oninr OF
the estate of Professor William F. Meyer
TABLES OF LOGARITHMS
TO
FIVE PLACES OF DECIMALS,
WITH AUXILIARY TABLES.
EDITED BY
EDWIN S. CRAWLEY, PH.D.,
- THOMAS A. SCOTT PROFESSOR OF MATHEMATICS IN THE UNIVERSITY OF PENNSYLVANIA
E. S. CRAWLEY,
UNIVERSITY OF PENNSYLVANIA,
PHILADELPHIA,
1905.
COPYRIGHT, 1890,
BY EDWIN S. CRAWLKY.
ELECTROTVPEO AND PHINTED BY J. B. LIPPINCOTT COMPANY, PHILADELPHIA. U.S. A
EDITOR'S NOTE.
THIS collection of logarithmic tables has been prepared to accompany the editor's Elements of Trigonometry^ in response to the demand of a number of teachers using the latter, who prefer a text bound with tables. In commending the tables to the use of educational institutions and the mathematical public in general, the editor wishes to state that great care has been taken to secure accuracy. The proof has been com- pared twice, number by number, with different standard tables (Yega's seven-place Tables, the 74th edition, edited by W. L. F. Fischer; and Gauss's five-place Tables, the 20th edition), and the method of differences was applied as a further check. Besides these, other tests were applied to parts of the tables, as in the case of Table III., where the log tan column was checked by taking the difference of log sin and log cos, and the log cot column was checked by taking the arithmetical complement of log tan.
Should any errors be discovered, the editor will be glad to be informed of them.
EDWIN S. CKAWLEY.
UNIVERSITY OF PENNSYLVANIA, January, 1899.
C8
M577188
TABLE OF CONTENTS.
EXPLANATION or THE TABLES vii
TABLE I. — Logarithms of Numbers 1
" II.— Important Constants and their Logarithms 20
" III.— Logarithms of the Sine, Cosine, Tangent, Cotangent
for every Minute of the Quadrant 21
" IV.— Table for Computing the Log Sin and Log Tan of
Small Angles 67
" V. — Natural Sines, Cosines, Tangents, and Cotangents . . 69
" VI. — Circular Arcs, expressed in Kadians 74
*• VII. — Napierian Logarithms of Numbers 75
EXPLANATION OF THE TABLES.
1. Definitions and Rules. If three numbers n, a, x have such values that the equation
n = a* (1)
is true, then x is called the logarithm of n to the base a. If, without changing a, we give to n and x all possible values, con- sistent with this equation, the values of x thus obtained form a system of logarithms to the base a.
Hence : — The logarithm of a number to a given base is the ex- ponent of the power to which the base must be raised to produce the number.
Suppose 9 is taken for the base, then
log 81 = 2, because 92 = 81 11 729= 3, " 93 =729 « i = -l, -" 9~!= i " 3= i, « 9* = 3 " 9= 1, " 91 = 9 " 1= 0, " 9° = 1
In every system the logarithm of the base is 1, and the logarithm of 1 is 0. This follows directly from the definition, or from (1) ; for if n = a, x must be 1 ; and if n = 1, x must be 0, without respect to the value of a.
It is plain, since any number will serve as the base of a system of logarithms, that the number of such systems is indefinite.
vii
Vlll EXPLANATION OF THE TABLES.
The systems of logarithms commonly used are :
(1.) The common or Briggian* system, with the base 10.
(2.) The natural or Napierianf system with the base
6 = 2.7182818285 ____ defined by the convergent infinite series
e=1 + 1 + r2 + ii3+i^-4 + ---
Of these two systems, the first is used for all purposes of numerical computation, and the second for purely analytical purposes.
The logarithms of these tables (except in Table VII.) are common or Briggian logarithms.
The corresponding logarithms of any two systems are in a constant ratio to each other. Thus the relation between com- mon and Napierian logarithms is
(This equation is read : " Logarithm of n to the base 10 equals the reciprocal of the logarithm of 10 to the base e, multiplied
bv the logarithm of n to the base e.") The factor - is
log . 10
called the modulus of the common system. It is represented by M, and its value to ten places is 0.4342944819.
The rules governing the use of logarithms in computation are the following : —
I. To multiply numbers, find the logarithm of each factor, and add them ; the sum is the logarithm of the product.
II. To divide one number by another, subtract the logarithm of the divisor from the logarithm of the dividend ; the difference is the logarithm of the quotient.
III. To raise a number to any power multiply the logarithm of the number by the exponent of the power ; the product is the log- arithm of the required power of the number.
* Named for Henry Briggs (1666-1631), who first suggested the use of the base 10.
f Named for John Napier, Baron of Merchiston, in Scotland (1560- 1617), the inventor of logarithms.
EXPLANATION OF THE TABLES. IX
IY. To extract any root of a number, divide the logarithm of the number by the index of the root ; the quotient is the logarithm of the required root of the number.
These statements and rules .are given without proof, as the purpose here is simply to familiarize the student with the mechanism and use of the tables. The theory of logarithms is set forth in text-books on algebra, to which the student is referred. In the same place will be found an explanation of how logarithms are computed.
TABLE I. Common Logarithms of Numbers. (Pages 1-19)
2. Characteristic and Mantissa. A logarithm consists, usually, of two parts : a whole number, called the characteristic, and an incommensurable decimal fraction, called the mantissa. The table gives only the mantissa ; the characteristic, which may be positive, negative, or zero, must be supplied in every case by the computer. The mantissa is always positive, ex- cept in the logarithms of exact powers of 10, when it is zero.
Since 10 is the base we have :
log 100Q = 3, because 103 = 1000
log 100= 2, " 102 = 100
log 10= If " 10l = 10
log 1= 0, " 10° = 1
log a = — 1, " 10 ~l = .1
log .01=— 2, " 10-2= .01
log .001 = —3, " 10 ~3 = .001
(a)
This series of equations can be extended indefinitely in both directions.
Let us now consider two numbers which contain the same sequence of figures, with different positions of the decimal point, say 72.936 and .72936. Now 72.936 = 100 X .72936. Hence, by Eule I, § 1 log 72.936 = log 100 -f log .72936,
or, by (a) = 2 + log .72936.
Hence, since any change in the position of the decimal
X EXPLANATION OF THE TABLES.
point in a number is equivalent to multiplication or division by a power of 10, the effect produced upon the logarithm of the number by a change of this kind is to increase it or diminish it by a whole number ; that is, the characteristic is affected by such a change, but not the mantissa. We have, therefore, the following important fact :
I. The mantissa of the logarithm of a number depends only upon the sequence of figures in the number.
Referring again to (a), we note that for all numbers greater than 1 and less than 10 (all numbers with one significant figure before the decimal point) the logarithm is greater than 0 and less than 1, that is, its characteristic is 0 ; for all num- bers greater than 10 and less than 100 (all numbers with two significant figures before the decimal point) the logarithm is greater than 1 and less than 2, that is, its characteristic is 1 ; for all numbers greater than 100 and less than 1000 (all -num- bers with three significant figures before the decimal point) the logarithm is greater than 2 and less than 3, that is, its characteristic is 2; and so on. Hence, we have the following rule:
II. The characteristic of the logarithm of a number greater than unity is one less than the number of significant figures preceding the decimal point.
Again, from (#) it will be seen that if a number is greater than .1 and less than 1, its logarithm is between 0 and — 1 ; that is, using a positive mantissa, which we always do, it is — 1 -f the mantissa, hence the characteristic is — 1 ; if the number is greater than .01 and less than .1, the logarithm is between — 1 and — 2, which is written — 2 -f- the mantissa, that is, the characteristic is — 2 ; if the number is greater than .001 and less than .01, the logarithm is between — 2 and — 3, which is written — 3 -f- the mantissa, that is, the characteristic is — 3, and so on. Hence, we have the following rule :
III. The characteristic of the logarithm of a number less than unity is negative, and is numerically one greater than the number of ciphers between the decimal point and the first significant figure.
EXPLANATION OF THE TABLES. XI
Verify the following statements :
characteristic of log 763.92 = 2
" " log 1.9841— 0
*' "log .07296 = — 2
" " log 26 = 1
" " log 400000= 5
" " log .9426 = —!
" " log 3869= 3
" " log .00042 = — 4
" " log .005 = — 3 '
" " log 62893= 4
3. To Find the Logarithm of a Number of Four Figures or Less.
If the number has less than four figures add ciphers on the right until it has four figures, and then proceed in the manner described below.
If the number has four figures, enter the table in the left hand column of the page, the column marked N, with the first three figures (the first three significant figures if the number is a decimal fraction) and with the fourth figure in the line running across the page at the extreme top or bottom. Go across the page, in the line containing the first three figures, until the column marked by the fourth figure is reached. The three figures found at this point are the last three figures of the mantissa. The first two figures of the mantissa are printed only in the first column of the body of the table, and if they are not found in the same line with the last three figures they will be found a few lines above.
Suppose the number is 48.65. We find 486 in the N column on page 9 ; and the column marked 5 at the top and bottom is the one to the right of the heavy line down the middle of the page. The three figures in this column and on the same line with 486 are 708, which are the last three figures of the mantissa; the first two figures are 68. Hence, mantissa of log 48.65 is .68708. By II. § 2 characteristic of log 48.65 is 1. Hence, log 48.65 = 1.68708.
Find log 6.2. Annexing two ciphers, this becomes 6.200.
Xll EXPLANATION OF THE TABLES.
Proceeding then as above, we find that the mantissa is 79239. Hence, log 6.2 = 0.79239.
Find log 431. Annexing one cipher this becomes 431.0. Hence, the mantissa is 63448; and log 431. = 2.63448.
An important exception in one point of the usual procedure is exemplified below. Find log .07416. Entering the table on page 14, line 741, we find in the column marked 6, the figures *017. The asterisk is inserted to indicate that the first two figures of the mantissa are to be taken from the line below, instead of from above. Hence, the mantissa of log .07416 is .87017 ; and by III. § 2 log .07416 = 2.87017. The negative sign is written over the characteristic, instead of before it, as it applies to the characteristic only, the mantissa being positive.
The reason for placing this asterisk in the table is easily seen. The last logarithm that begins with 86 is 86999. The next one in order is 87005, but as this comes in the middle of the page there is not room to print 87 in the same column with 005, so the asterisk is inserted to call the computer's attention to this fact and bid him take the first two figures from below.
Verify the following statements :
log 863.2 =2.93611 log 3 =0.47712
log 1.29 =0.11059 log 2758 =3.44059
log 18000 =4.25527 log 64.58 =1.81010
log .92 =1.96379 log .00006 = 5.77815
log .04312 = 2.63468 log .00183 = 3.26245
It is proper at this point to explain that in practical com- putation negative characteristics are very rarely used. Their use is avoided by adding 10 to the characteristic and writing — 10 after the logarithm. In this way the true value of the logarithm is not changed. With this modification the four logarithms above with negative characteristics become
log .92 =9.96379 — 10 log .00006 = 5.77815 — 10
log .04312 = 8.63468 — 10 log .00183 = 7.26245 — 10
This method will be used exclusively in the examples which follow. After a little practice the — lO's written after the log- arithm may be omitted without danger of error in the final
EXPLANATION OF THE TABLES.
result. Eule III. § 2 can be changed, therefore, to the fol- lowing:
The characteristic of the logarithm of a number less than unity is formed by subtracting from 9 the number of ciphers between the decimal point and the first significant figure, and writing — 10 after the logarithm.
Verify the following statements :
log .3628 = 9.55967 — 10 log .0026 = 7.41497 — 10
log .0796 = 8.90091 — 10 log .007 =7.84510 — 10
4. To Find the Number to Four Figures which Corresponds to a Given Logarithm.
The method is best explained by an example. Given log x = 1.79683, to find x. Disregarding the characteristic for the moment, we enter the table with the first two figures of the mantissa, 79, looking for them in the column headed with 0. We find them on page 12. We then look in that part of the body of the table which contains the logarithms beginning with 79, for the number nearest to 683 ; we find 685.
The logarithm in the table nearest to our given logarithm is now located. The first three figures of the corresponding number are taken from the column JV, on the same line with 685. They are 626. The fourth figure of the number is that which stands at the top of the column containing 685. It is 4. Hence, the number is 6264. To insert the decimal point we note that the characteristic of the given logarithm is 1 ; hence, we must have two figures before the decimal point. We have, therefore, x = 62.64.
Given log x = 7.14168 — 10 find x. The nearest logarithm in the table is .14176, on page 2 (notice the asterisk). The corresponding number is 1386. The real value of the charac- teristic is 7 — 10 = — 3. Hence by III. § 2 there must be two ciphers between the decimal point and the first significant figure. We can also obtain the number of ciphers by sub- tracting the augmented characteristic 7, from 9, according to the rule above. The result is, therefore, x = .001386.
XIV . EXPLANATION OF THE TABLES.
Verify the following statements :
log x = 1.73682, x = 54.55 log x = 9.74464 — 10, x = .5554
log x = 5.41621, x = 260700 log x = 4.48493, x = 30540
log x = 8.91929 — 10, x = .08304 log x = 3.14139, x = 1385
log x = 2.43625, x = 273.1 log x = 7.79012 — 10, x = .006168
log x = .64443, x = 4.41 log x = 6.56822 — 10, x = .00037
5. Exercises and Examples.
1. Compute the value of (1.789)5.
By III. § 1, we have log (1.789)6 = 5 X log 1.789. log 1.789 = .25261
5
log (1.789)5 = 1.26305 .-. (1.789)* = 18.33
2. Compute the value of 728 X 63.86 X -4792
log 728= 2.86213 log 63.86= 1.80523 log .4792 = 9.68052 — 10
by I. § 1, log (728 X 63.86 X -4792) = j 14-34788 - 10
>• or 4.34/88. Hence 728 X 63.86 X -4792 = 22280.
