o 7172 


7214 7257 


7299 


53 


6 


2368 


2411 


2453 


24 9 6 


2538 2 58i 


53 


7 


7 34i 


7384^426 


7468 


7 5n 


7 553 


52 


7 


2623 


2666 


2709 


275l 


2 79 4 


2836 


52 


8 


7 5 9 5 


7638 7680 


7723 


77 65 


7 8o 7 


5i 


8 


2879 


2 9 2I 


2964 


3oo6 


3o4 9 


3o 9 2 


5i 


9 


785oJ78 9 2J7 9 34 


7977 


8019 


8062 


5o 


9 


3 1 34 


3i 77 


3219 


3262 


33o4 


334 7 


5o 


10 


io.o48io48i468i8 9 


82 3 1 


82 7 3 


83i6 


49 


10 


10.063389 


3432 


3475 


35i 7 


356o 


3bo2 


4y 


1 1 


8358 


84oo 


8443 


8485 


85 2 8 


85 7 o 


48 


ii 


3645 


368 7 


3 7 3o 


3 77 3 


38i5 


3858 


48 


12 


8612 


8655 


86 97 


8 7 3 9 


8 7 8 2 


8824 


4 7 


12 


3 9 oo 


3 9 43 


3 9 85 


4028 


4o 7 o 


4n3 


47 


i3 


8867 


8 9 o 9 


8 9 5i 


8 99 4 


9 o36 


9 7 9 46 


i3 


4i56 


4i 9 8 


424i 


4283 


4326 


4368 


46 


i4 


9 I2I 


9 i63 


9 206 


9248 


9 2 9 o 


9333 


45 


i4 


44n 


4454 


44 9 6 


453 9 


458i 


4624 


45 


i5 


9 3 7 5 


9 4i8 


9 46o 


9 5o2 


9 545 


9 58 7 


44 


i5 


466 7 


470 9 


4?52 


4794 


483 7 


48 79 


44 


16 


9 62 9 


0.672 


97 i4 


97^-7 


9799 


9841 


43 


16 


4 9 22 


4 9 65 


5007 


5o5o 


5o 9 2 


5i35 


43 


17 


9 884 


99 26 


99 6 9 


..ii 


..53 


..96 


42 


17 


5i 7 8 


522O 


5263 


53o5 


5348 


53 9 o 


42 


18 


io.o5oi38 


0181 


0223 


0265 


o3o8 


o35o 


4i 


18 


5433 


5476 


55i8 


556i 


56o3 


5646 


4i 


19 


o3 9 2 


o435 


o477 


0520 


o562 


o6o4 


4o 


19 


568 9 


5 7 3i 


5 77 4 


58i6 


585 9 


5 9 O2 


4o 


20 


io.o5o64 7 


o68 9 


0732 


0774 


0816 


o85 9 


3 9 


20 


io.o65 9 44 


5 9 8 7 


6o2 9 


6o 7 2 


6n5 


6i5 7 


3 9 


21 


o 9 oi 


o 9 44 


o 9 86 


1028 


IO 7 I 


in3 


38 


21 


6200 


6242 


6285 


6328 


6370 


64i3 


38 


22 


n56 


1198 


1240 


1283 


i325 


i368 


37 


22 


6455 


64 9 8 


654i 


6583 


6626 


6668 


3 7 


23 


i4io 


1452 


i4 9 5 


i537 


i58o 


1622 


36 


23 


6711 


6754 


6 79 6 


683 9 


6881 


6 9 24 


36 


24 


i665 


1707 


i 7 4 9 


1792 


i834 


i8 77 


35 


24 


6967 


7oo 9 


7 o52 


7 o 9 4 


7 i3 7 


7180 


35 


25 


I 9 i 9 


i 9 6i 


2004 


2046 


2o8 9 


2l3l 


34 


25 


7222 


7 265 


73o8 


7 35o 


7 3 9 3 


7435 


34 


26 


2173 


2216 


2258 


2301 


2343 


2386 


33 


26 


7 4 7 8 


7521 


7 563 


7 6o6 


7649 


7691 


33 


2 7 


O./IOQ 


2470 


25i3 


2 555 


2 5 9 8 


2640 


32 


27 


7734 


7776 


7819 


7 862 


7904 


7947 


32 


28 


2682 


2725 


2767 


2810 


2852 


2895 


3i 


28 


799 


8o32 


8o 7 5 


8117 


8160 


8203 


3i 


2 9 


2 9 3 7 


2 979 


3O22 


3o64 


3io 7 


3i49 


3o 


29 


8245 


8288 


833i 


83 7 3 


84i6 


8458 


3o 


3o 


io.c53i 9 2 


3 2 34 


32 7 6 


33i 9 


336i 


34o4 


2 9 


3o 


io.o685oi 


8544 


8586 


862 9 


86 7 2 


8 7 i4 


2 9 


3i 


3446 


348 9 


353i 


35 7 3 


36i6 


3658 


28 


3 1 


8 7 5 7 


8800 


8842 


8885 


8 9 2 7 


8 97 o 


28 


32 


3701 


3 7 43 


3 7 86 


38 2 8 


38 7 o 


3gi3 


27 


32 


9013 


9 o55 


9 o 9 8 


9 i4i 


9183 


9226 


27 


33 


3 9 55 


3 99 8 


4o4o 


4o83 


4i25 


4i68 


26 


33 


9269 


9 3n 


9 354 


9 3 97 


943 9 


948? 


26 


34 


4210 


4252 


42 9 5 


433 7 


438o 


4422 


25 


34 


9 5 2 5 


9 56 7 


9 6io 


9 65 2 


9696 


9738 


25 


35 


4465 


45o 7 


454 9 


45 9 2 


4634 


46 77 


24 


35 


97 8o 


9 8 2 3 


9 866 


99 o8 


99 5i 


9994 


24 


36 


47i 9 


4 7 6 2 


48o4 


4847 


488 9 


493i 


23 


36 


io.o 7 oo36 


oo 79 


OI22 


oi64 


02O 7 


O25o 


23 


37 


4 9 74 


5oi6 


5o5 9 


5ioi 


5i44 


5i86 


22 


37 


02 9 2 


o335 


o3 7 8 


O420 


o463 


o5o6 


22 


38 


522 9 


52 7 I 


53i4 


5356 


53 9 8 


544i 


21 


38 


o548 


o5 9 i 


o634 


o6 7 6 


o 7 i 9 


0762 


21 


3 9 


5483 


5526 


5568 


56n 


5653 


5696 


20 


3 9 


o8o4 


0847 


o8 9 o 


9 32 


97 5 


1018 


20 


4o 


io.o55738 


5 7 8i 


58 2 3 


5865 


5 9 o8 


SgSo 


1 9 


4o 


io.o 7 io6o 


no3 


n46 


1188 


I23l 


I2 7 4 


I 9 


4i 


5 99 3 


6o35 


6078 


6120 


6i63 


62o5 


18 


4i 


i3i6 


i35 9 


I4O2 


i445 


i48 7 


i53o 


18 


42 


6248 


62 9 o 


6333 


63 7 5 


64i 7 


646o 


!7 


42 


i5 7 3 


i6i5 


i658 


I 7 OI 


1743 


i 7 86 


17 


43 


65o2 


6545 


658 7 


663o 


66-72 


6 7 i5 


16 


43 


l82 9 


1871 


i 9 i4 


i 9 5 7 


i 999 


2O42 


16 


44 


6 7 5 7 


6800 


6842 


6885 


6 9 2 7 


6 97 


i5 


44 


2o85 


2128 


2170 


22l3 


2256 


2298 


i5 


45 


7 OI2 


7 o55 


797 


7 i3 9 


7182 




i4 


45 


234l 


2384 


2426 


246 9 


25l2 


2554 


i4 


46 


7 26 7 


7 3o 9 


7 352 


7 3 9 4 


7 43 7 


7479 


i3 


46 


25 97 


2640 


2683 


2 7 25 


2 7 68 


2811 


i3 


47 


' - 7 522 


7564 


7 6o 7 




7 6 9 2 77 34 


12 


4 7 


2853 


28 9 6 


2 9 3 9 


2 9 8l 


3o24 


3o6 7 


12 


48 


7777 


7819 


7 86 2 


794 


79 4 7 | 79 8 9 


II 


48 


3no 


3i52 


3i 9 5 


3238 


3280 


3323 


II 


49 


8o32 


8o 7 4 


8n 7 


8i5 9 


8202(8244 


IO 


4 9 


3366 


34o 9 


345 1 


34 9 4 


3537 


35 79 


IO 


5o 


io.o5828 7 


832 9 


83 7 2 


84x4 


84568499 


9 


5o 


IO.O 7 3622 


3665 


3 7 o8 


3 7 5o 


370.3 3836 


9 


5i 


854i 


8584 


8626 


866 9 


8 7 n 8 7 54 


8 


5i 


38 7 8 


3 9 2I 


3 9 64 


4oo 7 


4o4 9 4o 9 2 


8 


52 


8 79 6 


883 9 


8881 


8 9 24 


8 9 66 9 oo 9 


7 


52 


4i35 


4178 


4220 


4263 


43o6 4348 


7 


53 
54 


9 o5i 
9 3o6 


9 o 9 4 
9 34 9 


9 i36 
9 3 9 i 


9 i 79 
9 434 


9 22I 9264 

9476 9519 


6 
5 


53 

54 


43 9 i 

4648 


4434 
46 9 o 


4477 
4733 


45i 9 
477 6 


4562 46o5 
48i 9 486i 


6 

5 


55 


9 56i 


9 6o4 


9 646 


9 68 9 


9732 


9774 


4 


55 


4 9 o4 


4 9 4 7 


4 9 8 9 


5o32 


5o 7 5j5nd 


4< 


56 


9 8i 7 


9 85 9 


99 02 


99 44 


9987 


..29 


3 


56 


5i6o 


52o3 


5246 


528 9 


533ii53 7 4 


3 


5 7 


io.o6oo 7 2 


on4 


oi5 7 


oi 99 


0242 


0284 


2 


5 7 


54i7 


546o 


55o2 


5545 


55885631 


2 


58 


o32 7 


o36 9 


O4l2 


o454 


0497 


o539 


I 


58 


56 7 3 


5716 


5 7 5 9 


58o2 


5844 588 7 


I 


5 9 


o582 


0624 


o66 7 


o 7 o 9 


0752 


0794 





5 9 


5 9 3o 


5 97 3 


6oi5 


6o58 


6ioi|6i44 


O 




60" 


50" 


40" 


30" 


20" 


10" 


d 




60" 


50" 


40" 


30" 


W | 10" 







Co-tangent of 41 Degrees. 


3 




Co-tangent of 40 Degrees. 


5 


P Prt5 l " 1" 3 " 4 " 5 " 6 " 7 " S " 9 " 

I 4 8 13 17 21 25 30 34 38 


v F .( 1" 2" 3" 4" 5" 6" 7" 8" 9" 
irt } 4 9 13 17 2 X *'o 30 34 38 



LOGARITHMIC SINES. 



3 


Sine of 50 Degrees. 




-a 


Sine of 51 Degrees. 




4 


* ~~ [ 10" I 20" 


I 30" i 40" 


50" 




51 


0" 


10" 


20" 


30" 


40" 


50" 




O 


9.S84254!4272|428 9 


43074325 


4342 


5 9 


o 


9 .8 9 o5o3 


0620 


o53 7 


o554 


0671 


0688 


5 9 


I 


436oj4378|43 9 5 


44i3443i 


4448 


58 


I 


0606 


0622 


o63 9 


0666 


o6 7 3 


o6 9 o 


58 


2 


4466 


44S3|45oi 


45i 9 '4536 


4554 


5? 


2 


0707 


0724 


0741 


0768 


o 77 5 


79 2 


57 


"i 


4572 


458 9 4007 4626 4642 


466o 


56 


2 


o8o 9 


0826 


o843 


0860 


o8 77 


o8 9 4 


56 


L 


4677 46 9 5 47i3 


473o ! 4748 


476666 


4 


o 9 n 


O 9 28 


o 9 45 


0962 


979 


o 99 6 


55 


6 


4783 
488 9 


48oi43i8 4836 4854 
4 9 o6 4 9 244 9 42|4 9 5 9 


48 7 i54 
4 9 77 53 


c 

6 


ioi3 

in5 


io3o 

Il32 


1047 
n4 9 


1064 
1166 


1081 
1 1 83 


1096 
1 200 


54 
53 


7 


4 99 4 


5oi2 5o3o 


5o4 7 !5o65 


6082 62 


7 


1217 


1234 


1261 


1268 


1286 


1302 


52 


8 


5ioo 


5u85i35 


5i53 


6170 


5i885i 


8 


i3i 9 


i336 


i353 


i3 7 o 


i38 7 


i4o4 


5i 


9 


5 2 o5 


6223 6241 6268 


52 7 6[52 9 3 


5o 


9 


1 4s i 


i438 


i455 


1472 


1489 


1606 


5o 


10 


9 .8853n 


532853465364 


5381 


5399 


4 9 


10 


9.8 9 i523 


1 54o 


i556 


1673 


1690 


1607 


49 


ii 


54i6 


5434545i 546 9 


5486 


55o4 


48 


ii 


1624 


1 64 1 


i658 


1676 


1692 


I 7 o 9 


48 


12 


5522 


553 9 555 7 55 7 4 


55 9 2 


56o 9 


47 


12 


1-726 


1743 


1760 


1777 


1794 


1810 


47 


t3 


6627 


5644 5662 


56 79 


56 97 


6714 


46 


i3 


l82 7 


1 844 


1861 


1878 


i8 9 5 


I 9 I2 


46 


i4 


6732 


5 7 4 9 5 7 6 7 


5 7 84 


6802 


6819 


45 


i4 


I 9 2 9 


i 9 46 


i 9 63 


1980 


i 99 6 


20l3 


45 


i5 


583 7 


5855 68726800 


5 9 o 7 


6926 


44 


i5 


2o3o 


2047 


2064 


2081 


2O 9 8 


2Il5 


44 


16 


5 9 42 


5 9 6o5 977 


5 99 5 


6012 6o3o 


43 


16 


2l32 


2l4 9 


2166 


2182 


2I 99 


2216 


43 


17 


6o4 7 


6o65 6082 


6o 99 


6ii 7 !6i34 


42 


I 7 


2233 


2260 


2267 


2284 


2300 


2317 


42 


18 


6i5 2 


6i6 9 6187 


6204 


62226239 


4i 


18 


2334 


2 35i 


2368 


2385 


24O2 


2419 


4i 


i 9 


6267 


6274 62 9 2 


63o 9 


632 7 


6344 


4o 


'9 


2435 


2462 


2 46 9 


2486 


2 5o3 


2620 


4o 


20 


9 . 886362 


637 9 63 9 664i4 


643 1 


644 9 


39 


20 


9 .8 9 2536 


2553 


2670 


2687 


2604 


2621 


39 


21 


6466 


6484 65oi 


65i 9 


6536 


6554 


38 


21 


2638 


2664 


2671 


2688 


2706 


2722 


38 


22 


65 7 i 


6588 6606 66 2 3 


664i 


6658 


37 


22 


2739 


2766 


2772 


2789 


2806 


2823 


37 


23 


6676 


66 9 3 6710 6728 


6 7 45 


6 7 63 


36 


23 


283 9 


2866 


2873 


2890 


2007 


2 9 24 


36 


24 
25 


6780 
6885 


6 79 868i5'6832 
6 9 o2 6 9 i 9 |6 9 37 


6860 
6 9 54 


6867 
6 9 72 


35 
34 


24 
25 


2 9 4o 
3o4i 


2 9 57 
3o58 


2 97 4 

3o 7 5 


2 99 I 

3o 9 2 


3oo8 
3io8 


3024 

3i25 


35 

34 


26 


6 9 8 9 


7006 7024 7041 


7o5 9 


7076 


33 


26 


3i42 


3i5 9 


3i 7 6 


3i 9 2 


320 9 


3226 


33 


27 
28 


79 3 
7198 


7111 7128 7146 
7216 7232)7250 


7 i63 
7267 


7180 
7286 


32 

3i 


27 

28 


3243 
3343 


3 2 5 9 
336o 


32 7 6 
33 7 7 


3 29 3 
33 9 4 


33io 
34io 


3327 
3427 


32 

3i 


29 


7 302 


73197337 


7354 


7 3 7 i 


7 38 9 


3o 


29 


3444 


346i 


3477 


34 9 4 


35ii 


3528 


3o 


3o 


9.88 7 4o6 


74^3 7 44i 


7458 




7 4 9 3 


2 9 


3o 


9 .8 9 3544 


356i 


35 7 8 


35 9 5 


36n 


3628 


2 9 


3i 


7 5io 


7628 7545 


7562 


7 58o 


7 5 97 


28 


3i 


3645 


3662 


3678 


36 9 5 


3712 


3728 


28 


32 


7614 


7632 764^7666 


76847701 


2 7 


32 


3 7 45 


3762 


3 779 


3 79 5 


38i2 


382 9 


2 7 


33 


77 i8 


77367753:7770 


77877806 


26 


33 


3846 


3862 




38 9 6 


3 9 I2 


3 9 2 9 


26 


34 


7822 


7 83 9 7 85 7 


7*74 


7 8 9 I i799 


25 


34 


3 9 46 


3 9 63 


3 979 


3 99 6 


4oi3 


402 9 


26 


35 


7 9 26 


79 43 7961 


7978 


7 99 5 8012 


24 


35 


4o46 


4o63 


4o7 9 


4o 9 6 


4n3 


4i3o 


24 


36 


8o3o 


8047 8o64 8082 


8o 99 8u6 


23 


36 


4i46 


4i63 


4i8o 


4i 9 6 


42i3 


423o 


23 


37 


8i34 


8i5i 8168 


8i85 


82038220 


22 


3 7 


4246 


4263 


4280 


42 9 6 


43i3 


433o 


22 


38 


8237 


82548272 


828 9 


83o6 8324 


21 


38 


4346 


4363 


438o 


43 9 6 


44i3 


443o 


21 


3o 


834i 


83588375 


83 9 3 


84108427 


2O 


3 9 


4446 


4463 


448o 


44 9 6 


45i3 


453o 


2O 


4o 


o. 888444 


8462 847 9 84 9 6 


85i3853i 


X 9 


4o 


9 . 8 9 4546 


4563 


458o 


45 9 6 


46i3 


462 9 


39 


4i 


8548 


8565 8582 


8600 


86178634 


18 


4i 


4646 


4663 


46 79 


46 9 6 


47i3 


472 9 


-8 


42 


865i 


866 9 8686|8 7 o3 


87208737 


17 


42 


4 7 46 


4763 


4779 


4796 


4812 


482 9 


17 


43 


8 7 55 


8772 878 9 8806 


8824 884i 


16 


43 


4846 


4862 


48 79 


48o6 


4 9 I2 


4 9 2 9 


16 


44 


8858 


887588 9 28 9 io 


8 9 27 8 9 44 


16 


44 


4 9 45 


4 9 62 


4979 


4 99 5 


5oi2 


6028 


16 


45 


8 9 6i 


8 9 788 99 6 9 oi3 


9 o3o 9 o47 


i4 


45 


5o45 


6062 


6078 


5o 9 5 


6111 


6128 


i4 


46 


9 o64 


9 o82 9 o 99 J 9 ii6 


9 i33 9 i5o 


i3 


46 


6146 


6161 


6178 


5i 9 4 


6211 


6227 


i3 


47 


9 i68 


9 i85 9 202; 9 2I 9 


9 236 9 253 


12 


47 


6244 


6261 


6277 


52 9 4 


53io 


532 7 


12 


48 


9271 


9 288 9 3o5| 9 322 


9 33 99 356 


II 


48 


5343 


536o 


53 77 


53 9 3 


54io 


5426 


II 


49 


9 3 7 4 


9 3 9 i 9 4o8 


9 425 9 442 9 45 9 


10 


49 


5443 


545 9 


5476 


54 9 3 


55o 9 


6626 


10 


5o 


9 .88 9 477 


9 4 9 4 9 5u 


0628 9 545 9662 


9 


5o 


9 .8 9 5542 


555 9 


55 7 5 


55 9 2 


56o8 


6626 


9 


5i 


9 5 79 


9 5 979 6i4 


963i 


9 648 9 665 


8 


61 


564i 


5658 


56 7 5 


56 9 i 


5708 


6724 


8 


52 

53 


9 682 
9785 


9 6 9997 i6 
9 8o2 9 8i 9 


973497619768 
983698639871 


6 


62 
53 


5 7 4i 
584o 


6767 
5856 


5 77 4 
6873 


6790 

6889 


6807 
5 9 o6 


58 2 3 

5 9 22 


6 


54 


9 888 


99 o5 99 22 


9939199669973 


5 


54 


5 9 3 9 


5 9 55 


6972 


5 9 88 


6oo5 


6O2I 


5 


55 


999 


. . .7 . .25 


..42 ..5 9 ..76 


4 


55 


6o.38 


6o54 6071 


6087 


6io4 


6l20 


4 


56 

5 7 


9 .8 9 oo 9 3 
oi 9 5 


01100127 

0212 O23o 


oi44|0i6i 0178 
0247 0264 0281 


3 

3 


56 

5 7 


6i3 7 
6236 


6i53 6170 
6262 626 9 


6186 
6286 


62o3 

63o2 


62I 9 

63i8 


3 

2 


58 


02 9 8 


o3i5o332 


o34 9 


o366o383 


I 


58 


6335635i 


6368 6384 


64oo 


64i7 


I 


5 9 


o4oo 


04170434 


o45i 


o468 o486 


O 


5 9 


6433 


645o 6466 


6483 


64 99 65:6 







60" 


50" i 40" 


30" 


20" 10" 


ES 




60" 


50" | 40" 


30" 


20" i 10" 


G 




Co-sine of 39 


Degrees. 


JB 

s 




Co-sine of 38 Degrees s 


( 111 O" J" A" 

P - Part { 2 3 5 7 


5" 6" 7" 8" 9" 
9 10 12 14 16 


C 1" 2 " 3" 4" 5" 6" 7" 8" 9" 
1 I 2 3 5 7 8 10 12 13 15 



LOGARITHMIC TANGENTS. 



75 



d 

fH 


Tangent of 50 Degrees. 




d 


Tangent of 51 Degrees. 




3 


0" 


10" 


20" 


30" 


40" 


50" 




'^ 


0" 


10" 


20" 1 30" | 40" 


50" 







10.076186 


6229 


6272 


63i5 


6358 


64oo 


5 9 J 


o 


10.091631 


1674 


1717 


I 7 6o 


i8o3 


1846 


5 9 


I 


6443 


6486 


6529 


65 7 i 


66i4 


665 7 


58 


i 


1889 


I 9 32 


I 97 5 


2018 


2061 


2IO4 


58 


2 


6700 


6742 


6785 


7 828 


68 7 i 


6913 


5 7 


2 


2147 


2191 


2234 


22 77 


2320 


2363 


5 7 


3 


6 9 56 


6999 


7042 


7 o85 


-712-7 


71-70 


56 


3 


2406 


244 9 


2492 


2535 


2 5 7 8 


2621 


56 


4 


7213 


7 256 


7298 


7 34i 


7 384 


742-7 


55 


4 


2664 


2707 


2 7 5o 


2 79 3 


2 83 7 


2880 


55 


5 


7470 


7512 


7 555 


7 5 9 8 


7 64i 


7684 


54 


5 


2923 


2 9 66 


3009 


3o52 


3o 9 5 


3i38 


54 


6 


77*5 


7769 


7812 


7 855 


7897 


794o 


53 


6 


3i8i 


3224 


326 7 


33io 


3354 


3397 


53 


7 


79 83 


8026 


8069 


8m 


8i54 


8197 


52 


7 


344o 


3483 


35 2 6 


356 9 


36i2 


3655 


52 


8 


8240 


8283 


8325 


8368 


84n 


8454 


5i 


8 


36 9 8 


3 7 4i 


3 7 84 


38 2 8 


38 7 i 


3 9 i4 


5i 


9 


8497 


853 9 


8582 


8625 


8668 


8711 


5o 


9 


3 9 5 7 


4ooo 


4o43 


4o86 


4i2 9 


4172 


5o 


10 


10.078753 


8796 


8839 


8882 


8 9 25 


8967 


4 9 


10 


i 0.0942 i 5 


425 9 


43o2 


4345 


4388 


443 1 


^9 


ii 


9010 


9 o53 


9 o 9 6 


9 i3 9 


9181 


9224 


48 


ii 


44 7 4 


45i 7 


456o 


46o3 


464 7 


4690 


i8 


12 


9267 


93io 


9 353 


9 3 9 6 


9 438 


948 1 


47 


12 


4733 


4776 


4819 


4862 


4 9 o5 


4948 


47 


i3 


9524 


9 56 7 


9610 


9 65 2 


9 6 9 5 


9738 


46 


i3 


4 99 2 


5o35 


5o 7 8 


5l2I 


5i64 


5207 


46 


i4 


9781 


9824 


9 86 7 


999 


9952 


9995 


45 


i4 


525o 


52 9 3 


533 7 


538o 


5423 


5466 


45 


i5 


io.o8oo38 


0081 


0124 


0166 


0209 


0252 


44 


i5 


55o 9 


555 2 


55 9 5 


5638 


568 2 


5725 


44 


16 


0295 


o338 


o38i 


o423 


o466 


oSog 




16 


5 7 68 


58n 


5854 


58 97 


5940 


5984 


43 


17 


o55 2 


o5 9 5 


o638 


0680 


0723 


0766 


42 


17 


6027 


6070 


6n3 


6i56 


6199 


6242 


[2 


18 


0809 


o85 2 


o8 9 5 


o 9 3 7 


0980 


1023 


4i 


18 


6286 


632 9 


63 7 2 


64i5 


6458 


65oi 


ii 


J 9 


1066 


1 109 


1162 


n 9 5 


I23 7 


1280 


4o 


1 9 


6544 


6588 


663i 


66 7 4 


671-7 


6760 


io 


20 


io.o8i323 


i366 


i4o 9 


i452 


i4 9 4 


i53 7 


3 9 


20 


io.o 9 68o3 


6847 


68 9 o 


6 9 33 


6976 


7019 


3 9 


21 


i58o 


1623 


1666 


1-709 


I 7 52 


1794 


38 


21 


7062 


7106 


7 i4 9 


-7192 


7 235 


7278 


38 


22 


i83 7 


1880 


I 9 23 


1966 


20O 9 


2052 


37 


22 


7321 


7365 


7 4o8 


7 45i 


7494 


7 53 7 


3 7 


23 


2094 


2l3 7 


2180 


2223 


2266 


2309 


36 


23 


7 58o 


7624 


7 66 7 


7710 


77 53 


7796 


36 


24 


2352 


2 3 9 5 


243 7 


2480 


2523 


2566 


35 


24 


7 84o 


7883 


7 926 


7969 


8012 


8o56 


35 


25 


2609 


2652 


2 6 9 5 


2 7 38 


2 7 8o 


2823 


34 


25 


8099 


8142 


8i85 


8228 


8271 


83i5 


34 


26 


2866 


2909 


2 9 52 


2996 


3o38 


3o8i 


33 


26 


8358 


84oi 


8444 


848 7 


853i 


85 7 4 


33 


27 


3i23 


3i66 


320 9 


3252 


32 9 5 


3338 


32 


27 


8617 


8660 


8 7 o3 


8 7 4 7 


8 79 o 


8833 


32 


28 


338i 


3424 


346 7 


3509 


3552 


35 9 5 


3i 


28 


8876 


8919 


8 9 63 


9006 


9049 


9092 


3i 


2 9 


3638 


368i 


3724 


3 7 6 7 


38io 


3853 


3o 


29 


9 i36 


9179 


9 222 


9265 


9 3o8 


9 352 


3o 


3o 


10.083896 


3 9 38 


3 9 8i 


4024 


4o6 7 


4no 


2 9 


So 


10.099395 


9 438 


9 48 1 


9524 


9 568 


9611 


2 9 


3i 


4i53 


4196 


423 9 


4282 


43 2 5 


436 7 


28 


3i 


9 654 


9 6 97 


97 4i 


9784 


9827 


9870 


28 


32 


44io 


4453 


4496 


453 9 


458 2 


4625 


27 


32 


99 i3 


99 5 7 




..43 


..86 


.i3o 


27 


33 


4668 


4 7 n 


4754 


4797 


483 9 


4882 


26 


33 


10. 100173 


0216 


0259 


o3o3 


o346 


o38 9 


26 


34 


4925 


4968 


Son 


5o54 


5o 97 


5i4o 


25 


34 


0432 


o4 7 6 


oSig 


o56 2 


o6o5 


0649 


25 


35 


5i83 


5226 


5269 


53i2 


5355 


53 97 


24 


35 


0692 


o 7 35 


o 77 8 


0822 


o865 


0908 


24 


36 


544o 


5483 


55 2 6 


556 9 


56i2 


5655 


23 


36 


o 9 5i 


o 99 5 


io38 


1081 


1124 


n 68 


23 


37 


5698 


5 7 4i 


5784 


582 7 


58 7 o 


5 9 i3 


22 


3? 


I2II 


1254 


I2 97 


i34i 


1 384 


1427 


22 


38 


5956 


5 999 


6o4i 


6o84 


612-7 


6170 


21 


38 


1470 


i5i4 


i55 7 


1600 


1 643 


1687 


21 


3 9 


62i3 


6256 


6299 


6342 


6385 


6428 


20 


3 9 


1730 


i 77 3 


1817 


1860 


igo3 


i 9 46 


2O 


4o 


10.086471 


65i4 


655 7 


6600 


6643 


6686 


I 9 


4o 


10. ioi 99 o 


2o33 


2076 


2119 


2i63 


2206 


J 9 


4i 


6729 


6 77 2 


68i5 


6857 


6900 


6 9 43 


18 


4i 


224 9 


22 9 3 


2336 




2422 


2466 


18 


42 


6986 


7 02 9 


-7072 


7 ii5 


7 i58 


7201 


17 


42 


25o 9 


2552 


25 9 6 


263 9 


2682 


2725 


17 


43 


7244 


7287 


7 33o 


7 3 7 3 


7 4i6 


7 45 9 


16 


43 


276 9 


2812 


2855 


28 99 


2942 


2 9 85 


16 


44 


7502 




7 588 


7 63i 


7 6 7 4 


7717 


i5 


44 


3o2 9 


3o 7 2 


3n5 


3i58 


3202 


3245 


i5 


45 


7760 


78o3 


7 846 


7 88 9 


79 32 


797 5 


i4 


45 


3288 


3332 


33 7 5 


34i8 


3462 


35o5 


i4 


46 


8018 


8o6l 


8 10^ 


8i4 7 


8i 9 o 


8232 


i3 


46 


3548 


35 9 2 


3635 


36 7 8 


3722 


3 7 65 


i3 


47 


8275 


83i8 


836i 


84o4 


8447 


84 9 o 


12 


47 


38o8 


385i 


38 9 5 


3 9 38 


3981 


4o 2 5 


12 


48 


8533 


85 7 6 


8619 


8662 


8 7 o5 


8 7 48 


II 


48 


4o68 


4n i 


4i55 


4i 9 8 


4241 


4285 


II 


49 


8791 


8834 


88 77 


8 9 20 


8 9 63 


9006 


10 


4 9 


4328 


4371 


44i5 


4458 


45oi 


4545 


10 


5o 


10.089049 


9092 


9 i35 


9 i 7 8 


9 22I 


9264 


9 


5o 


i o.i o4588 


463 1 


46 7 5 


4718 


4761 


48o5 


9' 


5i 


9307 


9 35o 


9 3 9 3 


9 436 


94?9 


9 522 


8 


5i 


4848 


48 9 i 


4935 


4 97 8 


5O2I 


5o65 


'8 


52 


9 565 


9608 




9694 


9737 


97 8o 


7 


52 


6108 


5i52 


5i 9 5 


5238 


5282 


53 2 5 


7 


53 


9823 


9866 


9909 


99 52 


9995 


..3 9 


6 


53 


5368 


54i2 


5455 


5498 


5542 


5585 


6 


54 


10.090082 


0125 


0168 


0211 


025^ 


0297 


5 


54 


56a8 


56 7 2 


5 7 i5 


5 7 5 9 


58o2 


5845 


5 


55 


o34o 


o383 


0426 


0469 


o5i2 


o555 


4 


55 


588 9 


5 9 32 


5 97 5 


6019 


6062 


6106 


4 


56 


o5 9 8 


o64i 


o684 


O 7 27 


o 77 o 


o8i3 


3 


56 


6149 


6i 9 a 


6236 


62-79 


6322 


6366 


3 


5 7 


o856 


0899 


0942 


o 9 85 


1028 


1071 


a 


57 


6409 


6453 


64 9 6 


653 9 


6580 


6626 


2 


58 


ni4 


ii5 7 


1 200 


1243 


1286 


i32 9 


i 


58 


6669 


6 7 i3 


6 7 56 


6800 


6843 


6886 


I 


5 9 


I3 7 2 


i4i6 


1459 


1502 


1 545 


1688 


o 


5 9 


6980 


6 97 3 


7 oi 7 


-7060 


7 io3 


7 i4 7 


O 




60" 


50" 


40" 


30" 


20" 


10" 


. 




60" 


50" 


40" 


30" 


20" 


10" 


d 




Co-tangent of 39 Degrees. 


i 




Co-tangent of 38 Degrees. 


a 


p p . < 1" 2" 3" 4" 5" 6" 7" 8" 9" 
irt { 4 9 13 17 21 26 30 34 39 


P. Part | 4 9 13 17 22 26 30 35 39 



LOGARITHMIC SINES. 



.g 


Sine of 52 Degrees. 




.H 


Sine of 53 Degrees. 




a 


0" 


10" 


20" 


30" 


40" | 50" 




SI 


0" 


10" 20" 30" 


40" 


50" 




o 


9 .8 9 6532 


654 9 


6565658i 


6598 6614)59 


o 


9 . 9 o234 9 2364 


238o 


2396 


24l2 


2428 


5 9 


I 

2 


663i 664 7 
67296746 


6664 6680 
67 62 6779 


669-7 6 7 i3 
6-7956812 


58 


i 

2 


2444 
253 9 


246o 

2555 


2475 
2571 


2491 

2586 


25o 7 
2602 


2523 

2618 


58 
57 


3 


68286844 


6861 


68 77 


6894 6910 


56 


3 


2634 


265o 


2666 


2681 


26 97 


2 7 l3 


56 


4 


6 9 26 6 9 43 


6 9 5 9 


6976 


6992 -7009 


55 


4 


2729 


2745 


2761 


2776 


2 79 2 


2808 


55 


5 


7 025 


704 1 


7 o58 


7 o 7 4 


7 o 9 o 7 io 7 


54 


5 


2824 


2840 


2856 


2871 


288 7 


2 9 o3 


54 


6 


7 I23 


7 i4o 


7 i56 7 i 7 2 


7 i8 9 ! 7 2o5 


53 


6 


2919 


2 9 35 


2950 


2966 


2 9 82 


2998 


53 


7 


7 222 


7 238 


7 254 


7 2 7 I 


7 28 7 7 3o3 


52 


7 


3oi4 


3o2 9 


3o45 


3o6i 


3o 77 


3o 9 3 


52 


8 


7 320 


7 336 


7 353 


7 36 9 


7 385 7 4o2 


5i 


8 


3io8 


3i24 


3i4o 


3i56 


3i 7 i 


3i8 7 


5i 


9 


74i8 


7434 


745 1 


7 46 7 


7 483 7 5oo 


5o 


9 


32o3 


3219 


3235 


325o 


3266 


3282 


5o 


10 


9 .8 97 5i6 


7 533 


7 54 9 


7 565 


7 582 -7598 


49 


10 


9.903298 


33i3 


332 9 


3345 


336i 


33 7 7 


49 


ii 


7 6i4 


7 63i 


7 64 7 


7 663 


-7680 -7696 


48 


ii 


33 9 2 


34o8 


3424 


344o 


3455 




48 


12 


7712 


7729 


7745 


7761 


77787794 


47 


12 


348 7 


35o3 


35i8 


3534 


355o 


3566 


47 


i3 


7810 


7 82 7 


7843 


7 85 9 


78767892 


46 


i3 


358i 


35 97 


36i3 


3629 


3644 


366o 


46 


i4 


79 o8 


7924 


79 4i 


79 5 7 


797 3 799 


45 


i4 


36 7 6 


36 9 i 


3 7 o 7 


3 72 3 


3 7 3 9 


3 7 54 


45 


i5 


8006 


8022 


8o3 9 


8o55 


8o 7 i 8088 


44 


i5 


3 77 o 


3 7 86 


38o2 


38i 7 


3833 


384 9 


44 


16 


8io4 


8120 


8i368i53 


8i69'8i85 


43 


16 


3864 


388o 


38 9 6 


3912 


3927 


3 9 43 


43 


17 


8202 


8218 


8 2 34 


825o 


826 7 |8283 


42 


i 7 


3 9 5 9 


3 97 4 


3 99 o 


4oo6 


4021 


4o3 7 


42 


18 


82 99 


83i5 


8332 


8348 


8364838i 


4i 


18 


4o53 


4069 


4o84 


4ioo 


4u6 


4i3i 


4i 


i 9 


83 97 


84i3 


842 9 


8446 


84628478 


4o 


i 9 


4i47 


4i63 


4178 


4194 


4210 


4225 


4o 


2o| 9 .8 9 84 9 4 


85n 


852 7 8543 


8559 85 7 6 


3 9 


20 


9.904241 


425 7 


4272 


4288 


43o4 


43i 9 


3 9 


21 


85 9 2 


8608 


86248641 


865 7 :86 7 3 


38 


21 


4335 


435i 


4366 


4382 


43 9 8 


44i3 


38 


22 


868 9 


8 7 o6 


8 7 228 7 38 


8 7 548 77 o 


3 7 


22 


4429 


4445 


446o 


44?6 


44 9 2 


45o 7 


37 


23 


8787 


88o3 


88i 9 8835 


8852 8868 


36 


23 


4523 


453 9 


4554 


45 7 o 


4586 


46oi 


36 


24 


8884 


8 9 oo 


8 9 i68 9 33 


8949 8965 


35 


24 


46i 7 


4632 


4648 


4664 


46 79 


46 9 5 


35 


25 


8 9 8i 


8997 


9 oi49o3o 


9046 9062 


34 


25 


4711 


4 7 26 


4742 


4 7 5 7 


4 77 3 


4 7 8 9 


34 


26 


9 o 7 8 


9 o 9 5 


9111 


9 I2 7 


91439159 


33 


26 


48o4 


4820 


4836 


485i 


486 7 


4882 


33 


27 


9 i 7 6 


9 I 9 2 


9 2O8 9 224 


92409256 


32 


27 


48 9 8 


49144929 


4945 


4 9 6o 


4 97 6 


32 


28 


9273 


9 28 9 




9 32I 


9 33 79 354 


3i 


28 


4992 


5oo/ 5oa3 


5o38 


5o54 


5o 7 o 


3i 


29 


9 3 7 o 


9 386 


9 4o2 9 4i8 


9 434 9 45o 


3o 


29 


5o85 


5ioi 


5n6 


5i32 


5i48 


5i63 


3o 


3o 


9 .8 99 46 7 


9 483 


9 4 99 9 5i5 


9 53i 


9 54 7 


2 9 


3o 


9.905179 


5i 9 4 


52IO 


5225 


524i 


5 2 5 7 


2 9 


3i 


9 564 


9 58o 


9 5 9 6 9 6i2 


9 6 2 8 


9 644 


28 


3i 


5272 


5288 


53o3 


53i 9 


5334 


535o 


28 


32 


9 66o 


9 6 77 


9 6 9 3 


9-709 


97 25 97 4i 


2 7 


32 


5366 


538i 


53 97 


54i2 


5428 


5443 


2 7 


33 


97 5 7 


9773 


97 8 9 9 8o6 


9 822 9 838 


26 


33 


545 9 


5474 


5490 


55o6 


552i 


553 7 


26 


34 


9 854 


9 8 7 o 


9 886 99 02 


99 i8 


99 35 


25 


34 


5552 


5568 


5583 


55 99 


56i4 


563o 


25 


35 


99 5i 


99 6 7 


99 83 9999 






24 


35 


5645 


566i 


5676 


56 9 2 


5 7 o8 


5 7 23 


24 


36 


9 . 9 ooo4 7 


oo63 


oo 79 oo 9 6 


OII2 


0128 


23 


36 


5 7 3 9 


5 7 54 


5 77 o 


5 7 85 


58oi 


58i6 


23 


37 


oi44 


0160 


01-76 0192 


0208 


0224 


22 


37 


5832 


584 7 


5863 


58 7 8 


58 9 4 


5 9 o 9 


22 


38 


0240 


0256 


O2 7 2 


0289 o3o5 


0321 


21 


38 


5 9 25 


5 9 4o 


5 9 56 


5 97 i 


5 9 8 7 


6002 


21 


3 9 


o33 7 


o353 


o36 9 o385 


o4oi 


0417 


2O 


39 


6018 


6o33 6049 


6o64 


6080 


6o 9 5 20 


4o 


9.900433 


o44 9 


o465o48i 


o4 9 7 


o5i3 


I 9 


4o 


9 . 9 o6m 


61266142 


6i5 7 


6i 7 3 


6188 


I 9 


4i 


0529 


o545 


o562o5 7 8 


o5 9 4 


0610 


18 


4i 


6204 


6219 


6235 


625o 


6265 


6281 


18 


42 


0626 


0642 


o658o6 7 4o6 9 o 


o 7 o6 


17 


42 


62 9 6 


63i2 


632 7 


6343 


6358 


63 7 4 


1 7 


43 


O 7 22 


o 7 38 


o 7 54 o 77 o o 7 86 


0802 


16 


43 


638 9 


64o5 


6420 


6436 


645 1 


6466 


16 


44 


O8l8 


o834 


o85o 0866 0882 


o8 9 8 


i5 


44 


6482 


6497 


65i3 


65 2 8 


6544 


655 9 


i5 


45 


0914 


o 9 3o 


o 9 46 o 9 62 


o 97 8 


o 99 4 


i4 


45 


6575 


65 9 o 66o5 


6621 


6636 


665 2 


i4 


46 


1010 


1026 


1042 io58 


io 7 4 


io 9 o 


i3 


46 


6667 


6683 6698 


6 7 i3 


6 7 2 9 


6 7 44 


i3 


4 7 


1 1 06 


I 122 


n38 


1 1 54 


II 7 


1186 


12 


47 


6760 


6 77 5 


6791 


6806 


6821 


683 7 


12 


48 


1202 


1218 


1234 I25o 


1266 


1282 


II 


48 


6852 


6868 


6883 


6898 


6 9 i4 


6 9 2 9 


II 


49 


1298 


i3i4 


i33o 


1 346 


i362 


i3 7 8 


IO 


49 


6 9 45 


6960 


6 97 5 


6991 


7006 


7 022 


IO 


5o 


9.901394 


i4io 


1426 


1442 


i458 


i4 7 4 


9 


5o 


9 . 9 o 7 o3 7 


7 o52 


-7068 


7 o83 


799 


7 n4 


9 


5i 


1490 


i5o5 


i5ai 


i53 7 


r553 


i56 9 


8 


5i 


7 I2 9 


7 i45 


7 i6o 


7 i 7 5 


7i 9 i 


7 206 


8 


52 


i585 


1601 


1617 


i633 


i64 9 


i665 


7 


52 


7222 


?2 3 7 


7 252 


7 268 


7283 


7 2 9 8 


7 


53 


1681 


i6 97 


I 7 i3 


I 7 2 9 


i 7 45 


i 7 6o 


6 


53 


73i4 


7329 


7 344 


7 36o 


7 3 7 5 


7 3 9 i 


6 


54 


i 77 6 


I 79 2 


1808 


1824 


i84o 


i856 


5 


54 


7406 


7 42i 


743 7 


7452 


7 46 7 


7 483 


5 


55) i8 7 2 


1888 


i 9 o4 


1920 


i 9 36 


i 9 5i 


4 


55 


74 9 8 


7 5i3 


7 52 9 


7 544 7 55 9 


7 5 7 5 


4 


56 


196-7 


i 9 83 


i 999 


2Ol5 


2031 


204 7 


3 


56 


759 O 


7 6o5 


-7621 


7 636 7 65i 


7667 


3 


57 


2o63 


20 79 


2O 9 5 


2IIO 


2126 


2142 


2 


57 


7682 


7697 


77 i3 


77 28 77 43 


77 5 9 


2 


58 


2i58 


2I 7 4 


2I 9 O 


22O6|2222 


2238 


I 


58 


7774 


7789 


7 8o5 


7 82o 7 835 


7 85i 


I 


5 9 


2253 


226 9 


2285 


2301 23l 7 


2333 


O 


5 9 


7866 


7881 


7896 


79 I2 79 2 7 


79 42 







60" 


50" 


40' 


30" | 20" 


10" 


O 




60" 50" 


40" 


30" i 20" 


10" 


a 




Co-sine of 97 


Degrees. 






Co-sine of 36 Degrees. 


1 


P PartJ l " 2 " 3// * 


5" 6" 7" 8" 9" 


p p . < 1" 2" 3" 4" 5" 6" 7" 8" 9" 


l.PartJ 2356 


8 10 11 13 15 


irt \ 2 3 5 6 8 9 11 12 14 



LOGARITHMIC TANGENTS. 



77 



.5 


. Tangent of 52 Degrees. 




.5 


Tangent of 53 DC grees. 




8 


0" 


10" 


20" | 30" 


40" 50" 




2 


0" 


10" 


20" 


30' 


40" 


50" 







10. 107190 


7 234 


7277(7320 


7 364 


7407 


5o 





10.122886 


2929 


2 9 73 


3o 7 


3o6i 


3io5 


5 9 


i 


745 1 


7494 


7 53 77 58i 


7624 


7668 


58 


I 


3i48 


3192 


3236 


3280 


3324 


3368 


58 


2 


7711 


77 54 


7798 7 84i 


7 885 


7928 


5 7 


2 


34n 


3455 


3499 


3543 


358 7 


363o 


5 7 


3 


79-72 


8oi5 8o58 


8l02 


8i458i8 9 


56 


3 


36 7 4 


3 7 i8 


3-762 


38o6 


385o 


38 9 3 


56 


4 




82 7 5 


83i 9 


8362 


84o6 8449 


55 


4 


3 9 3 7 


3 9 8i 


4o25 


4069 


4n3 


4i5 7 


55 


5 


84g3 


8536 


85 79 


8623 


8666 


8710 


54 


5 


4200 


4244 


4288 


433 2 


43 7 6 


4420 


54 


6 


8 7 53 


8797 


884o 


8884 


892-7 


8970 


53 


6 


4463 


4507 


455i 


45 9 5 


463 9 


4683 


53 


7 


9014 




9101 


9144 


9188 


9 23l 


52 


7 


4727 


i 77 o 


48i4 


4858 


1902 


4g46 


52 


8 


9 2 7 5 


9 3i8 


9 36i 


94o5 


9448 


9 4 9 2 


5i 


8 


4 99 o 


5o34 


5o 77 


5l2I 


5i65 


5209 


5i 


9 


9535 


9 5 79 


9622 


9666 


9709 


97 53 


5o 


9 


5253 


52 97 


534i 


5385 


5428 


54 7 2 


5o 


10 


o. io9 7 96 


9 84o 


9 883 


9926 


9970 


,.i3 


49 


10 


io.i255i6 


556o 


56o4 


5648 


5692 


5 7 36 


4 9 


ii 


o. noo5 7 


OIOO 


oi44 


0187 


023l 


0274 


48 


ii 


5780 


5823 


586 7 


5 9 n 


5 9 55 


5 999 


48 


12 


o3i8 


o36i 


o4o5 


o.448 


0492 


o535 


4 7 


12 


6o43 


6087 


6i3i 


6 I? 5 


62I 9 


6262 


47 


i3 


o5 79 


0622 


0666 


0709 


0752 


0796 


46 


i3 


63o6 


635o 


63 9 4 


6438 


6482 


6526 


46 


i4 


o83 9 


o&83 


0926 


0970 


ioi3 


io5 7 


45 


i4 


6570 


66i4 


6658 


6701 


6 7 45 


6789 


45 


i5 


I I 00 


1 44 


1187 


I23l 


1274 


i3i8 


44 


i5 


6833 


6877 


6921 


6 9 65 


7009 


7 o53 


44 


16 


i36i 


4o5 


1 448 


1492 


i535 


l5 79 


43 


16 


7097 


7141 


7 i85 


7229 


7273 


7816 


43 


l l 


1622 


666 


1709 


i 7 53 


1797 


i84o 


42 


1 7 


736o 


r4o4 


7 448 


7492 


7536 


7 58o 


42 


18 


1884 


927 


1971 


20l4 


2o58 


2101 


4i 


18 


7624 


7668 


77 I2 


77 56 


7800 


7844 


4i 


19 


2i45 


2188 


2232 


2275 


2 3i 9 


2362 


4o 


19 


7888 


7 9 32 


797 6 


8020 


8o63 


8107 


4o 


20 


o. 112406 


2449 


2493 


2536 


2 58o 


2623 


39 


20 


10. I28i5i 


8i 9 5 


8239 


8283 


8327 


8871 


3 9 


21 


266-7 


2711 


2 7 54 


2798 


2841 


2885 


38 


21 


84i5 


845 9 


85o3 


854? 


SSgi 


8635 


38 


22 


2928 


2972 


3oi5 


3o5 9 


3 I 02 


3i46 


37 


22 


8679 


8723 


8 7 6 7 


8811 


8855 


8899 


37 


23 


3i8 9 


3233 


3277 


3320 


3364 


34o 7 


36 


23 


8 9 43 


8987 




9075 


9119 


9 i63 


36 


24 


345 1 


3494 


3538 


358i 


3625 


366 9 


35 


24 


9207 


9251 


9 2 9 5 


9 33 9 


9 383 


9427 


35 


25 


3 7 I2 


3 7 56 


3 799 


3843 


3886 


3 9 3o 


34 


25 


9471 


9 5i5 


9 55 9 


9 6o3 


9647 


9691 


34 


26 


3 97 4 


4017 


4o6i 


4io4 


4i48 


4191 


33 


26 


97 35 


9779 


9 823 


9867 


9911 


99 55 


33 


27 


4235 


4279 


4322 


4366 


44o 9 


4453 


32 


27 


9999 


..43 


..87 


.i3i 


.i 7 5 


.2I 9 


32 


28 


4496 


454o 


4584 


4627 


4671 


4714 


3i 


28 


io.i3o263 


0307 


o35i 


o3 9 5 


0439 


o483 


3i 


2 9 


4 7 58 


4802 


4845 


4889 


4 9 32 


4976 


3o 


29 


0527 


o5 7 i 


o6i5 


o65 9 


o 7 o3 


0747 


3o 


3o 


IO. Il5o20 


5o63 


5107 


5i5o 


5 1 94 


5238 


29 


3o 


10. 130791 


o835 


o8 79 


0923 


0967 


ion 


2 9 


3i 


5281 


5325 


5368 


54i2 


5456 


5499 


28 


3i 


io55 


1099 


n43 


1187 


1232 


1276 


28 


32 


5543 


5586 


563o 


56 7 4 


5717 


5 7 6i 


27 


32 


1320 


1 364 


i4o8 


i452 


i4 9 6 


i54o 


2 7 


33 


58o4 


5848 


5892 


5g35 


5979 


6o23 


26 


33 


1 584 


1628 


1672 


1716 


1760 


1804 


26 


34 


6066 


6110 


6i53 


619-7 


6241 


6284 


25 


34 


1 848 


1892 


i 9 36 


1981 


2O25 


2o6 9 


25 


35 


6328 


6372 


64i5 


645 9 


65o2 


6546 


24 


35 


91*3 


2i5 7 


22OI 


2245 


2289 


2333 


24 


36 


o5oo 


6633 


6677 


6 7 2I 


6 7 64 


6808 


23 


36 


2377 


2421 


2465 


2509 


2554 


2 5 9 8 


23 


37 


6852 


6895 


6 9 3 9 


6982 


7026 


7070 


22 


37 


2642 


2686 


2780 


2774 


2818 


2862 


22 


38 


7 n3 


7 l5 7 


7201 


7 244 


7288 


7332 


21 


38 


2906 


2g5o 


2994 


3o3 9 


3o83 


3!2 7 


21 


3 9 


7 3 7 5 


7419 


7463 


7 5o6 


7 55o 


7594 


20 


3 9 


3i 7 i 


3 2I 5 


3259 


33o3 


3347 


3391 


2O 


4o 


io.n 7 63 7 


7681 


7725 


77 68 


7812 


7 856 


I 9 


4o 


10. 133436 


348o 


3524 


3568 


36i2 


3656 


19 


4i 


7899 


79 43 


7987 


8o3o 


8o 7 4 


8118 


18 


4i 


8700 


3?44 


3 7 8 9 


3833 


38 7 7 


8921 


18 


42 


8161 


82o5 


8249 


8202 


8336838o 


: 7 


42 


3965 


4009 


4o53 


4097 


4i42 


4i86 


i 7 


43 


8423 


846 7 


85n 


8555 


85 9 8 


8642 


16 


43 


4230 


4274 


43i8 


4362 


44o6 


445 1 


16 


44 


8686 


8729 


8 77 3 


88i 7 


8860 


8904 


i5 


44 


4495 


4539 


4583 


4627 


46 7 i 


4 7 i5 


i5 


45 


8 9 48 


8992 


9 o35 


90-79 


9123 


9166 


i4 


45 


4 7 6o 


48o4 


4848 


4892 


4g36 


4 9 8o 


i4 


46 


9 2IO 


9254 


9 2 97 


9 34i 


9 385 


9429 


i3 


46 


5o25 


5o6 9 


5ii3 


5i5 7 


52OI 


5245 


i3 


47 

48 


9 472 
97 35 


9 5.6 

9778 


9 56o 

9 822 


9602 
9866 


9 647 
999 


9691 
9 9 53 


12 
I I 


47 
48 


5290 
5555 


5334 
55 99 


5378 
5643 


5422 
568 7 


5466 
5 7 3i 


55io 
5 77 5 


12 
II 


49 


9997 




..84 


.128 


.172 


?2i6 


10 


4 9 


5820 


5864 


5 9 o8 


5 9 5 2 


5 99 6 


6o4i 


10 


5o 


IO. 120259 


o3o3 


o347 


oSgi 


o434 


0478 


g 


5o 


io.i36o85 


6i2 9 


6178 


6217 


6262 


63o6 


9 


5i 


O522 


o565 


o6o 9 


o653 


o6 9 7 


0740 


8 


5i 


635o 


63g4 


6438 


6483 


652 7 


65 7 i 


8 


52 


o 7 84 


0828 


0872 


ogiS 


o 9 5 9 


100: 


7 


52 


66i5 


665 9 


6704 


6 7 48 


6792 


6836 


7 


53 


io4 7 


1091 


n34 


11-78 


1222 


1266 


6 


53 


6881 


6925 


6969 


7 oi3 


7 5 7 


7 IO2 


6 


54 


1309 


i353 


i3 97 


i44i 


1 484 


i5 2 8 


5 


54 


7146 


7190 


723^ 


7279 


7 3 2 3 7 36 7 


1 f 


55 


l5 7 2 


1616 


i65 9 


i 7 o3 


1747 


1791 


4 


55 


7 4n 


7455 


75oo 


7544 


7 588 


7 632 


4 


56 


i835 


1878 


I 9 22 


1966 


2OIO 


2o5!: 


3 


56 


7677 


7721 


77 65 


7809 


7 854 


7 8 9 8 


3 


5 7 


2O9 7 


2r4i 


2i85 


2229 


2272 


23i6 


2 


5 7 


7942 


7986 


8o3i 


8075 


8119 


8i63 


2 


58 


236o 


2404 


2448 


2491 


2535 


2^79 


I 


58 


8208 


8252 


8296 


834i 


8385 


8429 


I 


5 9 


2623 


2667 


2710 


2 7 5/! 


2798 


2842 





5 9 


84?3 


85i8 


8562 


8606 


865o 


86 9 5 


O 




60" 


50" 


40" 


30" 


20" 


10" 


d 




60" 


50" 


40" 


30" 


20" 


10" 


- 




Co-tangent of 37 Degrees. 


1 




Co-tangent of 36 Degrees. 


1 


A 1" 2" 3" 4" 5" 6" 7" 8" 9" 
in \ 4 9 13 17 22 26 31 35 39 


< 1" 2" 3" 4" 5" 6" 7" 8" 9" 
l-.-farWj 4 9 13 is 2 2 26 31 35 40 



78 



LOGARITHMIC SINES. 



I 


Sine of 54 Degrees. 




a 


Sine of 55 Degrees. 


i 


s 


0" 


10" 


20" 30" 40" 


50" 






0" 


10" 


20" 30" j 40" 


50" 







9.907958 


7973 


798880048019 


8o34 


5 9 


o 


9 . 9 i3365 


33 79 


33 9 4 


34o 9 3423 


3438 


5 9 


I 


8o4 9 


8o65 80808095 8111 


8126 


58 


i 


3453 


3468 


34S2 


34 9 7 


35i2 


352 7 


5S 


2 


8i4i 


8156:817281878202 


821-7 


5 7 


2 


354i 


3556 


35 7 i 


3585 


36oo 


36i5 


57 


q 


8 2 33 


8248 8263 82-79 8294 


8309 


56 


3 


363o 


3644 


365 9 


36 7 4 


3688 


3 7 o3 


56 


4 


83 2 4 


834o!835583 7 o8385 


84oi 


55 


4 


3 7 i8 


3 7 33 


3 7 4 7 


3 7 62 


3 777 


3 79 i 


55 


c 


84i6 


843 1 


8446 8462:8477)8492 


54 


5 


38o6 


382i 


3836 


385o 


3865 


388o 


54 


6 


8507 


8523 


85388553^85688584 


53 


6 


3894 


3 9 o 9 


3 9 24 


3 9 38 


3 9 53 


3 9 68 


53 


7 


85 99 


86i4 


86298644:86608675 


52 


7 


3982 


3 997 


4012 


4026 


4o4i 


4o56 


52 


8 


86 9 o 


8 7 o5 


8721 87368751)8766 


5i 


8 


4070 


4o85 


4ioo 


4n4 


4129 


4x44 


5i 


9 


8781 


8 797 


88128827884218857 


5o 


9 


4i58 


4i 7 3 


4i88 


4202 


4217 


4232 


5o 


JO 


9.908873 


8888 


89038918,8933 


8949 


49 


10 


9.914246 


4261 


42-76 


4290 


43o5 


4320 


49 


ii 


8 9 64 


8979 


89949009*9025 


9040 


48 


ii 


4334 


4349 


4364 


43 7 8 


43 9 3 


4407 


48 


12 


9 o55 


90-70 9 o85 9101 9116 


9i3i 


47 


12 


4422 


443 7 


445 1 


4466 


448 1 


4495 


47 


i3 


9146 


9161 


9176 9192:9207 


9222 


46 


i3 


45io 


4524 


453 9 


4554 


4568 


4583 


46 


i4 


9 23 7 


9252 


9267 9283^9298 


9 3i3 


45 


i4 


45 9 8 


46l2 


462 7 


464i 


4656 


46 7 i 


45 


i5 


9328 


93439358:93-7419389 


9 4o4 


44 


i5 


4685 


4 7 oo 


47i4 


4 7 29 


4744 


4758 


44 


16 


9419 


9434 


9449 9464 9480 


9 4 9 5 


43 


16 


4773 


4 7 8 7 


4802 


48i 7 


483i 


4846 


43 


17 




952595409555 


9 5 7 


9 586 


42 


17 


486o 


48 7 5 


48 9 o 


4904 


4919 


4 9 33 


42 


18 


9601 


96169631 96469661 


9 6 7 6 


4i 


18 


4948 


4962 


4 9 77 


4992 


5oo6 


5021 


4i 


20 


9691 
9.909782 


9 7 o 7 9 7 22 97 3 797 52 
9 7 9 7 9812^827 9 843 


9767 
9 858 


4o 
39 


'9 

20 


5o35 
9.915123 


5o5o 
5i3 7 


5o64 
5i5 2 


5o 79 
5i66 


5o 9 4 
5i8i 


5io8 
5i 9 6 


4o 
3 9 


21 


9 8 7 3 


9 888 99 o3 


9918 9933 


99 48 


38 


21 


52IO 


5225 


523 9 


5254 


5268 


5283 


38 


22 


99 63 


997 s 9994 


...9 


..24 


..3 9 


37 


22 


5297 


53i2 


5326 


534i 


5356 


53 7 o 


37 


23 


9.910054 


0069 0084 


0099 01 14 


0129 


36 


23 


5385 


5399 


54i4 


5428 


5443 


545 7 


36 


24 


oi44 


oi5 9 oi 7 5 


0190 O2o5 


O22O 


35 


24 


5472 


5486 


55oi 


55i5 


553o 


5544 


35 


25 


0235 


O25o O265 


0280 


0295 


o3io 


34 


25 


555 9 


55 7 3 


5588 


56o2 


56i 7 


563i 


34 


26 


o325 


o34oo355 


0370 


o385 


o4oo 


33 


26 


5646 


566o 


56 7 5 


568 9 


5 7 o4 


5 7 i8 


33 


27 


o4i5 


o43oo446 


o46i 


0476 


o4 9 i 


32 


27 


5733 


5 7 4 7 


5 7 62 


5 77 6 


5791 


58o5 


32 


28 


o5o6 


O52I 


o536 


o55i 


o566o58i 


3i 


28 


5820 


5834 


5849 


5863 


58 7 8 


58 9 2 


3i 


29 


0596 


0611 


0626 


o64i 


06560671 


3o 


29 


5 9 o 7 


5 9 2I 


5 9 36 


5 9 5o 


5 9 65 


5 979 


3o 


3o 


9.910686 


O 7 OI 


0716 


o 7 3i 


o 7 46 


o 7 6i 


29 


3o 


9.915994 


6008 


6023 


6037 


6o52 


6066 


29 


3i 


0776 


o 79 i 


0806 


0821 


o836 


o85i 


28 


3i 


6081 


6o 9 5 


6109 


6124 


K 6i38 


6i53 


28 


32 


0866 


0881 


0896 


0911 


0926 


0941 


27 


32 


6167 


6182 


6196 


6211 


6225 


6240 


27 


33 


0956 


09-71 


0986 


IOOI 


1016 


io3i 


26 


33 


6254 


6268 


6283 


6297 


63i2 


6326 


26 


34 


io46 


1061 


1076 


1091 


1106 


I 121 


25 


34 


634i 


6355 


636 9 


6384 


6398 


64i3 


25 


35 


n36 


u5i 


1166 


1181 


1196 


I2II 


24 


35 


6427 


6442 


6456 


6470 


6485 


64 99 


24 


36 


1226 


1241 


1256 


1271 


1286 


i3oo 2 3 


36 


65i4 


65 2 8 


6543 


655 7 


6571 


6586 


23 


37 


i3i5 


i33o 


i345 


i36o 


1375 139022 


37 


6600 


66i5 


6629 


6643 


fi658 


6672 


22 


38 


i4o5 


1420 i435 


i45o 


i465 i48o 


21 


38 


6687 


6701 


6 7 i5 


6730 


6744 


7 5 9 


21 


39 


1495 


i5io 


i525 


i54o 


i555i56 9 


2O 


39 


6 77 3 


6787 


6802 


6816 


683o 


6845 


20 


4o 


9.911584 


l5 99 


i6i4 


1629 


i644 i65 9 19 


4o 


9.916859 


68 7 4 


6888 


6902 


6917 


6 9 3i 


r 9 


4i 


1674 


1689 


1704 


1719 


1734 1748 18 


4i 


6946 


6 9 6o 


6 97 4 


6989 


7003 


7017 


1 8 


42 


1763 


1778 


i 79 3 


1808 


1823 i838 


17 


42 


7032 


7046 


7060 


7075 


7089 


7104 


17 


43 


i853 


1868 


i883 


1897 


1912 1927 


16 


43 


7118 


7 l32 


7147 


7161 


7 i 7 5 


7i 9 o 


16 


44 


1942 


1957 


1972 


1987 


2OO2 2017 


i5 


44 


7204 


7218 


7233 


7247 


7261 


7276 


i5 


45 


2031 


2046 


2061 


2076 


2091 2IO6 


i4 


45 


7290 


7 3o4 


7 3i 9 


7 333 


7 34 7 


7362 


i4 


46 


2121 


2i36 


2i5o 


2i65 


2l8o 2195 


i3 


46 


7 3 7 6 


7 3 9 o 


74o5 


7419 


7433 


7448 


i3 


47 


22IO 


2225 224O 


2255 


2269 2284 


12 


47 


7462 


7 4 7 6 


7491 


75o5 


7 5i 97 534 


12 


48 


2299 


23i4 


2329 


2344 


2358 2 3 7 3 


II 


48 


7 548 7 56 2 


7 5 7 6 7 5 9 i 


7 6o5 :7 6i 9 


II 


49 


2388 


24o3 2418 


2433 


2448 2462 


10 


49 


7 634 7648 


7662 7677 


-7691 77 o5 


IO 


5o 


9.912477 


2492 2507 


2522 


2 53 72 55i 


9 


5o 


9.9177197734 


77 48 7762 


7777 779 1 


9 


5i 


2566 


2 58i 


2596 


26l I 


2625 2640 


8 


5i 


7805 7819 


7 834 7848 


7862 7877 


8 


52 


2655 


2670 2685 


2700 


2-714 2-729 


7 


52 


7891 79 o5 


7919 79 34 




7 


53 


2 7 44 


27 5 9 


2774 


2 7 88 


28o3 2818 


6 


53 


7976 7991 8oo5 8019 


8o338o48 


6 


54 


2833 


2848 


2862 


2877 


2892 290-7 5 


54 


806280768090810581198133 5 


55 


2922 


29362951 


29662981 2995 4 


55 


814781628176819082048219 4 


56 


3*oio 


3o 2 5 


3o4o3o55j3o693o84 3 


56 


82338247:8261827682908304 3 


5? 


3099 


3n4 


3i283i43:3i583i 7 3 2 


57 


83i8'8333834 7 836i 83 7 5838 9 2 


58 


3i8 7 


32O2 


32173232 32473261 


i 


58 


84o4 84i8 8432 8446 846i 84 7 5 i 


5 9 


32 7 6 


3291 


33o6332o!3335335o o 


5 9 


8489 85o385i 7 853 2 8546856o o 




60" 


50" 


40" 30" 20" 10" . ^ 




60" 50" t 40" 30" 20" 10 7 ^ 




Co-sine of 35 Degrees. i 




Co-sine of 34 Degrees. ^ 


T.PartM' 2/ 3 " 4 " 5// 6// 7 * 8// 9 "- '' P P^n" 2// 3// 4// 5 " 6 " 7 " 8" 9" 


J 2 3 5 


6 8 9 11 12 14 ; "^ 1 3 4 6 7 9 10 12 13 



LOGARITHMIC TANGENTS, 



d 1 Tangent of 54 Degrees. 




a 


Tangent of 55 Degrees. 




* 


0" 


10" 


20" 


30" 


40" 1 50" 




* 


0" 


10" 


20" 


30" | 40" 


\5(y 







io.i3873 9 


8 7 83 


8828 


8872 


8 9 i6 


8 9 6o 


5o 


o 


10.154773 


48i8 


4863 


4 9 o8 


4 9 52 


4997 


v 


i 


9 oo5j 9 o4 9 


9 o 9 3 


9 i38 


9 l82 


9 226 


58 


I 


5042 


5o8 7 


5i32 


5i 77 


5221 


5 2 66 


58 


2 


9 2 7 


9 3i5 


9 35 9 


9 4o3 


9 448 


9 4 9 2 


5 7 


2 


53n 


5356 


54oi 


5446 


5490 


5535 


57 


3 


9 536 


9 58o 


9 625 


9669 


97 l3 


97 58 


56 


3 


558o 


56255670 


5 7 i5 


5 7 5 9 


58o4 


5b 


4 


9 8o2 


9 846 


9 8 9 i 


99 35 


9979 


..24 


55 


4 


584 9 


58 9 4 5 9 3 9 


5 9 84 


6o2 9 


6o 7 3 


55 


5 


10. i4oo68 


01 12 


oi5 7 


0201 


0245 


0290 


54 


5 


6118 


6i636 2 o8 


6 2 53 


62 9 8 


6343 


54 


6 


o334 


o3 7 8 


0423 


o46 7 


o5ii 


o556 


53 


6 


6388 


6432 64 77 


6522 


6567 


6612 


53 


7 


0600 


o644 


o68 9 


0733 


0777 


0822 


52 


7 


665 7 


6-702 


6 7 4 7 


6 79 i 


6836 


688 1 


52 


8 


0866 


o 9 io 


o 9 55 


0999 


io43 


1088 


5i 


8 


6 9 26 


6 97 i 


7 oi6 


7 o6i 


7106 


7 i5i 


5i 


9 


Il32 


1 176 


1221 


1265 


i3o 9 


i354 


5o 


9 


7i 9 5 


-7240 


7 285 


7 33o 


7 3 7 5 


7 4?o 


5o 


10 


io.i4i3 9 8 


1442 


i48 7 


i53i 


i5 7 6 


1620 


49 


10 


io.i57465 


7 5io 


7 555 


7 6oo 


7 645 


7 68 9 


49 


ii 


1 664 


r 79 


i 7 53 


1797 


1842 


1886 


48 


ii 


7734 


7779 


7824 


7 86 9 


7 9 i4 


79 5 9 


48 


12 


I 9 3i 


i 97 5 


2019 


2064 


2108 


2l52 


4 7 


19 


8oo4 


8049 


8o 9 4 


8i3 9 


8i84 


8229 


47 


i3 


2I 9 7 


2241 


2286 


2 33o 


23 7 4 


24l9 


46 


r3 


8273 


83i8 


8363 


84o8 


8453 


8498 


46 


i4 


2463 


2 5o8 


2552 


25 9 6 


2641 


2 685 


45 


i4 


8543 


8588 


8633 


8678 


8723 


8 7 68 


45 


i5 


2780 


2774 


2818 


2863 


2 9 7 


2952 


44 


ID 


88i3 


8858 


8 9 o3 


8 9 48 


8 99 3 


9 o38 


44 


16 


2 99 6J3o4i 


3o85 


3i2 9 


3i 7 4 


3218 


43 


16 


9 o83 


9 I28 


9 i 7 3 


9 2l8 


9 263 


9 3o 7 


43 


17 


3263 


33o7 


335i 


33 9 6 


344o 


3485. 


42 


i 7 


9 35 2 


9 3 97 




948 7 


9 532 


9 5 77 


42 


18 


35 29 


35 7 4 


36i8 


3662 


3707 


3 7 5i 


4r 


18 


9 622 


9 66 7 


97 I2 


97 5 7 


9 8o2 


9 84 7 


4i 


19 


3 79 6 


384o 


3885 


3 9 2 9 


3 97 4 


4oi8 


4o 


19 


9 8 9 2 


99 3 7 


9982 


..27 


..72 


.n 7 


4o 


20 


10. 144062 


4io 7 


4i5i 


4i 9 6 


4240 


4285 


3 9 


20 


10. 160162 


0207 


0252 


02 97 


0342 


o38 7 


3 9 


21 


432 9 


43 7 4 


44i8 


4463 


4507 


455i 


38 


21 


0432 


o4 77 


0522 


o56 7 


0612 


o65 7 


38 


22 


45 9 6 


464o 


4685 


472 9 


4774 


4818 


37 


22 


0703 


o 7 48 


o 79 3 


o838 


o883 


9 28 


3 7 


23 


4863 


4 9 o 7 


4 9 5 2 


4 99 6 


5o4i 


5o85 


36 


23 


0973 


1018 


io63 


1108 


n53 


n 9 8 


36 


24 


5i3o 




52 1 9 


5263 


53o8 


5352 


35 


24 


1243 


1288 


i333 


i3 7 8 


1423 


i468 


35 


25 


53 97 


544i 


5486 


553o 


55 7 5 


5619 


34 


25 


i5i3 


i558 


i6o3 


1 648 


i6 9 3 


I 7 3 9 


34 


26 


5664 


5 7 o8 


5 7 53 


5 797 


5842 


5886 


33 


26 


1784 


l82 9 


i8 7 4 


1919 


i 9 64 


2O0 9 


33 


27 


5 9 3i 


5 97 5 


DO2O 


6o64 


6io 9 


6i53 


32 


27 


2o54 


20 99 


2i44 


2i8 9 


2234 


22 79 


32 


28 


6i 9 8 


6242 


628-7 


633i 


6876 


6420 


3i 


28 


2325 


23 7 


24i5 


2460 


25o5 


2550 


3i 


29 


6465 


65o 9 


6554 


65 9 8 


6643 


668-7 


3o 


29 


25 9 5 


2640 


2685 


2730 


2 77 5 


2821 


3o 


3o 


10.146732 


6 777 


6821 


6866 


6 9 io 


6 9 55 


29 


3o 


10. 162866 


2 9 II 


2 9 56 


3ooi 


3o46 


3o 9 i 


29 


3i 


6 999 


7 o44 


7 o88 


7 i33 


7177 


7222 


28 


3i 


3i36 


3i8i 


322 7 


3272 


33i 7 


3362 


28 


32 


7267 


7 3n 


7 356 


7 4oo 


7445 


748 9 


27 


32 


34o 7 


3452 


34 97 


3542 


3588 


3633 


27 


33 


7534 


7 5 7 8 


7 6 2 3 


7 668 


7712 


7757 


26 


33 


36 7 8 


3 7 23 


3 7 68 


38i3 


3858 


3 9 o4 


26 


34 


7801 


7 846 


7 8 9 o 


79 35 


79 8o 


8024 


25 


34 


3 9 4 9 


3 99 4 


4o3 9 


4o84 


4l2 9 


4i 7 4 


25 


35 


8o6 9 


8n3 


8i58 


82o3 




8292 


24 


35 


4220 


4265 


43io 


4355 


44oo 


4445 


24 


36 


8336 


838i 


8425 


84 7 o 


85i5 


8559 


23 


36 


44 9 i 


4536 


458i 


4626 


46 7 i 


4 7 i6 


23 


'3 7 


86o4 


8648 


86 9 3 


8 7 38 


8782 


8827 


22 


37 


4762 


48o 7 


4852 


48 97 


4 9 42 


4 9 88 


22 


38 


8871 


8 9 i6 


8 9 6i 


9 oo5 


9 o5o 


9095 


21 


38 


5b33 


5o 7 8 


5i23 


5i68 


52i3 


5 2 5 9 


21 


3 9 


9 i3 9 


9 i84 


9 228 


9 2 7 3 


9 3i8 


9 362 


20 


3 9 


53o4 


534 9 


53 9 4 


543 9 


5485 


553o 


20 


4o 




9 452 


9 4 9 6 


9 54i 


9 585 


963o 


19 


4o 


IO. 165575 


5620 


5666 


5711 


5 7 56 


58oi 


1 9 


4i 


9 6 7 5 


97i9 


9764 


9 8o 9 


9 853 


9898 


18 


4i 


5846 


58 9 2 


5 9 3 7 


5 9 82 


6027 


6o 7 3 


18 


42 


99 43 


99 8 7 


..32 


..76 


.121 


.166 


17 


42 


6118 


6i63 


62b8 


6253 


62 99 


6344 


17 


43 


IO. I5O2IO 


0255 


o3oo 


o344 


o38 9 


o434 


16 


43 


638 9 


6434 


648o 


6525 


65 7 o 


66i5 


16 


44 


0478 


o523 


o568 


0612 


o657 


0702 


i5 


44 


6661 


6706 


6 7 5i 


67 9 6 


6842 


688 7 


i5 


45 


0746 


o 79 i 


o836 


0880 


092!) 


0970 


i4 


45 


6 9 32 


6 9 77 


7 023 


7068 


7ii3 


7 i58 


i4 


46 


ioi4 


io5 9 


no4 


n4 9 


ii 9 3 


1238 


i3 


46 


7204 


7 24 9 


7 2 9 4 


7340 


7 385 


7 43o 


i3 


47 


1283 


l32 7 


1872 


i4i 7 


i46i 


i5o6 


12 


47 


7475 


7 52I 


7 566 


7611 


7 65 7 


77 02 


12 


48 


i55i 


i5 9 5 


i64o 


i685 


1780 


1774 


II 


48 


7747 


779 2 


7 838 


7 883 


79 28 


7974 


II 


49 


i8i 9 


i864 


i 9 o8 


i 9 53 


i 99 8 


2043 


10 


49 


8oi 9 


8o64 


8io 9 


8i55 


8200 


8245 


10 


5o 


10. 152087 


2l32 


2177 


2221 


2266 


23ll 


9 


5o 


io.i682 9 i 


8336 


838i 


8427 


8472 


85i 7 


9 


5i 


2356 


2400 


2445 


2/QO 


2535 


2579 


8 


5i 


8563 


8608 


8653 


86 99 


8 7 44 


8789 


8 


52 


2624 


266 9 


2713 


2 7 58 


28o3 


2848 


7 


52 


8835 


8880 


8 9 25 


8 97 i 


9 oi6 


9061 


7 


53 


28 9 2 


2 9 3 7 


2 9 82 


3027 


3o 7 i 


3n6 


6 


53 


9107 


9 l52 


9 i 97 


9 243 


9 288 


9 333 


6 


54 


3i6i 


3206 


325o 


32 9 5 


334o 


3385 


5 


54 


9 3 79 


9 4a4 


9 46 9 


9 5i5 


9 56o 


9605 


5 


55 


343o 


34 7 4 


35i 9 


3564 


36o 9 


3653 


4 


55 


9 65i 


9 6 9 6 


97 42 


9787 


9 832 


9878 


4 


56 


36 9 8 


3 7 43 


3 7 88 


3832 


38 77 


3922 


3 


56 


99 23 


99 68 




..5 9 


.io5 


.i5o 


3 


57 


3 9 6 7 


4OI2 


4o56 


4ioi 


4i46 


4191 


2 


57 


io.i 7 oi 9 5 


0241 


0286 


o33i 


o3 77 


0422 


2 


58 


4236 


4280 


4325 


4370 


44i5 


446o 


I 


58 


o468 


o5i3 


o558 


o6o4 


o64 9 


0695 


I 


5 9 


45o4 


454 9 


45 9 4 


463 9 


4684 


4728 


O 


5 9 


o 7 4o 


o 7 85 


o83i 


0876 


0922 


0967 


O 




60" 


50" 


40" 


30" 


20" 


10" 


d 




60" 


50" 


40" 


30" 


20" 


10" 


c 




Co-tangent of 35 Degrees. 


* 




Co-tangent of 34 Degrees. 


3 


p p . < 1" 2" 3" 4" 5" 6" 7" 8" 9" 
I 4 9 13 18 22 27 31 36 40 


P. Part J 5 "g 14 ig 23 27 32 36 41 



LOGARITHMIC SINES. 



A 


Sine of 56 Degrees. 




c 

IS 


Sine of 57 Degrees. 




2 


0" 


10" 


20" 


30" 


40" 50" 




s 


0" 


10" 


20" 


30" 


40" 


50" 




o 


9.918574 


8588 


86o3 


8617 


863i 8645 


5 9 





9 . 9 235 9 i 


36o5 


36i 9 


3632 


3646 


366o 


5 9 


i 


865 9 J86 7 4 


8688 


8 7 02 


8716 


8 7 3o 


58 


I 


36 7 3 


368 7 


3 7 oi 


37i4 


3 7 28 


3 7 42 


58 


2 


8 7 45 


8 7 5 9 


8 77 3 


8 7 8 7 


8801 


88i5 


5 7 


2 


3 7 55 


3 7 6 9 


3 7 83 


3 79 6 


38io 


38 2 4J5 7 


! 


883o 


8844 


8858 


88 7 2 


8886 


8900 


56 


3 


383 7 


385i 


3865 


38 7 8 


38 9 2 


3 9 o6!56 


4 


8 9 i5 
9000 


8929 
9012 


8 9 43 

9 O28 


8 9 5 7 

9 042 


8 9 7i 8 9 85 
9 o56 9 070 


55 

54 


L 

r. 


3 9 i 9 
4ooi 


3 9 33 
4oi5 


3 9 46 
4028 


3 9 6o 
4042 


3 97 4 
4o55 


3 9 8 7 
4o6 9 


r r 

j -j i 

54 


6 


9 o85 


9099 


9 n3 


9 I2 ? 


9 i4i 


9 i55 


53 


6 


4o83 


4o 9 6 


4no 


4124 


4i3 7 


4i5i 


53 


7 


9169 


9184 


9 i 9 8 


9 2I2 


9226^9240 


52 


1 


4i64 


4178 


4l 9 2 


42o5 


42I 9 


4232 


52 


8 


9254 


9268 


9 282 9 2 9 7 


9 3u 9 325 


5i 


8 


4246 


4260 


42 7 3 


4287 


43oo 


43i4 


5i 


9 


9 33 9 


9 353 


9 367 9 38i 


9 3 9 5 9 4io 


5o 


9 


4328 


434i 


4355 


4368 


4382 


43 9 6 


5o 


10 


9.919424 


9 438 


9 452 9 466 


9480 9494 


49 


10 


9 . 9 244o 9 


4423 


4436 


445o 


4464 


4477 


4 9 


ii 


95o8 


9 522 


9 53 7 


9 55i 


9565 9579 


48 


ii 


44 9 i 


45o4 


45i8 


453i 


4545 


455 9 


48 


12 

ivi 


9 5 9 3 
9677 


9607 

9692 


9 62I 

97 o6 


9 635 

97 20 


9649 9663 
97 34 9 748 


47 
46 


12 

i3 


45 7 2 
4654 


4586 
466 7 


45 99 
468 1 


46i3 
46 9 4 


4626 
4 7 o8 


464o 
4721 


4 7 

46 


iZ 


9762 


9776 


979 


9804 


9818 


9832 


45 


i4 


4 7 35 


4748 


4 7 62 


4776 


4 7 8 9 


48o3 


45 


j t 


9 846 


9860 


9 8 7 5 


9 88 9 


9903 


9917 


44 


i5 


48i6 


483o 


4843 


485 7 


48 7 o 


4884 


44 


16 


99 3i 


99 45 


99 5 9 


997 3 


9987 


... i 


43 


16 


48 97 


49" 


4924 


4 9 38 


4 9 5 2 


4 9 65 


43 


17 


9.920015 


0029 


oo43 


oo5 7 


0071 


oo85 


42 


"7 


4 9 79 


4 99 2 


5oo6 


5oi 9 


5o33 


5o46 


42 


18 


0099 


OIlS 


0127 


oi4i 


oi56 


OI 7 


4i 


18 


5o6o 


5073 


5o8 7 


5 1 oo 


5n4 


5127 


4i 


19 


0182 


0198 


O2I2 


0226 


0240 


O25^ 


4o 


I 9 


5i4i 


5i54 


5i68 


5i8i 


5i 9 5 


5208 


4o 


20 


9.920268 


0282 


O2 9 6 


o3io 


0324 


o338 


3 9 


20 


9 . 9 25222 


5235 


5249 


5262 


52 7 6 


528 9 


3 9 


21 


o352 


o366 


o38o 


o3 9 4 


o4o8 


0422 


38 


21 


53o3 


53i6 


533o 


5343 


535 7 


53 7 o 


38 


22 


o436 


o45o 


o464 


o4 7 8 


0492 


o5o6 


37 


22 


5384 


53 97 


54n 


5424 


5438 


545i 


37 


23 


O520 


o534 


o548 


o562 


o5 7 6 


oSgo 


36 


23 


5465 


5478 


5491 


55o5 


55i8 


5532 


36 


24 


o6o/! 


0618 


o632 


o646 


0660 


o6 7 4 


35 


24 


5545 


555 9 


55 7 2 


5586 


55 99 


56i3 


35 


25 


0688 


0702 


07160730 


o 7 44 


o 7 58 


34 


25 


5626 


564o 


5653 


5667 


568o 


56 9 3 


34 


26 


0772 


0786 


o8oo|o8i4 


0828 


0842 


33 


26 


5 77 


5720 


5 7 34 


5 7 4 7 


5 7 6i 


5 77 4 


33 


2 7 


o856 


0869 


o883 


0897 


0911 


0925 


32 


2 7 


5 7 88 


58oi 


58i4 


5828 


584i 


5855 


32 


28 


o 9 3 9 


o 9 53 


o 9 6 7 


0981 


o 99 5 


1009 


3i 


28 


5868 


5882 


58 9 5 


5 9 o8 


5 9 22 


5 9 35 


3i 


29 


IO22 


1037 


io5i 


io65 


1079 


1093 


3o 


2 9 


5 9 4 9 


5 9 62 


5 97 6 


5 9 8 9 


6OO2 


6016 


3o 


3o 


9.921107 


II2I 


n34 


n48 


1162 


n 7 6 


2 9 


3o 


9 . 9 26O2 9 


6o43 


6o56 


6o6 9 


6o83 


6096 


2 9 


3r 


1190 


1204 


1218 


1232 


I2 46 


1260 


28 


3i 


6110 


6i23 


6i36 


6i5o 


6x63 


6177 


28 


32 


1274 


1288 


1302 


i3i5 


I32 9 


1 343 


2 7 


32 


6i 9 o 


6 2 o3 


621-7 


623o 


6244 


625 7 


27 


33 


i35 7 


l37I 


i385 


i3 99 


i4i3 


l42 7 


26 


33 


62 7 


6284 


62 97 


63ii 


6324 


633 7 


26 


34 


i44i 


i455 


1 468 


1482 


1496 


i5io 


25 


34 


635i 


6364 


63 77 


63 9 i 


64o4 


64i8 


25 


35 


i524 


i538 


i55 2 


i566 


i58o 


i5 9 3 


24 


35 


643i 


6444 


6458 


64 7 i 


6484 


64 9 8 


24 


36 


1607 


1621 


i635 


i64 9 


i663 


1677 


23 


36 


65u 


65 2 5 


6538 


655i 


6565 


65 7 8 


23 


3? 


1691 


1704 


1718 


1732 


1746 


1760 


22 


3 '7 


65 9 i 


66o5 


6618 


663i 


6645 


6658 


22 


38 


1 77 4 


1788 


1802 


i8i5 i82 9 


i843 


21 


38 


66 7 i 


6685 


66 9 8 


6 7 n 


6 7 25 


6 7 38 


21 


3 9 


1857 


1871 


i885 


i8 99 i 9 i2 


1926 


2O 


3 9 


6 7 5i 


6 7 65 


6778 


6 79 i 


68o5 


6818 


20 


4o 


9.921940 


1954 


i 9 68 


198211995 


2009 


J 9 


4o 


9 . 926831 


6845 


6858 


68 7 i 


6885 


68 9 8 


X 9 


4i 


2023 


203 7 


2o5i 


2o65 2079 


2092 


18 


4i 


6 9 u 


6 9 25 


6 9 38 


6 9 5i 


6 9 65 


6978 


18 


42 


2106 


2I2O 


2i34 


2148 


2162 


2I 7 5 


'7 


42 


6991 


7oo5 


7018 


7 o3i 


7 o44 


7 o58 


1 7 


43 


2189 


2203 


2217 


223l 


2244 


2258 


16 


43 


707: 


7 o84 


7 o 9 8 


7 in 


7 I24 


7 i38 


16 


44 
45 


2272 
2355 


2286 

2 36 9 


23oo 

2383 


23i3 2327 
23 9 624io 


234i 
2424 


i5 

i4 


44 
45 


7 i5i 
7231 


7164 
7244 


7177 

7 25 7 


7 i 9 i 

7 2 7 


7 204 

7 284 


7 2I 7 
7297 


i5 

i4 


46 


2438 


2452 


2465 


247 9 24 9 3 


2507 


i3 


46 


73io 


7 324 


7337 


7 35o 


7 363 


7377 


i3 


47 


2520 


2534 


2548 


2562 2576 


2589 


12 


47 


7 3 9 o 


7 4o3 


74i6 


7 43o 


7 443 


7456 


12 


48 


26o3 


2617 


263i 


2644 2658 


2672 


II 


48 


7 4 7 o 


7483 


74 9 6 


7 5o 9 


7 5 2 3 


7 536 


II 


49 


2686 


2700 


2 ?I 3 


2727 2741 


2 7 55 


IO 


49 


7 54 9 


7 562 


7 5 7 6 


7 58 9 


7602 


7 6i5 10 


5o 


9.922768 


2782 


2 79 6 


28102823 


2 83 7 


9 


5o 


9 . 9 2 7 62 9 


7 642 


7 655 


7 668 


7 68i 


7 6 9 5 


9 


5i 


285i 


2865 


2878 


28 9 2 2 9 O6 


2920 


8 


5i 


77 o8 


772i 


7734 


77 48 


776i 


7774 


8 


52 


2 9 33 


2947 


2 9 6i 


2975 2988 


3002 


7 


52 


7787 


7 8oi 


7814 


7 82 7 


7 84o 


7 853 


7 


53 


3oi6 


3o3o 


3o43 


3o57 3071 


3o84 


6 


53 


7867 


7 88o 


793 


7906 


79 20 


79 33 


6 


54 


3o 9 8 


3lI2 


3i26 


3i3 9 3i53 


3167 


5 


54 


7946 


79 5 9 


797 2 


79 86 


7999 


8012 


5 


55 


3i8i 


3ig4 


3208 


3222 3235 


3 2 4 9 


4 


55 


8o25 


8o38 


8o5 2 


8o65 


8o 7 8 


8o 9 i 


4 


56 


3263 


3277 


32 9 O 


33o433i8 


333i 


3 


56 


8io4 


8118 


8i3! 


8i448i5 7 


8i 7 o 


3 


5 7 


3345 


335 9 


3372 


338634oo 


34i4 


2 


5 7 


8i838i 9 7 


8210 


8223J8236 


8249 


2 


58 


3427 


344 1 


3455 


348j3482 


3496 


I 


58 


8263 8276 


828 9 


83o283i5 


8828 i 


5 9 


35o 9 


35 2 3 


353 7 


355o 3564 


35 7 8 


O 


5 9 


834s 


8355 


8368 


838i 83 9 484o 7 i o 




60" 


50" 


40" 


30" 20" 


10" 


d 




60" 


50" 


40" 


30" 20" 10" 


e 




Co-sine of 33 Degrees. 







Co-sine of 32 Degrees. 


1 


.$1" 2" 3" 4" 5" 6" 7" 8" 9" 


P Pnrt5 1/ ~" 3// 4// 5 " 6 " 7 " 8" 9 " 


irt } 1 3 4 6 7 8 10 11 13 


r.ranj i 3 4 5 7 8 9 n 12 



LOGARITHMIC TANGENTS. 



8) 



A 


Tangent of 56 Degrees. 




.3 


Tangent of 57 Degrees. 




ji 


0" 


10" 


20" 


30" 


40" | 50" 




n 


0" 


10" 


20" 


30" | 40" | 50" 




o 


10. 171013 


io58 


no3 


1149 


1194 


I24o 


5 9 





10.187483 


7 52 9 


7 5 7 5 


7621 


7667 


7713 


5 9 


I 


1285 


i33i 


i3 7 6 


1421 


i46 7 


l5l2 


58 


i 


77 5 9 


7 8o5 


7 85i 


7898 


7944 


799 


58 


2 


i558 


i6o3 


i64 9 


1694 


i 7 3 9 


i 7 85 


57 


2 


8o36 


8082 


8128 


8174 


82208267 


5? 


3 


i83o 


i8 7 6 


I 9 2I 


J 9 6 7 


2OI2 


ao58 


56 


3 


83i3 


835 9 


84o5 


845 1 


8497 


8543 


56 


4 


2103 


2149 


2I 9 4 


2239 


2285 


233o 


55 


4 


85 9 o 


8636 


8682 


8728 


8 77 4 


8820 


55 


5 


23 7 6 


2421 


246 7 


25l2 


2558 


26o3 


54 


5 


8866 


8 9 i3 


8 9 5 9 


9005 


9 o5i 


9097 


54 


6 


2649 


2694 


2 7 4o 


2 7 85 


283i 


28-76 


53 


6 


9 i43 


9190 


9 236 


9282 


9328 


9 3 7 4 


53 


7 


2 9 22 


2 9 6 7 


3oi3 


3o58 


3io4 


3i49 


52 


7 


9 420 


9467 


9 5i3 


9 55 9 


9 6o5 


9 65i 


52 


8 


3i 9 5 


324o 


3 2 86 


333i 


33 77 


3422 


5i 


8 


9 6 9 8 


9744 


9-790 


9 836 


9882 


9929 


5i 


9 


3468 


35i3 


355 9 


36o4 


365o 


36 9 5 


5o 


9 


997 5 


. .21 


..67 


.n3 


.160 


.206 


5o 


10 


10. 173741 


3 7 86 


3832 


38 77 


3 9 23 


3968 


49 


10 


10. 190252 


0298 


o344 


0391 


o43 7 


o483 


49 


ii 


4oi4 


4o6o 


4io5 


4i5i 


4196 


4242 


48 


1 1 


0529 


o5 7 6 


0622 


0668 


o 7 i4 


0760 


48 


12 


4287 


4333 


43 7 8 


4424 


446 9 


45i5 


47 


12 


0807 


o853 


0899 


o 9 45 


0992 


io38 


47 


i3 


456i 


46o6 


465 2 


46 97 


4 7 43 


4 7 88 


46 


i3 


io84 


n3o 


1177 


1223 


1269 


i3i5 


46 


i4 


4834 


488o 


4 9 25 


49 7 i 


5oi6 


5o6 2 


45 


i4 


i362 


i4o8 


i454 


i5oi 


1 547 


i5 9 3 


45 


i5 


5107 


5i53 


5i 99 


5244 


5290 


5335 


44 


i5 


i63 9 


1686 


I 7 32 


1778 


1824 i8 7 i 


44 


16 


538i 


542 7 


54 7 2 


55i8 


5563 


56o 9 


43 


16 


1917 


i 9 63 


2010 


2o56 


2102 


2l4 9 


43 


17 


5655 


5 7 oo 


5 7 46 


5 79 i 


583 7 


5883 


42 


17 


2195 


224l 


2287 


2334 


238o 


2426 


42 


18 


5928 


59 7 4 


6oi 9 


6o65 


6m 


6i56 


4i 


18 


24?3 


2519 


2565 


2612 


2658;2 7 o4 


4i 


19 


6202 


624 7 


62 9 3 


633 9 


6384 


643o 


4o 


*9 


2751 


2797 


2843 


2890 


2 9 36 2982 


4o 


20 


10.176476 


652i 


656 7 


66i3 


6658 


6 7 o4 


3 9 


20 


10. 193029 


3075 


3l2I 


3i68 


32l4 


3260 


3 9 


21 


6 7 49 


6 79 5 


684 1 


6886 


6932 


6978 


38 


21 


3307 


3353 


3399 


3446 


3492 


3538 


38 


22 
23 


7023 

7297 


7 o6 9 

7 343 


7 n5 
7 38 9 


-7160 

7 434 


7 206 

7 48o 


7252 
7526 


3? 
36 


22 
23 


3585 
3863 


363i 
3909 


36 7 8 
3 9 56 


3724 

40O2 


3 77 o38i 7 
4o4 9 4o 9 5 


37 
36 


24 


7 5 7 i 


7 6l 7 


7 663 


77 o8 


77 54 


7800 


35 


24 


4i4i 


4i88 


4234 


4281 


432 7 


43 7 3 


35 


25 


7 846 


7 8 9 i 


79 3 7 


79 83 


8028 


8074 


34 


25 


4420 


4466 


45i3 


4559 


46o5 


4652 


34 


26 


8120 


8i65 


8211 


8 2 5 7 


83o3 


8348 


33 


26 


46 9 8 


4?45 


4791 


483 7 


4884 


4 9 3o 


33 


27 


83 9 4 


844o 


8485 


853i 


85 77 


8623 


32 


27 


4977 


5o23 


5070 


5n6 


5i62 


520 9 


32 


28 


8668 


8 7 i4 


8 7 6o 


88o5 


885i 


8897 


3i 


28 


5255 


53o2 


5348 


53 9 5 


544 1 


548 7 


3i 


29 


8 9 43 


8988 


9034 


9 o8o 


9126 


9171 


3o 


2 9 


5534 


558o 


5627 


56 7 3 


5 7 20 


5766 


3o 


3o 


IO. I 79 2I 7 


9 263 


9 3o 9 


9 354 


9400 


9446 


29 


3o 


IO. I958l3 


585 9 


5906 


5952 


5 999 


6o45 


2 9 


3i 


9 4 9 2 


9 53 7 


9 583 


9 62 9 


9 6 7 5 


9720 


28 


3i 


6091 


6i38 


6i84 


&23l 


62 77 


6324 


zS 


32 


97 66 


9812 


9 858 


99 o4 


9949 


999 5 


27 


32 


6370 


6417 


6463 


65io 


655666o3 


27 


33 


10. i8oo4i 


008-7 


Ol32 


01-78 


0224 


0270 


26 


33 


6649 


6696 


6742 


6789 


6835 6882 


26 


34 


o3i6 


o36i 


o4o 7 


o453 


o4 99 


o545 


25 


34 


6928 


6975 


7021 


7068 


7 n4 7161 


25 


35 


0590 


o636 


0682 


7 28 


o 77 4 


0819 


24 


35 


7208 


7254 


73oi 


7347 


739417440 


24 


36 


o865 


0911 


o 9 5 7 


ioo3 


io48 


1094 


23 


36 


7 48 7 


7 533 


7 58o 


7626 


76737719 


23 


37 


n4o 


1186 


1232 


I2 7 8 


i3 2 3 


1 369 


22 


37 


7766 


7 8i3 


7 85 9 


7906 


79 52 7 999 


22 


38 


i4i5 


i46i 


i5o 7 


i553 


i5 9 8 


1 644 


21 


38 


8o45 


8092 


8i38 


8i85 


8232 


8278 


21 


3 9 


1690 


i 7 36 


I 7 82 


1828 


i8 7 4 


1919 


20 


3 9 


83 2 5 


8371 


84i8 


8465 


85n 


8558 


2O 


4o 


10. 181965 


2OII 


2o5 7 


2103 


2l4 9 


2195 


I 9 


4o 


10. 198604 


865i 


8697 


8 7 44 


8 79 i 


883 7 


19 


4i 


2241 


2286 


2332 


23 7 8 


2424 


2470 


18 


4i 


8884 


8 9 3o 


8977 


9024 


9 o 7 o 


9 n 7 


18 


42 


25i6 


2562 


2608 


2653 


2699 


2 7 45 


17 


42 


9164 


9210 


9 25 7 


9 3o3 


9 35o 


9397 


17 


43 


2 79 I 


283 7 


2883 


2 9 2 9 


2 97 5 


3021 


16 


43 


9443 


9490 


9 53 7 


9 583 


9 63o 




16 


44 


3o6 7 


3lI2 


3i58 




325o 


3296 


i5 


44 


9723 


9770 


9 8i6 


9 863 


99 io 


99 56 


i5 


45 


3342 


3388 


3434 


348o 


3526 


35 7 2 


i4 


45 


IO.2OOOO3 


oo5o 


oo 9 6 


oi43 


0190 


0236 


i4 


46 


36i8 


3664 


3-709 


3 7 55 


38oi 


3847 


i3 


46 


0283 


o33o 


o3 7 6 


0423 


0470 


o5i6 


i3 


47 


38 9 3 


3 9 3 9 


3 9 85 


4o3i 


4o 77 


4i23 


12 


47 


o563 


0610 


o656 


0703 


0780 


07 9 6 


12 


48 


4169 


42i5 


4261 


43o 7 


4353 


43 99 


II 


48 


o843 


0890 


o 9 3 7 


o 9 83 


io3o 


1077 


II 


49 


4445 


4491 


453 7 


4583 


4629 


46 7 4 


10 


49 


1123 


1170 


I2I 7 


1263 


i3io 


i35 7 


10 


5o 


IO. l84 7 2O 


4 7 66 


4812 


4858 


4 9 o4 


4 9 5o 


9 


5o 


I0.20l4o4 


i45o 


i4 97 


1 544 


i5 9 i i63 7 


9 


5i 


4996 


5o42 


5o88 


5i34 


5i8o 


5 22 6 


8 


5i 


1 684 


1731 


I 77 7 


1824 


1871 1918 


8 


52 


52 7 2 


53i8 


5364 


54io 


5456 


55o2 


7 


52 


1964 


2OII 


2o58 


2io5 


2i5i 2198 


7 


53 


5548 


55 9 4 


564o 


5686 


5 7 3 2 


5 77 8 


6 


53 


2245 


2292 


2338 


2385 


2432 2479 


6 


54 


5824 


58 7 i 


591-7 


5 9 63 


6oo 9 


6o55 


5 


54 


2526 


2572 


26l 9 


2666 


2713 2759 


5 


55 


6101 


6i4 7 


6193 


623 9 


6285633i 


4 


55 


2806 


2853 


2 9 00 


2 9 47 


2 9 93|3o4o 


4 


56 


63 77 


6423 


6469 


65i5 


656i 66o 7 


3 


56 


3087 


3i34 


3i8i 


3227 


32 7 4332i 


3 


57 


6653 


66 99 


6745 


6 7 9i 


683 7 


6884 


2 


5? 


3368 


34i5 


346i 


35o8 


35553602 


2 


58 


6930 


6 97 6 


7 O22 


7 o68 


7114 


7160 


I 


58 


364 9 


36 9 6 


3742 


3 7 8 9 


3836|3883 


I 


5 9 


7206 


7 252 


7 2 9 8 


7 344 


7 3 9 o 


743 7 





5 9 


3 9 3o 


3 9 77 


4023 


4070 


4ii74i64 


O 




60" 


50" 


40" 


30" 


20" 10" 


j 




60" 50" 


40" 


30" 


20" 10" 


j 




Co-tangent of 33 Degrees. 







Co-tangent of 32 Degrees. 





P P t$ l " 2 " 3// 4 " 5 " 6// 7 " 8 " 9 " 


(1" 2" 3" 4" 5" 6" 7" S" 9" 


I 5 9 14 18 23 27 32 37 41 


' art { 5 9 14 19 23 28 33 37 42 



LOGARITHMIC SINES. 



1 

.a 


Sine of 58 Degrees. 




c 


Sine of 59 Degrees. 




9 


0" [ 10" 


20" 30" 


40" 


f50" 







0" 10" 


20" 


30" 


40" 


50" 







9.928420(8434 


8447 8460,8473 


8486 59 


0,9. 933o66 ; 3o78 


3o 9 i 


3io4 


3n6 


3129 


5o 


I 


8499 85i3;8526853 9 855 2 


856558 


I 


3i4i 3i54 


3i6 7 


3i79 


3192 


3 2 o5 58 


2 


85 7 8 8591 


86o586i8863i 


8644 5 7 


2 


32i 7 323o 


3243 


3 2 55 


3268 


3 2 8o 5 7 


3 
4 


865 7 86 7 o;8683 8696 8 7 io 
87868749 8762 8775 8788 


8 7 23j56 

8801 55 


3 

4 


32 9 3|33o6 
336 9 338i 


33i8 
33 9 4 


333i 

34o 7 


3344 
3419 


3356 
3432 


56 
55 


5 


88i5i88 2 8884i 8854 


886 7 


888o;54 


5 


3445 


345 7 


34 7 o 


3482 


3495 


35o8 


54 


6 


8893 8906 8919 8933 8946 SgSg 53 


6 


3520 


3533 


3545 


3558 


35 7 i 


3583 


53 


7 


8972 


8985 8998 9011 


9024 9 o3 7 52 


7 


35 9 6 


36o8 


362i 


3633 


3646 


365 9 


52 


8 
9 


9129 


9063 9077 9090 9 103:911 6' 5 1 
9142 9i55 9168 9181 9194150 


8 
9 


36 7 i 
3 7 4 7 


3684 
3 7 5 9 


36 9 6 
3 77 2 


3 7 o 9 

3 7 84 


3722 
3 797 


3 7 34 
38io 


5i 

5o 


10 


9.929207 


9220 9233 924^9260 9273149 


10 


9.933822 


3835 


384 7 


386o 


3872 


3885 


49 


ii 


9286 


9299 9312 9325 9338 


9 35i48 


ii 


3898(3910 


3 9 23 


3 9 35 


3 9 48 


3960 


48 


12 


9 364 


9377 9390 9403 9416 9429^7 


12 


3 97 3 


3 9 85 


3 99 8 


4on 


4o 2 3 


4o36 


47 


i3 


9442 


9 455 9468 9482 9 4 9 5 


9 5o846 


i3 


4o48 


4o6i 


4o 7 3 


4o86 


4o 9 8 


4in 


46 


i4 


9521 


9534 95479560 9573 


9 586 ! 45 


i4 


4l23 


4i36 


4i48 


4i6i 


4i74 


4i86 


45 


i5 


9 5 99 


9612 962596389651 


9664 44 


i5 


4199 


4211 


4224 


4236 


4249 


4261 


44 


16 


9677 


9690 9703 9716 9729 


9742J43 


16 


42 7 4 


4286 


4299 


43n 


4324 


4336 


43 


'7 


9755 


9768 9781 97949807 


9820 42 


17 


4349 


436i 


43 7 4 


4386 


43 99 


44" 


42 


18 


9833 


9846 9859^9872 9885 


o8o84i 


18 


4424 


4436 


4449 


446 1 


4474 


4486 


4i 


19 


9911 


9924 


99379950 


9963997640 


'9 


4499 


45u 


4524 


4536 


4549 


456i 


4o 


20 


9.929989 


. . .2 


..i5 ..28 


. .41 


..543 9 


20 


9- 9 345 7 4 


4586 


4599 


46n 


4624 


4636 


3 9 


21 


9.930067 


0080 0093 0106 oi 19 


oi32'38 


21 


4649 


466i 


46 7 4 


4686 


4699 


4711 


38 


22 


oi45 


oi58 0171 oi84 


0197 0210)37 


22 


4 7 23 


4 7 36 


4 7 48 


4761 


4773 


4786 


37 


23 


O223 


O236 0249 2 62 


0274 0287 36 


23 


4 7 98 


48n 


4823 


4836 


4848 


486i 


36 


24 
25 


o3oo 
o3 7 8 


o3i3 0326 0339 
0391 04040417 


o352 ! o365 
o43oo443 


35 
34 


24 
25 


48 7 3 
4948 


4885 
4 9 6o 


4898 
4 97 3 


4910 
4985 


4 9 23 

4997 


4 9 35 
5oio 


35 
34 


26 


o456 


0469 0482 0495 0507 o52O 


33 


26 


5O22 


5o35 


5o4 7 


5o6o 


5072 


5o84 


33 


27 
28 
29 


o533 
06 1 1 
0688 


o546 0559 5 7 2 585 598 
0624 o63 7 |o65o!o663jo6 7 5 
0701 0714 0727 0740 0753 


32 

3i 
3o 


27 
28 
29 


5<>97 
5i 7 i 
5246 


5io 9 
5i84 
5 2 58 


5l22 

5i 9 6 

52 7 I 


5i34 
5209 
5283 


5i47 

5221 
5296 


5i5 9 
5234 
53o8 


32 

3i 
3o 


3o 


0.930766 


07790792 


o8o4o8i 7 'o83o 


29 


3o 


9 . 9 3532o 


5333 


5345 


5358 


53 7 o 


538 2 


2 9 


3i 


o843 


o856 0869 


0882 


o8 9 5 


0908 


28 


3i 


53 9 5 


54o 7 


5420 


5432 


5444 


545 7 


28 


32 


0921 


0933 0946 


o 9 5 9 


o 97 2 


0985 


27 


32 


546 9 


5482 


54 9 4 


55o6 


55i 9 


553i 


27 


33 


0998 


101 I 


1024 


io36 


io4 9 


1062 


26 


33 


5543 


5556 


5568 


558i 


55 9 3 


56o5 


26 


34 


1075 


1088 


IIOI 


in4 


1127 


1 1 39 


25 


34 


56i8 


563o 


5642 


5655 


566 7 


5679 


25 


35 


1x5* 


n65 


1178 


1191 


I2O4 


1217 


24 


35 


5692 


5 7 o4 


5 7 i 7 


5729 


5741 


5 7 54 


24 


36 


1229 


1242 


1255 


1268 


1281 


1294 


23 


36 


5 7 66 


5778 


5 79 i 


58o3 


58i5 


58 2 8 


23 


37 


i3o6 


i3i 9 


i332 


1 345 


i358 


1371 


22 


37 


584o 


5852 


5865 


58 77 


588 9 


5902 


22 


38 


1383 


i3 9 6 


1409 


l422 


i435 


1 448 


21 


38 


5 9 i4 


5 9 26 


5 9 3 9 


5 9 5i 


5 9 63 


5 97 6 


21 


3 9 


i46o 


i4 7 3 


i486 


1499 


I5l2 


i5 2 5 


2O 


3 9 


5 9 88 


6000 


6oi3 


6o25 


6o3 7 


6o5o 


2O 


4o 


9 . 9 3i53 7 


i55o 


i563 


i5 7 6 


i58 9 


1601 


'9 


4o 


9 . 9 36o62 


6o 7 4 


6o8 7 


6099 


61 1 1 


6124 


9 


4i 


1614 


1627 


i64o 


i653 


1666 


1678 


18 


4i 


6i36 


6i48 


6161 


6i 7 3 


6i85 6198 


1 8 


42 


i6 9 i 


1704 


1717 


i 7 3o 


1742 


i 7 55 


17 


42 


6210 


6222 


6234 


6247 


6259:6271 


17 


43 


1768 


1781 


1794 


1806 


1819 


i832 


16 


43 


6284 


62 9 6 


63o8 


6320 


63336345 


16 


44 


i845 


i85 7 


1870 


i883 


1896 


1909 


i5 


44 


635 7 


63 7 o 


6382 


63 9 4 


6406.6419 


i5 


45 


I 9 2I 


i 9 34 


1947 


1960 


1972 


I9 85 


i4 


45 


643 1 


6443 


6456 


6468 


648o 


6492 


i4 


46 


I 99 8 


2OII 


2024 


2o36 


2049 2062 


i3 


46 


65o5 


65i 7 


652 9 


6542 


6554 


6566 


i3 


47 


2075 


2087 


2100 


2Il3 


2I262I38 


12 


47 


65 7 8 


65 9 i 


66o3 


66i5 


6627 


664o 


12 


48 


2l5l 


2 1 64 


2177 


2189 


2202 


22l5 


ii 


48 


665s 


6664 


66 7 6 


668 9 


6701 


6 7 i3 


I I 


49 


2228 


2240 2253 


2266 


2279 


2291 


10 


49 


6 7 25 


6 7 38 


6 7 5o 


6762 


6 77 4 


6787 


IO 


5o 


9 . 9 323o4 


2317 


2329 


2342 


2355 


2368 


9 


5o 


9.986799 


6811 


6823 


6836 


6848 


6860 


9 


5i 

52 

53 


238o 
245 7 
2533 


23 9 3 
2469 
2546 


2406 
2482 
2 558 


2419 243i 2444 

2495|25o8 2520 

25 7 i 2584 259-7 


8 
6 


5i 

52 

53 


68 7 2 6884 
6 9 46j6 9 58 
7 oi 9 7 o3i 


6897 
6 9 7o 


6909 
6982 
7 o56 


6921 6933 
6994^007 
706817080 


8 
6 


54 


26o 9 


2622 


2635 


264 7 


26602673 


5 


54 


7 o 9 2 


7 io4 


71 17 7129 7141 7i53 


5 


55 
56 


2685 
2762 


2698 
2774 


271 1 
2787 


2 7 24 2 7 36 2 7 4 9 
2800 2812 2825 


4 
3 


55 
56 


7 i65 7 i 7 8 
7 238 7 25i 


7190 720217214 7226 
72637275 72877299 


4 
3 


5 7 


2838 


285o 2863 


2 8 7 6 


2888 2901 


2 


57 


731273247336734873607372 2 


58 


2914 


2926 


2939 


2952 


2964 2977 


I 


58 


7385 7397 7409 7421 7433 7446 i 


5 9 


2990 


3002 


3oi5 


3028 


3o4o 3o53 


o 


5 9 


7458 7470:7482 7494 7506:75 1 S 




60" 


50" 


40" 30" 


20" 


10" 


a 




60" 50" 40" i 30" 20" 10" ^ 




Co-sine of 3 1 Degrees. 


S 




Co-sine of 30 Degrees. s ! 


P Part S !" ~" 3 " 4 " 5 " 6 " 7 " 


8" 9" 


o T> -* U" 2" 3" 4" 5" 6" 7" 8" 3" 


"^13456 


8 9 


10 12 ut ) 1 2 4 5 6 7 9 10 11 



LOGARITHMIC TANGENTS. 



1 


Tangent of 58 Degrees. 




c 


Tangent of 59 Degrees. 




a 


0" 


10" 20" 


30" 


40" 


50" 




2 


0" 


10" 


20" 


30" 


40" 


50" 




O 


10.204211 


4258 


43o4 


435i 


43 9 8 


4445 


5o 





10.221226 


I2 7 4 


1322 


i36 9 


i4i 7 


i465 


5 9 


i 


44 9 2 


453 9 


4586 


4633 


467 9 


4 7 26 


58 


I 


l5l2 


i56o 


1608 


i656 


I 7 o3 


i 7 5i 


58 


2 


4 77 3 


4820 


486 7 


4914 


4 9 6i 


5oo8 


5? 


2 


I 799 


1 846 


i8 9 4 


I 9 42 


i 99 o 


2037 


57 


3 


5o54 


5ioi 


5i48 


5i 9 5 


5242 


528 9 


56 


3 


2o85 


2i332i8i 


2228 


22 7 6 


2324 


56 


4 


5336 


5383 


543o 


54 77 


55 2 4 


55 7 o 


55 


4 


23 7 2 


94199467 


25i5 


2563 


26lO 


55 


5 


56i 7 


5664 


5 7 n 


5 7 58 


58o5 


585 2 


54 


5 


2658 


2 7 o6 


2 7 54 


2801 


2 84 9 


2807 


54 


6 


58 99 


5 9 46 


5 99 3 


6o4o 


6087 


6i34 


53 


6 


2 9 45 


2 99 3 


3o4o 


3o88 


3i36 


3i84 


53 


7 


6181 


6227 


62 7 4 


632i 


6368 


64i5 


52 


7 


3232 


32 79 


3327, 


33 7 5 


3423 


34 7 i 


5 2 


8 


6462 


65o 9 


6556 


66o3 


665o 


66 97 


5i 


8 


35i8 


3566 


36i? 


3662 


3 7 io 


3 7 5 7 


5i 


9 


6 7 44 


6791 


6838 


6885 


6. 9 32 


6979 


5o 


9 


38o5 


3853 


3 9 oi 


3 9 4 9 


3 997 


4o44 


5o 


10 


10.207026 


7073 


7 I20 


7 i6 7 


72i4 


7261 


4 9 


10 


IO.224o 9 2 


4i4o 


4i88 


4236 


4284 


4332 


4 9 


ii 


73o8 


7 355 


7 402 


7 44 9 


74 9 6 


7543 


48 


II 


4379 


442 7 


4475 


4523 


45 7 i 


46 1 9 


48 


12 


7 5 9 o 


7 63 7 


7 684 


77 3i 


7778 


7825 


4 7 


12 


466 ? 


4 7 i4 


4762 


48io 


4858 


4 9 o6 


47 


i3 


7872 


7919 


7 9 66 


8oi3 


8060 


8107 


46 


i3 


4 9 54 


5002 


5o5o 


5o 9 8 


5i45 


5i 9 3 


46 


i4 


8i54 


8201 


8248 


82 9 5 


8342 


838 9 


45 


i4 


5241 


528 9 


533 7 


5385 


5433 


548 1 


45 


i5 


843 7 


8484 


853! 


85 7 8 


8625 


86 7 2 


44 


i5 


552 9 


55 77 


5625 


56 7 2 


5 7 20 


5 7 68 


44 


16 


8 7 I 9 


8766 


88i3 


8860 


80.07 


8 9 54 


43 


16 


58i6 


5864 


5 9 I2 


5 9 6o 


6008 


6o56 


43 


I 7 


9001 


9048 


9 o 9 5 


9 i43 


9 i 9 o 


9 23 7 


42 


17 


6io4 


6i52 


6200 


6248 


62 9 6 


6344 


42 


18 


9284 


9 33i 


9 3 7 8 


9 425 




9 5i 9 


4i 


18 


63 9 2 


6440 


6488 


6535 


6583 


663i 


4i 


i 9 


9 566 


9614 


9661 


97 o8 


97 55 


9 8o2 


4o 


i 9 


66 79 


6727 


6 77 5 


68 2 3 


68 7 i 


6 9 i 9 


4o 


20 


10.209849 


9896 


99 43 


999 T 


..38 


..85 


3 9 


20 


io.226 9 67 


7Oi5 


7 o63 


7111 


7 i5 9 


7 20 7 


3 9 


21 


IO.2IOI32 


0179 


0226 


02 7 3 


0321 


o368 


38 


21 


7 255 


7 3o3 


7 35i 


7399 


7 44 7 


7 4 9 5 


38 


22 


o4i5 


0462 


0509 


o556 


o6o3 


o65i 


3y 


22 


7543 


7 5 9 i 


7 63 9 


7 688 


7736 


77 84 


37 


23 


0698 


o 7 45 


7 92 


o83 9 


0886 


o 9 34 


36 


23 


7832 


7880 


79 28 


7976 


8024 


8o 7 2 


36 


24 


0981 


1028 


io 7 5 


1122 


1170 


I2I 7 


35 


24 


8120 


8168 


8216 


8264 


83i2 


836o 


35 


25 


1264 


i3n 


i358 


i4o5 


i453 


i5oo 


34 


25 


84o8 


8456 


85o4 


8552 


8601 


864 9 


34 


26 


i54 7 


i5 9 4 


i64i 


i68 9 


1736 


i 7 83 


33 


26 


86 97 


8 7 45 


8 79 3 


884i 


888 9 


8 9 3 7 


33 


2 7 


i83o 


1878 


1925 


I 97 2 


2OI 9 


2066 


32 


2 7 


8 9 85 


9 o33 


9 o8i 


9 i3o 


9178 


9 226 


32 


28 


2114 


2161 


2208 


2255 


23o3 


2 35o 


3i 


28 


9 2 7 4 


9 322 


9 3 7 o 


9 4i8 


9 466 


9 5i5 


3i 


2 9 


23 97 


2444 


2492 


253 9 


2586 


2633 


3o 


2 9 


9 563 


9 6n 


9 65 9 


977 


97 55 


9 8o3 


3o 


So 


I0.2I268I 


2728 


2 77 5 


2822 


2870 


2 9 i 7 


29 


3o 


I0.22 9 852 


99 oo 


99 48 


999 6 


..44 


. .92 


2 9 


3i 


2964 


3OI2 




3io6 


3i53 


3201 


28 


3i 


io.23oi4o 


oi8 9 


023 7 


0285 


o333 


o38i 


28 


32 


3248 


32 9 5 


3343 


33 9 o 


3437 


3484 


2 7 


32 


o42 9 


o4 7 8 


o52<5 


o5 7 4 


0622 


o6 7 o 


2 7 


33 


3532 


35 79 


3626 


36 7 4 


3721 


3 7 68 


26 


33 


o 7 i 9 


0767 


o8i5 


o863 


o 9 n 


o 9 6o 


26 


34 


38i6 


3863 


3910 


3 9 58 


4oo5 


4o52 


25 


34 


1008 


io56 


no4 


Il52 


1201 


I24 9 


25 


35 


4ioo 


4i47 


4194 


4242 


428 9 


4336 


24 


35 


I2 97 


1 345 


i3 9 4 


1442 


l4 9 


i538 


24 


36 


4384 


443 1 


44 7 8 


4526 


45 7 3 


4620 


23 


36 


i586 


i635 


i683 


i 7 3i 


1779 


1828 


23 


3 7 


4668 


47'5 


4 7 62 


48io 


485 7 


4 9 o5 


22 


37 


i8 7 6 


I 9 24 


i 97 3 


2021 


2o6 9 


2II 7 


22 


38 


4952 


4999 


5o4 7 


5o 9 4 


5i4i 


5i8 9 


21 


38 


2166 


22l4 


2262 


23lO 


235 9 


240 7 


21 


3 9 


5236 


5284 


533i 


53 7 8 


5426 


54 7 3 


20 


3 9 


2455 


25o4 


2552 


26OO 


2648 


26 97 


2O 


4o 


IO.2l552I 


5568 


56i5 


5663 


5710 


5 7 58 


*9 


4o 


IO.232 7 45 


2793 


2842 


28 9 


2 9 38 


2 9 8 7 


1 9\ 


4i 


58o5 


5852 


5900 


5 9 4 7 


5 99 5 


6042 


18 


4i 


3o35 


3o83 


3i32 


3i8o 


3228 


32 77 


18 


42 


6090 


6i3 7 


6i84 


6232 


627 9 


632 7 


17 


42 


33 2 5 


3373 


3422 


34 7 o 


35i8 


356 7 


17 


43 


63 7 4 


6422 


6469 


65i 7 


6564 


6612 


16 


43 


36i5 


3663 


3 7 I2 


3 7 6o 


38o8 


385 7 


16 


44 


6659 


6706 


6 7 54 


6801 


684 9 


68 9 6 


i5 


44 


3 9 o5 


3 9 53 


40O2 


4o5o 


4o 99 


4i4 7 


i5 


45 


6944 


6991 


7 o3 9 


7 o86 


7i34 


7181 


i4 


45 


4i 9 5 


4244 


42 9 2 


434o 


438 9 


443 7 


i4 


46 


7229 


7276 


7 3 2 4 


7 3 7 i 


7419 


7 466 


i3 


46 


4486' 


4534 


4582 


463i 


467 9 


4728 


i3 


4 7 




7 56i 


7609 


7 656 


77o4 


77 5i 


12 


47 


4 77 6 


48 2 5 


48 7 3 


4 9 2I 


4 9 7Q 


5oi8 


12 


48 


7799 


7 846 


7 8 9 4 


79 4i 


79 8 9 


8o36 


II 


48 


5o6 7 


5n5 


5i64 


5212 


526o 


53o 9 


II 


49 


8o84 


8i3i 


8i79 


8226 


82 7 4 


8322 


10 


49 


535 7 


54o6 


5454 


55o3 


555i 


56oo 


IO 


5o 


10.218369 


84i7 


8464 


85i2 


855 9 


86o 7 


9 


5o 


10,235648 


56 9 6 


5 7 45 


5 79 3 


5842 


58 9 o 


9 


5i 


8654 


8702 


8 7 5o 


8797 


8845 


88 9 2 


8 


5i 


5 9 3 9 


5 9 8 7 


6o36 


6o84 


6i33 


6181 


8 


52 


8940 


8987 


9o35 


9083 


9 i3o 


9 i 7 8 


7 


52 


623o 


6278 


632 7 


63 7 5 


6424 


64 7 2 


7 


53 


9225 


9273 


9321 


9 368 


9 4i6 


9 463 


6 


53 


652i 


656 9 


6618 


6666 


6 7 i5 


6 7 63 


6 


54 


95n 


9 55 9 


9606 


9 654 


97 oi 


9749 


5 


54 


6812 


6860 


6 9 o 9 


6 9 5 7 


7006 


7 o55 


5 


55 


9797 


9844 


9892 


99 3 9 


9987 


..35 


4 


55 


7io3 


7i52 


7 20O 


7 24 9 


7297 


7 346 


4 


56 


10.220082 


oi3o 


oi 7 8 


0225 


02 7 3 


0321 


3 


56 


7 3 9 4 


7443 


7 4 9 2 


7 54o 


7 58 9 


7 63 7 


3 


67 


o368 


o4i6 


o463 


o5n 


o55 9 


0606 


2 


5y 


7686 


7734 


7783 


7 832 


7880 


79 2 9 


2 


58 


o654 


0702 


o 7 49 


797 


o845 


o8 9 2 


I 


58 


7977 


802^ 


8o 7 5 


8i23 


8172 


8220 


I 


5 9 


0940 


0988 


io36 


io83- 


n3i 


II 79 


O 


5 9 


8*69 


83i8 


8366 84i5 


8463 


85i2 


O 




60" 


50" 


40" 


30" 


20" 


10" 


. 




60" 50" 40" 30" 20" 


10" 


d 




Co-tangent of 31 Degrees. 


1 




Co-tangent of 30 Degrees. 


3 


PPartJ 1 " 2 " 3 " 4// 5 " 6 " 7 " 8// 9// 1 ppartJ 1 " 2 " 3 " 4// 5 " 6 " 7// 8// 9 " 
a "^ 5 9 14 19 24 28 33 38 43 | irt { 5 10 14 19 24 29 34 39 43 



LOGARITHMIC SINES. 



d 


Sine of 60 Degrees. 




a 


Sine of 61 Degrees. 




s 


0" 


10" 


20" 


30" 


40" 


50" 




Si 


0" 


10" 


20" | 30" 


40" 


50" 







9.937531 


7543 


7 555 


7 56 7 


7 5 79 


75 9 i 


5 9 


o 


9.941819 


i83i 


1843 


i854 


1866 


1878 


5 9 


I 


7604 


7616 


7 628 


7 64o 


7 652 


7664 


58 


I 


1889 


1901 


I9l3 


1924 


1936 


1948 


58 


2 


7676 


7689 


77 oi 


77 i3 


7725 


7737 


57 


2 


i 9 5 9 


i9 7 i 


i 9 83 


i 99 4 


2006 


2017 


5 7 


3 


774 9 


77 6i 


777 3 


7786 


7798 


7810 


56 


3 


2029 


2041 


2052 


2064 


20-76 


2087 


56 


4 


7822 


7834 


7 846 


7 858 


7 8 7 o 


7883 


55 


4 


2099 


2III 


2122 


2i34 


2146 


2157 


55 


5 


7 8 9 5 


7907 


79 Z 9 


79 3i 


7943 


7955 


54 


5 


2169 


2l8o 


2192 


22O4 


22l5 


2227 


54 


6 


7967 


7979 


7 992 8oo4 


80168028 


53 


6 


223 9 


2250 


2262 


22 7 3 


2285 


2297 


53 


7 


8o4o 


8o5 2 


8o64 8o 7 6 


80888100 


52 


7 


2 3o8 


2320 


233l 


2343 


2355 


2366 


52 


8 


8n3 


812$ 


81378149 


8161 


8i 7 3 


5i 


8 


2 3 7 8 


2 3 9 o 


24OI 


24i3 


2424 


2436 


5i 


9 


8i85 


8197 


8209^221 


82338245 


5o 


9 


2448 


245 9 


2471 


2482 


2494 


25o6 


5o 


10 


9.938258 


82-70 


8282^294 


83o683i8 


49 


10 


9.9425i 7 2529 


254o 


2552 


2563 


25 7 5 


4 9 


ii 


833o 


8342 


8354 


8366 


83 7 883 9 o 


48 


1 1 


258 7 25g8 


2610 


2621 


2633 


2645 


48 


12 


8402 


84i4 


84268439 


845i 8463 


47 


12 


26562668 


26 79 


26 9 I 


2-702 


2 7 i4 


47 


i3 


8475 


848 7 


8499 


85i i 


85238535 


46 


i3 


2 7 26 


2 7 3 7 


2749 


2760 


2 77 2 


2 7 83 


46 


i4 


8547 


855 9 


85 7 i 


8583 


85 9 5;86o 7 


45 


i4 


2795 


2806 


2818 


2 83o 


284l 


2853 


45 


i5 


8619 


863i 


86438655 


866 7 ! 86 7 9 


44 


i5 


2864 


28 7 6 


288 7 


2 8 99 


2910 


2922 


44 


16 


8691 


8 7 o3 


8 7 i5 


8 7 2 7 


8 7 3 9 8 7 5i 


43 


16 


2934 


2945 


2 9 5 7 


2 9 68 


2980 


2991 


43 


7 


8763 


8 77 6 


8 7 88 


8800 


88128824 


42 


'7 


3oo3 


3oi4 


3026 


3o3 7 


3o4g 


3o6o 


42 


18 


8836 


8848 


8860 88 7 2 


8884 8896 


4i 


18 


3o 7 2 


3o83 


3o 9 5 


3io 7 


3n8 


3i3o 


4i 


20 


8908 
9.938980 


8920 
8992 


8 9 32 
9004 


8 9 44 
9 oi6 


8956:8968 
902819040 


4o 
39 


20 


3i4i 
9.943210 


3i53 

3222 


3i64 
3233 


3i 7 6 
3245 


3i8 7 
3256 


3i 99 
3268 


4o 
39 


21 
22 


9123 


9064 
9 i35 


9o 7 69o8 7 9099 9 in 
9147 9159 9i7ifoi83 


38 
37 


21 
22 


3279 
3348 


32 9 I 

336o 


3302 
33 7 i 


33i4 
3383 


3325 
33 9 4 


333 7 
34o6 


38 
37 


23 


9 i 9 5 


9 20 7 


9219 9231 


9243 


9 255 


36 


23 


34i7 


342 9 


344o 


3452 


3463 


34 7 5 


36 


24 


9267 


9 2 79 


9291 


9 3o3 


9 3i5 


9327 


35 


24 


3486 


34 9 8 


35o 9 


352i 


3532 


3543 


35 


25 


9 33 9 


9 35i 


93639375 


93879399 


34 


2 5 3555 


3566 


35 7 8 


358 9 


36oi 


36i2 


34 


26 


9 4io 


9 422 


94349446 


9458 94-70 


33 


26 


3624 


3635 


3647 


3658 


36 7 o 


368i 


33 


27 


9482 


9 4 9 4 


95069518 


95309542 


32 


27 


3693 


3 7 o4 


3 7 i5 


3 7 2 7 


3 7 38 


3 7 5o 


32 


28 


9 554 


9 566 


95789590 


9601 9613 


3i 


28 


3 7 6i 


3 77 3 


3 7 84 


3796 


38o 7 


38i8 


3: 


29 


9625 


9 63 7 


9649 9661 


9673 9 685 


3o 


29 


383o 


384i 


3853 


3864 


38 7 6 


388 7 


3o 


3o 
3i 


9.939697 
9768 


9709 
9780 


9721 97 33 

979 2 9804 


97449756 

98169828 


29 

28 


3o 
3i 


9.943899 
3967 


3 9 io 

3978 


3921 
3990 


4oov 


3 9 44 
4oi3 


3 9 56 
4024 


29 

28 


32 


9840 


9852 


9 863 98-75 


9887 9899 


27 


32 


4o36 


4047 


4o58 


4070 


4o8i 


4o 9 3 


27 


33 


9911 


9923 


9935 9947 


99 5 9 997 


26 


33 


4io4 


4u5 


4127 


4i38 


4i5o 


4i6i 


26 


34 


9982 


9994 


...6 


..18 


. ,3o 


..42 


25 


34 


4172 


4i84 


4i 9 5 


4207 


4218 


4229 


25 


359.940054 


oo65 


0077 0089 oioi 


oii3 


24 


35 


4241 


4252 


4264 


42 7 5 


4286 


4298 


24 


36 oi25 


0/37 


oi48 0160 oi 7 2 


oi84 


23 


36 


43o 9 


432i 


4332 


4343 


4355 


4366 


23 


371 0196 


0208 


O22O O23l 


0243 


0255 


22 


3 7 


43 77 


438 9 


44oo 


44i2 


4423 


4434 


22 


38 0267 


0279 


0291 


oTo> o3l4 


o326 


21 


38 


4446 


445 7 


4468 


448o 


44 9 i 


45o3 


21 


3 9 o338 


o35o 


o362 


o3 7 4o385 


o3 9 7 


2O 


3 9 


45i4 


45 2 5 


453 7 


4548 


455 9 


45 7 i 


2O 


4o 9 . 9 4o4o 9 


0421 


o433 o445 o456 


o468 


1 9 


4o 


9.944582 


45 9 3 


46o5 


46i6 


46 27 


463 9 


I 9 


4i 


o48o 


0492 


o5o4 


o5i6o5a 7 


o53 9 


18 


4i 


465o 


466 1 


46 7 3 


4684 


46 9 6 


4707 


18 


42 


o55i 


o563 


o5 7 5 


o586 o5 9 8 


0610 


17 


42 


4718 


4 7 3o 


4 7 4i 


4 7 5 2 


4 7 64 


4 77 5 


17 


43 


0622 


o634 


o645 o65 7 0669 


0681 


16 


43 


4786 


4798 


4809 


4820 


483i 


4843 


16 


44 
45 


0693 
o 7 63 


o 7 o4 
o 77 5 


o 7 i6 0728 0740 
0787^0799 081 1 


0752 
0822 


i5 
i4 


44 
45 


4854 
4922 


4865 
4933 


48 7 7 
4945 


4888 
4g56 


48 99 
4967 


4911 
4979 


i5 

i4 


46 


o834 


o846 


o858o8 7 o 


0881 


o8 9 3 


i3 


46 


4990 


5ooi 


5oi3 


5o24 


5o35 


5o46 


i3 


47 


ogoS 


o 9 i 7 


0928 0940 


0952 


0964 


12 


47 


5o58 


5069 


5o8o 


5092 


5io3 


5n4 


12 


48 


97 5 


o 9 8 7 


0999 

' ' * 


IOII 


1023 


io34 


II 


48 


5i25 


5i3 7 


5i48 


5i5 9 


5171 


5i82 


II 


49 


io46 


io58 


10-70 


1081 


1093 


no5 


10 


49 


5i 9 3 


52o4 


52i6 


522-7 


5 2 38 


5 2 5o 


IO 


5o 


9.941117 


1128 


n4o 


Il52 


n64 


u 7 5 


9 


5o 


9.945261 


52 7 2 


5 2 83 


52 9 5 


53o6 


53i 7 


9 


5i 


1187 


11 99 


I2II 


1222 1234 


1246 


8 


5i 


5328 


534o 


535i 


5362 


53 7 4 


5385 


8 


52 


1258 


1269 


I28l 


i2 9 3 i3o4 


i3i6 


7 


52 


53 9 6 


54o 7 


54i9 


543o 


544i 


5452 


7 


53 


i328 


1 34o 


i35i 


i363 i3 7 5 


1387 


6 


53 


5464 


5475 


5486 


54 9 7 


55o 9 


5520 


6 


54 i3 9 8 


i4io 


1422 


i433 i445 


1457 


5 


54 


553i 


55425554 


5565 


55 7 6 


558 7 


5* 


55 i46 9 
56 i53 9 


i48o 
i55o 


1492 
i562 


i5o4 

i5 7 4 


i5i5 
1 586 


1527 
i5 97 


4 
3 


55 
56 


55 9 8 
5666 


56io562i 

56 77 ! 5688 


5632 
5700 


5643 

5-7II 


5655 
5722 


4 
3 


5 7 


1609 


1621 


i632 


1 644 1 656 


1667 


2 


5 7 


5 7 33 5 7 44|5 7 56 


5 7 6 7 5 77 8 


5789 


2 


58 i6 79 


1691 


I 7 02 


I7l4 1726 


1738 


I 


58 


58oo 58125823 5834 5845 


5857 


I 


5 9 j *74 9 


1761 


i 77 3 


i 7 84 ! i79 6 


1808 


O 


5 9 


5868:5879 58 9 o5 9 oi ! 59i3 


5 9 24 


O 




60" 50" | 40" 


30" 20" 10" 


d 




60" 50" 40" | 30" 20" 


10" 


d 




Co-sine of 29 


Degrees. 







Co-sine of 28 Degrees. 


5 


P TartJ J " 2 " 3 " 4 " 


5" 6" 7" 8" 9" 


^ 1" 2" V 4" 5" 6" 7" 8" 9" 




6 7 8 10 11 


irt fc 1 2 3 5 6 7 8 9 10 



LOGARITHMIC TANGENTS. 



I 


Tangent of 60 Degrees. 




d 




Tangent of 61 Degrees. 




s 


0" 


10" 


20" 


30" 


40" \ 50" 




2 


0" 


10" 


20" 


30" 


40" 


50" 




o 


10. 23856i 


8609 


8658 


8707 


8755 


88o4 


5 9 





10.256248 


6298 


634 7 


63 97 


644 7 


64 9 6 


5 9 


i 


885 2 


8901 


8g5o 


8998 


9047 


9096 


58 


I 


6546 


65 9 6 


6645 


66 9 5 


6 7 45 


6 79 4 


58 


2 


9144 


9193 


9242 


9290 


9 33 9 


9388 


5 7 


2 


6844 


6894 


6944 


6 99 3 


7o43 


7 o 9 3 


5 7 


3 


9 436 


9 485 


9 534 


9582 


963i 


9680 


56 


3 


7142 


7192 


7242 


7291 


734i 


7 3 9 i 


56 


4 


9728 


9777 


9826 


9874 


99 23 


9972 


55 


4 


744i 


7490 


754o 


7 5 9 


7 64o 


7680 


55 


5 


10.240021 


0069 


0118 


0167 


02l5 


0264 


54 


5 


7739 


7789 


7 83 9 


7888 


7938 


7988 


54 


6 


o3i3 


o362 


o4io 


0459 


o5o8 


o55 7 


53 


6 


8o38 


8087 


8i3 7 


8187 


82378286 


53 


7 


o6o5 


o654 


0703 


0752 


0800 


0849 


52 


7 


8336 


8386 


8436 


8486 


85358585 


52 


8 


0898 


0947 


o 99 5 


io44 


1093 


1142 


5i 


8 


8635 


8685 


8 7 35 


8 7 84 


8834 


8884 


5i 


9 


1190 


1239 


1288 


i33 7 


i385 


1434 


5o 


9 


8 9 34 


8 9 84 


9 o33 


9 o83 


9 i33 


9 i83 


5o 


10 


io.24i483 


i532 


1681 


1629 


1678 


1727 


49 


10 


io.25 9 233 


9283 


9332 


9 38 2 


9 43 2 


9482 


49 


ii 


1776 


i825 


i8 7 3 


1922 


1971 


2O2O 


48 


1 1 


9532 


9 58 2 


9632 


9 68i 


973i 


9781 


48 


12 


2069 


2118 


2166 


22l5 


2264 


23l3 


47 


12 


9 83i 


9 88i 


99 3i 


998i 


..3i 


..80 


47 


i3 


2362 


24n 


245 9 


25o8 


2 55 7 


2606 


46 


i3 


io.26oi3o 


0180 


023O 


0280 


o33o 


o38o 


46 


i4 


2655 


2704 


2 7 53 


2801 


285o 


2899 


45 


i4 


o43o 


o48o 


o53o 


o58o 


o62 9 


0679 


45 


i5 


2948 


2997 


3o46 


3o 9 5 


3i43 


3l92 


44 


i5 


0729 


0779 


0829 


o8 79 


9 2 9 


979 


44 


16 


324l 


3290 


333 9 


3388 


343 7 


3486 


43 


16 


1029 


1079 


1129 


"79 


1229 


i2 79 


43 


17 


3535 


3584 


3632 


368i 


3 7 3o 


3779 


42 


17 


1329 


i3 79 


1429 


i47 9 


1529 


i5 79 


42 


18 


8828 


38 7 7 


3926 


3 97 5 


4024 


4o 7 3 


4i 


18 


1629 


1679 


I 7 2 9 


i77 9 


1829 


1879 


4i 


19 


4l22 


4i 7 i 


4220 


4269 


43i8 


4366 


4o 


J 9 


1929 


1979 


202 9 


20 79 


2129 


2179 


4o 


20 


i O.2444 i 5 


4464 


45i3 


4562 


46n 


466o 


3 9 


20 


10.262229 


2279 


232 9 


2 3 79 


2429 


2479 


3 9 


21 


4709 


4 7 58 


48o 7 


4856 


4905 


4954 


38 


21 


2529 


2 5 79 


262 9 


2679 


2729 


2779 


38 


22 


5oo3 


5o52 


5ioi 


5i5o 


5i 99 


5248 


37 


22 


2829 


2 8 79 


2 9 2 9 


2979 


3029 


3 79 


37 


23 


52 97 


5346 


5395 


5444 


54 9 3 


5542 


36 


23 


3i3o 


3i8o 


3230 


3 2 8o 


333o 


338o 


36 


24 


55 9 i 


564o 


568 9 


5 7 38 


5 7 8 7 


5836 


35 


24 


343o 


348o 


353o 


358o 


363o 


368 1 


35 


25 


5885 


5 9 34 


5 9 84 


6o33 


6082 


6i3i 


34 


25 


373i 


3 7 8i 


383i 


388i 


3 9 3i 


3 9 8i 


34 


26 


6180 


6229 


6278 


632 7 


6376 


6425 


33 


26 


4o3i 


4082 


4l32 


4182 


4232 


4282 


33 


27 


6474 


6523 


65?2 


6621 


6670 


6 7 2O 


32 


27 


4332 


4382 


4433 


4483 


4533 


4583 


32 


28 


6769 


6818 


6867 


6 9 i6 


6 9 65 


7 oi4 


3i 


28 


4633 


4683 


4734 


4784 


4834 


4884 


3i 


29 


7063 


7112 


7161 


7211 


7260 


7 3o 9 


3o 


29 


4934 


4 9 85 


5o35 


5o85 


5i35 


5i85 


3o 


3o 


10.247358 


7407 


7456 


75o5 


7554 


7604 


2 9 


3o 


10.265236 


5 2 86 


5336 


5386 


5436 


548 7 


2 9 


3r 


7653 


7702 


77 5! 


7800 


784 9 


7899 


28 


3i 


553 7 


558 7 


563 7 


5688 


5 7 38 


5 7 88 


28 


32 


7948 


7997 


8o46 


8o 9 5 


8i44 


8i 9 4 


27 


32 


5838 


588 9 


5 9 3 9 


5 9 8 9 


6039 


6o 9 o 


27 


33 


8243 


8292 


834i 


83 9 o 


843 9 


848 9 


26 


33 


6i4o 


6190 


6240 


6291 


634i 


63 9 i 


26 


34 


8538 


858 7 


8636 


8685 


8735 


8 7 84 


25 


34 


6442 


6492 


6542 


6592 


6643 


66 9 3 


25 


35 


8833 


8882 


8 9 3i 


8 9 8i 


9 o3o 


979 


24 


35 


6 7 43 


6794 


6844 


68 9 4 


6945 6 99 5 


24 


36 
3? 


9128 
9424 


9178 
9 4 7 3 


9 227 
9 522 


9 2 7 6 

9 5 7 2 


9 3 2 5 

9 62I 


9 3 7 5 
9 6 7 o 


23 
22 


36 
37 


7o45 
7347 


7096 
7398 


7i46 

7448 


7196 

7498 


72477 2 97 
75497^99 


23 
22 


38 


9719 


9769 


9 8i8 


9867 


99 i6 


99 66 


21 


38 


?64 9 


7700 


77 5o 


7800 


785 1 7901 


21 


3 9 


io.25ooi5 


oo64 


on4 


oi63 


0212 


0261 


20 


3 9 


7952 


8002 


8o52 


8io3 


8i5382o4 


2O 


4o 


io.25o3n 


o36o 


0409 


0459 


o5o8 


o55 7 


J 9 


4o 


10.268254 


83o4 


8355 


84o5 


8456 85o6 


'9 


4i 


0607 


o656 


0705 


o 7 55 


o8o4 


o853 


18 


4i 


8556 


8607 


865 7 


8708 


8 7 58 


8809 


18 


42 


0903 


O 9 52 


IOOI 


io5i 


IIOO 


1149 


*7 


42 


885 9 


8909 


8 9 6o 


9010 


9061 


9111 


7 


43 


1199 


1248 


1297 


1 347 


i3 9 6 


i445 


16 


43 


9162 


9212 


9 263 


93i3 


9 364 9 4i4 


16 


44 


i495 


1 544 


i5 9 4 


1 643 


1692 


1742 


i5 


44 


9 465 


9 5i5 


9 566 


9616 


9 66 797 i 7 


i5 


45 


1791 


i84o 


1890 


i 9 3 9 


1989 


2o38 


x4 


45 


9767 


9 8i8 


9 868 


9919 


99 70 . .20 


i4 


46 


2087 


2137 


2186 


2236 


2285 


2335 


i3 


46 


10.270071 


0121 


0172 


O222 


0273 o323 


i3 


47 


2384 


2433 


2483 


2532 


2582 


263i 


12 


47 


o3 7 4 


O424 


o475 


0525 


0576 0626 


12 


48 


2681 


2730 


2779 


2829 


2878 


2928 


II 


48 


0677 


7 28 


0778 


0829 


o87 9 0930 


II 


49 


2977 


3027 


3o 7 6 


3i26 


3i 7 5 


3225 


10 


49 


0980 


io3i 


1082 


Il32 


u83 1233 


IO 


5o 


10.253274 


3324 


3373 


3423 


3472 


352i 


9 


5o 


10.271284 


i335 


i385 


i436 


i486 i537 


9 


5i 


35 7 i 


3620 


3670 


3 7 i 9 


3 7 6 9 


38i8 


8 


5i 


i588 


i638 


i68 9 


i 7 3 9 


1790 i84i 


8 


52 


3868 


3 9 i8 


3 9 6 7 


4017 


4o66 


4n6 


7 


52 


1891 


1942 


i 99 3 


2o43 


2094 2i45 


7 


53 


4i65 


42i5 


4264 


43i4 


4363 


44i3 


6 


53 


2195 


2246 


22 97 


234 7 


23982449 


6 


54 


4462 


45i2 


456i 


46n 


466i 


4710 


5 


54 


2499 


2 55o 


26OI 


265i 


2702 2733 


5 


55 


4760 


48o 9 


485 9 


4908 


4958 


5oo8 


4 


55 


28o3 


2854 


2 9 o5 


2 9 55 


3oo63o57 


4 


56 


5o57 


5107 


5i56 


5206 


5256 


53o5 


3 


56 


3io8 


3i58 


3209 


3260 


33io336i 


3 


5 7 


5355 


54o4 


5454 


55o4 


5553 


56o3 


2 


57 


3412 


3463 


35i3 


3564 


36i53666 


2 


58 


5652 


5702 


5 7 52 


58oi 


585i 


5901 


I 


58 


3 7 i6 


3 7 6 7 


38i8 


386 9 


391913970 


I 


5 9 


5 9 5o 


6000 


6049 


6099 


6:49 


6198 





5 9 


4O2I 


4072 


4l22 


4i73 


4224*4275 


O 




60" 


50" 


40" 


30" \ 20" 10" 


d 




60" 50" 


40" 


30" 


20" j 10" 


d 




Co-tangent of 29 Degrees. 


H 

s 




Co-tangent of 28 Degrees. 


fl 

S 


p p a *5 r/ 2 " 3// 4 " - 5 " 6 " 7// 8 " 9 " 


.( 1" 2" 3" 4" 5" 6" 7" 8" 9" 


irl \ 5 10 15 20 25 29 34 39 44 


Lrt ) 5 10 15 20 25 30 35 40 45 



LOGARITHMIC SINES. 



N 


Sine of 62 Degrees. 




J 


Sine of 63 Degrees. 




1 * 


0" 10" ' 20" 


30" 40" 50" 




2 


0" 


10" 


20" 


30" 


40" 


50" 







9.945935 5g46 5967 5969 5980 


5 99 i 5 9 


O 


9 . 9 4 9 88i 


9 8 9 2 


99 O2 


99 i3 


99 24 


99 35 


5 9 


I 


6002 


6oi36o246o366o4 7 


6o58 


58 


I 


99 45 


99 56 


99 6 7 


9977 


9988 


9999 


58 


2 


6069 


6080 6o 9 2 6zo36n4 


6i 2 5 


57 


2 


9.950010 


O02O 


oo3i 


0042 


OO52 


oo63 


57 


3 


6i36 


6i4 7 6i5 9 6i 7 o6i8i 


6i 9 2 


56 


\ 


0074 


0084 


oo 9 5 


0106 


0117 


0127 


56 


4 


6203 


62146226623-76248 


625 9 


55 


I 


oi38 


oi4 9 


oi5 9 


0170 


0181 


oioi 


55 


5 


6270 


6281 62 9 3 


63o463i5 


632654 


f 


O202 


02 I ^ 


022^ 


0234 


0245 


0256 


54 


6 


6337 


6348 635$ 


637ii6382 


639353 


6 


0266 


0277 


0288 


02 9 8 


o3o 9 


0320 


53 


7 


64o4 


64i564 2 6 


643 7 '644 9 


646o 5 2 


7 


o33o 


o34i 


o352 


o362 


o3 7 3 


o384 


52 


8 


6471 


648264 9 365o465i5 


65 2 6 5i 


8 


o3 9 4 


o4o5 


o4i6 


0426 


o43 7 


o448 


5i 


9 


6538 6549 656o65 7 i : 6582 


65 9 3 


5o 


9 


o458 


o46 9 


o48o 


o4 9 o 


o5oi 


O5l2 


5o 


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27 


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26 


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2001 


201 I 


2022 


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26 


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25 


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2o43 


2o53 


2064 


2074 


2085 


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25 


35 


825 7 


8268 82 79 


8290 


83oi 83i2 


24 


35 


2106 


2116 


2126 


2137 


2147 


2i58 


24 


36 


8323 


8334 8344 


8355 


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23 


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2210 


2221 


23 


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83 99 84io 


8421 


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22 


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2252 


2262 


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23 2 5 


2335 


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2356 


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23 9 8 


2408 


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242 9 


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8682 


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18 


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24 9 2 


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2512 


2523 


2533 


18 


42 


8 7 i5 


8 7 268 7 36 


8747 


8 7 588 7 69 


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2544 


2 554 


2 565 


2 5 7 5 


2585 


2 5 9 6 


17 


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8 7 8o 


8 79 i 8802 


8812 


8823 8834 


16 


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2606 


2617 


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2648 


2658 


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2855 


2866 


2876 


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2 


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9 i38 


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3217 


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6 


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3228 


3238 


3248 325 9 


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3279 


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9 53 7 9 548 


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33 9 3 34o3 
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9 688 9 6 9 8 9709 9720 


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3475 3485 34 9 6 35o6 ; 35i6 352 7 


2 


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9816(982719838 9 84 9 9 85 9 9 8 7 o 


O 


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35 99 36o 9 36i 9 362 9 364o365o o 




60" 50" i 40" 


30" 20" 10" 


. 


60" 50" 40" 30" 30" 10" 




Co-sine of 27 


Degrees. a 


Co-sine of 26 Degrees. 


( 1 // O" Q" AH 

P Part) ** 4 
fft { 1 2 3 4 


5 7 8 9 10 P - Part | i ~2 3456789 



LOGARITHMIC TANGENTS. 



87 



1 


Tangent of 62 Degrees. 




.5 


Tangent of 63 Degrees. 




91 


0" 


10" 


2O' 


30" 


40" 


50" 




8 


0" 


10" 


20" 


30" 


40" 


50" 




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10.274326 


43 7 6 


4427 


44 7 8 


4529 


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10.292834 


2886 


2938 


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3o42 


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468i 


4?32 


4783 


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3355 


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58 


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5i3 9 


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57 


2 


345 9 


35n 


3563 


36i5 


366 7 


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57 


3 


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5291 


5342 


53 9 3 


5444 


54 9 5 


56 


3 


3 77 2 


3824 


38 7 6 


3928 


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4o3 2 


56 


4 


5546 


55 97 


5647 


56 9 8 


5 7 4 9 


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55 


4 


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4i8 9 


4241 


42 9 3 


4345 


55 


5 


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5902 


5 9 53 


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6o55 


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54 


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4554 


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4658 


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6207 


6258 


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53 


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4 9 i 9 


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6564 


66i5 


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6 7 i 7 


52 


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5o24 


5076 


5i28 


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5232 


5285 


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6768 


6819 


6870 


6 9 20 


6 97 i 


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533 7 


538 9 


544 1 


5494 


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55 9 8 


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7124 


7 i 7 5 


7226 


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585 9 


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748 1 


7532 


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7634 


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6016 


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8 7 5 7 


88o 9 


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7377 


742 9 


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45 


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9 i66 


44 


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7 586 


7 638 


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7743 


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44 


16 


9217 


9268 


9 320 


9 3 7 i 


9 422 


9 4 7 3 


43 


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7 848 


7 9 oo 


79 53 


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9 6 7 8 


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8320 


83 7 2 


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99 33 


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9 i5 9 


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9 3 7 o 


3 9 


21 


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ioo 9 


38 


21 


9 422 


9 4 7 5 


9 52 7 


958o 


9 632 


9 685 


38 


22 


1060 


mi 


1162 


I2l4 


1265 


i3i6 


37 


22 


9737 


979 


9 842 


9 8 9 5 


9947 


.... 


37 


23 


i36 7 


1419 


1470 


l52I 


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1624 


36 


23 


io.3ooo53 


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35 


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33 


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1167 


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1263 


33 


27 


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2 7 53 


2804 


2855 


32 


27 


i3i5 


1 368 


1421 


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32 


28 


2907 


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3o6i 


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1 684 


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1789 


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3266 


33i8 


336 9 


3421 


3472 


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2 9 


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2106 


2i58 


2211 


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35 7 5 


3626 


36 7 8 


3729 


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2 9 


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236 9 


2422 


24 7 5 


252 7 


29 


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3 9 86 


4o38 


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28 


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2633 


2686 


2 7 38 


2 79 I 


2844 


28 


32 


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4192 


4243 


42 9 5 


4346 


43 9 8 


27 


32 


2 8 97 


2 9 5o 


3OO2 


3o55 


3io8 


3i6i 


27 


33 


4449 


45oi 


4552 


46o4 


4655 


4707 


26 


33 


32i3 


3266 


33i 9 


33 7 2 


3425 


3478 


26 


34 


4?58 


48io 


486i 


4 9 i3 


4 9 64 


5oi6 


25 


34 


353o 


3583 


3636 


368 9 


3 7 42 


3 79 4 


25 


35 


5o6 7 


5ii 9 


5170 


5222 


52 7 3 


53 2 5 


24 


35 


384 7 


3 9 oo 


3 9 53 


4oo6 


4o5 9 


4112 


24 


36 


53 7 6 


5428 


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5582 


5634 


23 


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4i64 


4217 


42 7 


4323 


43 7 6 


442 9 


23 


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5 7 3 7 


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46 9 3 


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5 9 64 


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18 


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7337 


7 38 9 


7 44o 


7 4 9 2 


17 


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6o 7 o 


6i23 


6i 7 6 


6229 


6282 


6335 


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7647 


7699 


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16 


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64 9 4 


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79 o6 


79 5 7 


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8061 


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85 7 8 


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7 5o3 


7 556 


7 6o 9 


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8 7 85 


8837 


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7 8 7 5 


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9 i48 


9 i 99 


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9 355 


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79 8i 


8o34 


8o8 7 


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8i 9 4 


824 7 


II 


49 


9407 


9 458 


9 5io 


9 56 2 


96-14 


9 666 


IO 


49 


83oo 


8353 


84o6 


846o 


85i3 


8566 


IO 


5o 


10.289718 


97 6 9 


9 82I 


9 8 7 3 


99 25 


9977 


9 


5o 


io.3o86i 9 


8672 


8 7 26 


8779 


8832 


8885 


9 


5i 


10.290029 


0081 


Ol32 


0184 


0236 


0288 


8 


5i 


8 9 38 


8 99 2 


9 o45 


9098 


9 i5i 


9 2o5 


8 


52 


o34o 


o3 9 2 


o444 


0496 


o54 7 


o5 99 


7 


52 


9 258 


9 3n 


9 364 


94i8 


9 4 7 i 


9524 


7 


53 


o65i 


0703 


o 7 55 


0807 


o85 9 


0911 


6 


53 


9 5 77 


9 63i 


9 684 


9737 


979 


9844 


6 


54 


0963 


ioi5 


1066 


1118 


II 7 


1222 


5 


54 


9 8 97 


99 5o 


...4 


..5 7 


. no 


.164 


5 


55 


1274 


i326 


1378 


i43o 


1482 


i534 


4 


55 


10.810217 


0270 


0324 


o3 77 


o43o 


o484 


4 


56 


i586 


i638 


i6 9 o 


1742 


i 79 4 


1 846 


3 


56 


o53 7 


oSgo 


o644 


o6 97 


o 7 5o 


0804 


3 


5 7 


1898 


I 9 5o 


2OO2 


2054 


2106 


2i58 


2 


57 


o85 7 


0910 


o 9 64 


ioi 7 


IO 7 O 


1124 


2 


58 


2210 


2262 


23i4 


2366 


2418 


2470 


I 


58 


1177 


I23l 


1284 


I33 7 


i3 9 i 


1 444 


I 


5 9 


2522 


25 7 4 


2626 


2678 


2 7 3o 


2782 





5 9 


i4 9 8 


i55i 


i6o5 


i658 


i 7 ii 


i 7 65 


O 




60" 


50" 


40" 


30" 


20" 


10" 


f 




60" 50" 40" | 30" 


20" 


10" 


. 




Co-tangent of 27 Degrees. 


S 




Co-tangent of 26 Degrees. 


i 


P Part 5 l " 2 " 3" 4// 5// 6// 7 " 8 " 9 " 


.< 1" 2" 3" 4" -5" 6" 7" 8" 9" 


} 5 10 15 21 26 31 36 41 46 


lrt { 5 11 16 21 26 32 37 42 47 



88 



LOGARITHMIC SINES. 



t 


Sine of 64 Degrees. , 


d 


Sine of 65 Degrees. 




s 


0" 


10" 


20" 


30" 


40" 


50" 


9 


0" i 10" | 20" [ 30" 40" 


50" 







9.953660 
3722 


36 7 o 
3 7 32 


368i 

3 7 42 


36 9 i 
3 7 53 


3701 

3 7 63 


3712 
3 77 3 


5 9 
58 




I 


9.95727617286(7295 7 3o5 7 3i5 
7 335 7 344 7 354J 7 364I 7 3 7 4 


7384 


5 9 
58 


2 


3 7 83 


3 79 4 


38o438i4 


3824 


3835 


67 


2 


7 3 9 3 


74o3 


74i3 7423 7433 


7 442 


57 


3 


3845 


3855 


3865 38 7 6 


3886 


38 9 6 


56 


3 


7 452 


7462 


7472 


7482 


7491 


75oi 


56 


4 


3906 


3 9 i 7 


3 9 2 7 3 9 3 7 


3 9 4 7 


3 9 5 7 


55 


4 


75n 


7521 


753i 


7 54o 


7 55o 


7 56o 


55 


5 


3 9 68 


3978 


3 9 88 


3 99 8 


4009 


4oi 9 


54 


5 


7 5 7 


7 5 79 


7 58 9 


7 5 99 


7609 


7619 


54 


6 


4029 


4o3 9 


4o5o 


4o6o 


4o 7 o 


4o8o 


53 


6 


7628 7 638 


7 648 


7 658 


7 66 7 


7677 


53 


7 


4090 


4ioi 


4ni 


4l2I 


4i3i 


4i4i 


52 


7 


7687 


7697 


7707 


77 i6 


77 26 


7736 


52 


8 


4i52 


4162 


41724182 


4192 


4203 


5i 


8 


77 46 


77 55 


7765 


777 5 


7785 


7794 


5i 


9 


4213 


4223 


42334243 


4254 


4264 


5o 


9 


7804 


7 8i4 


7824 


7 833 


7 843 


7 853 


5o 


10 


9.954274 


4284 


42 9 4 


43o5 


43i5 


43 2 5 


49 


10 


9.957863 


7 8 7 2 


7882 


7 8 9 2 


79 02 


79" 


49 


ii 


4335 


4345 


43564366 


43 7 6 


4386 


48 


ii 


7921 


79 3i 


794o 


7 9 5o 


79 6 


7970 


48 


12 


43 9 6 


44o6 


44i7 


4427 


443 7 


444 7 


47 


12 


7979 


7989 


7999 


8oo 9 


8oi8 


8028 


4 7 , 


i3 


445 7 


4468 


4478 


4488 


4498 


45o8 


46 


i3 


8o38 


8o4 7 


8o5 7 


8067 


8o 77 


8086 


46 


i4 


45i8 


452 9 


453 9 


454 9 


455 9 


456 9 


45 


i4 


8096 


8106 


8n5 


8l2D 


8i35 


8i45 


45 


i5 


45 7 9 


458 9 


46oo 46io 


4620 


463o 


44 


i5 


8i54 


8i64 


8174 


8i83 


8i 9 3 


8203 


44 


16 


464o 


465o 


466i 


46 7 i 


468i 


46 9 i 


43 


16 


8213 


8222 


8232 


8242 


825i 


8261 


43 


17 


4 7 oi 


4711 


4 7 2I 


4732 


4 7 42 


4 7 52 


42 


17 


8271 


8280 


82 9 O 


83oo 83o 9 


83i 9 


42 


18 


4762 
4823 


4772 
4833 


4782'47 9 2 
4843 4853 


4802 
4863 


48i3 
48 7 3 


4i 
4o 


18 


8329 
838 7 


833 9 
839 7 


8348 
84o6 


83588368 
84168426 


83 77 
8435 


4i 
4o 


20 


9 . 9 54883 


48 9 4 


4 9 o4 


4 9 i4 


4924 


4 9 34 


39 


20 


9 . 9 58445 


8455 


8464 


8474 


8484 


8493 


39 


21 
22 


4944 
5oo5 


4 9 54 
5oi5 


4 9 64 4 9 74 
5o 2 5 5o35 


4 9 85 
5o45 


4 99 5 


38 
37 


21 
22 


85o3 
856i 


85i3 

85 7 i 


8522 

858o 


8532 
85 9 o 


8542 
8600 


855i 
8609 


38 
37 


23 


5o65 


5o 7 5 


5o86 5o 9 6 


5io6 


5n6 


36 


23 


8619 


8628 


8638 


8648 


865 7 


8667 


36 


24 


5i26 


5i36 


5i46 


5i56 


5i66 


5i 7 6 


35 


24 


8677 


8686 


86 9 6 


8706 


8 7 i5 


8 7 25 


35 


25 


5i86 


5i 9 6 


5207 


5217 


522 7 


523 7 


34 


25 


8 7 34 


8 7 44 


8754 


8 7 63 


8 77 3 


8 7 83 


34 


26 


5247 


5 2 5 7 


5267 


5277 


5 2 8 7 


5 297 


33 


26 


8792 


8802 


8812 


8821 


883i 


884o 


33 


2 7 


53o7 


r )3i 7 


5327 


533 7 


5348 


5358 


32 


27 


885o 


8860 


886 9 


8879 


8888 


8898 


32 


28 


5368 


53 7 8 


5388 53 9 8 


54o8 


54i8 


3i 


28 


8908 


8917 


8027 


8 9 3 7 


8 9 46 


8 9 56 


3i 


29 


5428 


5438 


,5448 


5458 


5468 


54 7 8 


3o 


2 9 


8 9 65 


8 97 5 


8 9 85 


8994 


9004 


9013 


3o 


3o 


9.955488 


54 9 8 


55o8 


55i8 


5528 


5538 


2 9 


3o 


9.959023 


9033 


9 042 


9 o52 


9061 


9071 


2 9 


3i 


5548 


555 9 


556 9 


55 7 9 


558 9 


55 99 


28 


3i 


9080 


9090 


9 ioo 


9109 


9119 


9128 


28 


32 


5609 


56i 9 


562 9 563 9 


564 9 


565 9 


27 


32 


9 i38 


9i48 


9 l5 7 


9167 


9176 


9186 


27 


33 


566 9 


56 79 


568 9 56 99 


5 7 o 9 


5 7 i 9 


26 


33 


9 i 9 5 


9205 


9 2l5 


9224 


9234 


9243 


26 


34 


5 7 2 9 


5 7 3 9 


5?4 9 


5 7 5 9 


5 7 6 9 


5 779 


25 


34 


9 253 


9262 


9 2 7 2 


9282 


9291 


93oi 


25 


35 


5 7 8 9 


5 799 


58o 9 


58i 9 


582 9 


583 9 


24 


35 


93io 


9320 


9 32 9 


9 33 9 


9 348 


9 358 


24 


36 


5849 


585 9 


586 9 


5879 


588 9 


58 99 


23 


36 


9 368 


9 3 77 


9 38 7 


9 3 9 6 


9406 


94i5 


23 


37 


5909 


5 9 i 9 


5 9 2 9 


5 9 3 9 


5949 


5 9 5 9 


22 


37 


9425 


9434 


9 444 


9 453 


9 463 


9 4 7 3 


22 


38 


5 9 6 9 


5 979 


5 9 8 9 


5 999 


6009 6019 


21 


38 


9482 


9492 


9 5oi 


95i i 


9520 


9 53o 


21 


3 9 
4o 
4i 


6o2 9 
9 . 9 56o8 9 
6i48 


6o3 9 
6099 
6i58 


6o4 9 6o5 9 
6108 6118 
6168 6178 


6069 
6128 
6188 


6o 79 
6i38 
6i 9 8 


2O 
19 

18 


39 

4o 
4i 


9539 
9.959596 
9 654 


95499558 
96069615 
96639673 


9 568 
9625 
9682 


9 5 77 
9 634 
9692 


9 58 7 
9644 
97 oi 


20 
19 

18 


42 


6208 


6218 


6228 6238 6248 6258 


17 


42 


97" 


9720 


97 3o 


9739 


9749 


97 58 


17 


43 
44 
45 


6268 
632 7 
638 7 


6278 
633 7 
63 97 


628862 9 863o863i7 
6347635763676377 
6407641764276437 


16 
i5 
i4 


43 
44 
45 


9768 
9825 
9882 


9777 
9 834 
9891 


9787 
9 844 

99 


979619806 
98639863 
99109919 


9 8i5 
9 8 7 2 
9929 


16 
i5 


46 


6447 


645 7 


6466,6476 6486 64 9 6 


i3 


46 


99 38 


9948 


99 5 7 


996799769986,13 


/ 7 


65o6 


65i6 


6526 


6536 6546 


6556 


I 2 


A7 


nnn 5 


5 




. "4 33 


43 12 


*7 

48 


6566 


65 7 5 


6585 


65 9 5 66o5 


66i5 


II 


*/ 

48 


Vyy^ 
9.960052 


0061 


0071 


0080 0090 


0099 1 1 


49 


6625 


6635 


6645 


6655 6665 


66 7 4 


10 


49 


0109 


0118 


0128 


0137 0147 


oi56 10 


5o 


9 . 9 56684 


66 9 4 


6704 


6714 6724 


6 7 34 


9 


5o 


9.960165 


0175 


oi84 


019410203 


02 I 3 


9 


5i 


6 7 44 


6 7 54 


6 7 63 


6 77 3 


6 7 83 


6 79 3 


8 


5i 


O222 


0232 


0241 


O25o 0260 


0269 


8 


52 


68o3 


68i3 


6823 


6833 


6843 


6852 


7 


52 


0279 


0288 


02 9 8 




o326 


7 


53 


6862 


6872 


6882 


6892 


6902 


6 9 I2 


6 


53 


o335 


o345 


o354 


o364!o373 


o382 


6 


54 


6 9 2I 


6 9 3i 


6 9 4i 


6951 


6961 


6 97 i 


5 


54 


0392 


o4oi 


o4n 


0420 o43o 0439 


5 


55 


6 9 8i 


6 99 o 


7000 


7 oio 


7020 


7o3o 


4 


55 


o448 


o458 


0467 


o477!o486 o4 9 5 


4 


56 


7040 


7ODO 


7 5 9 


7069 


7079 


7o8 9 


3 


56 


o5o5 


o5i4 


o524 


o533o542o552 


3 


5 7 


799 


7 I0 9 


7118 


7128 


7 i38 


7i48 


2 


67 


o56i 0571 o58o o58 9 o5 99 |o6o-< 9 


58 


7i58 


7168 


7177 


71877197 


7207 


I 


58 


0618 0627 o636io646o655 o665 i 


5 9 


7217 


7227 


7 236 


7246 7256 


7266 


O 


5 9 


0674:0683 069^ 0702 071 1 071: 




60" 


50" 


40" 


30" | 20" 


10" 


d 




60" | 50" 40" j 30" 20" j 10" i ^ 




Co-sine of 25 


Degrees. 






Co-sine of 24 Degrees. a 


T PartJ l " 2 " 3 " 4 " 
I.lartJ ! 2 3 4 


5" 6" 7" 8" 9" 
56789 


.( 1" 2" 3" 4" 5" 6" 7" fi 
irt \ 1 2 3 4 5 6 7 * !> 



LOGARITHMIC TANGENTS. 



c 


Tangent of 64 Degrees. 




Jj 


Tangent of 65 Degrees. 




9 


0" 


10" 1 20" 


30" 


40" 


50" 




s 


0" 


10" 


20" 


30" 


40" 


50" 







io.3n8i8 


l8 7 2JI 9 25 


i 97 9 


2032 


2o85 


5 9 





io.33i327 


i382 


i43 7 


1492 


1 54 7 


1602 


5 9 


i 


2l3 9 


2I 9 2 2246 


22 99 


2353 


2406 


58 


I 


i65 7 


I 7 I2 


i 7 6 7 


1822 


i8 77 


1932 


58 


2 


2460 


25i3| 2 56 7 


2620 


2674 


2 7 2 7 


5? 


2 


i 9 8 7 


2042 


20 97 


2i53 


2208 


2263 


57 


3 2781 


2834 


2888 


2 9 4l 


2 99 5 


3o48 


56 


3 


23i8 


23 7 3 


2428 


2483 


2538 


25 9 3 


56 


A 3io2 


3i55 


320 9 


3263 


33i6 


33 7 o 


55 


4 


2648 


2703 


2 7 58 


2 8i3 


2868 


2924 


55 


5, 3423 


34 77 


353o 


3584 


3637 


36 9 i 


54 


5 


2 979 


3o34 


3089 


3i44 


3i 99 


3254 


54 


6 


3745 


3798 


3852 


3 9 o5 


3 9 5 9 


4oi3 


53 


6 


33o 9 


3364 


3420 


3475 


353o 


3585 


53 


7 


4o66 


4l2O 


4i 7 3 


422 7 


4281 


4334 


52 


7 


364o 


36 9 5 


3 7 5i 


38o6 


386i 


3 9 i6 


52 


8 


4388 


4442 


44 9 5 


4549 


46o3 


4656 


5i 


8 


3 97 i 


4026 


4082 


4i3 7 


1" 


|ij. .4 j 


5i 


9 


4710 


4 7 64 


48i 7 


48 7 i 


4 9 25 


4 9 78 


5o 


9 


43o2 


4358 


44i3 


4468 


H 


4579 


5o 


10 


io.3i5o32 


5o86 


5i3 9 


5i 9 3 


5247 


53oo 


49 




io.334634 


468 9 


4 7 44 


48oo 


4855 


4910 


49 


ii 


5354 


54o8 


546 1 


55i5 


556 9 


5623 


48 


1 1 


4 9 65 


5O2I 


5o 7 6 


5i3i 


5i86 


5242 


48 


12 


5676 


5 7 3o 


5 7 84 


5838 


58 9 i 


5 9 45 


47 


12 


52 97 


535 3 


54o8 


5463 


55i8 


55 7 4 


47 


i3 


5 999 


6o53 


6106 


6160 


6214 


6268 


46 


1 3 


562 9 


5684 


574o 


5 79 5 


585o 


5go6 


46 


i4 


632i 


63 7 5 


642 9 


6483 


653 7 


65 9 o 


45 


i4 


5 9 6i 


6016 


6o 7 2 


6127 


6182 


6238 


45 


i5 


6644 


66 9 8 


6 7 52 


6806 


6860 


6 9 i3 


44 


i5 


62 9 3 


634 9 


64o4 


645 9 


65i5 


65 7 o 


44 


16 


6967 


7021 


7 o 7 5 


7129 


7 i83 


7236 


43 


16 


6625 


6681 


6 7 36 


6792 


6847 


6903 


43 


17 


7290 


7 344 


7 3 9 8 


7452 


75o6 


7 56o 


42 


17 


6 9 58 


7013 


7069 


7124 


7180 


7 235 


42 


18 


7 6i3 


7667 


772i 


777 5 


7 82 9 


7 883 


4i 


18 


7 2 9 X 


7346 


7 402 


745 7 


75i3 


7 568 


4i 


19 


79 3 7 


799 1 


8o45 


8099 


8i53 


8206 


4o 


J 9 


7624 


7 6 79 


77 35 


779 


7 846 


79 oi 


4o 


20 


10.818260 


83i4 


8368 


8422 


8476 


853o 


3 9 


20 


io.33 79 5 7 


8012 


8068 


8i23 


81 79 


8234 


39 


21 


8584 


8638 


86 9 2 


8 7 46 


8800 


8854 


38 


21 


82 9 o 


8345 


84oi 


8456 


85i2 


8568 


38 


22 


8908 


8 9 62 


9 oi6 


9070 


9 I24 


9 i 7 8 


37 


22 


8623 


86 79 


8 7 34 


8790 


8845 


8901 


37 


23 


9232 


9 286 


9 34o 


9 3 9 4 


9 448 


9 5o2 


36 


23 


8 9 5 7 


9 OI2 


9068 


9123 


9 J 79 


9 235 


36 


24 


9556 


9 6io 


9 664 


9718 


977 2 


9 826 


35 


24 


9 2 9 O 


9 346 


9402 


9 45 7 


9 5i3 


9 56 9 


35 


25 


9880 


99 34 


9988 


..42 


..96 


.i5i 


34 


25 


9 624 


9 68o 


97 35 


9791 


9 84 7 


99 02 


34 


26 


IO.32O205 


O25 9 


o3i3 


0367 


0421 


0475 


33 


26 


99 58 


. . i4 


..70 


.125 


.181 


.23 7 


33 


27 


0529 


o583 


o63 7 


0692 


o 7 46 


0800 


32 


27 


IO.3402 9 2 


o348 




o46o 


o5i5 


o5 7 i 


32 


28 


o854 


o 9 o8 


0962 


1016 


1071 


1126 


3i 


28 


0627 


0682 


0738 


o 79 4 


o85o 


o 9 o5 


3i 


29 


11 79 


1233 


I28 7 


i34i 


i3 9 6 


i45o 


3o 


29 


o 9 6i 


1017 


1073 


1129 


u84 


1240 


3o 


3o 


-o 32i5o4 


i558 


1612 


1666 


1721 


1775 


2 9 


3o 


io.34i2 9 6 


i352 


i4o8 


:463 


i5i 9 


i5 7 5 


29 


3i 


1829 


i883 


1938 


1992 


2046 


2IOO 


28 


3i 


i63i 


1687 


1742 


1798 


1 854 


I 9 IO 


28 


32 


2i54 


220 9 


2263 


2317 


23 7 I 


2426 


27 


32 


i 9 66 


2O22 


2078 


2i33 


2l8 9 


2245 


27 


33 


2480 


2534 


2588 


2643 


2 6 97 


2 7 5l 


26 


33 


23oi 


235 7 


24i3 


2469 


2525 


258i 


26 


34 


2806 


2860 


2914 


2968 


3o23 


3077 


25 


34 


2 636 


26 9 2 


2748 


2804 


2860 


2 9 i6 


26 


35 


3i3i 


3i86 


3 2 4o 


3294 


334 9 


34o3 


24 


35 


2 9 72 


3028 


3o84 


3i4o 


3i 9 6 


3252 


24 


36 


345 7 


35i2 


3566 


3620 


36 7 5 


3 7 2 9 


23 


36 


33o8 


3364 


3420 


3476 


3532 


3588 


23 


3? 