3. Compute the value of V 73.
log 73 = 1.86332.
By IV. \ 1, log ^]T¥= * log 73 = .62111,
^'73= 4.179
In dividing log 73 by 3, the division is not exact. Such cases arise with great frequency in logarithmic work ; and the student must carefully observe the two following rules :
(1.) Never carry the work beyond the number of decimal places given in the table, that is with this table, five places.
(2.) When the division is not exact, always take in the last place the figure that is nearest to the true result.
Thus, in the case just above, where we divide 1.86332 by 3, the last step of the division is 2 divided by 3. Now 3 goes into 2 more nearly once than no times ; hence, we take 1 for the last figure. Sometimes, when the divisor is an even number, the result falls just half way between two integers in the last place. We then take at pleasure either the larger or smaller of these two figures for the last figure. The following example illustrates this :
4. Find 1/471L log 4711 = 3.67311,
.-. log V/4711 J log 4711 = 1.83655 or 1.83656.
Both of these logarithms give 68.64 as the result to four figures.
EXPLANATION OF THE TABLES. XV
5. Find y/.06398.
log .06398 = 8.80604 — 10.
We cannot divide this logarithm by 7 without getting an awk- ward result. But if we add and subtract 60, we have
log .06398 = 68.80604 — 70,
where the number subtracted from the logarithm is now ten times the number by which we must divide ; and hence, after the divi- sion, it will be reduced to 10. This is the best practice for such cases. Performing the division, we have
log >/.06398 = 9.82943 — 10, .'. 1/.06398 = .6752.
log l/"27" = £log27 =* X 1.43136= .71568 log (9.261)? = f log 9.261 = f X 0.96666 = .41428 BylLgl logz = .30140
x = 2.002.
7. x= 68.96X^^228 ^
39 X (8.642)* X (.96)2
log 68.96= 1.83860
log f .4228 = I log (.4228) = £ X 29.62613 — 30 = 9.87538 — 10 log of numerator = 11.71398 — 10
log 39 = 1.59106
log (8.642)* = f log 8.642 = f X 0.93661 = 1.56102 log (.96)2 = 2 log (.96) = 2 X 9.98227 — 10 = 19.96454 — 20
f 23.11662-20 log of denominator = { QJ. Q U662
log x = log of numerator — log of denominator = 8.59736 — 10. Hence x = .03957.
In order to explain clearly each step in working this example, the amount of written work set down is much greater than is allowable in ordinary practice. The work for the same example is arranged below in more concise form, and at the same time the — 10's are omitted from the logarithms with negative character- istics.
log 39 = 1.59106 log 68.96 = 1.83860
log (8.642) * =1.56102 log ^.4228 =9.87538
log (.96)2 = 9.96454 log of num. = 1.71398
log of denom. = 3.11662 3.11662
x= .03957 log a; = 8.59736
XVI EXPLANATION OF THE TABLES.
EXAMPLES.
Find the values of the following numerical expressions, and give the results to four significant figures :
1. 839.6 X /6129. Ans. 65730 5 21 . 38 X 6.296 X. 412. Ans. .2292
7 X ^ 41290
2. 19.63X^6^2. ^n, 173.4 4.19X6.2X^^67
(3.339)s X 142.9
7 298.7 X 563 X/TT Am. 7266
(2.96)*
. ft (9.8)3X^.4621X18.
F 12 X Vl7 1/41.63 X (2.649)5
6. The Arithmetical Complement of the Logarithm
or Co-logarithm. To compute the value of - by log-
b
arithms, we may take either log a — log b, or log a -f- log-.
b
Log - = log 1 — log b = 0 — log b is called the co-logarithm of b
b. We have, therefore, the following rule :
To form the co-logarithm of a given number subtract the log- arithm of the number from 0.
It is customary in practice to subtract the logarithm from 10 instead of from 0, and then to write — 10 after the result ; that is, the logarithm is subtracted from 0, written in the form 10.00000 — 10. If the logarithm is one which has been itself augmented by 10, the two — 10's, that in the subtrahend and that in the minuend, cancel each other.
Ex. Find colog 729.6. Log 728.6 = 2.86308. Subtracting this from 10.00000 — 10, the result is colog 729.6 = 7.13692 — 10.
Ex. Find colog .0641. Log .0641 = 8.80686 — 10. Subtracting this from 10.00000— 10, the result is colog .0641 = 1.19314.
Verify the following statements :
colog 9986 = 6.00061, colog 3.9 = 9.40894,
colog 7.298 = 9.130SI ), colog 380.6 = 7.41953,
colog .4682 = .32957, colog .005 == 2.30103.
EXPLANATION OF THE TABLES. XV11
With a little practice the student can write down the colog directly from the table, as readily as the log itself. The prac- tical rule is to subtract each figure of the logarithm, beginning at the left, from 9, except the last or right-hand figure, which must be subtracted from 10. When the characteristic of the logarithm is 0, care must be taken not to forget to subtract this from 9, just as any other characteristic would be sub- tracted.
The practical advantage of using cologs consists in the fact that thereby the number of separate operations required to obtain the log of the result is reduced. For example, suppose
we wish to calculate log —^ — ^-^. Without using co = logs three operations are required :
(1.) to find log a + log 6 -4- log c, (2.) « logd + loge + log/, (3.) to subtract (2) from (1).
If, on the other hand, cologs are used, these three opera- tions are reduced to one, viz. : to find log a -4- log b -\- log c -f- colog d -f- colog e -f colog /.
Ex. By using cologs the work of Ex. 7, p. xv., may be arranged in the following concise form :
log 68.96 = 1.83860 log 1^.4228 = 9.87538 colog 39 =8.40894 colog (8.642)1 =8.43898 colog (.96)2 == 0.03546 logo; =8.59736
7. To Find the Logarithm of a Number which Consists of Five Figures.
This is accomplished by the aid of the operation known as interpolation. Let the given number be 31.687. The table gives log 31.68 = 1.50079 and log 31.69 = 1.50092. To find log 31,687 a small correction must either be added to log 31.68 or subtracted from log 31.69.
The whole difference between two consecutive logarithms in
XV111 EXPLANATION OF THE TABLES.
the table is called the tabular difference. In this case the tabular difference is 13. That is, the logarithm increases by 13 for a change of unity in the fourth place in the number. Hence, for 7 in the fifth place the proportional change in the logarithm will be seven-tenths of 13, or 9.1, the nearest integer to which is 9 ; hence, 9 is the correction to be added to log 31.68 to obtain 31.687. Therefore,
log 31.687 = 1.50079 + .00009 = 1.50088
This method of determining the correction for the fifth figure is not theoretically correct, for it assumes that log- arithms vary proportionally with the corresponding numbers; but while this is not true, it is applied here for such a small interval that no appreciable error arises from its use.
The work of computing corrections for the fifth figure is performed in the little auxiliary tables in the column headed Prop. Pts. (Proportional Parts). On the same page with log 31.68 we find one of these tables headed by the tabular differ- ence 13. In this table we look in the column to the left of the vertical line for the fifth figure, 7, of the given number. The corresponding number to the right of the vertical line, which is 9.1, is the required correction, the nearest integer to which must be added to the logarithm corresponding to the first four figures of the given number.
The student should accustom himself to apply the correc- tion for the fifth figure mentally, and to write nothing on the paper except the corrected logarithm.
Verify the following statements :
log 414.23 = 2.61724, log 69.426 = 1.84152,
log 3.8642 = 0.58706, log 1418.1 = 3.15171 ,
log .43007 = 9.63354, log 85672. = 4.93284.
8. To Find the Number to Five Figures Corres- ponding to any Logarithm.
Let logo; = 2.38647. Look in the table for the nearest man- tissa that is less than 38647, not for that which is absolutely
EXPLANATION OF THE TABLES. XIX
nearest, as when only four figures are required. This is found to be 38632, which corresponds to the natural number 2434. These are the first four figures of x. Next find the tabular difference, which is 18. Then subtract the mantissa taken from the table (38632) from the mantissa of the given log- arithm (38647); the difference is 15. Hence, we have the problem: If a difference of 18 in the mantissse makes a change of a unit in the fourth figure of the number, what change will be made by a difference of 15 in the mantissse ? Evidently we have the proportion
18 : 1 = 15 : difference required or difference = i-f = | = .8 ;
that is, the correction is .8 of a unit in the fourth place, or 8 units in the fifth place. Hence, the figures in the number x are 24348, and inserting the point after the 3, because the characteristic is 2, we have x = 243.48.
The work of determining the fifth figure is performed in the marginal tables of Prop. Pts. Find the one correspond- ing to the tabular difference IS^and look on the right of the vertical column for the number nearest to 15, the difference between the given log and the next smaller one in the table. We find 14.4 and the corresponding number on the left of the vertical line, which is 8, is the required fifth figure.
Verify the following statements :
log x = 3.28642, x = 1933.8 log x = 7.63419 — 10, x = .0043072
log x = 1.46010, x = 28.847 log x = 2.31419, x = 206.15
log x = 9.38642 — 10, x = .24346 log x = .76787, x = 5.8596
9. Exercises and Examples.
_ (36.842)* X. (1.6272)' X &_ - ~ 1/.062416 X 72.983 X ^189*
log (36.842)4 = 1.56634 X*= -52211 log (1.6272)2 = .21144 X 2 = .42288
log 87 =1.93952
colog V .062416 = 1.20471 -s- 2 = .60235
colog 72.983 — 8.13678
colog ^189 = 7.72354 -=- 3 = 9.24118
x = 7.3252 log*= .86482
XX EXPLANATION OF THE TABLES.
EXAMPLES.
In working these examples use cologs wherever necessary, and arrange the work as on preceding page.
67.284 X .10003 L f 74^99X6.7843' ^..10953
63.842 X (42.32)* X(.02478)3- 1/2
(7.2S43)8 X 1^.00067894 3" (620.01)* X 489.62 ^m. 306.49
1986.1 X ff 92.836
3.403.75
5.
a
V 1000000 7. 1/IO~X ^100 X HOW! ^m. 82.542
10. Numbers with Six Figures. As a general rule, we cannot work to six figures in natural numbers with a table of five-place logarithms, for when the correction for the sixth figure is applied it will usually be too small to make any difference in the logarithm. On the first page or two of the table, however, where the logarithms vary rapidly, it can be done with approximate accuracy.
The correction for the sixth figure is always one-tenth of the correction for the same figure in the fifth place.
Ex. To find log 13.9647.
log 13.96 = 1.14489 correction for fifth figure = 12.4
" " sixth " = 2.17
total correction = 14.57, nearest integer = _ 15
log 13 9647 =1.14504
EXPLANATION OF THE TABLES. XXi
Ex. Find a, given log x — 2.21647,
nearest log in table = .21643, corresponding to 1646
difference 4
nearest smaller prop.1
pt. under tab. diff. 26 / = ^ J corresponding to 1
difference remaining ~IA * for the fafth ^
1.4 X 10 (because sixth figure is required) = 14, corresponding to 5 for the sixth figure. Hence, x = 164.615.
Verify the following:
log 1219.35 = 3.08613. log x = 3.12964, x = 1347.84.
log 10.7642 = 1.03198. log x = 0.06432, x = 1.15963.
TABLE II. Constants and Their Logarithms. (Page #0.)
11. No description of this table is necessary. The loga- rithms are given to seven places, instead of five, in case a greater degree of accuracy should be required. If only the first five places are used, the fifth figure must be increased by 1, if the sixth figure is 5, or more.
TABLE III. Logarithmic Sines, Cosines, Tangents and Cotangents. (Pages 21-66.)
12. The logarithms of the trigonometric functions are used in computation much more frequently than the functions them- selves, which are called natural functions. For this reason this table is given more prominence than that of the natural func- tions. The table gives the logarithms of the functions for each minute from 0° to 90°. The functions of angles not expressed evenly in minutes can be found by interpolation, as explained below.
Since sec and esc are the reciprocals of cos and sin respec- tively, their logs can always be found by taking the cologs of the latter.
The sin and cos of all angles and the tan of angles less than 45° are less than unity ; hence, their logarithms have negative characteristics. For this reason the characteristics of all these logarithms are increased by 10 in the tables.
XXU EXPLANATION OF THE TABLES.
13. To Find the Logarithmic Function of an Angle Less than 90°.
Enter the table with the given number of degrees, which will be found at the top of the page, if it is 44° or less, but at the bottom of the page, if it is greater than 44°. The func- tion required is read at the top or bottom of the page, accord- ing as the number of degrees is at the top or bottom, and the required logarithm is taken from the corresponding column. The minutes are read in the left hand column of the page, if the degrees are read at the top, but in the extreme right hand column of the body of the table if the degrees are read at the bottom.
EXERCISES.
1. Find log sin 24° 38'. 24° is at the top of page 46, and the log sin column for 24° is the first column of logarithms on the page. Running dow.n the page until we corne to 38', we find log-sin 24° 38' = 9.61994.