3 7 83 


3838 


3892 


3947 


4ooi 


4o55 


22 


37 


3644 


3700 


3 7 56 


38i2 


3868 


3 9 24 


22 


38 


4no 


4i64 


4219 


4273 


4327 


4382 


21 


38 


3 9 8o 


4o36 


4092 


4i48 


4204 


4260 


21 


3 9 


4436 


44 9 i 


4545 


4599 


4654 


4708 


20 


3 9 


43i6 


43 7 2 


4428 


4484 


454o 


45 9 6 


2O 


4o 


10.324763 


4817 


4872 


4926 


4 9 8i 


5o35 


19 


4o 


10.344652 


4708 


4 7 64 


4821 


48 7 7 


4 9 33 


19 


4i 


5089 


5i44 


5i 9 8 


5253 


53o 7 


5362 


18 


4i 


4 9 8 9 


5o45 


5ioi 


5i5 7 


52i3 


526 9 


18 


42 


54i6 


54?i 


5525 


558o 


5634 


568 9 


17 


42 


5326 


5382 


5438 


5494 


555o 


56o6 


I? 


43 


5 7 43 


5 79 8 


5852 


5907 


5 9 62 


6016 


16 


43 


5663 


6719 


5 77 5 


583i 


5887 


5 9 43 


16 


44 


6o 7 i 


6i25 


6180 


6234 


6289 


6343 


i5 


44 


6000 


6o56 


6112 


6168 


6224 


6281 


i5 


45 


6398 


6453 


65o7 


656 2 


6616 


6671 


i4 


45 


633 7 


63 9 3 


6449 


65o6 


656a 


6618 


i4 


46 


6-726 


6780 


6835 


6889 


6 9 44 


6 999 


i3 


46 


66 7 4 


6731 


6787 


6843 


6899 


6 9 56 


i3 


47 


7 o53 


7108 


7162 


7217 


7272 


7326 


12 


47 


7012 


7068 


7125 


7181 


7 23 7 


7293 


12 


48 


7 38i 


7 436 


7 4 9 o 


7545 


7600 


7 654 


I I 


48 


7 35o 


7406 


7462 


7 5l 9 


7 5 7 5 


7 63i 


II 


49 


779 


7764 


7818 


7 8 7 3 


792 8 


7982 


10 


49 


7688 


7744 


7800 


7 85 7 


79 i3 


79 6 9 


IO 


5o 


io.328o3 7 


8o 9 2 


8i4 7 


8201 


8256 


83u 


9 


5o 


10.348026 


8082 


8139 


8i 9 5 


825i 


83o8 


9 


5i 


8365 


8420 


84 7 5 


853o 


8584 


863 9 


8 


5i 


8364 


8421 


84 7 7 


8533 


8690 


8646 


8 


52 


8694 


8* 7 4 9 


88o3 


8858 


8 9 i3 


8 9 68 


7 


52 


8703 


8 7 5 9 


88i5 


8872 


8928 


8 9 85 


7 


53 


9023 


977 


9132 


9187 


9 242 


9297 


6 


53 


9 o4i 


9098 


9i54 


9211 


9 26 7 


0024- 


6 


54 


9 35i 


9 4o6 


9 46i 


9 5i6 


9 5 7 i 


9 625 


5 


54 


9 38o 


943 7 


9493 


9 55o 


9606 


9663 


5 


55 


9680 


97 35 


979 


9 845 


99 oo 


99 55 


4 


55 


9719 


9776 


9832 


9 88 9 


9945 


. . .2 


4 


56 


io.33oooo 


oo64 


0119 


0174 


O22 9 


0284 


3 


56 


io.35oo58 


on5 


0171 


0228 


0285 


o34i 


3 


57 


o33 9 


o3oA 


o448 


o5o3 


o558 


o6i3 


2 


5 7 


o3 9 8 


o454 


o5n 


o56 7 


0624 


0681 


2 


58 


0668 


7 23 


o 77 8 


o833 


0888 


o 9 43 


I 


58 


o 7 3 7 


0794 


o85o 


o 9 o 7 


0964 


IO2O 


I 


5 9 


o 99 8 


io53ji 108 


n63 


1218 


1272 





5 9 


io 77 


n34 


1190 


I24 7 


i3o4 


i36o 


O 




60" 


50" | 40" 


30" 


20" 


10" 


ej 




60" 


50" 


40" | 30" 


20" 


10" 


c 




Co-tangent of 25 Degrees. 


Z 




Co-tangent of 24 Degrees. 


s 


,5 1" 2" 3" 4" 5" 6" 7" 8" 9" 


C 1" 2" 3" 4" 5" 6" 7" 8" 9" 


irl l 5 11 1/5 22 27 33 38 43 49 


irt } 6 11 17 22 28 33 39 45 50 



00 



LOGARITHMIC SINES. 



a 


Sine of 66 Degrees. 




^c 


Sine of 67 Degrees. 




9 


0" 


10" 


20" 


30" 


40" 


50" 







0" 1 10" 


20" 30" 


40" 


50" 







9 . 9 6o 7 3o 


o 7 4o 


7 4 9 


0758 


o 7 68 


777 


5 9 


o 


9 . 9 64o264o35 


4o44 


4o53 


4062 


4071 


5 9 


I 

2 


o 7 86 
o843 


o 79 6 
o852 


o8o5 
0861 


0814 

0871 


0824 
0880 


o833 
0889 


58 


I 

2 


4o8o 
4i33 


4o8 9 

4i42 


4o 9 8 
4i5i 


4io64n5 
4i6o 4i6 9 


4178 


58 
5? 


3 


0899 


0908 


9 I 7 


0927 


0936 


0945 


56 


3 


4i8 7 


4196 


42o5 


4214 


4222 


423i 


56 


4 


o 9 55 


0964 


o 97 3 


o 9 83 


0992 


1002 55 


4 


424o 


4249 


4258 


4267 


42 7 6 


4285 


55 


5 


ion 


1020 


io3o 


1039 


io48 


io58 


54 


5 


4a 9 4 


43o3 


43n 


4320 


432 9 


4338 


54 


6 


io6 7 


10-76 


1086 


1095 


no4 


in3 


53 


6 


4347 


4356 


4365 


43 7 4 


4383 


43 9 2 


53 


7 


1123 


1 1 32 


n4i 


n5i 


1160 


1169 


52 


7 


44oo 


4409 


44i8 


4427 


4436 


4445 


52 


8 


n 79 


1188 


119-7 


1207 


1216 


1225 


5i 


8 


4454 


4463 


447i 


448o 


448 9 


4498 


5i 


9 


1235 


1244 


1253 


1263 


12-72 


I28l 


5o 


9 


45o 7 


45i6 


45 2 5 


4534 


4542 


455i 


5o 


10 


9.961290 


i3oo 


i3o 9 


i3i8 


i3 2 8 


i33 7 


49 


10 


9.964560 


456 9 


45 7 8 


458 7 


45 9 6 


46o4 


4 9 


ii 


1 346 


i356 


i365 i3 7 4 


1 383 


i3 9 3 


48 


ii 


46i3 


4622463i 


464o 


4649 


4658 


48 


12 


1402 


i4n 


i4ax i43o 


i43 9 


1 448 


47 


12 


4666 


46 7 5 


4684 


46 9 3 


4 7 02 


4711 


47 


i3 


i458 


i46 7 


i4 7 6 i485 


i4g5 


i5o4 


46 


i3 


4-720 


4728 


4 7 3 7 


4746 


4 7 55 


4764 


46 


i4 


i5i3 


i5 2 3 


i532 i54i 


i55o 


i56o 


45 


i4 


4773 


4781 


4790 


4799 


48o8 


48i 7 


45 


i5 


1 569 


i5 7 8 


i $871597 


1606 


i6i5 


44 


i5 


4826 


4834 


4843 


4852 


486i 


48 7 o 


44 


16 


1624 


i634 


1 643x659 


1661 


i6 7 i 


43 


16 


48 79 


488 7 


48 9 6 


4go5 


4914 


4 9 23 


43 


17 


1680 


1689 


i6 9 8 1708 


I 7 i 7 1-726 


42 


'7 


4 9 3i 


4g4o 


4 9 4o 


4 9 58 


4 9 6 7 


4 97 5 


42 


18 


i 7 35 


i 7 45 


1754 1763 


I 77 2 I 7 82 


4i 


18 


4 9 84 


4 99 3 


5OO2 


Son 


502O 


5028 4i 


1 9 


1-791 


1800 


i8o 9 1819 


1828 


i83 7 


4o 


19 


5o3 7 


5o46 


5o55 


5o64 


5o 7 2 


5o8i 


4o 


20 


9.961846 


i856 


i865 1874 


i883 


1892 


3 9 


20 


9.965090 


5o 99 


5io 7 


5n6 


5i25 


5i34 


3 9 


21 


1902 


191 1 


1920 1929 


i 9 3 9 


1948 


38 


21 


5i43 


5i5i 


5i6o 


5i6 9 


5i 7 8 


5187 


38 


22 


i 9 5 7 


1966 


1975 1985 


1 99 4 


2OO3 


37 


22 


5i 9 5 


52o4 


52i3 


5222 


523o 


5239 


37 


23 


2012 


2021 


2o3l 2o4o 


2049 


2o58 


36 


23 


5248 


5 2 5 7 


5266 


52 7 4 


5283 


5292 


36 


24 


2O6 7 


20 77 


2O86 2095 


2104 


2Il3 


35 


24 


53oi 


53o 9 53i8 


532 7 


5336 


5344 


35 


25 


2123 


2132 


2l4l 2l5o 


2 I 59 


2169 


34 


25 


5353 


5362 


53 7 i 


53 79 


5388 


53 97 


34 


26 


2I 7 8 


2l8 7 


2196 2205 


22l4 


2224 


33 


26 


54o6 


54i4 


5423 


5432 


544 1 


544 9 


33 


27 


2233 


2242 


225l 226O 


2269 


22-79 


32 


27 


5458 


546 7 


54 7 6 


5484 


54 9 3 


55o2 


32 


28 


2288 


229 7 


23o623i5 2325 


2334 


3i 


28 


55u 


55i 9 


55 2 8 


553 7 


5546 


5554 


3i 


29 


2343 2352 236i 23 7 o 23-79 


2389 


3o 


29 


5563 


55 72 


558o 


558 9 


5598 


56o 7 


3o 


3c 9.962398 24o 7 2416 2425 2434 


2444 


29 


3o 


9 . 9 656i5 


5624 


5633 


5642 


565o 


565 9 


2 9 


3i 


2453 2462:2471 2480 2489 2498 


28 


3i 


5668 


56 7 6 


5685 


56 9 4 


5-702 


5 7 i i 


28 


32 


25o8 


2 5i 7 2526 2535 2544 2553 


27 


32 


5 7 2o 


5 7 2 9 


5 7 3 7 


5 7 46 


5 7 55 


5 7 63 


2 7 


33 


2562 


25-72 258i 2590 2599 2608 


26 


33 


5772 


5 7 8i 


5 79 o 


5 79 8 


58o 7 


58i6 


26 


34 


261-7 


2626 


2635 2645|2654 2663 


25 


34 


5824 


5833 


5842 


585o 


585 9 


5868 


25 


35 


26-72 


2681 


2690 2699:2708,2717 


24 


35 


58 7 6 


5885 


58 9 4 


5 9 O2 


5911 


5 9 20 


24 


36 


2 7 2 7 


2 7 36 


2745 2754 2763 2772 


23 


36 


5 9 2 9 


5 9 3 7 


5 9 46 


5 9 55 


5 9 63 


5 97 2 


23 


3? 


2-781 


2 79 


2799 2809:2818 


282 7 


22 


37 


5981 


5 9 8 9 


5 99 8 


600-7 


6oi5 


6024 


22 


38 


2836 


2845 


285428632872 


2881 


21 


38 


6o33 


6o4i 


6o5o 


6o5 9 


6o6 7 


60-76 


21 


39 


2890 


2899 


2909 2918 2927 


2 9 36 


2O 


3 9 


6o85 


6o 9 3 


6102 


6111 


6119 


6128 


20 


4o 


9.962945 


2 9 54 


2963 2972 2981 2990 


19 


4o 


9.966136 


6i45 


6i54 


6162 


61-71 


6180 


'9 


4i 


2999 


3oo8 


3oi8 3027 


3o36 3o45 


18 


4i 


6188 


6i 97 


6206 


6214 


6223 


6232 


18 


42 


3o54 


3o63 


3072 3o8i 3090 3099 


'7 


42 


6240 


624 9 


6 2 5 7 


6266 


62 7 5 


6283 


1 7 


43 


3io8|3n 7 


3i263i353i443i53 


16 


43 


6292 


63oi 


63o 9 


63i8 


63266335 


16 


44 


3i63|3i 7 2 


3i8i 31903199 


3208 


i5 


44 


6344 


6352 


636i 


63 7 o 


63 7 8638 7 i5 


45 


32I 7 


3226 


323532443253 


3262 


i4 


45 


63 9 5 


64o4 


64i3 


6421 643o6438;i4 


46 


32 7 I 


3280 


3289*3298 


33o 7 


33i6 


i3 


46 


6447 


6456 


6464 


64 7 3 6482 64 9 o ! i3 


47 

48 

5i 


3325 
33 79 
. 3434 
9.963488 
3542 


3334 
3388 
3443 

34 9 7 
355i 


3343 
33 9 8 
3452 
35o6 
356o 


3352 
34o 7 
346 1 
35i5 
356 9 


336i 
34i6 
3470 
3524 
35 7 8 


33 7 o 

3425 

3479 
3533 
358 7 


12 
II 
IO 

9 

8 


t-OO O> O i- 
xt xt xt vo to 


64 99 
655o 
6602 
9 . 9 66653 


65o 7 
6559 
6610 
6662 
6 7 i3 


65i6 
656 7 
66i 9 
66 7 o 

6 7 22 


652565336542 
65 7 6658565 9 3 
6628663616645 
667966886696 
678067896748 


12 
II 
10 

9 

S* 


52 


3596 


36o5 


36i4 


36233632 


364i 


7 


52 


6 7 56 


6 7 65 


6 77 3 


6-782 6 79 oj6 7 9 9 


7 


53 


365o 


365 9 


3668 


3677 3686 


3695 


6 


53 


6808 


6816 


6825 


6833 


6842 685o 


6 


54 


3 7 o4 


3 7 i3 


3722 


3 7 3o3 7 3 9 


3 7 48 


5 


54 


685 9 


686-7 


68-76 


6884 


68 9 3 


6 9 02 


5 


55 


3 7 5 7 


3766 


3 77 5 


3 7 84i3 79 3 


38o2 


4 


55 


6910 


6 9 i 9 


6 9 2 7 |6 9 36 


6 9 44 


6 9 53 


4 


56 


38n 


3820 


3829 


3838 384 7 


3856 


3 


56 


6961 


6 97 o 


6 97 8 


6987 


6 99 5 


7 oo4 


:; 


57 


3865 


38 7 4 


3883 


38 9 2 3 9 oi 


3910 


2 


5; 


7013 7021 


7 o3o 


7o38 


7047 


7 o55 


2 


58 
5 9 


3 9 i 9 
3972 


3 9 28 
3 9 8i 


3 9 3 7 
3990 


3946:3955 
3999 4oo8 


3 9 63 
4017 


I 
O 


58 
5 9 


7064 7072 
71 i5j 7 i23 


7 o8i 

7 l32 


7089 7098 7106 
7 i4o 7 i49' 7 i57 


i 






60" 


50" 


40" 


30" 20" 


10" 


.c 




60" 50" | 40" 30" 20" | 10" 




Co-sine of 23 Degrees. 






Co-sine of 22 Degrees. s 


.< 1" 2" 3" 4" 5" 6" 7" 8" 9" 
llt $1234 55 67 8 


.( 1" -2" 3" 4" 5 /; 6" 7" 3" 9" 
irt ) 123345678 



LOGARITHMIC TANGENTS. 



91 



c 


Tangent of 66 Degrees. 




s 


Tangent of 67 Degrees. 




2 


0" 


10" 


20" 


30" 


40" 


50" 




55 


0" 


10" 


20 / 


30" 


40' | 50" 




o 


o.35i4i7 


i474 


i53o 


i58 7 


644 


700 


5 9 





10.372148 


22O 7 


2265 


2324 


2382 


244 1 


9 


I 


1757 


i8i4 


1870 


I 9 2 7 


9 84 


o4o 


58 


i 


2499 


2558 


2617 


2 6 7 5 


2734 


2 79 2 


8 


2 


2097 


2i54 


221 I 


2267 


2324 


z38i 


5 7 


2 


285i 


2910 


2 9 68 


3o2 7 


3o85 


3i44 


7 


3 


2438 


2494 


255l 


2608 


2665 


2721 


56 


3 


32o3 


261 


3320 


3379 


3437 


34 9 6 


6 


4 


2778 


2 835 


28 9 2 


2 9 4 9 


Ioo5 


3o62 


55 


4 


3555 


36i3 


i6 7 2 


3 7 3i 


3789 


3848 


5 


5 


3119 


3: 7 6 


3233 


32 9 O 


3346 


34o3 


54 


5 


3 9 o 7 


3965 


^024 


4o83 


4i42 


4200 


4 


6 


346o 


35i 7 


35 7 4 


363i 


3687 


3 7 44 


53 


6 


425 9 


43i8 


43 77 


4435 


44 9 4 


4553 


3 


7 


38oi 


3858 


3 9 i5 


3 97 2 


iO2 9 


4086 


52 


7 


4612 


i6 7 o 


4?2 9 


4 7 88 


4847 


, 9 o6 


2 


8 


4i43 


4199 


4256 


43i3 


43 7 


427 


5i 


8 


4 9 64 


5o23 


5o82 


5:4i 


52OO 


5 2 58 


I 


9 


4484 


454i 


45 9 8 


4655 


47^2 


4769 


5o 


9 


53i 7 


53 7 6 


5435 


54 9 4 


5553 


56i2 


o 


10 


354826 


4883 


4 9 4o 


4997 


5o54 


5m 


4 9 


10 


10.375670 


5 7 29 


5 7 88 


5847 


5 9 o6 


5 9 65 


9 


ii 


5i68 


5225 


5282 


533 9 


53 9 6 


5453 


48 


ii 


6024 


6o83 


6142 


6200 


625 9 


63i8 


8 


12 


55io 


556 7 


56 2 4 


568i 


5 7 3 


5 79 5 


4 7 


12 


63 7 7 


6436 


64 9 5 


6554 


66i3 


66 7 2 


47 


i3 


5852 


5 9 o 9 


5 9 66 


6023 


6080 


6i3 7 


46 


i3 


6 7 3i 


6-790 


684 9 


6 9 o8 


6 9 67 


7026 


46 


M 


6194 


6261 


63o 9 


6366 


6423 


648o 


45 


i4 


7 o85 


7i44 


7 203 


7262 


7 32I 


738o 


45 


i5 


6537 


65 9 4 


665 i 


6708 


6 7 65 


6823 


44 


i5 


7 43 9 


7498 


7 55 7 


7616 


7 6 7 5 


7734 


44 


16 


6880 


6 9 3 7 


6 99 4 


7o5i 


7108 


7 i66 


43 


16 


779 3 


7 853 


79 I2 


797 1 


8o3o 


8o8 9 


43 


J 7 


7223 


7280 


7 33 7 


7 3 9 4 


745 1 


7 5o 9 


42 


17 


8i48 


8267 


8266 


83 2 5 


8384 


8444 


.2 


18 


7566 


7 6 2 3 


7 68o 


77 3 7 


779 5 


7 852 


4i 


18 


85o3 


8562 


8621 


8680 


8 7 3 9 


8 799 


I 


: 9 


7909 


7 9 G6 


8024 


8081 


8i38 


8i 9 5 


4o 


J 9 


8858 


8917 


8 97 6 


9 o35 


9 o 9 4 


9 i54 


^0 


20 


0.358253 


83io 


8367 


8425 


8482 


853 9 


3 9 


20 


io.3 79 2i3 


9272 


9 33i 


9 3 9 o 


9 45o 


9 5o 9 


3 9 


21 


85 9 6 


8654 


8711 


8 7 68 


8826 


8883 


38 


21 


9 568 


9627 


9 68 7 


9 746 


9 8o5 


9 864 


38 


22 


8940 


8 99 8 


9 o55 


9 II2 


9 J 7 


9 22 7 


37 


22 


99 24 


99 83 


.42 


. IO2 


.161 


.220 


3 7 


23 


9284 


0342 


9 3 99 


9 456 


9 5i4 


9^71 


36 


23 


o. 080280 


o33 9 


o3 9 8 


o45 7 


o5i 7 


o5 7 6 


36 


24 


9629 


9 686 


9743 


9 8oi 


9 858 


99 i6 


35 


24 


o636 


oo v 5 


o 7 54 


0814 


o8 7 3 


9 32 


35 


25 


99?3 


..3i 


..88 


.i45 


.203 


.260 


34 


25 


99 2 


io5i 


IIIO 


1170 


I22 9 


1289 


34 


26 


o.36o3i8 


o3 7 5 


o433 


o4 9 o 


o548 


o6o5 


33 


26 


1 348 


i4o 7 


i46 7 


i5 2 6 


i586 


1 645 


33 


27 


o663 


0720 


o 77 8 


o835 


o8 9 3 


o 9 5o 


32 


2 7 


I 7 o5 


1764 


1824 


i883 


i 9 43 


20O2 


32 


28 


1008 


io65 


1123 


1180 


1238 


I2 9 5 


3i 


28 


2061 


2121 


2180 


2240 


22 99 


235 9 


3i 


20 


i353 


i4i 


1 46*8 


i5 2 5 


i583 


i64i 


3o 


2 9 


2418 


24 7 8 


2538 


2 5 97 


265 7 


2716 


3o 


3o 


10.361698 


i 7 56 


i8i3 


1871 


I 9 28 


i 9 86 


29 


3o 


io.382 77 6 


2835 


28 9 5 


2 9 54 


3oi4 


3074 


2 9 


3i 


2044 


2101 


2l5 9 


2217 


22 ? 4 


2332 


28 


3i 


3i33 


3i 9 3 


3252 


33i2 


33 7 2 


343i 


28 


32 


238 9 


2447 


2 5o5 


2562 


2620 


2678 


27 


32 


34 9 i 


355o 


36io 


36 7 o 


3 7 2 9 


3 7 8 9 


2 7 


33 


2 7 35 


27 9 3 


2 85i 


2 9 o8 


2 9 66 


3024 


26 


33 


384 9 


3 9 o8 


3 9 68 


4028 


4o8 7 


4i47 


26 


34 


3o8i 


3i3 9 


3i 97 


3255 


33i2 


3370 


25 


34 


420-7 


4266 


4326 


4386 


4445 


45o5 


25 


35 


3428 


3486 


3543 


36oi 


365 9 


3717 


24 


35 


4565 


46 2 5 


4684 


4744 


48o4 


4864 


24 


36 


3 77 4 


3832 


38 9 o 


3 9 48 


4oo5 


4o63 


23 


36 


4 9 23 


4 9 83 


5o43 


5io: 


5i62 


5222 


23 


37 


4l2I 


4i79 


423 7 


42 9 4 


4352 


44io 


22 


37 


5282 


5342 


54o2 


546i 


552i 


558i 


22 


38 


4468 


45 2 6 


4584 


464i 


46 99 


4 7 5 7 


21 


38 


564i 


5 7 oi 


5 7 6i 


5820 


588o 


5 9 4o 


21 


3 9 


48i5 


48 7 3 


4 9 3i 


4 9 8 9 


5o46 


5io^ 


20 


3 9 


6000 


6060 


6120 


6180 


6240 


62 99 


2O 


4o 


io.365i62 


5220 


5278 


5336 


53 9 4 


5452 


1 9 


4o 


io.38635 9 


64i 9 


6479 


653 9 


65 99 


665 9 


I 9 


4i 


55io 


5568 


5626 


5684 


5 7 4i 


5 799 


18 


4i 


67i 9 


6779 


683 9 


68 99 


6 9 5 9 


7 OI 9 


18 


4s 


585 7 


5 9 i5 


5 97 3 


6o3i 


6o8 9 


6i4 7 


J 7 


42 


779 


7 l3 9 


7199 


7 25 9 


73i 9 


7379 


17 


43 


6205 


6262 


632i 


637 9 


643 7 


64 9 5 


16 


43 


7 43 9 


74 99 


7 55 9 


76i 9 


7 6 79 


7739 


16 


44 


6553 


6611 


666 9 


6727 


6 7 85 


6843 


i5 


44 


7799 


785 9 


79 i 9 


7979 


8o3 9 


8o 99 


i5 


45 


6901 


6 9 6o 


7018 


7076 


7 1 34 


7 I 9 2 


i4 


45 


8i5 9 


82I 9 


82 79 


833 9 


83 99 


846o 


i4 


46 


725o 


7 3o8 


7 366 


742^ 


7 48 2 


7 54o 


i3 


46 


8520 


858o 


864o 


8700 


8 7 6o 


8820 


i3 


47 


7 5 9 8 


7 65 7 


77 i5 


777 3 


7 83i 


7 88 9 


12 


47 


8880 


8 9 4i 


9 ooi 


9061 


9 I2I 


9 i8i 


12 


48 


7947 


8oo5 


8o64 


8122 


8180 


8238 


II 


48 


9 24l 


9 302 


9 362 


9 422 


9 48 2 


9 542 


II 


49 


8296 


8354 


84:3 


84? i 


852 9 


858 7 


10 


49 


9 6oc 


9 663 


97 23 


97 83 


9 844 


99 o4 


IO 


5o 


io.368645 


8 7 o^ 


8762 


8820 


88 7 8 


8 9 3 7 


9 


5o 


io.38 99 6^ 


. .22 


..85 


.145 


.205 


.265 


9 


5i 


8 99 5 


9 o53 


9 m 


9 i 7 o 


9 228 


9 28 


8 


5i 


io.3 9 o326 


o386 


o446 


o5o7 


0567 


0627 


8 


52 


9344 


9 4o3 


9 46i 


9 5i 9 


9 5 7 8 


9 636 


7 


52 


0688 


o 7 48 


0808 


o86 9 


O 9 2 9 


o 9 8 9 


7 


53 


9 6 9^ 


97 53 


9811 


9 86 9 


99 2 7 


99 86 


6 


53 


io5o 


IIIO 


II 7 


I23l 


I2 9 I,l352 


6 


54 


10.37004^ 


oio3 


0161 


O2I 9 


02 7 8 


o336 


c 


54 


1412 


I4 7 2 


i533 


i5 9 3 


i654 


I7i4 


5 


55 


o3 9 ^ 


o453 


o5n 


o56 9 


0628 


0686 


L 


55 


i 77 5 


i835 


i8 9 5 


i 9 56 


2016 


2077 


4 


56 


o 7 45 


o8o3 


0862 


O 9 2O 


0978 


1037 


c 


56 


2l3 7 


2I 9 8 


2258 


23i 9 


2 3 79 


244o 


3 


^7 


1095 


1 1 54 


1212 


I27l|l32 9 


i388 


2 


5 7 


25oo 


2 56i 


2621 


2682 


2 7 42 


28o3 


2 


58 


1 446 


i5o4li563 


1621 1680 


1738 


I 


58 


2863 


2 9 2^ 


2 9 85 


3o45 


3io6 


3i66 


I 


5 9 


1797 


i855 i 9 i4 


I 9 72|2o3l 


2O 9 





5 9 


322 7 


328-7 3348 


3409 


3469 


353o 


O 




60" 


50" | 40" 


30" 20" 


10" 


d 




60" | 50" 40" 


30" 20" 


10" 







Co-tangent of 23 Degrees. 


% 




Co- tangent of 22 Degrees. 





,(1" 2" 3" 4" 5" 6" 7" 8" 9" II p p .( I" 2" 3" 4" 5" 6" 7" 8" 9'' 
lrt { 6 12 17 23 29 35 40 46 52 irt 6 12 18 24 30 36 42 48 54 



LOGARITHMIC JSlNES. 



.a 


Sine of 68 Degrees. 




Jj 


Sine of 69 Degrees. 




i 


0" 


10" 


20" 30" 40" 


50" 




s 


0" 


10" 


20" 


30" 


40" 


50" 




o 


9.967166 


7174 


7l83 7191 7200 


7208 


5 9 


o 


9 970152 


0160 


0168 


OI 7 6 


0184 


OI 9 2 


5 9 


I 


7217 


7225 


72347242 7251 


725 9 


58 


I 


O2OO 


0208 


O2l6 


0222 


023: 


0241 


58 


2 


7268 


7276 


7285 7293 7302 


73io 


5? 


2 


O249 


0257 


0265 


027: 


0281 


028 9 


57 


c 


7319 


7327 


733673447353 


7 36i 


56 


r 


0297 


o3o5 


o3i3 


0321 


o32 9 


o33 7 


56 


L 


7 3 7 o 


7378 


73877395 7 4o4 


7412 


55 


4 


o345 


o353 


o36i 


o3 7 o 


o3 7 8 


o386 


55 


i 


7 42I 


7429 


7 43 7 7 446 7 454 


7463 


54 


f 


0394 


O4O2 


o4io 


o4i8 


0426 


o434 


54 


6 


7 4 7 i 


7480 


7 488 7 49 7 7 5o5 


7 5i4 


53 


6 


0442 


o45o 


o458 


o466 


o4 7 4 


0482 


53 


7 


7 522 


7 53i 


7 539 7 54 7 7 556 


7 564 


52 


"3 


0490 


0498 


o5o6 


o5i4 


0522 


o53o 


5 2 


8 


7 5 7 3 


7 58i 


7590 7598 7607 


7 6i5 


5i 




o538 


o546 


o554 


o56 2 


o5 7 o 


o5 7 8 


5i 


9 


7624 


7 632 


7640 7649 7657 


7 666 


5o 


9 


o586 


0594 


o6o2 


0611 


o6i 9 


0627 


5o 


10 


9 . 9 6 7 6 7 /i 


7683 


7691 7699 7708 


77 i6 


49 


10 


9.970635 


o643 


o65i 


o65 9 


o66 7 


o6 7 5 


4 9 


ii 


77 25 


7733 


774277507758 


7767 


48 


ii 


o683 


0691 


o6 99 


o 7 o 7 


o 7 i5 


0723 


48 


12 


7775 


7784 


7792 7801 7809 


7 8i 7 4 7 


12 


0731 


o 7 3 9 


o 7 4 7 


o 7 55 


o 7 63 


0771 


47 


i3 


7826 


7 834 7843 7 85i 7 85 9 


7 868 46- 


i3 


0779 


0787 


o 79 5 


o8o3 


0811 


o8i 9 


46 


i4 


7 8 7 6 


7885 


7893 7901 7910 


79 i845 


i4 


0827 


o835 


0842 


o85o 


o858 


0866 


45 


iS 


79 2 7 


7935 


7 9 43 7 9 52 7960 


79 6 9 44 


i5 


0874 


0882 


o8 9 o 


o8 9 8 


o 9 o6 


o 9 i4 


44 


16 


7977 


7985 


7994 8002 8011 


8019 


43 


16 


0922 


ogSo 


o 9 38 


o 9 46 


o 9 54 


O 9 62 


43 


17 


802 7 


8o36 8o44 8x>53 8061 


8o6 9 


42 


17 


0970 


0978 


o 9 86 


o 99 4 


1 002 


1010 


42 


18 


8o 7 8 


8086 8094 8io38in 


8120 


4i 


18 


1018 


1026 


io34 


1042 


io5o 


io58 


4i 


'9 


8128 


8i368i458i538i6i 


8i 7 o 


4o 


19 


1066 1073 


1081 


io8 9 


io 97 


no5 


4o 


20 


9.968i 7 8 


8i8 7 


8i 9 582o3 


8212 


8220 


39 


20 


9.971113 


II2I 


II2 9 


u3 7 


n45 


n53 


39 


21 


8228 




S245 82538262 


8270 


38 


21 


1161 


1169 


1177 


n85 


iz 9 3 


1 200 


38 


22 


82 7 8 


---/ 


82 9 583o3|83i2 


8320 


37 


22 


1208 


1216 


1224 


1232 




1248 


37 


23 


832 9 


833 7 


8345,83548362 


83-p 


36 


23 


1256 


1264 


1272 


1280 


1288 


I2 9 6 


36 


24 


83 7 9 


838 7 


83 9 584o484i2 


8420 


35 


34 


i3o3 


i3n 


i3i 9 


I32 ? 


i335 


1 343 


35 


25 

26 


8429 
84 7 9 


843 7 8445|b454 8462 


84 7 o 
8520 


34 
33 


25 

26 


i35i 
i3 9 8 


i4o6 


i36 7 
i4i4 


i3 7 5 


i383 
i43o 


i3 9 o 

i438 


34 
33 


27 


85 2 8 


853 7 8545 ! 8553 


8562 


85 7 o 


32 


27 


1 446 


1 4 *>. 1462 


i46 9 


1477 


i485 


32 


28 


85 7 8 


858 7 85 9 586o3 


8612 


8620 


3i 


28 


1493 


i5oi 


i5o 9 


i5i 7 


i525 


i53 2 3i 


29 


8628 


863686458653866i 


8670 


3o 


29 


i54o 


1 548 


i556 


1 564 


1572 


i58o 


3o 


3o 


9.9686 7 8 


86868694|8 7 o38 7 n 


87i 9 


29 


3o 


9.971588 


i5 9 5 


i6o3 


i6ji 


i6i 9 


1627 


2 9 


3i 


8 7 28 


8 7 368 7 44 


8 7 52 


8761 


8 7 6 9 


28 


3i 


i635 


i643 


i65i 


i658 


1666 


1674 


28 


32 


8777 


8786 8794 


88028810 


88i 9 


27 


32 


1682 


1690 


i6 9 8 


I 7 o6 


I 7 i3 


1721 


2 7 


33 


882-7 


8835 8844 


8852 8860 


8868 


26 


33 


1729 


I 7 3 7 


1745 


i 7 53 


1761 


1768 


26 


34 


88 77 


8885 88 9 3 


8901 


8910 


8 9 i8 


25 


34 


1776 


i 7 84 


170.2 


1800 


1808 


i8i5 25 


35 


8926 


8 9 34 8 9 43 


8 9 5i 


8 9 5 9 


8967 


24 


35 


1823 


i83i 


i83 9 


i84 7 


i855 


1862124 


36 


8 97 6 


8984 


8992 


9000 


9 oo 9 


9017 


23 


36 


1870 


i8 7 8 


1886 


i8 9 4 


I 9 02 


1909 23 


37 


9025 


9033 


9042 


9o5o 


9 o58 


9066 


22 


37 


1917 


I 9 25 


i 9 33 


i 9 4i 


I 9 4 9 


I 9 56 22 


38 


9 o 7 5 


9083 9091 


9099 


9 io8 9 n6 


21 


38 


1964 


I 97 2 


i 9 8o 


i 9 88 


i 99 5 


20O3 21 


3 9 


9124 


9132 9141 


9149 


9167 9 i65 


20 


39 


201 1 


20I 9 


2027 


2o34 


2O42 


2o5o 20 


4o 


9.969173 


9182 9190 


9198 


92069215 


'9 


4o 


9.972O58 


2066 


2073 


2081 


208 9 


20 9 7 


i 9 


4i 


9223 


923i 9239 


9247 


9 256 9264 


18 


4i 


2IO5 


2112 


2120 


2128 


2i36 


2144 


i a 


42 


9272 


92809288 


9297 


93o5 93i3 


17 


42 


2l5l 


2l5 9 


2167 


*I 7 5 


2i83 


2I 9 


i 7 


43 


9321 


93299338 


9 346 


9 3549362 


16 


43 


2198 


22O6 22l4 


2221 


222 9 


223 ? 


16 


44 


9 3 7 o 


93799387 


9 3 9 5 


9403,9411 


i5 


44 


2245 


2253 


226O 


2268 


2276 


2284 


i5 


45 


9420 


9428 9436 


9 444 


9 452| 9 46i 


i4 


45 


2291 


22 99 


2307 


23i5 


J322 


233o 


i4 


46 


9469 


94779485 


9 4 9 3 


gSoi gSio 


i3 


46 


2338 


2346 


2354 


236i 


236 9 


2 3 77 


i3 


47 


95i8 


95269534 


9 542 


gSSogSSg 


12 


47 


2385 


23 9 2 


2400 


2408 


2416 


2423 


12 


48 


9567 


95759583 


9 5 9 i 


9599 9608 


II 


48 


243i 


243 9 


244 7 


2454 


2462 


24 7 


II 


49 


9616 


96249632 


9640 


9648*9657 


10 


49 


2478 


2485 


24 9 3 


25oi 


2 5 08 


2 5i6 


IO 


5o 


9.969665 


96739681 


9 68 9 


96979705 


9 


5o 


9.972524 


2532 


253 9 


2547 


2555 


2563 


9 


5i 


9714 


97229730 


9738 


97469754 


8 


5i 


2570 


2 5 7 8 


2 586 


25 9 3 


2601 


26o 9 


8 


52 


9762 


9771 9779 


9787 


979 5 9 8o3 


7 


52 


2617 


2624 


2632 


2640 


2648 2655 


7 


53 


9811 


98199828 


9 836 


9 844 9 85 2 


6 


53 


2663 


26 7 I 


2678 


2686 


260,4 2701 


6 


54 


9860 


98689876 


9 884 


9893 9901 


5 


54 


2709 


2717 


2725 


2 7 32 


2740 


2 7 48 


5 


55 


9909 


99179925 


99 33 


99 4i 9949 


4 


55 


2 7 55 


2 7 63 


2771 


2 77 8 


2786 


2 79 4 


4 


56 
57 


99 57 99 66 99 74 
9 . 9 7ooo6 ooi4 0022 


9982 
oo3o 


999 9998 
oo38 0047 


3 

2 


56 

5 7 


2802 2809 
2 848 2855 


28172825 
2863,2871 


2832 

2878 


2840 
2886 


3 

2 


58 oo55 


oo63 0071 


0079 


0087 oo 9 5 


I 


58 


28 9 4 2 9 OI 


2 9 9 2 9 I7 2 9 24 2 9 32 I 


5 9 


oio3oiii 0119012701 36 oi 44 


o 


59 


2 9 4o 2 9 4729552963 2 97 20.78 o 




60" 50" 


40" i 30" 20" 10" | e . 




60" i 50" : 40" 30" 20" 10" . 




Co-sine of 21 Degrees. S 




Co-sine of 20 Degrees. 


f ^// 2" 3" 


4" 5" 6" 7" 8" 9" 


D . < 1" 2" 3" 4". 5" 6" 7" 8" 9" 


P. Part j ! o 2 


345677 ul/ > 1 2 2 3 4 5 fi 6 7 



LOGARITHMIC TANGENTS. 



1 


Tangent of 68 Degrees. 




A 


Tangent of 69 Degrees. 




X 


0" 


10" 1 20" | 30" 


40" 


50" 




s 


0" 


10" | 20" 


30" 40" | 50" 




o 

i 


10.393590 
3 9 54 


365i 
4oi5 


3712^772 

4o 7 6i4i36 


3833 
4i 9 7 


38 9 4 
4258 


5o 

58 




i 


io.4i5823 
6200 


5886 
6263 


5 9 48 
63 2 6 


6oi I 6074)6137 

638 9 645 2 '65i5 


5o 

58 


2 


43i8 


43 79 


444o 45oo 


456i 


4622 


57 


t] 


65 7 8 


664i 


6704 


6767 


683o 


68 9 3 


57 


4 


4683 
5o47 


4 7 43 
5io8 


48o4 
5i6 9 


4865 

522 9 


4 9 26 
52 9 


&! 


56 
55 


4 


6 9 56 
7 335 


7 O20 

7 3 9 8 


7083 
746 1 


7i46 
7524 


7209 

7 58 7 


7272 
765o 


56 
55 


c 


5412 


5473 


5533 


55 9 4 


5655 


5 7 i6 


54 


c 


77 i4 


7777 


7 84o 


79 3 


7966 


8o2 9 


54 


6 


5777 


5838 


58 9 8 


5 9 5 9 


6020 


6081 


53 


6 


8o 9 3 


8i56 


82I 9 


8282 


8345 


84o 9 


53 


7 


6142 


6 2 o3 


6264 


63 2 5 


6385 


6446 


52 


7 


8472 


8535 


85 9 8 


8661 


8 7 25 


8788 


52 


9 


65o 7 


6568 


662 9 


66 9 o 


6 7 5i 


6812 


5i 




885i 


8 9 i4 


8978 


9 o4i 


9104 


9 i68 


5i 


9 


6873 


6 9 34 


6 99 5 


7 o56 


7117 


7178 


5o 


9 


9 23l 


9 2 9 4 


9 358 


9 42I 


9484 


9 5 47 


5o 


10 


10.397239 


73oo 


736i 


7422 


7483 


7 544 


49 


10 


10.419611 


9 6 7 4 


9738 


9 8oi 


9 864 


99 28 


4 9 


ii 


7605 


7666 


7727 


7788 


784 9 


79 io 


48 


II 


9991 


..54 


.118 


.181 


.245 


.3o8 




12 


7971 


8o32 


8o 9 3 


8i54 


8 2 i5 


82 7 6 


47 


12 


I0.4203 7 I 


o435 


0498 


o562 


0625 


o68 9 


47 


j3 


8337 


83 99 


846o 


852i 


858 2 


8643 


46 


i3 


O 7 52 


0816 


0879 


o 9 43 


1006 


1070 


46 


i4 


8704 


8 7 65 


8826 


8888 


8 9 4 9 


9010 


45 


i4 


n33 


n 97 


1260 


1324 


i38 7 


i45i 


45 


i5 


9071 


9 l32 


9 i 9 4 


92 55 


9 3i6 


9 3 77 


44 


i5 


i5i4 


i5 7 8 


i64i 


I 7 o5 


1769 


i832 


44 


16 


9 438 


9 5oo 


9 56i 


9 622 


9 683 


9744 


43 


16 


1896 


i 9 5 9 


2023 


2086 


2i5o 


22l4 


43 


J 7 


9806 


9867 


99 28 


99 8 9 


..5! 


. 112 


42 


l l 


22 77 


234l 


24o5 


2468 


2532 


25 9 6 


42 


18 


10.400173 


0235 


O2 9 6 


o357 


o4i 9 


0480 


4i 


18 


2659 


2 7 23 


2787 


2 85o 


2914 


2 97 8 


4i 


J 9 


o54i 


0602 


o664 


0725 


o 7 8 7 


o848 


4o 


Z 9 


3o4i 


3io5 


3i6 9 


3233 


3296 


336o 


4o 


20 


10.400909 


0971 


1032 


io 9 3 


n55 


1216 


3 9 


20 


10.423424 


3488 


355; 


36i5 


36 79 


3 7 43 


3 9 


21 


1278 


i33 9 


i4oo 


1462 


i523 


i585 


38 


21 


38o 7 


38 7 o 


3 9 34 


3 99 8 


4062 


4126 


38 


22 


1 646 


1707 


i 7 6 9 


i83o 


l8 9 2 


1953 


37 


22 


4190 


4253 


43i 7 


438i 


4445 


45o 9 


37 


23 


2Ol5 


2076 


2i38 


2I 99 


2261 


2322 


36 


23 


45 7 3 


463 7 


4701 


4764 


4828 


48 9 2 


36 


24 


2384 


2445 


2507 


2568 


263o 


2691 


35 


24 


4g56 


502O 


5o84 


5i48 


5212 


52 7 6 


35 


25 


2 7 53 


2 8i5 


2876 


2 9 38 


2 999 


3o6i 


34 


25 


534o 


54o4 


5468 


5532 


55 9 6 


566o 


34 


26 


3l22 


3i84 


3246 


33o 7 


336 9 


343o 


33 


26 


5724 


5 7 88 


5852 


5 9 i6 


5980 


6o44 


33 


27 


3492 


3554 


36i5 


36 7 7 


3 7 3 9 


38oo 


32 


27 


6108 


6172 


6236 


63oo 


6364 


642 9 


32 


28 


3862 


3 9 24 


3 9 85 


4o47 


4io 9 


4170 


3i 


28 


6493 


6557 


6621 


6685 


6749 


68i3 


3i 


29 


4232 


42 9 4 


4356 


44i7 


44 79 


454i 


3o 


2 9 


6877 


6 9 4i 


7006 


7 o 7 o 


7i34 


7 i 9 8 


3o 


3o 


io.4o46o2 


4664 


4726 


4788 


485o 


4911 


29 


3o 


10.427262 


7 32 7 


7 3 9 i 


7 455 


7 5i 9 


7 583 


2 9 


3i 


4973 


5o35 


5o 97 


5i58 


5220 


5282 


28 


3i 


7 648 


7712 


7776 


7 84o 


7905 


7969 


28 


3 2 : 


5344 


54o6 


5468 


552 9 


55 9 i 


5653 


27 


32 


8o33 


8o 9 7 


8162 


8226 


8290 


8355 


2 7 


3$ 


5 7 i5 


5777 


583 9 


5 9 oi 


5 9 62 


6024 


26 


33 


84i 9 


8483 


8548 


8612 


8676 


8741 


26 


34 


6086 


6i48 


6210 


6272 


6334 


63 9 6 


25 


34 


88o5 


886 9 


8 9 34 


8998 


9062 


9 I2 7 


25 


35 


6458 


652O 


6582 


6644 


6 7 o6 


6 7 68 


24 


35 


9191 


9 256 


9 320 


9 384 


9449 


9 5i3 


24 


36 


6829 


68 9 i 


6 9 53 


7oi5 


777 


7 i3 9 


23 


36 


9 5 7 8 


9 642 


977 


977 1 


9836 


99 


23 


3? 


7201 


7263 


7326 


7388 


7 45o 


7 5l2 


22 


37 


9965 


. .2 9 


.. 9 4 


.i58 


.223 


.287 


22 


38 


7 5 7 4 


7636 


7 6 9 8 


7760 


7822 


7 884 


21 


38 


io.43o352 


o4i6 


o48i 


o545 


0610 


0674 


21 


3 9 


7946 


8008 


8070 


8i32 


8i 9 5 


825 7 


2O 


3 9 


7 3 9 


o8o3 


0868 


o 9 33 


0997 


1062 


2O 


4o 


io.4o83i9 


838i 


8443 


85o5 


856 7 


863o 


1 9 


4o 


10.431127 


n 9 i 


1256 


l32O 


i385 


i45o 


I 9 


4i 


8692 


8 7 54 


8816 


8878 


8 9 4o 


9003 


18 


4i 


i5i4 


l5 79 


1 644 


1708 


i 77 3 


i838 


18 


42 


9065 


9127 


9 l8 9 


9 252 


9 3i4 


9 3 7 6 


l l 


42 


1902 


1967 


2032 


2097 


2161 


2226 


17 


43 


9 438 


95oi 


9 563 


9 625 


9687 


9 7 5o 


16 


43 


2291 


2356 


242O 


2485 


2 55o 


26i5 


16 


44 


9812 


9 8 7 4 


99 3 7 


9999 


..61 


.123 


i5 


44 


2680 


2744 


28o 9 


2874 


2 9 3 9 


3oo4 


i5 


45 


10.410186 


0248 


o3io 


0373 


o435 


0498 


i4 


45 


3o68 


3i33 


3i 9 8 


3263 


3328 


33 9 3 


i4 


46 


o56o 


0622 


o685 


0747 


0809 


o8 7 2 


i3 


46 


3458 


3522 


358 7 


3652 


3 7 i 7 


3 7 82 


i3 


47 


0934 


0997 


io5 9 


1122 


1184 


1246 


12 


47 


3847 


3 9 I2 


3977 


4042 


4107 


4172 


12 


48 


i3o 9 


i3 7 i 


i434 


i4 9 6 


i55 9 


1621 


II 


48 


423 7 


4302 


436 7 


4432 


44 97 


4562 


II 


49 


1 684 


1746 


i8o 9 


1871 


1934 


1996 


IO 


49 


4627 


46 9 2 


4 7 5 7 


4822 


488 7 


4 9 52 


IO 


5o 


10.412059 


2121 


2184 


2246 


2309 


23 7 I 


9 


5o 


10.435017 


5o82 


5i47 


5212 


5277 


5342 


9 


5i 


2434 


24 9 7 


2 55 9 


2622 


2684 


2 7 4 7 


8 


5i 


5407 


5473 


5538 


56o3 


5668 


5733 


8 


52 


2810 


2872 


2 9 35 


2 997 


3o6o 


3i 2 3 


7 


52 


5 79 8 


5863 


5 9 2 9 


5994 


6o5 9 


6124 


7 


53 


3i85 


3248 


33u 


33 7 3 


3436 


3499 


6 


53 


6i8 9 


6254 


6320 


6385 


645o 


65i5 


6 


54 


356i 


3624 


3687 


3 7 4 9 


38i2 


38 7 5 


5 


54 


658i 


6646 


6711 


6776 


6842 


6 9 07 


5 


55 


3 9 38 


4ooo 


4o63 


4126 


4i8 9 


425i 


4 


55 


6 9 72 


7 o3 7 


7io3 


7168 


7233 


7 2 99 


4 


56 


43i4 


4377 


444o 


45o2 


4565 


4628 


3 


56 


7 364 


742 9 


7 4 9 5 


7 56o 


7625 


7691 


3 


5 7 


46 9 i 


4754 


48i 7 


48 79 


4942 


5oo5 


2 


5 7 


7756 


7822 


7887 


79 5 2 


8018 


8o83 


2 


58 


5o68 


5i3i 


5i 9 4 


5256 


SSig 


5382 


I 


58 


8i4 9 


8214 


827 9 


8345 


84io 


84 7 6 


I 


5 9 


5445 


55o8 


5571 


5634 


5697 


5 7 6o 





5 9 


854i 


8607 


8672 


8 7 38 


88o3 


886 9 


O 




60" 


50" 


40" 


30" 


20" 


10" 


. 




60" 


50" 


40" 


30" 


20" 


10" 


. 




Co-tangent of 21 Degrees. 


a 




Co-tangent of 20 Degrees. 


a 


PPartM" 2 " 3 " 4 " 5// 6 " 7 " 8// 9 " 


.C 1" 2" 3" 4" 5" 6" 7" 8" 9" 


iri $ 6 12 19 25 31 37 43 49 56 


in \ 6 13 19 26 32 39 45 51 58 



LOGARITHMIC SINES. 



3 


Sine of 70 Degrees. 




| 


Sine of 7 1 Degrees. 







0" 


10" 


20" 


30" 


40" 


50" 




3 


0" 


10" 


20" 


30" 


40" 


50" 




o 


9.972986 


2993 


3ooi 


3oo 9 


3oi6 


3o24 


5 9 


o 


9.975670 


56 77 


5685 


56 9 2 


56 99 


5706 


5 9 


I 


3o3 2 


3o39 


3o47 


3o55 


3o62 


3070 


58 


I 


5 7 i4 


5 7 2I 


5 7 28 


5 7 35 


5 7 43 


5750 


58 


2 


3078 


3o85 


3o 9 3 


3ioi 


3io8 


3n6 


57 


2 


5 7 5 7 


5 7 64 


5 77 i 


5 779 


5 7 86 


5 79 3 


57 


3, 3i24 


3i3i 


3i3 9 


3i46 


3i54 


3i6 2 


56 


3 


58oo 


58o8 


58i5 


5822 


582 9 


583 7 


56 


4 8169 


3i 77 


3i85 


3i 9 2 


3200 


3208 


55 


4 


5844 


585i 


5858 


5865 


58 7 3 


588o 


55 


5 


32i5 


3223 


3 2 3o 


3238 


3246 


3253 


54 


5 


588 7 


58 9 4 


5 9 oi 


5 9 o 9 


5 9 i6 


5 9 23 


54 


6 


3261 


3269 


3276 


3284 


3291 


3299 


53 


6 


5g3o 


5 9 38 


5 9 45 


5 9 52 


5 9 5 9 


5 9 66 


53 


7 


3307 


33i4 


3322 


333o 


333 7 


3345 


52 


7 


5 97 4 


5 9 8i 


5 9 88 


5 99 5 


6002 


6010 


52 


8 


3352 


336o 


3368 


33 7 5 


3383 


3390 


5i 


8 


6oi 7 


6024 


6o3i 


6o38 


6o46 


6o53 


5i 


9 


3398 


34o6 


34x3 


342i 


3428 


3436 


5o 


9 


6060 


6o6 7 


6o 7 4 


6081 


6o8 9 


6096 


5o 


10 


9.973444 


345 1 


345 9 


3466 


3474 


3482 


49 


10 


9 . 9 76io3 


6110 


6n 7 


6i25 


6i32 


6i3 9 


49 


ii 


348 9 


34 9 7 


35o4 


35i2 


35i 9 


352 7 


48 


ii 


6i46 


6i53 


6160 


6168 


6i 7 5 


6182 


48 


12 


3535 


3542 


355o 


355 7 


3565 


35 7 2 


47 


12 


6i8 9 


6i 9 6 


6203 


6211 


6218 


6225 


47 


i3 


358o 


3588 


3595 


36o3 


36io 


36i8 


46 


i3 


6232 


623 9 


6246 


6 2 54 


6261 


6268 


46 


U 


3625 


3633 


364 1 


3648 


3656 


3663 


45 


i4 


62 7 5 


6282 


628 9 


6296 


63o4 


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45 


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3671 


36 7 8 


3686 


36 9 4 


3701 


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44 


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63i8 


6325 


6332 


6339 


634 7 


6354 


44 


16 


3 7 i6 


3 7 24 


3 7 3i 


3 7 3 9 


3 7 46 


3 7 54 


43 


16 


636i 


6368 


63 7 5 


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3807 


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65 2 5 


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20 


9.973897 


3905 


3912 3920 


3 9 2 7 


3 9 35 


39 


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9.976532 


653 9 


6546 


6553 


656o 


656 7 


39 


21 


3 9 42 


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3957 3 9 65 


3 97 2 


3980 


38 


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65 7 4 


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658 9 


6596 


66o3 


6610 


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4002 4oio 


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37 


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6617 


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4047 4o55 


4062 


4070 


36 


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6660 


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66 7 4 


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36 


24 


4077 


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4092 4ioo 


4io 7 


4n5 


35 


24 


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6 7 i6 


6723 


6 7 3i 


6738 


35 


25 


4l22 


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4i3 7 4i45 


4i52 


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34 


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6 7 45 


6 7 52 


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6766 


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6780 


34 


26 


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4182 4190 


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33 


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6787 


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33 


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4212 


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32 


27 


683o 


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6844 


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425 7 


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4555 


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25 


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7 i25 


7132 


7 i3 9 


7i46 


7 i53 


7160 


25 


35 


45 7 o 


45 77 


45854509 


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4607 


24 


35 


7167 


7174 


7181 


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7195 


7202 


24 


36 


46i4 


4622 


4629 4636 


4644 


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23 


36 


7209 


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7230 


723 7 


7244 


23 


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4688 


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22 


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7 25l 


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7272 


7279 


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20 


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4799 


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4866 


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7614 


7621 


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5u6 5i23 5i3o 


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7669 


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7 683 


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774 


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48 


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5i74 


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48 


7711 


7718 


77 25 


77 32 


7739 


77 45 


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49 


5i8 9 


5196 


5204 5211 


5 2 i8 


5226 


10 


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7752 


77 5 9 


7766 


7773 


7780 


7787 


10 


509.975233 


524o 


524852555262 


5270 


9 


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9-977794 


7801 


7808 


7 8i5 


7821 


7828 


9 


5i 


5277 


5284 


5292 5299(5306 


53i3 


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7 835 


7842 


7849 


7 856 


7 863 


7870 


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52 


532i 


5328 


5335 5343 535o 


535 7 


7 


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7877 


7 884 


7890 


7897 


794 


7911 


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53 5365 


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79 3 2 


79 3 9 


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54i6 


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5445 


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79 5 9 


7966 


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7987 


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55: 545 2 


545 9 


5467 


54 7 4548i 


5488 


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55 


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8oo 7 


8oi4!8o2i 8028 


8o35 


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56 5496 


55o3 


55io 


55i8,5525 


5532 


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8042 


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8o 7 6 


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5547 


5554 


556i'5568 


55 7 6 


2 


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8o83 


8o 9 o 8o 97 l8io4 81 10 


8117 


2 


58 


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55 9 8 


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56i 9 


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58 


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8i58 


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59 


5627 


5634 


564i 


56485656 


5663 


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5 9 


8i65 81728179 


818681938199 


O 




60" 


50" 


40" 


30" 20" 


10" 


c 




60" j 50" 40" j 30" 20" | 10" 


a 




Co-sine of 19 Degrees. 


ii 




Co-sine of 1 8 Degrees. 


1 


pp .C 1" 2" 3" 4" 5" 6" 7" 8" 9" 
irt $ 1 123 44567 


P T ^ l' ; 2" 3" 4" 5" 6" 7" <~ 
trt { 1 1 2 3 4 4 3 ft 6 



LOGARITHMIC TANGENTS 



95 



d 


Tangent of 70 Degrees. 




d 


Tangent of 7 1 Degrees. 




s 


0" 


10" 


20" 


ao" 


40" 


50" 




s 


0" 


10" 


20" 


30" 


40" 


5<y 




o 


o.438 9 34 


9 ooo 


9 o65 


9 i3i 


9196 


9262 


5 9 





io.463o28 


3097 


3i65 


3233 


33o2 


3370 


5 9 


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9 32 7 


9 3 9 3 


9 458 


9 5a4 


9 5 9 o 


9 655 


58 


I 


343 9 


3507 


35 7 6 


3644 


3 7 i3 


3 7 8i 


58 


2 

3 


97 21 
o . 44o i i 5 


9786 
0180 


9 852 
0246 


9918 

0312 


99 83 
o3 77 


.49 

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56 


2 

3 


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4261 


3 9 i8 
432 9 


3 9 8 7 
43 9 8 


4o55 
4466 


4124 
4535 


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46o4!56 


4" 


0509 


o5 7 4 


o64o 


0706 


o 77 i 


o83 7 


55 


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4672 


4-74- i 


48o 9 


48 7 8 


4 9 4 7 


5oi5 


55 


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0903 


o 9 6 9 


io34 


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166 


1232 


54 


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5o84 


5i53 


5221 


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535 9 


5427 


54 


6 


1297 


i363 


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1495 


56i 


1627 


53 


6 


54 9 6 


5565 


5633 


57O2 


5 77 i 


584o 


53 


7 


1692 


i 7 58 


1824 


1890 


9 56 


2O22 


52 


7 


5 9 o8 


5 977 


6o46 


6n5 


6184 


6252 


02 


8 


2087 


2i53 


22I 9 


2285 


235i 


24l 7 


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8 


632i 




645 9 


6528 


65 9 6 


6665 


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9 


2483 


254 9 


26l5 


2681 


2 7 4 7 


28l3 


5o 


9 


6 7 34 


68o3 


6872 


6 9 4i 


7030 


7079 


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10 


0.442879 


2 9 45 


3oii 


3o 77 


3i43 


32O 9 


4 9 


10 


10.467147 


7216 


7285 


7354 


7423 


7492 


49 


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32 7 5 


334i 


3407 


34 7 3 


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36o5 


48 


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7 56i 


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7699 


7768 


7 83 7 


7906 


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12 


3671 


3 7 3 7 


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3869 




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47 


12 


79 7 5 


8o44 


8n3 


8182 


825i 


8320 


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4067 


4i33 


4200 


4266 


i332 


4398 


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8458 


8527 


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8666 


8 7 35 


46 


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4464 


453o 


i5 9 6 


4663 


472 9 


4?9 5 


45 


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88 7 3 


8942 


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9 o8o 


9i5o 


45 


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486i 


4 9 27 


4 99 4 


5o6o 


5i26 


5192 


44 


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9219 


9288 


9 35 7 


9 426 


9496 


9 565 


44 


16 


5 2 5 9 


5325 


53 9 i 


545 7 


5524 


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43 


16 


9 634 


97 3 


9772 


9 842 


99" 


99 8o 


43 


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5656 


5722 


5 7 8 9 


5855 


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5988 


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0119 


0188 


0257 


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6120 


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6 2 53 


6320 


6386 


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0673 


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0812 


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6452 


65i 9 


6585 


6652 


6718 


6 7 84 


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IO 9 O 


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1228 


io 


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o.44685i 


6917 


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7117 


7 i83 


3 9 


20 


10.471298 


i36 7 


i43 7 


i5o6 


i5 7 6 


1 645 


3 9 


21 


725o 


7 3i6 


7 383 


7449 


75i6 


7 582 


38 


21 


1715 


i 7 84 


i854 


1923 


i 99 3 


2062 


38 


22 


?64 9 


77 i5 


77 82 


7848 


7915 


7981 


3 7 


22 


2l32 


22OI 


2271 


234o 


2410 


2480 


3 7 


23 




8n5 


8181 


8248 


83i4 


838i 


36 


23 


2549 


2619 


2688 


2 7 58 


2828 


2897 


36 


24 


8448 


85i4 


858i 


864? 


8714 


8781 


35 


24 


2967 


3o3 7 


3io6 


3i 7 6 


3246 


33i5 


35 


25 


8847 


8914 


8 9 8i 


9 o48 


9114 


9181 


34 


25 


3385 


3455 


3524 


35 9 4 


3664 


3 7 34 


34 


26 


9 248 


93i4 


9 38i 


9448 


9 5i5 


9 58i 


33 


26 


38o3 


3873 


3 9 43 


4oi3 


4082 


4i52 


33 


27 


9 648 


97 i5 


97 8 2 


9 848 


9915 


99 82 


32 


27 


4222 


4292 


4362 


4432 


45oi 


4571 


32 


28 


io.45oo4 9 


0116 


oi83 


0249 


o3i6 


o383 


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28 


464i 


4 7 " 


4?8i 


485i 


4921 


4991 


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29 


o45o 


o5i7 


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0717 


0784 


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2 9 


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5i3o 


52OO 


52 7 O 


534o 


54io 


3d 


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io.'45o85i 


o 9 i8 


o 9 85 


1052 


1119 


1186 


29 


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10.475480 


555o 


5620 


5690 


5760 


583o 


2 9 


3i 


1253 


1320 


i38 7 


i454 


1521 


i588 


28 


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5900 


5970 


6o4o 


6no 


6180 


625o 


28 


32 


i655 


1722 


1789 


i856 


1923 


1990 


27 


32 


63ao 


63 9 r 


646i 


653i 


6601 


6671 


27 


33 


2057 


2124 


2191 


2258 


2325 


2392 


26 


33 


6 7 4i 


68 1 1 


6881 


6952 


7022 


7092 


26 


34 


2460 


252 7 


2 5 9 4 


2661 


2728 


2795 


25 


34 


7162 


7232 


7302 


7 3 7 3 


7443 


7 5i3 


25 


35 


2862 


2 9 2 9 


2997 


3o64 


3i3i 


3198 


24 


35 


7583 


7654 


77 2 4 


7794 


7864 


79 35 


24 


36 


3265 


3333 


34oo 


346 7 


3534 


3602 


23 


36 


8oo5 


8o 7 5 


8i46 


8216 


8286 


835 7 


23 


37 


366 9 


3 7 36 


38o3 


3871 


3 9 38 


4oo5 


22 


37 


8427 


84 97 


8568 


8638 


8708 


8779 


22 


38 


4072 


4i4o 


4207 


42 7 4 


4342 


4409 


21 


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884 9 


8 9 2O 


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9061 


9 i3i 


9201 


21 


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4476 


4544 


46n 


46 7 8 


4746 


48i3 


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3 9 


9272 


9 342 


9 4i3 


9 483 


9 554 


9624 


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io.45488i 


4 9 48 


5oi5 


5o83 


5i5o 


6218 


19 


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10.479695 


9765 


9836 


9906 


9977 


.47 


19 


4i 


5285 


5353 


5420 


5488 


5555 


5623 


18 


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10.480118 


0189 


0259 


o33o 


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0471 


18 


42 


56 9 o 


5 7 58 


5825 


58 9 3 


5960 


6028 


17 


42 


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0612 


o683 


o 7 54 


0824 


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17 


43 


6o 9 5 


6i63 


623o 


6298 


365 


6433 


16 


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0966 


io36 


1107 


1178 


1248 


i3i 9 


16 


44 


65oi 


6568 


6636 


670^ 


6771 


683 9 


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1390 


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1602 


i6 7 3 


1744 


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6 9 o6 


6 9 74 


7042 


7109 


7177 


7245 


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1814 


i885 


i 9 56 


2O2 7 


2098 


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7 3l2 


738o 


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7 583 


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2239 


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238i 


2452 


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25 9 4 


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77 i9 


7786 


7854 


79 22 


799 


8o5 7 


12 


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2665 


2 7 36 


2807 


28 77 


2948 


3oi 9 


12' 


48 


8i25 


8i 9 3 


8261 


832 9 


83 97 


8464 


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48 


Sogo 


3i6i 


3232 


33o3 


33 7 4 


3445 


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8532 


8600 


8668 


8 7 36 


88o4 


8872 


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35i6 


3587 


3658 


3729 


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38 7 i 


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10.458939 


9 oo7 


97 5 


9 i43 


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9 2 79 


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10.483943 


4oi4 


4o85 


4i56 


422 7 


42 9 8 


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9 3 4? 


94i5 


9 483 


9 55i 


9619 


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436 9 


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4796 


486 7 


4938 


5oio 


5o8i 


5i5 2 


7 


53 


10.46016!: 


023l 


0299 


0367 


0435 


o5o; 




53 


5223 


52 9 5 


5366 


543 7 


55o8 


558o 


6 


54 


571 


o63 9 


0707 


0776 


0844 


0912 


K 


54 


565i 


5722 


5794 


5865 


5 9 36 


6008 


5 


55 


o 9 8o 


io48 


1116 


n84 


1253 


l32I 


4 


55 


6o7 9 


6i5o 


6222 


629. 


636; 


6436 


4 


56 


i38 9 


i45 7 


i5 2 5 


i5g^ 


1662 


I 7 3o 


1 


56 


65o7 


65 79 


665o 


6722 


6 79 3 


6864 


3 


^7 


1798 


1867 


i 9 35 


200' 


2071 




2 


5 7 


6 9 36 


7007 


779 


7 i5o 


7 222 


7293 


2 


58 


2208 


2276 


2345 


24l3 


2481 


2 55o 


I 


58 


7 365 


7436 


7 5o8 


7 58o 


7 65i 


7723 


I 


5 9 


2618 


2686 


2 7 55 


2823 


2891 


2960 


O 


5 9 


77 94 7 866 7 937 


8oo 9 


8081 


8i5 2 


O 




60" 


50" 40" 


30" 


20" 


10" 


S" 




60" 50" 40" 30" 


20" 


10" 


g' 




Co-tangent of 19 Degrees. 






Co-tangent of 18 Degrees. 




. < 1" 2" 3" 4" 5" 6" 7" 8" 9" 


< 1" 2" 3" 4" 5" 6" 7" 8" 9" 


llt \ 7 13 20 27 33 40 47 54 60 


; ' art } 7 14 21 28 35 42 49 56 63 



LOGARITHMIC SINEB. 



.s 


Sine of 72 Degrees. 




-' 


Sine of 73 Degrees. 




m 


0" 


10" 


20" 30" | 40" 


50" 






0" 


10" 


20" 


30" | 40" 


50" 




c 


9.9 7 82o6 82i3 


822082278234 


824l 


69 





9 . 9 8o5 9 6 


o6o3 


0609 


0616 0622 


0626 


69 


I 


824 7 8264 8261,8268 8275 8282 


58 


I 


o635 


o64i 


o648 


o654 0661 


0667 


58 


2 8288:8296 


83o2|83oo!83i6 83aa 


5 7 


2 


0673 0680 


0686 


0693 o6qq 


0706 67 


3 


832 9 8336 8343 835o 835 7 8363 
83 7 o 83 77 8384 83 9 i 83 97 '84o4 


56 

55 


i 


0712 
0760 


0718 
0767 


0726 
o 7 63 


0731 
0770 


o 7 38 
0776 


0744 56 
o 7 8355 


t 


84n 


84i8 


845 843i438 8445 54 


t 


0789 


0796 


0802 0808 


0816 


0821 


54 


i 


8462 


8469 8465 84 7 2|84 7 9|8486 53 


* 6 


0827 


o834 


o84o o84 7 


o853 


0869 


53 


1 


8493 


849986068613,8620 


8627 


62 


7 


0866 


0872 


o8 7 8 


0886 


o8 9 i 


0898 


5a 


8 


8533 


854o 8547 8554856i 


856 7 


5i 


8 


090^ 


0910 


0917 


0923 


o 9 3o 


o 9 36 


61 


c 


85 7 4858i 


858885 9 4J86oi 


8608 


5o 


9 


0942 


0949 


0966 0961 


o 9 68 


0974 


5o 


o 


9.9 7 86i5j8622 ! 86288635 
8655 8662 8669'86 7 6 


8642 
8682 


8649 
8689 


49 

48 


10 

ii 


9.980981 
1019 


0987 
1026 


o 99 3 
io3i 


IOOO 

io38 


1006 
io44 


IOI2 

1061 


49 

48 


2 


8696 


8703,87098716 


8723 


8 7 3o 


47 


12 


1067 


io63 


1070 


1076 


1082 


1089 


47 


V 


8 7 3 7 


8743:87608767 


8 7 64 


8 77 o 


46 


1C 


1096 


IIOI 


1 1 08 


ni4 


1 1 20 


1127 


46 


/ 


8777 


8784' 


8 79 i 8797 


88o4 


8811 


45 


li 


ii33 


1139 


n46 


1162 


1168 


n65 


45 


1 


8817 


8824883i 88388844 


8861 


44 


jf 


n 7 i 


1177 


1184 


II 9 


ii 9 6 


I2O3 


44 


16 


8858 


8865 


8871 


88788886 


8892 


43 


16 


1209 


I2l5 


1222 


1228 


1234 


1241 


43 


I 7 


8898 


8906 


8 9 i2 8 9 i8l8 9 25 


8 9 32 


42 


17 


I24 7 


1253 


1260 


1266 


1272 


1279 


42 


18 
19 


8 9 3 9 
8979 


8946 8962 896918^65 8 97 2 
8 9 86 8 99 2 8 999 | 9 oo6 9 oi2 


4i 

4o 


18 
'9 


1286 
i3 2 3 


1291 
1329 


1298 

i336 


i3o4 

1 342 


i3io 
1 348 


i3i 7 
i354 


4i 
4o 


20 


9.979019 


9 026 9 o33 9 o3 9 9 o46 9 o52 


3 9 


20 


9 . 9 8i36i 


i36 7 


i3 7 3 


i38o 


i386 


1392 


39 


21 


9069 


9 o66 9073 


9679 


9 o86 


9 o 9 3 


38 


21 


i3 99 


i4o5 


i4i i 


i4i 7 


1424 


i43o 


38 


22 


9100 


9106 9113 


9120 


9 I26 


9 i33 


37 


22 


i436 


i443 


1 449 


i455 


i46i 


1 468 


37 


2: 


9140 


91469163 


9160 


9 i66 


9 i 7 3 


36 


23 


i4 7 4 


i48o 


1487 


i4 9 3 


1499 


1606 


36 


25 


9180 

9 22O 


9186 9193 9200 
9227 9233 9240 


9 2o6 
9247 


9213 
9263 


35 
34 


24 

25 


1612 
1649 


i5i8 

i556 


1624 
1662 


i53i 

1668 


1637 
1674 


1 543 
i58i 


35 

34 


26 


9 26o 


92679273 


9280 


9287 


9 2 9 3 


33 


26 


i58 7 


i5 9 3 


1699 


1606 


1612 


1618 


33 


2 7 


9 3oo 


93069313 


9320 


9326 


9 333 


32 


27 


1626 


i63i 


i63 7 


1 643 


1660 


1666 


32 


28 


9 34o 


93469353 


9360 


93669373 


3i 


28 


1662 


1668 


1676 


1681 


1687 


i6 9 3 


3i 


29 


9 38o 


93869393 


9400 


9406 9 4i3 


3o 


29 


I 7 OO 


1706 


I 7 I2 


1718 


1724 


i 7 3i 


3o 


3o 


9.979420 


9426 9433 


9 43 9 


9446 


9 453 


29 


3o 


9 98i 7 3 7 


1743 


i 7 49 


1766 


1762 


i 7 68 


29 


3i 


9 45 9 


9466 9473 


9479 


9486 9492 


28 


3i 


i 77 4 


1781 


1787 


1 79 3 


1799 


1806 


28 


32 


9499 


96069612 


9619 9 526 9 532 


27 


32 


18:2 


1818 


1824 


i83o 1837 


i843 


2 7 


33 

34 


9 53 9 
9679 


9545 9662 
9686 9 5 9 2 


9 55 9 
9 5 9 8 


966619672 
96o5'96i2 


26 

25 


33 

34 


1849 
1886 


i855 
i8 9 3 


1861 
1899 


1868 
1906 


1874 
1911 


1880 
I 9 i 7 


26 
25 


35 


9618 


9 625 9 63i 


9 638 


96469661 


24 


35 


1924 


i 9 3o 


i 9 36 


1942 


1 9< 48 


1966 


24 


36 


9668 


9 664 9 67i 


9 6 7 8 


9684 9691 


23 


36 


1961 


1967 


i 97 3 


1979 


1986 


1992 


23 


37 


9697 


970497" 


9717 


97249730 


22 


37 


1998 


20O4 


20IO 


2016 


12023 


.2029 


22 


38 


9737 


9743 9760 


9767 


97639770 


21 


38 


2o35 


2041 


2047 




2O6O 


2066 


21 


3 9 


9776 


97839790 


9796 


9803 9809 


2O 


3 9 


20 7 2 


2078 


2084 


2091 


2097 


2103 


2O 


4o 
4i 


9.979816 
9866 


9822 9829 
9862 9868 


9 836 
9876 


98429849 
9881 9888 


Is 


4o 
4i 


9.982109 
2146 


2Il5 
2152 


2122 
2169 


2128 
2i65 


2 I 34 
2171 


2140 
2I 77 


19 

18 


42 


9896 


9901 9908 


99 i4 


9921 9927 


17 


42 


2i83 


2189 2196 


22O2 


2208 


22 1 4 


'7 


43 


9934 


9940 9947 


9964 


99609967 


16 


43 


222O 


2226 2232 


2239 


2245 2125 I 


16 


44 


997 3 


9980 9986 


999 3 


9999 ...6 


16 


44 


225 7 


2263 


2269 


2276 


2282 


2288 


16 


45 


9.980012 


00190026 


OO32 


00390046 


i4 


45 


2294 


2300 


2 3o6 


23l2 


23i82324 


i4 


46 


0062 


00680066 


6071 


0078 0084 


i3 


46 


2331 


2337 


2343 


2349 


2355 


236i 


i3 


47 


0091 


0097 0104 


OIIO 


0117 0123 


12 


47 


236 7 


2 3 7 3 


238o 


2386 


2392 


2398 


12 


48 


oi3o 


oi36oi43 


oi4 9 


0166 oi63 


II 


48 


2404 


2410 


2416 


2422 


2429 


2435 


II 


49 


0169 


0176 0182 


oi8 9 


0196 0202 


IO 


49 


244 1 


2447 


2453 


2469 


2465 


24 7 I 


IO 


5o 


9.980208 


02l5 0221 


0228 


02340241 


9 


5o 


9 . 9 824 77 


2484 


2490 


2496 


2602 


2608 


9 


5i 


0247 


0254 0260 


0267 


0273 0280 


8 


5i 


2614 


2620 


2626 


2532 


2 538 


2544 


8 


62 


0286 


oooSoaoo 


o3o6 


o3i2o3i8 


7 


62 


2661 


2667 


2563 


2669 


2676 


2681 


7 


53 


o3 2 5 


o33i o338 


o344 


o35i'o35 7 


6 


53 


258 7 


2693 


2699 


2606 


261 1 


2617 


6 


54 


o364 


08700377 


o383 


0390 0396 


5 


54 


2624 263o 


2 636 


2642 


2648 


2664 


5 


55 


o4o3 


o4o 9 o4i6 


0422 


042 9 0435 


4 


55 


2660 2666 26 7 2 


2678 


2684 


2690 


4 


56 


o48o 


o448o454 
o48 7 o4 9 3 


o46i 
0600 


0467 o4 7 4 
o5o6o5i3 


3 

2 


56 

57 


26 9 6J2 7 O2 2 7 09 

2 7 33 2 7 3 9 2 7 45 


271612721 
276112757 


2 7 2 7 
2 7 63 


3 

2 


58 


o5"i9 


06260632 


o538 


o545 0661 


I 


58 


2769 2 77 5 2 7 8i 


2 7 8 7 ' 2 7 9 32 7 99 i 


5 9 


0668 


o564 0671 


0677 


06830690 


O 


69 


2806 28ii ! 28i 7 |2824 28302836 o 




60" 


50- | 


40" 30" 20" 10" 


ri 




60" ^ i 50" 40" 30" 20" 10- ^ 




Co-sine of 17 Degrees. 






Co-sine of 16 Degrees. 


f j// g// g// 


4" 5" 6" 7" 8" 9" p p .(!" 2" 3" 4" 5" 6" 7" 8' 9" 


(1 12 


3 3 4 5 5 6 : r ' rar M 1 12234436 



LOGARITHM c TANGENTS. 



4 


Tangent of 7 ^ Decrees. 




d 


Tangent of 73 Degrees. 




s 


0" 


10" 


20" 


30" | 40"J 50" | 


i 


0" 


10" 


20" 


30" 


40" 


50" 




o 


10.488224 


82 9 6 


836 7 


843 9 


85n 


8582 


5o 





io.5i466i 


4 7 36 


4812 


488 7 


4 9 62 


5o38 


5 9 


I 


8654 


8 7 26 


8797 


886 9 


8 9 4i 


9 oi3 


58 


I 


5n3 


5i88 


5264 


533 9 


54i5 


54 9 o 


58 


2 


9084 


9 i56 


9228 


9 3oo 


9 3 7 i 


9 443 


5 7 


2 


5565 


564i 


5 7 i6 


5 79 2 


586 7 


5 9 43 


5? 


3 


9 5i5 


9 58 7 


9659 


97 3i 


9802 


9 8 7 4 


56 


3 


6018 


6094 


6i6 9 


6245 


6320 


63 9 6 


56 


4 


9946 


..18 


..90 


.162 


.-234 


.3o6 


55 


4 


6471 


654 7 


6623 


66 9 8 


6 77 4 


684 9 


55 


5 


io.^ 9 o3 7 8 


o44 9 


0521 


o5 9 3 


o665 


o 7 3 7 


54 


5 


6 9 25 


7 OOI 


7 o 7 6 


7 l52 


7 228 


7 3o3 


54 


6 


0809 


0881 


0953 


IO25 


io 97 


n6 9 


53 


6 


7379 


7 455 


7 53o 


7 6o6 


7 682 


7758 


53 


7 


1241 


i3i3 


i386 


i458 


i53o 


1602 


52 


7 


7833 


799 


79 85 


8061 


8i3 7 


8212 


5 2 


8 


i6 7 4 


i 7 46 


1818 


1890 


I 9 62 


2o35 


5i 


8 


8288 


8364 844o 


85i6 


85 9 2 


866 7 


5i 


9 


2107 


2I 79 


225l 


2323 


23 9 5 


2468 


5o 


9 


8743 


8819 


88 9 5 


8971 


9 o4 7 


9 I23 


5o 


10 


10.492540 


2612 


2684 


2 7 5 7 


282 9 


2 9 OI 


A 9 


10 


io.5i 9 i 99 


9 2 7 5 


9 35i 


942 7 


9 5o3 


9 5 79 


4 9 


ii 


2 97 3 


3o46 


3n8 


3190 


3263 


3335 


48 


n 


9 655 


97 3i 


9 8o 7 


9 883 


99 5 9 


..35 


48 


12 


34o 7 


348o 


3552 


3624 


36 97 


3 7 6 9 


4 7 


12 


IO.520III 


oi8 7 


0263 


o34o 


o4i6 


O4 9 2 


47 


i3 


384i 3 9 i4 


3 9 86 


4o59 


4i3i 


4204 


46 


i3 


o568 


o644 


7 20 


o 797 


o8 7 3 


o 9 4 9 


46 


i4 


4270,4348 


442i 


4493 


4566 


4638 


45 


r4 


IO25 


IIOI 


1178 


ia54 


i33o 


i4o 7 


45 


i5 


47i r: 4 7 83 


4856 


4928 


5ooi 


5o 7 4 


44 


r5 


i483 


i559 


i635 


I 7 I2 


1788 


1864 


44 


16 


5i46 


52I 9 


5291 


5364 


543 7 


55o 9 


43 


16 


i 9 4i 


20I 7 


20 9 4 


2I 7 


2246 


2323 


43 


X 7 


5582 


5654 


5 7 2 7 


58oo 


58 7 2 


5 9 45 


42 


*7 


23 99 


24 7 6 


2552 


2628 


2 7 o5 


2 7 8l 


42 


18 


6018 


6o 9 o 


6i63 


6236 


63o 9 


638i 


4i 


18 


2858 


2 9 34 


3on 


3o8 7 


3i64 


3 2 4i 


4i 


J 9 


6454 


652 7 


6600 


66 7 2 


6 7 45 


6818 


4o 


X 9 


33i 7 


33 9 4 


3470 


354 7 


3623 


3 7 oo 


4o 


20 


10.496891 


6 9 64 


7 o36 


7 I0 9 


7 l82 


72 55 


3 9 


20 


io.523 777 


3853 


3 9 3o 


4oo 7 


4o83 


4i6o 


3 9 


21 


7 3 2 8 


7 4oi 


7 4 7 4 


7 54 7 


7 6i 9 


6 79 2 


38 


21 


423 7 


43i3 


43 9 o 


446 7 


4544 


4620 


38 


22 


77 65 


7 838 


79 11 


79 84 


8o5 7 


8i3o 


37 


22 


46 97 


4774 


485i 


4 9 2 7 


5oo4 


5o8i 


37 


23 


82o3 


82 7 6 


8349 


8422 


84 9 5 


8568 


36 


23 


5i58 


5235 


53i2 


5388 


5465 


5542 


36 


24 


864i 


8 7 i4 


8 7 8 7 


8860 


8 9 34 


9 oo 7 


35 


24 


56i 9 


56 9 6 


5 77 3 


585o 


5 9 2 7 


6oo4 


35 


25 


9080 


9 i53 


9226 


9299 


9 3 7 2 


9 445 


34 


25 


6081 


6i58 


6235 


63i2 


638 9 


6466 


34 


26 


9519 


9 5 9 2 


9 665 


9738 


9811 


9 885 


33 


26 


6543 


6620 


66 9 7 


6 77 4 


685i 


6 9 28 


33 


27 


99 58 


. .3i 


.104 


.i 7 8 


.261 


.324 


32 


27 


7 oo5 


7082 


7160 


7 23 7 


7 3i4 


7 3 9 i 


32 


28 


io.5oo3 9 7 


o4 7 i 


o544 


06 1 7 


0691 


o 7 64 


3i 


28 


7 468 


7 545 


7 623 


77 oo 


7777 


7 854 


3i 


' 2 9 


0837 


o 9 n 


0984 


io5 7 


n3i 


I2O4 


3o 


2 9 


79 3i 


8oo 9 


8086 


8i63 


8241 


83i8 


3o 


3o 


10.501278 


i35i 


1425 


1498 


i5 7 i 


1645 


29 


3o 


10.528395 


84 7 2 


855o 


862 7 


8 7 o5 


8 7 82 


29 


3i 


1718 


I 79 2 


i865 


i 9 3 9 


2OI2 


2086 


28 


3i 


885 9 


8 9 3 7 


9 oi4 


9 o 9 i 


9 l6 9 


9 246 


28 


32 


2l5 9 


2233 


23o 7 


2 38o 


2454 


252 7 


27 


32 


9 324 


9 4oi 


9479 


9 556 


9 634 


9711 


2 7 


33 


2601 


26 7 4 


2 7 48 


2822 


2 8 9 5 


2 9 6 9 


26 


33 


9789 


9 866 


9944 


. .21 


99 


.177 


26 


34 


3o43 


3u6 


3190 


3264 


333 7 


34n 


25 


34 


io.53o254 


o332 


o4o 9 


o48 7 


o565 


0642 


25 


35 


3485 


3559 


3632 


3 7 o6 


3 7 8o 


3854 


24 


35 


7 20 


o 79 8 


o8 7 5 


o 9 53 


io3i 


1108 


24 


36 


3 9 2 7 


4ooi 


4o 7 5 


4i4 9 


4223 


42 9 6 


23 


36 


1186 


1264 


1 342 


i4i 9 


*4 97 


i5 7 5 


23 


37 


4370 


4444 


45i8 


45 9 2 


4666 


4 7 4o 


22 


37 


i653 


I 7 3i 


1808 


1886 


1964 


2042 


22. 


38 


48i4 


488 7 


4961 


5o35 


5 1 09 


5i83 


21 


38 


2120 


2I 9 8 


22 7 6 


2353 


243l 


25o 9 


21 


3 9 


5 2 5 7 


533i 


54o5 


54 79 


5553 


562 7 


20 


3 9 


258 7 


2665 


2 7 43 


2821 


2 8 99 


3 977 


2O 


4o 


io.5o5 7 oi 


5 77 5 


5849 


5 9 23 


5 997 


6o 7 i 


I 9 


4o 


io.533o55 


3i33 


3211 


328 9 


336 7 


3445 


*9 


4i 


6i46 


6220 


6a94 


6368 


6442 


65i6 


18 


4i 


3523 


36o2 


368o 


3 7 58 


3836 


3 9 i4 


18 


42 


65 9 o 


6664 


6 7 3 9 


68i3 


688 7 


6 9 6i 


17 


42 


3 99 2 


4o 7 o 


4i4 9 


422 7 


43o5 


4383 


i? 


43 


7 o35 


7 no 


7 i84 


7 258 


7 332 


7 4o 7 


16 


43 


446i 


454o 


46i8 


46 9 6 


4 77 4 


4853 


16 


44 


7 48i 


7 555 


7 63o 


77 o4 


7778 


7853 


i5 


44 


4 9 3i 


5oo 9 


5o88 


5i66 


5 2 44 


53 2 3 


i5 


45 


79 2 7 


8001 


80-76 


8i5o 


8224 


8 299 


i4 


45 


54oi 


54 79 


5558 


5636 


5 7 i5 


5 79 3 


i4 


46 


8373 


8448 


8522 


85 9 6 


8671 


8 7 45 


i3 


46 


58 7 2 


5 9 5o 


6028 


6io 7 


6i85 


6264 


i3 


47 


8820 


88 9 4 


8 9 6 9 


9 o43 


9118 


9 I 9 2 


12 


47 


6342 


6421 


64 99 


65 7 8 


665 7 


6 7 35 


12 


48 


9 267 


9 34i 


9 4i6 


9 4 9 o 


9 565 


9 64o 


II 


48 


68i4 


68 9 2 


6 97 i 


7 o5o 


7 I28 


7 20 7 


II 


49 


9 7i4 


97 8 9 


9 863 


99 38 


..i3 


..87 


10 


49 


72 85 


7 364 


7 443 


7 522 


7 6oo 


7679 


10 


5o 


io.5ioi62 


023 7 


o3ii 


o386 


o46i 


o535 


9 


5o 


io.53 77 58 


7 836 


79 i5 


7994 


8o 7 3 


8i5i 


9 


Si 


0610 


o685 


o 7 6o 


o834 


o 9 o 9 


o 9 84 


8 


5i 


823o 


83o 9 


8388 


846 7 


8546 


8624 


8 


52 


io5 9 


n34 


1208 


1283 


i358 


i433 


7 


52 


8 7 o3 


8 7 82 


8861 


8 9 4o 


9 OI 9 


9 o 9 8 


7 


53 


i5o8 


i582 


i65 7 


I 7 32 


1807 


1882 


6 


53 


9 i 77 


9 256 


9 335 


9 4i4 


9 4 9 3 


9 5 7 2 


6 


54 


i 9 57 


2032 


2IO 7 


2182 


2257 


2332 


5 


54 


9 65i 


97 3o 


9 8o 9 


9 888 


99 6 7 


..46 


5 


55 


2407 


2482 


2 55 7 


2632 


2 7 7 


2 7 82 


4 


55 


io.54pi25 


O204 


0283 


o362 


0442 


0521 


4 


56 


2857 


2932 


3oo 7 


3082 


3i5 7 


3232 


3 


56 


0600 


o6 79 


o 7 58 


o83 7 


9 I 7 


o 99 6 


3 


57 


3307 


3382 


345 7 


3533 


36o8 


3683 


2 


57 


io 7 5 


n54 


1234 


i3i3 


I3 9 2 


l4 7 2 


2 


58 


3 7 58 


3833 


3 9 o8 


3 9 84 


4o5 9 


4i34 


I 


58 


i55i 


i63o 


I 7 IO 


i 7 8 9 


1868 


i 9 48 


I 


5 9 


42O 9 


4285 


436o 


4435 


45io 


4586 


O 


5 9 


202 7 


2106 


2186 


2265 


2345 


2424 


O 




60" 


50" 


40" 


30" 


20" 


10" 


g 




60" 


50" 


40" 


30" 


20" 


10" 


j 




Co- tangent of 17 Degrees. 






Co-tangent of 16 Degrees. 





p p .$ 1" 2" 3" 4" 5" 6" 7" 8" 9" 
I 7 15 22 29 37 44 51 59 66 


p p t f 1" 2" 3" 4" 5" 6" 7" 8" 9" 
in \ 8 15 23 31 39 46 54 62 70 



98 



LOGARITHMIC SINES. 



.9 


Sine of 74 Degrees. 




a 


Sine of 75 Degrees. 




s 


0" 


10" 


20" 


30" 1 W 


50* 




3 0" 10" 


20" 


30" 


40" 


50" 




o 


9 . 9 8a842 2848 


2854286o|2866 


2872 5 9 





9.9849444949 


49bb 


4961 


4966 


4 97 2 


5 9 


I 


2878 2884 


2890 


28 9 6,2 9 O2 


2908 58 


I 


49784983 


4 9 8o 


4995 


5ooo 


5oo6 


58 


2 


2914 


2920 


2926 


2 9 32 2 9 38 


2944 5 7 


2 


5on 5oi 7 


5o 2 3 


5028 


5o34 


5o4o 


57 


3 


2g5o 


29 56 


2962 296812974 


2980 56 


3 


5o45 5o5i 


5o56 


5o62 


5o68 


5o 7 3 


56 


4 


298612992 


2998 


3oo4i3oio 


3oi655 


4 


5o 7 9 5o84 


5090 


5o 9 6 


5ioi 


5io 7 


55 


5 


3022 3028 


3o34 


3o4o3o46 


3o5 2 54 


5 


5n3 


5n8 


5i 2 4 


5129 


5i35 


5i4i 


54 


6 


3o58 


3o64 


3o 7 o 3o 7 6;3o82 


3o88 53 


6 


5i46 


5i52 


5i5 7 


5i63 


5i6 9 


5i 7 4 


53 


7 


3094 


3ioo 


3io6 


3lI2 ; 3ll8 


312452 


7 


5i8o 


5i85 


5191 


5i 97 


52O2 


5208 


52 


8 


3i3o 


3i36 


3i42 


3i483i54 


3i6o!5i 


8 


52i3 


5219 


5224 


523o 


5 2 36 


524i 


5i 


9 


3i66 


3l 7 2 


3i 7 8 


3i84 


3190 


3i 9 6|5o 


9 


524 7 


5252 


5 2 58 


5 2 64 


526 9 


5 27 5 


5o 


10 


5,983202 


3208- 


32l4 


3220 


3226 


323249 


10 


$.985280 


5286 


5291 


52 97 


53o3 


53o8 


49 


ii 


3 2 38 


3244 


3 2 5o3 2 56 


3262 


326848 


ii 


53i4 


5319 


53 2 5 


533o 


5336 


5342 


48 


12 


3273 


32 79 


3285 


32 9 i 


32 97 


33o3;47 


12 


534 7 


5353 


5358 


5364 


536 9 


53 7 5 


47 


i3 


33o 9 


33i5 


332i 


332 7 


3333 


333 9 46 


i3 538i 


5386 


53 9 2 


53 9 7 


54o3 


54o8 


46 


i4 


3345 


335i 


335 7 


3363 


336 9 


33 7 5 


45 


i4 


54i4|54i 9 


5425 


543o 


5436 


5442 


45 


i5 


338i 


3386 


33 9 2 33 9 8 


34o4 


34io 


44 


i5 


544? 


5453 


5458 


5464 


546 9 


54 7 5 


44 


16 


34i6 


3422 


3428 3434 


344o 


3446 


43 


16 


548o 


5486 


549i 


5497 


5502 


55o8 


43 


^7 


3452 


3458 


3464 


346 9 


3475 


348 1 


42 


17 


55i4 


55i 9 


5525 


553o 


5536 


554i 


42 


18 


348*7 


34 9 3 


3499 


35o5 


35ii 


35i 7 


4i 


18 


554 7 


5552 


5558 


5563 


556 9 


55 7 4 


4i 


1 9 


3523 


352 9 


3535 354o 


3546 


35524o 


'9 


558o 


5585 


55 9 i 


55 9 6 


56o2 


56o 7 


4o 


20 


9.983558 


3564 


35 7 o35 7 6 


3582 


3588 


3 9 


20 


9 9 856i3 


56i8 


5624 


5629 


5635 


564o 


3 9 


21 


35 9 4 


35 99 


36o5 


36n 


3617 3623 


38 


21 


5646 


565! 


565 7 


5662 


5668 


56 7 3 


38 


22 


3629 


3635364i 


364 7 


3653 3658 


37 


22 


56 79 


5684 


5690 


56 9 5 


5701 


5 7 o6 


3? 


23 


3664 


36 7 o 


36 7 6 I 3682 


3688 


36 9 4 


36 


23 


5712 


5 7 i 7 


5 7 23 


5 7 28 


5 7 34 


5 7 3 9 


36 


24 


3700 


3 7 o5 


3 7 n 


3 7 i 7 


3 7 23 


3 7 2 9 


35 


24 


5 7 45 


5 7 5o 


5 7 56 


5 7 6i 


5 7 6 7 


5 77 2 


35 


25 


3 7 35 


3 7 4i 


3 7 4 7 


3752 


3 7 58" 


3 7 64 


34 


25 


5 77 8 


5 7 83 


5789 


5 79 4 


58oo 


58o5 


34 


26 


3 77 o 


3 77 6 


3 7 82 


3 7 88 


3 79 4 


3 799 


33 


26 


58n 


58i6 


5822 


582 7 


5832 


5838 


33 


2 7 


38o5 


38n 


38i 7 


3823 


382 9 


3835 


32 


27 


5843 


5849 


5854 


586o 


5865 


58 7 i 


32 


28 


384o 


3846 


3852 


3858 


38643870 


3i 


28 


58 7 6 


588 2 


588 7 


58 9 3 


58 9 8 


5 9 o3 


3i 


29 


38 7 5 


388i 


388 7 38 9 3 


38993905 


3o 


29 


5 9 o 9 


5 9 i4 


5920 


5 92 5 


5 9 3i 


5 9 36 


3o 


3o 
3i 


9.983911 
3 9 46 


3 9 i6 
3 9 5i 


3922 
3 9 5 7 


3 9 28 
3 9 63 


3934 3g4o 
39693975 


29 

28 


3o 
3i 


9.985942 
5 97 4 


5 9 4 7 
5 9 8o 


5 9 5 2 
5 9 85 


5 9 58 
5 99 i 


5963 5969 
5996 6001 


29 

28 


32 


3 9 8i 


3 9 86 3 99 2 


3 99 8 


4oo4!4oio 


27 


32 


6oo 7 


6012 


6018 


6023 


6029 


6o34 27 


33 


4oi5 


4O2I 


402 7 


4o33 


4o394o45 


26 


33 


6o3 9 


6o45 


6o5o 


6o56 6061 6067 26 


34 


4o5o 


4o56 4062 


4o68 


4074^4079 


25 


34 


6072 


6o 77 


6o83 


6088 6094 6099 


25 


35 


4o85 


4o 9 i 


4o 97 4io3 


4io84ii4 


24 


35 


6io4 


6110 


6n5 


612116126 6i32 


24 


36 


4l20 


4126 4i32 4i3 7 


4i43 ! 4i49 


23 


36 


6137 


6142 


6i48 


6i53j6i5 9 6i64 


23 


37 

38 


4x55 

4190 


4i6i 
4i 9 5 


4i66 
4201 


4172 
4207 


41784184 
42134218 


22 
21 


37 
38 


6169 
6202 


6i 7 5 

620 7 


6180 
6212 


6186 
6218 


619116196 
6223 6229 


22 
21 


3 9 


4224 


423o 4236 4242 


42474253 


2O 


3 9 


6234 


6 2 3 9 


6245 


625o 


6 2 56 


6261 


20 


4o 


9.984259 


4265 


42 7 O|42 7 6 


4282 4288 


19 


4o 


9.986266 


62 7 2 


6277 


6282 


6288 


62 9 3 


'9 


4i 


4294 


4299 


43o543ii 


43174322 


18 


4i 


6299 


63o4 63p 9 


63i5 


6320 


6325 


18 


42 


4328 


4334434o4345 


435i 4357 


17 


42 


633 1 


6336 6342 


634 7 


6352 


6358 


l l 


43 


4363 


436843 7 4438o 


4386,4391 


16 


43 


6363 


6368 63 7 4 


6379 


6384 


6390 


it 


44 


43 9 7 


44o3 4409 


44i4 


4420 4426 


i5 


44 


63 9 5 


64oi 


64o6 


64xi 


6417 6422 


i5 


45 


4432 


443 7 4443 


4449 


4455 446o 


x4 


45 


6427 


6433 6438 


6443 


644 9 ! 6454 


i4 


46 


4466 


44 7 2 447 7 


4483 


4-4-^Q 4*40^ 


i3 


46 


645 9 


6465 64 7 o 


6475 


648 1 


6486 


i3 


47 


45oo 


45o6 


45i245i8 


45234529 


12 


47 


6491 


649 7 65o2 


6507 


65i3 


65i8 


12 


48 


4535 


454o 454614552 


45584563 


II 


48 


65 2 3 


6029 


6534 


653 9 


6545 655o 


II 


49 


456 9 


45 7 5458o4586 


45 9 2 45 9 8 


IO 


49 


6555 


656i 


6566 


6571 


65 77 !6582 


10 


5o 


9.984603 


4609 


46i5462o 


462614632 


9 


5o 


9.986587 


65 9 3 


65 9 8 


66o3 


66086614 


9 


5i 


4638 


4643 464 9 4655 


466c 4666 


8 


5i 


6619 


6624 


663o 


6635 


664o 6646 


8 


52 


46 7 2 


46774683 


468 9 


46944700 


7 


52 


665i 


6656666i 


6667 


6672 6677 


7 


53 


4 7 o6 


4712:4717 


4723 


4729 4?34 


6 


53 


6683 6688 6693 


6699 


6704 6709 


6 


54 


4 7 4o 


4 7 46 


4 7 5i 


4 7 5 7 


47634768 


5 


54 


6714 6720 6725 


6 7 3o 


6 7 366 7 4i 


5 


55 
56 


4774 
48o8 


47804785 
48i448i 9 


4791 

4825 


4 7 9 7 4802 
483i 4836 


4 
3 


55 
56 


6 7 46 
6778 


6 7 5i 6 7 5 7 6 7 62 676 7 j6 77 3 
6 7 83 6788 6794 6 7 9 9 J68o4 


4 
3 


57 


4842 


4848 


4853 


485 9 


48654870 


2 


5 7 


6809 


68i5 6820 6825 


683i 6836 


2 


58 


'48 7 6 


488 2 ! 488 7 


48 9 3 


48994904 


I 


58 


684i 


6846 6852 6857 686a]686y 


I 


5o 


49104916,4921 


492749324938 


o 


59 


68 7 3 


68786883 


6888 


68 9 4 


6899 







60" 50" I 
II 


40" 


30" | 20" j 10" 


d 




60" 


50" 40" 


30" 


20" 


10" 


jft 




Co-sine of 15 


Degrees. 







Co-sine of 14 Degrees. 


9 


( 1" 2" *V 4" 

*P T*-J * j " 


5" 6" 7" 8" 9" 


t < 1" 2" 3" 4" 5" 6" 7" 8" 9" 


* l { 1 1 8 


2 


33455 


in \ 1 1 2 2 3 3 4 4 5 



LOGARITHMIC TANGENTS. 



99 



d 


Tangent of 74 Degrees. 




_g 


Tangent of 75 Degrees. 




s 


0" 


10" 


20 


30" 


40" 


50" 




9 


0" 


10" 


20" 


30" 


40" 


50" 




o 


io.5425o4 


2583 


2663 


2 7 42 


2822 


2 9 OI 


5 9 





io.5 7 i948 


2032 


2116 


22OO 


2285 


236 9 


5 9 


I 


2981 


3o6o 


3i4o 


32I 9 


32 99 


33 7 8 


58 


I 


2453 


2 53 7 


2622 


2 7 o6 


2 79 


28 7 5 


58 


2 


3458 


3538 


36i 7 


36 97 


3 777 


3856 


5 7 


2 


2 9 5 9 


3o44 


3i28 


3212 


32 97 


338i 


5 7 


3 


3 9 36 


4oi6 


4095 


4i 7 5 


4255 


4335 


56 


3 


3466 


355o 


3635 


3 7 i 9 


38o4 


3888 


56 


4 


44i4 


4494 


4574 


4654 


4733 


48i3 


55 


4 


3 97 3 


4o58 


4i42 


422 7 


43n 


43 9 6 


55 


5 


48 9 3 


4 97 3 


5o53 


5i33 


52i3 


52 9 2 


54 


5 


448 1 


4565 


465o 


4 7 35 


48i 9 


4 9 o4 


54 


6 


53 7 2 


5452 


5532 


56i2 


5692 


5 77 2 


53 


6 


4989 


5o 7 3 


5i58 


5243 


5328 


54i3 


53 


7 


5852 


5 9 32 


6012 


6092 


6172 


6252 


52 


7 


5497 


5582 


566 7 


5 7 52 


583 7 


5 9 22 


52 


8 


6332 


6412 


6492 


65 7 2 


6653 


6 7 33 


5i 


8 


6007 


6091 


6i 7 6 


6261 


6346 


6/i3i 


5i 


9 


68i3 


68 9 3 


6 97 3 


7 o53 


7i33 


7214 


5o 


9 


65i6 


6601 


6686 


6 77 i 


6856 


6 9 4i 


5o 


10 


10.547294 


7 3 7 4 


7 454 


7 535 


76i5 


76 9 5 


49 


10 


10.577026 


7 II2 


7197 


7 282 


7 36 7 


7452 


49 


n 


777 5 


7 856 


7936 


8016 


8097 


8177 


48 


ii 


7 53 7 


7 622 


77 o8 


779 3 


7 8 7 8 


7963 


48 


12 


8 2 5 7 


8338 


84i8 


8498 


85 79 


865 9 


47 


12 


8o48 


8i34 


82I 9 


83o4 


83 9 o 


8475 


47 


i3 


8y4o 


8820 


8 9 oi 


8981 


9062 


9142 


46 


i3 


856o 


8646 


8 7 3i 


8816 


8 9 02 


8987 


46 


i4 


9223 


9 3o3 


9 384 


9464 


9 545 


9625 


45 


i4 


9073 


9i58 


9 243 


9329 


9 4i4 


gSoo 


45 


i5 


9706 


9787 


9867 


9948 


..28 


. 109 


44 


ii 


9 585 


96 7 i 


9756 


9 842 


99 28 


..i3 


44 


16 


10.550190 


0270 


o35i 


0432 


o5i3 


0593 


43 


16 


10.580099 


0184 


O2 7 O 


o356 


o44i 


0527 


43 


i? 


0674 


o 7 55 


o836 


0916 


0997 


1078 


42 


l? 


o6i3 


0698 


o 7 84 


08-70 


o 9 56 


io4i 


42 


18 


n5 9 


1240 


1320 


i4oi 


1482 


i563 


4i 


18 


1127 


I2l3 


1299 


1 384 


"1470 


i556 


4i 


*9 


1 644 


1725 


1806 


i88 7 


1968 


2049 


4o 


T 9 


1642 


1728 


1814 


I 9 OO 


i 9 86 


2072 


4o 


20 


io.552i3o 


2211 


2292 


2 3 7 3 


2454 


2535 


3 9 


20 


io.582i58 


2243 


2329 


2 4i5 


25oi 


2 58 7 


3 9 


21 


2616 


2697 


2778 


2 85 9 


2940 


3021 


38 


21 


2674 


2760 


2846 


2 9 32 


3oi8 


3io4 


38 


22 


3l02 


3i83 


3265 


3346 


3427 


35o8 


37 


22 


3190 


3276 


3362 


344 9 


3535 


362i 


37 


23 


358 9 


3670 


3752 


3833 


3914 


3995 


36 


23 


3 7 o 7 


3 79 3 


388o 


3 9 66 


4o52 


4i38 


36 


24 


4077 


4i58 


4239 


4321 


4402 


4483 


35 


24 


4225 


43n 


43 97 


4484 


45 7 o 


465 7 


35 


25 


4565 


4646 


4728 


48o 9 


48 9 o 


4972 


34 


25 


4743 


482 9 


4 9 i6 


5OO2 


5o8 9 


5i 7 5 


34 


26 


5o53 


5i35 


52i6 


5298 


53 79 


5461 


33 


26 


5262 


5348 


5435 


552i 


56o8 


56 9 4 


33 


27 


5542 


5624 


0705 


5 7 8 7 


5868 


5 9 5o 


32 


2 7 


5 7 8i 


5868 


5 9 54 


6o4i 


6l2 7 


6214 


32 


28 


6o32 


6n3 


6i 9 5 


62 7 6 


6358 


644o 


3i 


28 


63oi 


638 7 


64 7 4 


656i 


6648 


6 7 34 


3i 


29 


652i 


66o3 


6685 


6 7 66 


6848 


6930 


3o 


29 


6821 


6 9 o8 


6 99 5 


7 o8i 


7 i68 


7255 


3o 


3o 


10.557012 


79 3 


7i 7 5 


7 25 7 


7339 


7421 


29 


3o 


10.587342 


7 42 9 


7 5i6 


7 6o3 


7690 


7776 


2 9 


3i 


7603 


7584 


7666 


77 48 


7 83o 


7912 


28 


3i 


7 863 


79 5o 


8o3 7 


8124 


8211 


82 9 8 


28 


32 


7994 


8076 


8i58 


8240 


8322 


84o4 


2 7 


32 


8385 


8472 


855 9 


864 7 


8 7 34 


8821 


2 7 


33 


8486 


8568 


865o 


8 7 3 2 


88i4 


8896 


26 


33 


8908 


8 99 5 


9 o82 


9 i6 9 


9 a5 7 


9 344 


26 


34 


8978 


9060 


9142 


9224 


9306 


9388 


25 


34 


9 43 1 


9 5i8 


9 6o5 


9 6 9 3 


9 7 8o 


9 86 7 


25 


35 


9471 


9 553 


9 635 


9717 


9799 


9881 


24 


35 


99 55 


..42 


.I2 9 


2I 7 


.3o4 


.3 9 i 


24 


36 


99^4 


..46 


.128 


.210 


.293 


.3 7 5 


23 


36 


io.5 9 o47 9 


o566 


o654 


o 7 4i 


0829 


o 9 i6 


23 


37 


10. 560467 


o54o 


0622 


0704 


0787 


0869 


22 


37 


ioo4 


io 9 i 


n 79 


1266 


i354 


i44i 


22! 


38 


og52 


io34 


1 116 


1199 


1281 


1 364 


21 


38 


i52 9 


1616 


i 7 o4 


I 79 2 


i8 79 


i 9 67 


21 . 


3 9 


1 446 


1529 


1611 


1694 


1776 


i85 9 


20 


3 9 


2o55 


2142 


2230 


23l8 


2406 


24 9 3 


20 


4o 


10.561941 


2024 


2106 


2189 


2272 


2354 


'9 


4o 


io.5 9 258i 


266 9 


2 7 5 7 


2845 


2932 


3O2O 


I 9 


4i 


2437 


2520 


2602 


2 685 


2768 285o 


18 


4i 


3io8 


3i 9 6 


3284 


33 7 2 


346o 


3548 


18 


42 


2 9 33 


3oi6 


3099 


3i8i 


32643347 


l l 


42 


3636 


3 7 24 


38i2 


3 9 oo 


3 9 88 


4076 


17 


43 


343o 


35i2 


35 9 5 


36 7 8 


3761 3844 


16 


43 


4i64 


4252 


434o 


4428 


45i6 


46o4 


16 


44 
45 


3 9 2 7 

4424 


4oio 
4507 


4o 9 3 
45 9 o 


4i75 
46 7 3 


4258434i 
4 7 56483 9 


i5 
i4 


44 
45 


46 9 2 

5222 


4 7 8i 
53io 


486 9 
53 9 8 


4 9 5 7 
5486 


5o45 
55 7 5 


5i33 
5663 


i5 
i4 


46 


4922 


5oo5 


5o88 


5l 7 2 


5255 5338 


i3 


46 


5 7 5i 


584o 


5 9 28 


6oi 7 


6io5 


6i 9 3 


i3 


47 


542i 


55o4 


558 7 


56 7 o 


5 7 54583 7 


12 


47 


6282 


63 7 o 


645 9 


654 7 


6636 


6724 


12 


48 


5920 


6oo3 


6086 


6i 7 o 


6253^6336 


II 


48 


68i3 


6 9 oi 


6 99 o 


7 o 7 8 


7167 


7256 


II 


49 


6420 


65o3 


6586 


6669 


6 7 53:6836 


IO 


49 


7344 


7 433 


7 522 


7 6io 


7699 


7788 


10 


5o 


10.566920 


7003 


-7086 


7 i 7 o 


72 53 7 33 7 


9 


5o 


io.5 97 8 7 6 


7965 


8o54 


8i43 


823i 


8320 


9 


5i 


7420 


7 5o4 


7 58 7 


7 6 7 i 


77 54' 7 838 


8 


5i 


84o 9 


84 9 8 


858 7 


86 7 5 


8 7 64 


8853 


8 


52 


7921 


8oo5 


8088 


8l 7 2 


8 2 55'833 9 


7 


52 


8 9 42 


9 o3i 


9 I20 


9 2O 9 


9 2 9 8 


9 38 7 


7 


53 


8423 


85o6 


85 9 o 


8674 


8 7 5 7 ;884i 


6 


53 


9 4 7 6 


9 565 


9 654 


9743 


9 832 


99 2I 


6 


54 


8 9 25 


9008 


9 O 9 2 


9176 


92609343 


5 


54 


10.600010 


OIOO 


oi8 9 


02 7 8 


o36 7 


o456 


5 


55 


9427 


95 1 1 


9 5 9 5 


9679 


97 63 9 846 


4 


55 


o545 


o635 


7 24 


o8i3 


9 02 


O 99 2 


4 


56 


9 9 3o 


..i4 


..98 


.182 


.266 .35o 


3 


56 


1081 


II 7 O 


1260 


1 349 


i438 


i528 


3 


5 7 


10.570434 


o5i8 


0602 


0686 


o 77 o o854 


2 


5 7 


161-7 


I 7 o6 


i 79 6 


i885 


i 97 5 2064 


2 


58 


o 9 38 


IO22 


1106 


1 190 


i2 7 4 i358 


I 


58 


2i54 


2243 


2333 


2422 


25l2 26OI 


I 


5 9 


i442 


l52 7 


161 1 


:6 9 5 


i 779 i863 





5 9 


2691 2 7 8i 


28 7 O 


2 9 6o 


3o5o3i3 9 







60" 


50" 40" 


30" 


20" 10" 


. 




60" 50" 


40" 


30" 


20" 10" 


. 




To-tangei-t of 15 Degrees. 


'% 




Co-tangent of 14 Degrees. 





PPartJ l " 2// 3 " 4 " 5 " 6 " 7// 8 " 9// 


C 1" 2" 3" 4" 5" 6" 7" 8" 9" 


in l 8 16 25 33 41 49 57 65 74 


irt j 9 17 26 35 43 52 61 69 78 



100 



LOGARITHMIC SINES. 



1 


Sine of 76 Degrees. 




_c 


Sine of 77 Degrees. 




8 


0" 


10" 


20" 


30" 


40" 


50" 




^ 


0" [ 10" 


20" 


30" 


40" 


50" 




o 


9.986904 


6909 


6 9 i5 


6920 


6925 


6930 59 


o 


9.988 7 24|8 7 29 


8734 


8739 


8 7 43 


8 7 48 


5 9 


i 


6 9 36 


6 9 4i 


6946 


6951 


6 9 5 7 


6962 


58 


I 


8 7 53 


8 7 58 


8 7 63 


8 7 68 


8 77 2 


8777 


58 


2 


6 9 6 7 


6 97 2 


6 97 8 


6 9 83 


6988 


6 99 3 


57 


2 


8 7 8 2 


8787 


8 79 2 


8797 


8802 


8806 


57 


3 


6998 


7 oo4 


7 oo 9 


7014 


7019 


7025 


56 


3 


8811 


8816 


8821 8826 


883i 


8835 


56 


4 


7 o3o 


7 o35 


7 o4o 


7 o45 


7 o5i 


7o56 


55 


4 


884o 


8845 


885o 


8855 


8860 


8864 


55 


5 


-7061 


-7066 


7 7 2 


7077 


7 o82 


7087 


54 


5 


8869 88 7 4 


88 79 


8884 


888 9 


8893 


54 


6 


7092 


7 o 9 8 


7 io3 


7 io8 


7 n3 


7118 


53 


6 


8898 8903 


8908 


8 9 i3 


8918 


8922 


53 


7 


7124 


7129 


7 i34 


7 i3 9 


7 i44 


7i5o 


52 


7 




8 9 3 7 


8942 


8 9 46 


8 9 5i 


52 


8 


7 i55 


-7160 


7 i65 


7 i 7 o 


7 i 7 6 


7181 


5i 


8 


89568961 


8966 


8970 


8975 


8980 


5i 


9 

10 


7186 
9.987217 


-7191 

7 222 


-7228 


-7202 
7 233 


7 20 77 2I2 
7 238 7 243 


5o 
49 


9 

10 


8 9 85 
9.989014 


8 99 o 
9 oi8 


8 99 4 
9023 


8999 
9028 


9004 
9o53 


9009 

9o38 


5o 
49 


ii 


7248 


7 253 


-7259 -7264 


7 269! 7 2 7 4 


48 


ii 


9042 


9047 


go52 


9 5 7 


9062 


9066 


48 


12 


7279 


72 84 


7 2 9 7 2 9 5 


7 3oo 7 3o5 


47 


12 


9071 


907619081 


9085 


9090 


9 o 9 5 


47 


i3 

U 


73io 
734i 


7 3i5 
7 346 


7 32i 7 326 
7 352 ! 7 35 7 


7 33i 7 336 
7 362 7 36 7 


46 
45 


i3 

i4 


9100 

9128 


9 io5 
9i33 


91099114 
913819143 


9119 
9148 


9124 
9152 


46 
45 


i5 
16 


7372 
74o3 


7377 
7 4o8 


7 383 ;7 388 
7 4i3 -7419 


7393-7398 


44 
43 


i5 
16 


9 i5 7 
9186 


9162 
9190 


9i6 79 i 7 i 
9195 9200 


91-76 
9205 


9181 
9209 


44 
43 


17 
18 


7434 
7465 


743 9 
7 4 7 o 


7 444 7 449 
7 4 7 5 7 48o 


7 454 7 46o 
7 485 -7490 


42 

4i 


; 8 7 


92149219 
9243 924 7 


9224 
9252 


9228 
9 25 7 


9 233 


9238 
9266 


42 

4i 


i 9 


7496 


7 5oi 


7 5o6 7 5i i 


7 5i6 7 52i 


4o 


'9 


92-71 


9276 


9281 


9285 


9290 


9295 


4o 


20 


9.987526 


7 53i 


7 53 7 1 7 542 


7547 


7 55 2 


39 


20 


9.989300 


93o4 


9 3o 9 


9 3i4 


9 3i8 


9 323 


39 


21 


7 55 7 


7 562 


7 56 7 7 5 7 2 


7 5 777 583 


38 


21 


9328 


9333 


933 7 


9342 


9 34 7 


935a 


38 


22 


7588 


7 5 9 3 


-7598 7 6o3 


7 6o8 7 6i3 


37 


22 


9 356 


9 36i 


9366 


9 3 7 o 


9 3 7 5 


9380 


37 


23 


7618 


7 6 2 3 


7 628 7 634 


76397644 


36 


23 


9385 


9 38 9 


9394 


9 3 99 


9 4o3 


9408 


36 


24 


7649 


7 654 


7659-7664 


7669,7674 


35 


24 


94 1 3 


9417 


9422 


9 42 7 


9 43 2 


9 436 


35 


25 


7679 


7 684 


-7690 -7695 


7700 


7705 


34 


25 


944i 


9446 


945o 


9 455 


9 46o 


9464 


34 


26 


7710 


77 i5 


77 20 77 25 


773o 


7735 


33 


26 


9469 


9474 


9479 


9 483 


9 488 


9493 


33 


27 


774o 


7745 


77 5o 77 56 


7761 


77 66 


32 


2 7 


9497 


9502 


9 5o 7 


9 5n 


9 5i6 


9521 


32 


28 


7771 


777 6 


77 8i 7786 


7791 


779 6 


3i 


28 


9 5 2 5 


9 53o 


9535 


9 53 9 


9 544 


9549 


3i 


29 


7801 


-7806 


7811 7816 


7821 




3o 


2 9 


9 553 


9 558 


9 563 


9 568 


9 5 7 2 


95 77 


3o 


3o 


9.987832 


7 83 7 


7842 7847 


7852 


?85 7 


2 9 


3o 


9.989582 


9 586 


9591 


9 5 9 6 


9 6oo 


9605 


2 9 


3i 


7862 


7 86 7 


7872 7 8 77 


7882 


7887 


28 


3i 


9610 


9614 


9619 


9 623 


9 628 


9633 


28 


32 


7892 


7897 


-7902 -790-7 


7912 


79 i 7 


2 7 


32 


9 63 7 


9642 


964-7 


9 65i 


9 656 


9661 


27 


33 


7922 


7927 


79 32 79 3 7 


7942 


7947 


26 


33 


9 665 


9670 


9 6 7 5 


9 6 79 9 684 


9689 


26 


34 


79 53 


7958 


-7963 -7968 


797 3 


7978 


25 


34 


9693 


9698 


97 o3 


97079719 


9-716 


25 


35 


79 83 


7988 


799 3 799 8 


8oo3 


8008 


24 


35 


9-721 


9726 


97 3o 


97 35 97 4o 


9 7 44 


24 


36 


8oi3 


8018 


8o23 8o288o33 


8o38 


23 


36 


9749 


97 53 


9758 


97 63 97 6 7 


9772 


23 


3 7 


8o43 


8o48 


8o53 8o58 8o63 


8068 


22 


37 


9777 


9781 


97 86 


979 979 5 


9800 


22 


38 


8o 7 3 


8078. 


8o83 8o33 3o 9 3 


8098 


21 


38 


9 8o4 


9809 


9814 


9 8i8 


9 8 2 3 


982-7 


21 


3 9 


8io3 


8108 


8ii38ii88ia3 


8128 


2O 


3 9 


9832 


9 83 7 


984i 


9 846 


9 85o 


9 855 


2O 


409.988133 


8i38 


8i438i488i53 


8i58 


'9 


4o 


9.989860 


9864 


9869 


9873 


9 8 7 8 


9883 


I 9 


4i 


8i63 


8168 


8i 7 38i 7 88i83 


8188 


18 


4i 


9887 


9892 


9896 


99 oi 


99 o6 99 io 


18 


42 
43 
44 


8193 
8223 

8252 


8198 
8227 
8 2 5 7 


8ao3 82088213 
8232823-78242 
8262'826 7 82-72 


8218 
8247 

82 77 


16 
i5 


42 

43 

44 


99 i5 

99 42 
997 


9919,9924 
99479952 

9974 9979 


99 2 9 
99 56 

99 84 


9933 
9961 
9988 


99 38 
99 65 
999 3 


16 
i5 


45 8282 


8287 


8292 829 7 83o2 


83o 7 


i4 


45 


9997 


. . .2 


...6 


. . ii 


..16 


. .20 


i4 


46 


83i2 


83i 7 


8322'832 7 :8332 


8337 


i3 


46 


9 . 99 OO25 


0029 


oo34 


oo38 


oo43 


oo48 


i3 


4? 8342 


8346 


835i8356836i 


8366 


12 


47 


0052 


0057 


0061 


0066 


00-70 


oo 7 5 


12 


48 83 7 i 


83 7 6 


838i'8386839i 


8396 


II 


48 


oo 79 


oo84 


0088 


oo 9 3 


0098 


0102 


II 


49 84oi 


84o6 


84n 84168420 


8425 


10 


49 


0107 


01 II 


0116 


OI2O 


OI25 


OI2 9 


10 


509.988430 


8435 


844o 8445 845o 


8455 


9 


5o 


9.990134 


oi38 


oi43 


oi48 


Ol52 


oi5 7 


9 


5i| 846o 


8465 


84 7 o 


84 7 5 848o 


8484 


8 


5i 


0161 


0166 


OI 7 O 


oi 7 5 


01-79 


oi84 


8 


52 


848 9 


8494 


8499 


85o4 85o 9 


85i4 


7 


52 


0188 


0193 


019-7 


0202 


0206 


02 1 1 


7 


53 85i 9 


8524 


8529 


85348538 


8543 


6 


53 


02l5 


0220 


O225 


O22 9 


0234 


0238 


6 


54 8548 


8553 


8558 


85638568 


85 7 3 


5 


54 


0243 


0247 


O252 


0256 


0261 


0265 


5 


55 85 7 8 


8583 


858 7 


85 9 2 85 97 


8602 


4 


55 


0270 


0274 


02 7 9 


0283 


0288 


O2 9 2 


4 


56 


86o 7 


8612 


8617 


86228626 


863i 


3 


56 


02 9 7 


o3oi 


o3o6 


o3io o3i5 


o3i 9 


3 


57 


8636 


864i 


8646 


865i 8656 


8661 


2 


57 


0324 


o328 


o333 


o33 7 o342 


o346 


2 


58 8666 


86 7 o 


86 7 5 


8680 8685 


8690 


I 


58 


o35i 


o355 


o36o 


o364 o36 9 


o3 7 3 


I 


5 9 86 9 5 


8 7 oo 


8704 


8709 8714 


8719 





59 


o3 7 8 


o382Jo386 


o3 9 i o3 9 5 


o4oo 







60" 


50" 


40" 


30" 20" 


10" 


d 




60" 


50" 40" 


30" 20" 


10" 


d 




Co-sine of 13 Degrees. 


3 




Co-sine of 12 Degrees. 


i 


.< 1" 2" 3" 4" 5" 6" 7" 8" 9" 


.( 1" 2" 3" 4" 5" 6" 7" 8" 9" 


in \ 1 1 2 2 3 3 4 4 5 


""M 01 122 3344 



LiOGARITHMIC TANGENTS. 



10! 



1 


Tangent of 76 Degrees. 




d 


Tangent of 77 Degrees. 




* 


0" 


10" 


20" 


30" 


40" 


50" 




J 


0" 


10" 


20" 


30" 


40" 


50" 







10.603229 


33i 9 


34o8 


34 9 8 


3588 


3678 


5 9 





10.636636 


6 7 3 2 


6828 


6 9 24 


7 020 


7116 


5 9 


I 


3 7 6 7 


3857 


3 9 4 7 


4087 


4127 


4217 


58 


I 


7 2l3 


7 3o 9 


7 4o5 


7 5oi 


7 5 97 


760.4 


58 


2 


43o6 


43 9 6 


4486 


45 7 6 


4666 


47^6 


5 7 


2 


779 


7 886 


7983 


8o 79 


8i 7 5 


8272 


5 7 


3 


4846 


4g36 


5026 


5n6 


5206 


52 9 6 


56 


3 


8368 


8465 


856i 


865 7 


8 7 54 


885o 


56 


4 


5386 


5477 


556 7 


565 7 


5 7 4 7 


583 7 


55 


4 


8 9 47 


9 o43 


9 i4o 


9 23 7 


9 333 


9 43o 


55 


5 


5927 


6017 


6108 


6i 9 8 


6288 


63 7 8 


54 


5 


9 526 


9 623 


97 20 


9 8i6 


99 i3 


. . 10 


54 


6 


6469 


655 9 


664 9 


6740 


683o 


6920 


53 


6 


10.640107 


O2O3 


o3oo 


o3 97 


o4 9 4 


o5 9 i 


53 


7 


7011 


7101 


7i9 2 


7282 


7 3 7 2 


7463 


52 


7 


0687 


o 7 84 


0881 


o 97 8 


io 7 5 


1172 


52 


8 


7553 


7644 


77 34 


7825 


79 i5 


8006 


5i 


8 


I26 9 


i366 


i463 


i56o 


i65 7 


17^4 


5i 


9 


8097 


8187 


8278 


8368 


845 9 


855o 


5o 


9 


i85i 


i 9 48 


2046 


2i43 


2240 


2 33 7 


5o 


10 


10 6o86,4o 


8 7 3! 


8822 


8 9 i3 


9 oo3 


9094 


4Q 


10 


io.642434 


2 53i 


262 9 


2 7 26 


2823 


2 9 2I 


4 9 


ii 


9i85 


9276 


9 36 7 


9 45 7 


9 548 


9 63 9 


48 


1 1 


3oi8 


3n5 


32i3 


33io 


34o 7 


35o5 


48 


12 


97 3o 


9821 


99 I2 


...3 


.. 9 4 


.i85 


47 


12 


36o2 


3 7 oo 


3 797 


38 9 5 


3992 


4o 9 o 


4 7 


i3 


10.610276 


o36 7 


o458 


o54 9 


o64o 


o 7 3i 


46 


i3 


4i8 7 


4285 


4383 


448o 


45 7 8 


4676 


46 


i4 


0822 


0913 


ioo4 


io 9 5 


1186 


1278 


45 


i4 


4773 


48 7 i 


4 9 6 9 


5o66 


5i64 


5262 


45 


i5 


1369 


i46o 


i55i 


1642 


1734 


1825 


44 


i5 


536o 


5458 


5555 


5653 


5 7 5i 


584 9 


44 


16 


1916 


2008 


20 99 


2I 9 O 


2282 


23 7 3 


43 


16 


,- 5 9 4 7 


6o45 


6i43 


6241 


633 9 


643 7 


43 


I 7 


2464 


2556 


2647 


2 7 3 9 


2 83o 


2 9 22 


42 


"7 


6535 


6633 


6 7 3i 


682 9 


6 9 27 


7026 


42 


18 


3oi3 


3io5 


3i 9 6 


3288 


33 79 


3471 


4i 


18 


7124 


7 222 


7 320 


7 4i8 


7 5i 7 


7 6i5 


4i 


I 9 


3562 


3654 


3 7 46 


3837 


3 9 2 9 


4O2I 


4o 


I 9 


77i3 


ySlI 


79 io 


8008 


8106 


8 2 o5 


4o 


20 


io.6i4ii2 


4204 


42 9 6 


4388 


4479 


45 7I 


3 9 


20 


io.6483o3 


8402 


85oo 


85 99 


86 97 


8 79 6 


39 


21 


4663 


4755 


4847 


4 9 38 


5o3o 


5l22 


38 


21 


88 9 4 


8993 


9 o 9 i 


9 i 9 o 


9 288 


9 38 7 


38 


22 


5 2 i4 


53o6 


53 9 8 


5490 


5582 


56 7 4 


37 


22 


9 486 


9 584 


9 683 


97 8 2 


9 88o 


9979 


3 7 


23 


5 7 66 


5858 


5 9 5o 


6042 


6i34 


6226 


36 


23 


10.650078 


0177 


02 7 6 


o3 7 4 


o4 7 3 


0572 


36 


24 


63i8 


64n 


65o3 


65 9 5 


6687 


6 779 


35 


24 


0671 


0770 


o86 9 


o 9 68 


1067 


1166 


35 


25 


6871 


6964 


7 o56 


7 i48 


7241 


7 333 


34 


25 


1265 


1 364 


i463 


i562 


1661 


1760 


34 


26 


7425 


7 5i8 


7610 


7702 


779 5 


7 88 7 


33 


26 


i85 9 


i 9 58 


2o58 


2l5 7 


2256 


2355 


33 


27 


7980 


8072 


8i64 


8257 


834 9 


8442 


32 


27 


4455 


2554 


2653 


2 7 52 


2852 


2 9 5l 


32 


28 


8534 


8627 


8720 


8812 


8 9 o5 


8 997 


3i 


28 


3o5i 


3i5o 


324 9 


334 9 


3448 


3548 


3i 


29 


9090 


9183 


9 2 7 5 


9 368 


9 46i 


9 554 


3o 


29 


3647 


3 7 4 7 


3846 


3 9 46 


4o46 


4i45 


3o 


3o 


10.619646 


97 3 9 


9 832 


99 25 


..17 


. no 


2 9 


3o 


10.654245 


4344 


4444 


4544 


4643 


4743 


2 9 


3i 


IO.62O2O3 


O2 9 6 


o38 9 


0482 


o5 7 5 


0668 


28 


3i 


4843 


4 9 43 


5o43 


5i42 


5242 


5342 


28 


32 


0761 


o854 


o 9 47 


io4o 


ii33 


1226 


2 7 


32 


5442 


5542 


5642 


5 7 42 


5842 


5 9 42 


27 


33 


1319 


1412 


i5o5 


i5 9 8 


i6 9 i 


i 7 84 


26 


33 


6042 


6142 


6242 


6342 


6442 


6542 


26 


34 


'1878 


1971 


2064 


2167 


22J)O 


2344 


25 


34 


6642 


6 7 42 


6842 


6 9 43 


7 o43 


7i43 


25 


35 


2437 


253o 


2624 


2717 


2810 


2 9 o4 


24 


35 


7243 


7 344 


7 444 


7 544 


7 645 


77 45 


24 


36 


2997 


3090 


3i84 


3277 


3371 


3464 


23 


36 


7845 


79 46 


8o46 


8i4 7 


8247 


8348 


23 


3? 


3558 


365i 


3745 


3838 


3 9 32 


4o25 


22 


37 


8448 


854 9 


864 9 


8 7 5o 


885o 


8 9 5i 


22 


38 


4119 


42l3 


43o6 


44oo 


44 9 4 


458 7 


21 


38 


9 o52 


9 l52 


9 253 


9 354 


9 454 


9 555 


21 


3 9 


468i 


4775 


486 9 


4 9 62 


5o56 


5i5o 


20 


39 


9 656 


97 5 7 


9 85 7 


99 58 


..5 9 


.160 


2O 


4o 


10.625244 


5338 


543i 


55 2 5 


56i 9 


5 7I 3 


I 9 


4o 


10.660261 


o362 


o463 


o564 


o665 


0766 


I 9 


4i 


5807 


5901 


5 99 5 


6o8 9 


6i83 


62 77 


18 


4i 


0867 


o 9 68 


io6 9 


II 7 


1271 


1372 


18 


42 


6371 


6465 


655 9 


6653 


6747 


684i 


?7 


42 


i4?3 


i5 7 4 


i6 7 6 


i 777 


1878 


I 9 7 9 


"7 


43 


6 9 36 


7o3o 


7124 


7218 


7312 


7 4o 7 


16 


43 


2081 


2182 


22-83 


2385 


2486 


2 58 7 


16 


44 


75oi 


7 5 9 5 


7 68 9 


7784 


7878 


7972 


i5 


44 


2680. 


2 79 


28 9 2 


2 99 3 


3o 9 5 


3i 9 6 


i5 


45 


8067 


8161 


8 2 56 


835o 


8444 


853 9 


i4 


45 


32 9 8 


33 99 


35oi 


36o2 


3 7 o4 


38o6 


i4 


46 


8633 


8728 


8822 


8 9 i 7 


9 OII 


9 io6 


i3 


46 


3 9 O7 


4oo 9 


4m 


4212 


43i4 


44i6 


i3 


4? 


9201 


9 2 9 5 


9 3 9 o 


9 484 


9 5 79 


9 6 7 4 


12 


47 


45i8 


4620 


4 7 2I 


4823 


4 9 25 


5027 


12 


48 


9768 


9 863 


99 58 


..53 


i4 7 


.242 


II 


48 


5i2 9 


5 2 3i 


5333 


5435 


553 7 


563 9 


II 


49 


io.63o337 


0432 


0527 


0622 


0716 


0811 


10 


49 


574i 


5843 


5 9 45 


6o4 7 


6i4 9 


6252 


IO 


5o 


10.630906 


1001 


io 9 6 


n 9 i 


1286 


i38i 


9 


5o 


10.666354 


6456 


6558 


6660 


6763 


6865 


9 


5i 


1476 


1571 


1666 


1761 


1867 


I 9 52 


8 


5! 


6067 


7 o 7 o 


7 I 7 2 


7 2 7 4 


7377 


7479 


8 


52 


2047 


2l42 


2237 


2332 


2428 


2523 


7 


52 


7 582 


7 684 


7787 


7 88 9 


7992 


8o 9 4 


7 


53 


2618 


27l3 


28o 9 


2 9 O4 


2 999 


3o 9 5 


6 


53 


8i 97 


82 99 


8402 


85o5 


8607 


8710 


6 


54 


3190 


3285 


338i 


3476 


35 7 2 


366 7 


5 


54 


88i3 


8 9 i6 


9 oi8 


9 I2I 


9 224 


9327 


5 


55 


3 7 63 


3858 


3 9 54 


4o4 9 


4i45 


4240 


4 


55 


9 43o 


9 53 2 


9 635 97 38 


9 84i 


99 44 


4 


56 


4336 


4432 


4527 


4623 


4718 


48i4 


3 


56 


io.6 7 oo4 7 


oi5o 


0253 o356 


o45 9 


o562 


3 


5? 


4910 


5oo6 


5ioi 


5i 9 7 


5293 


538 9 


2 


57 


0666 o 7 6 9 o8 7 2 o 97 5 


1078 


1181 


2 


58 


5485 


558o 


5676 


5 77 2 


5868 


5 9 54 


I 


58 


1285 i388 i4 9 i i5 9 5 


i6 9 8 


1801 


I 


5 9 


6060 


6i56 


6252 


6348 


6444 


654o 





59 


I 9 o5 2O08 2112 22l5 ! 23l8 2422 


o 




60" 


50" 


40" 


30" 


20" 


10" 


j 




60" 50" 40" 30" 20" 10" ^ 




Co-tangent of 13 Degrees. 


a 




Co-tangent of 12 Degrees. ii 


p p t 5 1" 2" 3" 4" 5" 6" 7" 8" 9" 


. ( 1" 2" 3" 4" 5" 6" 7" 8" 9" 


I 9 19 28 37 46 56 65 74 83 


lrl \ 10 20 30 40 50 60 70 80 90 



0-2 



LOGARITHMIC fc> i N m B . 



.g 


Sine of 78 Degrees. 






a Sine of 79 Degrees. 




s 


0" 10" ! 20" 30" i 40" 


50" 




<= 0" 10" 


20" 30" 


40" 


50" 







9 . 99 o4o4|o4o9 o4i3 o4i8 0422 


0427,59 


09.991947 1951 


1955 1959 


1963 


1967 


5 9 


I 

2 


o43 1 
o458 


o436 o44o o445 0449 O454, 58 
0462 0467 0471 0476 o48o 57 


2 


I 97 i|i 97 5 

1996 2OOO 


1979 i 9 83 
2004 2008 


1987 

2OI2 


1992 
2016 


58 
57 


3 


o485 


0489 0494 0498 o5o3 0507 


56 


3 


2O20 2024 


2028 


2032 


2036 


2040 


56 


4 


o5i i o5i6 o52o o525 0529 


o534 


55 


4 


2044 


2049 


2o53 


2057 


2061 


2o65 


55 


5 


o538 o543 o547 o552 o556jo56o 


54 


5 


2069 


20 7 3 


2077 


2081 


2o85 


2o8 9 


54 


6 


o565 


05690574 0578 o583 


o58 7 


53 


6 


2093 2O9 7 


2101 


2105 


2109 


2ii3 53 


7 


0591 


0596 0600 o6o5 0609 0614 


52 


7 


8Xl8 


2122 


2-126 


2i3o 


2i34 


2i38 


5 2 


8 


0618 


0622 0627 o63i o636 o64o 


5i 


8 


2 1 42 


2146 


2I 5o 


2i54 


2i58 


2162 


5i 


9 


o645 


0649 o653 o658 0662 


0667 


5o 


9 


2l66 


2170 


2I 7 4 


2178 


2182 


2186 


5o 


IO 


9.990671 


0675 o68o l o684o689 


0693 


49 


10 


9.992190 


2194 


2198 


2202 


2206 


2210 


49 


ii 


0697 


0702 0706 o 7 i ro 7 i5 


071948 


i: 


88X4 


22l8 


2222 


2226 


2230 


2234 


48 


12 


0724 


0728073307370741 


0746 


47 


12 


2239 


2243 


2247 


225l 


2255 


225 9 


47 


i3 


0750 


0755 0759^7630768 


0772 


46 


i3 


2263 


2267 


2271 


2275 


2279 


2283 


46 


i4 


0777 


0781 0785 0790 0794 


0798 


45 


i4 


228 7 


2291 


2295 


2299 


23o3 


2307 


45 


i5 


o8o3 


08070812 08160820 


0825 


44 


i5 


23ll 


23i5 


2319 


2323 


2327 


233i 


44 


16 


0829 


o833 o838 0842 


o84 7 


o85i 


43 


16 


2335 


233 9 


2343 


2347 


235i 


2355 


43 


17 


o855 


08600864 0868 


08 7 3 


o8" 77 


42 


17 


2 35 9 


2363 


2366 


2370 


23 7 4 


2 3 7 8 


42 


18 


0882 


088608900895 


0899 


0903 


4i 


18 


2382 


2386 


2390 


23 9 4 


2398 


2402 


4i 


19 


0908 


0912 0916 0921 


0926 


0929 


4o 


19 


2406 


2410 


24i4 


2418 


2422 


2426 


4o 


20 


9.990934 


0938 0942 0947 


o 9 5i 


0955 


39 


20 


9.992430 


^434 


2438 


2442 


2446 


2 45o 


3 9 


21 


0960 


0964 0969 0973 


977 


0982 


38 


21 


2454 


2458 


2462 


2466 


2470 


2474 


38 


22 


0986 


09900995 


0999 


ioo3 


1008 


37 


22 


2478 


2482 


2485 


2489 


2493 


2497 


37 


23 


1012 


1016 1021 


IO25 


1029 


io33 


36 


23 


25oi 


25o5 


2509 


25i3 


2517 


252i 36 


24 


io38 


1042 io46 


io5i 


io55 


io5g 


35 


24 


2525 


2529 


2533 


253 7 


254i 


2545 


35 


25 


1064 


1068 1072 


1077 


1081 


io85 


34 


25 


2549 


2553 


2556 


2 56o 


2564 


2568 


34 


26 


1090 


1094 1098 


no3 


1 107 


III! 


33 


26 


2572 


25 7 6 


258o 


2584 


2588 


2592 


33 


2 7 


iiiS 


I 120 I 124 


1128 


n33 


n3 7 


32 


27 


2596 


2600 


2604 


2607 


261 1 


2 6i5 


32 


28 


ii4i 


n46 i i5o 


n54 


n58 


n63 


3i 


28 


2619 


2623 


2627 


263i 


2635 


263 9 


3i 


29 


1167 


1171 1176 


1180 


1184 


1x88 


3o 


29 


2643 2647 265 1 


2654 


2658 


2662 


3o 


3o 


9.991193 


I 197 1201 


1206 


1210 


18X4 


29 


3o 


9.992666 2670)2674 


2678 


2682 


2686 


20 


3i 


1218 


1223 1227 


I23l 


1235 


1240 


28 


3i 


2690 


2693 2697 


2701 


2705 


2709 


28 


32 


1244 


1248 1253 


1257 


1261 


1265 


2 7 


32 


2 ? l3 


2717 


2721 


2725 


2728 


2732 


2 7 


33 


1270 


1274 1278 


1282 


1287 


1291 


26 


33 


2736 


274^ 


2744 


2748 


2 7 52 


2 7 56 


26 


34 


1295 


1299 i3o4 


i3o8 


i3 I2 


i3i6 


25 


34 


2 7 5 9 


2 7 63 


2767 


2 77 I 


2 77 5 


2779 


25 


35 


1321 


i325 1329 


i333 


i338 


1 342 


24 


35 


2 7 83 


2787 


2790 


2 79 4 


2 79 8 


2802 


24 


36 


1 346 


i35oi355 


i35 9 


i363 


i36 7 


23 


36 


2806 


2810 


2814 


28l8 


2821 


2825 


23 


3 7 i3 7 2 


1376 i38o 


1 384 


i38 9 


i3 9 3 


22 


37 


2829 


2833 


283 7 


2841 


2845 


2848 


22 


38 i3 97 


i4oi i4o6 


i4io 


i4i4 


i4i8 


21 


38 


2852 


2*56 


2860 


2864 


2868 


2871 


21 


3 9 


1422 


1427 i43i 


i435 


i43 9 


1 444 


2O 


39 


2875 


2879 


2883 


2 88 7 


2891 


2895 


20 


4o 


9.991448 


1452 i456 


i46o 


i465 


1469 


19 


4o 


9.992898 


2902 


2906 


2910 


2914 


2918 


I 9 


4i 


i4?3 


1477 1482 


i486 


1490 


1494 


18 


4i 


2921 


2925 


2929 


2 9 33 


2 9 3 7 


2941 


18 


42 


1498 


i5o3 1507 


i5n 


i5i5 


iSig 


'7 


42 


2944 


8948 


29* 


2 9 56 


2960 


2963 


i 7 


43 


i5 2 4 


i5 2 8 i532 


i536 


i54o 


1 545 


16 


43 


2967 


2971 


2975 


2979 


2 9 83 


2986 


16 


44 


1 549 


i553 i557 


i56i 


i566 


i5 7 o 


i5 


44 


2990 


2994 


2998 


3002 


3oo5 


Soog 


i5 


45 


i5 7 4 


i5 7 8i58 2 


i586 


1591 


i5g5 


i4 


45 


3oi3 


3017 


3O2I 


3o24 


3028 


3o32 


i4 


46 


i5 99 


i6o3 1607 


1612 


1616 


1620 


i3 


46 


3o36 


3o4o 


3o43 


3o4 7 


3o5i 


3o55 


i3 


47 


1624 


1628 i632 


i63 7 


i64i 


1 645 


12 


47 


SoSg 


3o62 


3o66 


3070 


3o 7 4 


3o 7 8 


12 


48 


i64 9 


i653i65 7 


1662 


1666 


i6 7 o 


II 


48 


3o8i 


3o85 


3089 


3o 9 3 


3o 97 


3ioo 


II 


49 


1674 


1678 1682 


1687 


1691 


i6 9 5 


IO 


49 


3io4 


3io8 


3lI2 


3n5 


3119 


3i23 


IO 


5o 


9.991699 


1703 1707 


1712 


1716 


I 7 20 


9 


5o 


9.993127 


3i3i 


3i34 


3i38 


3i42 


3i46 


9 


5i 


1724 


1728 1732 


1736 


1741 


i 7 45 


8 


5i 


3i4 9 


3i53 


3i57 


3i6i 


3i65 


3i68 


8 


52 


1749 


1753x757 


1761 


i 7 65 


I 77 o 


7 


52 


3172 


3i 7 6 


3i8o 


3i83 


3i8 7 


3191 


7 


53 


1774 


1778 1782 


1786 i 79 o 


i 7 g4 


6 


53 


SigSjSigS 


3202 


3206 


3210 


32i3 


6 


54 


1799 


1803.1807 


1811 1816 


1819 


5. 


54 


3217 3221 3225 3228 


3232 


3236 


5 


55 


i8 2 3 


1827 i832 


i836 i84o 


1 844 


4 


55 324o3s>43 324 7 325i 


3 2 553 2 58 


4 


56 


1 848 


i85ax856 


1860 i865 


1869 


3 


56 


3262:3266 3270 3273 32 7 7'328i 


3 


5 7 


i8 7 3 


18771881 


i885 


1889 


i8 9 3 


2 


57 


3284 3288 3292 3296^299 33o3 


2 


58 


1897 


1901 1906 


i 9 io i 9 i4 


1918 


I 


58 


33o 7 33n 33x433x83389 3325 


I 


5 9 


1922 


1926 1930 


i 9 34 1938 


1942 


O 


5 9 


332 9 3333 333 7 334o'3344 3348 o 




60" 50" |^40" 30" j 20" 


10" 


A 




60" 50" 40" 30" ; SO" 10" . 




Co-sine of 1 1 Degrees. 









Co-sine of 10 Degrees. ?* 


P Part* l " 2 " 3 " 4// 5 " 6 " 7// 


8" 9" | .(1" 2" 3" 4" 5" 6" 7" 8" 9" 


iTl i 1 1 2 2 3 3 


34 '"} 11222334 



LOGARITHMIC TANGENTS. 



103 



1 


Tangent of 78 Degrees. 




.5 


Tangent of 79 Degrees. 




g 


0" 


10" 


20" 


30" 


40" 


50" 




% 


0" 


10" 


20" 


30" 


40" 


50" 




o 


10.672525 


262 9 


2 7 33 


2836 


2940 


3o43 


5 9 


o 


10.711348 


i46o 


i5 7 3 


i685 


I 79 8 


1910 


5 9 


I 


3i4? 


325i 


3354 


3458 


3562 


3666 


58 


i 


2023 


2i35 


2248 


236i 


2473 


2586 


58 


2 


3 7 6 9 


3873 


3 977 


4o8i 


4i85 


428 9 


57 


2 


26 99 


2811 


2 9 24 


3o37 


3i5o 


3263 


57 


3 


43 9 3 


44 9 7 


46oi 


47o5 


48o 9 


4 9 :3 


56 


3 


33 7 6 


3488 


36oi 


37i4 


382 7 


3940 


56 


4 


5017 


5l2I 


5225 


5329 


5433 


553 7 


55 


4 


4o53 


4i6 7 


4280 


43 9 3 


45o6 


46i 9 


55 


5 


5642 


5 7 46 


585o 


5 9 54 


6059 


6i63 


54 


5 


4732 


4846 


4 9 5 9 


5072 


5i85 


52 99 


54 


6 


6267 


63 7 2 


6476 


658o 


6685 


6 7 8 9 


53 


6 


54i2 


5526 


563 9 


5 7 5 2 


5866 


5 979 


53 


7 


68 9 4 


6 99 8 


7io3 


7207 


73i2 


7417 


52 


7 


6093 


62O 7 


6320 


6434 


654 7 


6661 


52 


8 


7521 


7626 


77 3i 


7835 


794o 


8o45 


5i 


8 


6 77 5 


6889 


7002 


7116 


723o 


7344 


5i 


9 


8149 


8254 


835 9 


8464 


856 9 


86 7 4 


5o 


9 


7458 


7 5 7 2 


7686 


7799 


79 i3 


8027 


5o 


10 


8778 


8883 


8988 


9 o 9 3 


9198 


9 3o3 


49 


10 


8142 


8 2 56 


83 7 o 


8484 


85 9 8 


8712 


49 


ii 


9 4o8 


9 5i3 


9618 


97 23 


9829 


99 34 


48 


1 1 


8826 


8 9 4i 


9 o55 


9 l6 9 


9283 


9 3 9 8 


48 


12 


10 680039 


oi44 


0249 


o355 


o46o 


o565 


47 


12 


9512 


962-7 


974i 


9 856 


997 


..85 


47 


i3 


0670 


0776 


0881 


0987 


1092 


ii 9 7 


46 


i3 


10.720199 


o3i4 


0428 


o543 


o658 


0772 


46 


i4 


i3o3 1408 


i5i4 


1619 


1725 


i83o 


45 


i4 


0887 


1 002 


1116 


I23l 


1 346 


i46i 


45 


i5 


1936 


2042 


2147 


2253 


2359 


2464 


44 


1 5 


1576 


1691 


1806 


1921 


2036 


2l5l 


44 


16 


2570 


2676 


2782 


2887 


2993 


3o 99 


43 


16 


2266 


2 38i 


24 9 6 


2611 


2 7 26 


2841 


43 


!? 


32o5 


33n 


34i7 


3523 


362 9 


3735 


42 


*7 


2 9 5 7 


3o 7 2 


3i8 7 


3302 


34i8 


3533 


42 


18 


384i 


3 9 4 7 


4o53 


4i5 9 


4265 


4371 


4i 


18 


364 9 


3 7 64 


3879 


3 99 5 


4uo 


4226 


4i 


J 9 


4477 


4584 


4690 


4796 


4902 


5oo 9 


4o 


*9 


4342 


445 7 


4573 


4688 


48o4 


4 9 20 


4o 


20 


5n5 


5221 


53 2 8 


5434 


554o 


5647 


3 9 


20 


5o36 


5i5i 


5267 


5383 


5499 


56i5 


3 9 


21 


5 7 53 


586o 


5966 


6073 


6179 


6286 


38 


21 


5731 


5847 


5 9 63 


6o7 9 


6195 


63ii 


38 


22 


63 9 2 


64 99 


6606 


6712 


6819 


6 9 26 


3? 


22 


6427 


6543 


665 9 


6775 


6891 


7008 


37 


23 


7032 


7 i3 9 


7246 


7353 


7460 


7 56 7 


36 


23 


7124 


7240 


7 356 


7 4 7 3 


7 58 9 


7706 


36 


24 


7 6 7 3 


7780 


7887 


7994 


8101 


8208 


35 


24 


7822 


7938 


8o55 


8i 7 i 


8288 


84o5 


35 


25 


83i5 


8422 


852 9 


8636 


8744 


885i 


34 


25 


852i 


8638 


8 7 54 


88 7 i 


8988 


9 io5 


34 


26 


8 9 58 


9 o65 


9172 


9280 


9 38 7 


9 4 9 4 


33 


26 


9221 


9 338 


9 455 


9 5 7 2 


9689 


9 8o6 


33 


27 


9601 


979 


9816 


9924 


..3i 


.i38 


32 


27 


9923 


..4o 


.i5 7 


.274 


.3 9 i 


.5o8 


32 


28 


10.690246 


o353 


o46i 


o568 


0676 


0784 


3i 


28 


io. 7 3o625 


0742 


0860 


977 


1094 


I2II 


3i 


29 


0891 


999 


1107 


I2l4 


1322 


i43o 


3o 


29 


1329 


1 446 


i563 


1681 


1-798 


I 9 i6 


3o 


3o 


i53 7 


1 645 


i 7 53 


1861 


i 9 6 9 


2077 


2 9 


3o 


2 o33 


2l5l 


2268 


2386 


25o3 


2621 


29 


3i 


2184 


22 9 2 


2400 


25o8 


2616 


2724 


28 


3i 


2 7 3 9 


2856 


2 9 74 


3o 9 2 


32IO 


3327 


28 


32 


2832 


2 9 4i 


3o49 


3i5 7 


3265 


33 7 3 


27 


32 


3445 


3563 


368i 


3799 


3 9 i 7 


4o35 


27 


33 


3481 


35 9 o 


3698 


38o6 


3 9 i4 


4023 


26 


33 


4i53 


4271 


438 9 


45o 7 


4625 


4?44 


26 


34 


4i3i 


423 9 


4348 


4456 


4565 


46 7 3 


25 


34 


4862 


4980 


5o 9 8 


52i 7 


5335 


5453 


25 


35 


4782 


48 9 o 


4999 


5107 


52i6 


53 2 5 


24 


35 


55 7 2 


5690 


58o 9 


5 9 27 


6o46 


6:64 


24 


36 


5433 


5542 


565i 


5 7 5 9 


5868 


5 9 77 


23 


36 


6283 


64oi 


6520 


663 9 


6 7 5 7 


6876 


23 


3? 


6086 


6i 9 5 


63o3 


6412 


652i 


663o 


22 


37 


6 99 5 


7ii3 


7232 


7 35! 


7470 


7 58 9 


22 


38 


6739 


6848 


6957 


7066 


7175 


7284 


21 


38 


77 o8 


7827 


7946 


8o65 


8i84 


83o3 


21 


3 9 


7 3 9 3 


7 5o3 


7612 


7721 


7 83o 


79 3 9 


20 


3 9 


. 8422 


854i 


8660 


8 7 8o 


8899 


9018 


2O 


4o 


8049 


8i58 


8267 


83?6 


8486 


85 9 5 


I 9 


4o 


9 i3 7 


9257 


9 3 7 6 


9496 


9615 


97 34 


'9 


4i 


8705 


88i4 


8924 


9 o33 


9 i43 


9252 


18 


4i 


9 854 


997 3 


.. 9 3 


.213 


.332 


.452 


18 


42 


9 362 


9 4?i 


9 58i 


9691 


9 8oo 


99 io 


r 7 


42 


io. 7 4o5 7 i 


0691 


0811 


o 9 3i 


io5o 


1170 


17 


43 


10.700020 


OI2 9 


O23 9 


o34g 


o45 9 


o56 9 


16 


43 


1290 


i4io 


i53o 


i65o 


1770 


1890 


16 


44 


0678 


0788 


o8 9 8 


1008 


1118 


1228 


i5 


44 


2OIO 


2i3o 


225o 


23 7 


2490 


2611 


i5 


45 


i338 


1 448 


i558 


1668 


1779 


i88 9 


i4 


45 


2 7 3l 


2 85i 


2 97 I 


3o 9 2 


3212 


3332 


i4 


46 


1999 


2I0 9 


22I 9 


2 33o 


244o 


2 55o 


i3 


46 


3453 


35 7 3 


36 9 4 


38i4 


3 9 35 


4o55 


i3 


4? 


2661 


2771 


288l 


2992 


3l02 


32i3 


12 


47 


4176 


4297 


4417 


4538 


465 9 


4779 


13 


48 


3323 


3434 


3544 


3655 


3 7 65 


3876 


II 


48 


4900 


5O2I 


5i42 


5263 


5384 


55o5 


II 


49 


3 9 8 7 


4o 9 7 


4208 


43i9 


4429 


454o 


10 


49 


5626 


5 7 4 7 


5868 


5 9 8 9 


6110 


623i 


IO 


5o 


465i 


4762 


48 7 3 


4984 


5o 9 5 


52o5 


9 


5o 


6352 


64?3 


65 9 5' 


6 7 i6 


6837 


6 9 5 9 


9 


5i 


53i6 


5427 


5538 


5649 


5761 


5872 


8 


5i 


7080 


7201 


7 3 2 3 


7444 


7 566 


7687 


8 


52 


5g83 


6o 9 4 


62o5 


63i6 


6428 


653 9 


7 


52 


7809 


79 3o 


8o52 


8174 


82 9 5 


8417 


7 


53 


665o 


6761 


68 7 3 


6 9 84 


79 5 


7207 


6 


53 


853 9 


8661 


8782 


8 9 o4 


9026 


9 i48 


6 


54 


7 3i8 


?43o 


754i 


7653 


7764 


7876 


5 


54 


9270 


9 3 9 2 


9 5i4 


9 636 


9758 


9880 


5 


55 


7987 


8o 99 


8211 


8322 


8434 


8546 


4 


55 


io. 7 5ooo2 


0124 


0247 


o36 9 


0491 


o6i3 


4 


56 


8658 


8 7 6 9 


8881 


8 99 3 


9 io5 


9 2I 7 


3 


56 


o 7 36 


o858 


o 9 8o 


uo3 


1225 


1 348 


3 


5 7 


9 3 29 


9 44i 


9 553 


9665 


9777 


9 88 9 


2 


$7 


1470 


i5 9 3 


1715 


i838 


1961 


2o83 


2 


58 


10.710001 


on3 


0225 


o337 


0449 


o562 


I 


58 


2206 


232 9 


2452 


25 7 4 


2 697 


2820 


I 


l ( l 


0674 


0786 


o8 9 8 


IOII 


1123 


1235 





5 9 


2943 


3o66 


3i8 9 


33i2 


3435 


3558 


O 




60" 


50" 


40" 


30" 


20" 


10" 


d 




60" 


50" 


40" 


30" 


20" | 10" 


. 




Co-tangent of 1 1 Degrees. 


.3 

s 




Co-tangent of 10 Degrees. 


3 


p p* t$ 1" 2// 3 " 4 " 5 " 6// 7" 8'' 9" 


. ( 1" 2" 3" 4" 5" 6" 7" 8" 9" 


irt } 11 22 32 43 54 65 75 86 97 


in \ 12 23 35 47 59 70 82 94 106 



104 



LOGARITHMIC SINES. 



1 


Sine of 80 Degrees. 




a 


Sine of 6 1 Degrees. 




M 


0" 


10" 


20" 


30" 


40" 


50" 




* 


0" 10" 3) ' 30" 


50" 




o 


9.993351 


3355 


335 9 


3363 


3366 


3370 


5 9 





9 . 99 462o 4623 462 7 463o 4633 


463 7 


5 9 


i 


33 7 4 


33 77 


338i 


3385 


338 9 


33 9 2 


58 


I 


464o : 4643464 7 465o4653 


465 7 


58 


2 

3 


33 9 6 
34i8 


34oo 
3422 


34o3 
3426 


34o 7 
3429 


34n 
3433 


34i4 
343 7 


56 


2 

3 


466o!4663 466 7 46 7 o ! 46 7 3 
468o|4683 4686 46904693 


46 7 6 
46 9 6 


57 
56 


4 


344o 


3444 


3448 


345 1 


3455 


345 9 


55 


4 


4 7 oo 4 7 o3 4 7 o6 4 7 io 4 7 i3 


4 7 i6 


55 


5 


3462 


3466 


3470 


34 7 3 


34 77 


348i 


54 


5 


4 7 20 4 7 23 4 7 26 4 7 2 9 


4 7 33 


4 7 36 


54 


6 


3484 


3488 


34 9 2 


3495 


34 99 


35o3 


53 


6 


4 7 3 9 4 7 43 4 7 46 4 7 4g 4 7 52 


4 7 56 


53 


7 


35o6 


35io 


35i4 


35i 7 


352i 


35 2 5 


52 


7 


4 7 5 9 ! 4 7 62 


4766 


476 9 4 77 2 


4 77 6 


52 


8 


3528 


3532 


3536 


353 9 


3543 


354 7 


5i 


8 


4 77 u 4 7 S- 


4 7 85 




4 79 5 


5i 


9 


355o 


3554 


3558 


356i 


3565 


356 9 


5o 


9 


4 79 8 4802 


48o5 


48o8 


48i2 


48i5 


5o 


10 


9 . 99 35 7 2 


35 7 6 


358o 


3583 


358 7 


35 9 i 


49 


10 


9 . 99 48i8 


4821 


4825 


4828483i 


4834 


4y 


ii 


35 9 4 


35 9 8 


36oi 


36o5 


36o 9 


36i2 


48 


ii 


4838 


484 1 


4844 


4848485i 


4854 


48 


12 


36i6 


3620 


36233627 


363i 


3634 


47 


12 


485 7 


486i 


4864 


486 7 


48 7 o 


48 7 4 


47 


i3 


3638 


364i 


3645 


364 9 


3652 


3656 


46 


i3 48 77 


488o 


4883 


488-714890 


48 9 3 


46 


i4 


366o 


3663 


3667 


36 7 o 


36 7 4 36 7 8 


45 


i4 


48 9 6 


4 9 oo 


4 9 o3 


4 9 o(i 4909 


4 9 i3 


45 


i5 


368i 


3685 


368 9 


36 9 2l36 9 6 


36 99 


44 


i5 


4 9 -6 


49 T 9 


4922 


4920 4 9 2 9 


4 9 3s 


44 


16 


3 7 o3 


3 7 o 7 


37103714 


3 7 i 7 


3721 


43 


16 


4 9 35 


4938 


4 9 42 


49454948 


4 9 5i|43 


17 


3 7 25 


3728 


3 7 32 


3 7 35 


3 7 3 9 


3743 


42 


'7 


4 9 55 


4958 


4 9 6i 


4 9 64 


4 9 68 


497 1 


4s 


1 8 


3746 


3 7 5o 


3 7 53 


3 7 5 7 


3 7 6i 


3 7 64 


4i 


18 


4 97 4 


4977 


4 9 8o 


4984 


4 9 8 7 


4990 


4i 


19 


3 7 68 


3 77 i 


3 77 5 


3779 


3 7 82 


3 7 86 


4o 


i 9 


4 99 3 


4997 


5ooo 


5oo3 


5oo6 


5oo 9 


4c 


20 9.993 7 8 9 


3 79 3 


3 79 7 


38oo 


38o4 


38o 7 


39 


20 


9 . 99 5oi3 


5oi6 


5oi 9 


5022 


5o25 


5o2 9 


3 9 


21 


38n 


38i4 


38i8 


3822 


3825 


382 9 


38 


21 


5o32 


5o35 


5o38 


5o4i 


5o45 


5o48 


38 


22 


3832 


3836 


384o 


3843 


384 7 


385o 


37 


22 


5o5i 


5o54 


5o5 7 


5o6i 


5o64 


5o6 7 


3? 


23 


3854 


385 7 


386i 


3864 


3868 


38 7 2 


36 


23 


5o 7 o 


5o 7 3 


5o 77 


5o8o 


5o83 


5o86 


36 


24 


38 7 5 


38 79 


3882 


3886 


388 9 


38 9 3 


35 


24 


5o8 9 


5o 9 2 


5o 9 6 


5o 99 


5 1 02 


5io5 


35 


25 


38 97 


3 9 oo 


3 9 o4 


3 9 o 7 


3 9 u 


3 9 i4 


34 


25 


5ioS 


5l 12 


5ir5 


5 u 8 


5l2I 


5i24 


34 


26 


3918 


3 9 2i 


3 9 25 


3 9 28 


3 9 32 


3 9 36 


33 


26 


5l2 7 


5i3i 


5i345i3 7 




5i43 


33 


27 


3 9 3 9 


3 9 43 


3 9 46 


3c;5o 


3 9 53 


3 9 5 7 


32- 


27 


5i46 


5i5o 


5i535i56 


5i5 9 


5i62 


32 


28 


3960 


3 9 64 


3 9 6 7 


3 97 i 


3 97 4 


3978 


3i 


28 


5i65 


5i6 9 


") i - .j 


5i 7 5 


5i 7 8 


5i8i 


3i 


29 


3982 


3 9 85 


3989 3992 


3 99 6 


3 999 


3o 


2 9 


5i84 


5i88 


5i 9 i 


5i 9 4 


5i 97 


520O 


3o 


3o 


9.994003 


4oo6 


4oio 4oi3 


4oi 7 


4020 


2 9 


3o 


9 . 99 52o3 


5 2 o6 




5ai3 


5ai6 


52I 9 


2 9 


3i 


4024 


4027 


4o3i 


4o34 


4o38 


4o4i 


28 


3i 


5222 


5225 


5228 


5232 


5235 


5238 


28 


32 


4o45 


4o48 


4o5 2 


4o55 


4o5 9 


4062 


2 7 


32 


524i 


5-244 


524 7 


5 2 5o5 2 53 


5 2 5 7 


2 7 


33 


4o66 


4o6 9 


4o 7 3 4076 


4o8o 


4o83 


26 


33 


5 2 6o 


5 2 63 


5266 


526 9 |52 7 2 


52 7 5 


26 


34 


4o8 7 


4o 9 o 


4094 4097 


4ioi 


4io4 


25 


34 


52 7 8 


5282 5285 


5 2 88|52 9 i 


52 9 4 


25 


35 
36 
37 


4io8 
4129 
4i5o 


4m 

4l32 

4i53 


4i364i39 
4i5 7 4i6o 


4l22 

4i43 
4i64 


4i25 
4i46 
4i6 7 


24 
23 
22 


35 
36 
37 


52 97 
53i6 
5334 


53oo 
53i 9 
5338 


53o3 

5322 

534i 


53o 7 
5325 
5344 


53ro 
5328 
534 7 


53i3 
533i 
535o 


24 
23 
22 


38 4i 7 i 


4174 


4i 7 84i8i 


4i844i88 


2 I 


38 


5353 


5356 


535 9 


5362 


5365 


536 9 


21 


3 9 4i 9 i 


4i 9 5 


4198 4202 


42o5 


420 9 


20 


39 


53 7 2 


53 7 5|53 7 8 


538i 


5384 


538 7 


20 


4o 
4i 

42 


9.994212 
4233 
4254 


4216 
4236 
425 7 


4219 4223 
42404243 
42614264 


42264230 
42474250 
42674271 


'9 

18 

17 


4o 
4i 

42 


9 . 99 53 9 o 
54o 9 

542 7 


5393 

54i2 
543o 


53 9 6 
54i5 
5433 


53 99 54<>3 
543 9 


54o6 
5424 
5442 


1 9 

1 8 


43 


4274 


4278 


4281 


4285 


4a88 42 9 2 


16 


43 


5446 


544 9 


5452 5455 5458 


546 1 


16 


44 
45 


42 9 5 
43i6 


42 9 8 
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43o2 43o5 
43224326 


43o 9 ;43i2 
432 9 4333 


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5464 546 7 
5482 5485 


54 7 oi54 7 3<54 7 6i54 7 9 
">4 9 i 54 9 4 54 9 7 


i5 

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46 


4336 


434o 


4343 


4346435o 


4353 


i3 


46 


55oi 


55o455o 7 55io55i3|55i6 


i3 


4 7 


435 7 


436o 


4363 


436 7 !43 7 o 


43 7 4 


12 


47 


55i 9 5522 5525 


5528553i|5534 


12 


48 


43 77 


438i 


4384 


43S 7 


43 9 i 


43 9 4 


I I 


48 


553 7 


554o 


5543 


5546 5549 555a 


I I 


49 


43 9 8 


44oi 


44o4 


44o844n 


44i5 


10 


49 


*555 


5558556i 


5564556 7 :55 7 oio 


5o 9 . 9 g44i8 


4421 


44254428:44324435 


9 


5o 


9 . 99 55 7 3 55 7 6 55 79 


5582 55855588 


9 


5! 


4438 


4442 


4445 


4448:4452 4455 


8 


5 1 


55 9 i 


55 9 4 55 97 56oi 56o4 56o 7 


8 


52 


445 9 


4462 


4465 


4469 44 7 2 44 7 6 


7 


52 


56io 56i3 56i6 56i 9 56 22 5625 


7 


53 


447 9 


4482 


4486'448 9 i44 9 2!4496 


6 


53 


56285631,5634 


563 7 ,564o5643 


6 


54 


44 99 


45o3 


45o6 


45o 9 :45i345i6 


5 


54 


5646 564 9 5o52 


56555658 


566i 


5 


55 


45i 9 


45 2 3 


45 2 6 


453o4533 4536 


4 


55 


5664566 7 56 7 o56 7 2 56 7 5 


56 7 8 


4 


56 


454o 


4543 


4546 


455o 


4553 


4556 


3 


56 


568i 5684568 7 56 9 o56 9 3 


56 9 6 


3 


57 


456o 


4563 


4566 


45 7 o 


45 7 3 


45 7 6 


2 


57 


56 99 5 7 02 5 7 o5 5 7 o8 5 7 n 


5 7 i4 


2 


58 


458o 


4583 


458 7 


45 9 o 


45 9 3 


45 97 


I 


58 


5 7 i 7 5 7 2o 5 7 23|5 7 26 5 7 2 9 


5 7 3 2 


I 


5 9 


46oo 


46o3 


46o 7 


4610 46i3 


46i 7 





5 9 


5 7 35 5 7 33 5 7 4i 5 7 44 5 7 4 7 5 7 5o 







60" 


50" 


40" 


30" 20" 


10" 


S3 




60" .50" 40" 30" 20" 10" 


. 




Co-sine of 9 Degrees. 







Co-sine of 8 Degrees. 


m 




5" 6" 7" 8" 9" 


p p A 1" 2" 3" 4" 5" 6" 7" 8" y ' 


P.PartJ Q l l l 


22233 


in \ 1 1 1 2 2 2 3 3 



LOGARITHMIC TANGENTS. 



105 



.5 


Tangent of 80 Degrees. 




d 


Tangent of 81 Degrees. 


2 


0" 


10" 


20" 


30" 


40" | 50" 




* 


0" 10" | 20" 


30" 1 40" i 50" j 


o 


10- a5368i 


38o4 


3 9 28 


4o5i 


4l74l42 9 7 


r 





10.800287 


0424 


o56o 


o6 9 6 


08330969)59 


i 


442i 


4544 


4667 


4791 


4 9 i4l5o38 


58 


i 


Ilo6 


1242 


i3 79 


i5i6 


i652 1789^8 


2 


5i6i 


5285 


5408 


5532 


5655 5 779 


57 


2 


I 9 26 


2062 


2199 


2336 


2473 2610 5 7 


o 


5 9 o3 


6026 


6i5o 


6274 


63 9 8 6522 


56 


3 


2747 


2884 


3021 


3i58 


32 9 5|3433 


56 


4 


6646 


6770 


68 9 4 


7018 


7142 7266 


55 


4 


35 7 o 


3 7 o 7 


3844 


3 9 8 2 


4i 19 4257 


55 


5 


7 3 9 o 


75i4 


7 638 


7762 


78868011 


54 


5 


43 9 4 


45J2 


4669 


48o 7 


4944 5o82 


54 


6 


8i35 


825 9 


8384 


85o8 


8633 8 7 5 7 


53 


6 


5220 


5358i54 9 5 


5633 


5771 590953 


7 


8682 


9 oo6 


9 i3i 


9 255 


9 38o 9 5o5 


52 


7 


6047 


6i85 


6323 


646 1 


65 99 6738|52 


8 


9 62 9 


97 54 


9 8 79 


...4 


.128 .253 


5i 


8 


6876 


7 oi4 


7 l52 


7 2 9 i 


7429756851 


9 


io. 7 6o3 7 8 


o5o3 


0628 


o 7 53 


0878 ioo3 


5o 


9 


7706 


7845 


7983 


8122 


8261,8399 5o 


10 

ii 


1128 

1880 


1253 
2oo5 


i3 79 
2i3o 


i5o4 

2256 


238i 2507 


49 

48 


10 

II 


8538 
9 3 7 i 


86 77 
95io 


8816 
9649 


8 9 54 9 o 9 3 9 232 
9 788 99 28 ..67 


49 
48 


12 

i3 


2532 

3386 


2 7 58 
35i2 


2883 
3638 


3009 
3 7 63 


3i35!3 2 6o 
388 9 4oi5 


47 
46 


12 

1 3 


10.810206 

1042 


o345 
1182 


o485 

l322 


0624 
i46i 


0^04. ooo3 
1601 i 7 4i 


47 
46 


i4 


4i4i 


4267 


43 9 3 


45i 9 


46454771 


45 


i4 


1880 


2O20 


2l6o 


23oo 


244o 258o 


45 


i5 


48 97 


6024 


5i5o 


5276 


5402 552 9 


44 


i5 


2720 


2860 


3ooo 


3i4o 


32803421 


44 


16 


5655 


5781 


5 9 o8 


6o34 


6161 6287 


43 


16 


356i 


3701 


3842 


3 9 8 2 


4122 4263 


43 


17 


64i4 


654o 


6667 


6 79 4 


6 9 2o 7047 


42 


1 7 


44o3 


4544 


4685 


4825 


4966 5io 7 


42 


18 


7 i 7 4 


73oi 


7427 


7554 


7681 7808 


4i 


18 


5248 


5388 


5529 


5670 


58n 5 9 52 


4i 


i 9 


79 35 


8062 


8i8 9 


83i6 


8443 8570 


4o 


r 9 


6o 9 3 


6234 


63 7 5 


65i 7 


66586 799 


4o 


20 


86 9 8 


88 2 5 


8 9 5 2 


979 


9 20 79 334 


39 


20 


6 9 4i 


7082 


7223 


7365 


7 5o6 7 648 


3 9 


21 


- 9 46i 


9 58 9 


97 i6 


9 844 


997 1 --99 


38 


21 


7789 


79 3! 