2. Find log tan 57° 16'. 57° is at the bottom of page 54. Run- ning up the page in the column marked at the bottom log tan, until we come to the line with 16' on the right, we find log tan 57° IV = 0.19192.
Verify the following statements:
log sin 39° 16' = 9.80136, log cos 8° 19' = 9.99541,
log tan 63° 24' = 0.30037, log cot 54° 9' = 9.85887,
log cos 41° 31' = 9.87434, log tan 82° 56' = 0.90670,
log cot 26° 12' = 0.30798, log cot 7° = 0.91086,
log cos 31° = 9.93307, log sin 19° 12' = 9.51702.
14. Interpolating for Seconds.
Find the logarithmic functions for the degrees and minutes as before; then apply a correction for the seconds, as explained below. This correction must be added if the function is sin or tan, and subtracted if the function is cos or cot.
Find log sin 16° 28' 35".
log sin 16° 28' = 9.45249, and the tabular difference is 43 ; that is, the log sin increases by 43, while the angle increases by 1'. Hence, the proportional increase for 1" is f $ , and for 35" it is U X 35 = JVVL = 25.08 . . . , the nearest integer to which is the required correction. Hence,
log sin 16° 28' 35" = 9.45249 + .00025 = 9.45274.
EXPLANATION OF THE TABLES. XX111
The auxiliary table of proportional parts for tabular differ- ence 43 will give the same result. The column to the left of the vertical line in these auxiliary tables gives the number of seconds, arranged in the order 6, 7, 8, 9, 10, 20, 30, 40, 50. If the correction for 1, 2> 3, 4, or 5 seconds is required it is obtained by taking one-tenth of that for 10, 20, 30, 40, or 50 respectively. The work can be arranged concisely as follows, but it is desirable in actual practice to compute the correction mentally and to write only the complete logarithm :
log sin 16° 28' = 9.45249 correction for 30" = 21.5 " " 5" = 3.58
log sin 16° 28' 35" = 9.45274
Find log cot 61° 13' 19". log cot 61° 13' = 9.73987
correction for 10" (tab. diff. 30) = 5.0
u u g// « « __ 45
nearest integer to total correction = 10.0
Subtract correction because function is cot, 10
log cot 61° 13' 19" = 9.73977
On pages 22 to 27 of the table, on account of the large number of differences which occur, owing to the rapid varia- tion of the logarithms, different arrangements of the tables of Prop. Pts. are made. If the logarithm required falls on pages 25 to 27, and it happens that the tabular difference is one for which a table of proportional parts is given, the pro- cedure is the same as above; otherwise as follows:
Find log tan 3° 51' 26"
log tan 3° 51' = 8.82799, tab. diff. = 188.
This tabular difference is not given, so we use the auxiliary tables for 185 and 3 (because 185 -f 3 = 188) instead.
tab. diff. 185 ( Correction for 20" = 61.7 " 6" = 18.5
tab. diff. 3 { ' »?" 1-0
I " " 6"= 0.3
81.5 Hence, the total correction to be added is 82 and log tan 3°
61' 26" = 8.82881.
XXIV EXPLANATION OF THE TABLES.
In a case of this kind it is, perhaps, just as easy to compute the correction without using the auxiliary tables.
On pages 22 to 24 the Prop. Pt. is given for one second for each tabular difference for log sin, log tan, and log cot. Log cos varies so slowly in this part of the table that no auxiliary tables are necessary. Find log sin 1° 48' 53".
log sin 1° 48' = 8.49708, tab. diff. = 400 Prop. pt. for 1" (tab. diff. 400) = 6.67 " " 53" = 6.67X53 =353.51 . \ correction to be added = 354. and log sin 1° 48' 53" = 8.49708 + .00354 = 8.50062 On account of the very rapid variation in the log sin and log tan at the beginning of the table, the theory that the varia- tion of the log is proportional to that of the angle, leads to results which are sometimes appreciably in error. For this reason, when great precision is required, Table IV., pp. 67, 68, should be used in finding the log sin and log tan of angles less than 4°. An explanation of this table is given below, § 19. Yerify the following statements :
log cos 17° 38' 42" = 9. 97907, log tan 5° 38' 5" = 8.99416,
log tan 84° 9' 13" = 0.98972, ^log sin 1° 12' 38" = 8.32482, log sin 61° 41' 31" = 9.94469, log cos 26° 28' 37" = 9.95188,
log cos 87° 6' 14" = 8.70351, log cot 9° 1' 43" = 0.79889,
log cot 86° 53' 34" = 8.73467, log sin 45° 43' 28" = 9.85491.
15. To Find the Logarithmic Function of an Angle >90°.
According to the theorems demonstrated in Elements of Trigonometry §§ 28-31, and the rules on page 40, summariz- ing the results, the functions of any angle can be found if those of all angles less than 90° are known. These results are given here in the form of the following rules:
I. To find the function of an angle between 90° and 180° sub- tract the angle from 180° and look for the same function of the difference, or subtract 90° from the angle and look for the co-function of the difference.
II. To find a function of an angle between 180° and 270° sub- tract the angle from 270° and look for the co-function of the differ-
EXPLANATION OF THE TABLES. XXV
ence, or subtract 180° from the angle and look for the same function of the difference.
III. To find a function of an angle between 270° and 360° sub- tract the angle from 360° and look for the same function of the differ- ence, or subtract 270° from the angle and look for the co-function of the difference.
The second alternative in each of these rules is better if the angle has minutes and seconds, for there is less danger of making a mistake in taking the difference.
EXERCISES.
1. Find log cos 117° 19' 35".
By rule I. log cos 117° 19' 35" = log (—sin 27° 19' 35").
NOTE.— In taking the logarithm of a negative quantity we pro- ceed as if the quantity were positive. To the logarithm when found, we prefix the symbol (— ) or annex the symbol n. Neither of these signs affect the operations to which the logarithm may be subjected, but are used merely to remind the computer that the corresponding numbers are negative.
log sin 27° 19' 35" = 9.66187, log cos 117° 19' 35" = (— ) 9.66187.
2. Find log tan 242° 20' 17".
By rule II. log tan 242° 20' 17" = log tan 62° 20' 17" = 0.28054.
Verify the following statements :
log sin 300° 24' = (— ) 9.93577 log cot 200° 30' 30" = 0.42707 log cos 216° 14' 33" = (— ) 9.90662 log sin 138° 48' 6" = 9.81867 log tan 101° 6' 52" = (— ) 0.70674 log cos 342° 38' 15" = 9.97975
16. To Find an Angle Given one of its Logarith- mic Functions.
A further glance at the general constitution of the table is first necessary. Upon each page of the table are four columns of logarithms, the first and fourth are logarithmic sines and cosines, the second and third are logarithmic tangents and cotangents. The logarithms increase, going toward the back of the table in the first and second columns, and then passing into the fourth and third columns respectively, they increase, going toward the front of the table. Eemembering this, the place of any given logarithm in the table can be found readily.
XXVI EXPLANATION OF THE TABLES.
The rules for finding an angle from its logarithmic function are as follows:
If the given function is log sin or log cos look for the nearest smaller logarithm in the first or fourth column ; if it is log tan or log cot, look in the second or third column.
Read the degrees at the top or bottom of the page, according as the name of the given function is at the top or bottom of the column in which the given logarithm is located.
Head the minutes on the left or right according as the degrees are read at the top or bottom of the page, and in the same line with the nearest logarithm smaller than the given one.
Determine the number of seconds by proportion and add them to the degrees and minutes found, if the given function is log sin or log tan, but subtract them if it is log cos or log cot.
EXERCISES.
1. Given log sin 6 = 9.86592, what is 6?
In the fourth column on p. 64 we find 9.86589, and log sin is read at the bottom. Hence, the degrees and minutes are 47° 15'. The tabular difference is 11 and the difference between the given log and log sin 47° 15' is 3. Hence, 0 exceeds 47° 15' by T3T of one minute. This fraction reduced to seconds is T3T X 60 — 16". Hence, 0 = 47° 15' 16".
To use the auxiliary table to find the number of seconds, we arrange the work as follows, using table for tabular difference 11. whole difference = 3
nearest smaller prop. pt. = 1.8, corresponding to 10" difference remaining = 1.2 " " 6"
whole number of seconds 16"
NOTE. — The number of seconds corresponding to 1.2 under tabular difference 11 is, according to the table, either 6" or 1" ; but 6" is really a little nearer than 7", as we found above.
2. Given log cot 0 = 0.72654, find 0.
On p. 32, in the third column, we find 0.72643, and log cot is
read at the top ; hence, the degrees and minutes are 10° 38'. The
tabular difference is 70, and the difference between log cot 6 and
0.72643 is 11. Hence, using table of proportional parts, we have
whole difference =11
nearest smaller prop. pt. = 10.5, corresponding to 9" difference remaining = .6,
EXPLANATION OF THE TABLES. XXV11
as this is less than half the prop. pt. for 1" (1.17), the entire correc- tion is 9", which is subtracted from 10° 38', giving 0 = 10° 37' 51".
3. Given log tan 6 = 8.61246, find 6. On page 24, log tan 2° 20' = 8.61009.
difference = 237, tab. diff. = 310, prop. pt. for 1" = 5.17,
no. of seconds = ^- = 46". .-.0 = 2° 20' 46". 5.17
In these three exercises the results are incomplete, because we know from Trigonometry that there are always two angles less than 360° corresponding to any given trigonometric function. The complete answers are as follows : 1. 6 = 47° 15' 16" and 180°— 47° 15' 16" = 132° 44' 44", because sin 6 is positive in the first and second quadrants. 2. 6 = 10° 37' 51" and 180° -f 10° 37' 51" = 190° 37' 51". 3. 6 = 2° 20' 46" and 180° + 2° 20' 46" = 182° 20' 46", be- cause tan 0 and cot 6 are positive in the first and third quadrants.
4. Given log cos 6 = (— ) 9.62983, find 0.
Assume that cos 6 is positive and find the angle corresponding to it in the first quadrant. We find on p. 47 log cos 64° 46' = 9.62972. whole difference = 11
nearest smaller prop. pt. = 9.0, corresponding to 20" difference remaining = 2.0 " " 4"
number of seconds to be subtracted, 24"
Hence, log cos 64° 45' 36" = 9.62983. Since the cos is negative in the second and third quadrants,
we have d - / 180° ~ 64° 45/ 36// = 115° 14/ 24//
\ 180° + 64° 45' 36" = 244° 45' 36".
When one or both values of the required angle are not in the first quadrant, the following rules are to be followed :
To find an angle in the second quadrant, subtract the angle taken from the table from 180°.
To find an angle in the third quadrant, add the angle taken from, the table to 180°.
To find an angle in the fourth quadrant, subtract the angle taken from the table from 360°.
Verify the following statements :
log sin 0= 9.28642, 0= 11° 9' 1" and 168° 50' 59". log cos 0= 8.46321, 0= 88° 20' 6" " 271° 39' 54". log tan 0= 0.12983, 0= 53° 26' 22" " 233° 26' 22". log cot 0= 9.62412, 0 ±= 67° 10' 36" " 247° 10' 36". log sin 0 = (— ) 9.96419, 0 = 247° 3' 0" " 292° 57' 0". log cos 0 = (— ) 9.78416, 0 = 127° 28' 15" " 232° 31' 45". log tan 0=(— ) 9.42317, 0 = 165° 9' 36" " 345° 9' 36". log cot 0 = (— ) 8.76432, 0 = 93° 19' 35" " 273° 19' 35".
XXV111 EXPLANATION OF THE TABLES.
17. Functions of Negative Angles. To find the log- arithmic functions of negative angles, follow the formulae given in § 31, Elements of Trigonometry.
18. General Remarks. In using a five-place table of logarithmic functions the computer should remember that the seconds in his results will be, in general, only approximately correct. Nevertheless, angles can be determined in most parts of the table more closely than to tenths of a minute ; so that it seems preferable to give tables of proportional parts for seconds, rather than for tenths of a minute.
Attention is here called to the fact that throughout all the tables a final five is sometimes marked with a small dash over it, thus 5, and sometimes it is not so marked. This mark is used to indicate that if, for any reason, the computer wishes to use a smaller number of decimal places than are gwen in the table, the 5 is to be dropped without increasing the pre- ceding figure by unity. If the 5 is not marked in this way the preceding figure must be increased by unity if the 5 is dropped.
The student may vary somewhat the procedure in the matter of interpolation as he becomes accustomed to using the tables. For example : in finding log 18769 he may take log 1877 from the tables and subtract the correction for 1, instead of taking log 1876 and adding the correction for 9. Again, in finding log cos 78° 38' 56" he may take log cos 78° 39' and add the correction for 4" instead of taking log cos 78° 38' and sub- tracting the correction for 56". Numerous points of this kind, which in many cases will shorten the work, will 'suggest them- selves, and need not be specified here.
EXAMPLES. Find 0 in each of the following examples :
1 n 0 - 6-2984 8ip' 63° 18/ W 6 = / 127° l/ 7"
" 7.5692 cot 116° 36' 12" " 1 307° 1' 1"
o 2.93 tan 48° 6' 38" 0=/121°34' 3"
" 14.12 sin 26° 13' 42" " i 238° 25' 57"
EXPLANATION OF THE TABLES. XXIX
7° 58' VI" 172° 1' 43"
I sin3 146° 12' 19" X tan 78° 12' 32" a _ 8- 8m ° := \ cot* 12° 14' 6" X cos 64° 4' 55" '
352° V 43"
. a _ .93862 cos2 312° 38' 40" e= f 32° 55' 19" 4. cot a : _ -
TABLE IY. (Pages 67 and 68.)