8o 7 3 


8214 


8356'8498 


38 


22 


IO. 77 O22 7 


o354 


0482 


0610 


07370865 


3 7 


22 


864o 


8 7 82 


8924 


9 o66 


9208 gSSo 


37 


23 


o 99 3 


II2I 


I24 9 


i3 77 


i5o4 :632 


36 


23 


9 4 9 2 


9 634 


9776 


99 i8 


. .61 .2o3 


36 


24 


1761 


i88 9 


2OI 7 


2i45 


2273 2401 


35 


24 


10.820345 


o488 


o63o 


o 77 3 


0915 io58 


35 


25 


252 9 


2 658 


2 7 86 


2 9 l4 


3o43J3i 7 i 


34 


25 


I2OI 


1 343 


i486 


i62 9 


I 77 2 igiS 


34 


26 


33oo 


3428 


355 7 


3685 


38i4 3 9 42 


33 


26 


2o58 


22OO 


2344 


2487 


263o2 77 3 


33 


27 


4o 7 i 


4200 


432 9 


445 7 


458647i5 


32 


27 


2 9 i6 


3o5 9 


32o3 


3346 


348^3633 


32 


28 


4844 


4 97 3 


5lO2 


523i 


536o 548 9 


3i 


28 


3 77 6 


3920 


4o63 


4207 


435o!4494 


3i 


29 


56i8 


5747 


58 7 6 


6006 


6i35 6264 


3o 


29 


4638 


4782 


4925 


5o6 9 


52i3535 7 


3o 


3o 


63 9 3 


6523 


6652 


6782 


6 9 n 7041 


29 


3o 


55oi 


5645 


5 7 8 9 


5 9 33 


6o 7 8 6222 


29 


3i 


7 i 7 o 


73oo 


7 42 9 


7 55 9 


7 68 9 7818 


28 


3i 


6366 


65xi 


6655 


6 799 


69447088 


28 


32 


7948 


8078 


8208 


8338 


8468 85 9 8 


27 


32 


7 233 


7 3 77 


7522 


7667 


7 8i2l 79 56j2 7 


33 


8728 


8858 


8 9 88 


9118 


9 248 9 3 7 8 


26 


33 


8101 


8246 


8391 


8536 


8681 8826 


26 


34 


9 5o8 


9 63 9 


97 6 9 


9 8 99 


. .2 9 .160 


25 


34 


8971 


9116 


9261 


9407 


9 552 9 6 9 7 


25 


35 


10. 7802(20 


0421 


o55i 


0682 


0812 o 9 43 


24 


35 


9 843 


9988 


.i34 


.2 79 


.425 .5 7 o 


24 


36 


1074 


1204 


i335 


i466 


i5 9 7 1727 


23 


36 


10.830716 


0862 


1008 


n53 


i2 99 i445 


23 


37 


i858 


i 9 b 9 


2 I 2O 


225l 


2382 25i3 


22 


37 


!5 9 I 


i 7 3 7 


i883 


2029 


2175 2322 


22 


38 


2644 


2775 


2 9 7 


3o38 


3i6 9 33oo 


21 


38 


2468 


2614 


2760 


2 9 7 


3o53 3200 


21 


39 


3432 


3563 


36 9 5 


3826 


3 9 57 4o8 9 


20 


3 9 


3346 


3493 


363 9 


3 7 86 


3 9 33'4o8o 


20 


4o 


4220 


4352 


4484 


46i5 


4747'487 9 


T 9 


4o 


4226 


43 7 3 


4520 


466 7 


48i4 4 9 6i 


I 9 


4i 


Son 


5i42 


5 27 4 


54o6 


5538 5670 


18 


4i 


5i68 


5255 


54o2 


555o 


56 9 7 5844 


18 


42 


58o2 


5 9 34 


6066 


6i 9 8 


633o6463 


l l 


42 


5 99 2 


6139 


6287 


6434 


6582 672 9 


i 7 


43 


65 9 5 


6 7 2 7 


685 9 


6 99 2 


7124 7257 


16 


43 


6877 


7 025 


7172 


7320 


7468 7616 


16 


44 


7 38 9 


7 522 


7654 


7787 


7 9 i 9 8o52 


i5 


44 


7764 


79 I2 


8060 


8208 


8356 85o4 


i5 


45 


8i85 


83i 7 


845o 


8583 


8716,8849 


i4 


45 


8653 


8801 


8 9 4 9 


9098 


9 246 9 3 9 5 


i4 


46 


8 9 82 


9 n5 


9 248 


9 38i 


9 5i4 9 647 


i3 


46 


9 543 


9692 


9 84o 


9989 


.i38 .287 


i3 


47 


97 8o 


99 i3 


..46 


.180 


.3i3 .446 


12 


47 


io.84o435 


o584 


o 7 33 


0882 


io3i 1180 


12 


48 


io.7 9 o58o 


0713 


0847 


o 9 8o 


ii i4 1247 


I I 


48 


i32 9 


i4 7 9 


1628 


1777 


i 9 26 2076 


II 


49 


1 38-i 


i5i5 


1 648 


1782 


I 9 i6 2o5o 


IO 


49 


2225 


2375 2524 


2674 


2823i2 9 73 


10 


5o 


2i83 


2317 


245 1 


2 585 


27i 9 2853 


9 


5o 


3123 


3372(3422 


35 7 2 


3722 38 7 2 


9 


5i 


2 9 8 7 


3l22 


3 2 56 


33 9 o 


3524J3658 


8 


5i 


4022 


4l 7 2j4322 


4472 


4623^773 


8 


52 

53 


3 79 3 
46oo 


3927 
4734 


4062 
486 9 


4196 
5oo4 


433i 4465 
5i38|52 7 3 


7 

6 


52 

53 


4 9 23 
5826 


5o 7 4 5224 53 7 4 
5977161276278 


5525 56 7 5 
642 9 658o 


7 
6 


54 


54o8 


5543 


56 7 8 


58i2 


5 9 47 6082 


5 


54 


6731 6882| 7 o33 7184 


7 335 7 486 


5 


55 


6218 


6353 


6488 


6623 


6 7 5868 9 3 


4 


55 


7637 778 9 7 9 4o 8o 9 i 


8 2 43;83 9 4 


4 


56 


784? 


7977 


7299 
8112 


7 435 
8248 


7570 7706 
8384 85i 9 


3 

2 


56 


8546 86 9 7 ; 884 9 9001 
9456 96081976019912 


9 i52 9 3o4 
..64 .216 


3 

2 


58 
5 9 


8655 
9 4?i 


8 79 i 
9 6o 7 


8927 
97 43 


9 o63 
9879 


9199 9335 
. . i5 . i5i 


I 

O 


58 
5 9 


io.85o368 o52o 0672 0825 
I282;i434 1 58 7 i 7 39 


9 77 II2 9 
l8 9 2 2045 


I 





60" 


50" 40" 


30" 


20" 10" 


rf 




60" i 50" j 40" 30" | 20" i 10" 


, 




Co-tangent of 9 Degrees 


i 




Co-tangent of 8 Degrees. 3 


P Pa t5 *" 2 " 3// 4 " 5 " 6 " 7 " 8// 9 ' 

J 13 26 39 52 65 78 91 103 116 


. ( 1" 2" 3" 4" 5" 6" 7" 8" 9" 
in ) 14 29 43 58 72 86 101 115 130 



00 



LOGARITHMIC SINES. 



g Sine of 82 Degrees. 




a 


Sine of 83 Degrees. 




I 


0" 1 10" 20" 


30" 


40" 


50" | 


s 


0" 10" j 2u i ) 


50" 




o 


9 . 99 5 7 53 


5 7 56 


5 7 5 9 


5 7 62 


5 7 65|5 7 685 9 


O 


9.996751 6753 6756,675* 6761 


6 7 64 


5 9 


2 


5 77 i 
5 7 88 


5 77 3 
5 79 i 


5 77 6 
5 79 4 


5 779 
5 797 


5 7 825 7 8558 
58oo58o35 7 


I 

2 


6 7 66;6 7 6 9 6 77 i 67746777 
67826784678767896792 


6 779 
6 79 5 


58 
5? 


3 


58o6 


58o 9 


58i2 


58i5 


58i8 


582i 


56 


3 


6797 6800 6802 68o5 6807 


6810 


56 


4 


5823 


5826 


582 9 


5832 


5835 


583855 


4 


68i268i5 6818 682. 


68 2 5 


55 


5 


584i 


5844 


584 7 


585o 


5853 


585654 


5 


6828;683o 6833 6835 6838 


684i 


54 


6 


585 9 


5862 


5864 


586 7 


58 7 o 


58 7 353 


6 


6843 6846 6848 : 685i 


6853 


6856 


53 


7 


58 7 6 


58 79 


5882 


5885 


5888 


58 9 ii52 


7 


6858,686i .6*63 6866 


6869 


68 7 i 


52 


8 


58 9 4 


58 97 


58 99 


5 9 O2 


5 9 o5 


5 9 o8 


5i 


8 


68 7 468 7 r 


6884 


6886 


5i 


9 


5 9 n 


5 9 i4 


5 9 i 7 


5 9 20 


5 9 23 


5 9 26 


5o 


9 


6889 68 9 1 689 . 


6899 


6 9 oi 


5o 


10 


9 . 99 5 9 285 9 3i 


5 9 34 


5 9 3 7 


5 9 4o 


5 9 43 


49 


10 


9 . 99 6 9 o4;6 9 o6 6909 6 9 i2 


6914 


6 9 i 7 


49 


ii 


5 9 46 5 9 4 9 


5 9 52 


5 9 54 


5 9 5 7 


5960 


48 


ii 


6 9 i 9 '6 9 22 6924 6 9 27 


6929 


6 9 32 


48 


12 

i3 


5 9 63 
5980 


5 9 66 
5 9 83 


5 9 6 9 5 97 2 
5 9 86 5 9 8 9 


5 97 5 5 97 8 
5 99 2j5 99 5 


47 
46 


12 

i3 


6 9 346 9 3 7 
6 9 4 9 6 9 52 


6939 6942 
6954 6957 


6944 
6 9 5 9 


6 9 4 7 4 7 
696246 


i4 


5 99 8 


6001 


6oo36oo6 


6009 6012 


45 


i4 


6 9 64 


6967 


6969 


6 97 2 


6 97 4 


697745 


i5 


6oi5 


6018 


6021 


6023 


6026,6029 


44 


i5 


6979 


6982 


6984 


6 9 8 7 


6 9 8 9 


6 99 2 44 


16 


6o3 2 


6o35 


6o38 


6o4i 


6043^046 


43 


16 


6994 


6997 


6999 


7002 


7 oo4 


7 oo 7 


43 


17 


6049 


6o52 6o55 


6o58 


6061 


6o63 


42 


1 7 


7009 


701 1 


7014 


7 oi6 


7 or 9 


7 O2I 


42 


18 


6066 6069 6072 


6o 7 5 


6o 7 8 6081 


4i 


18 


-7024 


7026 


7029 


7 o3i 


7 o34 


7 o36 


4i 


'9 


6o83 6086 6089 


6o 9 2 


6095 6098 


4o 


1 9 


7 3 9 


704 1 


7044 


7 o46 


7 o4 9 


7 o5i 


4o 


20 9.996100 6io3 6106 


6io 9 61 i2'6n5 


3 9 


20 


9.997053 


7o56 


7o58 


7 o6i 


7 o63 


-7066 


3 9 


21 


6117 


61206123 


6126 6i2 9 6i3i 


38 


21 


7068 


7071 


7 o 7 3 


7 o 7 6 


7 o 7 8 


7 o8o 


38 


22 


6i34 


6i3 7 


6i4o 6i43 


6i466i48 


37 


22 


7 o83 


7 o85 


7088 


7 o 9 o 


7 o 9 3 


7 o 9 5 


37 


23 


6i5i 


6i546i5 7 


6160 


6162 


6i65 


36. 


2') 


7098 


7100 


7102 


7io5 7 io 7 


7 I 10 


36 


24 


6168 


6171 


6i 7 4 


6177 6179 6182 


35 


24 


71 12 


7 n5 


7117 


7120 


7 I22 


7124 


35 


25 


6i85 


6188 


6i 9 i 


619 "> 6196 6199 


34 


25 


7127 


7 I2 9 


7i32 


7i34 


7 i3 7 


7 i3 9 


34 


26 


6202 


62o5 


6207 


6210 


62i3 6216 


33 


'26 




7144 


7i46 


7149 


7 i5i 


7 i54 


33 


27 


6219 


6221 


6224 


6227 


62306232 


32 


-7 


7^56 


7 i58 


7161 


7i63 7166 


7 i68 


32 


28 


6235 


6238 


6241 


6244 


6246 6249 


3i 


28 


7170 


7173 


7i 7 5 


7178 7180 


-7182 


3i 


29 6252 6255 


6 2 5 7 6260,6263 6266 


3o 


*9 


7i85 


7^7 


7190 


7192 


7 i 9 4 


7 i 97 


3o 


3o 9.996269 62-71 


62746277:62806282 


29 


Jo 


9.997199 


7 2O2 


7204 


7206 


7 2O 9 7 2I I 


2 9 


3i 


62856288 


6291 


6293.62966299 


28 


3i 


7214 


7 2l6 


7218 


7221 


7 223 


7226 


28 


32 


63o2 


63o5 


63o 7 63io63i363i6 


2 7 


32 


7228 


7 23o 


7233 


7 235 


7 238 


-7240 


27 


33 


63i8 


632i 


6324 6327 632 9 6332 


26 


33 


7242 


7 245 


7247 


7249 


7 252 


7 254 


26 


34 6335 


6338 


634o,6343 6346 634 9 


25 


34 


72 5 7 


72 5 9 


7261 


7264 


7266 


-7268 


25 


35 


635! 


6354 


635 7 


635 9 6362 ! 6365 


24 


35 


7271 


7273 


7276 


7278 


7280 


7 283 


24 


36 


6368 


6370 


6,3 7 3 


637663 79 638i 


23 


36 


72.85 


7 2S 7 


7290 


72 9 2 


7 2 9 4 


7 2 97 


23 


37 


6384 


638 7 


63 9 o63 9 2 63 9 5 63 9 8 


22 


37 


7299 




73o4 


7 3o6 


7 3o 9 


7 3ii 


22 


38 


64oo 


64o3 


64o6 


6409 64 1 1 


64i4 


21 


38 


7 3i3 


7 3i6 


73i8 


7 320 


7 3 2 3 


7 325 


21 


.3 9 


6417 


64i 9 


6422 


6425 6428 643o 


2O 


3 9 


7327 


7 33o 


7332 


7 334 


7 33 7 


7 33 9 


2O 


4o 9.996433 


6436 


6438 


644 1 6444 


644 7 


'9 


4o 


9 .997341 


7 344 


7346 


7 348 


7 35i 


7 353 


1 9 


4 1 6449 


6452 


6455 


645764606463 


18 


4i 


7 355 


7 358 


7 36o 


7 36 2 


7 365 


7 36 7 


18 


42 6465 
43 6482 


6468 
6484 


6471 6474 647616470. 
6487 64 9 o 64 9 2'64 9 5 


17 

16 


42 

43 


7 36 9 
7 383 


7 3 7 2 

7 386 


7 3 7 4 


7 3 7 6 
7 3 9 o 


7379 
7 3 9 3 


7 38i 
7 3 9 5 


17 
16 


44 6498 


65oo 


65o3 65o6 65o8 


65n 


i5 


44 


7397 


7399 


7 402 


7 4o4 


7 4o6 


7 4o 9 


1 5 


45 65i4 


6517 


65i 9 6522 65 2 5 


652 7 


i4 


45 


74 1 1 


74i3 


7 4i6 


7 4i8 


7 420 


7 423 


i4 


46 


653o 


6533 


6535 


6538654i 


6543 


i3 


46 


7425 


74^7 


7 429 


7 432 


7434 


7 436 


i3 


47 


6546 


654 9 


655i 65546557 


655 9 


12 


47 


743 9 


/44i 


7 443 


7445 


7448 


7 45o 


12 


48 


6562 


6565 


656 7 


65 7 o65 7 3 


65 7 5 


I I 


48 


7452 


7455 


745 7 


7 45 9 


746 1 


7 464 


II 


49 


65 7 8 


658o 


6583^586,6588 


65 9 i 


IO 


49 


7 466 


7 468 


7 4 7 i 


7 4 7 3J 7 4 7 5 


7477 


IO 


5o 


9.996594 


65 9 6 


65 99 6602:6604 


660-7 


9 


5o 


9.997480 


7 48 2 7 484 


7 48 7 7 48 9 


7 4 9 i 


9 


5i 


6610 


6612 


66i5 6618 6620 


6623 


8 


5i 


7 4 9 3 


7496 7498 


7 5oo 


7 5o2 


7 5o5 


8 


52 


6625 


6628 


663i 


66336636 


663 9 


7 


52 


7507 


7509 


75ii 


7 5i4 


75x6 


7 5i8 


7 


53 


664 1 


6644 


6646 


66496652 


6654 


6 


53 


7520 


7 5 2 3 




7 52 7 


7 53o 


7 53 2 


6 


54 


665 7 


6660 


6662 


6665 666 7 


66 7 o 


5 


54 7534 7536 


7 53 9 


7 54i 


7 543 


7 545 


5 


55 
56 
57 


66 7 3 
6688 
6704 


66 7 5 
66 9 i 
6707 


6678^681 6683 
66 9 4 66 9 6 66 99 
670(^)6712 6714 


6686 
6 7 oi 

6717 


4 
3 

2 


55 
56 
57 


7547755o 7 552| 7 554 7 556 
7 56i 7 563 7 565 7 568; 7 5 7 o 
7 5 7 4 7 5 777 5 797 58i 7 533 


7 55 9 

7 5 7 2 

7 585 


4 
3 

2 


58 


6720 


6722 


6720 


6 7 2 7 6730 


6 7 33 


I 


58 


7 588 7 5 9 o 7592 7 5 9 4 7597 7599 i 


5 9 


6 7 35 


6 7 38 


6740 


6 7 43 6 7 46 


6 7 48 





5 9 


7601 760^ -6o5 7608 7610 7612 o 




60" 


50" 


40" 


30" ; 20" 


10" 


c 




60" 50" 40" ! 30" 20" i 10" 




Co-sine of 7 


Degrees. 


s 




Co-sine of 6 Degrees. 


( 1" 9" <* 4' 

1 T T * 1 * -- ' * 


" 6" 7" 


8" 9" 


( l" 2" 3" 4" 5" 6" 7" 8 


P.PartJ | ! i | 


1 2 2 


2 2 


irt } 00111122 ' 



LOGARITHMIC TANGENTS. 



107 



1 


Tangent of 82 Degrees. 




.= 


Tangent of 83 Degrees. 




m 


0" | 10" 


20" 


30" 


40" 


50" 




" 


0" 10" 20" | 30" | 40" 


50" 




o 


10.852197 


2 35o 


25o3 


2656 


2809 


2962 


5o 


O 


10.910856 


io3o 


1205 


i3 79 ii553 


1727 


5 9 


i 


3n5 


3 2 68 


3421 


35 7 5 


3 7 28 


388i 


58 


I 


I 9 02 


2076 


225l 


2426 


2600 


2775 


58 


2 


4o34 


4i88 


434: 


4495 


464 9 


4802 


5? 


2 


2 9 5o 


3i 2 53aoo 


3475 


365o 


3825 


5 7 


3 


4g56 


5no 


5263 


54i 7 


55 7 i 


5 72 5 


56 


3 


4ooo 


4i76435i 


45 27 


4?02 


4878 56 


4 


58 79 


6o33 


6i8 7 


634i 


6496 


665o 


55 


4 


5o53 


5229 


54o5 


558i 


5 7 5 7 


5 9 33 


55 


5 


68o4 


6 9 58 


7 n3 


7 26 7 


7422 


7 5 7 6 


54 


5 


6io 9 


6 2 85 


646 1 


6638 


68 1 4 


6 99 o 


54 


6 


77 3i 


7886 


8o4i 


8i 9 5 


835o 


85o5 


53 


6 


7 i6 7 


7 343 


7 520 


7 6 97 


7874 


8o5o 


53 


7 


8660 


88i5 


8 97 o 


9125 


9280 


9 436 


52 


7 


822-7 


84o4 


858i 


8 7 5 9 


8 9 36 


9 n3 


52 


8 


9591 


o?46 


QQO2 


. .57 


.212 


.368 


5i 


8 


Q2QO 


o468 


o645 


0823 




178 


5i 


9 


io.86o524 


V f* v 

0679 


77 

o835 


0991 


n46 


I3O2 


5o 


9 


77 

io. 9 2o356 


yi+i"/w 

o534 


V"^"' 
7 I2 


v 

0890 


1068 


1246 


5o 


10 


i458 


1614 


1770 


1926 


2082 


223 9 


4 9 


10 


i424 


1602 


1781 


i 9 5 9 


2i38 


23i6 


49 


ii 


23 9 5 


2 55i 


2708 


2864 


3020 


3i 77 


48 


II 


24 9 5 


2 6 7 3 


2852 


3o3i 


3210 


338 9 


48 


12 


3333 


3490 


3647 


38o3 


3960 


4117 


4? 


12 


3568|3 7 4 7 


3 9 26 


4io5 


4285 


4464 


47 


i3 


4274 


443i 


4588 


4745 


4902 


5o5 9 


46 


1 3 


4644 


48 2 3 


5oo3 


5i83 


5362 


5542 


46 


i4 


52i6 


53 7 4 


553i 


5688 


5846 


6oo3 


45 


i4 


5 7 22 


5902 


6082 


6262 


644a 


6623 


45 


i5 


6161 


63 1 9 


6476 


6634 


6792 


6 9 5o 


44 


i5 


68o3 


6984 


7 i64 


7345 


7 5 2 5 


7706 


44 


16 


7107 


7 265 


7423 


7 58i 


77 3 9 


7 8 9 8 


43 


16 


7 88 7 


8068 


824 9 


843o 


8611 


8 79 2 


43 


'7 


8o56 


8214 


83 7 2 


853i 


8689 


8848 


42 


"7 


8973 


9i54 


9 336 


9 5l 7 


9699 


9 88o 


42 


18 


9006 


9166 


9 324 


9 48 2 


964i 


9 8oo 


4i 


18 


10.930062 


0244 


0425 


0607 


0789 


o 9 7i 


4i 


T 9 


99 5 9 


.118 


.277 


.436 


.5 9 5 


7 54 


4o 


T 9 


ix54 


i336 


i5i8 


1700 


i883 


2o65 


4o 


20 


10.870913 


I0 7 2 


1232 


i3 9 i 


i55i 


1710 


3 9 


20 


2248 


243o 


26i3 


2796 


2979 


3i62 


3 9 


21 


1870 


2029 


2i8 9 


2 34 9 


2 5o8 


2668 


38 


21 


3345 


35 2 8 


3 7 u 


38 9 4 


4078 


4261 


38 


22 


2828 


2988 


3i48 


33o8 


3468 


362 9 


3? 


22 


4444 


4628 


4812 


4 99 5 


5179 


5363 


37 


23 


3 7 8 9 


3949 


4109 


4270 


443o 


45 9 i 


36 


23 


554 7 5 7 3 r 5 9 i5 


6o 99 


6283 


646 7 


36 


24 


4?5i 


4912 


5073 


5234 


53 9 4 


5555 


35 


24 


6652 6836 7 o2i 


7205 


7 3 9 o 


7 5 7 5 


35 


25 


5 7 i6 


58 77 


6o38 


6i 99 


636o 


6522 


34 


25 


77 6o 


79 45 


8i3o 


83 1 5 


85oo 


8685 


34 


26 


6683 


6844 


7006 


7167 


7 32 9 


7 4 9 o 


33 


26 


88 7 o 


go56 


9 24i 


9.427 


9 6l2 


979 8 


33 


27 


7 652 


7 8i3 


797 5 


8i3 7 


82 99 


846i 


32 


27 


9984 


.169 


.355 


.54i 


.727 


. 9 i4 


32 


28 


8623 


8 7 85 


8 9 4 7 


9 id 9 


9271 


9 433 


3i 


28 


10.941100 


1286 


1472 


i65 9 


1 845 


2O32 


3i 


2 9 


9 5 9 6 


9758 


9921 


..83 


.246 


.4o8 


3o 


29 


2219 


2406 


25 9 2 


2779 


2 9 66 


3i53 


3o 


3o 


10.880571 


0734 


0896 


io5 9 


1222 


i385 


2 9 


3o 


334i 


35 2 8 


3 7 i5 


3902 


4o 9 o 


42 77 


29 


3i 


1 548 


1711 


i8 7 4 


2o38 


22OI 


2 364 


28 


3 1 


4465 


4653 


484i 


5o28 


52i6 


54o4 


28 


32 


2528 


2691 


2855 


3oi8 


3i8 2 


3345 


27 


3a 


55 9 3 


5 7 8i 


5969 


6i5 7 


6346 


6534 


2-7 


33 


35o9 


36 7 3 


383 7 


4ooi 


4i65 


432 9 


26 


33 


6 7 23 


6912 


7100 


7289 


7 4 7 8 


7 66 7 


26 


34 


4493 


465 7 


4821 


4 9 85 


5i5o 


53i4 


25 


34 


7 856 


8o45 


8234 


8424 


86i3 


88o3 


25 


35 


5479 


5643 


58o8 


5 97 2 


6i3 7 


63o2 


24 


35 


8992 


9182 


9 3 7 i 


9 56i 


97 5i 


99 4i 


24 


36 


6467 


663 2 


6796 


6961 


7127 


-7292 


23 


36 


io. 9 5oi3i 


O32I 


o5n 


0702 


o8 9 2 


I0 83 


23 


3? 


745 7 


7622 


7787 


79 53 


8118 


8284 


22 


37 


I2 7 3 


i464 


i65 


i845 


2036 


222 7 


22 


38 


8449 


86i5 


8781 


8 9 46 


91 12 


9278 


21 


38 


2418 


2609 


2800 


2991 


3i83 


33 7 4 


21 


3 9 


9444 


9610 


9776 


9942 


.108 


.274 


20 


3 9 


3566 


3 7 5 7 


3 9 4 9 


4i4i 


4332 


4524 


20 


4o 


10.890441 


0607 


0773 


o 9 4o 


1 106 


1273 


<9 


4o 


4 7 i6 


4908 


5ioi 


52 9 3 


5485 


5678 


19 


4i 


i44o 


1606 


I77 3 


i 9 4o 


2107 


2274 


18 


4i 


58 7 o 


6o63 


6255 


6448 


664i 


6834 


18 


42 


a44 1 


260812775 


2 9 42 


3no 


32 77 


J 7 


42 


7 02 7 


7 22O 


7 4i3 


7606 


7800 


7 99 3 


J 7 


43 


3444 


36i2J3 779 


3 9 4 7 


4n5 


4282 


1.6 


43 


8i8 7 


838o 


85 7 4 


8768 


8 9 6i 


9I 55 


16 


44 


445o 


4618)4786 


4 9 54 


5l22 


5290 


i5 


44 


9349 


9544 


9738 


99 32 


. 126 


!3ai 


i5 


45 


5458 


5626,5795 


5 9 63 


6i3i 


63oo 


i4 


45 


10.960515 


o 7 io 


o 9 o5 


1099 


I2 9 4 


i48 9 


i4 


46 


6468 


663 7 !68o6 


69-74 


7 i43 


7312 


i3 


46 


1 684 


i8 79 


2074 


2270 


2465 


2661 


i3 


4? 


7 48i 


7 65o 


7819 


7988 


8i5 7 


83 2 6 


*2 


47 


2856 


3o52 


3247 


3443 


363 9 


3835 


12 


48 


8496 


8665 


8834 


9004 


9 i 7 3 


9 343 


I I 


48 


4o3i 


422 7 


4424 


4620 


48i6 


5oi3 


II 


49 


9 5i3 


9 683 


9852 


. .22 


. 192 


.362 


IO 


49 


5209 


5406 


56o3 


58oo 


5 997 


6i 9 4 


10 


5o 


io.coo532 


0702 


o8 7 3 


io43 


I2l3 


1 384 


9 


5o 


63 9 i 


6588 


6 7 85 


6 9 83 


7180 


7377 


9 


5i 


i554 


1-724 


i8 9 5 


2066 


2236 


2407 


8 


5i 


7 5 7 5 


7773 


797 1 


8169 


8367 


8565 


8 


52 


2 5 7 8 


2 7 4 9 


2920 


3091 


3262 


3433 


7 


52 


8 7 63 


8961 


9 i5 9 


9 358 


9 556 


97 55 


7 


53 


36o5 


3 77 6|3 9 4 7 


4119 


4290 


4462 


6 


53 


99 5 4 


.i5a 


.35i 


.55o 


.749 


. 9 48 


.6 


54 


4633 


48o5!4 977 


5i49 


5320 


5492 


5 


54 


10.971148 


1 347 


1 546 


i?46 


1945 


2i45 


5 


55 


5664 


583 7 6oo 9 


6181 


6353 


6526 


4 


55 


2345 


2545 


2745 


2945 


3i45 


3345 


4 


56 
5? 


6698 
7734 


6871 ho43 

790718080 


7216 
8253 


7 388 
8426 


7 56i 
85 99 


3 

2 


56 
5 7 


3545 
4 7 49 


3 7 46 3 9 46 
4 9 5o5i5i 


4i47 
5352 


4347 
5553 


4548 
5 7 55 


3 

2 


58 


8772 


89469119 


9292 


9 466 


9 63 9 i 


58 


5 9 56j6i57635 9 


656i 


6762 


6 9 64 


I 


5 9 


9 8i3 


99 8 7 


.161 .334 -5o8 


.682 o 


5 9 


7 i66! 7 368 7 5 7 o 


7773 797 5 


8i77 


O 




60" 


50" 


40"| 30" 20" 


10" 


c 




60" 50" 40" 30" 20" 10" 


a 




Co-tangent of 7 Degrees. 


s 




Co-tangent of 6 Degrees. 





.< 1" 2" 3" 4" 5" 6" 7" 8" 9" 
I 16 33 49 65 81 98 114 130 146 


. C 1" 2" 3" 4" 5" 6" 7" 8" 9" 
in \ 19 37 56 75 94 112 131 150 168 



108 



LOGARITHMIC SINES. 



.5 


Sine of 84 Degrees. 




.5 


Sine of 85 Degrees. 




a 


0" ! 10" | 20" ' 30" 1 40" 50" 




a 


0" 10" 


20" 


30" 40" 


50" 




( 


9.997^14 7617 7619 7621/7623 7626 


5 9 


o 9.998344:8346 


8348 


835o'8352 


835j 


5 9 


I 


762817630 7632 7 634: 7 636 7 639 


58 




8355 835 7 


835 9 


836il8363 


8364 


58 


2 

3 


764 J 


764376457647:76507662 
7 656 76687661 '76637665 


56 


2 


8366 8368 
83 77 83 79 


83 7 o 
838i 


83728374 
83838385 


83 7 5 
8386 


56 


4 


7667 


7669 7672 7674:7676 7678 


55 


i 


8388 


8390 


83 9 2 


83 9 4 


83 9 5 


83 97 


55 


5 


7 68o 


7682 7686 7687 7689 7691 


54 


[ 


83 99 


84oi 


84o3 


84o4 


84o6 


84o8 


54 


6 


7 6 9 3 


7696 7698 7700 7702 7704 


53 


( 


84io 


8412 


84i3 


84i5 


84i 7 


84i 9 


53 


7 


77 o6 


77097711 7713:77167717 


62 


7 


8421 


8422 


8424 


8426 


8428 


843o 


52 


8 


77 i9 


7722 7724 7726,7728(7730 


61 


8 


843i 


8433 8435 


843 7 


843 9 


844o 


5i 


9 


7732 


77 35 77 3 777 3 9 ' 77 4i| 77 43 


5o 


c 


8442 


8444 8446 8448 


844 9 


845 1 


5o 


10 


9.997745 


77 4 7 7760 7762 77 54: 77 56 


4 9 


10 


9.998453 


8455:845618458 


846o 


8462 


^ 


ii 

12 


77 58 
7771 


7760 77 62 77 65 77 6 7J77 6 9 
777 3 777 5 7777 77 8 7782 


48 
47 


ii 


8464 
84 7 4 


84668467 
84 7 6 84 7 8 


|846 9 

8479 


84 7 i 
848 1 


84 7 2 
8483 


48 
47 


iJ 


77 84 


7786 77 88 7790 7792 779 4 


46 


i' 


8485 


848 7 


848* 


84 9 o 


84 9 2 


84 9 4 


46 


i4 
i5 


7797 
7 8o 9 


779 9 7 8oi 7 8o3 7 8o5 7807 
7811 7814 78167818 7 82o 


45 
44 


n 
16 


8496 
85o6 


849-718499 

85o8|85o 9 


85oi 
85u 


8602 
85i3 


85o4 
85i5 


45 
44 


16 


7 822 

7 835 


78247826782878307833 
7 83 77 83 97 84i l 7 843 7 845 


43 

42 


16 
17 


85ib 
85 27 


85i8|852o 
8629 853o 


8522 

8532 


85-^3 
8534 


8626 
8535 


43 

42 


18 


7 84 7 


7 84 9 7 85 2 7864:7866 7868 


4x 


18 


853 7 


853 9 


854i 


8542 


8544 


8546 


4i 


19 


7 86o 


7862 7864 7866 7868 7870 


4o 


19 


8548 


854 9 


855i 


8553 


8554 


8556 


4o 


20 


9-997872 


7876 7877 78 79 ; 7 88iJ7883 


3 9 


20 


9.998668 


856o 


856i 


8563 


8565 


8566 


3 9 


21 


7 885 


7887 7889 78917893 7896 


38 


21 


8568 


85 7 o 


85 7 2 


85 7 3 


85 7 5 


8677 


38 


22 


7897 


7900 7902 7904 7906 7908 


37 


22 


85 7 8 


858o 


8682 


8584 


8585 


8687 


37 


23 


79 io 


7912 79x4791679x87^30 


36 


23 


858 9 


8690 


85 9 2 


85 9 4 


85 9 5 


85 97 


36 


24 


79 22 


7924 7926 7929 79' ! 


35 


24 


85 99 


8601 


8602 


86o4 


8606 


86o 7 


35 


25 


79 35 


793779397941 79437945 


34 


26 


86o 9 


86x1 


8612 


86i4 


8616 


86i 7 


34 


26 


7947 


79 4 9 79 5i 79 53 79 55 79 5 7 


33 


26 


86i 9 


8621 


8622 


8624 


8626 


8627 


33 


2 7 


79 5 9 


7 9 6i 79 63 79 65 796^7970 


32 


27 


8629 


863: 8633 


8634 


8636 


8638 


32 


28 
2 9 


7972 
7 984 


7974.79761797879807983 

79867988799079027094 


3i 
3o 


28 

2 9 


863 9 
864 9 


- 
865i 


8653 


8644 
8654 


8646 8648 
86568657 


3i 
3o 


3o 


9 . 99799 6 


7998 8000 8002 8oo4 8006 29 


3o 


9 . 99 865 9 


8661 


8662 


8664 


8666 


8667 


2 9 


3: 


8008 


8010 8012 8oi4 8016 8018 


28 


3i 


866 9 


86 7 r 


86-72 


86 7 4 


86 7 6 


8677 


28 


32 


8020 


8022 8024 8026 8028 8o3o 


27 


32 


86 79 


8681 


8682 


8684 


8686 


8687 


27 


33 


8o32 


8o34 8o36 8o38 ; 8o4o 8042 26 


33 


868 9 


8690 


8692 


86 9 4 


86 9 5 


86 97 


26 


34 


8o44 


8o46 8o48 8060 8062 8o54 26 


34 


86 99 


8700 


8 7 02 


8704 


8 7 o5 


8707 


25 


35 


8o56 


8068 8060 8062 8o64 8066 24 


35 


8-708 


8710 


8712 


8 7 i3 


8716 


8717 


24 


36 


8068 


8o 7 o %) 7 2 8074 8076 8078 23 


36 


8-718 


8720 


8721 


8723 


8 72 5 


8726 


23 


37 


8080 


8082 8o84 8086 8088 8oy<> 1212 


37 


8 7 28 


8739 


8 7 3i 


8 7 33 


8 7 34 


8 7 36 


22 


38 


8092 


8o 9 4 8o 9 6 8o 9 8 8100 8102 21 


38 


8 7 38 


8 7 3 9 


8741 


8742 




8 7 46 


21 


3 9 


8io4 


8106810881108112 8114 20 


3 9 


8 7 4 7 


8 7 4 9 


8760 


8762 


8 7 54 


8 7 55 


2O 


4o 


9.998116 


8118 81208122 81248126 19 


4o 


9 . 99 8 7 5 7 


8768 


8760 


8762 


8 7 G-; 


8 7 65 


! 9 


4i 


8128 


8i3o8i3i 8i338i358i37 18 


4i 


8766 


8768 


8769 


877J 


8773 


8 77 4 


18 


42 


8i3 9 


8i4i 8i43 8x45 8147 8i4 9 17 


42 


8776 


8777 


S 779 


8781 


8 7 82 


8 7 84 


J 7 


43 


8i5i 


8i538i558i5 7 8i5 9 8i6i 16 


43 


8786 






S 79 o 




8793 


6 


44 


8i63 


816581678x6881708179 16 


44 


8 79 5 


8 79 6 


8798 


8799 


88o3 


5 


45 


8i 7 4 


8i 7 6 8178 81808x83 8i84 i4 


45 


88o4 


8806 


8807 


88o 9 


8812 


4 


46 


8186 


Ji88 8ioof8i 9 2|8io.4 8i 9 5 i3 


46 


88i3 


8816 


8817 


8818 


8820 


8821 


3 


47 


8i 97 


8i 99 8201 8203^206 8207 12 


47 


8823 




8826 


8827 


882 9 


883i 


2 


48 


8209 


8211 83x3 8sx5 83x7 8318 n 


48 


8832 


8834 8835 


8837 


8838 


884o 


I 


49 


8220 


8222 8224 8226 8228 823o 10 


49 


884i 


8843 


8844 


8846 


8848 


884 9 





5o 
5i 


9.998232 
8243 


8 2 34 8236 8238 823 9 8241 9 
82458247|8249J8 3 5i 8263 8 


5o 
61 


9 . 99 885i 
8860 


8862 
8861 


8854 
8863 


8855 
8864 


885 7 
8866 


8858 
886 7 




52 


8255 


8267 8258:826o j 8262 8264! 7 


62 


886 9 


8870 


8872 


88 7 3 


88 7 5 


88 77 


7 


53 


8266 


8268 8270 8272 8273 8276 


6 


53 


88 7 8 


8880 


8881 8883 


8884 


8886 


6 


54 


8277 


82798281 8283:8286 8287 


5 


54 


888 7 


888 9 


88908892 


88 9 3 


88 9 5 


5 


55 


8289 


8290 8292 8294 8296 8298 


4 


55 


88 9 6 


889818899 8 9 oi 


8 9 o2 ! 8 9 o4 


4 


56 


83oo 


83o2 83o3 83o5 8307 8309 


3 


56 


8 9 o5 8907 8908 8910 891 1 Syi 3 


3 


5 7 


83n 


83i383i583i683i8832o 2 


5 7 


8914 8916 891-7 8919 8920 8922 


2 


58 


8322 


8324 8326 8328 8329 833i i 


58 


8923 8926 8926 892-7 8929 8930 


I 


5 9 


8333 


8335 833 7 833 9 834i 8342 o 


5 9 


8 9 3 2 8 9 33 8 9 35 8 9 36 8 9 38 8 9 3 9 


O 




60" ] 50" 40" 30" 20" 10" ; . 




60" 50" 40" 30" 20" 10" 




Co-sine of 5 Decrees. a 


Co-sine of 4 Degrees. a 


P Part 5 l " ~" 3 " 4 " 5 " 6 " 7 " 8 " 9// P" 2 " 3// 4 " 5// 6 " 7 " 8" *" 

irt j 001111122;; irt j 1 1 1 1 1 1 



LOGARITHMIC TANGENTS. 



109 



1 


Tangent of 84 Degrees. 




j 


Tangent of 85 Degrees. | 


X 


0" 


10" 


20" 


30" 


40" 


50" 




a 


0" 


10" 


20" 


30" 


40" 


50") 





10.978380 


8582 


8 7 85 


8 9 88 


9191 


9394 


5o 





n.o58o48 


8291 


8533 


8776 


9019 


9262 


5 9 


i 


9 5 97 


9800 


...3 


.206 


.4io 


.6i3 


58 


I 


9 5o6 


9749 


999 3 


.236 


.480 


.724 


58 


2 


10.980817 


1021 


1224 


1428 


i632 


i836 


57 


2 


ii .060968 


1212 


i456 


1701 


1945 


2190 


57 


o 


2O4I 


2245 


2449 


2654 


2858 


3o63 


56 


3 


2435 


2680 


2925 


3170 


34i6 366i 


56 


4 


3268 
4498 


34 7 S 
4703 


36 77 
4909 


3882 
5n4 


4o8 7 
5320 


4293 
5526 


55 

54 


4 
5 


3 9 o 7 

5384 


4i53 
563i 


43 99 
58 77 


4645 
6124 


4891 5i38 
6371 6619 


55 

54 


6 


5 7 32 


5 9 38 


6i44 


635o 


6556 


6 7 63 


53 


6 


6866 


7 n3 


7 36i 


7609 


7 85 7 


8io5 


53 


7 


6969 


7176 


7 382 


7 58 9 


7796 


8oo3 


52 


7 


8353 


8601 


885o 


9098 


9 34 7 


9 5 9 6 


5a 


8 


8210 


84i7 


8624 


883i 


9039 


9246 


5i 


8 


9 845 


.-94 


.343 


.5 9 3 


.842 


I0 9 2j5l 


9 


9454 


9 662 


9869 


77 


.285 


.493 


5o 


9 


II.0 7 l342 


1592 


1842 


2O 9 2 


2343 


25 9 3 


5o 


10 


10.990702 


o 9 io 


1118 


l32 7 


i535 


1744 


4 9 


10 


2 844 


3093 


3346 


35 97 


3848 


4ioo 


49 


ii 


I 9 53 


2162 


23 7 I 


258o 


2789 


2998 


48 


1 1 


435i 


46o3 


4855 


5io 7 


535 9 '56n 


48 


12 

i3 


3208 
4466 


34i7 
46 7 6 


362 7 

4886 


3836 
5o 9 6 


4o46 
53o 7 


4256 
55i 7 


47 
46 


12 

i3 


5864 
7 38i 


6116 
7 635 


636 9 

7 888 


6622 
8142 


68 7 5 7128147 
83 9 6865o46 


i4 


5 7 28 


5 9 3 9 


6149 


636o 


65 7 i 


6-782 


45 


i4 


8 9 o4 


9 l5 9 


94i3 


9 668 


9922 


.177 


45 


i5 


6993 


7 2o5 


7 4i6 


7 62 7 


7 83 9 


8o5i 


44 


i5 


1 1. o8o432 


0688 


o 9 43 


1199 


i454 


1710 


44 


16 

17 


8262 
9 535 


84 7 4 
97 48 


8686 
9960 


8898 
.i 7 3 


9111 
.386 


9323 
5 99 


43 

42 


16 


i 9 66 
35o5 


2222 
3 7 62 


24 7 8 
4oi 9 


2 7 35 
42 7 6 


2 99 i 3248 
453414791 


43 

42 


18 


ii .000812 


1025 


1238 


i45i 


1 66 5 


i8 7 8 


4i 


18 


5o4 9 


53o 7 


5565 


5823 


6082,6340 


4i 


19 


2092 


2 3o6 


2519 


2 7 33 


2947 


3i6i 


4o 


ig 


65 99 


6858 


7117 


7 3 7 6 


76357894 


4o 


20 


33 7 6 


35 9 o 


38o4 


4019 


4234 


4448 


3 9 


20 


8i54 


84i4 


86 7 4 


8 9 34 


91949454 


3 9 


21 


4663 


48 7 8 


5093 


53o8 


5524 


5 7 3 9 


38 


21 


9 7i5 


997 5 


.236 


4 97 


758 1020 


38 


22 


5 9 55 


6i 7 o 


6386 


6602 


6818 


7o34 


37 


22 


II .O 9 I28l 


1 543 


i8o4 


2066 


2328 2590 


3 7 


23 


7 25o 


7 466 


7 682 


7 8 99 


8n5 


8332 


36 


23 


2853 


3n5 


33 7 8 


364 1 


3904 


4167 


36 


24 


8549 


8 7 65 


8982 


9199 


9417 


9 634 


35 


24 


443o 


46 9 4 


4 9 5 7 


5221 


5485 


5 7 4 9 


35 


25 


> 9 85i 


..69 


.286 


.5o4 


.722 


. 9 4o 


34 


25 


6oi3 


62-78 


6542 


68o 7 


7072 


7 33 7 


34 


26 


ii.oni58 


i3 7 6 


i5 9 4 


i8i3 


2031 


225o 


33 


26 


7602 


7 868 


8i33 


83 99 


8665 


8 9 3i 


33 


27 


2468 


2 68 7 


2906 


3i25 


3344 


3563 


32 


27 


9197 


9 463 


97 3o 


999 6 


.263 


.53o 


32 


28 


3 7 83 


4OO2 


4222 


444 1 


466i 


488i 


3i 


28 


11.100797 


io65 


i332 


1600 


1868 


2i36 


3i 


29 


5ioi 


532i 


554i 


5 7 62 


5982 


6202 


3o 


29 


2404 


26 7 2 


2 9 4o 


32O 9 


34 7 8 


3 7 4 7 


3o 


3o 


6423 


6644 


6865 


7 o86 


7307 


7628 


29 


3o 


4oi6 


4285 


4555 


4824 


5094 


5364 


2 9 


3i 


7749 


197 1 


8192 


84i4 


8636 


885 7 


28 


3i 


5634 


5 9 o4 


6i 7 5 


6445 


6 7 i6 


6 9 8 7 


28 


32 


9079 




9524 


9746 


9968 


.191 


2 7 


32 


7 258 


7 J2 9 


7 8oi 


8o 7 2 


8344 


8616 


27 


33 




o636 


o85 9 


1082 


i3o5 


i5 2 8 


26 


33 


8888 


9 i6o 


9 433 


97 o5 


9978 


.a5i 


26 


34 


1752 


i 97 5 


2199 


2422 


2646 


28-70 


25 


34 


ii . no524 


o 79 8 


IO 7 I 


1 345 


1618 


l8 9 2 


25 


35 


3094 


33i8 


3542 


3 7 6 7 


3991 


4216 


24 


35 


2l6 7 


244 1 


2 7 l5 


2990 


3265 


354o 


24 


36 


444o 


4665 


4890 


5n5 


534o 


5565 


23 


36 


38i5 


4o 9 o 


4366 


4642 


4917 


5i 9 3 


23 


37 


5791 


6016 


6242 


6468 


66 9 3 


6 9 i 9 


22 


37 


54 7 o 


5 7 46 


6023 


6299 


65 7 6 


6853 


22 


38 


7i45 


7 3 7 2 


7 5 9 8 


7 8 2 4 


8o5i 


82 77 


21 


38 


7 i3i 


7 4o8 


7 686 


79 63 


8241 


8520 


21 


39 


85o4 


8 7 3i 


8 9 58 


9 i85 


9412 


9 64o 


20 


3 9 


8798 


90 7 6 


9 355 


9 634 


99 i3 


.192 


2O 


4o 


9867 


.. 9 5 


.322 


.55o 


.778 


1006 


: 9 


4o 


ii . 120471 


o 7 5i 


io3i 


i3n 


1691 


1871 


J 9 


4i 


n.o3i234 


1462 


i6 9 i 


1919 


2148 


2 3 77 


18 


4i 


2l5l 


2432 


2 7 l3 


2 99 4 


32 7 5 


3556 


18 


42 


2606 


2 835 


3o64 


3293 


3522 


3 7 5 2 


17 


42 


3838 


4n 9 


44oi 


4683 


4 9 66 


5248 


i 7 


43 


3981 


4211 


444i 


46 7 i 


4901 


5i3i 


16 


43 


553i 


58i3 


6o 9 6 


638o 


6663 6 9 46 


16 


44 


536i 


55 9 2 


5822 


6o53 


6284 


65i4 


i5 


44 


7230 


7 5i4 


779 s 


8082 


836 7 


865i 


i5 


45 


6745 


6 977 


7208 


743 9 


7671 


7 902 


i4 


45 


8 9 36 


9 22I 




979 2 


77 


.363 


i4 


46 


8i34 


8366 


85 9 8 


883o 


9062 


9 2 9 5 


i3 


46 


n.i3o649 


o 9 35 


1221 


i5o8 


1 79 4 


2081 


i3 


47 


9527 


97 6o 


999 2 


.225 


.458 


.691 


12 


47 


2368 


2656 


2 9 43 


323i 


35i838o6 


12 


48 


11.040925 


ii58 


i3 9 i 


1625 


i85 9 


2092 


II 


48 


4og4 


4383 


46 7 i 


4 9 6o 


524 9 5538 


II 


49 


2326 


2 56i 


2 79 5 


3029 


3 2 64 


3498 


10 


49 


582 7 


6n 7 


6407 


66 97 


6 9 8 7 7277 


10 


5o 


3 7 33 


3 9 68 


4203 


4438 


46 7 3 


4908 


9 


5o 


756 7 


7 858 


8149 


844o 


873i! 9 o23 


9 


5i 


5i44 


53 7 9 


56i5 


585i 


6o8 7 


6323 


8 


5i 


93i4 


9606 


9898 


. 190 


.483 


. 77 5 


8 


52 


6559 


6 79 5 


7 o32 


72 68 


7 5o5 


77 42 


7 


52 


11.141068 


i36i 


i654 


i 9 4? 


2241 


2535 


7 


53 


7979 


8216 


8453 


8691 


8928 


9166 


6 


53 


2829 


3i23 


34i7 


3712 


4007 


43oi 


6 


54 


94o3 


9641 


9 8 79 


.117 


.356 


.594 


5 


54 


45 97 


4892 


5187 


5483 


5 779 


6o 7 5 


5 


55 


n.o5o832 


IO 7 I 


i3io 


1 549 


1-788 


202 7 


4 


55 


63 7 2 


6668 


6 9 65 


7262 


7 559| 7 856 


4 


56 


2266 


2 5o6 


2 7 45 


2 9 85 


3225 


3465 


3 


56 


8i54 


8452 


8 7 5o 


9 o48 


9346 9645 


3 


5 7 


3 7 o5 


3 9 45 


4i85 


4426 


4666 


49o 7 


2 


57 


99 43 


.242 


.542 


.84i 


ix4i 


i44o 


2 


58 


5i48 


5389 


563o 


5871 


6112 


6354 


I 


58 


n.i5i 7 4o 


2041 


234i 


2642 


2942 


3243 


I 


5 9 


65 9 6 


683 7 


779 


7321 


7 563 


7 8o6 


O 


5 9 


3545 3846 4i48 


4449 


4 7 52 5o54 


O 




60" 50" 


40" 


30" 


20" 


10" 


. 




60" 50" 40" 30" | 20" 10" 


j 




Co-tangent of 5 Degrees. 


a 




Co-tangent of 4 Degrees. 


s 


P PartJ 1//2 " 3 " 4 " 5 " G// 7 " 8// 9 " 


( 1" 2" 3" 4" 5" 6" 7" 8" 9" 




P. Part ^ 27 54 81 log 135 162 188 215 242 



I 10 



LOGARITHMIC SINES. 



1 


Sine of 86 Degrees. 







Sine of 87 Degrees. 




H 


0" 


10" 1 20" 


! 30" | 40" 


50" 




s 


0" 


10" 


20" 


30" | 40" 


50" 






I 

2 

3 

4 


9.998941 

8968 
8967 
8976 


8 9 42|8 9 448 9 458 9 47 
8961 895389648955 
89608961 8 9 638 9 64 
8969 8970 8971 8 9 73 
8977 8979 89808982 


8 9 48 
8967 
8966 
8 97 4 
8 9 83 


69 

58 

ll 

55 


O 
I 

L 


9.999404 
9 4n 
9418 
9424 
943 1 


9 4o6 

9 4l2 

9 4i 9 
9 425 
9 43 2 


9 4o 7 
9 4i3 

9 4s6 
9 433 


94o8 

9 4i4 

9 42I 
9 42 7 

9 434 


' 9 4o 9 
9 4i5 

9 428 
9 435 


9 4io 
9 4i6 
9 423 
9 43o 
9 436 


5 9 
58 

56 
55 


5 


8984 


8986 8987 898 9 8 99 o 


8992 


54 


5 


9 43 7 


9 438 


9 43 9 


9 44o 


9 44i 


9 442 


54 


6 


89938 99 58 99 6 


8 997 8 999 


9000 


53 


6 


9443 


9 445 9 446 


9 447 


9 448 


9449 


53 


7 

8 


9 OO2 

9 oio 


9 oo3 9 oo5 

9 OI2 9 OI^ 


9006 9007 9 oo 9 
9 oi5 9 oi6J 9 oi7 


62 
5i 


8 


9 45o 
9 456 


9 45i 9 452 
9 45 79 458 


9 453 
9 45 9 


9 454 
9 46o 


9455 
946i 


62 
5i 


9 


9 OI 9 


9 O2O 9 O22 


9 023 9 024 


9 026 


5o 


9 


9 463 


9 464 9 465 


9 466 


9 467 


9 468 


5o 


IO 


9- 999 2 7 


9 o2 9 9 o3o 9 o32 9 o33 


9 o34 


49 


IO 


9 999469 


9 47o 


9 47i 


9472 


9 4 7 3 


9 474 


4 9 


ii 


9 o36 


9 o37 9 o3 9 


9 o4o 9 o4i 


9 o43 


48 


ii 




9476 


9477 


9478 


9 479 


9 48o 


48 


12 


9044 


9 o46 9 o47 9 o48 9 o5o 


9 o5i 


47 


12 


9 48i 


9482 


9 483 


9484 


9 485 


9 486 


47 


i3 


9o53 


9 o54 9 o55 9067 9 o58 9 o5 9 


46 


i3 


9487 9488 


9 48 9 


9490 


9 4 9 i 


9 4 9 2 


46 


i4 
i5 
16 


9061 
9069 
9077 


9 o62 9 o64 9066 9 o66 9 o68 
9 o 7 i 9 o72 9 073j 9 o 7 5 9 o76 
9079 9 o8o 9 o82 9 o83 9 o84 


45 
44 
43 


i4 
16 
16 


9493)9496 
9600 9601 
95o6j 9 5o7 


9 4 9 6 9497 
9602 9603 
9608 9609 


9 4 9 8 
9 5o4 
9 5io 


9499 
9606 
9611 


45 
44 
43 


17 


9086 


9087 9 o88 9 o 9 o 9 o 9 i 


9 9 2 


42 


17 


9 5i2 9 5i3 


9 5i4 


9616 


9 5i6 


9617 


42 


18 


9094 


9096 9097 9098 


9099 


9 IOI 


4i 


18 


9 5i8 


9 5i 9 


9620 


9621 


9 522 


9 523 


4i 


19 

20 


9102 
9 . 999 no 


9 io3 9106 9 io6 9107 
9111 9 ii3 |9 ii4 9 n5 


9109 
9117 


4o 
39 


'9 

20 


9 5 2 4 
9 . 999 52 9 


9 525 
9 53o 


9626 
9 53i 


9627 
9 53 2 


9 5 2? 
9 533 


9 528 
9 534 


4o 
3 9 


21 


9118 


9 I20 9 I2I 


9 I22 


9124 


9126 


38 


21 


9 535 


9 536 


9 53 7 


9 538 


9 53 9 


9 54o 


38 


22 


9126 


9 I28 9 I2 9 


! 9 i3o 


9 l32 


9133 


37 


22 


9 54i 


9 542 


9 543 


9544 


9 545 


9 546 


37 


23 


9i34 


9 i36 9 i37 9 i38 


9 i4o 


9141 


36 


23 


9 547 


9 548 


9 549 


9660 


9 55i 


9 552 


36 


24 


9 i42 


9 i43 9 i45 9 i46 


9 i47 


9 i4 9 


35 


24 


9 553 


9 554 


9 555 


9 556 


9 55 7 


9 55 7 


35 


25 


9160 


9 i5i 9 i53 9164 


9 i55 


9 l5 7 


34 


25 


9 558 


9 55 9 


9660 


9661 


9662 


9 563 


34 


26 


9168 


9 i5 9 9 i6i 


9 l62 


9 i63 


9 i65 


33 


26 


9 564 


9 565 


9666 


9667 


9668 


9 56 9 


33 


27 


9166 


9 i67 9168 9170 


9 i 7 i 


9 I 7 2 


32 


27 


9 5 7 o 


9 57i 


9 5 7 2 


9 5 7 3 


9 5 7 3 


9 5 7 4 


3a 


28 


9 i 7 4 


9176 9176 9178 


9179 


9180 


3i 


28 


9 5 7 5 


9676 


9677 


9678 


9 5 79 


9 58o 


3i 


29 9181 


9 i83 9 i84 


9 i85 


91879188 


3c 


2 9 


9 58i 


9682 


9683 


Q 584 


9 585 


9 586 


3o 


3o 7.999189 


91909192 9193 


91949196 


29 


3o 


9.999686 


9687 


9688 


9 58 9 


9 5 9 o 


9 5 9 i 


2 9 


3i 


9197 


9 i 9 8 9 i 99 9201 


9202 9203 


28 


3i 


9692 


9 5 9 3 


9 5 9 4 


9696 


9 5 9 6 


9 5 97 


28 


32 


9206 


9206 9207 9208 


92109211 


27 


32 


9697 


9698 


9 5 99 


9600 


9601 


9 6o2 


2 7 


33 


9212 


9213 9215 9216 


9 2I 7 


9219 


26 


33 


9603 


9604 


9 6o5 


9606 


9606 


9607 


26 


34 


9220 


9221 9222 9224 


9 225 


9 226 


25 


34 


9608 


9 6o 9 


9 6io 


9611 


9612 


9 6:3 


25 


35 


9227 


9229 9230 9231 


9 232 9 234 


24 


35 


9614 


9614 


9 6i5 


9616 


9 6i 7 


9 6i8 


24 


36 


9 s35 


92369237 


9 23 9 




9 24l 


23 


36 


9619 


9620 


9 62I 


9622 


9622 


9 623 


23 


3? 


9242 


9244924^9246 


047 


9 24 9 


22 


37 


9624 


9 625 


9 626 


0627 


9 6 2 8 


9 62 9 


22 


38 


9260 


9261 9262 9 254 


9266 9 256 


21 


38 


9629 


9 63o 


9 63i 


9 632 


9 633 


9 634 


21 


3 9 


9267 


9 258 9260 9261 


9262 


9 263 


2O 


39 


9635 


9 635 


9 636 


9 6 3 2 


9 638 


9 63 9 


20 


4o 


9.999265 


9266 926719268 


9270 


9271 


I 9 


4o 


9.9996409641 


9 64i 




9 643 


9 644 


IQ 


4i 

42 


9272 
9279 


9273 92749276 
92809282 9283 


9277,9278 
9284,9286 


18 

17 


4i 

42 


9645 9646 
96609661 


9 647 
9 652 


9647 
9 653 


9 648 
9 653 


9 64 9 
9 654 


18 


43 


9287 


9288 928919290 


9291 


9 2 9 3 


16 


43 


9666 


9 656 


9667 


9668 


9 658 


9 65 9 


16 


44 


9294 


9295 9296 9297 


9 2 99 9 3oo 


i5 


44 


9660 


9 66il 9 662 


9 663 9 663 


9664 


16 


45 


93oi 


9302 93o3 


9 3o5 


9 3o6 9 3o7 


i4 


45 


9666 


9 666 


9667 


9 668 9 668]Q66 9 


i4 


46 


93o8 


9309 93109312 


9 3i3 |9 3i4 


i3 


46 


9670 


9 6 7 i 


9672 


9 6 7 2 


9673 


9674 


i3 


47 
48 


9 3i5 
9322 


93i6 9318 9319 
932393269326 


9 320 9 32I 


12 


47 
48 


967696769677 
9680968119681 


9 6 77 9 6 7 8 9 6 79 
9 682 9 683 9 684 


12 
II 


49 


9329 


933i 93329333 


9334!9335 


IO 


49 


968696869686 


968796889689 


10 


5o 


9 999 336 


9338 9 33 9 9340 


934i 


9 342 


9 


5o 


9.99968996909691 


9692 


9 6 9 3 


9 6 9 3 


9 


5i 


9 343 


9344 9346 9347 


9 348 9 34 9 


8 


5i 


9 6 9 4 9 6 9 5 9 6 9 6 


9697 


9 6 97 


9698 


8 


52 


9 35o 


935i 9353 


9 354 


9 355 9 356 


7 


62 


9 6 99 9700 9 7oo 


9701 


97 02 


97 o3 


7 


53 


9 35 7 


93589359 


936i 


9 362 9 363 


6 


53 


9704 9704 97 o5 9706 


977 


9707 


6 


54 


9 364 


9 365 9 366 


936 7 


93699370 


5 


54 


97o8j 9 7o 9 j 9 7io 9 7i i 


97 11 


97 12 


5 


55 


9 3 7 i 


9 3 72 ' 9 3 7 3 9 3 7 4 


9376.9377 


4 


55 


9 7i3 9 7i4 97*4 9716 


9716 


91*7 


4 


56 


9 3 7 8 


9 37 9 ' 9 38o 9 38i 


9 382 9 383 


3 


56 


9717 


97 l8 97 I 9 97 20 97 20 


972i 


3 


57 


9 384 


9 385; 9 38 79 388 


9 38 9 9 3 9 o 


2 


57 


9 722 9 723 9723 9724 9 725 


9726 


2 


58 


9 3 9 i 


939293939394 


9 3 9 6 9 3 97 


I 


58 


9 726 97 2 7 Q 7 28 97 2 9 97 2 9 97 3o 


I 


5 9 


9 3 9 8 


9 3 99 ! 9 4oo 9 4oi 


9 4o2 9 4o3 


O 


5 9 


97 3i[ 97 32 97 32 97 33 97 34 97 35 


O 




60" 


50" j 40" 


30" 20" 


10" 


. 




CO" 50" 40" 30" 20" | 10" 


. 




Co-sine of 3 Degrees. 







Co-sine of 2 Degrees. 


i 


r -Ho' 1 3 o' v 


5" 6" 7" 
1 1 1 


8" 9" 
1 1 


p p . C 1" 2" 3" 4" 5" 6" 7" V 9" 

in \ 000001111 



LOGARITHMIC TANGENTS. 



1 1 1 



.5 


Tangent of 86 Degrees. 




d 


Tangent of 87 Degrees. 




*% 


0" 


10" 


20" 


30" 


40" 


50" 




2 


0" 


10" 


20" 


30" 


40" 


50" 







1 1. 155356 


565 9 


5962 


6265 


6568 


68 7 2 


5 9 





11.280604 


IOO 7 


i4n 


1814 


22I 9 


2623 


5 9 


I 


7 i 7 5 


7479 


7784 


8088 


83 9 3 


86 97 


58 


I 


3oa8 


3433 


383 9 


4245 


4652 


5o58 


58 


2 


9002 


9 3o8 


9613 


9919 


.224 


.53o 


5 7 


2 


5466 


58 7 3 


6281 


668 9 


7 o 9 8 


7 5o 7 


57 


3 


11.160837 


n43 


i45o 


1757 


2064 


23 7 I 


56 


3 


7 9 i 7 


8326 


8 7 3 7 


9 i47 


9 558 


9970 


56 


4 


2679 


2 9 8 7 


32 9 5 


36o3 


3 9 n 


4220 


55 


4 


zz. 990882 


o 79 4 


1206 


1619 


2o33 


2446 


55 


5 


4529 


4838 


5i4 7 


545 7 


5 7 66 


6o 7 6 


54 


5 


2860 


3 27 5 


3690 


4io5 


452i 


4 9 3 7 


54 


6 


638 7 


66 97 


7008 


73i8 


7 62 9 


794 1 


53 


6 


5354 


5 77 o 


6188 


66o5 


7024 


7442 


53 


7 


8252 


8564 


88 7 6 


9188 


9 5oo 


9 8i3 


52 


7 


7861 


8280 


8700 


9120 


9 54i 


9962 


52 


8 


ii . 170126 


o43 9 


O 7 f>2 


1066 


i3 79 


i6 9 3 


5i 


8 


ii.3oo383 


o8o5 


1227 


1649 


20 7 2 


2496 


5i 


9 


2008 


2322 


2 63 7 


2 9 5i 


8267 


3582 


5o 


9 


2 9 i 9 


3344 


3 7 68 


4i93 


46i 9 


5o44 


5o 


10 


38 97 


42i3 


452 9 


4845 


5i62 


54 7 8 


4 9 


10 


547i 


58 97 


6325 


6 7 52 


7 i8o 


7608 


4 9 


1 1 


5 79 5 


6112 


643o 


6747 


7 o65 


7383 


48 


ii 


8o3 7 


8466 


8896 


9326 


9756 


.187 


48 


12 


7702 


8020 


833 9 


8658 


8 977 


9 T 97 


47 


12 


11.3/0619 


io5o 


i483 


1915 


2348 


2782 


4 7 


i3 


9616 


99 36 


.256 


.5 77 


.897 


1218 


46 


!3 


32i6 


365o 


4o85 


4520 


4g56 


5392 


46 


i4 


ii. 181539 


1860 


2182 


25o4 


2826 


3i48 


45 


i4 


5828 


6265 


6702 


7 i4o 


7 5 7 8 


8017 


45 


i5 


34?i 


3 79 3 


4n6 


444o 


4763 


5o8 7 


44 


i5 


8456 


88 9 6 


9 336 


977 6 


.217 


.65 9 


44 


16 


54n 


5 7 35 


5o5 9 


6384 


6709 


7 o34 


43 


16 


ii .3 tnoo 


1 543 


i 9 85 


2428 


28 7 2 


33i6 


43 


1? 


7 35 9 


7 685 


801 1 


833 7 


8663 


8 99 o 


42 


7 


3761 


4206 


465i 


597 


5543 


5990 


42 


18 


9 3i 7 


9 644 


997 1 


.299 


.626 


9 54 


4i 


18 


643 7 


6885 


7 333 


77 82 


8 2 3i 


8680 


4i 


J 9 


11.191283 


1611 


i 9 4o 


2269 


2 5 9 8 


2 9 28 


4o 


J 9 


Qi3o 


9 58i 


..32 


.483 


^35 


i38 7 


4o 


20 


3 2 58 


3588 


3 9 i8 


4249 


45 79 


4 9 io 


3 9 


20 


n.J.Vi84o 


22 9 3 


2 7 4 7 


32OI 


3B56 


4izi 


39 


21 


6242 


55 7 3 


6905 


6237 


6569 


6 9 02 


38 


21 


4867 


5o23 


5480 


5 9 3 7 


63 9 4 


6852 


38 


22 


7235 


7 568 


79 oi 


8235 


8568 


8 9 02 


37 


22 


7811 


777 


822 9 


8689 


9 i5o 


961 1 


3 7 


23 


9 23 7 


9 5 7 i 


9906 


.241 


.5 77 


. 9 I2 


36 


23 


1 1 . ?-4ooy2 


o534 


o 99 6 


i45 9 


I 9 23 


2 38 7 


36 


24 


II .201248 


i584 


1921 


2257 


2 5 9 4 


2 9 3i 


35 


24 


285i 


33i6 


3 7 8i 


424 7 


47i4 


5i8o 


35 


25 


3269 


36o6 


3944 


4282 


4621 


4 9 6o 


34 


25 


5648 


6116 


6584 


7 o53 


7 522 


7992 


34 


26 


5299 


5638 


5 977 


63i7 


6657 


6 997 


33 


26 


8463 


8 9 33 


9 4o5 


9877 


34 9 


.822 


33 


27 


7 338 


7 6 79 


8020 


836i 


8 7 o3 


9 o45 


32 


27 


I I. $61296 


I 77 


2244 


2 7 I 9 


3i 9 5 


3671 


32 


28 


9 38 7 


97 2 9 


..72 


.4i5 


. 7 58 


1102 


3i 


28 


4i47 


4624 


5l02 


558o 


6o5 9 


6538 


3i 


29 


n.2ix446 


i 79 o 


2134 


2479 


2823 


3i6 9 


3o 


29 


7018 


7 4 9 8 


7979 


846o 


8 9 42 


9424 


3o 


3o 


35i4 


386o 


4206 


4552 


48 9 8 


5245 


2 9 


3o 


997 


.3 9 o 


8 7 4 


i35g 


1 844 


2329 


2 9 


3i 


55 9 2 


5 9 3 9 


628 7 


6635 


6 9 83 


7 33i 


28 


3i 


ii .862816 


33o2 


3789 


42 77 


4 7 65 


5254 


28 


32 


7 68o 


8o2 9 


83 7 8 


8728 


9 o 7 8 


9 428 


2 7 


32 


5744 


6234 


6724 


7 2l5 


777 


8199 


2 7 


33 


9779 


.I2 9 


.48o 


.83i 


n83 


i534 


26 


33 


86 9 2 


9 i85 


9 6 79 


.i 7 3 


.668 


1164 


26 


34 


11.321886 


223 9 


25gi 


2944 


32 9 8 


365i 


25 


34 


11,371660 


2i56 


2654 


3i5i 


365o 


4i4g 


25 


35 


4oo5 


435 9 


4 7 i3 


5o68 


5423 


5 77 8 


24 


35 


4648 


5i48 


564 9 


6i5o 


6652 


7i54 


24 


36 


6i34 


648 9 


6845 


7202 


7 558 


79 i5 


23 


36 


7 65 7 


8161 


8665 


91-70 


9 6 7 5 


.181 


23 


3? 


82 7 3 


863o 


8988 


9 346 


97 o5 


..63 


22 


37 


n.38o68 7 


n 9 4 


1702 


2210 


2719 


3228 


22 


38 


ii .a3o422 


7 82 


n4i 


i5oi 


1861 


2222 


21 


38 


3 7 38 


424 9 


4760 


52 7 2 


5 7 85 


6298 


21 


3 9 


2583 


2 9 44 


33o5 


3667 


4o2 9 


43 9 i 


20 


3 9 


6811 


7 3a5 


7840 


8356 


88 7 2 


9388 


2O 


4o 


4 7 54 


5zz6 


548o 


5843 


62O 7 


65 7 i 


*9 


4o 


99 o6 


.424 


. 9 42 


i46i 


1981 


25oi 


I 9 


4i 


6 9 35 


7 3oo 


7 665 


8o3o 


83 9 6 


8 7 6 2 


18 


4i 


II ,3 9 3O22 


3544 


4o66 


458 9 


5n3 


563 7 


18 


4s 


9 I28 


9 4 9 5 


9861 


.22 9 


.5 9 6 


9 64 


l l 


42 


6161 


668 7 


7213 


77 4o 


826? 


8795 


17 


43 


n.a4i33a 


I 7 00 


2069 


2438 


28o 7 


3i 77 


16 


43 


9 3 2 3 


9 853 


.382 


. 9 i3 


1 444 


1976 


16 


44 


354 7 


3 9 i 7 


4288 


465 9 


5o3o 


54oi 


i5 


44 


Ii.4o25o8 


3o4i 


35 7 5 


4no 


4645 


5i8o 


i5 


45 


5 77 3 


6i45 


65i8 


68 9 i 


7264 


7 63 7 


i4 


45 


5 7 i7 


6254 


6 79 2 


7 33o 


7 86 9 


84o 9 


i4 


46 


Son 


8385 


8 7 5 9 


9 i34 


9 5o 9 


9 884 


i3 


46 


8 9 4Q 


9 4 9 o 


..32 


5 7 4 


1117 


1661 


i3 


4? 


ii .250260 


o636 


IOI2 


i38 9 


i 7 66 


2143 


12 


47 


II.4l22o5 


2 7 5l 


32 9 6 


3843 


43 9 o 


4938 


12 


48 


2521 


28 99 


32 77 


3656 


4o34 


44i4 


II 


48 


5486 


6o3fi 


6586 


7 i36 


7688 


8240 


II 


49 


4 79 3 


5i 7 3 


5553 


5 9 34 


63i5 


66 9 6 


IO 


49 


6 79 2 


q346 


9 90o 


Xf^ 


IOIO 


i566 


10 


5o 


7 o 7 8 


7 46o 


7 84a 


822^ 


86o 7 


8 99 i 


9 


5o 


II .422123 


2681 


3a4o|3 799 


4358 


4919 


9 


5i 


9 3 7 4 


9758 


.142 


.52 7 


.912 


I2 97 


8 


5i 


548o!6o42 


66o5| 7 i68 


77 33 


8298 


8 


52 


ii. 26i683 


2o6 9 


2455 


2842 


322 9 


36i6 


7 


52 


8863 


9 43o 


9997 


.565 


n33 


1702 


7 


53 


4oo4 


43 9 2 


4 7 8o 


5i6 9 


5558 


5 9 4 7 


6 


53 


11.432273 


2843 


3 4 i5 


3 9 8 7 |456o 


5i34 


6 


54 


633 7 


6 7 2 7 


7117 


7 5o8 


7899 


82 9 I 


5 


54 


5 7 o 9 


6284 


6860 


743 7 


8016 


85 9 3 


5 


55 


8683 


9 o 7 5 


9467 


9 86o 


.254 


.64 7 


4 


55 


9 I 7 2 


97 52 


.333 


. 9 i5 


1497 


2080 4 


56 


11.971041 


1435 


i83o 


2225 


2620 


3oi6 


3 


56 


11.442664 


3248 


3834 


4420 


5oo 7 


5595 


3 


57 

58 


3412 

5 79 6 


3809 
6195 


4206 
65 9 4 


46o3 
6 99 3 


5ooo 
7 3 9 3 


53 9 8 
779 3 


2 
I 


57 
58 


6i83 

97 32 


6 77 3 
.326 


7 363 79 548546 

. 9 2Ijl5l 7 21 l2 


9i38 
2711. 


2 
I 


5 9 


8i 9 4 


85958996 


9 3 97 


9799 


.202 





5 9 


II.453309 


3 9 o845o8|5io 9 !5 7 ii 


63i3 


o 




60" 


50" 40" 


30" | 20" | 10" A 


60" 50" | 40" 30" 20" 


10" 


JL 




Co-tangent of 3 Degrees. 


i 




Co-tangent of 2 Degrees. 


s 


p p < 1" 2" 3" 4" 5" 6" 7" 8" 9" 1 ( 1" 2" 3" 4" 5" 6" 7" 8" 9" 
} 35 69 104 138 173 207 242 276 311 | ir \ 48 97 145 193 242 290 338 387 435 



112 



LOGARITHMIC SINES. 



1 


Sine of 88 Degrees. 




.a 


Sine of 89 Degrees. 







0" 


10" 


20" 


30" 


40" 


50" 




m 


0" 


10" 


20" 


30" 


40" 


50" 




o 


9-999735 


9736 


97 3 7 


9738 


9738 


97 3 9 


5 9 





9.999934 


99 34 


99 35 


99 35 


99 35 


9936 


5 9 


I 


974o 


9 74o 


97 4i 


9 742 


9743 


9743 


58 


i 


9 9 36 


99 36 


99 3 7 


99 3 7 


99 3 7 


99 38 


58 


2 


9744 


97 45 


97 46 


9 746 


9747 


9748 


57 


2 


99 38 


99 3 9 


99 3 9 


99 3 9 


99 4o 


99 4o 


5 7 


3 


9 748 


9749 


97 5o 


9 75i 


97 5i 


97 52 


56 


3 


99 4o 


99 4i 


99 4i 


99 4i 


9942 


99 42 


56 


4 


9753 


9753 


9754 


9755 


9756 


9756 


55 


4 




9943 


99 43 


994 3 


9944 


9944 


55 


5 


97 5 7 


9758 


9758 


97 5 9 


9760 


9760 


54 


5 


99 44 


99 45 


9945 


9945 


9946 


9946 


54 


6 


976i 


9762 


9763 


9763 


9764 


97 65 


53 


6 


99 46 


9947 


9947 


9947 


9948 


9948 


53 


7 


9765 


9766 


9.767 


9767 


9768 


9769 


52 


7 


99 48 


9949 


9949 


9949 


99 5o 


995o 


52 


8 


9769 


9770 


9771 


977 2 


9772 


9773 


5i 


8 


99 5o 


99 5i 


99 5i 


99 5i 


99 5 2 


99 5 2 


5i 


9 


9774 


9774 


977 5 


9776 


9776 


9777 


5o 


9 


99 5 2 


99 53 


99 53 


99 53 


99 53 


9954 


5o 


IO 


9-999778 


9778 


9779 


0.780 


9780 


9781 


49 


IO 




99 54 


99 55 


99 55 


99 55 


99 56 


49 


ii 


0782 


9782 


9783 


97 84 


9784 


9785 


48 


ii 


99 56 


99 56 


99 56 


99 5 7 


99 5 7 


99 5 7 


48 


12 


9786 


9786 


9787 


97 88 


9788 


9789 


47 


12 


99 58 


99 58 


99 58 


99 5 9 


99 5 9 


99 5 9 


47 


i3 


979 


979 


9791 


979 s 


9792 


979 3 


46 


i3 


99 5 9 


9960 


99 6o 


99 6o 


99 6i 


99 6i 


46 


i4 


9794 


9794 


979 5 


979 5 


9796 


9797 


45 


i4 


99 6i 


9961 


99 62 


99 62 


99 6 2 


99 63 


45 


i5 


9797 


9798 


9799 


9799 


9800 


9 8oi 


44 


i5 


99 63 


99 63 


99 63 


9964 


99 64 


9 o64 


44 


16 


9801 


9802 


9 8o3 


9 8o3 


9804 


9 8o4 


43 


16 


99 64 


99 65 


99 65 


99 65 


99 65 


9,9,66 


43 


17 


9805 


9806 


9 8o6 9 8o7 


9808 


9808 


42 


17 


99 66 


9966 


99 6 7 


99 6 7 


99 6 7 


99 6 7 


42 


18 


9809 


9809 


9 8io 9 8n 


9811 


9 8l2 


4i 




99 68 


9968 


99 68 


99 68 


99 6 9 


99 6 9 


4i 


i 9 


9813 


9813 


9 8i4 9 8i4 


9 8i5 


9 8i6 


4o 


i 9 


99 6 9 


9969 


9970 


997 


997 


997 


4o 


20 


9.999816 


9817 


9 8i7 9 8i8 


9819 


9819 


3 9 


20 


9-999971 


9971 


9971 


9971 


9972 


997 2 


3 9 


21 


9820 


9820 


9821 9822 


9 822 


9 823 


38 


21 


9972 


9972 


997 3 


997 3 


9973 


9973 


38 


22 


9824 


9824 


9825(9825 


9 826 


0827 


37 


22 


9973 


9974 


9974 


9974 


9974 


9 97 5 


3 7 


23 


9827 


9828 


98289829 


9 82 9 


9 83o 


36 


23 


997 5 


9975 


997 5 


9976 


9976 


9976 


36 


24 


9 83i 


983i 


9 832| 9 832 


9 833 


9 834 


35 


24 


9976 


9976 


9977 


9977 


9977 


9977 


35 


25 


9 834 


9 835 


9 835| 9 836 


9 836 


9 83 7 


34 


25 


9977 


9978 


9978 


9978 


9978 


9979 


34 


26 


9 838 


9 838 


9 83 9 ' 9 83 9 


9 84o 


9 84o 


33 


26 


9979 


9979 


9979 


9979 


99 8o 


9980 


33 


27 


9 84i 


9 842 


9 842' 9 843 


9 843 


9 844 


32 


27 


99 8o 


9980 


9980 


9981 


99 8i 


9981 


32 


28 


9 844 


9 845 


9 846 i9 846 


9 84 7 


9 847 


3i 


28 


998i 




9982 


9982 


99 82 


9982 


3i 


29 


9 848 


9 848 


9 84 9 ! 9 84 9 


9 85o 


9 85i 


3o 


2 9 


99 8 2 


9983 


99 83 


99 83 


99 83 


99 83 


3o 


3o 


9 . 999 85i 


9 852 


9 852 : 9 853 


9 853 


9 854 


2 9 


3o 


9 . 9999 83 


99 84 


9984 


99 84 


99 84 


9984 


29 


3i 


9 854 


9 855 


9 856 9 856 


9 85 7 


9 85 7 


28 


3i 


99 85 


99 85 


99 85 


99 85 


99 85 


99 85 


28 


32 


9 858 


9 858 


9859*9859 


9 86o 


9 86o 


2 7 


32 


99 86 


9986 


99 86 


99 86 


99 86 


99 86 


27 


33 


9 86i 


9861 


9862 9863 


9 863 


9 864 


26 


33 


99 8 7 


9987 


9987 


9987 


9987 


9987 


26 


34 


9 864 


9 865 


9 865 9866 


9 866 


9867 


25 


34 


99 88 


9988 


9988 


9988 


99 88 


99 88 


25 


35 


9 86 7 


9868 


98689869 


9 86 9 


9870 


24 


35 


9989 


9989 


9989 


9989 


99 8 9 


9989 


24 


36 


9 8 7 o 


9871 


9871 9872 


9 872 


9873 


23 


36 


99 8 9 


999 


9990 


999 


999 


999 


23 


37 


9 8 7 3 


9874 


98749875 


9875 


9876 


22 


3 7 


999 


999 


999 * 


9991 


9991 


9991 


22 


38 


9876 


9877 


9877,9878 


9 8 7 8 


9879 


21 


38 


999 i 


9991 


9991 


9992 


9992 


9992 


21 


3 9 


9879 


9880 


9880 9881 


9 88i 


0882 


2O 


3 9 


999 2 


9992 


9992 


9992 


9992 


999 3 


2O 


4o 


9 . 999 882 


9883 


98839884 


9 884 


9 885 


'9 


4o 


9-99999 3 


999 3 


999 3 


999 3 


999 3 


999 3 


*9 


4i 


9 885 


9886 


98869887 


9 887 


9 888 


18 


4i 


999 3 


999 3 


9994 


9994 


9994 


9994 


18 


42 


9888 


9889 


9889 9890 


9 8 9 o 


9891 


17 


42 


9994 


9994 


9994 


9994 


9994 


999 5 


17 


43 
44 
45 


9891 
9894 
9897 


9892 
9894 
9897 


9892 9892 9893 
9 8 9 5 9 8 9 5 9 8 9 6 
9 8 9 8 9 8 9 8 9 8 9 8 


9 8 9 3 
9 8 9 6 
9899 


16 
i5 
i4 


43 
44 
45 


999 5 
999 5 
999 6 


999 5 
999 5 
999 6 


999 5 
999 5 
9996 


999 5 
999 6 
999 6 


999 5 
9996 
9996 


999 5 
9996 
9996 


16 
i5 
i4 


46 


9 8 99 


9900 


99 oo 99 oi 


99 oi 


99 02 


i3 


46 


999 6 


999 6 


9997 


9997 


9997 


9997 


i3 


47 


99 O2 


99 3 


99 o3 9903 9904 


99 o4 


12 


4 7 


9997 


9997 


9997 


9997 


9997 


9997 


12 


48 


99 o5 


99 o5 


9906 9906 9906 


997 


II 


48 


9997 


9997 


9997 


999 8 


999 s 


9998 


II 


49 


997 


9908 


9908 9909 


999 


99 io 


IO 


49 


999 8 


999 8 


9998 


9998 


9998 


9998 


10 


5o 


9-9999 10 


9910 


9911 9911 


9912 


99 I2 


9 


5o 


9-999998 


999 8 


9998 


9998 


999 s 


999 8 


9 


5i 

52 


99 i3 
99 i5 


99I 3 
99 i5 


99139914 
9916 9916 


99 i4 
9917 


99 i5 
99 i 7 


7 


5i 

52 


9999 
9999 


9999 
9999 


9999 
9999 


9999 
9999 


9999 
9999 


9999 
9999 


8 
7 


53 


99 i8 


99 i8 


9918 


9919 


9919 


9920 


6 


53 


9999 


9999 


9999 


9999 


9999 


9999 


6 


54 


99 2O 


9920 


9921 


9921 


9922 


99 22 


5 


54 


9999 


9999 


9999 


9999 


9999 




5 


55 


99 22 


99 23 


9923 


9924 


9924 


99 24 


4 


55 


o.oooooo 


oooo 


oooo 


oooo 


oooo 


oooo 


4 


56 


99 25 


99 25 


9926 


9926 


9926 


9927 


3 


56 


oooo 


oooo 


oooo 


oooo 


oooo 


oooo 


3 


57 


9927 


9927 


9928 


99289929 


9929 


2 


57 


oooo 


oooo 


oooo 


oooo 


oooo 


oooo 


2 


58 


99 2 9 


9930 


99 3o 


99 3i 9 93i 


99 3i 


I 


58 


oooo 


oooo 


oooo 


oooo 


oooo 


oooo 


I 


5 9 


99 32 


99 3 2 


99 32 


9 9 33| 99 33 


99 33 


O 


59 


oooo 


oooo 


oooo 


oooo 


oooo 


oooo 







60" 


50" 


40" 


30" 20" 


10" 


. 




60" 


50" 


40" 


30" 


20" 


10" 


d 




Co-sine of 1 Degree. 


S 




Co-sine of Degree. 


.3 

s 


.( 1" 2" 3" 4" 5" 6" 7'' 8" 9" 
1 $0000 00 001 


p p .< 1" 2" 3" 4" 5" 6" 7" 8" 9" 

irl Jo ooo oo ooo 



LOGARITHMIC TANGENTS. 



1 


Tangent of 88 Degrees. 




P. Part 


7Z 


0" 


10" 


20" 


30" 


40" 


50" 




tol". 


o 


11.456916 


ii .457520 


ii. 458i25 


II.45873I 


n.45|338 


11.459945 


5 9 


60.6 


I 


46o553 


46n63 


46i 77 3 


462383 


46^905 


4636o8 


58 


61.1 


2 


464221 


464836 


46545i 


466067 


466684 


46 7 3o2 


5 7 


61.6 


3 


467920 


46854o 


469160 


469782 


4 7 o4o4 


4 7 I02 7 


56 


62.2 


4 


47i65i 


472276 


472902 


473528 


474i56 


4 7 4 7 85 


55 


62. 7 


5 


4754i4 


476044 


476676 


4773o8 


4779^1 


4 7 85 7 5 


54 


63.3 


6 


479210' 


479846 


480482 


481120 


481759 


482398 


53 


63.8 


7 


483o39 


48368o 


484323 


484966 


4856n 


486256 


52 


64.4 


8 


486902 


487549 


488198 


488847 


489497 


490148 


5i 


65.o 


9 


490800 


49i453 


492107 


492762 


493418 


494o 7 5 


5o 


65.5 


10 


H.494733 


11.495392 


ii .496052 


11.496713 


11.497375 


11.498038 


4 9 


66.1 


ii 


498702 


499367 


5ooo33 


500700 


5oi368 


5o2o3 7 


48 


66.8 


12 


502707 


5o33 7 8 


5o4o5i 


5o4 7 24 


5o53 9 8 


5o6o 7 3 


47 


67^4 


i3 


506750 


507427 


5o8io6 


5o8 7 85 


5o 9 466 


5ioi48 


46 


68.0 


i4 


5io83o 


5u5i4 


512199 


5i2885 


5i3572 


514260 


45 


68.6 


i5 


5i4g5o 


5i564o 


5i633i 


5i 7 o24 


517717 


5i84i2 


44 


6 9 .3 


16 


519108 


519805 


52o5o3 


52I2O2 


521903 


522604 


43 


7 o.o 


J 7 


523307 


524oio 


5247i5 


525421 


526128 


5 2 683 7 


42 


7 -7 


18 


52 7 546 


528257 


528969 


529682 


53o3 9 6 


53iin 


4i 


7i.i 


'9 


53i828 


532545 


533264 


533984 


5347o5 


535428 


4o 


7 2.1 


20 


n.536i5i 


11.536876 


11.537602 


ii.53833o 


ii. 539058 


11.539-788 


3 9 


7 2.8 


21 


54o5i9 


54i25i 


541984 


542 7 i9 


543455 


544192 


38 


7 3.5 


22 


54493o 


5456 7 o 


5464n 


54 7 i53 


547896 


54864i 


37 


74.3 


23 


54 9 38 7 


55oi34 


55o883 


55i63 2 


552384 


553i36 


36 


75.0 


24 


553890 


554645 


5554oi 


556i5 9 


556918 


55 7 6 7 8 


35 


7 5.8 


25 


55844o 


559203 


559967 


56o 7 33 


56i5oo 


562268 


34 


76.6 


26 


563o38 


563809 


56458i 


565355 


566 i 3o 


5669O 7 


33 


77 .5 


2 7 


567685 


568464 


569245 


5 7 OO2 7 


5 7 o8n 


5 7 i596 


32 


7 8.3 


28 


5 7 2382 


5 7 3i 7 o 


5 7 3 9 5 9 


5 7 4 7 5o 


5 7 5542 


5 7 6336 


3i 


7 9 .i 


2 9 


5 77I 3i 


5779*8 


578726 


579525 


58o326 


58ii28 


3o 


80.0 


3o 


11.581932 


n.582 7 3 7 


n.583544 


n.584353 


n.585i63 


n.5859 7 4 


2 9 


80.9 


3i 


586787 


5876-01 


5884i7 


589235 


590054 


5908-74 


28 


81.8 


32 


591696 


592520 


593345 


594172 


595000 


5 9 583o 


2 7 


82.8 


33 


596662 


597495 


SgSSSo 


599166 


6oooo4 


6oo844 


26 


83. 7 


34 


6oi685 


602528 


603372 


604218 


6o5o66 


605915 


25 


84. 7 


35 


606766 


6o 7 6i9 


608474 


609330 


6ioi8 7 


6iio4 7 


24 


85. 7 


36 


611908 


6i2 77 i 


6i3636 


6i45o2 


6i53 7 o 


616240 


23 


86.7 


3? 