19. Sine and Tangent of Small Angles. This table derives its usefulness from the fact that when an angle (a) is
small the ratios ?!5L? and ^-^ vary but slowly. The quan-
a a
tities S and T in the table are the logarithms (increased by 10) of these ratios, where the angle is expressed in seconds. Hence, to find log sin and log tan of a small angle we have the formulae
log sin a = log a" + S
log tan a = log a" + T and to find a small angle from its log sin or log tan we have
log a" = log sin a — S
log a" •=. log tan a — T
Ex. Find log tan 0° 26' 51".
0° 26' 51" = 1611" log 1611 = 3.20710
T (for 0° 270=4.68558
.-. log tan 0° 26' 51" = 7.89268
(the same calculated from Table III. is 7.89264, which is thus shewn to be in error four units in the fifth place). Ex. Given log sin a = 8.36892, find a. From Table III. we find that a = 1° 207 approximately ; hence, the proper value of S (from Table IY) is 4.68554. We have, therefore, log sin a _ s= 3>68338 = log a//
a = 4824" -=1° 20/24". Yerify the following statements, by means of Table IY :
log sin 0° 57' 36" = 8.22412.
log tan a = 8.19632, a = 0° 54' 1".
To find the cosine or cotagent of an angle nearly 90° use the same table, taking the sine or tangent, as the case may be, of the complement of the given angle.
XXX EXPLANATION OF THE TABLES.
TABLE V. Natural Functions. (Pages 69-78.)
20. By the terms natural sine, cosine, etc., are meant the actual values of these functions. The table is used compara- tively seldom, and for that reason the functions are given for every five minutes only. To find the functions for inter- mediate minutes the process of interpolation by simple pro- portion is used. Thus, to find sin 51° 18', we have
sin 51° 20' = .78079
sin 51° 15' = .77988 difference for 5' = 91 hence, correction for 3' = f of 91 = 55, and sin 51° 18' = .77988 + .00055 = .78043.
The rules given above, for adding and subtracting correc- tions and for finding functions of angles greater than 90°, apply here the same as in the case of Table III.
The results of interpolating minutes in that part of the table which gives the cot of angles less than 15° and the tan- gents of angles between 75° and 90° will, in general, not be correct in the last place. Hence, when considerable .precision is required in these cases the function should be found by taking the natural number corresponding to the logarithm found in Table III.
TABLE VI. Circular Arcs Expressed in Radians. (Page 74.) This table gives to seven decimal places the number of radians for every degree up to 180°, with auxiliary tables for minutes and seconds.
EXERCISES. L How many radians in 126° 38' 19" ? From the table we have
number of radians in 126° =2.1991149
38' = .0110538
" " 19"= .0000921
" " 126° 38' 19" = 2.2102608
2. How many degrees, minutes and seconds in 4.6832964 radians ? As this number of radians exceeds 180, we subtract the number of
EXPLANATION OF THE TABLES. XXXI
radians in 180° and find the degrees, minutes and seconds in the remainder. This last added to 180° is the result :
Given number of radians = 4.6832964 Radians in 180° =3.1415927
Difference =1.5417037
Radians in 88° = 1.5358897
.0058140
Radians in 19' = .0055269
.0002871
Radians in 59" = 2860
Result = 268° 19' 59" .0000011
The last difference, .0000011, corresponds to less than half a second.
TABLE VII. Napierian Logarithms of Numbers. (Pages
75, 76.)
Although these logarithms are not used for purposes of practical computation, their values are sometimes required in calculating values of transcendental functions, and for other purposes. -The table gives the logarithm of each number from 1 to 1000. As the value of the characteristic does not depend upon the position of the decimal point, nor the value of the mantissa solely upon the sequence of figures in the corres- ponding number, we cannot use the table just as we do a table of common logarithms. If log 363.8 is required we can find it by interpolating between log 363 and log 364 ; but if log 3638 is required we must find log 363.8 in the manner just indicated, and then add log 10. The work is as follows :
log 363 =5.89440
log 364 = 5.89715
difference = 275
.8 of difference = 220
adding this to log 363 gives log 363.8 = 5.89660
log 10 = 2.30259 log 3638 = 8.19919
To find the number corresponding to a given Napierian logarithm we first subtract as many times log 10 as may be necessary to bring the logarithm within the limits of the
XXX11 EXPLANATION OF THE TABLES.
table. Then find the number corresponding to this difference and multiply it by the power of 10, whose logarithm was subtracted at the beginning. Thus, to find the number whose Napierian logarithm is 9.62983 :
log 100 = 2 log 10 = 4.60517
9.62983 — 4.60517 = 5.02466
5.02466 is the logarithm of some number between 152 and 153. Given log =5.02466
log 152 =5.02388
difference 78
tabular difference = 656 78 -4- 656 = .12.
5.02466 is the logarithm of 152.12. Hence, 9.62983 is the logarithm of 152.12 X 100 = 15212.
TABLE I.
COMMON LOGARITHMS OF NUMBERS.
If. |
O |
l |
2 |
3 |
4 |
5 |
6 7 |
8 |
9 |
Prop. Pts. |
||||
100 |
00 000 |
043 |
087 |
130 |
173 |
217 |
260 |
303 |
346 |
389 |
||||
01 |
432 |
475 |
518 |
561 |
604 |
647 |
689 |
732 |
775 |
817 |
44 |
43 |
42 |
|
02 03 |
860 oi 284 |
903 326 |
945 368 |
988 410 |
452 |
*072 494 |
*ii5 536 |
*I57 578 |
*i99 620 |
*242 662 |
i 2 |
4.4 8.8 |
4-3 8.6 |
& |
04 |
703 |
745 |
787 |
828 |
870 |
912 |
953 |
995 |
*o36 |
*078 |
3 |
13.2 |
I2.9 |
12.6 |
05 |
02 119 |
160 |
202 |
243 |
284 |
325 |
366 |
407 |
449 |
490 |
4 |
17.6 |
17.2 |
16.8 |
06 |
531 |
572 |
612 |
653 |
694 |
735 |
776 |
816 |
857 |
898 |
i |
22. 0 26 A |
21.5 |
21.0 25.2 |
07 08 09 |
938 03 342 743 |
979 383 782 |
423 822 |
*o6o 463 862 |
*IOO 503 902 |
*i4i 543 941 |
*i8i 583 981 |
*222 623 *O2I |
*262 663 *o6o |
*3<>2 703 *IOO |
I 9 |
*v.«| 30-8 35-2 39.6 |
30.1 38.7 |
29.4 33-6 37.8 |
110 |
04 139 |
179 |
218 |
258 |
297 |
336 |
376 |
415 |
454 |
493 |
||||
II |
532 |
57 i |
610 |
650 |
689 |
727 |
766 |
805 |
*844 |
*883 |
41 |
40 |
39 |
|
12 |
922 |
961 |
999 |
*o38 |
*o77 |
*II5 |
*i54 |
*I92 |
i |
4.1 |
4.0 |
7.0 |
||
13 |
05 308 |
346 |
385 |
423 |
461 |
500 |
538 |
576 |
614 |
652 |
2 |
8.2 |
8.0 |
O :? 7.8 |
14 15 |
690 06 070 |
729 108 |
767 145 |
805 183 |
843 221 |
88l 258 |
918 296 |
956 333 |
994 |
*032 408 |
3 4 |
12.3 12.0 16.4 16.0 |
ii. 7 15-6 |
|
16 |
446 |
483 |
558 |
595 |
633 |
670 |
707 |
744 |
781 |
5 |
20.5 |
20. o |
19-5 |
|
6 |
24.6 |
24.0 |
23.4 |
|||||||||||
17 |
819 |
856 |
893 |
930 |
967 |
*oo4 |
*o4 1 |
^078 |
*"5 |
^151 |
28.7 |
28.0 |
27.3 |
|
18 |
07 188 |
225 |
262 |
298 |
335 |
372 |
408 |
445 |
482 |
518 |
g |
•3.2.8 |
72. 0 |
31.2 |
19 |
555 |
628 |
664 |
700 |
737 |
773 |
809 | 846 |
882 |
9 36.9 36-0 |
35-1 |
||||
120 |
918 |
954 |
990 |
*027 |
*o63 |
*099 |
*I35 |
*i7i |
*207 *243 |
|||||
21 |
08 279 |
314 |
350 |
386 |
422 |
458 |
493 |
529 |
565 600 |
38 |
37 |
36 |
||
22 |
636 |
672 |
707 |
743 |
*778 |
814 |
849 |
884 |
920 |
*955 |
i |
' 3-8 |
3-7 |
3-6 |
23 |
991 |
*026 |
*o6i |
*o96 |
*i67 |
202 |
*237 |
*272 |
2 |
7-6 |
7-4 |
7.2 |
||
24 |
09 342 |
377 |
412 |
447 |
482 |
517 |
552 |
587 |
621 |
*656 |
3 |
11.4 ii. i _ _ _ _ . o |
10.8 |
|
25 26 |
691 10 037 |
726 072 |
760 106 |
795 140 |
830 175 |
864 209 |
899 243 |
934 278 |
968 312 |
346 |
4 1 |
15.2 14.8 19.0 18.5 22.8 22.2 |
14.4 18.0 21.6 |
|
27 |
380 |
415 |
449 |
483 |
517 |
55i |
585 |
619 |
653 |
687 |
7 |
26.6 25.9 25.2 |
||
28 |
721 |
755 |
789 |
823 |
857 |
890 |
924 |
958 |
992 |
*025 |
8 |
30.4 29.6 28.8 |
||
29 |
ii 059 |
093 |
126 |
160 |
193 |
227 |
26l |
294 |
327 |
361 |
9 |
34-2 33-3! 32.4 |
||
180 |
394 |
428 |
461 |
494 528 |
561 |
594 |
628 |
661 |
694 |
|||||
31 |
727 |
760 |
793 |
826 860 |
893 |
926 |
959 |
992 |
*O24 |
35 |
34 |
33 |
||
32 |
12 057 |
090 |
123 |
156 189 |
222 |
254 |
287 |
320 |
352 |
i |
3-5 |
3-4 |
3.3 |
|
33 |
385 |
418 |
450 |
483 5*6 |
548 |
581 |
613 |
646 |
678 |
2 |
7.0 |
6.8 |
6.6 |
|
34 |
710 |
743 |
775 |
808 |
840 |
872 |
905 |
937 |
969 |
*OOI |
3 |
10.5 |
IO.2 _ _ £ |
9-9 |
II |
13 033 354 |
066 386 |
098 418 |
130 450 |
162 481 |
194 513 |
226 545 |
258 577 |
290 609 |
322 640 |
4 5 6 |
14.0 17-5 21.0 |
13.6 17.0 20.4 |
13-2 16.5 I9.8 |
37 |
672 |
704 |
735 |
767 |
799 |
830 |
862 |
893 |
925 |
956 |
7 |
24.5 |
23-8 |
23.1 |
38 |
988 |
'o 1 9 |
*05I |
*082 |
*ii4 |
*i45 |
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715 919 122 S3 726 925 124 |
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552 756 960 163 365 566 766 965 163 |
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313 473 632 791 949 107 264 420 576 |
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569 |
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596 |
610 |
623 |
637 |
5 |
7.0 0 . |
21 22 |
651 786 |
664 799 |
678 813 |
69! 826 |
705 840 |
718 853 |
732 |
745 880 |
759 893 |
772 907 |
6 g |
8.4 9.8 112 |
23 |
920 |
934 |
947 |
9*1 |
974 |
987 |
*OOI |
*oi4 |
*028 |
*o4i |
9 |
12.6 |
24 |
5i 055 |
068 |
081 |
095 |
108 |
121 |
135 |
148 |
162 |
175 |
||
25 |
188 202 |
215 |
228 |
242 |
255 |
268 |
282 |
295 |
308 |
|||
,26 |
322 335 348 |
362 |
375 |
388 |
402 |
415 |
428 |
441 |
||||
27 |
455 468 |
481 |
495 |
508 |
521 |
534 |
548 |
56i |
574 |
13 |
||
28 |
587 |
601 |
614 |
627 |
640 |
654 |
667 |
680 |
693 |
706 |
i |
1.3 |
29 |
720 |
733 |
746 |
759 |
772 |
786 |
799 |
812 |
825 |
838 |
2 |
2.6 |
330 |
85i |
865 |
878 |
891 |
904 |
917 |
930 |
943 |
957 |
970 |
3 |
3.9 5M |
3i |
983 |
996 |
*oo9 |
*O22 |
*°35 |
*048 |
*o6i |
*°75 |
*o88 |
*IOI |
4 |
•2 6-5 |
32 |
52 114 |
127 |
140 |
153 |
1 66 |
179 |
192 |
205 |
218 |
231 |
6 |
|
33 |
244 |
257 |
270 |
284 |
297 |
310 |
323 |
336 |
349 |
362 |
7 |
7.0 9-1 |
34 |
375 |
388 |
401 |
414 |
427 |
440 |
453 |
466 |
479 |
492 |
8 |
10.4 |
35 |
504 |
517 |
530 |
543 |
556 |
569 |
582 |
595 |
608 |
621 |
9 |
ii. 7 |
36 |
634 |
647 |
660 |
673 |
686 |
699 |
711 |
724 |
737 75o |
|||
37 |
7^3 |
776 |
789 |
802 |
815 |
827 |
840 |
853 |
866 879 |
|||
38 |
892 |
905 |
917 |
930 |
943 |
956 |
969 |
982 |
994 |
*007 |
12 |
|
39 |
53 020 |
033 |
046 |
058 |
071 |
084 |
097 |
no |
122 |
135 |
||
340 |
148 |
161 |
173 |
186 |
199 |
212 |
224 |
237 |
250 |
263 |
i |
1.2 2j |
4i |
275 |
288 |
301 |
314 |
326 |
339 |
352 |
364 |
377 |
390 |
•i |
•4 3.6 |
42 43 |
403 529 |
415 542 |
428 555 |
441 567 |
453 580 |
466 593 |
479 605 |
491 618 |
504 631 |
643 |
O 4 5 |
4-8 6.0 |
44 |
656 |
668 |
681 |
694 |
706 |
719 |
732 |
744 |
757 |
769 |
6 7-2 |
|
45 |
782 |
794 |
807 |
820 |
832 |
845 |
857 |
870 |
882 |
895 |
I 81 |
|
46 |
908 |
920 |
933 |
945 |
958 |
970 |
983 |
995 |
•008 |
*020 |
8 9.6 |
|
47 |
54 033 |
045 |
058 |
070 |
083 |
095 |
108 |
120 |
133 |
145 |
9 10.8 |
|
48 |
170 |
183 |
195 |
208 |
220 |
233 |
245 |
258 |
270 |
|||
49 |
283 |
295 |
307 |
320 |
332 |
345 |
357 |
370 |
382 |
39-1 |
||
350 |
407 |
419 |
432 |
IU |
456 |
469 |
481 |
494 |
5</> |
Si* |
||
N. |
0 |
1 |
2 |
:* 4 |
5 <» |
7 8 i> |
Prop. I'ts. |
N. ' |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
Pro |
p. Pts. |
350 |
54 407 |
419 |
432 |
444 |
456 |
469 |
481 |
494 |
506 |
5i8 |
||
5i 52 53 54 55 56 57 58 59 |
53i 654 777 900 55 023 145 267 388 509 |
543 667 790 913 035 157 279 400 522 |
555 679 802 925 047 169 291 413 534 |
568 691 814 937 060 182 303 425 546 |
58o 704 827 949 072 194 315 437 558 |
593 716 839 962 084 206 328 449 570 |
605 728 851 974 096 218 340 461 582 |
617 741 864 986 108 230 352 473 594 |
630 753 876 998 121 242 364 485 606 |
642 765 888 *OII 133 255 376 497 618 |
i 2 3 4 5 6 |
13 1-3 2.6 3-9 5-2 6.5 7.8 |
860 |
630 |
642 |
654 |
666 |
678 |
691 |
703 |
715 |
727 |
739 |
z |
9-1 |
61 62 63 64 65 66 67 68 69 |
75i 871 991 56 no 467 585 703 |
763 883 *oo3 122 241 360 478 597 714 |
775 895 *ois 134 253 372 490 608 726 |
787 907 *027 146 265 384 502 62O 738 |
799 919 *038 158 277 396 5H 632 750 |
811 93i *o5o 170 289 407 526 644 761 |
823 943 *062 182 301 419 538 656 773 |
835 955 *074 194 312 43i 549 667 785 |
847 967 *o86 205 324 443 56i 679 797 |
859 979 *098 217 336 455 573 691 808 |
O 9 i 2 3 4 |
10.4 ii. 7 12 1.2 2-4 3-6 4.8 |
370 |
820 |
832 |
844 |
855 |
867 |
879 |
891 |
902 |
914 |
926 |
5 |
6.0 |
7i 72 73 74 75 76 77 78 79 |
937 57 054 171 287 403 519 634 749 864 |
949 066 183 299 415 530 646 761 875 |
961 078 194 310 426 542 657 772 887 |
972 089 206 322 438 553 669 784 898 |
984 101 217 334 449 565 680 795 910 |
996 H3 229 345 461 576 692 807 921 |
*oo8 124 241 357 473 588 703 818 933 |
*oi9 136 252 368 484 600 7*5 830 944 |
*03I 148 264 380 496 6n 726 841 955 |
*<H3 159 276 392 507 623 738 852 967 |
9 i 2 |
7-2 8.4 9.6 10.8 ii i.i 2.2 |
380 |
978 |
990 |
*OOI |
*OI3 |
*024 |
*o35 |
*047 |
*os8 |
*o7o |
*o8i |
3 |
3-3 |
Si 82 83 84 85 86 87 88 89 |
58 092 206 320 433 546 659 771 883 995 |
104 218 33i 444 557 670 782 894 *oo6 |
115 229 343 456 569 681 794 906 *oi7 |
127 240 354 467 580 692 805 917 *028 |
138 252 365 478 59i 704 816 928 *o4o |
149 263 377 49° 602 715 827 939 *osi |
161 274 501 614 726 838 950 *062 |
172 286 399 512 625 737 850 961 *Q73 |
184 297 410 524 636 749 861 973 *o84 |
195 309 422 535 647 760 872 984 *095 |
4 5 6 8 9 |
4.4 5-5 6.6 1:1 9-9 10 |
390 |
59 i°6 |
118 |
129 |
140 |
151 |
162 |
173 |
184 |
195 |
207 |
i |
I.O |
9i 92 93 94 95 96 97 98 99 |
218 329 439 550 660 770 879 988 60 097 |
229 34o 450 56i 671 780 890 999 108 |
240 351 461 III 791 901 *OIO 119 |
251 362 472 583 693 802 912 *O2I 130 |
262 373 483 594 704 813 923 *032 141 |
273 384 494 605 715 824 934 *043 152 |
284 395 506 616 726 835 945 *054 163 |
295 406 517 627 737 846 956 *o6s 173 |
306 417 528 638 748 857 966 *076 184 |
3i8 428 539 649 759 868 977 *o86 195 |
3 4 5 6 8 9 |
3-0 4.0 5-0 6.0 7.0 8.0 9.0 |
400 |
206 |
217 |
228 |
239 |
249 |
260 |
271 |
282 |
293 |
304 |
||
N. |
O |
1 |
2, |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
Pro |
p. Pts. |
N. |
o |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
Pro |
p. Pts. |
400 |
60 206 |
217 |
228 |
239 |
249 |
260 |
271 |
282 |
293 |
304 |
||
01 02 03 04 a 07 08 09 |
314 423 531 638 746 853 959 61 066 172 |
325 433 54i 649 % 970 077 183 |
336 444 552 660 767 874 981 087 194 |
347 455 563 670 778 885 991 098 204 |
3g 466 574 68 1 788 895 *002 109 215 |
369 477 584 692 799 906 *oi3 119 225 |
379 487 595 703 810 917 *023 130 236 |
390 498 606 713 821 927 *<>34 140 247 |
401 509 617 724 831 938 *o45 151 257 |
412 520 627 735 842 949 *055 162 268 |
i 2 3 |
IX i.i 2.2 3-3 |
410 |
278 |
289 |
300 |
310 |
321 |
33i |
342 |
352 |
363 |
374 |
4 |
4.4 |
ii 12 13 14 15 16 17 18 19 |
384 49° 595 700 805 909 62 014 118 221 |
395 500 606 711 815 920 024 128 232 |
.405 •511 616 721 826 930 034 138 242 |
416 521 627 III 941 045 149 252 |
426 532 637 742 847 951 055 159 263 |
437 542 648 752 857 962 066 170 273 |
448 658 763 868 972 076 180 284 |
458 563 669 773 878 982 086 190 294 |
469 574 679 784 888 993 097 20 1 304 |
479 584 690 794 899 *oo3 107 211 315 |
8 9 |
•o 6.6 1:1 9-9 |
420 |
325 |
335 |
346 |
356 |
366 |
377 |
387 |
397 |
408 |
4l8 |
||
21 22 23 24 25 26 27 28 29 |
428 I3' 634 737 839 941 63 043 144 246 |
439 542 644 747 849 95i 053 155 256 |
449 552 655 757 859 961 063 165 266 |
459 66\ 767 870 972 073 175 276 |
469 572 675 778 880 982 083 185 286 |
480 583 685 992 094 195 296 |
49° 593 696 798 900 *OO2 I04 205 306 |
500 603 706 808 910 *OI2 114 215 317 |
5ii 613 716 818 921 *022 124 225 327 |
521 624 726 829 931 *o33 134 236 337 |
• I 2 3 4 6 8 9 |
10 I.O 2.0 3-o 4.0 5.0 6.0 7.0 8.0 9.0 |
430 |
347 |
357 |
367 |
377 |
387 |
397 |
407 |
417 |
428 |
438 |
||
3i 32 33 34 35 36 37 38 39 |
448 548 649 749 849 949 64 048 H7 246 |
458 558 659 759 859 959 058 157 256 |
468 568 669 769 869 969 068 167 266 |
478 579 679 779 879 979 078 J77 276 |
488 $ 789 889 988 088 I87 286 |
498 599 699 799 899 998 098 '97 296 |
508 609 709 809 909 *oo8 108 207 306 |
518 619 719 819 919 *oi8 118 217 316 |
528 629 729 829 929 *028 128 227 326 |
538 639 739 839 939 *o38 137 237 335 |
i 2 3 |
9 0.9 1.8 2.7 |
440 |
345 |
355 |
365 |
375 |
385 |
395 |
404 |
414 |
424 |
434 |
4 |
3-6 |
4i 42 43 44 45 46 47 48 49 |
444 542 640 738 836 933 65 031 128 225 |
454 552 650 748 846 943 040 137 234 |
464 562 660 758 856 953 050 147 244 |
473 572 670 768 865 963 060 157 254 |
483 582 680 777 875 972 070 >*7 263 |
493 59i 689 787 885 982 079 176 273 |
£? 699 992 089 186 283 |
513 611 709 807 904 *002 099 I96 292 |
523 621 719 816 914 *OII 108 205 302 |
532 631 729 826 924 *02I 118 215 312 |
i 9 |
4-5 5-4 6.3 7.2 8.1 |
450 |
321 |
33i |
34i |
35<> |
360 |
369 |
379 |
389 |
39« |
408 |
||
N. |
O |
1 |
2 |
:j |
1 |
5 |
6 |
7 |
8 |
«) |
Prop |
. Pts. |
N. |
O |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
Proi |
p. Pts. |
450 |
65 321 |
331 |
341 |
350 |
36o |
369 |
379 |
389 |
398 |
408 |
||
5i 52 53 54 55 56 57 58 59 |
418 514 610 706 801 896 66 087 181 |
427 523 619 715 811 906 *OOI 096 191 |
437 533 629 725 820 916 *OII 106 200 |
447 543 639 734 830 925 *O2O H5 210 |
456 552 648 744 839 935 *030 124 219 |
466 562 658 753 849 944 *o39 134 229 |
475 57i 667 763 858 954 *049 M3 238 |
485 58i 677 772 868 963 *o58 153 247 |
495 591 686 782 877 973 *o68 162 257 |
504 600 696 792 887 982 *077 172 266 |
i 2 3 |
IO 1.0 2.0 3-0 |
460 |
276 |
285 |
295 |
304 |
314 |
323 |
332 |
342 |
35i |
36i |
4 c |
4.0 e o |
61 62 63 64 65 66 67 68 69 |
370 464 558 652 745 839 932 67 025 117 |
380 474 567 661 755 848 941 034 127 |
389 483 577 671 764 857 950 043 136 |
398 492 586 680 III 960 052 145 |
408 502 596 689 783 876 969 062 154 |
417 5ii 605 699 978 071 164 |
427 521 614 708 801 894 987 080 173 |
436 530 624 717 811 904 997 089 182 |
445 539 633 727 820 913 *oo6 099 191 |
455 549 642 736 829 922 *oi5 108 201 |
6 8 9 |
M 7.0 8.0 9.0 |
470 |
210 |
219 |
228 |
237 |
247 |
256 |
265 |
274 |
284 |
293 |
||
7i 72 73 74 75 76 11 79 |
302 394 486 578 669 761 852 943 68 034 |
3ii 403 495 679 770 861 952 043 |
321 413 504 779 870 961 052 |
330 422 514 605 697 788 879 970 06 1 |
339 43i 523 614 706 797 888 979 070 |
348 440 532 624 7i5 806 897 988 079 |
357 449 54i 633 724 815 906 997 088 |
367 459 550 642 733 825 916 *oo6 097 |
376 468 560 651 742 834 925 *ois 106 |
385 477 569 660 752 843 934 *O24 115 |
i 2 3 4 5 6 8 9 |