617111 


61-7985 


618860 


6i9 7 3 7 


620615 


621496 


22 


87.8 


38 


622378 


623262 


624147 


625o35 


625924 


626815 


21 


88.8 


3 9 


627708 


628603 


629500 


630399 


631299 


6322OI 


2O 


89.9 


4o 


n.633io5 


ii .634oi2 


ii .634919 


11.635829 


n.636 7 4i 


n.63 7 655 


I 9 


91.1 


4i 


638570 


639488 


640407 


64i329 


642252 


643i 77 


18 


92.2 


42 


644io5 


645o34 


645 9 65 


646899 


64 7 834 


648 77 i 


J 7 


93.4 


43 


649711 


65o652 


65i595 


65254i 


653488 


654438 


16 


94.6 


44 


655390 


656343 


657299 


65825 7 


6592i 7 


6601-79 


i5 


9 5. 9 


45 


66u44 


662110 


663079 


664o5o 


665o23 


665 99 8 


i4 


97- 2 


46 


666 97 5 


667<}55 


668 9 36 


669920 


6 7 O9O 7 


6-71895 


i3 


9 8.5 


4? 


672886 


673579 


6 7 48 7 4 


675871 


676871 


677873 


12 


oo. 8 


48 


678878 


6 7 9885 


680894 


681905 


682919 


683935 


II 


loi.S 


49 


684954 


6859 7 5 


686998 


688024 


689052 


690083 


IO 


102.7 


5o 


ii .691 116 


11.692151 


ii .693189 


ii .694230 


11.695273 


11.696318 


9 


104.2 


5i 


6 97 366 


698417 


699470 


700526 


7oi584 


-702645 


8 


105.7 


52 


703708 


704774 


705843 


706914 


707988 


709065 


7 


107.2 


53 


710144 


711226 


712311 


713398 


714488 


7 i558i 


6 


108.9 


54 


716677 


7 i 777 5 


718876 


719980 


721087 


-722196 


5 


no. 5 


55 


723309 


724424 


725542 


726663 


727787 


-728914 


4 


112 2 


56 


73oo44 


731176 


7323i2 


7 3345i 


734592 


735737 


3 


ii4-o 


5? 


7 36885 


7 38o35 


7 3 9 i8 9 


7 4o346 


7 4i5o6 


-742669 


2 


ii5.8 


58 


743835 


745oo4 


746177 


7 4 7 352 


7 4853i 


74971 3 


I 


117.7 


5 9 


750898 


752087 


753279 


7 544 7 4 


7 556 7 2 


7 568 7 4 





119.7 




60" 


50" 40" 


30" 20" 10" 


. 






Co-tangent of 1 Degree. 





1 



114 



AUXILIARY TABLE FOR SINES, & c. 



1 


1 


Degree. 




1 


1 


1 Degree. 




I 


1 


log. sin. A 
log. A". 


log. tan. A 
log. A". 


log. cot A+ 
log. A". 




1 


i 


log. sin. A 
log. A". 


log. tan. A 
log. A". 


log. cot A+ 
log. A". 




o 





4.6855 7 5 


4.685575 


i5.3i4425 


60 


36oo 





4.685553 


4.685619 


i5.3i438i 


60 


60 


I 


5 7 5 


5 7 5 


425 


5 9 


366o 


I 


55 2 


620 


38o 


5 9 


120 


2 


5 7 5 


5 7 5 


425 


58 


3720 


2 


55i 


622 


3 7 8 


58 


1 80 


3 


5 7 5 


5 7 5 


425 


57 


3 7 8o 


3 


55i 


623 


377 


57 


240 


4 


5 7 5 


5 7 5 


425 


56 


384o 


4 


55o 


625 


3 7 5 


56 


3oo 


5 


5 7 5 


5 7 5 


425 


55 


3900 


5 


54 9 


627 


3 7 3 


55 


36o 


6 


5 7 5 


5 7 5 


425 


54 


3960 


6 


548 


628 


3 7 2 


54 


420 


7 


5 7 5 


5 7 5 


4*5 


53 


4020 


7 


54 7 


63o 


3 7 o 


53 


48o 


8 


5 7 4 


576 


424 


52 


4o8o 


8 


54 7 


63 2 ] 368 


52 


54o 


9 


5 7 4 


5 7 6 


424 


5i 


4i4o 


9 


546 


6331 36? 


5i 


600 


10 


4.6855 7 4 


4.6855 7 6 


i5.3i4424 


5o 


4200 


10 


4.685545 


4.685635 


i5.3i4365 


5o 


660 


ii 


5 7 4 


576 


424 


49 


4260 


ii 


544 


63 7 


363 


49 


720 


12 


5 7 4 


5 77 


423 


48 


4320 


12 


543 


638 


362 


48 


780 


i3 


5 7 4 


5 77 


423 


47 


438o 


1 3 542 


64o 


36o 


47 


84o 


i4 


5 7 4 


5 77 


423 


46 


444o 


i4 


54i 


642 


358 


46 


900 


i5 


5 7 3 


5 7 8 


422 


45 


45oo 


i5 


54o 


644 


356 


45 


960 


16 


5 7 3 


5 7 8 


422 


44 


456o 


16 


53 9 


646 


354 


44 


IO2O 


r 7 


5 7 3 


5 7 8 


422 


43 


4620 


17 


53 9 


647 


353 


43 


I080 


18 


5 7 3 


5 79 


421 


42 


468o 


18 


538 


649 


35i 


42 


n4o 


i 9 


5 7 3 


5 79 


421 


4i 


474o 


'9 


53 7 


65i 


349 


4i 


1 200 


20 


4.6855 7 2 


4.68558o 


i5.3i442o 


4o 


48oo 


20 


4.685536 


4.685653 


i5.3i4347 


4o 


1260 


21 


5 7 2 


58o 


420 


3 9 


486o 


21 


535 


655 


345 


3 9 


1320 


22 


5 7 2 


58i 


4i 9 


38 


4920 


22 


534 


65 7 


343 


38 


i38o 


23 


5 7 2 


58i 


4i 9 


37 


4980 


23 


533 


65 9 


34i 


37 


i44o 


24 


5 7 i 


582 


4i8 


36 


5o4o 


24 


532 


661 


33 9 


36 


i5oo 


25 


5 7 i 


583 


417 


35 


5ioo 


25 


53i 


663 


33 7 


35 


i56o 


26 


5 7 i 


583 


4i 7 


34 


5i6o 


26 


53o 


665 


335 


34 


1620 


2 7 


5 7 o 


584 


4i6 


33 


5220 


27 


52 9 


668 


332 


33 


1680 


28 


5 7 o 


584 


4x6 


32 


5280 


28 


52 7 


670 


33o 


32 


1740 


29 


5 7 o 


585 


4x5 


3i 


534o 


29 


5 2 6 


672 


3 2 8 


3i 


1800 


3o 


4.68556 9 


4.685586 


i5.3i44i4 


3o 


54oo 


3o 


4.685525 


4.6856 7 4 


i5.3i43 2 6 


3o 


1860 


3i 


56 9 


58 7 


4x3 


29 


546o 


3i 


524 


676 


324 


2 9 


1920 


32 


56 9 


587 


4x3 


28 


5520 


32 


5 2 3 


679 


321 


28 


1980 


33 


568 


588 


4X9 


27 


558o 


33 


522 


681 


3i 9 


27 


2O4O 


34 


568 


58 9 


4n 


26 


564o 


34 


521 


683 


3i 7 


26 


2IOO 


35 


56 7 


5 9 o 


4io 


25 


5700 


35 


520 


685 


3i5 


25 


2l6o 


36 


56 7 


5 9 i 


4o 9 


24 


5 7 6o 


36 


5i8 


688 


312 


24 


2220 


37 


566 


592 


4o8 


23 


5820 


3? 


5i 7 


690 


3io 


23 


2280 


38 


566 


5 9 3 


407 


22 


588o 


38 


5i6 


6 9 3 


3o 7 


22 


234o 


3 9 


566 


5 9 3 


407 


21 


5940 


3 9 


5i5 


695 


3o5 


21 


s4oo 


4o 


4.685565 


4.6855 9 4 


i5.3i44o6 


2O 


6000 


4o 


4.6855i4 


4.685697 


i5.3i43o3 


2O 


2460 


4i 


565 


5 9 5 


4o5 


'9 


6060 


4i 


5 I2 


700 


3oo 


'9 


2520 


42 


564 


5 9 6 


4o4 


18 


6120 


42 


5n 


702 


298 


18 


258o 


43 


564 


5 9 8 


4O2 


17 


6180 


43 


5io 


7 o5 


295 


17 


2640 


44 


563 


5 99 


4oi 


16 


6240 


44 


5o 9 


707 


2 9 3 


16 


2700 


45 


562 


600 


4oo 


i5 


63oo 


45 


5o 7 


710 


290 


i5 


2760 


46 


562 


601 


3 99 


i4 


636o 


46 


5o6 


7 i3 


287 


i4 


2820 


47 


56i 


602 


3 9 8 


i3 


6420 


47 


5o5 


7 i5 


285 


i3 


2880 


48 


56i 


6o3 


3 97 


12 


648o 


48 


5o3 


718 


282 


12 


2940 


49 


56o 


6o4 


3 9 6 


II 


654o 


49 


502 


720 


280 


I I 


3ooo 


5o 


4.68556o 


4.6856o5 


i5.3i43 9 5 


10 


6600 


5o 


4.6855oi 


4.685 7 23 


i5. 314277 


10 


3o6o 


5i 


55 9 


607 


3 9 3 


9 


6660 


Si 


499 


726 


274 


9 


3l20 


52 


558 


608 


3 9 2 


8 


6720 


52| 4 9 8 


729 


271 


8 


3i8o 


53 


558 


6o 9 


3 9 i 


7 


6780 


53 


497 7 3 i 


269 


7 


8240 


54 


55 7 


6x1 


38 9 


6 


684o 


54 


495 


7 34 


266 


6 


33oo 


55 


556 


612 


388 


5 


6900 


55 


494 


737 


263 


5 


336o 


56 


556 


6i3 


387 


4 


6960 


56 492 


740 


260 


4 


3420 


5 7 


555 


6i5 


385 


3 


7020 


5 7 


491 


743 


257 


3 


348o 


58 


554 


616 


384 


2 


7080 


58 


490 


7 45 


2 55 


2 


354o 


5 9 554 


618 


38 2 


I 


7140 


5 9 


488 


748 


252 


I 


'log. cos. A 


log. eot A 


log. tan, A-f 


* 




log. co. A log. cot A 


log. tan. A+ 







log. c. A". 


log. c. A". 


log. c. A." 


1 




log. c. A". 


log. c. A". 


log. c. A". 



s 




89 Degrees. 


.9 

53 




88 Degrees. 


.3 



LOGARITHMIC TANGENTS, 



i 


Tangent of 89 Degrees. 




P. Part 


H 


0" 


10" 20" 


30" 


40" 


50" 




tol". 





11.758079 


11.759287 


II .760498 


ii .761714 


II .762932 


n. 7 64i54 


5 9 


121.7 


i 


7 653 79 


766608 


767840 


769076 


77o3i5 


77 i558 


58 


123.8 


2 


772805 


774o55 


7753o8 


776566 


777826 


7799 I 


5 7 


125.9 


3 


780359 


7 8i63i 


782907 


784186 


785470 


7 86 7 5 7 


56 


128.1 


4 


788047 


789342 


790641 


791943 


79325o 


79 456o 


55 


i3o.4 


5 


79^874 


797192 


7985i5 


799841 


801171 


8o25o6 


54 


132.8 


6 


8o3844 


805187 


8o6534 


807885 


809240 


810600 


53 


x55.3 


7 


811964 


8i3332 


814704 


816081 


817462 


8i884 7 


52 


137-9 


8 


820237 


821632 


823o3i 


824434 


825842 


8 27 255 


5i 


i4o.6 


9 


828672 


830094 


83i52o 


832951 


834387 


835828 


5o 


i43.4 


10 


11.837273 


11.838724 


11.840179 


ii.84i639 


n.843io4 


n.844574 


4 9 


146.2 


II 


846o48 


84?528 


849013 


85o5o3 


85i 999 


853499 


48 


i49.3 


12 


855oo4 


8565i5 


858o3i 


85 9 553 


861079 


862611 


47 


i5 2 .4 


i3 


864149 


865692 


867240 


868794 


870354 


871919 


46 


i55.7 


i4 


873490 


875067 


876649 


878237 


879831 


88i43i 


45 


i5 9 .i 


i5 


883o37 


884648 


886266 


887890 


889519 


891155 


44 


162.7 


16 


892797 


894446 


896100 


897761 


899429 


901103 


43 


166.4 


17 


902783 


904470 


906163 


907863 


909569 


911283 


42 


170.3 


18 
'9 


9i3oo3 
923469 


914730 
925239 


916464 
927015 


918205 
928799 


9 i 99 53 
930590 


921707 
932388 


4i 
4o 


174.4 
178.7 


20 


11.934194 


11.936008 


ii .937829 


11.939658 


11.941494 


H.943338 


3 9 


i83.3 


21 


945191 


94?o5 i 


948919 


950795 


952679 


954572 


38 


188.0 


22 


9 56473 


958382 


960299 


962225 


964160 


966103 


37 


193.0 


23 


9 68o55 


970016 


97 i 9 86 


97 3 9 65 


975952 


977949 


36 


198.3 


24 


97 99 56 


981971 


983996 


9 86o3o 


988074 


990128 


35 


203.9 


25 


992191 


994264 


996347 


99 844o 


I2.ooo543 


12.002657 


34 


209.8 


26 


12.004781 


12.006915 


12.009060 


I2.OII2l5 


oi3382 


oi555 9 


33 


216.2 


27 


017747 


019946 


O22l56 


024378 


026611 


028855 


32 


222.7 


28 


o3mi 


033379 


o3565 9 


o3 79 5i 


o4o255 


042672 


3i 


229.8 


2 9 


044900 


047242 


049596 


o5i 9 63 


o54342 


o56 7 35 


3o 


237.3 


3o 


12.059142 


I2.o6i56i 


12.063994 


12.066441 


12.068902 


I2.0 7 l3 77 


2 9 


245.4 


3i 


o 7 3866 


076369 


078887 


o8i4i 9 


083966 


o8652 9 


28 


254.O 


32 


089106 


091699 


094308 


o 9 6 9 32 


099572 


102228 


27 


263.2 


33 


104901 


107590 


110296 


n3oi9 


115760 


n85i 7 


26 


273.2 


34 


121292 


I24o85 


126896 


129726 


132574 


i 3544o 


25 


283.9 


35 


138326 


I4l23l 


i44i56 


147100 


i5oo65 


i53o5o 


24 


2 9 5.4 


36 


i56o56 


159082 


i62i3o 


i65i 99 


168290 


I 7 i4o4 


23 


3o8.o 


37 


i7454o 


177698 


180880 


i84o85 


i8 7 3i4 


I 9 o56 7 


22 


321.7 


38 


193845 


197148 


200476 


2o383o 


207210 


210616 


21 


336. 7 


3 9 


2i4o4 9 


217510 


220998 


2245i5 


228060 


23i635 


2O 


353.1 


4o 


12.235239 


I2.2388 7 3 


12.242538 


12.246235 


12.249963 


I2.253 7 23 


'9 


371.2 


4i 


257516 


261342 


2652o3 


269098 


2 7 3028 


2 7 6 99 5 


18 


391.3 


42 


280997 


285o37 


289115 


293232 


29 7 388 


3oi584 


17 


4i3.6 


43 


3o582i 


Sioioo 


3i4422 


318787 


323196 


32 7 65o 


16 


438. 7 


44 


332i5i 


336698 


341294 


345939 


35o634 


. 35538i 


i5 


467.0 


45 


36oi8o 


365o32 


369940 


374903 


379924 


385oo4 


i4 


499.2 


46 


390143 


3 9 5345 


400609 


4o5 9 38 


4n333 


4i6 79 6 


i3 


536.2 


4? 


422328 


427932 


4336io 


439362 


445192 


45noo 


12 


5 7 9i 


48 


457091 


463i65 


46 9 3 2 5 


475574 


481915 


48834 9 


II 


629.4 


49 


494880 


5oi5io 


5o8244 


5i5o83 


522032 


529094 


10 


68 9 .4 


5o 


12.536273 


12.543572 


12.550996 


12.558549 


12.566236 


I2.5 7 4o6i 


9 




5i 


582o3o 


590148 


5 9 842i 


6o6854 


6i5454 


624228 


8 




52 


633i83 


642327 


651667 


661212 


6 7 O9 7 2 


68o 9 56 


7 




53 


691175 


701641 


712365 


72336o 


7 3464i 


7 46223 


6 




54 


758122 


770357 


782946 


795911 


8o 9 2 7 5 


8 2 3o63 


5 




55 


8373o4 


852O2 7 


867267 


, 883o6i 


899452 


9 i 6485 


4 




56 


934214 


952697 


972002 


992208 


i3.oi3395 


i3.o356 7 i 


3 




5 7 


i3.o5 9 i53 


13.083976 


i3.no3o5 


i3. 138334 


i6829 7 


200482 


2 




58 


235244 


273032 


3i4425 


36oi83 


4n335 


46 9 32 7 


I 




5 9 


5362 7 4 


6i5455 


712365 


83 7 3o4 


i4.oi3395 


i4.3i4425 









60" 


50" 


40" 


30" 


90" 


10" 


c 






Co-tangent of Degree. 


i 





1 16 



NATURAL SINES. 



.5 

X 





1 


2 


3 


4 


5 


6 


7 


8 


9 




o 


oooooo 


017452 


034899 


o52336 069756 


o8 7 i56 


104528 


121869 


i3 9I7 3 


i56434 


60 


I 


0291 


7743 


5190 


2626 


070047 


7446 


48i8 


2i58 


946i 


6722 


5 9 


2 


o582 


8o34 


548 1 


2917 


o33 7 


77 35 


5107 


2447 


9749 


7009 58 


3 


0873 


83 2 5 


5 77 2 


3207 


0627 


8025 


53 9 6 


2 7 35 


140037 


7296 57 


4 


1164 


8i6 


6062 


3498 


0917 


83i5 


5686 


3024 


o325 


7584 


56 


5 


1454 


8907 


6353 


3 7 88 


1207 


86o5 


5 97 5 


33i3 


o6i3 


7871 


55 


6 


1745 


9197 


6644 


4079 


1497 


88 9 4 


6264 


36oi 


0901 


8i58 


54 


7 


ao36 


9 488 


6 9 34 


436 9 


1788 


9184 


6553 


3890 


1189 


8445 


53 


8 


2327 


9779 


7225 


466o 


2078 


9474 


6843 


4i79 


1477 


8 7 32 


52 


9 


2618 


020070 


?5i6 


495o 


2368 


9763 


7132 


446 7 


1765 


9020 


5i 


10 


002909 


O2o36i 


037806 


o5524i 


072658 


ogooSS 


107421 


124756 


i42o53 


159307 


5o 


ii 


32OO 


o652 


8097 


553i 


2948 


o343 


7710 


5o45 


234l 


9594 


49 


12 


3491 


0942 


8388 


5822 


3 2 38 


o633 


7999 


5333 


2629 


9881 


48 


i3 


3782 


1233 


8678 


6112 


35 2 8 


0922 


8289 


5622 


2917 


160168 


47 


i4 


4072 


i5a4 


8969 


6402 


38i8 


1212 


85 7 8 


5 9 io 


3 2 o5 


o455 


46 


i5 


4363 


i8i5 


9260 


66 9 3 


4io8 


i5o2 


8867 


6199 


34 9 3 


o 7 43 


45 


16 


4654 


2106 


955o 


6983 


43 99 


1791 


9i56 


6488 


3 7 8o 


io3o 


44 


17 


4945 


2 3 97 


984i 


7274 


468 9 


2081 


9445 


6776 


4o68 


i3i 7 


43 


18 


5236 


2687 


o4oi32 


7564 


4979 


2371 


9734 


7o65 


4356 


1604 


42 


'9 


552 7 


2978 


0422 


7 854 


5269 


2660 


IIOO23 


7353 


4644 


1891 


4i 


20 


oo58i8 


023269 


040713 


o58i45 


o 7 555 9 


092950 


Iio3i3 


127642 


144932 


162178 


4o 


21 


6109 


356o 


1004 


8435 


584n 


3 2 3 9 


0602 


79 3o 


5220 


a465 


3 9 


22 


63 99 


385i 


1294 


8726 


6i3<, 


3529 


0891 


8219 


55o 7 


2 7 52 


38 


23 


6690 


4i4i 


i585 


9016 


6429 


38i 9 


1180 


85o 7 


5 79 5 


3o3 9 


37 


24 


6981 


4432 


1876 


93o6 


6719 


4io8 


1469 


8796 


6o83 


3326 


36 


25 


7272 


4723 


2166 


9 5 97 


7009 


43 9 8 


i 7 58 


9 o84 


63 7 i 


36i3 


35 


26 


7563 


5oi4 


245 7 


9887 


7299 


468 7 


2047 


9 3 7 3 


6659 


3900 


34 


27 


7854 


53o5 


2 7 48 


060177 


7 58 9 


4977 


2336 


9661 


6946 


4i8 7 


33 


28 


8i45 


55 9 5 


3o38 


o468 


7879 


5267 


2625 


9949 


7334 


44?4 


32 


29 


8436 


5886 


332 9 


0758 


8169 


5556 


2914 


i3o238 


7522 


4761 


3i 


3o 


008727 


026177 


043619 


o6io4 9 


078459 


095846 


u32o3 


i3o526 


147809 


i65o48 


3o 


3i 


9017 


6468 


3910 


i33 9 


8749 


6i35 


3492 


o8i5 


8097 


5334 


29 


32 


93o8 


6 7 5 9 


4201 


1629, 


9 o3 9 


6425 


3781 


no3 


8385 


562i 


28 


33 


9 5 99 


7049 


449i 


1920 


9 32 9 


6 7 i4 


4070 


i3 9 i 


8672 


5908 


27 


34 


9890 


734o 


4782 


22IO 


9 6l 9 


7004 


435 9 


1680 


8960 


6i 9 5 


26 


35 


010181 


763i 


5073 


25oo 


999 


7293 


4648 


1968 


9248 


648a 


25 


36 


0472 


7922 


5363 


2791 


o8oi 99 


7 583 


4 9 3 7 


2256 


9 535 


6769 


24 


3? 


o 7 63 


8212 


5654 


3o8i 


o48 9 


7872 


5226 


2545 


9 8 2 3 


7o56 


23 


38 


io54 


85o3 


5944 


33 7 i 


07 7 9 


8162 


55i5 


2833 


i5om 


7342 


22 


3 9 


1 344 


8 79 4 


6235 


366i 


io6 9 


845 1 


58o4 


3l2I 


o3 9 8 


762-; 


21 


4o 


oii635 


029085 


o46525 


063952 


081359 


098741 


n6o 9 3 


i334io 


i5o686 


167916 


2O 


4i 


1926 


9 3 7 5 


6816 


4242 


1649 


9o3o 


6382 


3698 


o 97 3 


8 2 o3 


*9 


42 


2217 


9666 


7106 


453s 


1939 


9 320 


6671 


3986 


1261 


848 9 


18 


43 


25o8 


99 5 7 


7397 


4823 


2228 


9 6o 9 


6960 


4274 


1 548 


8776 


7 


44 


2799 


o3o248 


7688 


5n3 


2 5i8 


9 8 99 


724 9 


4563 


i836 


9 o63 


16 


45 


3090 


0539 


7978 


54c3 


2808 


100188 


7 53 7 


485i 


2123 


9 35o 


i5 


46 


338o 


0829 


8269 


5693 


3098 


o477 


7826 


5i3 9 


2411 


9636 


i4 


4? 


36 7 i 


1120 


855 9 


5 9 84 


3388 


0767 


8n5 


5427 


26 9 8 


99 23 


i3 


48 


3962 


i4n 


885o 


6274 


36 7 8 


io56 


84o4 


5 7 i6 


2 9 86 


170209 


12 


49 


4253 


1702 


9140 


6564 


3968 


1 346 


86 9 3 


6oo4 


32 7 3 


o4 9 6 


II 


5o 


oi4544 


031992 


o4943i 


o66854 


o84258 


ioi635 


118982 


136292 


i5356i 


170783 


10 


5i 


4835 


2283 


9721 


7i45 


4547 


1924 


9270 


658o 


3848 


1069 


9 


52 


5i26 


25 7 4 


o5ooi2 


7435 


483 7 


22l4 


9 55 9 


6868 


4i36 


i356 


8 


53 


54i6 


2864 


0302 


7725 


5127 


25o3 


9 848 


7 i56 


4423 


i643 


7 


54 


5 7 o 7 


3i55 


oSgS 


8oi5 


54i7 


2793 


120137 


7445 


4710 


1929 


6 


55 


5998 


3446 


o883 


83o6 


5707 


3082 


0426 


77 33 


4998 


2216 


5 


56 


6289 


3 7 3 7 


H74 


8596 5997 


33 7I 


0714 


8021 


5285 


a5o2 


4. 


5 7 


658o 


4027 


1 464 


8886 6286 


366i 


ioo3 


83o 9 


55 7 2 


3789 


3 


58 


6871 


43i8 


i 7 55 


91761 6576 


3 9 5o 


1292 


8597 


586o 


8075 


a 


5 9 


7162 


4609 


2o45 


9466J 6866 


423 9 


i58i 


8885 


6147 


3362 


i 




89 


88 


87 


86 85 


84 


83 


82 


81 


80 


fl 




Natural Co-sines. 


ifl 

S 


P. P. , ., 

tol> 85 


4.85 


4.84 


4.84 


4.83 


4.83 


4.82 


4.8i 


4.8o 


4.78 





NATURAL TANGENTS. 



117 



1 





1 


2 


3 


4 


5 


6 


7 


8 


9 




o 


oooooo 


017455 


034921 


o524o8 


o6 99 27 


087480. 


io5io4 


122785 


i4o54i 


i58384 


60 


I 


0291 


7746 


5212 


26 99 


O7O2I 9 


7782 


53 9 8 


3o8o 


o83 7 


8683 


5 9 


2 


o582 


8037 


55o3 


2 99 I 


o5u 


8o 7 5 


56 9 2 


33 7 5 


n34 


8 9 8i 


58 


3 


o8y3 


8328 


5 79 5 


3283 


0804 


8368 


5987 


36 7 o 


i43i 


9 2 79 


5 7 


4 


n64 


8619 


6086 


35 7 5 


io 9 6 


8661 


6281 


3 9 66 


1728 


9 5 77 


56 


5 


i454 


8910 


63 77 


3866 


i38 9 


8 9 54 


65 7 5 


4261 


2024 


9 8 7 6 


55 


6 


1745 


9201 


6668 


4i58 


1681 


9 248 


686 9 


455 7 


2321 


160174 


54 


7 


2o36 


9492 


6960 


445o 


I 97 3 


9 54i 


7i63 


485 2 


2618 


0472 


53 


8 


2327 


9783 


7 25l 


4742 


2266 


9 834 


7458 


5:47 


2 9 l5 


0771 


52 


9 


2618 


020074 


7542 


5o33 


2558 


O 9 OI27 


77 5 2 


5443 


3212 


iofi 9 


5i 


10 


002909 


020365 


o3 7 834 


o")5325 


072851 


O 9 o42I 


io8o46 


i25 7 38 


i435o8 


i6i368 


5o 


ii 


32OO 


o656 


8i 2 5 


56i 7 


3i43 


07l4 


834o 


6o34 


38o5 


1666 


49 


12 


3491 


0947 


84i6 


5 9 o 9 


3435 


IOO7 


8635 


632 9 


4lO2 


i 9 65 


48 


i3 


3782 


1238 


8707 


6200 


3 7 28 


i3oo 


8 9 2 9 


6625 


43 99 


2263 


47 


i4 


4072 


l52 9 


8999 


64 9 2 


4O2O 


i5 9 4 


9 223 


6 9 2O 


46 9 6 


2562 


46 


i5 


4363 


1820 


9290 


6 7 84 


43i3 


1887 


9 5i8 


7216 


4 99 3 


2860 


45 


16 


4654 


2III 


958i 


7076 


46o5 


2180 


9 8l2 


75i2 


52 9 o 


3i5 9 


44 


I? 


4945 


24O2 


9 8 7 3 


7368 


48 9 8 


2474 


110107! 7807 


558 7 


3458 


43 


18 


5236 


2693 


o4oi64 


7660 


5i 9 o 


2767 


o4oil 8io3 


5884 


3 7 56 


42 


J 9 


55 2? 


2 9 84 


o456 


7 9 5i 


, 5483 


3o6i 


o6 9 5 


83 99 


6181 


4o55 


4i 


20 


oo58i8 


O23275 


040747 


o58243 


075775 


o 9 3354 


no 99 o 


i286 9 4 


146478 


164354 


4o 


21 


6109 


3566 


io38 


8535 


6068 


3647 


1284 


8 99 o 


6776 


4652 


3 9 


22 


64oo 


385 7 


i33o 


8827 


636i 


3 9 4i 


i5 79 


9 286 


7 o 7 3 


4 9 5i 


38 


23 


6691 


4i48 


1621 


9 u 9 


6653 


4234 


i8 7 3 


9 582 


7 3 7 o 


5 2 5o 


37 


24 


6981 


443 9 


1912 


9 4n 


6 9 46 


4528 


2168 


9877 


7667 


554 9 


36 


25 


7272 


473i 


2204 


97 3 


7238 


4821 


2463 


130173 


7 9 64 


5848 


35 


26 


7563 


5022 


2495 


999 5 


7 53i 


5n5 


2 7 5 7 


o46 9 


8262 


6147 


34 


2 7 


754 


53i3 


2787 


060287 


7824 


54o8 


3o52 


0765 


855 9 


6446 


33 


28 


8i45 


56o4 


3078 


o5 79 


8116 


5702 


3346 


1061 


8856 


6 7 45 


32 


2 9 


8436 


58 9 5 


3370 


0871 


84o 9 


5 99 5 


364i 


i357 


9 i54 


7044 


3i 


3o 


008727 


026186 


o4366i 


061 i63 


078702 


o 9 628 9 


n3 9 36 


i3i65 2 


i4 9 45i 


167343 


3o 


3i 


9018 


6477 


3952 


i455 


8 99 4 


6583 


4230 


i 9 48 


9748 


7642 


29 


32 


9309 


6768 


4244 


1747 


9 28 7 


6876 


45 2 5 


2244 


i5oo46 


79 4i 


28 


33 


9600 


7 o5 9 


4535 


2 o3 9 


9 58o 


7170 


4820 


254o 


o343 


8240 


27 


34 


9891 


735o 


4827, 233i 


9 8 73 


7464 


5n4 


2836 


o64i 


853 9 


26 


35 


010181 


764i 


5n8 : 2623 


o8oi65 


77 5 7 


54o 9 


3i32 


o 9 38 


8838 


25 


36 


0472 


7 9 33| 54io 


2 9 l5 


o458 


8o5i 


5704 


3428 


1236 


9 i3 7 


24 


3? 


o 7 63 


8224' 5701 


3207 


0751 


8345 


5 999 


3 7 25 


i533 


943 7 


23 


38 


io54 


85i5 


5993 


34 99 


io44 


8638 


62 9 4 


4021 


i83i 


9736 


22 


3 9 


1 345 


8806 


6284 


3 79 i 


i336 


8 9 32 


6588 


43i 7 


2I2 9 


170035 


21 


4o 


on636 


029097 


o465 7 6 


o64o83 


o8i62 9 


99 226 


n6883 


i346i3 


152426 


I 7 o334 


20 


4i 


1927 


9388 


6867 


43 7 5 


I 9 22 


9 5i 9 


7178 


4 9 o 9 


2724 


o634 


*9 


42 


2218 


9679 


7 i5 9 


466 7 


22l5 


9 8i3 


7 4 7 3 


5 2 o5 


3022 


o 9 33 


18 


43 


2509 


997 


7 45o 


4 9 5 9 


25o8 


100107 


7768 


55o2 


33i 9 


1233 


*7 


44 


2800 


O3O262 


77^2 


5 2 5i 


2801 


o4oi 


8o63 


5 79 8 


36i 7 


i532 


16 


45 


3091 


o553 


8o33 


5543 


3o 9 4 


o6 9 5 


8358 


6o 9 4 


3 9 i5 


i83i 


i5 


46 


3382 


o844 


8325 


5836 


3386 


o 9 8 9 


8653 


63 9 o 


42l3 


2l3l 


i4 


4? 


3673 


n35 


8617 


6128 


36 79 


1282 


8 9 48 


6687 


45io 


2 43o 


i3 


48 


3 9 64 


1426 


8 9 o8 


6420 


3 97 2 


1576 


9 243 


6 9 83 


48o8 


2730 


12 


49 


4254 


1717 


9 200 


6712 


4265 


1870 


9 538 


7 2 79 


5io6 


3o3o 


II 


5o 


oi4545 


032009 


o4 9 4 9 i 067004 


o84558 


102164 


n 9 833 


i3 7 5 7 6 


i554o4 


I? 332 9 


IO 


5i 


4836 


23oo 


97 83 7 2 9 6 


485 1 


2458 


120128 


7872 


5702 


362 9 


9 


52 


5127 


2 5 9 i 


o5oo75 ?58 9 


5i44 


2752 


o423 


8i6 9 


6000 


3 9 2 9 


8 


53 


54i8 


2882 


o366 7881 


543 7 


3o46 


0718 


8465 


62 9 8 


4228 


7 


54 


5 7 o 9 


3 I7 3 


o658 8173 


5730 


334o 


ioi3 


8761 


65 9 6 


45 2 8 


6 


55 


6000 


3465 


o 9 4 9 8465 


6o23 


3634 


i3o8 


9 o58 


68 9 4 


4828 


5 


56 


6291 


3 7 56 


1241 8758 


63i6 


3 9 28 


1604 


9 354 


7 I 9 2 


5127 


4 


5 7 


6582 


4o47 


i533 9 o5o 


66o 9 


4222 


i8 99 


9 65i 


7 4 9 o 


542 7 


3 


58 


68 7 3 


4338 


1824 


9 342 


6 9 O2 


45i6 


2I 9 4 


9948 


7788 


5727 


2 


5 9 


7164 


463o 


2116 


9 635 


7 i 9 6 


48io 


248 9 


i 40244 


8086 


6027 


I 




89 


88 


87 


86 


85 


84 


83 


82 81 ' 


80 






Natural Co-tangents. 


* 


to r'> 85 


4.85 


4.86 


4.8 7 


4.88 


4-8 9 


4. 9 i 


4- 9 3 


4- 9 6 


4. 9 8 





lib 



NATURAL SINES. 



i 


10 


11 


12 


13 


14 


15 


16 


17 


18 


19 




o 


i 7 3648 


190809 


207 9 I2 


224 9 5l 


24l 9 22 


2588i 9 


275637 


292872 


3o 9 oi7 


325568 


60 


i 


3 9 35 


1095 


8196 


5234 


2204 


9 ioo 


5 9 i 7 


265o 


9 2 9 4 


5843 


5 9 


2 


4221 


i38o 


848 1 


55i8 


2486 


9 38i 


6i 97 


2928 


9 5 7 


6118 


58 


3 


45o8 


1666 


8 7 65 


58oi 


2 7 6 9 


9 662 


6476 


3206 


9 847 


63 9 3 


5 7 


4 


4794 


I 9 5i 


9 o5o 


6o85 


3o5i 


99 43 


6 7 56 


3484 


3ioi23 


6668 


56 


'5, 5o8o 


2237 


9 334 


6368 


3333 


260224 


7 o35 


3 7 62 


o4oo 


6 9 43 


55 


6 5367 


2522 


9 6l 9 


665 1 


36i5 


o5o5 


7 3i5i 4o4o 


0676 


7218 


54 


7 


5653 


2807 


99 3 


6 9 35 


38 97 


o 7 85 


7 5 9 4 43i8 


o 9 53 


7 4 9 3 


53 


8 


5^39 


3o 9 3 


210187 


7218 


4i 79 


1066 


7874 


45 9 6 


I22 9 


77 68 


52 


9 


6226 


33 7 8 


0472 


7 5oi 


446i 


1 347 


8i53 


48 7 4 


i5o6 


8042 


5i 


10 


176512 


i 9 3664 


210756 


227784 


s44 7 43 


261628 


278432 


2 9 5l52 


311782 


3 2 83i 7 


5o 


ii 


6798 


3949 


io4o 


8068 


0025 


I 9 o8 


8712 


543o 


2o5 9 


85 9 2 


49 


12 


7o85 


4234 


13-25 


835i 


53o 7 


2i8 9 


8 99 i 


5 7 o8 


2335 


886 7 


48 


i3 


7 3 7 i 


452o 


i6o 9 


8634 


558 9 


2470 


9 2 7 


5 9 86 


2611 


9 i4i 


4? 


i4 


7 65 7 


48o5 


i8 9 3 


8917 


58 7 i 


2751 


9 55o 


6264 


2888 


9 4i6 


46 


i5 


7044 


5090 


2178 


9200 


6i53 


3o3i 


9 82 9 


6542 


3i64 


9 6 9 i 


45 


16 


823o 


53 7 6 


2462 


9484 


6435 


33i2 


280108 


68i 9 


344o 


99 65 


44 


'7 


85i6 


566i 


2746 


9767 


6717 


35 9 2 


o388 


7097 


3 7 i6 


33o24o 


43 


18 


8802 


5 9 46 


3o3o 


23oo5o 


6 999 


38 7 3 


0667 


7 3 7 5 


3 99 2 


o5i4 


42 


*9 


9088 


623i 


33i5 


o333 


7281 


4i54 


o 9 46 


7 653 


426 9 


0-789 


4i 


20 


179375 


I 9 65i7 


2i35 99 


23o6i6 


247563 


264434 


281225 


2 9 7 9 3o 


3i4545 


33io63 


4o 


21 


9661 


6802 


3883 


0899 


7 845 


47i5 


i5o4 


8208 


4821 


i338 


3 9 


22 


9947 


7087 


4i6 7 


1182 


8126 


4 99 5 


i 7 83 


8486 


5o 97 


1612 


38 


23 


i8o233 


7 3 7 2 


445 1 


i465 


84o8 


5276 


2062 


8763 


53 7 3 


i88 7 


37 


24 


0519 


7 65 7 


4735 


1748 


86 9 o 


5556 


234l 


_ 9 o4i 


564 9 


2161 


36 


25 


o8o5 


7942 


5oi 9 


2031 


8 97 2 


5~83 7 


2620 


9 3i8 


5 9 25 


2435 


35 


26 


1091 


8228 


53o3 


23i4 


9 253 


61 17 


2900 


9 5 9 6 


6201 


2 7 IO 


34 


27 


i3 77 


85i3 


5588 


2 5 97 


9 535 


63 97 


3i 79 


9 8 7 3 


64 77 


2984 


33 


28 


i663 


8 79 8 


58 7 2 


2880 


9 8i 7 


6678 


345 7 


3ooi5i 


6 7 53 


3258 


32 


29 


1950 


9 o83 


6i56 


3i63 


25oo 9 8 


6 9 58 


3 7 36 


0428 


7 O2 9 


3533 


3i 


3o 


182236 


I 99 368 


216440 


233445 


25o38o 


267238 


28401 5 


800706 


3n 7 3o5 


3338o 7 


3o 


3i 


2522 


9 653 


6724 


3 7 28 


0662 


7 5i 9 


4294 


0983 


7 58o 


4o8i 


2 9 


32 


2808 


99 38 


7008 


4oi i 


o 9 43 


7799 


45 7 3 


1261 


7 856 


4355 


28 


33 


3094 


20O223 


7 2 9 2 


42 9 4 


1225 


8o 79 


4852 


i538 


8i3 2 


4629 


2 7 


34 


33 7 9 


o5o8 


7 5 7 5 


45 77 


i5o6 


835 9 


5i3i 


i8i5 


84o8 


4903 


26 


35 


3665 


o 79 3 


7 85 9 


485 9 


1788 


864o 


54io 


2093 


8684 


5i 7 8 


25 


36 


3 9 5i 


1078 


8i43 


5i42 


2o6 9 


8 9 20 


5688 


2870 


8 9 5 9 


5452 


24 


3? 


423 7 


1 363 


8427 


5425 


235i 


9 2OO 


5 9 6 7 


2647 


9 235 


5 7 26 


23 


38 


4523 


1 648 


8711 


5708 


2632 


9 48o 


6246 


2924 


9 5u 


6000 


22 


3 9 


4809 


i 9 33 


8 99 5 


5990 


2 9 l4 


9760 


6525 


3202 


97 86 


6274 


21 


4o 


185095 


202218 


2I 9 27 9 


236273 


253i 9 5 


270040 


286803 


3o3479 


320062 


336547 


2O 


4i 


538i 


2502 


9 562 


6556 


3477 


0320 


7082 


3756 


o337 


6821 


J 9 


42 


5667 


2787 


9 846 


6838 


3 7 58 


0600 


7 36i 


4o33 


o6i3 


7 o 9 5 


18 


43 


5 9 5 2 


3072 


22Ol3o 


7121 


4o3 9 


0880 


7 63 9 


43io 


0889 


7 36 9 


'7 


44 


6238 


335 7 


o4i4 


?4o3 


4321 


1160 


79 i8 


45'S7 


1 1 64 


7 643 


16 


45 


6524 


3642 


o6 9 7 


7686 


4602 


i44o 


8i 9 6 


4864 


i43 9 


79 i7 


i5 


46 


6810 


392 7 


o 9 8i 


7968 


4883 


1720 


84 7 5 


5i4i 


1715 


8i 9 o 


i4 


4 7 


7096 


4211 


1265 


25l 


5i65 


2000 


8 7 53 


54i8 


1990 


8464 


i3 


48 


7 38i 


4496 


1 548 


8533 


5446 


2280 


9 o32 


56 9 5 


2266 


8 7 38 


12 


49 


7667 


4 7 8i 


i832 


8816 


5727 


256o 


9 3io 


5972 


254i 


9 OI2 


II 


5o 


187953 


2o5o65 


222116 


239098 


256oo8 


272840 


28 9 58 9 


3o624 9 


322816 


33 9 285 


IO 


5i 


8238 


535o 


23 99 


9 38i 


6 2 8 9 


3l20 


9 86 7 


65 2 6 


3092 


9 55 9 


9 


52 


8524 


5635 


2683 


9 663 


65 7 i 


3400 


2 9 oi45 


6So3 


336 7 


9 83 2 


8 


53 


8810 


5 9 2O 


2 9 6 7 


9946 


6852 


36 7 9 


0424 


7 )8o 


3642 


34oio6 


7 


54 


9095 


6204 


325o 


240228 


7 i33 


3 9 5 9 


O 7 O2 


?35 7 


3 9 i 7 


o38o 


6 


55 


9 38i 


648 9 


3534 


o5io 


74i4 


423 9 


o 9 8i 


7 633 


4i 9 3 


o653 


5 


56 


9667 


6 77 3 


3817 


o 79 3 


7 6 9 5 


45i 9 


I25 9 


7 9 io 


4468 


9 2 7 


4 


57 


99 52 


7 o58 


4ioi 


1075 


797 6 


4798 


i53 7 


8187 4743 


1200 3 


58 


190238 


?343 


4384 


i357 


825 7 


5o 7 8 


i8i5 


8464 5oi8 


i4 7 3 2 


5 9 


o523 


762-7 


4668 


i64o 


8538 


5358 


20 9 4 


8740 52 9 3 1747 i 




79 


78 


77 


76 


75 74 


73 ; 72 71 70 . 
















1 


Natural Co-sines. 


#4.77 | 4. 7 5 


4.73 


4. 7 i 


4.6 9 


4.67 


4.65 


4.62 


4.6o 


4.5 7 





NATURAL TANGENTS. 



1 19 



J 

I 


10 


11 


12 


13 


14 


15 


16 


17 


18 


19 







i 7 632 7 


i 9 438o 


212667 


23o868 


249328 


2 67 9 4 9 


286 7 45 


3o5 7 3i 


324920 


344328 


60 


I 


662 7 


4682 


2861 


1176 


9637 


8261 


7 o6o 


6o4g 


6241 


4653 


69 


2 


6 9 2 7 


4984 


3i65 


i48i 


9946 


85 7 3 


7 3 7 5 


636 7 


5563 


4978 


58 


^ 


7 22 7 


6286 


346 9 


1788 




8885 


7 6 9 o 


, 6685 


5885 


53o4 


57 


^ 


7627 


5588 


3 77 3 


209^ 


066^ 


9197 


8oo5 


7 oo3 


620-7 


563o 


56 


f 


7 82 7 


6890 


4077 


2401 


0873 




8320 


7 322 


6628 


5 9 55 


55 


6 


8l2 7 


6192 


438i 


2707 


ii83 


9821 


8635 


7 64o 


685o 


6281 


54 


7 


8427 


6494 


4686 


3oi4 


1492 


270133 


8 9 5o 


7969 


-71-72 


6607 


53 


8 


8727 


6796 


4990 


332i 


1801 


o445 


9 266 


82 77 




6 9 33 


62 


9 


9028 


7099 


629^ 


362 7 


2III 


0767 


9 58i 


8696 


7817 


7269 


5i 


10 


179328 


197401 


216699 


233934 


262420 


271069 


28 9 8 9 6 


308914 


328139 


34 7 585 


5o 


ii 


9628 


773 


5 9 o3 


4241 


2729 


i382 


2 9 02I I 


9233 


846 1 


7911 


4 9 


12 


9928 


8oo5 


6208 


4548 




i6" 9 4 


o52 7 


9662 


8 7 83 


8 2 3 7 


48 


i3 


180229 


83o8 


6612 


4855 


3348 


2006 


0842 


9871 


9106 


8563 


47 


i4 


0629 


8610 


6817 


6162 


3658 


2319 


1168 


310189 


9428 


8889 


46 


1 5 


0829 


8912 


7121 


546 9 


3 9 68 


2 63i 


i4 7 3 


0608 


9-761 


9216 


45 


16 


n3o 


9216 


7426 


6776 


4277 


2944 


1789 


082-7 


33oo 7 3 


9642 


44 


1-7 


i43o 


9617 


77 3i 


6o83 


458 7 


3 2 56 


2106 


u46 


0396 


9868 


43 


18 


I 7 3i 


9820 


8o35 


6390 


48 97 


356 9 


2420 


i465 


0-718 


360196 


42 


'19 


2031 


200122 


834o 


6697 


6207 


3882 


2 7 36 


i 7 84 


io4i 


0622 


4i 


20 


182332 


2OO425 


2x8645 


237004 


266616 


274194 


2 9 3o52 


3i2io4 


33i364 


35o848 


4o 


21 


2632 


0727 


8960 


7312 


6826 


4607 


3368 


2423 


1687 


1176 


3 9 


22 


2 9 33 


io3o 


9264 


7619 


6i36 


4820 


3684 


2 7 42 


2OIO 


1602 


38 


23 


3234 


i333 


9669 


7926 


6446 


5i33 


4ooo 


3o62 


2333 


1829 


37 


24 


3534 


i635 


9864 


8234 


6 7 56 


5446 


43i6 


338i 


2666 


2166 


36 


25 


3835 


1938 


220169 


854i 


7 o66 


6769 


4632 


3 7 oo 


2979 


2483 


35 


26 


4i36 


224l 


0474 


8848 


7377 


6072 


4 9 48 


4020 


3302 


2810 


34 


27 


443 7 


2 544 


0779 


9166 


7 68 7 


6385 


6266 


4340 


36 2 5 


3i3 7 


33 


28 


4 7 3 7 


2847 


1084 


9464 


7997 


6698 


6681 


4669 


3 9 4 9 


3464 


32 


29 


5o38 


3149 


i38 9 


9771 


83o 7 


7011 


58 97 


4979 




3 79 i 


3i 


3o 


i85339 


203462 


221696 




268618 


277326 


296213. 


316299 334696 


354119 


3o 


3i 


564o 


3766 


2OOO 


o386 


8928 


7 638 


653o 


6619 


4 9 i 9 


4446 


2 9 


32 


694 1 


4o58 


23o5 


o6g4 


9238 


7961 


6846 


5 9 3 9 


6242 


4 77 3 


28 


33 


6242 


436i 


2610 


1 002 


9 54 9 


8266 


7 i63 


6268 


5566 


5ioi 


2 7 


34 


6543 


4664 


2916 


i3io 


9869 


8678 


7480 


65 7 8 


58 9 o 


6429 


26 


35 


6844 


4967 


3221 


1618 


2601-70 


8891 


7796 


6899 


62i3 


6766 


25 


36 


7i45 


6271 


3526 


1926 


o48o 


9206 


8n3 


-7219' 653 7 


6084 


24 


37 


7446 


55 7 4 


383 2 


2233 


o 79 i 


9619 


843o 


7 53g 6861 


6412 


23 


38 


7747 


58 77 


4i3 7 


2641 


1 1 02 


9 83 2 


8 7 4 7 


7869 -7186 


6740 


22 


3 9 


8o48 


6180 


4443 


2849 


i4i3 


280146 


9063 


81-79 


7^09 


7068 


21 


4o 


188349 


206483 


224748 


243167 


261-723 


280460 


299380 


3i85oo 


33 7 833 


35 7 3 9 6 


2O 


4i 


865i 


6787 


5o54 


3466 


2o34 


o 77 3 


9697 


8820 


8167 


77 2 4 


'9 


42 


8962 


7090 


536o 


3 77 4 


2345 


1087 


3oooi4 


9i4i 


848 1 


8062 


18 


43 


9263 


7 3 9 3 


5665 


4082 


2666 


i4oi 


o33i 


946i 


8806 


838o 


'7 


44 


9 555 


7697 


6971 


4390 


2 9 6 7 


1716 


0649 


97 8 2 


9 i3o 


8708 


16 


45 


9866 


8000 


6277 


4698 


32 7 8 


2029 


0966 


32oio3 


9 454 


9 3 7 


i5 


46 


190167 


83o4 


6583 


6007 


358 9 


2343 


1283 


0423 


9779 


9365 


i4 


47 


0469 


8607 


6889 


53i5 


3 9 oo 


2667 


1600 


o 7 44 


34oio3 


9694 


i3 


48 


0760 


8911 


7194 


6624 


421 1 


2971 


1918 


1066 


0428 


360O22 


12 


49 


1062 


9214 




5 9 3 2 


4523 


3 2 86 


2235 


i386 


0762 


o35i 


II 


5o 


I 9 i363 


209618 


227806 


246241 


264834 


2836oo 


302553 


32I 7 O 7 


341077 


360679 


IO 


5i 


1666 


9822 


8112 


654 9 


5i45 


3 9 i4 


28-70 


2028 


I4O2 


1008 


9 


52 


1966 


210126 


84i8 


6858 


545 7 


422 9 


3i88 


2349 


1727 


i33 7 


8 


53 


2268 


0429 


8724 


7166 


5 7 68 


4543 


35o6 


26-70 


2062 


1666 


7 


54 


2670 


o 7 33 


9o3i 


7476 


6o 79 


485 7 


3823 


2991 


2377 


1996 


6 


55 


2871 


1037 


9 33 7 


7784 


63 9 i 


5l 7 2 


4i4i 


33i2 


2702 


2324 


5 


56 


3i 7 3 


i34i 


9 643 


8o 9 2 


6 7 O2 


548 7 


4469 


3634 


3027 


2 653 


4 


5 7 


3475 


1 645 


9949 


84oi 


7 oi4 


6801 


4777 


3 9 55 


3352 


2982 


3 


58 


3 777 


1949 


230266 


8710 


7 326 


6116 


6096 


42 77 


36 7 7 


33i2 


2 


5 9 


4078 


2253 0562 


9019 


7 63 7 


643i 


54i3 


4698 4002 


364i 


I 




79 


78 ! 77 76 


75 74 73 


72 ! 71 


70 


a 




Natural Co-tangents. 


i 


* 


5.o5 


6.09 


5.i3 


5.i 7 


5.22 


5.2 7 


5.33 


5.3 9 


5.46 





120 



NATURAL SINES. 



J 

X 


20 


21 


22 


23 


24 


25 


26 


27 


28 


29 | 


o 


342020 


358368 


3 7 46o 7 


3 9 073i 


4o6 7 3 7 


422618 


4383 7 i 


453 99 o 


46 9 4 7 2 


484 10 


60 


I 


2293 


864o 


48 7 6 


999 


7002 


2882 


8633 


425o 


97 28 


5o64 


So 


2 


256 7 


8911 


5i46 


1267 


7268 


3i45 


88 9 4 


45o 9 


99 85 


53i8 


58 


3 


2840 


9 i83 


54i6 


i534 


?534 


34o 9 


9 i55 


4 7 68 


4 7 0242 


55 7 3 


57 


4 


3n3 


9454 


5685 


1802 


7799 


36 7 3 


9 4i7 


502 7 


o4 99 


58 27 


56 


5 


338 7 


97 25 


5 9 55 


2070 


8o65 


3 9 36 


9 6 7 8 


5286 


o 7 55 


6081 


55 


6 


366o 


9997 


6224 


233 7 


833o 


4i 99 


99 3 9 


5545 


1012 


6335 


54 


7 


3 9 33 


360268 


64g4 


26o5 


85 9 6 


4463 


44O200 


58o4 


1268 


65 9 o 


53 


8 


4206 


o54o 


6 7 63 


2872 


8861 


4 7 26 


0462 


6o63 


i5 2 5 


6844 


52 


9 


4479 


0811 


7 o33 


3i4o 


9 !2 7 


4 99 o 


7 23 


6322 


1-782 


7 o 9 8 


5i 


10 


344752 


361082 


3 77 3o2 


3 9 34o 7 


4o 9 3 9 2 


425253 


44o 9 84 


45658o 


4 7 2o38 


48 7 35 2 


5o 


ii 


5o25 


i353 


75 7 i 


3675 


9 658 


55i6 


1245 


6839 


22 9 4 


7606 


49 


12 


5298 


i6 2 5 


784i 


3 9 42 


99 23 


5 779 


i5o6 


7098 


2 55i 


7 86o 


48 


i3 


55 7 i 


1896 


8110 


420 9 


4ioi88 


6042 


i 7 6 7 


7 35 7 


28o 7 


8n4 


47 


i4 


5844 


2l6 7 


83 7 9 


4477 


o454 


63o6 


2028 


76i5 


3o63 


836 7 


46 


i5 


6117 


2438 


8649 


4744 


07i 9 


656 9 


228 9 


7874 


3320 


8621 


45 


16 


6390 


2 7 9 


8918 


5on 


o 9 84 


6832 


2 55o 


8i33 


35 7 6 


88 7 5 


44 


I? 


6663 


2980 


9187 


52 7 8 


I24 9 


7 o 9 5 


2810 


83 9 i 


3832 


9 i2 9 


43 


18 


6 9 36 


325i 


9 456 


5546 


i5i4 


7358 


3o 7 i 


865o 


4o88 


9 382 


42 


J 9 


7208 


3522 


97 25 


58i3 


i77 9 


7621 


3332 


8908 


4344 


9 636 


4i 


20 


34748i 


363 7 93 


379994 


3 9 6o8o 


4i2o45 


427884 


4435 9 3 


45 9 i66 


4 7 46oo 


48 9 8 9 o 


4o 


21 


77 54 


4o64 


380263 


634 7 


23lO 


8i47 


3853 


9425 


4856 


4 9 oi43 


3 9 


22 


8027 


4335 


o532 


66i4 


2 5 7 5 


84io 


4n4 


9 683 


5lI2 


o3 97 


38 


23 


8299 


46o6 


0801 


6881 


2840 


8672 


43 7 5 


9942 


5368 


o65o 


37 


24 


85 7 2 


4877 


1070 


7i48 


3io4 


8 9 35 


4635 


460200 


5624 


o 9 o4 


36 


25 


8845 


5i48 


i33 9 


74i5 


336 9 


9 i 9 8 


48 9 6 


o458 


588o 


n5 7 


35 


26 


9117 


54i8 


1608 


7682 


3634 


9 46i 


5i56 


0716) 6i36 


i4n 


34 


27 


9 3 9 o 


568 9 


1877 


7949 


38 99 


9723 


54i 7 


0974 6392 


1 664 


33 


28 


9662 


5 9 6o 2146 


82i5 


4i64 


99 86 


56 77 


1232 6647 


I 9 i 7 


32 


29 


99 35 


623i! 24i5 


8482 


442 9 


43o24 9 


5 9 3 7 


1491 6903 


2I 7 


3i 


3o 


350207 


3665oi 


382683 


3 9 8 7 4 9 


4i46 9 3 


43o5n 


446i 9 8 


461749] 4771^9 


4 9 s424 


3o 


3i 


o48o 


6772 


2 9 52 


9 oi6 


4 9 58 


0774 


6458 


2007, 7 4i4 


2 6 77 


2 9 


32 


0752 


7042 


3221 


9 283 


5223 


io36 


6 7 i8 


2265| 7670 


2 9 3o 


28 


33 


IO25 


7 3i3 


34 9 o 


9 54 9 


548 7 


i2 99 


6 979 


2523- 7925 3i83 


27 


34 


1297 


7 584 


3758 


9 8i6 


5752 


i56i 


7 23 9 


2780' 8181; 3436 


26 


35 


i56 9 


7854 


4027 


400082 


6016 


1823 


74 99 


3o38 r 8436 368 9 


25 


36 


1842 


8i25 


42 9 5 


o34 9 


6281 


2086 


775 9 32 9 6 86 9 2; 3 9 42 


24 


37 


2Il4 


83 9 5 


4564 


0616 


6545 


2348 


8oi 9 ! 3554! 8 9 47 


4i 9 5 


23 


38 


2386 


8665 


4832 


0882 


6810 


2610 


827 9 ' 38i2 9 2o3 


4448 


22 


3 9 


2658 


8 9 36 


5ioi 


n4 9 


7074 


2873 


853 9 i 4o6 9 9 458 


4 7 oo 


21 


4o 


352 9 3i 


36 9 2o6 


38536 9 


4oi4i5 


4i 7 338 


433i35 


4487 99 464327 47 9 7i3 


4 9 4 9 53 


20 


4i 


3 2 o3 


9 476 


5638 


1681 


7603 


33 97 


9 o5 9 ' 4584 


99 68 


5206 


'9 


42 


3475 


9747 


5 9 o6 


i 9 48 


7867 


365 9 


9 3i 9 


4842 


480223' 545 9 


18 


43 


3 7 4 7 


370017 


6i 7 4 


2214 


8i3i 


3 9 2I 


9 5 79 


5ioo 


o4 79 i 5 7 n 


'7 


44 


4019 


0287 


6443 


2480 


83 9 6 


4i83 


9 83 9 


535 7 


o 7 34 


5 9 64 


16 


45 


4291 


o55 7 


6711 


2 7 4 7 


8660 


4445 


45oo 9 8 


56i5 


o 9 8 9 


621-7 


i5 


46 


4563 


0828 


6 979 


3oi3 


8 9 24 


4707 


o358 


58 7 2 


1244 


646 9 


i4 


47 


4835 


io 9 8 


7247 


32 79 


9 i88 


4 9 6 9 


0618 


6129 


1499 


67,2 


i3 


48 


5io 7 


i368 


75i6 


3545 


9 45 2 


5 2 3i 


0878 


6387 


i 7 54 


6 97 4 


12 


49 


53 79 


i638 


7784 


38n 


97 i6 


54 9 3 


ii3 7 


6644 


2OO 9 


-7226 


II 


5o 


35565i 


37i 9 o8 


388o52 


4o4o 7 8 


4i 99 8o 


435 7 55 


45i3 97 


466901 


482263 


497479 


10 


5i 


5 9 23 


2178 


8320 


4344 


420244 


6017 


i656 


7i58 


25i8 


773i 


9 


52 


6194 


2448 


8588 


46io 


o5o8 


6278 


I 9 i6 


7416 


2773 


79 83 


8 


53 


6466 


2718 


8856 


48 7 6 


77 2 


654o 


2175 


7 6 7 3 


3o28 


8236 


7 


54 


6 7 38 


2 9 88 


9 I24 


5:42 


io36 


6802 


2435 


79 3o 


3282 


8488 


6 


55 


7010 


3258 


9 3 9 2 


54o8 


i3oo 


7 o63 


26 9 4 


8187 


353 7 


8 7 4o 


5 


56 


7281 


3528 


9 66o 


56 7 3 


i563 


7 3 2 5 


2 9 53 


8444 


3 79 2 


8 99 2 


4 


57 


7 553 


3797 


99 28 


5 9 3 9 


l82 7 


7 58 7 


32i3 


8701 


4o46 9 244 


3 


58 


7825 


4o6 7 


3 9 oi 9 6 


62o5 


20 9 I 


7 848 


3472 


8 9 58 


43oi 


9 4 9 6 


2 


5 9 


8096 


433 7 


o463 


64 7 i 


2355 


8110 


3 7 3r 


9 2l5 


/i 5 5 5 


97 48 


I 




69 


68 


67 


66 


65 


64 


63 


62 


61 60 


d 




Natural Co-sines. 


4.54 


4.5i 


4-48 


4 45 


4.4i 


4.38 


4.34 


4.3o 


4.26 


4.23 ) 



NATLRAL TANGENTS. 



121 



E 


20 


21 


22 


23 


24 


25 


26 


27 


28 


29 







363970 


383864 


404026 


4244 7 5 


445229 


4663o8 


48 77 33 


5o 9 525 


531709 


554309 


60 


I 


43oo 


4198 


4365 


48i8 


55 77 


6662 


8o 9 3 


9892 


2o83 


468 9 


5 9 


2 


4629 


4532 


4703 


5i62 


5926 


7016 


8453 


5io258 


2456 


5070 


58 


3 


4 9 5 9 


4866 


5o4a 


55o5 


62 7 5 


7 3 7 i 


88i3 


0625 


2829 


545o 


57 


4 


5 2 88 


5200 


538o 


584 9 


6624 


7725 


9174 


0992 


32o3 


583i 


56 


5 


56i8 


5534 


5 7 i 9 


6i 9 2 


6 97 3 


8080 


9 534 


i35 9 


35 77 


6212 


55 


6 


5 9 48 


5868 


6o58 


6536 


7 322 


8434 


9 8 9 5 


I 7 26 


3950 


65 9 3 


54 


7 


6278 


6202 


63 97 


6880 


7 6 7 i 


8789 


490256 


2093 


4324 


6974 


53 


8 


6608 


6536 


6736] 7224 


8020 


9 i44 


0617 


2460 


4698 


7355 


52 


9 


6 9 38 


68 7 i 


7075 


7 568 


836 9 


9499 


0978 


2828 


5072 


7736 


5i 


10 


367268 


38 7 2o5 


407414 


42 79 I2 


448-719 


46 9 854 


491339 


5i3ig5 


535446 


558n8 


5o 


ii 


7 5 9 8 


7540 


77 53 


8 2 56 


9d68 


47O20 9 


1700 


. 3563 


582i 


8499 


49 


12 


79 28 


7 8 7 4 


8092 


8601 


9 4i8 


o564 


2061 


3g3o 


6i 9 5 


8881 


48 


i3 


8259 


8209 


8432 


8 9 45 


97 68 


0920 


2422 


4298 


65 7 o 


9263 


47 


i4 


858 9 


8544 


8 7?I 


9289 


45on 7 


1275 


2784 


4666 


6 9 45 


9 645 


46 


i5 


8919 


8879 


911 1 


9 634 


o46 7 


i63i 


3i45 


5o34 


7 3i 9 


560027 


45 


16 


9250 


9214 


9 45o 


9979 


081-7 


1986 


35o7 


54o2 


76 9 4 


0409 


44 


l l 


9 58i 


9549 


9-790 


43o323 


n6 7 


2342 


386 9 


5 77 o 


8o6 9 


0791 


43 


18 


9911 


9884 


4ioi3o 


0668 


i5i 7 


2698 


423l 


6i38 


8445 


1174 


42 


!Q 


370242 


390219 


o4 7 o 


ioi3 


1868 


3o54 


45 9 3 


65o 7 


8820 


i556 


4i 


20 


3 7 o5 7 3 


390554 


4 i 0810 


43i358 


4522i8 


473410 


4 9 4 9 55 


5i68 7 5 


53 9 i 9 5 


561939 


4o 


21 


0904 


0889 


n5o 


I 7 o3 


2568 


0766 


53i 7 


7244 


9^7! 


2322 


3 9 


22 


1235 


1225 


i4go 


2048 


2919 


4l22 


56 79 


7 6i3 


9946 


2 7 o5 


38 


23 


i566 


i56o 


i83o 


23g3 


3269 


4478 


6042 


-7982 


54o22 


3o88 


37 


24 


1897 


1896 


2I 7 


2 7 3 9 


3620 


4835 


64o4 


835i 


o6 9 8 


347i 


36 


25 


2228 


223l 


25ll 


3o84 


3 97 i 


Sigi 


6767 


8 7 20 


1074 


3854 


35 


26 


2559 


256 7 


285i 


343o 


4322 


5548 


7i3o 


9089 


i45o 


4238 


34 


27 


2890 


2903 


3192 


3 77 5 


46 7 3 


5 9 o5 


7 4 9 2 


9 458 


1826 


4621 


33 


28 


3222 


3 2 3 9 


3532 


4l2I 


5o24 


6262 


7 855 


9 828 


2203 


5oo5 


32 


29 


3553 


35 7 4 


38 7 3 


446 7 


53 7 5 


6619 


8218 


52019-7 


2570. 


538 9 


3i 


3o 


3 7 3885 




414214 


434812 455 7 26 


476976 


4 9 8582 


52o56 7 


542956 


565 77 3 


3o 


3i 


4216 


4247 


4554 


5i58 6o 7 8 


7 333 


8 9 45 


o 9 3 7 


3332 


6i5 7 


2 9 


32 


4548 


4583 


48 9 5 55o4 


642 9 


7690 


9 3o8 


i3o 7 


3 7 o 9 


654i 


28 


33 


488o 


4919 


5236J 585o 


6 7 8i 


8047 


0672 


i6 77 


4o86 


6 9 25 


27 


34 


6211 


5255 


55 77 


619-7 


7 l32 


84o5 


5ooo35 


2O4 7 


4463 


73io 


26 


35 


5543 


55 9 a 


5919 


6543 


7 484 


8762 


0399 


2417 


484o 


769.4 


25 


36 


58 7 5 


5928 


6260 


6889 


7 836 


9120 


0763 


2787 


5218 


8079 


24 


37 


6207 


6265 


6601 


7 236 


8188 


9477 


1 127 


3i58 


55 9 5 


8464 


23 


38 


653 9 


6601 


6 9 43 


7 582 


854o 


9 835 


1491 


3528 


5 97 3 


8849 


23 


3 9 


. 6872 


6 9 38 


7284 


7929! 8892 480193 


i855 


3899 


635o 


9234 


21 


4o 


377204 


3 97 2 7 5 


4i 7 626 


438276 459244! 48o55i 


502219 


524270 


546 7 28 


569619 


2O 


4i 


7 536 


7611 


7967 


8622 9596 0909 


2583 


464i 


7106 


570004 


19 


42 


7869 


7948 


83o 9 


8969! 9949 


1267 


2948 


5012 


7484 


0390 


18 


43 


8201 


8 2 85 


865i 


9316 46o3oi 


1626 


33i2 


5383 


7862 


0776 


T 7 


44 


8534 


8622 


8 99 3 


9 663 o654 


io8/ 


3677 


5 7 54 


8240 


1161 


16 


45 


8866 


8960 


9 335 


44oon 1006 234J 


4o4i 


6i25 


8619 


i547 


i5 


46 


9199 


9297 


9677 


o358 


i35 9 2 7 oi 


44o6 


6497 


8997 


1933 


i4 


47 


9 532 


9 63/ 


4200I 9 


0705 


I 7 I2 


3o6o 


4771 


6868 


9876 


23ig 


i3 


48 


9864 


9971 


o36i 


io53| 2o65 


3419 


5i36 


7240 


97 55 


2705 


12 


49 


380197 




o 7 oZ 


i4oo 2418 


3 77 8 


55o2 


7612 


55oi34 


3092 


II 


5o 


38o53o 


4oo646 


421046 


441748 462771 




5o586 7 


527984 


55o5i3 


5734-78 


IO 


5i 


o863 


0984 


i38 9 


2095! 3i24 


44 9 6 


6232 


8356 


o8 9 2 


3865 


9 


5a 


1196 


1322 


I 7 3i 


24^3 3478 4855 


65 9 8 


8728 


1271 


4252 


8 


53 


i53o 


1660 


20 7 4 


2791 383i 


5 2 i4 


6963 


9100 


i65o 


4638 


7 


54 


i863 


1997 


24l7 


3i3 9 4i85 


55 7 4 


7329 


9473 


2o3o 


5026 


6 


55 


2196 


2335 


2 7 59 


3487 4538 


5 9 33 


7 6 9 5 


9 845 


2409 


54i3 


5 


56 


2 53o 


2673 


3l02 


3835| 4892 


629; 


806 


53o2i8 


2789 


58oo 


4 


57 


2863 


Son 


3445 


4i83| 5246 


6653 


8427 


o5g 


3169 


6187 


3 


58 


3i 97 


335c 


3 7 88 


4532J 56oo 7013 


8 79 3 


0963 


3549 


6576 


2 


5 9 


353o 


3688 


4i3s 


488o 5g54 7373 


9 i5 9 


1 336 


3 9 29 


6962 


I 




69 


68 


67 


66 65 64 


63 


62 


61 


60 


s 




Natural Co-tangenls. 




P. P. 5 53 


5.6o 


5.68 


5. 7 6 


5.85 


5. 9 5 


6.o5 


6 16 


6.28 

I 


6.4o 





122 



NATURAL SINES. 



1 
i 


30 31 


32 


33 


34 


35 


36 


37 


38 


39 







5ooooo| 5i5o38 


529919 


544639 


55 9 i 9 3 


5 7 35 7 6 


58 77 85 


6oi8i5 


6i566i 


62 9 320 


60 


I 


0262 


5287 


53oi66 


4883 


9 434 


38i5 


8021 


2o4 7 


58 9 i 


9 546:5q 


2 


o5o^ 


553 7 


o4i3 


5l2 7 


9 6 7 5 


4o53 


8 2 56 


2280 


6120 


977 2 


58 


i 


0756 


5 7 86 


o65 9 


53 7 i 


99 i6 


42 9 I 


84 9 i 


25l2 


634 9 


999 8 5 7 


^ 


1007 


6o35 


0906 


56i5 


56oi5 7 


452 9 


8726 


2 7 44 


65 7 8 


630224 


56 


| 


1259 


6284 


Il52 


5858 


o3 9 8 


4 7 6 7 


8 9 6i 


2 97 6 


68o 7 


o45o 


55 


6 


i5n 


6533 


i3 99 


6102 


o63 9 


5oo5 


9 i 9 6 


3208 


7 o36 


06-76 


54 


7 


1762 


6782 


1 645 


6346 


0880 


5243 


9 43i 


3440 


7 265 


O 9 O2 


53 


8 


201^ 


7o3i 


1891 


658 9 


II2I 


548 1 


9 666 


36 7 2 


7 4 9 4 


1127 


52 


9 


2266 


7280 


2i38 


6833 


i36i 


5 7 i 9 


99 oi 


3 9 o4 


77 22 


i353 


5i 


10 


5o25i7 


517529 


532384 


547076 


56i6o2 


5 7 5 9 5 7 


5 9 oi36 


6o4i36 


6i 7 95i 


63i5 7 8 


5o 


ii 


2769 


7778 


263o 


7320 


.S43 


6i 9 5 


0371 


436 7 


8180 


1804 


49 


12 


3020 


8027 


2876 


7 563 


2o83 


6432 


0606 


45 99 


84o8 


2O2 9 


48 


r3 


3271 


8276 


3l22 


7807 


2324 


66 7 o 


0840 


483i 


863 7 


2255 


47 


i4 


3523 


85 2 5 


3368 


8o5o 


2564 


6 9 o8 


1075 


5o62 


8865 


2480 


46 


i5 


3774 


8 77 3 


36i5 


82 9 3 


28o5 


7 i45 


i3io 


52 9 4 


9094 


2705 


45 


16 


4oa5 


9022 


386i 


8536 


3o45 


7 383 


1 544 


55 2 6 


9322 


2 9 3l 


44 


i? 


4276 


9271 


4io6 


8780 


3286 


7620 


i7 79 

' 


' 5 7 5 7 


9 55i 


3i56 


43 


18 


45 2 8 


9 5i 9 


435 2 


9 O23 


35 2 6 


7 85S 


20l3 


5 9 88 


9779 


338i 


42 


J 9 


4779 


9768 


45 9 8 


9 266 


3 7 66 


8095 


2248 


6220 


62000-7 


36o6 


4i 


20 


5o5o3o 


520016 


534844 


54 9 5o 9 


564007 


5 7 8332 


5 9 2482 


6o645 i 


620235 


63383i 


4o 


21 


5 2 8i 


0265 


5ogo 


97 5a 


4247 


85 7 o 


2716 


6682 


o464 


4o56 


3 9 


22 


5532 


o5i3 


5335 


999 5 


448 7 


88o 7 


2 9 5i 


6 9 i4 


0692 


4281 


38 


23 


5 7 83 


0761 


558i 


55o238 


4727 


9 o44 


3i85 


7i45 


0920 


45o6 


37 


24 


6o34 


1010 


582 7 


o48i 


4 9 6 7 


9 28l 


34i 9 


7 3 7 6 


n48 


4 7 3i 


36 


25 


6285 


1258 


6072 


0724 


5207 


9 5i8 


3653 


7607 


i3 7 6 


4 9 55 


35 


26 


6535 


i5o6 


63i8 


o 9 66 


5447 


97 55 


3887 


7 838 


1604 


5i8o 


34 


2 7 


6786 


i?54 


6563 


1209 


568 7 


999 2 


4l2I 


8o6 9 


i83i 


54o5 


33 


28 


7037 


2OO2 


6809 


i45 2 


5 9 27 


58o22 9 


4355 


83oo 


2059 


562 9 


32 


29 


7288 


225l 


7o54 


i6 9 4 


6166 


o466 


458 9 


853i 


228-7 


5854 


3i 


3o 


. F o 7 538 


522499i 537300 


55i 9 3 7 


5664o6 


58o 7 o3 


5 9 4823 


608-761 


6 22 5i5 


636o 7 8 


3o 


3i 


7789 


2747 ! 7545 


2180 


6646 


o 9 4o 


5o5 7 


8 99 2 


2 7 42 


63o3 


29 


32 


8o4o 


2 99 5 ! 779 


2422 


6886 


n 7 6 


52 9 o 


9 223 


2 97 


65 27 


28 


33 


8290 


3242 


8o35 


2664 


7125 


i4i3 


55 2 4 


9 454 


3i 97 


6 7 5i 


2 7 


34 


854i 


3490 


8281 


2 9 7 


7 365 


i65o 


5 7 58 


9 684 


3425 


6 9 76 


26 


35 


8791 


3 7 38 


8526 


3i4 9 


7 6o4 


1886 


5 99 i 


99 i5 


365 2 


7200 


25 


36 


9041 


3 9 86 


8771 


33 92 


7844 


2123 


6225 


6ioi45 


388o 


7 424 


24 


37 


9292 


4234 


9016 


3634 


8o83 


2 35 9 


6458 


o3 7 6 


4io 7 


7 648 


23 


38 


9542 


448 1 


9261 


38 7 6 


83 2 3 


25 9 6 


66 9 2 


0606 


4334 


7 8 7 2 


22 


3 9 


9792 


4729 


9 5o6 


4n8 


8562 


2832 


6 9 25 


o836 


456i 


8096 


21 


4o 


5 ioo43 


524977 


53 97 5i 


55436o 


5688oi 


583o6 9 


5 97 i5 9 


6uo6 7 


624-789 


638320 


20 


4i 


0293 


5224 


999 6 


4602 


9 o4o 


33o5 


7 3 9 2 


I2 97 


5oi6 


8544 


*9 


42 


o543 


5472 


540240 


4844 


9280 


354i 


7 625 


l52 7 


5243 


8 7 68 


18 


43 


o 79 3 


5 7 i 9 


o485 


5o86 


9 5i 9 


3777 


7 858 


I7 5 7 


5470 


8 99 2 


*7 


44 


io43 


5 9 6 7 


0730 


5328 


9758 


4oi4 


8092 


i 9 8 7 


56 97 


9 2l5 


16 


45 


1293 


6214 


o 9 74 


55 7 o 


9997 


425o 


8325 


22I 7 


5 9 23 


9 43 9 


i5 


46 


i543 


646 1 


1219 


58i 2 


5 7 o 2 36 


4486 


8558 


244 7 


6i5o 


9 663 


i4 


4? 


i 79 3 


6709 


1 464 


6o54 


0475 


4722 


8 79 i 


2 6 77 


63 77 


9886 


i3 


48 


2o43 


6 9 56 


1708 


62 9 6 


0714 


4 9 58 


9024 


2 9 7 


66o4 


64ono 


12 


49 


2293 


7203 


i 9 53 


653 7 


O 9 52 


5i 9 4 


9 256 


3i3 7 


683o 


o333 


II 


5o 


5fs543 


52745o 


542197 


556 779 


57ii 9 i 


58542 9 


5 99 48 9 


6i336 7 


62 7 o5 7 


64o55 7 


10 


5i 


2792 


7697 


2442 


7 O2I 


i43o 


5665 


97 22 


35 9 6 


7284 


0-780 


9 


52 


3o42 


7944 


2686 


7 262 


i66 9 


5901 


99 55 


3826 


7 5io 


ioo3 


8 


53 


3292 


8191 


2930 


7 5o4 


I 9 o 7 


6i3 7 


600188 


4o56 


7737 


1226 


7 


54 


354! 


8438 


3i74 


7745 


2146 


63 7 2 


O420 


4285 


7963 


i45o 


6 


55 


3 79 i 


8685 


34i9 


79 8 7 


2384 


6608 


o653 


45i5 


8189 


i6 7 3 


5 


56 


4o4o 


8932 


3663 


8228 


2623 


6844 


o885 


4 7 44 


84i6 


1896 


4 


5 7 


4290 


9179 


3 9 o 7 


846 9 


2861 


779 


1118 


4 9 74 


8642 


2119 


3 


58 


453 9 


9426 4i5r 


8710 


3 1 oo 


7 3i4 


i35o 


5 2 o3 


8868 


2342 


2 


5 9 


4789 


9 6 7 3 ! 43 9 5 


8 9 52 


3338 


7 55o 


1 58 3 


5432 


9 o 9 4 


2565 


I 




59 


58 ! 57 


56 


55 


54 53 


52 51 


50 







Natural Co-sines. 


9 

s 


P.P. , 

to I". 4 ' 18 


4.i3 


4.09 


4-o4 


4.oo 


3. 9 5 


3. 9 o 


3.85 1 3.8o 


3. 7 4 





NATURAL TANGENTS. 



123 



d 

is 


30 


31 


32 


33 


34 


35 


36 


37 


38 


39 




o 


SyySSo 


600861 


624869 


64g4o8 


6745o 9 


700208 


726543 


753554 


781286 


809784 


60 


I 


7738 


1257 


5 27 4 


9821 


4 9 32 


o64i 


6 9 8 7 


4oio 


1754 


810266 


5 9 


2 


8126 


i653 


56 79 


650235 


5355 


1075 


7 43 2 


446 7 


2223 


o 7 48 


58 


3 


85i4 


2049 


6o83 


0649 


5 779 


i5o 9 


7877 


4 9 23 


2692 


1230 


5 7 


4 


8 9 o3 


2445 


6488 


io63 


6203 


i 9 43 


8322 


538o 


3i6i 


1712 


56 


5 


9291 


2842 


68 9 4 


i4 77 


6627 


2 3 77 


8 7 6 7 


583 7 


363i 


2195 


55 


6 


9680 


323 9 


7299 


1892 


7o5i 


2812 


9 2l3 


62 9 4 


4 1 00 


2678 


54 


7 


58oo68 


3635 


774 


23o6 


7 4 7 5 


3246 


9 658 


6 7 5i 


4570 


3i6i 


53 


8 


o45 7 


4o3 2 


8110 


2 7 2I 


7 9 oo 


368i 


7 3oio4 


720 9 


5o4o 


3644 


52 


9 


o846 


4429 85i6 


3i36 


8324 


4n6 


o55o 


7667 


55io 


4i~8 


5i 


10 


58i235 


604827 


628921' 


65355i 


6 7 8 7 4 9 


7 o455i 


7 3o 99 6 


7 58i 2 5 


785981 


8 i 46 i 2 


5o 


ii 


1625 


5224 


9 32 7 


3 9 66 


9i 7 4 


4 9 8 7 


i443 


8583 


645 1 


5o 9 6 


49 


12 


2Ol4 


5622 


97 34 


4382 


9 5 99 


5422 


i88 9 


9 o4i 


6922 


558o 


48 


i3 


24o3 


6019 


63oi4o 


4797 


680025 


5858 


2336 


9 5oo 


7 3 9 4 


6o65 


47 


i4 


2793 


64i7 


o546 


52i3 


o45o 


62 9 4 


2 7 83 


99 5 9 


7 865 


6549 


46 


i5 


3i83 


68i5 


0953 


562 9 


o8 7 6 


6 7 3o 


3 2 3o 


760418 


8336 


7034 


45 


16 


3573 


7213 


i36o 


6o45 


1302 


7 i66 


36 7 8 


0877 


8808 


7 5i 9 


44 


J 7 


3 9 63 


7611 


I7 6 7 


646 1 


I 7 28 


7 6o3 


4i25 


i336 


9280 


8oo5 


43 


18 


4353 


8010 


2174 


6877 


2i54 


8o3 9 


45 7 3 


i 79 6 


97 52 


84 9 i 


42 


X 9 


4743 


84o8 


258i 


7294 


2680 


84 7 6 


5021 


2256 


790225 


8 97 6 


4i 


20 


585i34 


608807 


632 9 88 


657710 


683oo 7 


7o8 9 i3 


7 3546 9 


762716 


79 6 97 


8i 9 463 


4o 


21 


5524 


9205 


33 9 6 


8127 


3433 


9 35o 


5 9 i 7 


3i 7 6 


II 7 


9949 


3 9 


22 


5 9 i5 


9604 


38o4 


8544 


386o 


97 88 


6366 


3636 


1 643 


820435 


38 


23 


63o6 


6iooo3 


421 1 


8 9 6i 


428 7 


710225 


68i5 


4o 97 


2II 7 


O 9 22 


37 


24 


6697 


o4o3 


4619 


9 3 79 


4 7 i4 


o663 


7264 


4558 


2590 


i4o 9 


36 


25 


7088 


0802 


5027 


979 6 


5i42 


I IOI 


77 i3 


5oi 9 


3o64 


i8 97 


35 


26 


74?9 


1201 


5436 


660214 


556 9 


i53 9 


8162 


548o 


3538 


2384 


34 


27 


7870 


1601 


5844 


o63i 


5 997 


i 9 77 


8611 


5 9 4i 


4012 


2872 


33 


28 


8262 


2001 


6253 


io4 9 


6425 


2416 


9 o6i 


64o3 


4486 


336o 


32 


29 


8653 


2401 


6661 


1467 


6853 


2854 


9 5n 


6865 


4961 


3848 


3i 


3o 


589045 


6l28oi 


637070 


661886 


68 7 28i 


713293 


789961 


767827 


79 5436 


824336 


3o 


3i 


9 43 7 


3201 


7479 


23o4 


779 


3 7 32 


7 4o4i i 


7789 


5911 


4825 


2 9 


32 


9829 


36oi 


7888 


2723 


8i38 


4171 


0862 


8252 


6386 


53x4 


28 


33 


590221 


. 4002 


8298 


3i4i 


856 7 


46n 


l3l2 


8 7 i4 


6862 


58o3 


2 7 


34 


o6i3 


4402 


8707 


356o 


8 99 5 


5o5o 


i 7 63 


9.177 


7 33 7 


62 9 2 


26 


35 


1006 


48o3 


9117 


3 979 


9/125 


5490 


22l4 


9 64o 


7 8i3 


6782 


25 


36 


i3 9 8 


5204 


9 52 7 


43 9 8 


9 854 


5 9 3o 


2666 


770104 


8290 


7 2 7 2 


24 


3? 


1791 


56o5 


99 3 7 


48i8 


6 9 0283 


63 7 o 


3ii 7 


0567 


8 7 66 


77 62 


23 


38 


2184 


6006 


640347 


523 7 


o 7 i3 


6810 


356 9 


io3i 


9242 


8252 


22 


3 9 


2 5 77 


64o8 


o 7 5 7 


565 7 


n43 


725o 


4020 


i495 


9719 


8 7 43 


21 


4o 


592970 


616809 


641167 


666o 77 


6 9 i5 7 2 


717691 


7 444 7 2 


771959 


800196 


82 9 234 


2O 


4i 


3363 


7211 


i5 7 8 


64 97 


2003 


8i3 2 


4 9 25 


2423 


0674 


972 5 


I 9 


42 


3 7 5 7 


7 6i3 


1989 


6 9 i 7 


2433 


8573 


53 77 


2888 


n5i 


83o2i6 


18 


43 


4i5o 


8oi5 


2 3 99 


7337 


2863 


9014 


583o 


3353 


1629 


o 7 o 7 


17 


44 


4544 


84i7 


2810 


77 58 


32 9 4 


9 455 


6282 


38i8 


2107 


n 99 


16 


45 


4 9 3 7 


8819 


3222 


8i 79 


3 7 25 


9897 


6 7 35 


4283 


a585 


i6 9 i 


i5 


46 


533i 


9221 


3633 


85 99 


4i56 


720339 


7 i8 9 


4748 


3o63 


2i83 


i4 


4? 