9 0.9 1.8 2.7 3-6 4-5 5-4 6-3 7.2 8.1 |
480 |
124 |
133 |
142 |
151 |
160 |
169 |
178 |
187 |
196 |
205 |
||
81 82 83 84 85 86 87 88 89 |
215 305 395 485 574 664 753 842 93i |
224 3H 404 494 583 673 762 851 940 |
233 323 413 502 592 681 771 860 949 |
242 332 422 511 601 690 780 869 958 |
251 34i 43i 520 610 699 789 878 966 |
260 350 440 529 619 708 797 886 975 |
269 359 449 538 628 717 806 895 984 |
278 368 458 547 637 726 815 904 993 |
287 377 467 556 646 735 824 913 *002 |
476 565 655 744 833 922 *OII |
i 2 3 |
8 0.8 1.6 2.4 |
490 |
69 020 |
028 |
037 |
046 |
055 |
064 |
073 |
082 |
090 |
099 |
4 |
3-2 |
9i 92 93 94 95 96 97 98 99 |
108 197 285 373 461 548 636 723 810 |
117 205 294 38i 469 557 644 732 819 |
126 214 302 390 478 566 653 740 827 |
135 223 3ii 399 487 574 662 749 836 |
144 232 320 408 496 583 671 758 845 |
152 241 329 417 504 592 679 767 854 |
161 $ 425 513 601 688 775 862 |
170 258 346 434 522 609 697 784 871 |
179 267 355 443 531 618 705 |
188 276 364 452 539 627 714 80 1 888 |
6 8 9 |
4.0 4.8 5.6 6.4 7.2 |
500 |
897 |
906 |
914 |
923 |
932 |
940 |
949 |
958 |
966 |
975 |
||
N. |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
Pro] |
>. Pts. |
IO
N. |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
Pro] |
). PtS. |
500 |
69 897 |
906 |
914 |
923 |
932 |
940 |
949 |
958 |
966 |
975 |
||
or 02 03 04 05 06 07 08 09 |
984 70 070 157 243 329 415 501 586 672 |
992 079 165 252 338 424 509 595 680 |
*OOI 088 174 260 346 432 5i8 603 689 |
*OIO 096 183 269 355 441 526 612 697 |
*oi8 105 191 278 364 449 535 621 706 |
*O27 114 200 286 372 458 544 629 7H |
*o36 122 209 295 381 467 552 638 723 |
*044 131 217 303 389 475 56i 646 73i |
*o53 140 226 312 398 484 569 655 740 |
*062 148 234 32i 406 492 578 663 749 |
I 2 3 |
9 0.9 1.8 2-7 |
510 |
757 |
766 |
774 |
783 |
791 |
800 |
808 |
817 |
825 |
834 |
4 |
3-6 4e |
ii 12 13 14 15 16 17 18 19 |
842 927 71 012 096 181 265 349 433 517 |
851 935 020 105 I89 273 357 441 525 |
859 944 029 113 282 366 450 533 |
868 952 037 122 206 290 374 458 542 |
876 961 046 130 214 299 383 466 55o |
885 969 054 139 223 307 39i 475 559 |
893 978 063 147 231 315 399 483 567 |
902 986 071 155 240 324 408 492 575 |
910 995 079 164 248 332 416 500 584 |
919 *oo3 088 172 257 341 £3 592 |
6 I 9 |
5-4 6-3 7.2 8.1 |
520 |
600 |
609 |
617 |
625 |
634 |
642 |
650 |
659 |
667 |
675 |
||
21 22 23 24 25 26 27 28 29 |
684 767 850 933 72 016 099 181 263 346 |
692 775 858 941 024 107 189 272 354 |
700 784 867 950 032 H5 362 |
709 792 875 958 041 123 206 288 370 |
717 800 883 966 049 132 214 296 378 |
725 809 892 975 057 140 222 304 387 |
734 817 900 983 066 148 230 313 395 |
742 825 908 991 074 156 239 321 403 |
750 834 917 999 082 165 247 329 411 |
759 842 925 *oo8 090 173 255 337 419 |
* i 2 3 4 I 8 9 |
8 0.8 1.6 2.4 3-2 4.0 4-8 5-6 6.4 7.2 |
580 |
428 |
436 |
444 |
452 |
460 |
469 |
477 |
485 |
493 |
501 |
||
3i 32 33 34 35 36 37 38 39 |
509 59i 673 754 835 916 997 73 078 159 |
5i8 599 681 762 843 925 *oo6 086 167 |
526 607 689 770 852 933 *OI4 094 175 |
534 616 697 779 860 941 *022 102 183 |
542 624 705 787 868 949 *o3o in 191 |
550 632 713 795 876 957 *o38 119 199 |
558 640 722 803 884 965 *046 127 207 |
567 648 730 811 892 973 *°54 135 215 |
575 656 738 819 900 981 *062 143 223 |
583 665 746 827 908 989 *070 151 231 |
i 2 3 |
7 0.7 1.4 2.1 |
540 |
239 |
24? |
255 |
263 |
272 |
280 |
288 |
296 |
304 |
312 |
4 |
2.8 |
41 42 43 44 8 47 48 49 |
320 400 480 560 640 719 799 878 957 |
328 408 488 568 648 727 807 886 965 |
336 416 496 576 656 735 8i5 894 973 |
344 424 5«>4 584 664 743 823 902 981 |
352 432 5" 592 672 751 830 910 989 |
360 440 520 600 679 759 838 918 997 |
368 448 528 608 687 767 846 926 •00| |
376 456 536 616 695 775 854 933 *oi3 |
384 464 544 624 703 783 862 941 *020 |
392 472 552 632 711 791 870 949 *028 |
1 8 9 |
3-5 4-2 4-9 5-6 6.3 |
550 |
74 036 |
"44 |
052 |
060 |
068 |
076 |
084 |
092 |
099 |
107 |
||
N. |
0 |
1 1 |
9 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
Pro] |
». Pis. |
II
N. |
O |
1 |
2 |
3 |
4 |
5 |
G |
7 8 |
9 |
Prop. Pts. |
||
550 51 52 53 54 P 57 58 59 560 61 62 63 64 65 66 3 69 570 7i 72 73 74 3 £ 79 580 81 82 83 84 85 86 87 88 89 590 9i 92 93 94 95 96 97 98 99 600 |
74 036 |
044 |
052 |
060 |
068 |
076 |
084 |
092 |
099 |
107 |
I 2 3 4 5 6 8 9 i 2 '3 4 5 6 8 9 |
8 0.8 1.6 2.4 3-2 4.0 4.8 5-6 6.4 7.2 7 0.7 1.4 2.1 2.8 3-5 4.2 4-9 5-6 6.3 |
H5 194 273 35i 429 50? 586 663 74i |
123 202 280 359 437 515 593 671 749 |
131 2IO 288 367 445 523 601 679 757 |
139 218 296 374 453 53i 609 687 764 |
147 225 304 382 461 539 617 695 772 |
155 233 312 39° 468 547 624 702 780 |
162 241 320 398 476 554 632 710 788 |
170 249 327 406 484 562 640 718 796 |
178 257 335 414 492 570 648 726 803 881 |
186 265 343 421 500 578 656 733 811 |
|||
819 |
827 |
834 |
842 |
850 |
858 |
865 |
873 |
889 |
||||
896 974 75 051 128 205 282 358 435 5ii |
904 981 059 136 213 289 366 442 5i9 |
912 £ i43 220 297 374 450 526 |
920 997 074 151 228 305 38i 458 534 |
927 *oo5 082 159 236 312 389 465 542 |
935 *OI2 089 166 243 320 397 473 549 |
943 *O2O 097 174 251 328 404 48l 557 |
950 *028 105 182 259 335 412 488 565 |
958 *035 "3 343 420 496 572 |
966 *°43 120 197 274 351 427 504 580 |
|||
587 |
595 |
603 |
610 |
618 |
626 |
633 |
641 |
648 |
656 |
|||
664 740 815 89r 967 76 042 118 193 |
671 747 823 899 974 050 ^25 200 275 |
679 755 831 906 982 057 133 208 283 |
686 762 838 914 989 065 140 215 290 |
694 770 846 921 997 072 148 223 298 |
702 778 853 929 *oo5 080 155 230 305 |
709 785 861 937 *OI2 087 163 238 313 |
717 793 868 944 *O2O 095 170 245 320 |
724 800 876 952 *O27 103 178 253 328 |
732 808 884 959 *°35 no 185 260 335 |
|||
343 |
350 |
358 |
365 |
373 |
380 |
388 |
395 |
403 |
410 |
|||
418 492 567 641 716 790 864 938 77 012 085 |
425 500 574 649 723 797 871 945 019 |
433 507 582 656 730 805 879 953 026 |
440 515 589 664 738 812 886 960 034 |
448 522 597 671 745 819 893 967 041 |
455 530 604 678 753 827 901 975 048 |
462 537 612 686 760 834 908 982 056 |
470 545 619 693 768 842 916 989 063 |
477 552 626 701 775 849 923 997 070 |
485 559 634 708 782 856 930 *oo4 078 |
|||
093 |
100 |
107 |
H5 |
122 |
129 |
137 |
144 |
151 |
||||
159 232 305 379 452 525 597 670 743 815 |
166 240 313 386 459 532 605 677 750 |
173 247 320 393 466 539 612 685 757 |
181 254 327 401 474 546 619 692 764 |
1 88 262 335 408 481 554 627 699 772 |
195 269 342 415 488 561 634 706 779 |
203 276 349 422 495 568 641 714 786 |
210 283 357 430 503 576 648 721 793 |
217 291 364 437 5io 583 656 728 801 |
225 298 37i 444 517 59° 663 735 808 |
|||
822 |
830 |
837 |
844 |
851 |
859 |
866 |
873 |
880 |
||||
N. |
0 | 1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
Prop. Pts. |
12
N. |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
Pro] |
p. Pts. |
600 |
77 8i5 |
822 |
830 |
837 |
844 |
85I |
859 |
866 |
873 |
880 |
||
01 02 03 04 05 06 07 08 09 |
887 960 78 032 104 176 247 319 390 462 |
895 967 039 in 183 254 326 398 469 |
902 974 046 118 190 262 333 405 476 |
909 981 053 125 197 269 340 412 483 |
916 988 061 132 204 276 347 419 490 |
924 996 068 140 211 283 355 426 497 |
931 *oo3 075 147 219 290 362 433 504 |
938 *OIO 082 154 226 297 369 440 512 |
945 *oi7 089 161 233 305 376 447 519 |
952 *025 097 1 68 240 312 383 455 526 |
I 2 3 |
8 0.8 1.6 2.4 |
610 |
533 |
54o |
547 |
554 |
56i |
569 |
576 |
583 |
590 |
597 |
4 5 |
3-2 A O |
ii 12 13 14 15 16 17 18 19 |
604 675 746 817 888 958 79 029 099 169 |
611 682 753 824 895 965 036 106 176 |
618 689 760 831 902 972 043 H3 183 |
625 696 767 838 909 979 050 120 190 |
633 704 774 845 916 986 057 127 197 |
640 711 78i 852 923 993 064 134 204 |
647 718 789 859 930 *000 071 141 211 |
654 725 796 866 937 *oo7 078 148 218 |
661 732 803 873 944 *oi4 085 155 225 |
668 739 810 880 *951 *O2I 092 162 232 |
6 8 9 |
4.8 5-6 6.4 7.2 |
620 |
239 |
246 |
253 |
260 |
267 |
274 |
28l |
288 |
295 |
302 |
||
21 22 23 24 25 26 27 28 29 |
309 379 449 5i8 657 727 796 865 |
3i6 386 456 525 595 664 734 803 872 |
323 393 463 532 602 671 741 810 879 |
330 4OO 470 539 609 678 748 817 886 |
337 407 477 546 616 685 754 824 893 |
344 414 484 553 623 692 761 831 900 |
351 421 491 560 630 699 768 837 906 |
358 428 498 567 637 706 775 844 913 |
365 435 505 574 644 713 782 851 920 |
372 442 5H 581 650 720 789 858 927 |
i 2 3 4 5 6 8 9 |
7 0.7 1.4 2.1 2.8 3-5 4.2 4-9 5-6 6.3 |
680 |
934 |
94i |
948 |
955 |
962 |
969 |
975 |
982 |
989 |
996 |
||
3i 32 33 34 11 § 39 |
80 003 072 140 209 277 346 414 482 550 |
010 079 147 216 284 353 421 489 557 |
017 085 154 223 291 359 428 496 564 |
024 092 161 229 298 366 434 502 570 |
030 099 1 68 236 305 373 441 509 577 |
037 106 175 243 312 38o 448 5i6 584 |
044 "3 182 250 3i8 387 455 523 59i |
051 120 188 257 325 393 462 53° 598 |
058 127 195 264 332 400 468 536 604 |
065 134 2O2 271 339 407 475 543 611 |
i 2 3 |
6 0.6 1.2 1.8 |
640 |
618 |
625 |
632 |
638 |
645 |
652 |
659 |
665 |
672 |
679 |
4 |
2.4 |
4i 42 43 44 45 46 47 48 49 |
686 754 821 889 956 8 1 023 090 158 224 |
693 760 828 895 963 030 097 164 231 |
699 767 835 9°2 969 037 104 171 238 |
706 ffi 909 976 043 in 178 245 |
713 78i 848 916 983 050 117 184 251 |
720 787 855 922 990 057 124 I9o 258 |
726 794 862 929 S6 064 131 % |
733 801 868 936 *oo3 070 137 20.} 271 |
740 808 875 943 *OIO 077 144 211 278 |
747 814 882 949 *oi7 084 151 218 285 |
8 9 |
3-o 3-6 4.2 4.8 5-4 |
650 |
291 |
298 |
305 |
3ii |
3i8 |
325 |
331 |
33« |
345 |
35i |
||
N. |
0 |
1 |
2 |
3 |
1 |
5 |
G |
7 |
8 |
9 |
Proj |
. Pts. |
N. |
O |
1 |
2 |
3 |
4 |
5 |
6 |
7 8 |
9 |
Prop. Pts. |
||
650 51 52 53 54 55 56 57 58 59 660 61 62 63 64 65 66 67 68 69 670 72 73 74 75 76 77 78 79 680 81 82 83 84 85 86 87 88 89 690 92 93 94 9 9 99 700 |
81 291 |
298 |
305 |
311 |
318 |
325 |
331 |
338 |
345 |
351 418 485 551 617 684 750 816 882 948 |
i 2 3 4 6 I 9 i 2 3 4 5 6 8 9 |
7 0.7 1.4 2.1 2.8 3-5 4.2 4.9 5-6 6.3 6 0.6 1.2 1.8 2.4 3.o 3-6 4.2 4.8 5-4 |
358 425 491 558 624 690 757 823 889 |
365 431 498 564 631 697 763 829 895 |
37i 438 505 637 704 770 836 902 |
378 445 578 644 710 776 842 908 |
385 451 518 584 651 717 915 |
391 458 525 591 657 723 790 856 921 |
398 465 531 598 664 730 796 862 928 |
405 471 538 604 671 737 803 869 935 |
411 478 544 611 677 743 809 875 941 |
||||
954 |
961 |
968 |
974 |
981 |
987 |
994 |
*ooo |
*oo7 |
*oi4 |
|||
82 020 086 151 217 282 347 413 478 543 |
027 092 158 223 289 354 419 484 549 |
033 099 164 230 295 360 426 491 556 |
040 105 171 236 302 367 432 497 562 627 |
046 112 I78 243 308 373 439 504 569 |
053 119 184 249 315 380 445 575 |
060 125 191 256 321 387 452 517 582 |
066 132 197 263 328 393 458 523 588 |
073 138 204 269 334 400 465 530 595 |
079 210 276 341 406 471 536 601 |
|||
607 |
614 |
620 |
633 |
640 |
646 |
653 |
659 |
666 |
||||
672 737 802 866 930 995 83 059 123 187 |
679 743 808 872 937 *OOI 065 129 193 |
685 750 814 879 943 *oo8 072 136 200 |
692 756 821 885 078 142 206 |
698 763 827 892 956 *020 085 149 213 |
705 769 834 898 963 *027 091 155 219 |
711 776 840 905 969 *o33 097 161 225 |
718 782 847 911 *975 104 168 232 |
724 789 853 918 982 no 174 238 |
730 795 924 *f2 117 181 245 |
|||
251 315 378 442 506 569 632 696 759 822 |
257 |
264 |
270 |
276 |
283 |
289 |
296 |
302 |
308 |
|||
321 385 448 512 575 639 702 765 828 |
327 391 455 582 645 708 771 835 |
334 3f 461 525 651 715 778 841 |
340 404 467 531 594 658 721 784 847 |
347 410 474 537 601 664 727 790 853 |
353 417 480 544 607 670 734 797 860 |
359 423 487 550 613 677 740 i |
366 429 493 556 620 683 746 809 872 |
372 436 499 563 626 689 753 816 879 |
||||
885 |
891 |
897 |
904 |
910 |
916 |
923 |
929 |
935 |
942 |
|||
948 84 on 073 136 198 261 323 386 448 |
954 017 080 142 205 267 330 392 454 |
960 023 086 148 211 273 336 398 460 |
967 029 092 155 217 280 342 404 466 |
973 036 098 161 223 286 348 410 473 |
979 042 105 167 230 292 354 417 479 |
985 048 in 173 236 298 423 485 |
992 055 117 180 242 305 367 429 491 |
998 061 123 186 248 311 373 435 497 |
067 130 192 255 317 379 442 504 |
|||
5io |
5i6 |
522 |
528 |
535 |
54i |
547 |
553 |
559 |
566 |
|||
N. |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
Prop. Pts. |
N. |
0 |
1 |
2 |
\ 3 |
4 |
5 |
6 |
7 |
8 |
9 |
Pro |
). Pts. |
700 |
84 510 |
5i6 |
522 |
528 |
535 |
541 |
547 |
553 |
559 |
566 |
||
01 02 03 04 05 06 07 08 09 |
572 634 696 757 819 880 942 85 003 065 |
578 640 702 763 825 887 948 009 071 |
584 646 708 770 831 893 954 016 077 |
590 652 7H 776 837 899 960 022 083 |
597 658 720 782 844 905 967 028 089 |
603 665 726 788 850 911 973 034 095 |
609 671 733 794 856 917 979 040 101 |
615 677 739 800 862 924 985 046 .107 |
621 683 745 807 868 930 991 052 114 |
628 689 751 813 874 936 997 058 120 |
I 2 3 |
7 0.7 1.4 2.1 |
710 |
126 |
132 |
138 |
144 |
150 |
156 |
163 |
169 |
175 |
181 |
4 |
2.8 •7 C |
ii 12 13 14 15 16 17 18 19 |
187 248 309 37o 43i 491 552 612 673 |
193 254 3i5 376 437 497 558 618 679 |
199 260 321 382 443 503 564 625 685 |
205 266 327 388 449 509 570 63i 691 |
211 272 333 394 455 5i6 576 637 697 |
217 278 339 400 461 522 582 643 703 |
224 285 345 406 467 528 588 649 709 |
230 291 352 412 473 534 594 655 715 |
236 297 358 418 479 540 600 661 721 |
242 303 364 425 485 546 606 667 727 |
6 9 |
O'O 4-2 4-9 5-6 6-3 |
720 |
733 |
739 |
745 |
75i |
757 |
763 |
769 |
775 |
78i |
788 |
||
21 22 23 24 25 26 27 28 29 |
794 854 9M 974 86 034 094 153 213 273 |
800 860 920 980 040 100 159 219 279 |
806 866 926 986 046 106 165 225 285 |
812 872 932 992 052 112 171 231 291 |
818 878 938 998 058 118 177 237 297 |
824 884 944 *oo4 064 124 183 243 303 |
830 890 950 *OIO 070 130 189 249 308 |
836 896 956 *oi6 076 136 195 255 3H |
842 902 962 *O22 082 141 201 26l 320 |
848 908 968 *028 088 147 207 267 326 |
* i 2 3 4 1 8 9 |
6 0.6 1.2 1.8 2.4 3-0 3-6 4-2 4.8 5-4 |
730 |
332 |
338 |
344 |
350 |
356 |
362 |
368 |
374 |
380 |
386 |
||
3i 32 33 34 35 36 37 38 39 |
392 45i 5io 570 629 688 747 806 864 |
398 457 5i6 576 635 694 753 812 870 |
404 463 522 58i 641 700 759 817 876 |
410 469 528 587 646 705 764 823 882 |
4i5 475 534 593 652 711 770 |
421 481 540 717 776 835 894 |
427 487 546 605 664 723 782 841 900 |
433 493 552 611 670 729 738 847 906 |
439 499 558 617 676 735 794 853 911 |
445 504 564 623 682 74i 800 859 917 |
i 2 3 |
5 0-5 I.O i-5 |
740 |
923 |
929 |
935 |
941 |
947 |
953 |
958 |
964 |
970 |
976 |
4 |
2.0 |
4i 42 43 44 45 46 47 48 49 |
982 87 040 099 157 216 274 332 390 448 |
988 046 105 163 221 280 338 396 454 |
994 052 in 169 227 286 344 402 460 |
999 058 116 175 233 291 349 408 466 |
*oo5 064 122 181 239 297 355 413 47i |
*OI I 070 128 186 245 303 36i 419 477 |
*oi7 075 134 192 251 309 367 425 483 |
*023 081 140 198 256 315 373 $ |
*029 087 146 204 262 320 379 437 495 |
*o35 093 151 210 268 326 384 442 500 |
9 |
2.5 3-0 3-5 4.0 4-5 |
750 |
506 |
5" |
5i8 |
523 |
529 |
535 |
54i |
547 |
552 |
558 |
||
N. |
0 |
1 |
•z |
:* |
t |
5 |
6 |
7 |
N |
9 |
I'roi |
). I'tS. |
N. |
O 1 2 3 |
4 |
5 |
6 |
7 |
8 |
9 |
Prop. Pts. |
||||
750 5i 52 53 54 55 56 11 59 760 61 62 63 64 65 66 6? 68 69 770 7i 72 73 74 75 76 77 78 79 780 81 82 83 84 85 86 87 88 89 790 9i 92 93 94 95 96 97 98 99 800 |
87 506 |
512 |
5i8 |
523 |
529 |
535 |
541 |
547 |
552 |
558 |
I 2 3 4 6 8 9 i 2 3 4 5 6 8 9 |
6 0.6 1.2 1.8 2.4 3-0 3-6 4.2 4-8 54 5 o.5 I.O 1.5 2.0 2-5 3-0 3-5 4.0 4-5 |
564 622 679 737 795 852 910 967 88 024 |
570 628 685 743 800 858 915 973 030 |
576 633 691 749 806 864 921 978 036 |
58i 639 697 754 812 869 927 984 041 |
587 645 703 760 818 875 933 990 047 |
593 651 708 766 823 881 938 996 053 |
599 656 714 772 829 887 944 *OOI 058 |
604 662 720 777 835 892 950 *oo7 064 |
610 668 726 783 841 898 955 *OI3 070 |
616 674 73i 789 846 904 961 *oi8 076 |
|||
081 |
087 |
093 |
098 |
104 |
no |
116 |
121 |
127 |
133 |
|||
138 195 252 309 366 423 480 536 593 |
144 201 258 315 372 429 485 542 598 |
150 207 264 321 377 434 491 547 604 |
156 213 270 326 383 440 497 553 610 |
161 218 275 332 389 446 502 559 615 |
167 224 281 338 395 45i 508 564 621 |
173 230 287 343 400 457 513 570 627 |
I78 235 292 349 406 463 519 576 632 |
184 241 298 355 412 468 525 58i 638 |
190 247 304 360 417 474 530 587 643 |
|||
649 |
655 |
660 |
666 |
672 |
677 |
683 |
689 |
694 |
700 |
|||
705 762 818 874 930 986 89 042 098 154 |
711 767 824 880 936 992 048 IO4 159 |
717 773 829 885 941 997 053 109 165 |
722 779 835 891 947 *oo3 059 H5 170 |
728 784 840 897 953 *009 064 120 176 |
734 790 846 902 958 *oi4 070 126 182 |
739 795 852 908 964 *020 076 I3I 187 |
745 801 857 913 969 *025 081 137 193 |
750 807 863 919 975 *o3i 087 198 |
756 812 868 925 981 *o37 092 148 204 |
|||
209 |
215 |
221 |
226 |
232 |
237 |
243 |
248 |
254 |
260 |
|||
265 321 376 432 487 542 597 653 708 |
271 326 382 437 492 548 603 658 713 |
276 443 498 553 609 664 719 |
282 337 393 448 504 559 614 669 724 |
287 343 398 454 509 564 620 675 73° |
348 404 459 515 57o 625 680 735 |
298 354 409 465 520 575 631 686 741 |
304 360 415 470 526 58i 636 691 746 |
310 365 421 476 531 586 642 697 752 |
315 37i 426 481 537 592 647 702 757 |
|||
763 |
768 |
774 |
779 |
785 |
79° |
796 |
801 |
807 |
812 |
|||
818 873 927 982 90 037 091 146 200 255 |
823 878 933 988 042 097 151 206 260 |
829 883 938 993 048 102 157 211 266 |
834 889 944 998 053 108 162 217 271 |
840 894 949 *oo4 059 "3 168 222 276 |
845 900 955 *oo9 064 119 173 227 282 |
851 905 960 -015 069 124 179 233 287 |
856 911 966 *O2O 075 I29 184 238 293 |
862 916 971 *026 080 135 189 244 298 |
867 922 977 *03I 086 140 *95 249 304 |
|||
309 |
3i4 |
320 |
325 |
331 |
336 |
342 |
347 |
352 |
358 |
|||
N. |
0 1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
Prop. Pts. |
i6
N. |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
Pro] |
[>. PtS. |
800 |
90 309 |
314 |
320 |
325 |
331 |
336 |
342 |
347 |
352 |
358 |
||
OI 02 03 04 05 06 07 08 09 |
363 417 472 526 634 687 741 795 |
369 423 477 585 639 693 747 800 |
374 428 482 536 590 644 698 752 806 |
380 434 488 542 596 650 703 757 811 |
385 439 493 547 601 655 709 763 816 |
39° 445 499 553 607 660 768 822 |
396 450 504 558 612 666 720 773 827 |
401 455 509 563 6i7 671 725 779 832 |
407 461 515 569 623 677 730 784 838 |
412 466 520 574 628 682 736 789 843 |
||
810 |
849 |
854 |
859 |
865 |
870 |
875 |
881 |
886 |
891 |
897 |
||
ii 12 14 II 17 18 19 |
902 956 91 009 062 116 169 222 275 328 |