5 7 25 


9624 


4o44 


9 O2O 


458 7 


0781 


7642 


52i4 


3542 


2 6 7 6 


i3 


48 


6iao 


620026 


4456 


9 442 


5oi8 


1223 


8o 9 6 


568o 


4O2I 


3i6 9 


12 


49 


65i4 


0429 


4868 


9 863 


545o 


i665 


854 9 


6i46 


45oo 


3662 


II 


5o 


596908 


620832 


64528o 


6 7 o284 


6 9 588 r 


722108 


7 4 9 oo3 


776612 


804979 


834i55 


10 


Si 


73o3 


1235 


5692 


o 7 o6 


63i3 


2 55o 


9 458 


7078 


5458 


4648 


9 


62 


7698 


i638 


6io4 


1128 


6 7 45 


2 99 3 


99 I2 


7545 


5 9 38 


5i42 


8 


53 


8093 


2042 


65i6 


i55o 


7177 


3436 


7 5o366 


8012 


64i8 


5636 


7 


54 


8488 


2445 


6929 


I 97 2 


7610 


38 7 9 


0821 


8479 


6898 


6i3o 


6 


55 


8883 


2849 


7342 


23 9 4 


8042 


4323 


I2 7 6 


8 9 46 


7 3 79 


6624 


5 


56 


9278 


3253 


77 55 


2817 


8475 


4766 


i 7 3i 


9 4i4 


7 85 9 


7119 


4 


57 


9674 


365 7 


8168 


324o 


8 9 o8 


52IO 


2187 


9881 


834o 


7 6i4 


3 


58 


6ooo6c 


4o6i 


858i 


3662 


9 34i 


5654 


2642 


780349 


8821 


8io 9 


2 


5 9 


o465 


4465 


8 99 4 


4o85 


9774 


6o 9 8 


3o 9 8 


0817 


93o3 


86o4 


I 




59 


58 ' 57 


56 


55 


54 


53 


52 


51 


50 


. 




Natural Co-tangents. 


S 


tor'. 6 - 53 


6.67 


6.82 


6. 97 


7-i4 


7 .3i 


7.5o 


7.70 


7.92 


8.:4 





124 



NATURAL SINES. 



.B 

X 


40 


41 


42 


43 


44 


45 3 


46 


47 


48 


49 







642788 


656o5 9 


66 9 i3i 


68i 99 8 


694658 


707107 


7 i 9 34o 


7 3i354 


7 43i45 


7 54 7 io 


60 


I 


3oio 


6279 


9 34 7 


2211 


4868 


7312 


9 542 


i55 2 


333 9 


4 9 oo 


5 9 


r 


3233 


6498 


9 563 


2424 


5o 77 


7 5i8 


97 44 


i 7 5o 


3534 


5o 9 i 


58 


2 


3456 


6717 


9779 


2636 


5 2 86 


7724 


99 46 


i 9 4 9 


3 7 28 


5a8 2 


57 


4 


36 7 9 


6 9 3 7 


999 5 


a84 9 


5495 


79 2 9 


7 2oi48 


2l4 7 


3 9 23 


5472 


56 


i 


3901 


7i56 


670211 


3o6i 


5 7 o4 


8i34 


o34 9 


2345 


4n 7 


5663 


55 


6 


4124 


7 3 7 5 


0427 


32 7 4 


5913 


834o 


o55i 


2 543 


43i2 


5853 


54 


^ 


4346 


7 5 9 4 


0642 


3486 


6122 


8545 


o 7 53 


2741 


45o6 


6o44 


53 


8 


456 9 


7814 


o858 


36 9 8 


633o 


8 7 5o 


o 9 54 


2 9 3 9 


4 7 oo 


6234 


52 


9 


4791 


8o33 


1074 


3 9 n 


653 9 


8 9 56 


n56 


3i37 


48 9 4 


6425 


5i 


10 


645oi3 


658 2 5 2 


67i28 9 


684i23 


6 9 6 7 48 


7 o 9 i6i 


7 2i35 7 


733334 


7 45o88 


7566i5 


5o 


ii 


5236 


8471 


i5o5 


4335 


6 9 5 7 


9 366 


i55 9 


3532 


5282 


68o5 


4 9 


12 


5458 


8689 


1721 


454 7 


7 i65 


9 5 7 i 


I 7 6o 


3 7 3o 


54 7 6 


6 99 5 


48 


i3 


568o 


8908 


i 9 36 


4 7 5 9 


7 3 7 4 


9776 


I 9 62 


3927 


5670 


7i85 


47 


i4 


5902 


9127 


2l5l 


4971 


7 582 


99 8i 


2i63 


4i25 


5864 


7 3 7 5 


46 


i5 


6124 


9 346 


2 36 7 


5i83 


779 


7ioi85 


2364 


4323 


6057 


7 565 


45 


16 


6346 


9565 


2582 


53 9 5 


7999 


o3 9 o 


2565 


4520 


625i 


77 55 


44 


17 


6568 


9783 


2 797 


5607 


8207 


o5 9 5 


2 7 66 


4717 


6445 


79 45 


43 


18 


6790 


660002 


3oi3 


58i8 


84i5 


0799 


,2 9 6 7 


49i5 


6638 


8i34 


42 


'9 


7012 


O22O 


3228 


6o3o 


86 2 3 


ioo4 


3i68 


5lI2 


6832 


8324 


4i 


20 


64?233 


660439 


6 7 3443 


686242 


6 9 8832 


7II20 9 


7 23369 


7353o 9 


747025 


7 585i4 


4o 


21 


7455 


o65 7 


3658 


6453 


9 o4o 


i4i3 


35 7 o 


55o6 


7218 


8 7 o3 


3 9 


22 


7677 


o8 7 5 


38 7 3 


6665 


9 248 


1617 


3 77 i 


5 7 o3 


7412 


88 9 3 


38 


23 


7898 


1094 


4o88 


6876 


9 455 


1822 


3 97 i 


5 9 oo 


76o5 


9 o82 


37 


24 


8120 


I3l2 


43o2 


7088 


9 663 


2026 


4l 7 2 


6097 


779 8 


9 2 7 i 


36 


25 


834i 


i53o 


45i 7 


7 2 99 


9871 


2280 


43 7 2 


62 9 4 


799 i 


9 46i 


35 


26 


8563 


1748 


4 7 3 2 


7 5io 


700079 


2434 


45 7 3 


64 9 i 


8i84 


9 65o 


34 


27 


8784 


1966 


494 7 


7721 


0287 


263 9 


4773 


6687 


83 77 


9 83 9 


33 


28 


9006 


2184 


5i6i 


79 3 2 


0494 


2843 


4 9 74 


6884 


85 7 o 


7 6oo28 


32 


29 


9227 


2402 


53 7 6 


8i44 


0702 


3o47 


5i 7 4 


7081 


8 7 63 


02 I 7 


3i 


3o 


649448 


662620 


6755 9 o 


688355 


700909 


7i325o 


72 53 7 4 


737277 


7 48 9 56 


7 6o4o6 


3o 


3i 


9669 


2838 


58o5 


8566 


1117 


3454 


55 7 5 


7474 


9 i48 


o5 9 5 


2 9 


32 


9890 


3o56 


60 1 9 


8776 


1 324 


3658 


5 77 5 


7670 


9 34i 


o 7 84 


28 


33 


65oiii 


32 7 3 


6233 


8087 


i53i 


3862 


5 97 5 


7867 


9 534 


97 2 


2 7 


34 


o33 2 


349i 


6448 


9198 


i 7 3 9 


4o66 


6i 7 5 


8o63 


97 26 


1161 


26 


35 


o553 


3 7 o 9 


6662 


9409 


i 9 46 


426 9 


63 7 5 


8 2 5 9 


99 i 9 


i35o 


25 


36 


0774 


3926 


6876 


9620 


2i53 


4473 


65 7 5 


8455 


7 5oin 


i538 


24 


3? 


o 99 5 


4i44 


700.0 


9 83o 


236o 


46 7 6 


6 77 5 


865i 


o3o3 


I 7 2 7 


23 


38 


1216 


436i 


73o4 


690041 


256 7 


488o 


6 97 4 


8848 


o4 9 6 


I 9 i5 


22 


3 9 


i43 7 


45 79 


7 5i8 


O25l 


2 77 4 


5o83 


7 i 7 4 


9 o43 


0688 


2104 


21 


4o 
4i 


*Ai65 7 
1878 


664796 
5oi3 


6 777 32 
7946 


690462 702981 
0672 3i88 


7 i5 2 86 
54 9 o 


7 2 7 3 7 4 
7 5 7 3 


7 3 9 a3 9 
9 435 


7 5o88o 

I0 7 2 


7 622 9 2 

2480 


20 
1 9 


42 


2098 


5 2 3o 


8160 


0882 33 9 5 


56 9 3 


7773 


9 63i 


1264 


2668 


18 


43 


2319 


5448 


83 7 3 


1093 


36oi 


58 9 6 


7972 


9 82 7 


i456 


2856 


i? 


44 


z53 9 


5665 


858 7 


i3o3 


38o8 


6o 99 


8172 


7 4oo23 


1 648 


3o44 


16 


45 


2760 


588 2 


8801 


i5i3 


4oi5 


6302 


83 7 i 


0218 


1840 


3232 


i5 


46 


2980 


6099 


9 oi4 


1723 


4221 


65o5 


85 7 o 


o4i4 


2032 


3420 


i4 


4? 


3200 


63i6 


9228 


i 9 33 


4428 


6708 


8 7 6 9 


o6o 9 


2223 


36o8 


i3 


48 


3421 


6532 


9 44i 


2i43 


4634 


6 9 n 


8 9 6 9 


o8o5 


24i5 


3 79 6 


12 


49 


364i 


6749 


9 65$ 


2353 


484 1 


7113 


9 i68 


IOOO 


2606 


3 9 84 


II 


5o 


t5386i 


666966 


6 79 868 


6 9 2565 


7 o5o47 


7 ' 7 3i6 


7 2 9 36 7 


7 4n 9 5 


7 52 79 8 


7 64i 7 i 


IO 


5i 


4o8i 


7i83 


680081 


2 77 3 


5253 


7 5i 9 


9 566 


i3 9 i 


2 9 8 9 


435 9 


9 


52 


43oi 


7 3 99 


O2 9 5 


2 9 83 


545 9 


772i 


97 65 


i586 


3i8i 


454 7 


8 


53 


452i 


7616 


o5o8 


3192 


5665 


7924 : 9963 


1781 


33 7 2 


4 7 34 


7 


54 


4?4i 


7833 


0721 


3402 


58 7 2 


8i26 ) 7 3oi62 


1976 


3563 


4 9 2I 


6 


55 


4961 


8o4 9 


o 9 34 


36n 


6078 


8329' o36i 


2171 


3 7 55 


5io 9 


5 


56 


5i8o 


8 2 65 


n4 7 


382i 


6284 


853i 


o56o 


2 366 


3 9 46 


52 9 6 


4 


57 


54oo 


8482 


i36o 


4o3o 


648 9 


8 7 33 


o 7 58 


2 56i 


4i3 7 


5483 


3 


58 


5620 


86 9 8 


i5 7 3 


424o 


66 9 5 


8936 


o 9 5 7 


2 7 55 


4328 


56 7 o 


a 


J9 


583 9 


8 9 i4 


1786 


444 9 6901 


9 i38 


n55 


2 9 5o 


45i 9 


585 7 


1 > 




49 


48 


47 


46 


45 


44 


43 


42 


41 


40 


c 




Natural Co-sines. 


y 


P. P. , f 
tol". 3 ' 6 9 


3.63 


3.5 7 


3.5 2 


3.46 


3.4o 


3.34 


3.27 


3.21 


3.i5 





NATURAL TANGENTS. 



125 



i 

_J 


40 


41 


42 


43 


44 


45 


46 


47 


48 


49 




o 


839100 


869287 


9 oo4o4, 9 325i5 


965689 


I.OOOOO 


i.o3553 


1.07237 


i. 11061 


i.i5o37 


60 


I 


9 5 9 5 


9798 


oq3i l 3o5 9 


625i 


oo58 


36i3 


7299 


1126 


5io4 


5 9 


2 


840092 


870309 


i458 


36o3 


68:4 


0116 


36 7 4 


7362 


i i 9 i 


5172 


58 


3 


o588 


0820 


i 9 85 


4i48 


7 3 77 


oi 7 5 


3 7 34 


7425 


1256 


fo4o 


57 


4 


1084 


i33 2 


25i3 


46 9 3 


7 9/.o 


oa33 


3 79 4 


7 48 7 


l32I 


53o8 


56 


5 


i58i 


i843 


3o4i 


5a38 


85o4 


0291 


3855 


7 55o 


1387 


53 7 5 


55 


6 


2078 


2356 


356 9 


5 7 83 


9o6 7 


o35o 


3 9 i5 


7 6i3 


i452 


5443 


54 


7 


2 5 7 5 


2868 


4o 9 8 


632 9 


9632 


0408 


3 97 6 


7676 


i5i7 


55 ii 


53 


8 


3o 7 3 


338i 


4627 


68 7 5 


9 7 oi96 


o46 7 


4o36 


7738 


i582 


55 79 


52 


9 


35 7 i 


38 9 4 


5x56 


7422 


o 7 6i 


o5 2 5 


4o 9 7 


7801 


1 648 


5647 


5i 


10 


844069 


874407 


9 o5685 


9 37 9 68 


9 7 i326 


i.oo583 


I.o4i58 


1.07864 


1.11713 


i. 15716 


5o 


ii 


456 7 


4920 


62i5 


85i5 


1892 


0642 


4218 


7927 


1778 


5783 


49 


12 


5o66 


5434 


6 7 45 


9 o63 


2458 


O 7 OI 


42 79 


799 


1 844 


585i 


48 


i3 


5564 


5 9 48 


7 2 7 5 


9 6io 


3o24 


7 5 9 


434o 


8o53 


1909 


5919 


47 


i4 


6o63 


6462 


78o5 


9 4oi58 


3590 


0818 


44oi 


8116 


i 97 5 


5 9 8 7 


46 


i5 


656a 


69.76 


8336 


0706 


4i5 7 


o8 7 6 


446 1 


8179 


2041 


6o56 


45 


16 


7062 


74 9 i 


8867 


1255 


4 7 24 


0935 


4522 


8243 


2106 


6124 


44 


17 


7562 


8006 


9 3 9 8 


i8o3 


5291 


0994 


4583 


83o6 


2172 


6192 


43 


18 


8062 


852i 


99 3o 


2352 


5859 


io53 


4644 


836 9 


2238 


6261 


42 


*9 


8562 


9 o3 7 


9 io462 


2 9 O2 


642 7 


III2 


4 7 o5 


8432 


23o3 


6329 


4i 


20 


849062 


87 9 553 


9 io 99 4 


9 4345i 


97 6 99 6 


I.OII7O 


i.o4 7 66 


1.08496 


1.12369 


i.i63 9 8 


4o 


21 


9 563 


88oo6 9 


i526 


4ooi 


7564 


1229 


482-7 


855g 


2435 


6466 


3 9 


22 


85oo64 


o585 


2o5 9 


455 2 


8i33 


1288 


4888 


8622 


25oi 


6535 


38 


23 


o565 


1102 


25 9 2 


5l02 


8 7 o3 


1 347 


4 9 4 9 


8686 


2567 


66o3 


37 


24 


1067 


l6l 9 


3i25 


5653 


9 2 72 


i4o6 


5oio 


8 7 49 


2633 


6672 


36 


25 


i568 


2i36 


365 9 


6204 


9842 


i465 


5o 7 2 


88i3 


2699 


6741 


35 


26 


2070 


2653 


4i 9 3 


6756 


980413 


i524 


5i33 


8876 


2765 


6809 


34 


2 7 


25 7 3 


3l ?I 


4727 


7 3o 7 


0983 


i583 


5i 9 4 


8940 


2 83i 


6878 


33 


28 


3o 7 5 


368 9 


526i 


7 85 9 


i554 


1 642 


5 2 55 


9003 


2897 


6 9 47 


32 


29 


3578 


4207 


5 79 6 


8412 


2126 


1702 


53i 7 


9067 


2 9 63 


7016 


3i 


3o 


854o8i 


884725 


9 i633i 


9 48g65 


98269*7 


1.01761 


1.06378 


1.09131 


1.13029 


1.17085 


3o 


3i 


4584 


5244 


.6866 


9 5!8 


3269 


1820 


543 9 


9 i 9 5 


3096 


7i54 


9 9 


32 


5o8 7 


5763 


'7402 


950071 


3842 


1879 


55oi 


9 258 


3i62 


7223 


28 


33 


55 9 i 


6282 


79 38 


0624 


44i4 


1939 


5562 


9322 


3228 


7292 


27 


34 


6095 


6802 


8474 


1178 


4 9 8 7 


1998 


5624 


9 386 


32 9 5 


736i 


26 


35 


65 9 9 


7321 


9 oio 


I 7 33 


556o 


2057 


5685 


945o 


336i 


7 43o 


25 


36 


7104 


7842 


9 54? 


2287 


6i34 


2117 


5 7 4 7 


95i4 


3428 


75oo 


24 


37 


7608 


8362 


920084 


2842 


6 7 o8 


2176 


58o 9 


9 5 7 8 


3494 


7 56 9 


23 


38 


8n3 


8882 


0621 


33 97 


7282 


2236 


58 7 o 


9 642 


356i 


7638 


22 


3 9 


8619 


94o3 


iiSg 


3 9 53 


7 85 7 


2295 


5 9 32 


97 o6 


3627 


7708 


21 


4o 


859124 


889924 


921697 


9 545o8 


988432 


1.02355 


i.o5 99 4 


i.o 9 77o 


1.13694 


1.17777 


2O 


4i 


9630 


890446 


2235 


5o64 


9oo 7 


24i4 


6o56 


9 834 


3 7 6i 


7 846 


J 9 


42 


86oi36 


0967 


2 77 3 


562i 


9 58 2 


2474 


6117 


9 8 99 


38 2 8 


7916 


18 


43 


o64a 


i48 9 


33i2 


6177 


99oi58 


2533 


6179. 


o 9 63 


38 9 4 


7986 


l l 


44 


n48 


2OI2 


385i 


6734 


o 7 35 


2 5 9 3 


6241 


1.10027 


3 9 6i 


8o55 


16 


,43 


i655 


2534 


4390 


720.2 


i3n 


2653 


63o3 


oo 9 i 


4028 


8i25 


i5 


46 


2162 


3o5 7 


493o 


7849 


1888 


2713 


6365 


oi56 


4095 


8194 


i4 


4? 


2669 


358o 


5470 


84o 7 


2465 


2772 


6427 


O22O 


4162 


8264 


i3 


48 


3i 77 


4io3 


6010 


8 9 66 


3o43 


2832 


6489 


0285 


4229 


8334 


12 


49 


3685 


4627 


655i 


9 524 


362i 


280.2 


655i 


. o34 9 


4296 


84o4 


II 


5o 


864i93 


8 9 5i5i 


927091 


9 6oo83 


994199 


I.O2 9 52 


i.o66i3 


i.io4i4 


r. 14363 


i.i8474 


10 


5i 


4701 


56 7 5 


7632 


0642 


4 77 8 


3012 


6676 


0478 


443o 


8544 


9 


52 


5209 


6199 


8174 


I2O2 


535 7 


3072 


6 7 38 


o543 


4498 


86i4 


8 


53 


5 7 i8 


6724 


8 7 i5 


1761 


5 9 36 


3i32 


6800 


0607 


4565 


8684 


7 


54 


6227 


7249 9257 


2322 


65i5 


3l 9 2 


6862 


0672 


4632 


8 7 54 


6 


55 


6 7 36 


7774 


9800 


2882 


79 5 


3252 


6 9 25 


o 7 3 7 


4699 


8824 


5 


56 


7246 


8299 


93o342 


3443 


7 6 7 6 


33i2 


6 9 8 7 


0802 


4 7 6 7 


88 9 4 


4 


5? 


7756 


8825 


o885 


4oo4 


8256 


3372 


7049 


0867 


4834 


8964 


3 


58 


8266 


9 35i 


i4a8 


4565 


883 7 


3433 


7112 


o 9 3i 


4902 


9o35 


2 


5 9 


8776 


9877 


1971 


5127 


94i8 


34 9 3 


7174 


o 99 6 


4969 


9io5 


I 




49 


48 


47 


46 


45 


44 


43 


42 41 


40 . 




Natural Co-tangents. 


*g 


P. P Q OQ 

tol". 8 " 38 


8.64 


8.92 


9 21 


9 .53 


0.99 1.02 I. 06 


i. 10 i.i5 



126 



NATURAL SINES. 



A 

X 


50 C 


51 


52 


53 


54 


55 


56 


57 


58 


59 







766044 


777146 


788011 


7 9 8636 


809017 


819152 


829038 


8386 7 i 


848o48 


85 7 i6 7 


60 


I 


623i 


?329 


8190 


8811 


9188 


9 3i 9 


9200 


882 9 


8202 


73i7 


5 9 


2 


64x8 


7512 


8369 


8 9 85 


9 35 9 


9486 


9 363 


8 9 8 7 


8356 


746 7 


58 


3 


66o5 


7 6 9 5 


8548 


9160 


953o 


9662 


9 5 2 5 


9 i46 


85io 


7616 


57 


4 


6792 


7878 


8727 


9 335 


9700 


9819 


9688 


9 3o4 


8664 


7766 


56 


5 


6979 


8060 


8905 


95io 


9871 


99 85 


9 85o 


9 462 


8818 


79 i5 


55 


6 


7 i65 


8243 


9084 


9 685 


810042 


820152 


83ooi2 


9 62O 


8.972 


8o65 


54 


7 


7352 


8426 9263 


9 85 9 


O2I2 


o3i8 


0174 


9778 


9125 


8214 


53 


8 


7 538 


8608; 9441 


8ooo34 


o383 


o485 


o33 7 


99 36 


9279 


8364 


52 


9 


7725 


8791 


9620 


0208 


o553 


o65i 


o4 99 


84oo 9 4 


9 433 


85i3 


5i 


10 


767911 


778973 


789798 


8oo383 


810723 


820817 


83o66i 


84o25i 


849586 


858662 


5o 


ii 


8097 


9 i56 


9977 


o55 7 


0894 


o 9 83 


0823 


o4o 9 


97 3 9 


8811 


49 


12 


8284 


9338 


79Oi55 


0731 


1064 


n4 9 


o 9 84 


o56 7 


9 8 9 3 


8 9 6o 


48 


i3 


8470 


9520 


o333 


o 9 o6 


1234 


i3i5 


n46 


0724 


85oo46 


9 io 9 


47 


i4 


8656 


9702 


o5ii 


1080 


i4o4 


i48i 


i3o8 


0882 


oi 99 


9 258 


46 


i5 


8842 


9884 


0690 


1254 


i5 7 4 


i647 


i4 7 o 


io3 9 


o35 2 


9 4o6 


45 


16 


9028 


780067 


0868 


1428 


1744 


i8i3 


i63i 


1 196 


o5o5 


9555 


44 


7 


9214 


0249 


io46 


1602 


1914 


1978 


i7 9 3 


1 3 54 


o658 


9 7o4 


43 


18 


9400 


o43o 


1224 


1776 


2084 


2i44 


i 9 54 


i5n 


0811 


9 852 


42 


J 9 


9585 


0612 


i4oi 


i 9 4 9 


2253 


23lO 


2Il5 


1668 


o 9 64 


860001 


4i 


20 


769771 


780794 


791579 


802123 


812423 


822475 


832277 


84i825 


85iu 7 


86oi4 9 


4o 


21 


99 5 7 


0976 


1757 


2297 


2592 


2641 


2438 


I 9 82 


I26 9 


02 9 7 


3 9 


22 


770142 


n5 7 


1935 


2470 


2762 


2806 


2 5 99 


2l3 9 


1422 


o446 


38 


23 


o3 2 8 


i33 9 


21 12 


2644 


2g3i 


2 97 I 


2760 


2296 


i5 7 5 


o5 9 4 


37 


24 


o5i3 


l520 


2290 


2817 3ioi 


3i36 


2 9 2I 


2452 


1727 


0742 


36 


25 


0699 


1702 


2467 


2991 


3270 


33o2 


3082 


26o 9 


1879 


o8 9 o 


35 


26 


o884 


i883 


2644 


3i64 


343 9 


346 7 


3243 


2766 


2032 


io38 


34 


27 


1069 


2o65 


2822 


333 7 


36o8 


3632 


34o4 


2922 


2184 


1186 


33 


28 


1254 


2246 


2999 


35n 


3 77 8 


3797 


3565 


3o 79 


2336 


i334 


32 


29 


i44o 


2427 


3176 


3684 


3^7 


3 9 6i 


3 7 25 


3235 


2488 


i48i 


3i 


3o 


771625 


782608 


793353 


8o385 7 


8i4n6 


824126 


833886 


8433 9 i 


85264o 


861620. 


3o 


3i 


1810 


2789 


353o 


4o3o 


4284 


42 9 I 


4o46 


3548 


2 79 2 


1777 


29 


32 


i 99 5 


2970 


3 7 o 7 


4203 


4453 


4456 


4207 


3 7 o4 


2 9 44 


I 9 24 


28 


33 


2179 


3i5i 


3884 


43 7 6 


4622 


4620 


436 7 


386o 


3o 9 6 


2072 


27 


34 


2364 


3332 


4o6i 


4548 


4791 


4?85 


452 7 


4oi6 


3248 


2219 


26 


35 


2549 


35i3 


4238 


4721 


4959 


4 9 4 9 


4688 


4172 


33 99 


2366 


25 


36 


2 7 34 


36 9 3 


44i5 


48 9 4 


5i28 


5u3 


4848 


4328 


355i 


2 5i4 


24 


3? 


2918 


38 7 4 


45 9 i 


5o66 


5296 


5278 


5oo8 


4484 


3702 


2661 23 


38 


3io3 


4o55 


4768 


5239 


5465 


5442 


5i68 


464o 


3854 


28"- 


3 9 


3287 


. 4235 


4944 


' 54n 


5633 


56o6 


53 2 8 


4795 


4oo5 


2 9 55 


21 


4o 


773472 


784416 


795121 


8o5584 


8i58oi 


825770 


835488 


84495i 


854i56 


863io2 


2O 


4i 


3656 


45 9 6 


5297 


6756 


5 9 6 9 


5 9 34 


5648 


5io6 


43o8 


3249 19 


42 


384o 


4776 


5473 


5928 


6i38 


6o 9 8 


58o 7 


5262 


445 9 


33 9 6 1 8 


43 


4024 


4 9 5 7 


565o 


6100 


63o6 


6262 


5967 


54i7 


46io 


3542 17 


44 


4209 


5i3 7 


5826 


6273 


64?4 


6426 


6127 


55 7 3 


4761 


36-Sy 1 6 


45 


43 9 3 


53i7 


6002 


6445 


6642 


65 9 o 


6286 


5728 


4 9 I2 


3836 1 5 


46 


45 77 


54 97 


6178 


6617 


6809! 6 7 53 


6446 


5883 


5o63 


3982 14 


4? 


4761 


56 7 7 


6354 


6788 


6977! 6917 


66o5 


6o38 


52i4 


4128 i3 


48 


4944 


585 7 


653o 


6960 


7i45 7081 


6 7 64 


6i 9 3 


5364 


42 7 5 12 


49 


5i28 


6o3 7 


6706 


7i32 


7 3i3 7244 


6 9 24 


6348 


55i5 


44ai ii 


5o 


775312 


786217 


796882 


807304 


817480 


827407 


837083 


8465o3 


855665 


86456 7] 10 


5i 


5496 


63 9 6 


7 5 7 


7 4 7 5 


7 648 


7571 


.7242 


6658 


58:6 


4 7 i3| 9 


52 


56 7 9 


6576 


7 233 


7 64 7 


7 8i5 


77 34 


74oi 


68i3 


5 9 66 


486o] 8 


53 


5863 


6 7 56 


7408 


7818 


7982 


7897 


7 56o 


6 9 67 


61 17 


5oo6 


7 


54 


6o46 


6935 


7584 


799 


8i5o 


8060 


77i 9 


7122 


6267 


5i5i 


6 


55 


623o 


7114 


77 5 9 


8161 


83i 7 


8223 


7878 


7277 


6417 


52 97 


5 


56 


64i3 


7 2 94 


79 35 


8333 


8484 


8386 


8o36 


743 1 


656 7 


5443 


4 


5? 


6596 


7 4 7 3 


8no 


85o4 


865i 


8549 


8i 9 5 


7585 


6 7 i8 


558 9 


3 


58 


6780 


7652 


8285 


86 7 5 


8818 


8712 


8354 


77 4o 


6868 


5 7 34 


2 


5 9 


6 9 63 


7 832 


846o 


8846 


8985 


88 7 5 


85i2 


78 9 4 


7017 


588o 


I 




39 


38 


37 


36 


35 


34 


33 


32 


31 


30 J 


s 




Natural Co-sines. 


i 


P P. t 
tol// 3.o8 


3.02 


2. 9 5 


2.88 s.8i 


t. 7 5 


2.68 2.60 


2.53 2.46 





NATURAL TANGENTS. 



12 



4 

x 


50 


51 


52 


53 


54 


55 


56 


57 


58 


59 




o 


1.19175 


1.23490 


1.27994 


1.32704 


1.37638 


1.42815 


1.48256 


1.53986 


i.6oo33 


i 66428 


60 


I 


9246 


3563 


8071 


a 7 85 


7722 


2 9 o3 


834 9 


4o85 


0137 


6538 


5 9 


2 


93:6 


363 7 


8i48 


2865 


7807 


2$ 9 2 


8442 


4i83 


024l 


6647 


58 


3 


9 38 7 


3710 


8225 


2946 


7891 


3o8o 


8536 


4281 


o345 


6 7 5 7 


5 7 


4 


9457 


3784 


83o2 


3026 


7976 


3i6 9 


862 9 


43 79 


o44g 


6867 


56 


5 


9 528 


3858 


83 79 


3107 


8060 


3 2 58 


8722 


447 


o553 


6 97 8 


55 


6 


9^99 


3 9 3i 


8456 


3i8 7 


8i45 


334 7 


8816 


45 7 6 


0657 


7088 


54 


7 


9669 


4oo5 


8533 


3268 


8229 


3436 


8 9 o 9 


46 7 5 


0761 


7 i 9 8 


53 


8 


9740 


4079 


8610 


3349 


83i4 


35 2 5 


9 oo3 


4774 


o865 


7 3o 9 


52 


9 


9811 


4i53 


8687 


343o 


83 99 


36i4 


997 


48 7 3 


o 97 o 


7 4i 9 


5i 


10 


1.19882 


1.24227 


1.28764 


i.335ii 


1.38484 


1.43703 


i.4 9 i 9 o 


1.54972 


1.61074 


1.67530 


5o 


ii 


99 53 


43oi 


8842 


35 9 2 


8568 


3 79 2 


9 284 


5071 


"79 


7 64i 


49 


12 


1.20024 


43 7 5 


8 9 i 9 


36 7 3 


8653 


388i 


9 3 7 8 


5170 


1283 


7752 


48 


i3 


oogS 


4449 


8 997 


3 7 54 


8 7 38 


3 97 o 


9 472 


5269 


1 388 


7863 


4? 


i4 


0166 


45 2 3 


9 o 7 4 


3835 


8824 


4o6o 


9 566 


5368 


i4 9 3 


7974 


46 


i5 


0237 


45 97 


9 l52 


3916 


8909 


4i4 9 


9 66i 


546 7 


i5 9 8 


8o85 


45 


16 


o3o8 


4672 


9229 


3998 


8994 


423 9 


97 55 


556 7 


1703 


8i 9 6 


44 


i? 


3 79 


4?46 


9 3 7 


4079 


9079 


432 9 


9 84 9 


5666 


1808 


83o8 


43 


18 


o45i 


4820 


9 385 


4i6o 


9 i65 


44i8 


99 44 


5 7 66 


i 9 i4 


8419 


42 


J 9 


O522 


48 9 5 


9 463 


4242 


925o 


45o8 


i.5oo38 


5866 


20I 9 


853i 


4i 


20 


1.20593 


1.24969 


i.2 9 54i 


1.34323 


1.39336 


1.44598 


i.5oi33 


1.55966 


I.62I25 


1.68643 


4o 


21 


o665 


5o44 


9 6i8 


44o5 


9421 


4688 


0228 


6o65 


2230 


8 7 54 


3 9 


22 


o 7 36 


5n8 


9 6 9 6 


448 7 


9 5 7 


4778 


0322 


6i65 


2336 


8866 


38 


23 


0808 


5i 9 3 


977 5 


4568 


. 9 5 9 3 


4868 


0417 


6265 


2442 


8979 


37 


24 


0879 


5268 


9 853 


465o 


9 6 79 


4 9 58 


o5i2 


6366 


2548 


99 ; 


36 


25 


095 1 


5343 


99 3i 


4732 


9764 


5o4g 


0607 


6466 


2654 


9 2o3 


35 


26 


1023 


54i7 


i.3ooo 9 


48i4 


9 85o 


5i3 9 


0702 


6566 


2760 


9 3i6 


34 


27 


1094 


5492 


0087 


4896 


99 36 


522 9 


0797 


666 7 


2866 


9 428 


33 


28 


1166 


556 7 


0166 


4978 


1.40022 


5320 


o8 9 3 


6 7 6 7 


2 9 72 


9 54i 


32 


29 


1238 


5642 


0244 


5o6o 


oio 9 


54io 


0988 


6868 


3o 79 


9 653 


3i 


3o 


I.2l3lO 


1.25717 


i.3o323 


i.35i4a 


i.4oi 9 5 


i.455oi 


i.5io84 


1.56969 


i.63i85 


1.69766 


3o 


3i 


i382 


5792 


o4oi 


5224 


0281 


55 9 2 


1179 


7069 


32 9 2 


9 8 79 


2 9 


32 


i454 


5867 


o48o 


53o7 


o36 7 


5682 


1275 


7170 


33 9 8 


999 2 


28 


33 


i526 


5 9 43 


o558 


538 9 


o454 


5 77 3 


1370 


7271 


35o5 


1.70106 


27 


34 


i5 9 8 


6018 


0637 


5472 


o54o 


5864 


i486 


7 3 7 2 


36i2 


0219 


26 


35 


1670 


6093 


0716 


5554 


0627 


5 9 55 


i562 


7474 


3 7 i 9 


o332 


25 


36 


1742 


6169 


79 5 


5637 


0714 


6o46 


i658 


7 5 7 5 


3826 


o446 


24 


3? 


1814 


6244 


0873 


57i 9 


0800 


6i3 7 


1754 


7676 


3 9 34 


o56o 


23 


38 


1886 


63i 9 


O 9 52 


58o2 


0887 


622 9 


i85o 


7778 


4o4i 


0673 


22 


3 9 


1959 


63 9 5 


io3i 


5885 


o 9 74 


6320 


1946 


7879 


4i48 


0787 


21 


4o 


I.22o3l 


1.26471 


i.3uio 


1.35968 


1.41061 


i.464ii 


i.52o43 


1.57981 


1.64256 


1.70901 


20 


4i 


2104 


6546 


II 9 


6o5i 


n48 


65o3 


2139 


8o83 


4363 


ioi5 


J 9 


42 


2176 


6622 


I26 9 


6i34 


1235 


65 9 5 


2235 


8i84 


447i 


1129 


18 


43 


2249 


6698 


1 348 


6217 


l322 


6686 


2332 


8286 


45 79 


1244 


i? 


44 


2321 


6 77 4 


1427 


63oo 


i4o 9 


6778 


2429 


8388 


468 7 


i358 


16 


45 


2394 


684 9 


i5o7 


6383 


i4 9 7 


8870 


2525 


8490 


479 5 


i473 


i5 


46 


2467 


6925 


i586 


6466 


1 584 


6 9 62 


2622 


85 9 3 


4903 


1 588 


i4 


4? 


2539 


7001 


1666 


6549 


1672 


7o53 


2719 


86 9 5 


5ou 


1702 


i3 


48 


26l2 


7077 


1745 


6633 


i 7 5 9 


7i46 


2816 


8797 


5l2O 


1817 


12 


49 


2685 


7i53 


i8 2 5 


6716 


1847 


7238 


2913 


8900 


5228 


1932 


II 


5o 


1.22768 


1.27230 


i.3i 9 o4 


i.368oo 


1.41934 


i.4733o 


i. 53oio 


1.59002 


1.65337 


1.72047 


IO 


5i 


2 83i 


73o6 


1984 


6883 


2O22 


7 422 


3107 


9106 


5445 


ai63 


9 


52 


2904 


7382 


2064 


6967 


2IIO 


75i4 


32o5 


9208 


5554 


2278 


8 


53 


2977 


7458 


2144 


7o5o 


2I 9 8 


7607 


33o2 


9 3u 


5663 


2 3 9 3 


7 


54 


3o5o 


7535 


2224 


7i34 


2286 


7699 


34oo 


94i4 


5 77 2 


2609 


6 


55 


3i23 


7611 


23o4 


7218 


23 7 4 


779 2 


34 97 


9 5i 7 


588i 


2625 


5 


56 


8196 


7688 


2384 


7302 


2462 


7 885 


35 9 5 


9620 


5 99 o 


2741 


4 


5? 


3270 


77 64 


2464 


7 386 


255o 


7977 


3693 


97 23 


6o 99 


2867 


3 


58 


3343 


7841 


2544 


7470 


2638 


8070 


3 79 i 


0826 


62O 9 


2 97 3 


2 


5 9 


34i6 


7917 


262^ 


7554 


2726 


8i63 


3888 


99 3o 


63i8 


3o8 9 


I 




39 


38 


37 


36 


35 


34 


33 


32 31 


30 


a 




Natural Co-tangents. 


P. P. 

to I". 1 ' 80 


1.25 


i.3i 


r.3 7 


i.44 


i.5i 


i.5 9 


1.68 


1.78 


1.88 





NATURAL SINES. 



1 60 


61 


62 


63 


64 


65 


66 


67 1 68 


69 




o 


866025 


8-74620 


882948 


8 9 ioo7 


8 9 8 79 4 


9 o63o8 


9 i3545 


9 2o5o5' 92718^ 


9 3358o 


60 


i 


6171 


4?6i 


3o84 


n3 9 


8 9 22 


643 1 


3664 


0618 


7 2 9 3 


3685 5 9 


2 


63i6 


4902 


3221 


1270 


9 o4 9 


6554 


3782 


0732 


7 402 


378 9 58 


3 


646i 


5o42 


335 7 


1402 


9 i 7 6 


6676 


3 9 oo 


o846 


7 5io 


38 9 '-) 5 7 


L 


6607 


5i83 


3493 


i534 


9 3o4 


6 7 99 


4oi8 


o 9 5 9 


76i 9 


3 997 56 


t 


6762 


5324 


3629 


1666 


9 43i 


6 9 22 


4i36 


1072 


77 28 


4ioi 55 


6 


6897 


5465 


3 7 66 


1798 


9 558 


7044 


4254 


n85 


7 836 


4204 54 


7 


7042 


56o5 


3902 


1929 


9 685 


7166 


43 7 2 


i2 99 


79 45 


43o8 53 


8 


7187 


5 7 46 


4o38 


2061 


9812 


728 9 


44 9 o 


1412 


8o53 


44i2 


52 


9 


7 33i 


5886 


4i 7 4 


2192 


99 3 9 


?4n 


46o 7 


i5 2 5 


8161 


45i5 


5i 


10 


867476 


8-76026 


884309 


892323 


9 ooo65 


9 07533 


9 i4 7 25 


9 2i638 


9 282 7 O 


9 346i 9 


5o 


ii 


7621 


6i6 7 


4445 


2455 


OI 9 2 


7 655 


4842 


1750 


83 7 8 


4722 


4 9 


12 


77 65 


63o 7 


458i 


2586 


o3i 9 


7777 


4 9 6o 


i863 


8486 


4826 


48 


l2 


7910 


644 7 


4717 


2717 


o44-5 


7 8 99 


5o 77 


i 97 6 


85 9 4 


4 9 2 9 


47 


i4 


8o54 


658 7 


4852 


2848 


05 7 2 


8021 


5i 9 4 


2088 


8 7 02 


5o32 


46 


i5 


8199 


6 7 2 7 


4988 


2979 


o6 9 8 


8i43 


53n 


2201 


8810 


5i35 


45 


16 


8343 


6867 


5i23 


3no 


0825 


8265 


542 9 


23l3 


8 9 i 7 


5238 


44 


17 


848 7 


7006 


5 2 58 


324l 


o 9 5i 


838 7 


5546 


2426 


9025 


534i 


43 


18 


863a 


7 i46 


53 9 4 


33 7 i 


io 77 


85o8 


5663 


2538 


9 i33 


5444 


42 


*9 


8776 


7286 


552 9 


35o2 


1203 


863o 


5 779 


265o 


9240 


5547 


4i 


20 


868920 


8 77 425 


885664 


8 9 3633 


9 oi32 9 


9 o875i 


9 i58 9 6 


922762 


929348 


9 3565o 


4o 


21 


9064 


7 565 


5-799 


3 7 63 


1455 


8872 


6oi3 


28 7 5 


9 455 


6762 


3 9 


22 


9207 


77 o4 


5 9 34 


3894 


i58i 


8 99 4 


6i3o 


2986 


9-662 


5855 


38 


23 


9 35i 


7 844 


6069 


4024 


I 77 


9 n5 


6246 


3o 9 8 


9669 


5 9 5 7 


37 


24 


9 4 9 5 


7983 


6204 


4i54 


i833 


9 236 


6363 


3210 


977 6 


6060 


36 


26 


9 63 9 


8122 


6338 


4284 


i 9 58 


9 35 7 


64 79 


3322 


9 884 


6162 


35 


26 


9782 


8261 


64 7 3 


44i5 


2084 


9 478 


65 9 5 


3434 


999 


6264 


34 


27 


9926 


84oo 


6608 


4545 


2209 


9 5 99 


6 7 I2 


3545 


9 3oo 97 


6366 


33 


28 


870069 


8539 


6 7 42 


46 7 5 


2335 


97 20 


6828 


3657 02 4 


6468 


32 


29 


O2I2 


86 7 8 


68 7 6 


48o5 


2460 


9 84i 


6 9 44 


3 7 68| o3n 


65 7 o 


3i 


3o 


8 7 o356 


8 7 88i 7 


88-7011 


894934 


9 o 2 585 


9 o 99 6i 


9 i 7 o6o 


923880 930418 


9 366 7 2 


3o 


3i 


o499 


8 9 56 


7 i45 


5o64 


2710 


9 ioo82 


7 i 7 6 


3 99 i 


0624 


6 77 4 


29 


32 


0642 


9095 


7 2 79 


5i94 


2836 


O2O2 


7 2 9 2 


4lO2 


o63i 


68 7 6 


28 


33 


o 7 85 


9233 


7 4i3 


5323 


2 9 6l 


o323 


7 4o8 


42i3 


o 7 3 7 


6 97 7 


2-7 


34 


0928 


9 3 7 2 


7 548 


5453 


3o86 


0443 


7 523 


4324 


o843 


77 9 


26 


35 


1071 


95io 


7 68i 


5582 


3210 


o563 


7 63 9 


4435 


o 9 5o 


7 i8i 


23 


36 


I2l4 


9649 


7 8i5 


5712 


3335 


o684 


77 55 


4546 


io56 


-7282 


24 


3? 


i35 7 


9787 


79 4 9 


584i 


346o 


0804 


7 8 7 o 


465 7 


1162 


7 383 


23 


38 


1499 


9925 


8o83 


5970 


3585 


o 9 24 


79 86 


4 7 68 


1268 


7 485 


22 


3 9 


1642 


88oo63 


82I 7 


6099 


3 7 9 


io44 


8101 


48 7 8 


i3 7 4 


7 586 


21 


4o 


871784 


880201 


88835o 


896229 


9 o3834 


9 i i i 64 


9 i82i6 


924989 


9 3i48o 


9 3 7 68 7 


2O 


4i 


1927 


o33 9 


8484 


6358 


3 9 58 


1284 


833i 


5099 


1 586 


7788 


1 9 


42 


2069 


o4 77 


86i 7 


6486 


4o83 


i4o3 


8446 


52IO 


i6 9 i 


7 88 9 


18 


43 


2212 


o6i5 


8751 


66i5 


4207 


i523 


856i 


53 2 o| 1797 


799 o 


17 


44 


2354 


o 7 53 


8884 


6 7 44 


433i 


i643 


86 7 6 


543o 1902 


8o 9 i 


16 


45 


2496 


0891 


9017 


68 7 3 


4455 


1762 


8 79 i 


554i 2008 


8i 9 i 


i5 


46 


2638 


1028 


9 i5o 


7001 


45 79 


1881 


8 9 o6 


565i 2ii3 


82 9 2 


i4 


.4? 


2780 


1166 


9 283 


7i3o 


4 7 o3 


2OOI 


9 02I 


5761 2219 


83 9 3 


i3 


48 


2922 


i3o3 


9 4i6 


7258 


4827 


2120 


9 i35 


5871 2324 


84 9 3 


12 


49 


3o64 


i44i 


9 54 9 


7 38 7 


4 9 5i 


223 9 


9 25o 


5980 2429 


85 9 3 


II 


5o 


873206 


88i5 7 8 


889682 


8 97 5i5 


505075 


9 i2358 


9 i 9 364 


926090 932534 


9 386 9 4 


ro 


5i 


334y 


1716 


9815 


7 643 


5i 9 8 


2477 


9 47 9 


6200 263 9 


8-794 


9 


52 


348 9 


i853 


99 48 


7771 


5322 


25 9 6 


9 5 9 3 


63io 2744 


88 9 4 


8 


53 


363i 


1990 


8 9 oo8o 


7 9 oo 


5445 


2715 


97 o 7 


64i 9 284 9 


8 99 4 


7 


54 


3 77 2 


2127 


02l3 


8028 


556 9 


2834 


9 82I 


652 9 2 9 54 


9094 


6 


55 


3 9 i4 


2264 


o345 


8i56 


56 9 2 


2 9 53 


99 36 


6638; 3o58 


9 i 9 4 


5 


56 


4o55 


24OI 


o4 7 8 


8283 


58i5 


3072 


9 2oo5o 


6 7 4 7 i 3i63 


9294 


4 


5? 


4196 


2538 


0610 


84n 


5 9 3 9 


3i 9 o 


oi64 


685 7 3 2 6 7 


93 9 4 


3 


58 


4338 


2674 


0742 


853 9 


6062 


33o 9 


0277 


6 9 66 33 7 2 


9 4 9 3 


2 


5 9 


44 7 9 


2811 


o8 7 4 


8666 


6i85 


342 7 


o3 9 i 


7 o 7 5 34 7 6 


9 5 9 3 


I 




29 


28 27 26 


25 24 23 22 21 


20 







Natural Co-sines. 


' 


>3 9 


2.3l 


2.24 2.16 


2.O 9 


2.OI 


i. 9 3 


1.86 


1.78 


1.70 





NATURAL TANGENTS. 



J 

n 


60 


61 


62 


63 


64 


65 


66 


67 


68 


69 







1.73205 


i.8o4o5 


1.88073 


1.96261 


2.o5o3o 


2.i445i 


2. 246o4 


2.35585 


2.47509 


2.60509 


60 


i 


332i 


0529 


82o5 


6402 


5i8 2 


46i4 


4 7 80 


5 77 6 


7716 


o 7 36 


5 9 


2 


3438 


o653 


833 7 


6544 


5333 


4777 


4956 


5 9 6 7 


7924 


0963 


58 


3 


3555 


0777 


846 9 


6685 


5485 


494o 


5i3 2 


6i58 


8x32 


1190 


57 


4 


36 7 i 


0901 


8602 


6827 


563 7 


5io4 


53o 9 


634 9 


834o 


i4i8 


56 


5 


3 7 88 


1025 


8 7 34 


6969 


5 79 o 


5 2 68 


5486 


654i 


854 9 


1 646 


55 


6 


3905 


n5o 


8867 


7111 


5942 


5432 


5663 


6 7 33 


8 7 58 


1874 


54 


7 


4O22 


1274 


9000 


72 53 


6094 


55 9 6 


584o 


6925 


8 9 6 7 


2103 


53 


8 


4i4o 


i3 99 


9 i33 


7 3 9 5 


6 2 4 7 


5760 


6018 


7118 


9i 77 


2332 


52 


9 


425 7 


i5 2 4 


9266 


7538 


64oo 


5925 


6196 


7 3u 


9386 


256i 


5i 


10 


i. 7 43 7 5 


1.81649 


1.89400 


1.97681 


2.o6553 


2.16090 


2.26374 


2.37504 


2.4959-7 


2.62791 


5o 


ii 


4492 


1774 


9 533 


7823 


6 7 o6 


6 2 55 


6552 


7697 


9 8o 7 


3021 


49 


12 


46io 


1899 


9667 


7966 


6860 


6420 


6 7 3o 


7891 


2.5ooi8 


3252 


48 


i3 


4728 


2O25 


9801 


8110 


7 oi4 


6585 


6909 


8o84 


0229 


3483 


47 


i4 


4846 


2i5o 


99 35 


8253 


7 i6 7 


6 7 5i 


7 o88 


8279 


o44o 


3 7 i4 


46 


i5 


4964 


2276 


1.90069 


83 9 6 


7 32I 


6917 


7267 


8473 


o652 


3 9 45 


45 


16 


5o82 


24O2 


0203 


854o 


7 4 7 6 


7083 


7 44 7 


8668 


0864 


4177 


44 


7 


5200 


2528 


o33 7 


8684 


7 63o 


7249 


7626 


8863 


io 7 6 


44io 


43 


18 


53i9 


2654 


0472 


8828 


7785 


74i6 


7806 


9o58 


1289 


4642 


4a 


*9 


543 7 


2780 


0607 


8972 


79 3 9 


7582 


7987 


9 253 


I5O2 


48 7 5 


4i 


20 


i. 7 5556 


1.82906 


1.90741 


1.99116 


2.08094 


2.17749 


2.28167 


2.3 9 44 9 


2.5i 7 i5 


2.65iO9 


4o 


21 


56 7 5 


3o33 


0876 


9261 


825o 


7916 


8348 


9 645 


1929 


5342 


3 9 


22 


5794 


3i59 


' IOI2 


9406 


84o5 


8o84 


8528 


9 84i 


2l42 


55 7 6 


38 


23 


5 9 i3 


3286 


1147 


9 55o 


856o 


8 2 5i 


8710 


2.4oo38 


235 7 


58ii 


37 


24 


6o32 


34i3 


1282 


9 6 9 5 


8 7 i6 


8419 


8891 


0235 


25 7 I 


6o46 


36 


25 


6i5i 


354o 


i4i8 


9 84i 


88 7 2 


8587 


9 o 7 3 


o432 


2 7 86 


6281 


35 


26 


6271 


3667 


1 5 54 


9986 


9028 


8 7 55 


9 254 


0629 


3ooi 


65i6 


34 


27 


6390 


3 79 4 


1690 


2.00l3l 


9184 


8 9 23 


943 7 


0827 


32i 7 


6 7 52 


33 


28 


65io 


3922 


1826 


0277 


934i 


9092 


9619 


IO25 


3432 


6989 


32 


29 


663o 


4049 


1962 


0423 


9498 


9261 


9801 


1223 


3648 


7225 


3i 


3o 


1.76749 


1.84177 


1.92098 


2.00669 


2.09654 


2.19430 


2.29984 


2.4i4ai 


2.53865 


2.67462 


3o 


3i 


6869 


43o5 


2235 


0715 


9811 


9 5 99 


2.30167 


1620 


4082 


7700 


2 9 


32 


6990 


4433 


2371 


0862 


9969 


9769 


o35i 


1819 


4299 


79 3 7 


28 


33 


7110 


456i 


25o8 


1008 


2.10126 


9938 


o534 


2019 


45i6 


8i 7 5 


2 7 


34 


723o 


468 9 


2645 


n55 


0284 


2.20108 


0718 


2218 


4734 


84i4 


26 


35 


7 35i 


48i8 


2782 


1302 


o442 


0278 


0902 


2418 


4952 


8653 


25 


36 


7471 


4946 


2920 


i449 


0600 


o44 9 


1086 


2618 


5170 


8892 


24 


3? 


7 5 9 2 


5o 7 5 


3o5 7 


i5 9 6 


o 7 58 


0619 


1271 


2819 


538 9 


9i3i 


23 


38 


77 i3 


52o4 


3i 9 5 


1743 


0916 


0790 


i456 


3019 


56o8 


9 3 7 i 


22 


39 


?834 


5333 


3332 


1891 


io 7 5 


0961 


i64i 


3220 


582 7 


9612 


21 


4o 


1.77955 


1.85462 


1.93470 


2.02039 


2.II233 


2.2II32 


2.31826 


2.43422 


2.56o46 


2.6 9 853 


2O 


4i 


8077 


55 9 i 


36o8 


2187 


1392 


i3o4 


2OI2 


3623 


6266 


2.70094 


*9 


42 


8198 


5720 


3 7 46 


2335 


i552 


1475 


2I 97 


38 2 5 


648 7 


o335 


18 


43 


8319 


585o 


3885 


2483 


i 7 n 


1647 


2383 


4027 


6707 


o5 77 


*7 


44 


844i 


5979 


4oa3 


2 63i 


i8 7 i 


1819 


2570 


423o 


6928 


0819 


16 


45 


8563 


6109 


4162 


2780 


2o3o 


1992 


2756 


4433 


7i5o 


1062 


i5 


46 


8685 


6239 


43oi 


2929 


2190 


2164 


2 9 43 


4636 


73 7 i 


i3o5 


i4 


4? 


8807 


6369 


444o 


3078 


2 35o 


2 33 7 


3i3o 


483 9 


7 5 9 3 


1 548 


i3 


48 


8929 


6499 


45 79 


3227 


25ll 


25lO 


33i 7 


5o43 


78i5 


I 7 92 


f 

12 


49 


9o5i 


663o 


4718 


3376 


2671 


2683 


35o5 


5246 


8o38 


2o36 


II 


5o 


i-79 I ?4 


1.86760 


1.94858 


2.o3526 


2.12832 


2.22857 


2.33693 


2.4545i 


2.58261 


2. 7 228l 


IO 


5i 


9296 


6891 


4997 


3675 


2 99 3 


3o3o 


388i 


5655 


8484 


2526 


9 


52 


9419 


7021 


5i3 7 


38 2 5 


3i54 


3204 


4o6 9 


586o 


8708 


2 77 I 


8 


53 


9542 


7 i52 


5277 


3 97 5 


33i6 


3378 


4258 


6o65 


8932 


3oi 7 


7 


54 


9665 


7283 


54i7 


4i25 


34 77 


3553 


4447 


6270 


9 i56 


3263 


6 


55 


9788 


74i5 


555 7 


4276 


363 9 


3 7 2 7 


4636 


6476 


9381 


35o 9 


5 


56 


9911 


7546 


5698 


4426 


38oi 


3902 


4825 


6682 


9606 


3 7 56 


4 


5? 


i.8oo34 


7677 


5838 


45 77 


3 9 63 


4077 


5oi5 


6888 


9 83i 


4oo4 


3 


58 


oi58 


7809 


5979 


4728 


4i25 


4252 


5 2 o5 


7095 


2.60057 


425i 


2 


5 9 


0281 


79 4i 


6120 


4879 


4288 


4428 


, 53 9 5 


7302 


0283 


4499 


I 




29 


28 


27 


26 


25 


24 


23 


22 


21 


20 







Natural Co-tangents. 


33 


P P. 

tol". a ' 


2.13 


2.27 


2.44 


2.62 


2.82 


3.o5 


3.3i 


3.6i 


3. 9 5 





130 



NATURAL SINES. 






70 


71 


72 


73 


74 


75 


76 3 


77 


78 


79 




o 

I 


939693 
9792 


9 455i 9 
56i3 


95io5 7 
n46 


966306 961262 
6390 i 342 


966926 
6001 


970296 
o366 


97 43 7 o 
4435 


97 8i48 
8208 


9 8i62 7 |6o 
1683 5q 


2 


9891 


5 7 o8 


1236 


64 7 5[ 1422 


6076 


o436 


45oi 


8268 


i 7 38 


58 


(. 


999 * 


58o2 


i326 


656o 


1502 


6i5i 


o5o6 


4566 


832 9 


I 79 3 


57 


L 


940090 


58 97 


i4i5 


6644 


i582 


6226 


o5 77 


463i 


838 9 


1849 


56 


I 


0189 


5 99 i 


i5o5 


6-729 


1662 


63oi 


o64 7 


46 9 6 


844 9 


1904 


55 


6 


0288 


6o85 


1 5g4 


68i4 


i 7 4i 


63 7 6 


o 7 i6 


4 7 6i 


85o 9 


1969 


54 


7 


o38 7 


6180 


1 684 


6898 


1821 


645 1 


o 7 86 


4826 


856 9 


20l4 


53 


8 


o486 


62 7 4 


i 77 3 


6 9 83 


I 9 OI 


6626 


o856 


48 9 i 


862 9 


2O6 9 


52 


9 


o585 


6368 


1862! 7067 


i 9 8o 


6600 


9 26 


4 9 56 


868 9 


2123 


5i 


10 


940684 


946462 


961961 


95 7 i5i 


962059 


9 566 7 5 


9799 5 


97 5o2o 


97 8 7 48 


9 82i 7 8 


5o 


ii 


0782 


6555 


2o4o 


7 235 


2139 


6749 


io65 


5o85 


8808 


2233 


49 


12 


0881 


6649 


2129 


73i 9 


2218 


6823 


ii34 


5i4 9 


8867 


228-7 


48 


i3 


0979 


6 7 43 


2218 


7 4o4 


22 97 


6898 


1204 


52i4 


891- 


3342 


47 


i4 


1078 


683 7 


2307 


7 48 7 


23 7 6 


6972 


I2 7 3 


52 7 8 


8986 


23 9 6 


46 


i5 


1176 


6930 


2396 


7 5 7 i 


2455 


7 o46 


1 342 


5342 


9 o45 


245o 


45 


16 


1274 


7 024 


2484 


7 655 


2534 


7120 


i4n 


54o6 


9 io5 


25o5 


M 


i? 


I3 ? 2 


7117 


25 7 3 


77 3 9 


* 26i3 


7 ig4 


i48o 


54 7 i 


9 i64 


2 55 9 


43 


18 


1471 


7210 


2661 


7 822 


26 9 2 


7 268 


i54 9 


5535 


9 223 


26i3 


42 


'9 


i56 9 


73o4 


275 


7906 


2 77 


7342 


1618 


55 9 8 


9 282 


2667 


4i 


20 


941666 


947397 


9 5 2 838 


9 5 799 


962849 


96 7 4i5 


97 i68 7 


976662 


979 34i 


0.82-721 


4o 


21 


1764 


7490 


2926 


8o 7 3 


2 9 28 


7 48 9 


i 7 55 


5-726 


9 3 99 


2 77 4 


3 9 


22 


1862 


7 583 


3oi5 


8i56 


3oo6 


7 562 


1824 


5 79 o 


9 458 


2828 


38 


23 


1960 


7676 


3io3| 8 2 3 9 


3o84 


7 636 


i8 9 3 


5853 


9 5l 7 


2882 


37 


24 


2057 


7768 


3i 9 n 8323 


3i63 


779 


i 9 6i 


5 9 i 7 


9 5 7 5 


2 9 35 


36 


25 


2i55 


7861 


3279 


84o6 


324i 


77 82 


2O2 9 


5 9 8o 


9 634 


2 9 8 9 


35 


26 


2252 


79 54 


3366 


848 9 


33i 9 


7 856 


20 9 8 


6o44 


9 6 9 2 


3o42 


34 


2 7 


235o 


, 8o46 


3454 


85 7 2 


33 97 


79 2 9 


2l66 


610-7 


97 5o 


3o 9 6 


33 


28 


2447 


8i3 9 


3542 


8654 


34 7 5 


8002 


2234 


6i 7 o 


9 8o 9 


3i4 9 


32 


2 9 


2544 


823i 


362 9 


8 7 3 7 


3553 


8o 7 5 


2302 


6233 


9 86 7 


3*02 


3i 


3o 


942641 


948324 


9 53 77 


9 5882o 


9 6363o 


9 68i48 


972370 


97 62 9 6 


9799 25 


9 83255 


3o 


3i 


2 7 3 9 


84i6 


38o4 


8 9 O2 


3 7 o8 


8220 


2438 


635 9 


99 83 


33o8 


29 


32 


a836 


85o8 


38 9 2 8985 


3 7 86 


82 9 3 


25o6 


6422 


9 8oo4i 


336i 


28 


33 


2932 


8600 


3 979 


9 o6 7 


3863 


8366 


25 7 3 


6485 


0098 


34x4 


2 7 


34 


3029 


8692 


4o66 


9 i5o 


3 9 4i 


8438 


2641 


654 7 


oi56 


3466 


26 


35 


3i26 


8 7 84 


4:53 


9 232 


4oi8 


85n 


2708 


6610 


0214 


35i 9 


25 


36 


3223 


88 7 6 


4240 


9 3i4 


4o 9 5 


8583 


2776 


66-72 


O2 7 I 


' 35 7 i 


24 


3? 


33i 9 


8 9 68 


432 7 


9 3 9 6 


4i 7 3 


8656 


2843 


6 7 35 


o32g 


3624 


23 


38 


34i6 


9 o5 9 


44i4 


9 4 7 8 


425o 


8 7 28 


291 1 


6797 


o386 


36 7 6 


22 


3 9 


35i 2 


9i5i 


45oi 


9 56o 


432 7 


8800 


2978 


685 9 


o443 


3729 


21 


4o 


943609 


949243 


9 54588 


959642 


9 644o4 9 688 7 2 


973o45 


97 6 9 2i 


980600 


9 83 7 8i 


20 


4i 


3 7 o5 


9 334 


46 7 4 


97 24 


448 i 8 9 44 


3lI2 


6 9 84 


o558 


3833 


'9 


42 


38oi 


9 425 


4 7 6i 


9 8o5 


455 7 9 oi6 


3i79 


7 o46 


o6i5 


3885 


18 


43 


38 97 


9 5l 7 


484 7 


9 88 7 


4634 9 o88 


3246 


-7108 


06-72 


3 9 3 7 


'7 


44 


3 99 3 


9 6o8 


4934 


99 68 


4 7 n 9 i5 9 


33i3 


7 i6 9 


7 28 


3 9 8 9 


16 


45 


4089 


9699 


5020 


9 6oo5o 


4 7 8 7 9 23i 


3379 


7 23l 


o 7 85 


4o4i 


i5 


46 


4i85 


9-790 


5io6 


oi3i 


4864 9 3o2 


3446 


7 2 9 3 


0842 


4092 


i4 


47 


4281 


9881 


5192 


0212 


4 9 4o 9 3 7 4 


35i2 


7 354 


0899 


4i44 


i3 


"48 


43 7 6 


997 2 


52 7 8 


02 9 4 


5oi6 9446 


35 79 


7 4i6 


o 9 55 


4196 


12 


49 


44 7 2 


95oo63 


5364 


o3 7 5 


5o 9 3 9 5i 7 


3645 


7477 


1012 


424 7 


II 


5o 


944568 


95oi54 


95545o 


9 6o456 


966169 9 6 9 588 


97 3 7 i2 


977539 


981068 


984298 


IO 


5i 


4663 


0244 


5536 


o53 7 


5245 9 65 9 


3 77 8 


7 6oo 


1124 


435o 


9 


5a 


4 7 58 


o335 


5622 


0618 


532i 9 7 3o 


3844 


7661 


1181 


44oi 


8 


53 


4854 


042 5 


5 77 


o6 9 8 


53 97 9 8oi 


3910 


77 22 


I23 7 


4452 


7 


54 


4949 


o5i6 


5 79 3 


779 


54 7 3! 9 8 7 2 


3 97 6 


7783 


I2 9 3 


45o3 


6 


55 


5o44 


0606 


58 79 


0860 


5548; 99 43 


4042 


7 844 


1 349 


4554 


5 


56 


5i3 9 


0696 


5 9 64 


o 9 4o 


5624 97 ooi4 


4io8 


79 o5 


i4o5 


46o5 


4 


57 


5234 


o 7 86 


6o4g 


1021 


5 7 oo oo84 


4i 7 3 


79 66 


i46o 


4656 


3 


58 


532 9 


o8 77 


6i34 


IIOI 


5 77 5: oi55 


423 9 


8026 i5i6 


477 


2 


5 9 


5424 


096-7 


6220 


1181 


585o 0225 


43o5 


8o8 7 | i5 7 2 


4 7 5 7 


I 




19 


18 


17 


16 


15 14 


13 


12 


11 


10 






















d 




Natural Co-sines. 


i 


' 


i.54 


i.46 


i.38 


:.3o 


I .21 


i.i3 


1. 06 


o-97 


0.88 





NATURAL 



GENTS. 



131 



j 


70 


71 


72 


73 


74 


75 


76 


77 


78 


79 




o 


2.74748 


2.90421 


3.07768 


3.2 7 o85 


3.48 7 4i 


3. 7 32o5 


4.010-78 


4.33i48 


4- 7 o463 


5.14455 


60 


I 


4997 


0696 


8073 


7 426 


9 I25 


364o 


i5 7 6 


3 72 3 


u3 7 


6266 


5 9 


2 


6246 


0971 


83 79 


7767 


9 5o 9 


4o 7 5 


20 7 4 


43oo 


i8i3 


6068 


58 


q 


6496 


1246 


8685 


8io 9 


9 8 9 4 


4612 


25 7 4 


48 79 


24 9 


6863 


57 


4 


5 7 46 


1623 


8 99 i 


8462 


3.5o2 79 


4g5o 


3o 7 6 


545 9 


3i 7 o 


7671 


56 


c 


6996 


1799 


9 2 9 8 


8795 


o666| 5388 


35 7 8 


6o4o 


385i 


848o 


55 


6 


624-7 


2O 7 6 


9 6o6 


9 l3 9 


io53 


6828 


4o8i 


6623 


4534 


9 2 9 3 


54 


7 


64 9 8 


2354 


99 i4 


9 483 


i44i 


6268 


4586 


7207 


52I 9 


5.20I0 7 


53 


8 


6 7 5o 


2632 


3.10223 


9 82 9 


i82 9 


6-709 


6092 


77 9 3 


5 9 o6 


O 9 25 


52 


9 


7002 


2910 


o532 


3.3oi 7 4 


22I 9 


7162 


55 99 


838i 


65 9 5 


i 7 44 


5i 


10 


2.77264 


2.93189 


3.io842 


3.3o52i 


3 526o 9 


3. 77 5 9 5 


4.0610-7 


4.38 9 6 9 


4. 77 286 


5.22566 


5o 


ii 


7607 


3468 


ii53 


0868 


3ooi 


8o4o 


6616 


9 56o 


7978 


33 9 i 


4 9 


12 


7761 


3 7 48 


i464 


1216 


33 9 3 


8485 


7 I2 7 


4.40162 


86 7 3 


4218 


48 


i3 


8oi4 


4028 


1776 


i565 


3 7 85 


8931 


7 63 9 


0746 


9 3 7 o 


5o48 


47 


i4 


826 9 


43o 9 


2087 


i 9 i4 


4i 79 


9378 


8162 


i34o 


4.80068 


588o 


46 


16 


8523 


45 9I 


24oo 


2264 


45 7 3 


9 82 7 


8666 


I 9 36 


o 7 6 9 


6 7 i5 


45 


16 


8778 


48 7 2 


2713 


2614 


4 9 68 


3.802-76 


9182 


2534 


i4 7 i 


7 553 


44 


17 


9 o33 


5i55 


3027 


2 9 65 


5364 


0-726 


9699 


3i34 


2I 7 5 


83 9 3 


43 


18 


9 28 9 


543 7 


334i 


33i 7 


5 7 6i 


n 77 


4.10216 


3 7 35 


2882 


9 235 


42 


'9 


9 545 


6-721 


3656 


36 7 o 


6i5 9 


i63o 


o 7 36 


4338 


35 9 o 


5.3oo8o 


4i 


20 


2.7 9 8O2 


2.96004 


3.i3 9 72 


3.34023 


3.5655 7 


3.82083 


4.ii256'4.44 9 42 


4.843oo 


5.3o 9 28 


4o 


21 


2.8oo5 9 


6288 


4288 


43 77 


6 9 5 7 


253 7 


1778 


5548 


5oi3 


1-7-78 


3 9 


22 


o3i6 


65 7 3 


46o5 


4 7 32 


735 7 


2992 


2301 


6i55 


5 7 2 7 


263i 


38 


23 


0674 


6858 


4 9 22 


5o8 7 


7758 


3449 


2826 


6 7 64 


6444 


348 7 


37 


24 


o833| 7144 


6240 


5443 


8160 


3906 


335o 


7 3 7 4 


-7162 


4345 


36 


25 


:o 9 i 


7 43o 


5558 


58oo 


8662 


4364 


38 77 


79 86 


7882 


6206 


35 


26 


i35o 


77 i 7 


58 77 


6168 


8 9 66 


4824 


44o5 


8600 


86o5 


6o 7 o 


34 


27 


1610 


8oo4 


6i 97 


65i6 


9 3 7 o 


6284 


4934 


9 2l5 


9 33o 


6 9 36 


33 


28 


1870 


8292 


65i 7 


68 7 5 


9775 


5 7 45 


5465 


9 832 


4. 9 oo56 


7 8o5 


32 


2 9 


2130 


858o 


6838 


7234 


3.6oi8i 


6208 


699-7 


4.5o45i 


o 7 85 


86 77 


3i 


3o 


2.823 9 I 


2.98868 


3.i 7 i5 9 


3.3 7 5 9 4 3.6o588 


3.866 7 i 


4.i653o 


4.61071 


4.91616 


5.3 9 55 2 


3o 


3i 


2653 


9168 


7 48t 


7 9 55; o 99 6 


7 1 36 


7 o64 


i6 9 3 


224 9 


5.4o42 9 


2 9 


32 


2 9 i4 


944 7 


7 8o4 


8317 


i4o5 


7601 


7600 


23i6 


2 9 84 


i3o 9 


28 


33 


3i 7 6 


9738 


812-7 


86 79 


1814 


8068 


8i3 7 


2 9 4i 


3 7 2I 


2I 9 2 


2 7 


34 


343 9 


3.00028 


845 1 




2224 


8536 


86 7 5 


3568 


446o 


3o 77 


26 


35 


3702 


0319 


8775 


9 4o6 


2636 


9004 


9216 


4i 9 6 


6201 


3 9 66 


25 


36 


3 9 65 


06 1 1 


9 ioo 


977 1 


3o48 


9474 


9756 


4826 


5 9 45 


485 7 


24 


37 


422 9 


o 9 o3 


9 426 


3.4oi36 


346i 


9945 


4.20298 


5458 


66 9 o 


6761 


23 


38 


44 9 4 


n 9 6 


97 52 


0602 


38 7 4 


3.90417 


0842 


6o 9 i 


7438 


6648 


22 


39 


4768 


i48 9 


3.20O 79 


o86 9 


4289 


0890 


i38 7 


6726 


8188 


7548 


21 


4o 


2.85oa3 


3.oi 7 83 


3.2o4o6 


3.4i236 


3.64 7 o5 


3. 9 i364 


4.21933 


4.5 7 363 


4- 9 8 9 4o 


5.4845i 


20 


4i 


6289 


20 77 


o 7 34 


1604 


5l2I 


1839 


2481 


8001 


9 6 9 5 


9 356 


ig 


42 


5555 


23 7 2 


io63 


I 97 3 


5538 


23i6 


3o3o 


864i 


5.oo45i 


6.60264 


18 


43 


6822 


266-7 


i3 9 2 


2343 


5 9 5 7 


2 79 3 


358o 


9 283 1210 


1176 


I 7 


44 


6o8 9 


2 9 63 


I 7 22 


2 7 l3 


63 7 6 


32 7 I 


4l32 


99 2 7 


i 97 i 


2000 


16 


45 


6356 


3260 


2053 


3o84 


6 79 6 


3 7 5i 


4685 


4.60672 


2 7 34 


3007 


i5 


46 


6624 


3556 


2384 


3456 


7 2I 7 


4232 


6239 


I2I 9 


34 99 


39 2 7 


i4 


47 


68 9 2 


3854 


2 7 l5 


382 9 


7 638 


4 7 i3 


5795 


1868 


4267 


485i 


i3 


48 


7161 


4162 


3o48 


4202 


8061 


6196 


6352 


25l8 


5o3 7 


5777 


12 


49 


743o 


445o 


338i 


45 7 6 


8485 


568o 


6911 


3l7I 


58o 9 


6706 


II 


5o 


2.87700 


3*oA'74Q 


3.23 7 i4 


3.44 9 5i 


3.68909 


3. 9 6i65 


4.2 7 4 7 i 


4.63825 


5.o6584 


5.5 7 638 


10 


5i 


7970 


5o4 9 


4o4 9 


532 7 


9335 


6661 


8o32 


448o 


7 36o 


85 7 3 


9 


62 


8240 


534 9 


4383 


5 7 o3 


976i 


7 i3 9 


8696 


5i38 


8i3 9 


9 5n 


8 


53 


85 1 1 


564 9 


4 7 r 9 


6080 


3. 7 oi88 


7 62 7 


9169 


5 797 


8 9 2I 


6.60462 


7 


54 


8 7 83 


5 9 5o 


5o55 


6458 


0616 


811-7 


9 7 24 


6458 


97 o4 


i3 97 


6 


55 


9 o55 


6262 


53 9 2 


683 7 


io46 


86o 7 


4.30291 


7121 5.io4 9 o a344 


5 


56 


9327 


6554 


5 7 2 9 


7216 


i4 7 6 


999 


0860 


7786 1270 3a 9 5 


4 


57 


9 6oo 


685 7 


6o6 7 


7 5 9 6 


190-7 


9 5 9 2 


i43o 8462 2069 4248 


3 


58 


9873 


7160 


64o6 


7977 


23384.00086 


2001 9I2I 1 2862 5205 2 


69 


2. 9 oi47 


7464 


6 7 45 


835 9 


2 77 l| 0682 


2 5 7 3 979 i 3658 6166 i 




19 


18 


17 


16 


15 ! 14 


13 12 11 10 


. ' 




Natural Co-tangents. 


to* I"'. 4 ' 35 


4.8a 


5.36 


6.01 


6. -79 


7 . 7 3 


8.90 


10.35 


12. 2O 


i4.6o 


! 



132 



NATURAL SINES. 



1 

H 


80 


81 


82 


83 


84 


85 


86 


87 


88 


89 




O 


848o8 


9 8 7 688 


990268 


99 2546 


994522 


99619-5 


99 7 564 


99 863o 


999 3 9 i 


999848 


[JO 


I 


4858 


77 34 


o3o 9 


2582 


455 2 


6220 


7 584 


8645 


9 4oi 


9 853 


5 9 


2 


4909 


7779 


o34g 


2617 


4583 


6245 


7 6o4 


8660 


9 4n 


9358 


58 


3 


4959 


7824 


0389 


2652 


46i3 


6270 


7 625 


86 7 5 


9 42I 


9 863 


5 7 


4 


5009 


7870 


0429 


2687 


4643 


6295 


7 645 


86 9 o 


9 43i 


9 86 7 


56 


5 


SoSg 


79i5 


0469 


2722 


46 7 3 


6320 


7 664 


8 7 o5 


944i 


9 8 7 2 


55 


6 


5109 


7960 


oSog 


2 7 5 ? 


4 7 o3 


6345 


7 684 : 8719 


9 45o 


9 8 77 


54 


7 


5i5 9 


8oo5 


o549 


27 9 2 


4733 


63 7 o 


77 o4 


8 7 34 


9 46o 


9881 


53 


8 


5209 


8o5o 


oSSg 


2827 


4 7 6 2 


63 9 5 


77 24 


8 7 4 9 


9 46 9 


9886 


52 


9 


5a5 9 


8o 9 4 


0629 


2862 


4 7 92 


64i 9 


7743 


8 7 63 


9479 


9890 


5i 


10 


985309 


9 88i3 9 


990669 


99 28 9 6 


994822 


996444 


9 977 63 


998778 


999488 


9V9 8 94 


5o 


ii 


5358 


8i84 


0708 


2 9 3i 


485i 


6468 


7782 


8792 


9497 


9 8 9 8 


49 


12 


54o8 


8228 


o 7 48 


2 9 66 


488 1 


64 9 3 


7801 


8806 


9 5 7 


99 o3 


43 


i3 


545 7 


8273 


0787 


3ooo 


4910 


65i 7 


7821 


8820 


9 5i6 


997 


47 


i4 


55o 7 


83i 7 


0827 


3o34 


4 9 3 9 


654i 


7840 


8834 


9 5a5 


99 io 


46 


i5 


5556 


8362 


0866 


3o68 


4 9 6 9 


6566 


7869 


8848 


9 534 


99 i4 


45 


16 


56o5 


84o6 


0905 


3io3 


4 99 8 


6590 


7878 


8862 


9 542 


99 i8 


44 


*7 


5654 


845o 


0944 


3i3 7 


5o2 7 


66i4 


7897 


8876 


9 55i 


9-932 


43 


18 


5 7 o3 


84 9 4 


0983 


3i 7 i 


5o56 


663 7 


7916 


8890 


9 56o 


99 25 


42 


J 9 


5 7 5a 


8538 


IO22 


32o5 


5o84 


6661 


7934 


8 9 o4 


9 568 


99 2 9 


4i 


20 


985801 


9 8858a 


991061 


99 3238 


99 5n3 


996685 


997953 


998917 


999577 


9999 32 


4o 


21 


585o 


8626 


IIOO 


32 7 2 


5i42 


6 7 09 


7972 


8 9 3i 


9 585 


99 36 


39 


23 


58 99 


866 9| n38, 33o6 


5i 7 o 


6 7 32 


799 


8944 


9594 


99 3 9 


38 


23 


5 9 47 


8713 1177! 333 9 


5i 99 


6 7 56 


8008 


8 9 5 7 


9 6o2 


99 42 


3 7 


24 


5996 


8 7 56 1216' 3373 


522 7 


6779 


8027 


8971 


9 6io 


9945 


36 


25 


6o45 


8800 


1254 


34o6 


5 2 56 


6802 


8o45 


8984 


9 6i8 


9948 


35 


26 


6093 


8843 


I2 9 2 


343 9 


5284 


6825 


8o63 


8997 


9 626 


99 5i 


34 


27 


6i4i 


8886 


i33i 


34 7 3 


53i2 


6848 


8081 


9010 


9 634 


99 54 


33 


28 


6189 


8 9 3o 


i36 9 


35o6 


534o 


6872 


8099 


9023 


9 642 


99 5 7 


32 


29 


6238 


8 97 3 


1407 


353 9 


5368 


6894 


8117 


9 o35 


9 65o 


99 5 9 


3i 


3o 


986286 


9 8 9 oi6 


99 i445 


99 35 7 2 


99 53 9 6 


996917 


998135 


999048 


9 99 65 7 


999962 


3o 


3i 


6334 


9 o5 9 


i483 


36o5 


5424 


6940 


8i53 


9061 


9 665 


99 64 


2 9 


32 


638i 


9102 


l52I 


3638 


5452 


6 9 63 


8170 


97 3 


96-72 


99 6 7 


28 


33 


6429 


9 i45 


i558 


36 7 o 


5479 


6 9 85 


8188 


9 o86 


9680 


9969 


2 7 


34 


6477 


9187 1596 


3 7 o3 


55o 7 


7008 


82o5 


9 o 9 8 


9 68 7 


997 1 


26 


35 


65 2 5 


9230 i634 


3 7 35 


5535 


7o3o 


8223 


9 i ii 


9694 


9974 


25 


36 


65 7 2 


9272 1671 


3 7 68 


5562 


7 o53 


8240 


9 I2: 


97 oi 


9976 


24 


37 


6620 


93i5' I7o 9 


38oo 


558 9 


7075 


8 2 5 7 


9 i35 


979 


9978123 


38 


6667 


9 35 7 


1746 


3833 


56i 7 


7097 


8274 


9147 


9 7 i6 


9980 


22 


3 9 


6714 


9 3 99 


I 7 83 


3865 


5644 


7119 


8291 


9 i5 9 


9-722 


99 8i 


21 


4o 


986762 


9 8 9 442 


99 l82O 


99 3 897 


99 56 7 i 


997i4i 


99 83o8 


999171 


999729 


9V99 83 


2O 


4i 


6809 


9 484 


i85 7 


3 9 29 


5698 


7 i63 


8325 


918: 


9736 


99 85 


'9 


42 


6856 


9 526 


i8 9 4 


3 9 6i 


5 7 25 


7 i85 


8342 


9194 


9743 


99 86 


18 


43 


690? 


9 568 


I 9 3i 


3 99 3 


5 7 52 


7207 


835 9 


9 2o6 


9749 


99 88 


17 


44 


6 9 5o 


9 6io 


i 9 68 


4oa5 


5 77 8 


7229 


83 7 5 


9 2l8 


9 7 56 


9989 


16 


45 


6996 


9 65i 


2OO5 


4o56 


58o5 


725o 


83 9 2 


9229 


97 62 


999 


i5 


46 


7o43 


9 6 9 3 


2042 


4o88 


5832 


7272 


84o8 


9240 


97 68 


9993 


i4 


47 


7090 


97 35 


2078 


4l20 


5858 


7293 


8425 


9252 


977 5 


999 3 


i3 


48 


7I 36 


9776 


2Il5 


4i5i 


5884 


73i4 


844 1 


926^ 


978i 


9994 


12 


49 


7 i83 


9818 


2l5l 


4182 


Sgii 


7 336 


845 7 


9274 


9787 


999 5 


II 


5o 


987229 


989859 


99 2i8 7 


9942i4 


99 5 937 


997357 


99 84 7 3 


999285 


99979 s 


97999 6 


10 


5i 


7 2 7 5 


9900 


222<^ 


4a45 


5 9 63 


7 3 7 8 


848 9 


9 2 9 6 


9799 


9997 


9 


52 


7 322 


9942 


226o 


42 7 6 


5 9 8 9 


7399 


85o5 


9307 


9804 


9997 




53 


7368 


99 83 


22 9 6 


43o 7 


6oi5 


7420 


852i 


9 3i8 


9810 


999 8 


7 


54 


7 4i4 


99002^ 


2332 


4338 


6o4i 


744i 


853 7 


9 328 


9816 


9998 


6 


55 


7 46o 


oo65 


2368 


436 9 


6067 


7462 


855a 


9 33 9 


9821 


9999 


5 


56 


7 5o6 


oio5 


24O2 


44oo 


6093 


7482 


8568 


9 35o 


9 82 7 


9999 


4 


5 


7 55 


oi46 


243$ 


443c 


6118 


75ov 


8583 


9 36o 


9832 


1. 00000 


3 


58 


7 5 9 


0187 


247^ 


446 


6i44 


7 5 2 3 


85 99 


9 3 7 


9 83 7 


oooo 





5 


764 


0228 


25ll 


44g 


6169 


7 544 


86i4 


9 38 


9 843 


0000 


i 




9 


8 


7 


6 


5 


4 


3 


2 


1 





c 




Natural Co-sines. 


i 


Jo'*;. - 80 


0.72 


o.63 


o.55 


0.46 


o.38 


o.3o 


O.2I 


o.i3 


o.o4 





NATURAL TANGENTS. 



133 



j 


80 1 81 


82 


83 


84 


85 


86 


87 


88 


89 







5.67128 6.3i375 


7.n53 7 


8.i4435 


9 .5i436 


n.43oi 


i43oo 7 


19.0811 


28.6363 


5 7 .2 9 oo 


60 


I 


8o 9 4; 2566 3o42 


6398 


4io6 


4685 


36o 7 


1879 


8 77 i 


58.2612 


5 9 


2 


9064 3761 


455-3 


83 7 o 


6791 


5o 7 2 


4212 


2 9 5 9 


29.1220 


5 9 .265 9 


58 


3 


5.70037! 4<?6i 


6071 


8.20352 


9490 


546 1 


48 2 3 


4o5i 


. 3 7 n 


6o.3o58 


5 7 . 


4 


ioi3 


6i65 


7594 


2344 


0. 62205 


5853 


5438 


5i56 


6245 


6i.382 9 


56 


5 


1992 


7 3 7 4 


* * _ 
9125 


4345! 4935 


6248 


6o5 9 


6273 


8823 


62-4 99 2 


55 


6 


2974 


858 7 


7.20661 


6355 


7680 


6645 


6685 


74o3 


3o.i446 


63.656 7 


54 


7 


3960 


9804 


22O4 


83 7 6 


9.70441 


7045 


7 3i 7 


8546 


4n6 


64.858o 


53 


8 


4949 


6.41026 


3754 


8.3o4o6 


32 17! 7448 


79 54 


97 02 


6833 


66.io55 


52 


9 




2253 


53io 


2446 


6009 


7 853 


85 9 6 


20.0872 


9 5 99 


6 7 .4oi 9 


5i 


10 


5.76937 


6.43484 


7.26873 


8.34496 


9.78817 


11.8262 


14.9244 


2O.2O56 


3i.24i6 


68. 7 5oi 


5o 


ii 


79 3 6 


4 7 2O 


8442 


6555 


9.81641 


86 7 3 


9898 


3253 


5 2 84 


7 o.i533 


49 


12 


8938 


5 9 6i 


7.3ooi8 


86 2 5 


4482 


9087 


i5.o55 7 


4465 


82o5 


7 i.6i5i 


48 


i3 


9944 


7206 


1600 


8.4o 7 o5 


7338 




1222 


56 9 i 


32.1181 


7 3.i3 9 o 


4 7 


i4 


5.80953 


8456 


3190 


2 79 5 


9 . 9 O2II 


9923 


i8 9 3 


6 9 32 


42 1 3 


7 4- 7 2 9 2 


46 


i5 


1966 


9710 


4 7 86 


48 9 6 


3ioi 


I2.o346 


25 7 I 


8188 


7 3o3 


7 6.3 9 oo 


45 


16 


2982 


6.50970 


6389 7007 


6007 


0772 


3254 


9 46o 


33.o452 


7 8.i263 


44 


l l 


4ooi 


2234 


7999 


9128 


8 9 3i 


I2OI 


3 9 43 


21.0747 


3662 


79 . 9 434 


43 


18 


5024 


35o3 


9616 


8.5i 2 5 9 


10.0187 


i632 


' 4638 


204 9 


6935 


81.8470 


42 


J 9 


6o5i 


4777 


7.41240 


3402 


o483 


2067 


534o 


336 9 


34.0273 


83.8435 


4i 


20 


5.87080 


6.56o55 


7.42871 


8.55555 


10.0780 


I2.25o5 


i5.6o48 


21.4704 


34.3678 


85. 9 3 9 8 


4o 


21 


8n4 


7339 


4509 


77 i8 


1080 


2946 


6 7 62 


6o56 


7 i5i 


88.1436 


3 9 


22 


9i5i 


862-7 


6i54 


9 8 9 3 


i38i 


3390 


7 483 


7426 


35.o6 9 5 


90.4633 


38 


23 


S.ooigi 


9921 


7806 


8.620-78 


i683 


3838 


8211 


88i3 


43i3 


92.9085 


3 7 


24 


!236 


6.61219 


9 465 


42 7 5 


i 9 88 


4288 


8 9 45 


22.0217 


8006 


9 5.48 9 5 


36 


25 


2283 


2523 


7 .5n3 2 


6482 


22 9 4 


4742 


9 68 7 


i64o 


36.i 77 6 


9 8.2i7 9 


35 


26 


3335 


383i 


2806 


8 7 oi 


2602 


5199 


i6.o435 


3o8i 


562 7 


101.107 


34 


27 


43 9 o 


5i44 


448 7 


8. 7 o 9 3i 


2 9 l3 


566o 


II 9 O 


454i 


9 56o 


104.171 


33 


28 


5448 


6463 


6176 


3l 7 2 


3224 


6124 


I 9 52 


6020 


3 7 .35 79 


107.426 


32 


29 


65io 


77 8 7 


7872 


5425 


3538; 65 9 i 


2 7 22 


7 5i 9 


7686 


IIO.8 9 2 


3i 


3o 


5.97576 


6.69116 


7 .5 9 5 7 5 


8. 77 68 9 


10.3854112.7062 


i6.34 99 


22. 9 o38 


38.1885 


114.589 


3o 


3i 


8646 


6. 7 o45o 


7.61287 


99 64 


4172 


7 536 


4283 


23.o5 77 


6177 


118.540 


29 


32 


9720 


1789 


3oo5 


8.82252 


44 9 i 


8oi4 


5o 7 5 


2l3 7 


3 9 .o568 


122.774 


28 


33 


6.00797 


3i33 


4 7 32 


455i 


48i3 


8496 


58 7 4 


3 7 i8 


5o5 9 


I2 7 .32I 


2 7 


34 


1878 


4483 


6466 


6862 


5i36 


8981 


6681 


532i 


9 655 


132.219 


26 


35 


2962 


5838 


8208 


9 i85 


5462 


9469 


7 4 9 6 


6 9 45 


4o.4358 


i3 7 .5o 7 


25 


36 


4o5i 


7199 


99 5 7 


8. 9 i52o 


5 7 8 9 


9962 


83i 9 


85 9 3 


91-74 


i43.23 7 


24 


37 


5i43 


8564 


7 . 7 i 7 i5 


386 7 


6118 


i3.o458 


9 i5o 


24.0263 


4i.4io6 


149-465 


23 


38 


6240 


99 36 


348o 


622 7 


645o 


o 9 58 


999 


i 9 5 7 


9 i58 


i56. 2 5 9 


22 


39 


734o 


6.8i3i2 


5 2 54 


85 9 8 


6 7 83 


i46i 


I 7 .o83 7 


36 7 5 


42.4335 


i63. 7 oo 


21 


4o 


6.o8444 


6.826 9 4 


7 . 77 o35 


9 .oo 9 83 


io. 7 n 9 


i3.i 9 6 9 


I 7 .i6 9 3 


24.54i8 


42. 9 64i 


171.885 


20 


4i 


9 552 


4082 


8825 


33 79 


7 45 7 


2480 


2558J 7 i85 


43.5o8i 


180.932 


I 9 


42 


6.io664 


54 7 5 


7.80622 


5 7 8 9 


77 97 


2 99 6 


3432J 8 97 8 


44.o66i 


190.984 


18 


43 


1779 


68 7 4 


2428 


8211 


8139 


35i5 


43i4'25.o 79 8 


6386 


202.219 


17 


44 


2899 


8278 


4242 


9.10646 


8483 


4039 


52o5| 2644 


45.2261 


2i4.858 


16 


45 


4oa3 


9688 


6o64 


3o 9 3 


8829 


4566 


6106 


45i 7 


82 9 4 


229.182 


i5 


46 


5i5i 


6.9110^ 


7 8 9 5 


5554 


9178 


5o 9 8 


7 oi5 


64i8 


46.448 9 


245.552 


i4 


47 


6283 


2 5 2 5 


9734 


8028 


9 52 9 


5634 


79 34 


8348 


4 7 .o853 


264.441 


i3 


48 


7 4*9 


3 9 5 2 


7 .9i582 


9 .2o5i0 


9 882 


6174 


8863 


26.o3o 7 


7 3 9 5 


286.4 7 8 


12 


49 


855 9 


5385 


3438 


3oi6 


11.0237 


6 7 I 9 


9802 


2296 


48.4i2i 


3I2.52I 


II 


5o 


6.i 97 o3 


6.96823 


7 .953o2 


9 . 2553o 


n.o5 9 4 


i3. 7 26 7 


i8.o 7 5o 


26.43i6 


49.1039 


343. 77 4 


IO 


5i 


6.2o85i 


8268 


7 i 7 6 


8o58 


o 9 54 


7821 


I 7 o8 


636 7 


8i5 7 


381.9-71 


9 


5s 


2003 


9718 


9 o58 


9 .3o5 99 


i3i6 


83 7 8 


2 6 77 


845o 


5o.5485 


429. -718 


8 


53 


3i6o 


7.01174 


8.oo 9 48 


3i55 


1681 


8 9 4o 


3655 


2 7 .o566 


5i.3o32 


491.106 


7 


54 


43ai 


2637 


2848 


5 7 2/j 


2048 


9 5o 7 


4645 


2 7 l5 


52.o8o 7 


5-72.95-7 


6 


55 


5486 


4io5 


4 7 56 


83o 7 


2417 


i4-oo 79 


56^5 


4899 


8821 


68 7 .549 


5 


56 


6655 


55 79 


66 7 4 


9 .4o 9 o4 


2 7 8 9 


o655 


6656 


71*17 


53. 7 o86 


85 9 .436 


4 


57 


7829 


7^9 


8600 


35i5 


3i63 


1235 


7 6 7 8 


9 3 7 2 


54-56i3 


1145.92 


3 


58 


9 oo 7 


8546 


8.io536 


6i4i 


354o 


1821 


8711 


28.1662 


55.44i5 


1718.87 


2 


5 9 


6 30189 


7.ioo38 


2481 


8 7 8i 


3 9 i 9 


2411 


97 55 


3994 


56.35o6343 7 . 7 5 


I 




9 


8 


7 


6 


5 


4 


3 2 


1 




















A 




Natural Co-tangents. 


, ** 


P. P. g o 


22. IO 


28.^46 


37.83 


5.28 


7.88 


iS.oi 










1 


y 




<j i . \j 




/ * 













NATURAL SECANTS. 



Deg. 


0' 


10' 


20' 


30' 


.40' 


50' 




P. Part 
tol'. 





i .000000 


i .000004 


i .000017 


i ,oooo38 


i .000068 


i .000106 


89 


2.5 


I 


000l52 


000207 


000271 


ooo343 


000423 


ooo5i2 


88 


7.6 


2 


000609 


000715 


ooo83o 


ooogSS 


001084 


001224 


87 


I2. 7 


3 


001372 


001529 


001695 


001869 


OO2o5l 


002242 


86 


I 7 .8 





002442 


oo265o 


002867 


003092 


oo3326 


003569 


85 


22.9 


5 


oo382o 


oo4o8o 


oo4348 


oo4625 


oo4 9 n 


oo52o5 


84 


28.1 


6 


oo55o8 


.o582o 


oo6i4i 


oo64 7 o 


006808 


007154 


83 


33.3 


7 


007510 


007874 


008247 


008629 


OO 9 O2O 


009419 


82 


38.6 


8 


009828 


010245 


r 1671 


011106 


on55o 


012003 


81 


43. 9 


9 


oi2465 


012936 


o.34i6 


oi3 9 o5 


oi44o3 


014910 


80 


4 9 .3 


10 


1.015427 


i .015952 


i .016487 


i .oi 7 o3o 


i.oi 7 583 


I. 018145 


79 


54.8 


ii 


018717 


019297 


019887 


O2O48 7 


02I0 9 5 


021713 


78 


60.4 


12 


022341 


022977 


023624 


024280 


O24 9 45 


O2562O 


77 


66.0 


i3 


0263o4 


026998 


027702 


O284i5 


02 9 i38 


029871 


76 


71.8 


i4 


o3o6i4 


o3i366 


032128 


032900 


o33682 


034474 


75 


77-7 


i5 


035276 


o36o88 


036910 


o3 77 42 


o38584 


039437 


74 


83.7 


16 


040299 


041172 


o42o55 


042949 


o43853 


044767 


73 


89.8 


17 


045692 


046627 


o4 7 5 7 3 


048529 


o4 9 4 9 6 


o5o474 


72 


96.1 


18 


o5i462 


o5246i 


o5347i 


054492 


o555 2 4 


o56567 


7 1 


IO2.6 


'9 


057621 


o58686 


059762 


060849 


o6i 9 4 7 


o63o57 


70 


109.2 


20 


1.064178 


i.o653io 


i.o66454 


i.o6 7 6o9 


i .o68 77 6 


1.069955 


69 


116.1 


21 


071145 


072347 


073561 


o 7 4 7 86 


0-76024 


077273 


68 


123.2 


22 


o 7 8535 


079808 


081094 


082392 


o83 7 o3 


o85o25 


67 


i3o.4 


23 


o8636o 


087708 


089068 


090441 


091827 


093225 


66 


137.9 


24 


o 9 4636 


096060 


097498 


098948 


ioo4ii 


101888 


65 


145.6 


25 


io33 7 8 


104881 


106398 


io 7 929 


109473 


ino3o 


64 


iS3. 7 


26 


112602 


114187 


n5 7 8 7 


117400 


i 19028 


120670 


63 


162.0 


27 


122326 


i23 997 


125682 


I2 7 382 


129096 


130826 


62 


170.7 


28 


132570 


i3432 9 


i36io4 


i3 7 893 


139698 


i4i5i8 


61 


179.7 


29 


143354 


i452o5 


147073 


148956 


i5o854 


152769 


60 


189.1 


3o 


I.I5470I 


i. i 56648 


i.i586i2 


i . 160592 


1.162589 


I.i646o3 


5 9 


198.9 


3i 


166633 


168681 


170746 


1-72828 


17492-7 


177044 


58 


209, i 


32 


179178 


i8i33i 


i835oi 


i8568 9 


i8 7 8 9 5 


190120 


57 


219.7 


33 


192363 


i 9 4625 


196906 


199205 


2Ol523 


2o386i 


56 


230.9 


34 


206218 


2o85 9 4 


210991 


2i34o6 


2i5842 


218298 


55 


242.6 


35 


220775 


223271 


225789 


22832 7 


23o886 


233466 


54 


254.8 


36 


236o68 


2386 9 i 


24i336 


244oo3 


246691 


249402 


53 


267.7 


37 


252i36 


2548 9 2 


257671 


26o4 7 2 


263298 


266146 


52 


281.3 


38 


269018 


27i 9 i4 


2 7 4834 


277779 


280748 


2 83 7 4i 


5i 


295.6 


39 


286760 


28 9 8o3 


2 9 28 7 2 


29596 7 


299088 


302234 


5o 


310.7 


4o 


I.3o54o7 


i. 308607 


i.3n833 


i.3i5o8 7 


x.3i8368 


1.321677 


49 


326.7 


4i 


325oi3 


3 2 83 7 8 


33i 77 i 


335i 9 2 


338643 


342123 


48 


343.6 


42 


345633 


34 9 i 7 2 


352 7 42 


356342 


359972 


363634 


47 


36i.5 


43 


367327 


3 7 io52 


3 7 48o 9 


3 7 85 9 8 


382420 


3862 7 5 


46 


38o.5 


44 


390164 


3 9 4o86 


3 9 8o42 


402032 


406057 


4iou8 


45 


400.7 


45 414214 


4i8345 


4225i3 


426 7 l8 


430960 


435239 


44 


422.3 


46 43g55 7 


443 9 i2 


4483o6 


452 7 4o 


457213 


461-726 


43 


445.3 


47 : 466279 


470874 


4 7 55o 9 


48oi8 7 


484907 


4896-70 


42 


469.8 


48 i 494477 


499327 


5o422I 


509160 


5i4i45 


5i9i 7 6 


4i 


496.2 


49 i 524253 


529377 


534540 


539-769 


545o38 


55o356 


4o 


524.4 


5o 


i 555724 


i.56n42 


i.5666i2 


i.5 7 2i34 


1.577708 


1.583335 


3 9 


554.7 


5i 


589016 


594751 


6oo542 


6o6388 


612291 


6i825i 


38 


58 7 .4 


52 


624269 


63o346 


636483 


642680 


648938 


655258 


37 


622.7 


53 


66i64o 


668086 


6 7 45 97 


68n 7 3 


68 7 8i5 


694524 


36 


660.9 


54 


701302 


708148 


7 i5o64 


722051 


729110 


736244 


35 


702.2 


55 

C /? 


743447 


750727 


7 58o84 


7 655i 7 


773029 


780620 


34 


747.2 


56 


788292 


796045 


8o388i 


811801 


819806 


827899 


33 


796.2 


r o 


836o 7 8 


844348 


852 7 o 7 


861159 


869704 


8 7 8344 


32 


849.8 


58 
5 9 


887080 
94i6o4 


8 9 5 9 i4 
95io58 


9 o484 7 
960621 


9 i388i 
97 02 9 4 


923017 
980081 


932258 
9 8 99 82 


3i 

3o 


908.5 
97 3.o 




60' 


50' 


40' 


30' 


20' 


10' 


Dr. 5. 




Natural Co-secants. 



.NATURAL SECANTS. 



135 



Deg. 


0' 


10' 


30' 


30' 


40' 


50' 




P. Part 
tol'. 


60 


2.OOOOOO 


2.oioi36 


2.020393 


2.030772 


2.041276 


2.061906 


29 


io44 


6l 


062665 


073666 


084679 


096739 


107036 


118474 


28 


1123 


62 


i3oo54 


141781 


x53655 


166681 


177869 


190196 


27 


I2IO 


63 


202689 


2i5346 


228168 


241168 


264320 


267667 


26 


i3o8 


64 


281172 


294869 


308760 


322820 


337083 


35x542 


26 


1417 


65 


866202 


38io65 


396137 


4ix42i 


426922 


442645 


24 


i53 9 


66 


4585 9 3 


474773 


491187 


5o 7 843 


524744 


641896 


23 


1678 


67 


55 9 3o5 


676976 


694914 


6x3x26 


53x6x8 


660396 


22 


i835 


68 


669467 


68838 7 


708614 


728604 


7488x4 


769453 


21 


20X5 


69 


790428 


811747 


8334x9 


85545i 


8 77 853 


900635 


2O 


2222 


7 C 


2.923804 


2.947372 


2.971349 


2.996744 


3.020669 


3.045835 


*9 


246l 


7 1 


3.o 7 i553 


3.097736 


3.124396 


3.i5x545 


179198 


207367 


18 


2740 


72 


236o68 


2653x5 


296123 


326610 


366490 


388082 


17 


3o68 


73 


42o3o4 


453i 7 3 


486711 


620937 


556871 


5 9 i536 


16 


3458 


74 


627955 


666162 


7o3i5x 


741978 


781660 


822226 


16 


3926 


75 


863 7 o3 


906126 


949622 


993929 


4.039380 


4.086913 


i.4 


4492 


76 


4.133565 


4.182378 


4.2323 9 4 


4.283658 


3362i5 


390116 


i3 


6190 


77 


4454n 


602167 


56o4o8 


620226 


681676 


7 4482i 


12 


6062 


78 


8o 97 34 


876491 


946169 


5.016862 


6.088628 


5.i635 9 2 


II 


7171 


79 


5. 24o843 


5.320486 


5.402633 


487404 


674926 


665333 


10 


8612 


80 


5.758770 


5.8553 9 2 


5. 9 55362 


6.068868 


6. 166067 


6.277193 


9 




81 


6.392453 


6. 612081 


6.636329 


6.766469 


6.899794 


7.039622 


8 




82 


7.185297 


7.337191 


7.496711 


7.661298 


7.834433 


8.016646 


7 




83 


8.206609 


8.404669 


8.613790 


8.833671 


9.o65x5i 


9.309170 


6 




84 


9.566772 


9.839123 


xo. 12762 


io.43343 


10.76849 


ii.io455 


5 




85 


11.47371 


xi.86837 


12.29126 


12.74549 


13.23472 


13.76311 


4 




86 


14.33559 


14.96788 


i5.636 79 


x6.38o4x 


17.19843 


18. 10262 


3 




87 


19.10732 


20.23028 


21.49368 


22.92669 


24.66212 


26.46061 


2 




88 


28.65371 


31.26768 


34.38 2 32 


38.20x55 


42.97671 


49. n4o6 


I 




89 


57.29869 


68.76736 


86.94661 


114.6930 


171.8883 


343.7762 









60' 


50' 


40' 


30' 


20' 


10' 


Deg. 




Natural Co-secants. 


LENGTHS OF CIRCULAR ARCS. 


Degrees. 


Minutes. 


Seconds. 


o 




o 









/ 




H 




I 


!oi74533 


26 


.453 7 856 


5i 


.8901179 


I 


.0002909 




.ooooo48 


a 


.0349066 


27 


.4712389 


52 


.9076712 


2 


.0006818 


2 


.0000097 ' 


3 


.0623599 


28 


.4886922 


53 


.9260245 


3 


.0008727 


3 


.0000145 


4 


.0698132 


29 


.5o6i455 


54 


.9424778 


4 


.ooii636 


4 


.0000194 


5 


.0872665 


3o 


.5 2 35 9 88 


55 


.9699311 


5 


.0014544 


5 


.0000242 


6 


.1047198 


3x 


.5410621 


56 


9773844 


6 


.0017453 


6 


.0000291 


7 


. 1221730 


32 


,5585o54 


57 


9948377 


7 


.0020362 


7 


.OOO0339 


8 


.1396263 


33 


.6769687 


58 


.0122910 


8 


.0023271 


8 


.oooo388 


9 


.1670796 


34 


.6934119 


5 9 


.0297443 


9 


.0026180 


9 


.oooo436 


10 


.1745329 


35 


.6108662 


60 


.0471976 


10 


.0029089 


10 


,oooo485 


ii 


. 1919862 


36 


.6283x85 


65 


. i 34464o 


ii 


.0031998 


ii 


.oooo533 


12 


.2094396 


37 


.6467718 


70 


.2217306 


12 


.0034907 


12 


.0000682 


i3 


.2268928 


38 


.6632261 


75 


.3089969 


x3 


.0037816 


i3 


.oooo63o 


i4 


.244346i 


39 


.6806784 


80 


.3962634 


i4 


.0040724 


i4 


.0000679 


i5 


.2617994 


4o 


.6981317 


85 


.4836299 


i5 


.oo43633 


16 


.0000727 


16 


.2792627 


4i 


. 7 x5585o 


9 


.6707963 


16 


.0046642 


16 


.0000776 


17 


.2967060 


42 


.733o383 


100 


.7453293 


17 


.0049461 


l l 


.0000824 


18 


.3i4i5 9 3 


43 


.7604916 


1X0 


.9198622 


18 


.0062360 


18 


.0000873 


I 9 


.33i6i26 


44 


.7679449 


I2O 


2.0943961 


J 9 


.0066269 


J 9 


.0000921 


20 


. 3490669 


45 


.7863982 


x3o 


2.2689280 


20 


.0068178 


20 


.0000970 


21 


.3665i 9 i 


46 


.8028616 


x4o 


2.4434610 


26 


.0072722 


26 


.0001212 


22 


.3839724 


47 


.82o3o47 


x5o 


2.6179989 


3o 


.0087266 


'>o 


.oooi454 


3 


.4014267 


48 


.8377680 


1 60 


2.7926268 


4o 


.01x6355 


40 


.0001939 


24 


.4188790 


49 


.85521x3 


170 


2.9670697 


5o 


.0145444 


5o 


.0002424 


25 


.4363323 


5o 


-.8726646 


1 80 


3.1416927 


60 


.0174533 


60 


.0002909 



ISC) 



TRAVERSE TABLE. 



Course. 


Dist. I. 


Dist. 2. 


Dist. 3. 


Dist. 4. 

* 


Dist. 6. 






Lat 


Dep. 


Lat 


Dep. 


Lat 


Dep. 


Lat 


Dep. 


Lat 


Dep. 




o / 






















/ 


o i5 


I.OOOO 


c. oo4/4 


? OOOO 


o.oo8 7 


3. oooo 


o.oiSi 


4-OOOO 


O.OI 7 5 


5. OOOO 


O.O2I$ 


89 45 


3o 


OOOO 


oo8 7 


1.9999 


oi 7 5 


2.9999 


0262 


3.9998 


o34 9 


4- 999 8 


o436 


3o 


45 


0.9999 


oi3i 


9998 


0262 


9997 


o3 9 3 


9997 


o52^! 


9996 


o654 


i5 


I O 


9998 


oi 7 5 


9997 


o34 9 


999 5 


o524 


9994 


o6 9 8 


9992 


087; 


89 o 


16 


9998 


0218 


1 

999 5 


o436 


999 3 


o654 


999 


o8 7 3 


0988 


io 9 i 


45 


3o 


9997 


0262 


9993 


o524 


999 


o 7 85 


99 86 


io4 7 


5 9 83 


i3o 9 


3o 


45 


r 

999 5 


o3o5 


9991 


0611 


99 86 


o 9 i6 


99 8i 


1222 


9977 


i5 27 


16 


2 


9994 


o34 9 


9988 


o6 9 8 


9982 


io4 7 


9976 


i3 9 6 


9970 


i 7 45 


88 o 


i5 


9992 


o3 9 3 


99 85 


o 7 85 


9977 


1178 


9969 


i5 7 o 


996i 


i 9 63 


45 


3o 


9990 


o436 


99 8i 


o8 7 2 


997i 


i3o 9 


9962 


i 7 45 


99 5 2 


2181 


3o 


45 


0.9988 


o.o48o 


i. 9977 


o.o 9 6o 


2.9966 


o.i43 9 


3. 99 54 


o.i 9 i 9 


4*9942 


o. 2 3 99 


i5 


3 o 


9986 


o523 


9973 


io4 7 


99 5 9 


i5 7 o 


99 45 


20 9 3 


99 3i 


26l 7 


87 o 


i5 


9984 


o56 7 


99 68 


n34 


99 5 2 


I 7 OI 


99 36 


2268 


9920 


2835 


45 


3o 


9981 


0610 


99 63 


1221 


9944 


i83i 


99 25 


2442 


9907 


3o5 2 


3o 


45 


9979 


o654 


99 5 7 


i3o8 


99 36 


I 9 62 


99 i4 


2616 


9 8 9 3 


32 7 


i5 


4 o 


9976 


o6 9 8 


99 5i 


i3 9 5 


9927 


20 9 3 


99 o3 


2 79 O 


9878 


3488 


86 o 


i5 


997 3 


o 7 4i 


99 45 


1482 


9918 


2223 


9 8 9 o 


2 9 64 


9 863 


3 7 o* 


45 


3o 


9969 


o 7 85 


99 38 


i56 9 


99 o8 


2354 


9877 


3i38 


9 846 


3 9 23 


3o 


45 


9966 


0828 


99 3i 


i656 


9 8 97 


2484 


9 863 


33i2 


9 828 


4i4o 


i5 


5 o 


9962 


o8 7 2 


9924 


i 7 43 


9 886 


2 6i5 


9848 


3486 


9 8io 


4358 


85 o 


i5 


o. 99 58 


o.o 9 i5 


1.9916 


o.i83o 


2 . 9 8 7 4 


o.2 7 45 


3. 9 832 


o.366o 


4. 979 o 


o.45 7 5 


45 


3o 


99 5 4 


o 9 58 


99 o8 


I 9 i 7 


9 862 


2 8 7 5 


9 8i6 


3834 


977 


4 79 2 


3o 


45 


99 5 


1002 


9 8 99 


2004 


9849 


3oo6 


9799 


4oo8 


97 48 


5oo 9 


i5 


6 o 


9945 


io45 


9 8 9 o 


2O 9 I 


9836 


3i36 


978i 


4i8i 


97 26 


5226 


84 o 


i5 


9941 


1089 


9 88i 


2I 77 


9822 


3266 


97 62 


4355 


97 o3 


5443 


45 


3o 


9936 


iiSa 


9 8 7 i 


2264 


98o 7 


33 9 6 


9743 


4528 


9679 


566o 


3o 


45 


99 3i 


n 7 5 


9 86i 


235l 


979 2 


3526 


9723 


4 7 oi 


9 653 


58 77 


i5 


7 


99 25 


1219 


9 85i 


a43 7 


9776 


3656 


97 02 


48 7 5 


9627 


6o 9 3 


83 o 


i5 


9920 


1262 


9 84o 


2524 


97 6o 


3 7 86 


9 68o 


5o48 


9600 


63io 


45 


3o 


Q9i4 


i3o5 


9 82 9 


2611 


9743 


3 9 i6 


9 658 


5221 


9 5 7 2 


6526 


3o 


45 


0.9909 


0.1349 


i. 9 8i 7 


o.26 97 


2.9726 


o.4o46 


3. 9 635 


o.53 9 4 


4. 9 543 


o.6 7 43 


i5 


8. o 


9903 


1392 


9 8o5 


2 7 83 


97 o8 


4i 7 5 


9 6n 


556 7 


9 5i3 


6 9 5 9 


82 o 


i5 


9897 


i435 


9793 


28 7 


9 6 9 o 


43o5 


9 586 


5 7 4o 


9 483 


7175 


45 


3o 


9 8 9 o 


i4 7 8 


97 8o 


2 9 56 


9 6 7 o 


4434 


9 56i 


5 9 I2 


9 45i 


7 3 9 o 


3o 


45 


9 884 


l52I 


97 6 7 


3o42 


9 65i 


4564 


9 534 


6o85 


9 4i8 


7606 


i5 


9 o 


9877 


1 564 


97 54 


3i2 9 


9 63i 


46 9 3 


9 5o8 


625 7 


9 384 


7822 


81 o 


i5 


9 8 7 o 


i6o 7 


97 4o 


32 1 5 


9 6io 


4822 


9 48o 


643o 


9 35o 


8037 


45 


3o 


9 863 


i65o 


97 26 


33oi 


9 58 9 


4 9 5i 


9 45i 


6602 


9 3i4 


8252 


3o 


45 


9 856 


i6 9 3 


97 n 


338 7 


9 56 7 


5o8o 


9 422 


6 77 4 


9 2 7 8 


846 7 


i5 


10 


9 848 


I 7 36 


9696 


34 7 3 


9 544 


52O 9 


9 3 9 2 


6 9 46 


9 240 


8682 


80 o 


i5 


o. 9 84o 


o-i779 


i. 9 68i 


o.355 9 


2. 9 52I 


0.5338 


3. 9 362 


o. 7 n8 


[.9202 


o.88 97 


45 


. 3o 


9 833 


1822 


9 665 


3645 


9 4 9 8 


546 7 


9 33o 


7 28 9 


9 i63 


9 II2 


3o 


45 


9 825 


i865 


9 64 9 


3 7 3o 


9 4 7 4 


55 9 6 


9 2 9 8 


746 1 


9 I23 


9 326 


i5 


II 


9 8i6 


1908 


9 633 


38i6 


9 44 9 


5 7 24 


9 265 


7 63 2 


9 o8i 


9 54o 


70 o 


i5 


9 8o8 


igSi 


9 6i6 


3 9 02 


9424 


5853 


9 23l 


7804 


9 o3 9 


9755 


45 


3o 


9799 


1994 


9 5 9 8 


3 9 8 7 


9 3 9 8 


5 9 8i 


9197 


797 5 


8 99 6 


99 68 


3o 


45 


979 


2o36 


9 58i 


4o 7 3 


9 3 7 i 


6io 9 


9 l62 


8i46 


8 9 52 


1.0182 


i5 


12 o 


97 8i 


ao 79 


9 563 


4i58 


9 344 


623 7 


9 I26 


83i6 


8 9 o 7 


o3 9 6 


78 o 


i5 


977 2 


2122 


9 545 


4244 


9 3i 7 


6365 


9 o8 9 


848 7 


8862 


o6o 9 


45 


3o 


9763 


2 1 64 


9 526 


432 9 


9 28 9 


64 9 3 


9 o52 


8658 


88i5 


0822 


3o 


45 


o. 97 53 


O.22O 7 


i. 9 5o 7 


o.44 1 4 


2. 9 26o 


0.6621 


3. 9 oi4 


0.8828 


4.8 7 6 7 


i.io35 


i5 


i3 o 


97 44 


2250 


9 48 7 


44 99 


9 23l 


6 7 4 9 


8 97 5 


8 99 8 


8 7 i 9 


1248 


77 


i5 


9734 


2292 


9 468 


4584 


9 20I 


68 7 6 


8 9 35 


9 i68 


866 9 


i46o 


45 


3o 


97 24 


2334 


9 44 7 


466 9 


9 I 7 I 


7 oo3 


88 9 5 


9 338 


8618 


l6 7 2 


3o 


45 


97 i3 


2 3 77 


9 42 7 


4 7 54 


9 i4o 


7 i3i 


8854 


9 5o 7 


856 7 


1884 


-5 


i4 o 


97 o3 


2419 


9 4o6 


4838 


9 I0 9 


7 258 


8812 


9677 


85i5 


2O 9 6 


7 6 o 


i5 


9 6 9 2 


2462 


9 385 


4 9 23 


977 


7 385 


8 7 6 9 


9 846 


8462 


a3o8 


45 


3o 


9 68i 


25o4 


9 363 


5oo8 


9 o44 


7 5n 


8 7 26 


I.OOlS; 


8407 


25i 9 


3o 


45 


9 6 7 o 


2546 


9 34i 


5o 9 2 


9 OII 


7 638 


8682 


0184 


8352 


2 7 3o 


i5 


i5 o 


9 65 9 


2588 


9 3i 9 


5i 7 6 


8 97 8 


7765 


863 7 


o353 


82 9 6 


2 9 4l 


7 5 o 




Dep. 


Lat 


Dep. 


Lat 


Dep. 


Lat 


Dep. 


Lat. i 


Dep. 


Lat 






Dist. 1. 


Dist. 2. 


Dist. 3. 


Dist. 4. Dist. 5. 


Couna. 



TRAVERSE TABLE. 



137 



Course. 


Dist. 6. 


Dist, 7. 


Dist. 8. 


Dist. 9. 


Dist. 10. 






Lat. 


Dep. 


Lat. 


Dep. 


Lat. j Dep. 


Lat i 


Dep. 


Lat 


Dep. 




o / 






















/ 


o i5 


6.9999 


.0262 


9999 


o.o3o5 


9999 


o.o34 9 


9999 


O.oSgS 


9-9999 


o.o436 


8 9 45 


3o 


9998 


o524 


9997 


06 1 1 


9997 


o6 9 8 


9997 


o 7 85 


999 6 


o8 7 3 


3o 


45 


999 5 


o 7 85 


9994 


0916 


999 3 


io4 7 


9992 


1178 


999 T 


i3oo 


i5 


: o 


9991 


1047 


9989 


1222 


9988 


i3 9 6 


9986 


i5 7 i 


99 85 


I745 1 


8 9 o 


i5 


9986 


1 309 


99 83 


l52 7 


9981 


i 7 45 


9979 


1963 


9976 


2181 


45 


3o 


9979 


1571 


997 6 


i832 


997 3 


2094 


9969 


2356 


99 66 


2618 


3o 


45 


9972 


i832 


9967 


2i38 


99 63 


2443 


99 58 


2 7 48 


99 53 


3o54 


i5 


2 


9963 


2094 


99 5 7 


2443 


99 5i 


2 79 2 


9945 


3i4i 


99 3 9 


34 9 o 


8 o 


i5 


9954 


2 356 


9946 


2748 


99 38 


3i4i 


99 3i 


3533 


99 23 


3 9 26 


45 


3o 


9943 


2617 


99 33 


3o53 


99 24 


34 9 o 


9914 


3926 


99 o5 


4362 


3o 


45 


5. 99 3i 


.2879 


.9919 


0.3358 


99 8 


0.3838 


.9896 


o.43i8 


. 9 885 


0.4798 


i5 


3 o 


9918 


3i4o 


99 o4 


3664 


9 8 9 o 


4i8 7 


9877 


4 7 io 


9 863 


5 2 34 


7 o 


i5 


9904 


3402 


9887 


3 9 68 


9 8 7 i 


4535 


9 855 


5l02 


9 83 9 


566 9 


45 


3o 


9888 


3663 


9869 


42 7 3 


9 85i 


4884 


9832 


5494 


9 8i3 


6io5 


3o 


45 


9872 


3 9 24 


985o 


45 7 8 


9 82 9 


5232 


9807 


5886 


97 86 


654o 


i5 


4 o 


9 854 


4 1 85 


9829 


4883 


9 8o5 


558i 


9781 


62 7 8 


9756 


6 9 76 


6 o 


16 


9835 


444? 


9808 


5i88 


9 78o 


5 9 2 9 


9753 


6670 


9725 


74n 


45 


3o 


9815 


4708 


9784 


54 9 2 


9753 


62 77 


9723 


7061 


9 6 9 2 


7 846 


3o 


45 


9794 


4 9 68 


9760 


5 797 


9725 


6625 


9691 


7453 


9 65 7 


8281 


i5 


5 o 


9772 


522 9 


97 34 


6101 


9 6 9 6 


6 97 2 


9 658 


7844 


9 6i 9 


8716 


5 o 


i5 


5. 97 48 


.54 9 o 


.9706 


o.64o5 


. 9 664 


0.7320 


. 9 622 


0.8235 


. 9 58o 


o. 9 i5o 


45 


3o 


9724 


5 7 5i 


9678 


67O 9 


9 632 


7668 


9 586 


8626 


9 54o 


9 585 


3o 


45 


9698 


6on 


9 648 


7013 


9 5 97 


8oi5 


9 547 


9017 


9 4 97 


.0019 


i5 


6 o 


9671 


6272 


9617 


7 3i 7 


9 562 


8362 


9 5 7 


9408 


9 452 


o453 


84 o 


i-5 


9 643 


6532 


9 584 


7621 


9 5 2 5 


&70 9 


9 465 


9798 


9 4o6 


0887 


45 


3o 


9614 


6 79 2 


9 55o 


7 9 24 


9 486 


9 o56 


9 42I 


.0188 


9 35 7 


1320 


3o 


45 


9 584 


7052 


9 5i5 


8228 


9 445 


9 4o3 


9 3 7 6 


0578 


9 3o 7 


1754 


i5 


7 


9553 


7312 


0478 


853i 


9 4o4 


97 5o 


9 32 9 


0968 


9 255 


2187 


83 o 


i5 


9520 


7 5 7 2 


9 44o 


8834 


9 36o 


1.0096 


9 28o 


i358 


9 2OO 


2620 


45 


3o 


948 7 


7832 


9 4oi 


9 i3 7 


9 3i6 


o442 


9 23o 


1747 


9 i44 


3o53 


3o 


45 


. 9 45 2 


o.8o 9 i 


. 9 36i 


o. 9 44o 


7. 9 26 9 


1.0788 


8. 9 i 7 8 


1.2137 


9 . 9 o8 7 


1.3485 


i5 


8 o 


94i6 


835o 


9 3r 9 


97 42 


9221 


n34 


91*4 


2526 


9 027 


3 9 i 7 


82 o 


:5 


9 3 79 


8610 


9 276 


.0044 


9 I 7 2 


1479 


9 o6 9 


2914 


8 9 65 


434 9 


45 


3o 


934i 


886 9 


9 23l 


o347 


9 I2I 


1825 


9 OI I 


33o3 


8 9 02 


4 7 8i 


3o 


45 


9302 


9 :2 7 


9 i85 


o64 9 


9 o6 9 


2170 


8 9 53 


3691 


8836 


5212 


i5 


9 


9261 


9 386 


9 i38 


o 9 5o 


9 oi5 


2 5i5 


88 9 2 


4079 


8769 


5643 


81 o 


i5 


9220 


9 645 


9 o 9 o 


1262 


8 9 6o 


2 85 9 


883o 


4467 


8700 


6o 7 4 


45 


3o 


9177 


99 o3 


9 o4o 


i553 


8 9 o3 


3204 


8766 


4854 


8629 


65o5 


3o 


45 


9 i33 


1.0161 


8989 


i854 


8844 


3548 


8700 


524i 


8556 


6 9 35 


i5 


IO O 


9088 


o4i 9 


8 9 3 7 


2i55 


8 7 85 


3892 


8633 


56 2 8 


848 1 


7 365 


80 o 


i5 


5.9042 


1.0677 


6.8883 


1.2456 


7.8723 


1.4235 


8.8564 


i.6oi5 


9 .84o4 


1.7794 


45 


3o 


8 99 5 


o 9 3^ 


8828 


2756 


8660 


4579 


84 9 3 


64oi 


8325 


8224 


3o 


45 


8 9 4 7 


n 9 i 


8772 


3o5 7 


85 9 6 


4922 


8421 


6787 


8245 


8652 


i5 


II O 


88 9 8 


i44 9 


8714 


335 7 


853o 


5 2 65 


8346 


7173 


8i63 


9 o8i 


79 


i5 


884? 


I 7 o5 


8655 


3656 


8463 


5607 


8271 


7 558 


8079 


9 5o 9 


45 


3o 


8 79 5 


I 9 62 


85 9 5 


3 9 56 


83 9 4 


5 9 4 9 


8i 9 3 


7943 


7992 


99 3 7 


3o 


45 


8 7 43 


22I 9 


8533 


4255 


8324 


62 9 I 


8n4 


83 2 8 


79 5 


2.o364 


i5 


12 O 


868 9 


24 7 5 


8470 


4554 


8252 


6633 


8o33 


8712 


7 8i5 


O7 9 i 


78 o 


i5 


8634 


2 7 3l 


84o6 


485 2 


8178 


6 9 74 


79 5i 


9 o 9 6 


7723 


1218 


45 


3o 


85 7 8 


2986 


834i 


5i5i 


8io4 


7 3i5 


7867 


9 48o 


7 63o 


1 644 


3o 


45 


5.852 


1.3242 


6.8274 


1.5449 


7.8027 


1.7656 


8.7781 


i. 9 863 


9 .7534 


2.2070 


i5 


i3 o 


8462 


34 9 7 


8206 


5 7 4 7 


7 9 5o 


799 6 


7 6 9 3 


2.0246 


7437 


24 9 5 


77 


i5 


84o3 


3 7 5 2 


8i3 7 


6o44 


7870 


8336 


760^ 


0628 


7 338 


2 9 20 


45 


3o 


8342 


4oo 


8o6e 


634 


779 


8676 


7 5i3 


1010 


72 3 7 


3345 


3o 


45 


828 


426 


799^ 


6638 


777 


9 oi5 


7 42I 


I3 9 2 


7 i34 


3 7 6 9 


i5 


i4 o 


8218 


45i 


7921 


6935 


7 624 


9 354 


7 32 7 


1773 


7o3o 


4l 9 2 


76 o 


i5 


8i54 


4 7 6 9 


784C 


723 


7 538 


9 6 9 2 


7 23l 


2i54 


6923 


46i5 


45 


3o 


8089 


502 


777 c 


7527 


7 452 


2.oo3o 


7 i33 


2534 


68i5 


5o38 


3o 


45 


802^ 


627 


7 6 9 : 


7822 


?364 


o368 


7 o34 


2 9 l4 


6705 


546o 


i5 


i5 o 


79 5 


552 


7 6if 


Six 


7 2 7^ 


0706 


6 9 33 


32 9 4 


65 9 3 


5882 


7 5 o 




Dep. 


Lat. 


Dg. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat 






Dist. 6. 


Dist. 7. 


Dist. 8. 


Dist. 9. 


Dist. 10. 


Course. 



138 



TRAVERSE TABLE. 



Course 


Dist. 1. 


Dist. 2. 


Dist. 3. 


Dist. 4. 


Dist. 5. 






Lat. 


Dep. 


Lat. 


Dep. 


Lat 


Dep. 


Lat. 


Dep. 


Lat 


Dep. 




o / 






















o / 


i5 i 


o. 9 64 


0.263 


I. 9 2 9 6 


0.526 


2.8 9 4 


o. 7 8 9 


3.85 9 i 


1.052 


4823 


i.3i5 


74 45 


3 


963e 


267 


9 2 7 3 


534 


8 9 o 


801 


854f 


o6 9 


Si8 


336 


3o 


4 


06-26 


271^ 


9 24 9 


542 


8874 


8i4 


84 9 


o85 


812 


35 7 


i5 


16 o 


9613 


276 


9 225 


55i 


8838 


826 


845c 


102 


806 


3 7 8 


74 o 


i 


9600 


279 


9 2OI 


55 9 


880 


83 9 


8402 


II 9 


800 


3 99 


45 


3o 


9 588 


284 


9 : 7 6 


568 


8 7 65 


85 2 


8353 


i36 


794 


420 


3o 


4 


9 5 ? 6 


288 


9 i5i 


5764 


8727 


864 


83o3 


l52 


787 


44 1 


i5 


17 o 


9 563 


2922 


9 I26 


584 


868 9 


877 


8 2 5a 


i6 9 


781 


46i 


7 3 o 


i5 


955o 


2 9 65 


9 ioo 


5 9 3 


865i 


88 9 


8201 


186 


77 5 


482 


45 


3o 


9 53 7 


3oo 7 


9074 


6oi/ 


8612 


9 O2 


8i4 9 


202 


7686 


5o3 


3o 


45 


0.9524 


o.3o4 9 


i. 9 o48 


o.6o 9 


2.8572 


o. 9 i4 


3.8o 9 6 


1.219 


4.7620 


1.5243 


i5 


18 o 


95n 


3090 


9 O2I 


6180 


8532 


9 2 7 


8042 


236 


7 553 


545 


7 2 


i5 


9497 


3i32 


8 99 4 


6263 


84 9 i 


9 3 9 5 


79 88 


252 


7485 


5658 


45 


3o 


9 483 


3i 7 3 


8 9 66 


6346 


845o 


9 5i 9 


7933 


2692 


7 4i6 


5865 


3o 


45 


9469 


32i4 


8 9 3 9 


642 9 


84o8 


9 643 


7877 


2858 


7 34 7 


6072 


i5 


19 o 


9 455 


3256 


8 9 io 


65u 


8366 


9767 


7821 


3o23 


7276 


6278 


7 I 


i5 


944i 


32 97 


8882 


65 9 4 


8323 


9 8 9 i 


77 64 


3i88 


7204 


6485 


45 


3o 


9426 


3338 


8853 


6676 


8270. 


1.0012 


7706 


3352 


7 l32 


66 9 o 


3o 


45 


9412 


33 79 


8824 


6 7 58 


8235 


oi38 


7647 


35i 7 


7 o5 9 


68 9 6 


i5 


20 


9 3 97 


3420 


8 79 4 


684o 


8i 9 i 


0261 


7588 


368i 


6 9 85 


7101 


7 o o 


i5 


o. 9 38 2 


i.346i 


i.8 7 64 


O.6 9 22 


2.8146 


i.o384 


3.7528 


1.3845 


i.6 9 io 


i. 7 3o6 


45 


3o 


9 36 7 


35o2 


8 7 33 


7OO; 


8100 


o5o6 


746 7 


4oo8 


6834 


7 5io 


3o 


45 


9 35i 


3543 


8 7 o3 


7086 


8o54 


o62 9 


74o5 


4i 7 s 


6 7 5 7 


77 i5 


i5 


21 


9 336 


3584 


86 7 2 


7167 


8007 


o 7 5i 


7 343 


4335 


66 79 


79 i8 


69 o 


i5 


9320 


3624 


864o 


7249 


7 9 6o 


0873 


7280 


4498 


6600 


8122 


45 


3o 


93o4 


3665 


8608 


7 33o 


79 i3 


o 99 5 


7217 


466o 


652i 


8325 


3o 


45 


9288 


3706 


85 7 6 


74n 


7864 


1117 


7 l52 


4822 


644o 


85 2 8 


i5 


22 


9272 


3746 


8544 


7492 


7816 


1238 


7087 


4984 


635 9 


8 7 3o 


68 o 


15 


9 255 


3 7 86 


85n 


7 5 7 3 


7766 


i35 9 


7022 


5i46 


62-7-7 


8 9 32 


45 


3o 


9239 


3827 


84 7 8 


7 654 


7716 


i48i 


6 9 55 


53o 7 


6r 9 4 


9 i34 


3o 


45 


0.9222 


o.386 7 


1.8444 


o. 77 34 


3.7666 


1.1601 


3.6888 


1.5468 


4-6i 10 


. 9 336 


i5 


23 


9205 


3907 


84io 


7816 


7 6i5 


1722 


6820 


562 9 


6o 2 5 


9 53 7 


6 7 o 


i5 


9188 


3 9 4 7 


83 7 6 


7 8 9 5 


7564 


1842 


6762 


5 79 o 


5 9 4o 


97 3 7 


45 


3o 


9171 


3 9 8 7 


834i 


7975 


7 5l2 


I 9 62 


6682 


5 9 5o 


5853 


99 3 7 


3o 


4^ 


9 i53 


4027 


83o6 


8o55 


7 45 9 


2082 


6612 


6110 


5 7 66 


2.0l3 7 


i5 


,24 o 


9 i35 


4o6 7 


82 7 I 


8i35 


7 4o6 


22O2 


6542 


6269 


56 77 


o33 7 


66 o 


i5 


9118 


4107 


8235 


8214 


7 353 


2322 


6470 


6429 


5588 


o536 


45 


3o 


9100 


4i4? 


8i 99 


8294 


7299 


244 1 


63 9 8 


6588 


54 9 8 


o 7 35 


3o 


45 


9081 


4i8 7 


8i63 


83 7 3 


7244 


256o 


6326 


6 7 46 


54o 7 


o 9 33 


i5 


25 


9063 


4226 


8126 


8452 


7 i8 9 


267 9 


6252 


6905 


53i5 


u3i 


65 o 


i5 


0.9045 


0.4266 


.8o8 9 


o.853i 


7 i34 


2797 


.6178 


i. 7 o63 


.5223 


.1328 


45 


3o 


9026 


43o5 


8o5 2 


8610 


7 o 7 8 


2 9 l5 


6io3 


7 22O 


5l2 9 


i5 2 6 


3o 


45 


9007 


4344 


8oi4 


8689 


7021 


3o33 


6028 


7 3 7 8 


5o35 


I 7 22 


i5 


26 o 


8988 


4384 


797 6 


8767 


6 9 64 


3i5i 


5 9 5 2 


7 535 


4 9 4o 


I 9 I 9 


64 o 


i5 


8969 


4423 


79 3 7 


8846 


6 9 o6 


3 2 6 9 


58 7 5 


-7692 


4844 


2Il4 


45 


3o 


8949 


4462 


7 8 99 


8924 


6848 


3386 


5 797 


7 848 


4 7 4 7 


23lO 


3o 


45 


8930 


45oi 


7 86o 


9002 


6 7 8 9 


35o3 


5 7 i 9 


8oo4 


464 9 


2 5o5 


i5 


27 o 


8910 


454o 


7 820 


9080 


6 7 3o 


3620 


564o 


8160 


455o 


3 7 OO 


3 o 


i5 


8890 


45 7 9 


77 8o 


9i5 7 


6671 


3 7 36 


556i 


83i5 


445i 


a8 9 4 


45 


3o 


8870 


46i 7 


77 4o 


9235 


6610 


3852 


548o 


84 7 o 


435i 


3o8 7 


3o 


45 


.885o 


0.4656 


.7700 


.9312 


.655o 


.3 9 68 


.54oo 


1.8625 


4a4 9 


.3 2 8i 


i5 


28 o 


8829 


46 9 5 


7 65 9 


9 38 9 


6488 


4o84 


53i8 


8 779 


4i4 7 


34 7 4 


)2 O 


i5 


8809 


4733 


7618 


9 466 


6427 


4200 


5236 


8 9 33 


4o45 


3666 


45 


3o 


8788 


477 2 


7 5 7 6 


9 543 


6365 


43i5 


5i53 


9 o86 


3 9 4i 


3858 


3o 


45 


8767 


48io 


7 535 


9 620 


63o2 


443o 


5 069 


9 24o 


3836 


4o4 9 


i5 


39 o 


8 7 46 


4848 


74 9 a 


9 6 9 6 


623 9 


4544 


4 9 85 


9 3 9 2 


3 7 3i 


4a4o 


I O 


i5 


8 7 a5 


4886 


7 45o 


977 2 


6i 7 5 


465 9 


4 9 oo 


9 545 


36a5 


443i 


45 


3o 


8704 


4 9 24 


74o 7 


9 848 


6111 


4773 


48i4 


9 6 97 


35i8 


4621 


3o 


45 


868a 


4 9 6a 


7364 


99 24 


6o46 


4886 


4728 


9 84 9 i 


34io 


48ii 


i5 


3o o 


8660 


5ooo 


7 32I 


c.oooo 


5 9 8i 


5ooo 


464 1 


.0000 


33oi 


5ooo 


O 




Dop. 


Lat 


Dep. 


Lat. 


Dep. j Lat 


Dep. 


Lat 


Dep. 


Lat 1 






Dist. 1. 


Dist. 2. 




Dist. 3. 


Dist. 4. 


Dist. 5. 


ourae. 



TRAVERSE TABLE. 



Course. 


Dist. 6. 


Dist. 7. 


Dist. 8. 


Dist. 9. 


Dist. 10. 






Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat 


Dep. 




o / 






















o / 


i5 16 


5. 7 88 7 


1.5782 


6. 7 535 


i.84i2 


7 . 7 i83 


2.IO42 


8.683i 


2.36 7 3 


9 .64 79 


2.6303 


7 4 45 


3o 


7818 


6o34 


7 454 


8 7 o 7 


7 o 9 o 


i3 79 


6 7 2 7 


4o5i 


6363 


6 7 24 


3o 


45 


7?4? 


6286 


7 3 7 2 


9 ooi 


6 99 6 


I 7 i5 


6621 


443o 


6246 


7 i44 


r5 


16 o 


7676 


6538 


7288 


9 2 9 5 


6 9 oi 


2o5i 


65i4 


48o 7 


6126 


7 564 


7 4 o 


i5 


7603 


6790 


7 2o3 


9 588 


68o4 


2386 


64o4 


5i85 


6oo5 


79 83 


45 


3o 


7529 


7 o4i 


7117 


9 88i 


6 7 o6 


2 7 2I 


6294 


556i 


588 2 


8402 


3o 


45 


7454 


7292 


7 o3o 


2.0I 7 4 


6606 


3o56 


6181 


5 9 38 


5 7 5 7 


8820 


i5 


17 o 


7 3 7 8 


7 542 


6 9 4i 


o466 


65o4 


33 9 o 


6o6 7 


63i3 


563o 


9 23 7 


7 3 o 


T *5 


73oi 


7792 


' 685i 


o 7 58 


6402 


3 7 23 


5 9 52 


668 9 


55o2 


9 654 


45 


3o 


7223 


8042 


6 7 6o 


io4 9 


62 97 


4o56 


5835 


7 o64 


53 7 2 


3.oo 7 i 


3o 


45 


5. 7 i44 


1.8292 


6.6668 


2.i34i 


7.6192 


2.438 9 


8.5 7 i6 


2 . 7 438 


9 .524o 


3.o486 


i5 


18 o 


7063 


854i 


65 7 4 


i63i 


6o85 


4 7 2I 


SSgS 


7 8l2 


5io6 


O 9 O2 


7 2 


i5 


6982 


8790 


64 79 


1921 


5 97 6 


5o53 


54 7 3 


8i85 


4 97 o 


i3i6 


45 


3o 


6899 


9o38 


6383 


2211 


5866 


5384 


5349 


855 7 


4832 


i 7 3o 


3o 


45 


6816 


9286 


6285 


2501 


5 7 54 


5 7 i5 


5224 


8 9 3o 


46 9 3 


2i44 


i5 


19 o 


6 7 3i 


9 534 


6186 


2 7 90 


564i 


6o45 


5o 97 


9 3oi 


4552 


255 7 


7 I 


i5 


6645 


9781 


6086 


3o 7 8 


5527 


63 7 5 


4968 


9 6 7 2 


44o 9 


2 9 6 9 


45 


3o 


6558 


2.0028 


5 9 85 


3366 


54n 


6 7 o5 


4838 


3.oo43 


4264 


338i 


3o 


45 


6471 


0275 


5882 


3654 


52 9 4 


7 o33 


4 7 o6 


o4i3 


4n8 


3 79 2 


i5 


20 o 


6382 


O52I 


5 77 8 


3941 


5i 7 5 


7 362 


45 7 2 


0-782 


3 9 6 9 


4202 


7 o o 


i5 


5.6291 


2.0767 


6.56 7 3 


2.4228 


7 .5o55 


2. 7 68 9 


8.443 7 


3.ii5i 


9 .38i 9 


3.46i2 


45 


3o 


6200 


1012 


556 7 


45i5 


4 9 34 


8oi 7 


43oo 


i5i 9 


366 7 


5021 


3o 


45 


6108 


1257 


545 9 


48oo 


48n 


8343 


4162 


1886 


35i4 


542 9 


i5 


il 


6oi5 


i5o2 


535i 


5o86 


4686 


866 9 


4022 


2253 


3358 


583 7 


60 o 


i5 


5920 


1746 


5 24 1 


53 7 i 


456i 


8 99 5 


388i 


2619 


3201 


6244 


45 


3o 


5825 


1990 


5l2 9 


5655 


4433 


9 320 


3 7 38 


2 9 85 


3o42 


665o 


3o 


45 


5729 


2233 


5oi 7 


5 9 3 9 


43o5 


9 645 


SSgS 


335o 


2881 


7 o56 


16 


22 O 


563i 


2476 


4 9 o3 


6222 


4i 7 5 


99 6 9 


344 7 


3 7 i5 


2 7 l8 


7 46i 


68 o 


15 


5532 


2719 


4 7 88 


65o5 


4o43 


3.O2 9 2 


3299 


4o 7 8 


2 554 


7 865 


45 


3o 


5433 


2961 


46 7 2 


6 7 88 


3 9 io 


o6i5 


3i4 9 


4442 


2388 


8268 


3o 


45 


5.5332 


2.3203 


6.4554 


2. 7 7 


7.3776 


3.o 9 3 7 


8.2 99 8 


3.48o4 


9 .222O 


3.86 7 i 


i5 


23 


5 2 3o 


3444 


4435 


7 35i 


364o 


1258 


2845 


5i66 


2o5o 


97 3 


5 7 o 


i5 


5127 


3685 


43i5 


7 632 


35o3 


i58o 


26 9 I 


552 7 


i8 79 


9 4 7 4 


45 


3o 


5o24 


3 9 25 


4i 9 4 


79 I2 


3365 


I 9 00 


2535 


588 7 


1-706 


9 8 7 5 


3o 


45 


4919 


4i65 


4o 7 2 


8l 9 2 


3225 


222O 


23 7 8 


624 7 


i53i 


4.o2 7 5 


i5 


24 o 


48i3 


44o4 


3 9 48 


84-72 


3o84 


253 9 


22I 9 


6606 


i355 


o6 7 4 


66 o 


i5 


4706 


4643 


3823 


8 7 5o 


2 9 4i 


2858 


2o5 9 


6 9 65 


11-76 


I0 7 2 


45 


3o 


45 9 8 


4882 


36 97 


9 02 9 


2 797 


3i 7 5 


i8 97 


7 322 


o 99 6 


i46 9 


3o 


45 


448 9 


5l20 


35 7 o 


9 3o6 


2 65i 


3493 


: 7 33 


7 6 79 


o8i4 


1866 


i5 


25 


43 7 8 


5357 


3442 


9 583 


25o5 


38o 9 


i568 


8o36 


o63i 


2262 


65 o 


i5 


5.4267 


2.5594 


6.3312 


2. 9 86o 


7 .2356 


3.4i25 


8.i4oi 


3.83 9 i 


9 .o446 


4.265 7 


45 


3o 


4i55 


583i 


3i8i 


3.oi36 


220 7 


444 1 


1233 


8 7 46 


O25 9 


3o5i 


3o 


45 


4042 


6067 


3o4 9 


o4u 


2o56 


4 7 56 


io63 


9100 


OO 7 O 


3445 


i5 


26 o 


3928 


63o2 


2 9 l6 


0686 


i 9 o4 


5o 7 o 


o8 9 i 


9 453 


8. 9 8 79 


383 7 


64 o 


i5 


38i2 


6537 


2 7 8l 


o 9 6o 


i 7 5o 


5383 


o 7 i 9 


9806 


9 68 7 


422 9 


45 


3o 


36 9 6 


6772 


2645 


1234 


i5 9 5 


56 9 6 


o544 


4-oi58 


9 4 9 3 


462O 


3o 


45 


35 79 


7006 


25o 9 


i5o 7 


i438 


6008 


o368 


0509 


9 2 9 8 


5oio 


i5 


27 o 


346o 


72 3 9 


23 7 


1779 


1281 


63i 9 


OI 9 I 


0859 


9 IOI 


53 99 


63 o 


i5 


334i 


7472 


223l 


2o5i 


II2I 


663o 


OOI2 


1209 


8 9 O2 


5 7 8 7 


45 


3o 


3221 


7705 


20 9 I 


2322 


o 9 6i 


6 9 4o 


7 . 9 83i 


i55 7 


8 7 oi 


6i 7 5 


3o 


45 


5.3o 99 


a. 79 3 7 


6.i 9 4 9 


3.25 9 3 


7-799 


3. 7 249 


7 . 9 64 9 


4.1905 


8.84 99 


4.656i 


i5 


28 o 


2977 


8168 


1806 


2863 


o636 


7 558 


9 465 


2252 


82 9 5 


6 9 4 7 


62 o 


i5 


2853 


83 99 


1662 


3i32 


o4 7 i 


7 866 


9 28o 


25 99 


8o8 9 


7 332 


45 


3o 


2729 


863o 


i5i 7 


34oi 


o3o5 


8i 7 3 


9 o 9 4 


2 9 44 


7 88a 


77 i6 


3o 


45 


2604 


885 9 


i3 7 i 


366 9 


oi38 


84 7 9 


8 9 o5 


328 9 


7 6 7 3 


8o 99 


i5 


20 O 


24?7 


9089 


1223 


3 9 3 7 


6. 997 o 


8 7 85 


8 7 i6 


3633 


7462 


848 1 


61 o 


15 


2 35o 


9 3i 7 


io 7 5 


4203 


9 8oo 


9090 


8525 


3 97 6 


7 a5o 


8862 


45 


3o 


2221 


9 545 


O 9 25 


44 7 o 


9 628 


9394 


8332 


43i8 


7 o36 


9 242 


3o 


45 


2092 


977 3 


o 77 4 


4 7 35 


9 456 


9 6 97 


8i38 


465 9 


6820 


9622 


i5 


3o o 


1962 


3.0000 


0622 


5ooo 


9 282 


4.0000 


79 42 


5ooo 


66o3 


5.0000 


60 o 




Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat 






Dist. 6. 


Dist. 7. 


Dist. 8. 


Dist. 9. 


Dist. 10. 


Course. 



?40 



TRAVERSE TABLE. 



Course. 


Dist. I. 


Dist. 2. 


Dist. 3. 


Dist. 4. 


Dist. 5. 






Lat. 


Dep. 


Lat 


Dep. 


Lat 


Dep. 


Lat 


Dep. 


Lat 


Dep. 




o / 

3o i5 


0.8638 


o.5o38 


1.7277 


i.oo 7 5 


2.5 9 l5 


I.5ll3 


3.4553 


2.Ol5l 


4.3192 


2.5l8 9 


o / 

5 9 45 


3o 


8616 


5o 7 5 


7 233 


oi5i 


584 9 


5226 


4465 


0302 


3o8i 


53 77 


3o 


45 


85 9 4 


5n3 


7 l88 


0226 


5 7 8 2 


533 9 


43 7 6 


0452 


2 97 


5565 


i5 


3i o 


85 7 2 


5i5o 


ai43 


o3oi 


5 7 i5 


545i 


428 7 


0602 


2858 


5 7 5 2 


5 9 o 


i5 


8549 


5i88 


7098 


o3 7 5 


564 7 


5563 


4i 9 6 


o 7 5i 


2 7 46 


5 9 3 9 


45 


3o 


8526 


6226 


7o53 


o45o 


55 79 


56 7 5 


4io6 


o 9 oo 


2632 


6i 2 5 


3o 


45 


85o4 


6262 


7007 


o524 


55u 


5 7 86 


4oi4 


io4 9 


2 5i8 


63u 


i5 


32 


848o 


5299 


6961 


0598 


544 1 


58 9 8 


3 9 22 


H97 


2402 


64 9 6 


58 o 


i5 


845y 


5336 


6916 


o6 7 2 


53 7 2 


6008 


382 9 


1 345 


2286 


6681 


45 


3o 


8434 


5373 


6868 


o 7 46 


53o2 


6u 9 


3 7 36 


1492 


2I 7 O 


6865 


3o 


45 


o.84io 


o.54io 


1.6821 


1.0819 


2.5231 


1.622 9 


3.3642 


2.1639 


4.2O52 


2 . 7 o4 9 


i5 


33 o 


838 7 


5446 


6 77 3 


0893 


5i6o 


633 9 


354 7 


i 7 86 


1934 


7 232 


5 7 o 


i5 


8363 


5483 


6 7 26 


0966 


5o8 9 


644 9 


345i 


1932 


1814 


7 4i5 


45 


3o 


8339 


55i 9 


66 7 8 


1039 


5oi 7 


6558 


3355 


20 77 


1694 


7 5 97 


3o 


45 


83i5 


5556 


6629 


i ii i 


4 9 44 


6667 


3 2 5 9 


2223 


i5 7 3 


7779 


ID 


34 o 


8290 


6692 


658i 


1184 


48 7 i 


6776 


3i6 2 


2368 


1452 


79 6o 


56 o 


i5 


8266 


56 2 8 


6532 


1256 


4 79 8 


6884 


3o64 


25l2 


i32 9 


8i4o 


45 


3o 


8241 


5664 


6483 


i328 


4 7 24 


6 99 2 


2 9 65 


2656 


1206 


8320 


3o 


45 


8216 


5700 


6433 


i4oo 


464 9 


7100 


2866 


2800 


1082 


85oo 


i5 


35 o 


8192 


5 7 36 


6383 


1472 


45 7 5 


7207 


2 7 66 


2 9 43 


o 9 58 


86 79 


55 o 


i5 


0.8x66 


0.5771 


1.6333 


i.i543 


2.44 99 


i. 7 3i4 


3.2666 


2.3o86 


4.o832 


2.885 7 


45 


3o 


8i4i 


5807 


6282 


1614 


4423 


7421 


2565 


3 22 8 


o 7 o6 


9 o35 


3o 


45 


8116 


5842 


623i 


i685 


434 7 


7527 


2463 


33 7 o 


o5 79 


9212 


i5 


36 o 


8090 


58 7 8 


6180 


i 7 56 


42 7 I 


7634 


236i 


35n 


o45i 


9 38 9 


54 o 


i5 


8o64 


5 9 i3 


6l2 9 


1826 


4i 9 3 


77 3 9 


2258 


3652 


0322 


9 565 


45 


3o 


SoSg 


5 9 48 


6o 77 


1896 


4n6 


7845 


2l54 


3 79 3 


0193 


9 7 4i 


3o 


45 


8oi3 


5 9 83 


6026 


1966 


4o38 


79 5o 


2o5o 


3 9 33 


oo63 


99 i6 


i5 


3y o 


7986 


6018 


5 97 3 


2o36 


3 9 5 9 


8o54 


1945 


4o 7 3 


3.9932 


3.oo 9 i 


53 o 


i5 


7960 


6o53 


5920 


2106 


388o 


8i5 9 


i84o 


4212 


9800 


0265 


45 


3o 


79 34 


6088 


586 7 


2I 7 5 


38oi 


8263 


1734 


435o 


9668 


o438 


3o 


45 


0.7907 


0.6122 


i.58i4 


1.2244 


2.3 7 2I 


i.836 7 


3.1628 


2.448 9 


3. 9 534 


3.o6i i 


i5 


38 o 


7880 


6i5 7 


6760 


23i3 


364o 


8470 


l520 


4626 


9 4oi 


o 7 83 


52 


i5 


7 853 


6191 


5 7 o6 


2382 


356o 


85 7 3 


i4i3 


4 7 64 


9 266 


o 9 55 


45 


3o 


7826 


6226 


6662 


245o 


34 7 8 


86 7 5 


i3o4 


4 9 oi 


9 i3o 


1 126 


3o 


45 


7799 


625 9 


5598 


2 5i8 


33 97 


8778 


irgS 


5o3 7 


8 99 4 


I2 9 6 


i5 


3o o 


7771 


6293 


5543 


2586 


33i4 


8880 


1086 


5i 7 3 


885 7 


f466 


5i o 


i5 


. 7744 


632 7 


5488 


2654 


3232 


8 9 8i 


0976 


53o8 


8 7 20 


i635 


45 


3o 


7716 


636i 


5432 


2 7 22 


3i4 9 


9 o82 


o865 


5443 


858i 


1804 


3o 


45 


7688 


63 9 4 


53 77 


2 7 8 9 


3o65 


9 i83 


o 7 54 


55 7 8 


8442 


19-72 


i5 


4o o 


7660 


6428 


532i 


2856 


2 9 8l 


9 284 


0642 


5 7 I2 


83o2 


2139 


5o o 


i5 


0.7632 


o.646i 


i.5 2 65 


1.2922 


2.28 97 


i. 9 384 


3.o52 9 


a 5845 


3.8162 


3.23o6 


45 


3o 


7604 


6494 


52o8 


2989 


2812 


9483 


o4i6 


S 97 8 


8020 


24 7 2 


3o 


45 


7 5 7 6 


6528 


5i5i 


3o55 


2727 


9 583 


o3o3 


Oi 10 


7 8 7 8 


2638 


i5 


4i o 


7547 


656i 


5094 


3l2I 


2641 


9682 


0188 


6242 


7735 


28o3 


4 9 o 


i5 


75x8 


65 9 3 


5o3 7 


3i8 7 


2 555 


9780 


0074 


63 7 4 


7 5 9 2 


296-7 


45 


3o 


7490 


6626 


4979 


3252 


246 9 


9879 


2. 99 58 


65o5 


7 448 


3i3i 


3o 


45 


746 1 


665g 


4921 


33i8 


2382 


9976 


9842 


6635 


7 3o3 


32 9 4 


i5 


4a o 


743i 


6691 


4863 


3383 


22 9 4 


2.0074 


9726 


6 7 65 


7 i5 7 


345 7 


48 o 


i5 


7402 


6724 


48o4 


344 7 


22O7 


0171 


9609 


68 9 5 


7 OI I 


36i8 


45 


3o 


7 3 7 3 


6 7 56 


4 7 46 


35i 2 


2118 


0268 


9491 


7024 


6864 


3 7 8o 


3o 


45 


0.7343 


0.6788 


1.4686 


i.35 7 6 


2.2030 


2.o364 


2 . 9 3 7 3 


2. 7 l52 


3.6 7 i6 


3.3 9 4o 


i5 


43 o 


73i4 


6820 


462-7 


364o 


I 9 4l 


o46o 


9254 


7280 


6568 


4ioo 


4 7 o 


i5 


7284 


6852 


456 7 


3 7 o4 


i85i 


o555 


9 i35 


7 4o 7 


64i 9 


425 9 


45 


3o 


7 254 


6884 


45o 7 


3 7 6 7 


1761 


o65i 


9 oi5 


7 534 


6a6 9 


44i8 


3o 


45 


7224 


6916 


444 7 


383o 


1671 


o 7 45 


88 9 5 


7661 


6n8 


45 7 6 


i5 


44 o 


7 i 9 3 


6 9 47 


438 7 


38 9 3 


i58o 


o84o 


8 77 4 


77 86 


5 9 6 7 


4 7 33 


46 o 


i5 


7i63 


6978 


4326 


3 9 56 


i48 9 


o 9 34 


8652 


79 12 


58i5 


48 9 o 


45 


3o 


7 i33 


7009 


4265 


4oi8 


i3 9 8 


IO2 7 


853o 


8o36 


5663 


5o45 


3o 


45 


7102 


7040 


4204 


4o8o 


i3o6 


II2O 


84o 7 


8161 


55o 9 


52OI 


:5 


45 o 


7071 


7071 


4i42 


4i42 


I2l3 


I2l3 


8284 


8284 


5355 


5355 


45 o 




Dep. 


Lat 


Dep. 


Lat. 


Dep. 


Lat 


Dep. 


Lat. | 


Dep. 


Lat 






Dist. 1. 


Dist. 2. 


Dist. 3. 


Dist 4. 


Dist. 5. 


Course. 



TRAVERSE IABLE. 



14 



Course. 


Dist. 6. 


Dist. 7. 


Dist. 8. 


Dist. 9. 


Dist. 10. 






Lat. 




Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lot. 


Dep. 




o / 






















o / 


3o i5 


5.i83o 


3.0226 


6.o468 


3.5 2 64 


6.9107 


4.0302 


7 .7745 


4.5340 


8.6384 


5.0377 


5 9 45 


3o 


1698 


o452 


o3i4 


5528 


8 9 3o 


o6o3 


7547 


56 7 8 


6i63 


o 7 54 


3o 


45 


1 564 


0678 


oi58 


5791 


8 7 53 


0903 


7 34 7 


6016 


5 9 4i 


1129 


i5 


3i o 


i43o 


9 O2 


OOO2 


6o53 


85 7 3 


1203 


7145 


6353 


5 7 i7 


i5o^ 


5 9 o 


i5 


I2 9 5 


1126 


5. 9 844 


63i4 


83 9 ? 


i5o2 


6942 


6690 


5491 


i8 77 


45 


3o 


n58 


i35o 


9 685 


6575 


8211 


1800 


6 7 38 


7 O25 


5264 


2250 


3o 


45 


1 02 1 


i5 7 3 


9 5 2 5 


6835 


8028 


20 97 


653a 


7359 


5o35 


2621 


i5 


32 


o883 


I7 9 5 


9363 


7094 


7844 


2394 


6324 


7693 


48o5 


2 99 2 


58 o 


i5 


oy44 


2017 


9201 


7 353 


7658 


2689 


6116 


8o25 


45 7 3 


336i 


45 


3o 


o6o3 


2238 


9 o3 7 


7611 


7471 


2984 


5 9 o5 


835 7 


433 9 


3 7 3o 


3o 


45 


5.o462 


3.2458 


5.88 7 3 


3.7868 


6.7283 


4.3278 


7 .56 9 4 


4.8688 


8.4io4 


5.409-7 


i5 


33 o 


0320 


2678 


8 7 o 7 


8i25 


7094 


3571 


548o 


9018 


386 7 


4464 


5 7 o 


i5 


01-77 


2898 


854o 


838i 


6903 


3863 


5266 


9 346 


362 9 


4829 


45 


3o 


oo33 


3n6 


83 7 2 


8636 


6711 


4i55 


5o5o 


9674 


3389 


5i 9 4 


3o 


45 


4.9888 


3334 


8203 


8890 


65i8 


4446 


4832 


S.oooi 


3i4 7 


555 7 


i5 


34 o 


9742 


3552 


8o33 


9144 


6323 


4?35 


46i3 


0327 


2904 


5 9 i 9 


56 o 


i5 


9 5 9 5 


3 7 68 


7861 


9 3 9 6 


6127 


5o24 


43 9 3 


o652 


2659 


6280 


45 


3o 


9448 


3 9 84 


7689 


9 648 


5 9 3o 


53i2 


4i 7 i 


977 


a4i3 


664i 


3o 


45 


9299 


4200 


7 5i5 


99 oo 


5732 


56oo 


3 9 48 


i3oo 


2i65 


7000 


i5 


35 o 


9149 


44i5 


734i 


4.oi5o 


5532 


5886 


3724 


1622 


igiS 


7 358 


55 o 


i5 


4.8998 


3.4629 


5.7i65 


4.o4oo 


6.533i 


4.6172 


7 .34 9 8 


5.1943 


8.i664 


5. 77 i5 


45 


3o 


884? 


4842 


6988 


o64 9 


5129 


6456 


3270 


2263 


1412 


8070 


3o 


45 


8694 


5o55 


6810 


o8 97 


4926 


6740 


3o42 


2582 


n5 7 


8425 


i5 


36 o 


854i 


5267 


663: 


ii45 


4721 


7023 


2812 


2901 


0902 


8779 


54 o 


i5 


838 7 


5479 


645 1 


l3 9 2 


45i6 


73o5 


258o 


32i8 


o644 


9i3i 


45 


3o 


823i 


568 9 


6270 


i638 


43o 9 


7 586 


2347 


3534 


p386 


9482 


3o 


45 


8o 7 5 


58 99 


6088 


i883 


4ioo 


7866 


2Il3 


3849 


OI25 


9 83 2 


i5 


3 7 o 


7918 


6io 9 


5904 


2I2 7 


38 9 i 


8i45 


1877 


4i63 


-7.9864 


6.0182 


53 o 


i5 


7760 


63i8 


5720 


23 7 I 


368o 


8424 


i64o 


44 7 6 


9600 


0529 


45 


3o 


7601 


65 2 6 


5535 


26i3 


3468 


8 7 oi 


1402 


4789 


9 335 


0876 


3o 


45 


4-?44i 


3.6733 


5.5348 


4.2855 


6.3 2 55 


4.8 977 


7.1162 


5.5ioo 


7^.9069 


6.1222 


i5 


38 o 


7281 


6 9 4o 


5i6i 


3o 9 6 


3o4i 


9 253 


9 2I 


54io 


8801 


1 566 


52 


i5 


7119 


7i46 


4972 


333 7 


2825 


9528 


o6 79 


5718 


8532 


1909 


45 


3o 


6g56 


7 35i 


4?83 


35 7 6 


26o 9 


9801 


0435 


6026 


8261 


225l 


3o 


45 


6 79 3 


7555 


4592 


38i5 


23 9 I 


5.oo 7 4 


oi 9 o 


6333 


79 88 


2592 


i5 


3o o 


6629 


77 5 9 


44oo 


4o52 


2172 


o346 


6. 99 43 


663 9 


77 i5 


2932 


5i o 


i5 


6464 


7 9 62 


4207 


4289 


i 9 5i 


0616 


9 6 9 5 


6 9 43 


7 43 9 


327 


45 


3o 


6297 


8i65 


4oi4 


4525 


1730 


0886 


9446 


7247 


7162 


36o8 


3o 


45 


6i3i 


8366 


3819 


4 7 6i 


i5o7 


n55 


9196 


7 55o 


6884 


3 9 44 


i5 


4o o 


5 9 63 


8567 


3623 


4995 


1284 


1423 


8 9 44 


785i 


66o4 


4279 


5o o 


i5 


4.5794 


3.8767 


5.3426 


4.5229 


6.1059 


5.1690 


6.8691 


5.8i5i 


7 .6323 


6.4612 


45 


3o 


5624 


8 9 6 7 


3228 


546 1 


o832 


1956 


8437 


845o 


6o4i 


4945 


3o 


45 


5454 


9 i66 


3o3o 


56 9 3 


o6o5 


2221 


8181 


8 7 48 


5 7 56 


5276 


i5 


4i o 


5283 


9 364 


283o 


5 9 24 


o3 77 


2485 


7924 


9045 


54 7 i 


56o6 


49 o 


i5 


5uo 


9 56i 


2629 


6i54 


0147 


2 7 48 


7666 


934i 


5i84 


5 9 35 


45 


3o 


4 9 3 7 


97 5 7 


2427 


6383 


5.9916 


3oio 


7406 


9636 


48 9 6 


6262 


3o 


45 


4763 


99 53 


2224 


6612 


9686 


3271 


7i45 


9929 


46o6 


6588 


i5 


42 


458 9 


4.oi48 


2O2O 


683 9 


, 9 45 2 


353o 


6883 


6.O222 


43i4 


6913 


48 o 


i5 


44i3 


o342 


i8i5 


7066 


9217 


3 7 8 9 


6620 


o5i3 


4022 


7237 


45 


3o 


423 7 


o535 


1609 


7291 


8982 


4o4 7 


6355 


o8o3 


3 7 28 


7 55 9 


3o 


45 


44o5 9 


4.0728 


5.i4o3 


4.75.16 


5.8746 


5.43o4 


6.6089 


6.1092 


7.3432 


6. 7 88o 


i5 


43 o 


388i 


O 9 2O 


1195 


77 4o 


85o8 


456o 


5822 


i38o 


3i35 


8200 


4 7 o 


i5 


3702 


IIII 


0986 


79)53 


8270 


48i5 


5553 


1666 


2837 


85i8 


45 


3o 


3522 


i3oi 


o 77 6 


8i85 


8o3o 


5o68 


5284 


1952 


2 53 7 


8835 


3o 


45 


3342 


i4 9 i 


o565 


84o6 


7789 


532i 


5oi3 


2236 


2236 


9 i5i 


i5 


44 o 


3i6o 


1680 


o354 


8626 


7547 


55 7 3 


474i 


2519 


i 9 34 


9 466 


46 o 


i5 


2 97 8 


1867 


oi4i 


8845 


?3o4 


5823 


446 7 


2801 


i63o 


9779 


45 


3o 


2 79 5 


2o55 


4.9928 


9064 


7 o6o 


6o 7 3 


4i93 


3o82 


i3 2 5 


7.0091 


3o 


45 


2611 


2241 


97 i3 


9281 


68i5 


632i 


3 9 i 7 


336i 


ioi 9 


o4oi 


i5 


45 o 


2426 


2426 


9497 


9497 


656 9 


656 9 


364o 


364o 


0711 


0711 


45 o 




Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 






Dist. 6. 


Dist. 7. 


Dist. 8. 


Dist. 9. 


Dist. 10. 


Course. 



142 



MERIDIONAL PARTS. 



LATITUDE. 


Min. 





1 


2 


3 


4 


5 


6 


7 


8 


9 


10 


11 


12 


Min. 


O 


o.o 


60.0 


120.0 


1 80. 


240.2 


3oo.2j 


36o. 7 


421. 1 


48i.6 


542.2 


6o3. 


664. 


?2 5.3 


O 


I 


I.O 


61.0 


21. 


81.1 


41.2 


01.; 


61.7 


22.1 


82.6 


43.3 


04. 


65. 


26.3 


I 


2 


2.O 


62.0 


22.0 


82.1 


42.2 


02.^ 


62.7 


23.1 


83.6 


44.3 


o5. 


66.1 


2 7 .4 


2 


3 


3.o 


63.o 


23.0 


83.i 


43.2 


o3.4 


63. 7 


24-1 


84-6 


45.3 


06. i 


67.1 


28.4 


3 


4 


4.0 


64-0 


24-0 


84.i 


44.2 


04.4 


64-7 


25.1 


85.6 


46.3 


O 7 .l 


68.2 


29.4 


4 


5 


5.o 


65.o 


25.0 


85.i 


45.2 


o5.4 


65. 7 


26.1 


86.6 


4 7 .3 


08.2 


69.2 


3o.5 


5 


6 


6.0 


66.0 


26.0 


86.1 


46.2 


06.; 


66.7 


27.1 


87.6 


48.3 


9 .2 


7 0.2 


3i.5 


6 


7 


7.0 


67.0 


27.0 


87.1 


47.2 


07.4 


67.7 


28.1 


88.6 


4 9 -3 


10.2 


71.1 


32.5 


7 


8 


8.0 


68.0 


28.0 


88.1 


48.2 


08.; 


68.7 


2 9 .I 


8 9 .6 


5o.3 


II. 2 


7 2.2 


33.5 


8 


9 


9.0 


69.0 


29.0 


89.1 


4 9 .2 


09.4 


69.7 


3o.i 


9-7 


5i.4 


12.2 


7 3.3 


34.5 


9 


10 


10.0 


70.0 


i3o.o 


190.1 


25O.2 


3 io.: 


370.7 


43i.i 


491.7 


552.4 


6l3.2 


6 7 4.3 


7 35.6 


10 


ii 


I I.O 


71.0 


3i.o 


91.1 


5l.2 


1 1.2 


71.7 


32.1 


92.7 


53.4 


14.2 


7 5.3 


36.6 


ii 


12 


12.0 


72.0 


32.0 


92.1 


52.2 


12.2 


72.7 


33.i 


9 3. 7 


544 


15.3 


7 6.3 


3 7 .6 


12 


i3 


i3.o 


7 3.o 


33.o 


9 3.i 


53.2 


1 3.4 


73.7 


34.2 


94-7 


55.4 


i6.3 


77.3 


38.6 


i3 


14 


14.0 


74-0 


34.o 


9 4.i 


54.2 


i44 


74.7 


35.2 


9 5. 7 


56.4 


17.3 


78.4 


3 9 .6 


i4 


i5 


i5.o 


7 5.o 


35.o 


9 5.i 


55.2 


i5.4 


7 5. 7 


36.2 


96.7 


5 7 .4 


i8.3 


79-4 


4o. 7 


i5 


16 


16.0 


76.0 


36.o 


9 6.i 


56.2 


16.4 


76.8 


3 ? .2 


97-7 


58.4 


i 9 .3 


80.4 


4i. 7 


16 


J 7 


17.0 


77.0 


3 7 .o 


97-i 


57.2 


i 7 .5 


77.8 


38.2 


98.7 


5 9 .4 


20.3 


81.4 


42. 7 


l l 


18 


18.0 


78.0 


38.o 


$8.1 


58.2 


i8.5 


78.8 


3 9 .2 


99.8 


6o.5 


21.3 


82.4 


43.7 


18 


*9 


19.0 


79.0 


3 9 .o 


99 .i 


5 9 .2 


i 9 .5 


79 .8 


4o.2 


5oo.8 


6i.5 


22.4 


83.5 


44.8 


'9 


20 


2O.O 


80.0 


i4o.o 


200. i 


260.2 


320.5 


38o.8 


44i.2 


5oi.8 


562.5 


623.4 


684.5 


745.8 


20 


21 


21.0 


81.0 


4i.o 


OI.I 


61.3 


21.5 


81.8 


42.2 


02.8 


63.5 


24.4 


85.5 


46.8 


21 


22 


22.0 


82.0 


42.0 


02.1 


62.3 


22.5 


82.8 


43.2 


o3.8 


64.5 


25.4 


86.5 


47-8 


22 


23 


23.0 


83.o 


43.o 


o3.i 


63.3 


23.5 


83.8 


44.2 


o4.8 


65.5 


26.4 


8 7 .5 


48. 9 


23 


24 


24.0 


84.o 


44-0 


04. 1 


64-3 


24-5 


84-8 


45.2 


o5.8 


66.6 


27.4 


88.6 


49-9 


24 


25 


25.0 


85.o 


45.o 


o5.i 


65.3 


25.5 


85.8 


46.3 


06.8 


6 7 .6 


28.5 


89.6 


5o. 9 


25 


26 


26.0 


86.0 


46.o 


06. i 


66.3 


26.5 


86.8 


47-3 


07.8 


68.6 


2 9 .5 


90.6 


5r. 9 


26 


27 


27.0 


87.0 


4 7 .o 


07.1 


6 7 .3 


2 7 .5 


87.8 


48.3 


08.9 


6 9 .6 


3o.5 


91.6 


53.o 


27 


28 


28.0 


88.0 


48.o 


08. i 


68.3 


28.5 


88.8 


4 9 .3 


09.9 


7 o.6 


3i.5 


92.6 


54.0 


28 


29 


29.0 


89.0 


49.0 


o 9 .i 


6 9 .3 


2 9 .5 


8 9 .8 


5o.3 


10.9 


71.6 


32.5 


93.6 


55.o 


2 9 


3o 


3o.o 


90.0 


i5o.o 


2IO.I 


270.3 


33o.5 


3 9 o.8 


45i.3 


511.9 


572.6 


633.5 


694.7 


7 56.o 


3o 


3i 


3i.o 


91.0 


5i.o 


II. I 


7 i.3 


3i.5 


91.8 


52.3 


12.9 


73.7 


34-6 


95.7 


5 7 .i 


3i 


32 


32.0 


92.0 


52.0 


12. 1 


7 2.3 


3 2 .5 


9 2. 9 


53.3 


i3. 9 


74.7 


35.6 


96.7 


58.i 


32 


33 


33.o 


93.0 


53.i 


I3.I 


7 3.3 


33.5 


9 3. 9 


54.3 


i4. 9 


7 5. 7 


36.6 


97-7 


5 9 .i 


33 


34 


34.o 


94.0 


54-1 


14.1 


7 4.3 


34-5 


9 4- 9 


55.3 


<5. 9 


76.7 


3 7 .6 


98.7 


60. i 


34 


35 


35.o 


95.0 


55.i 


i5.i 


7 5.3 


35.5 


9 5. 9 


56.3 


i6. 9 


77-7 


38.6 


99.8 


61.1 


35 


36 


36.o 


96.0 


56.i 


16.1 


7 6.3 


36.5 


9 6. 9 


5 7 .3 


18.0 


7 8. 7 


3 9 .6 


700.8 


62.2 


36 


3? 


3 7 .o 


97.0 


5 7 .i 


17.1 


77 .3 


3 7 .5 


97-9 


58.4 


I 9 .o 


79-7 


4o. 7 


01.8 


63.2 


37 


38 


38.o 


98.0 


58.i 


18.1 


7 8.3 


38.5 


9 8. 9 


5 9 .4 


20. o 


80.8 


4i-7 


02.8 


64.2 


38 


3 9 


39.0 


99.0 


59.1 


i 9 .i 


79- 3 


3 9 .6 


99-9 


60.4 


21.0 


81.8 


42. 7 


o3.8 


65.2 


39 


4o 


4o.o 


IOO.O 


1 60. i 


220.2 


280.3 


34o.6 


oo. 9 


46i.4 


522.0 


82.8 


643. 7 


04.9 


66.3 


4o 


4i 


4i.o 


01. 


61.1 


21.2 


8i.3 


4i.6 


01. 9 


62.4 


23.0 


83.8 


44. 7 


5.9 


6 7 .3 


4i 


4s 


42.0 


O2. 


62.1 


22.2 


82.3 


42.6 


02. 9 


63.4 


24.O 


84-8 


45.8 


06.9 


68.3 


42 


43 


43.o 


o3.o 


63.i 


23.2 


83.3 


43.6 


o3. 9 


64-4 


25. 


85.8 


46.8 


07.9 


6 9 .3 


43 


44 


44-0 


o4.o 


64-1 


24.2 


84.3 


44-6 


o4- 9 


65.4 


26.0 


86.8 


4 7 .8 


09.0 


70.4 


44 


45 


45.o 


o5.o 


65.i 


25.2 


85.3 


45.6 


o5. 9 


66.4 


27.1 


8 7 . 9 


48.8 


IO.O 


7i.4 


45 


46 


46.o 


06.0 


66.1 


26.2 


86.3 


46.6 


07