907 961 014 068 121 174 228 28l 334 |
020 % 180 339 |
918 972 025 078 132 185 238 291 344 |
924 977 030 084 137 190 243 297 350 |
929 982 036 089 142 196 249 302 355 |
041 094 148 201 254 307 360 |
940 993 046 100 153 206 259 312 365 |
945 998 052 105 158 212 265 318 371 |
950 *oo4 057 1 10 164 217 270 323 376 |
I 2 3 4 6 8 |
6 0.6 1.2 1.8 2.4 3-o 3-6 4-2 4-8 |
820 |
381 |
387 |
392 |
397 |
403 |
408 |
413 |
418 |
424 |
429 |
9 |
5-4 |
21 22 23 24 25 26 27 28 29 |
434 487 593 803 855 |
440 492 545 598 651 703 756 808 861 |
445 498 603 656 709 761 814 866 |
450 609 66 1 714 766 819 871 |
614 666 719 772 824 876 |
461 514 566 619 672 724 777 829 882 |
466 519 572 624 677 730 782 834 887 |
47i 524 577 630 682 735 787 840 892 |
477 529 582 635 687 740 793 845 897 |
482 535 640 693 745 798 850 903 |
||
880 |
908 |
913 |
918 |
924 |
929 |
934 |
939 |
944 |
950 |
955 |
||
32 33 34 37 38 39 |
960 92 OI2 065 117 169 221 273 324 376 |
965 018 070 122 174 226 278 330 381 |
971 023 075 127 179 231 283 335 387 |
976 028 080 132 184 236 288 340 392 |
981 033 085 137 189 241 293 345 397 |
986 038 091 143 195 247 298 350 402 |
991 044 096 148 200 252 304 355 407, |
997 049 101 153 205 257 309 412 |
*002 054 106 158 210 262 366 4l8 |
*oo7 059 in 163 215 267 319 37i 423 |
i 2 3 4 5 6 7 |
5 I.O i-5 2.0 2.5 3-0 3-5 |
840 |
428 |
433 |
438 |
443 |
449 |
454 |
459 |
464 |
469 |
474 |
8 |
4.0 |
' 42 43 44 45 46 47 48 49 |
480 531 583 634 686 737 788 840 891 |
s 588 639 691 742 793 |
490 542 593 645 747 799 850 901 |
495 547 598 650 701 752 8°- |
500 655 706 758 809 860 911 |
505 557 609 660 711 763 814 865 916 |
5" 562 614 665 716 768 819 870 921 |
567 619 670 722 773 824 875 927 |
521 572 624 675 727 778 829 881 932 |
526 578 629 681 732 783 834 886 937 |
9 |
4-5 |
850 |
942 |
947 |
952 |
957 |
962 |
967 |
973 |
978 |
983 |
988 |
||
N. |
0 |
1 |
2 |
3 |
I |
I |
; |
7 |
8 |
» |
Pro] |
). PtS. |
N. |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
Pro |
p. Pts. |
850 |
92 942 |
947 |
952 |
957 |
962 |
967 |
973 |
978 |
983 |
988 |
||
5i 52 53 54 55 56 57 58 59 |
993 93 044 095 146 197 247 298 349 399 |
998 049 IOO 151 202 252 303 354 404 |
*oo3 054 105 156 207 258 308 359 409 |
*oo8 059 no 161 212 263 313 364 414 |
*oi3 064 H5 166 217 268 3i8 369 420 |
"018 069 120 171 222 273 323 374 425 |
*024 075 125 176 227 278 328 379 430 |
*029 080 I31 181 232 283 334 384 435 |
*034 s 1 86 237 288 339 389 440 |
*039 090 141 192 242 293 344 394 445 |
i 2 3 |
6 0.6 1.2 1.8 |
860 |
450 |
455 |
460 |
465 |
470 |
475 |
480 |
485 |
490 |
495 |
4 5 |
2.4 •7 O |
61 62 63 64 65 66 67 68 69 |
500 55i 601 651 702 752 802 852 902 |
505 556 606 656 707 757 807 857 907 |
5io 56i 611 661 712 762 812 862 912 |
515 566 616 666 717 767 817 867 917 |
520 57i 621 671 722 772 822 872 922 |
526 576 626 676 727 777 827 877 927 |
53i 58i 631 682 732 782 832 882 932 |
536 586 636 687 737 787 837 887 937 |
54i 59i 641 692 742 792 842 892 942 |
546 596 646 697 747 797 847 897 947 |
6 1 9 |
1.6 4.2 4.8 5-4 |
870 |
952 |
957 |
962 |
967 |
972 |
977 |
982 |
987 |
992 |
997 |
||
7i 72 73 74 75 76 77 78 79 |
94 002 052 101 151 201 250 300 349 399 |
007 057 106 156 206 255 305 354 404 |
012 062 III 161 211 260 310 359 409 |
017 067 116 166 216 265 315 364 414 |
022 072 121 171 221 270 320 369 419 |
027 077 126 176 226 275 325 374 424 |
082 131 181 231 280 330 379 429 |
037 086 136 186 236 285 384 433 |
042 091 141 191 240 290 34o |
047 096 146 196 245 295 345 394 443 |
i 2 3 4 5 6 8 9 |
5 0.5 I.O i-5 •2.O 2-5 3.0 3-5 4.0 4-5 |
880 |
448 |
453 |
458 |
463 |
468 |
473 |
478 |
483 |
488 |
493 |
||
81 82 83 84 85 86 87 88 89 |
498 547 596 645 694 743 792 841 890 |
503 552 601 650 797 846 895 |
507 557 606 655 704 753 802 851 900 |
512 562 611 660 709 758 807 856 905 |
517 567 616 665 714 763 812 861 910 |
522 57i 621 670 719 768 817 866 9*5 |
527 576 626 675 724 773 822 871 919 |
532 58i 630 680 729 778 827 876 924 |
537 586 635 685 734 783 832 880 929 |
542 59i 640 689 738 787 836 885 934 |
i 2 3 |
4 0.4 0.8 1.2 |
890 |
939 |
944 |
949 |
954 |
959 |
963 |
968 |
973 |
978 |
983 |
4 |
1.6 |
91 92 93 94 95 96 97 98 99 |
988 95 036 085 134 182 231 279 328 376 |
993 041 090 139 187 236 284 332 38i |
998 046 095 143 192 240 289 337 386 |
*002 051 IOO 148 197 245 294 342 39° |
*007 056 105 153 202 250 299 347 395 |
*OI2 061 109 158 207 255 303 352 400 |
*oi7 066 114 163 211 260 308 357 405 |
*022 071 119 168 216 265 313 36i 410 |
*027 075 124 173 221 270 318 366 415 |
*032 080 129 177 226 274 323 371 419 |
6 8 9 |
2.O 2-4 2.8 11 |
900 |
424 |
429 |
434 |
439 |
444 |
448 |
453 |
458 |
463 |
468 |
||
N. |
O |
1 |
* |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
Proj |
>. Pts. |
i8
w. |
0123 |
4 |
5 |
6 |
7 |
8 |
9 |
Prop. Pts. |
||||
900 01 02 03 04 05 06 07 08 09 910 ii 12 13 14 15 16 17 18 920 21 22 23 24 25 26 27 28 29 930 32 33 34 35 36 37 38 39 940 42 43 44 45 46 47 48 49 950 |
95 424 |
429 |
434 |
439 |
444 |
448 |
453 |
458 |
.463 |
468 |
I 2 3 4 6 8 9 i 2 3 4 6 8 9 |
5 0-5 I.O 1-5 2.0 2-5 3-o 3.5 4.0 4.5 4 0.4 0.8 1.2 1.6 2.O 2-4 2.8 3-2 3-6 |
472 521 569 617 665 713 76i 809 856 |
477 525 574 622 670 718 766 813 86 1 |
482 530 578 626 674 722 770 818 866 |
437 535 583 679 727 775 823 871 |
492 540 588 636 684 732 780 828 875 |
497 545 593 641 689 737 785 832 880 |
SGI 550 598 646 694 742 789 837 885 |
506 650 698 746 794 842 890 |
559 607 655 703 751 799 847 895 |
516 564 612 660 708 756 804 852 899 |
|||
904 |
909 |
914 |
918 |
923 |
928 |
933 |
938 |
942 |
947 |
|||
952 999 96 047 095 142 190 237 284 332 |
957 *OQ4 052 099 147 194 242 289 336 |
961 *oc>9 057 104 152 199 246 294 |
06 1 109 156 204 251 298 346 |
066 114 161 209 256 303 350 |
976 *023 071 118 166 213 261 308 355 |
980 *028 076 123 171 218 265 313 360 |
*985 *o8o 128 175 223 270 317 365 |
990 *o38 085 133 180 227 275 322 369 |
*o9! 090 137 185 232 280 327 374 |
|||
_379_ 426 473 520 ' 614 661 708 755 802 |
384 |
388 |
393 |
398 |
402 |
407 |
412 |
417 |
421 |
|||
43i 478 525 572 619 666 713 759 |
435 483 530 577 624 670 717 764 811 |
440 487 534 58i 628 675 722 769 816 |
445 492 539 586 633 680 727 774 820 |
450 497 544 638 685 778 825 |
454 501 548 595 642 689 736 783 830 |
459 506 553 600 647 694 741 788 834 |
464 558 605 652 699 745 792 839 |
468 515 562 609 656 703 750 797 844 |
||||
848 |
853 |
858 |
862 |
867 |
872 |
876 |
881 |
886 |
890 |
|||
895 942 988 97 035 08 1 1*8 220 267 |
900 946 993 039 086 132 179 225 271 |
904 95i 997 044 090 137 183 230 276 |
909 956 *002 049 095 142 188 234 280 |
914 960 *oo7 053 IOO 146 192 239 285 |
918 965 *OII 058 104 151 197 243 290 |
923 970 *oi6 063 109 155 202 248 294 |
928 974 *02I 067 114 160 206 253 299 |
932 *979 072 118 165 211 257 304 |
937 *984 077 123 169 216 262 308 |
|||
_3Jf3_ 359 405 45i 497 543 589 727 |
317 |
322 |
327 |
331 |
336 |
340 |
345 |
350 |
354 |
|||
364 410 456 502 548 594 640 685 |
368 414 460 506 552 598 644 690 736 |
373 419 465 557 603 649 695 740 |
377 424 470 607 §9 745 791" |
382 428 474 520 566 612 658 704 749 |
387 433 479 525 617 663 708 754 |
391 437 483 529 575 621 667 759 |
396 442 488 534 580 626 672 717 |
400 447 493 539 630 676 722 |
||||
772 |
777 |
7*2 |
786 |
Soo |
804 |
809 |
813 |
|||||
N. |
0 1 |
2 :j i |
5 0 |
7 |
8 0 |
Proi |
.. Pis. |
N. |
o |
1 |
2 |
3 4 |
5 |
6 | 7 |
8 |
9 |
Prop. Pts. |
|||
950 5i 52 53 - 54 55 56 57 58 59 OGO 61 62 63 64 65 66 67 68 69 970 7i 72 73 74 75 76 11 79 980 81 82 83 84 85 86 87 88 89 990 9i 92 93 94 95 96 .97 98 99 1000 |
97 772 |
777 |
782 |
786 |
791 |
795 |
800 |
804 |
809 |
8i3 |
i 2 3 4 5 6 9 i 2 3 4 5 6 8 9 |
5 0.5 I.O i-5 2.0 2-5 3-o 3-5 4.0 4-5 4 0.4 0.8 1.2 1.6 2.0 2.4 2.8 % |
818 864 909 955 98 ooo 046 091 137 182 |
823 868 914 959 005 050 096 141 186 |
827 873 918 964 009 055 100 146 191 |
832 877 923 968 014 059 105 150 195 |
836 882 928 973 019 064 109 155 200 |
841 886 932 978 023 068 114 159 204 |
845 891 937 982 028 073 118 164 209 |
850 896 941 987 032 078 123 1 68 214 |
855 900 946 991 037 082 127 173 218 |
859 9°5 950 996 041 087 132 177 223 |
|||
227 |
232 |
236 |
241 |
245 |
250 |
254 |
259 |
263 |
268 |
|||
272 3i8 363 408 453 498 543 588 632 |
277 322 367 412 457 502 547 592 637 |
281 327 372 417 462 507 552 597 641 |
286 331 376 421 466 5ii 556 601 646 |
290 336 381 426 471 516 561 605 650 |
295 340 385 430 475 520 565 610 655 |
299 345 390 435 480 525 57o 614 659 |
3°4 349 394 439 484 529 574 619 664 |
308 354 399 444 489 534 579 623 668 |
313 358 403 448 493 538 583 628 673 |
|||
677 |
682 |
686 |
691 |
695 |
700 |
704 |
709 |
713 |
717 |
|||
722 767 8x1 856 900 945 989 99 034 078 |
726 771 816 860 9°5 949 994 038 083 |
73i 776 820 865 909 954 998 043 087 |
825 869 914 958 -003 047 092 |
740 784 829 874 9l8 963 *007 052 096 |
744 789 834 878 923 967 *OI2 056 100 |
749 793 838 883 927 972 *oi6 061 105 |
753 798 843 887 932 976 *02I 065 I09 |
758 802 847 892 936 981 *025 069 114 |
762 807 851 896 941 985 *029 074 118 |
|||
123 |
127 131 |
136 |
140 |
145 |
149 |
154 |
158 |
162 |
||||
167 211 255 300 344 388 432 476 520 |
171 216 260 304 348 392 436 480 524 |
176 220 264 308 352 396 441 484 528 |
180 224 269 313 357 401 445 489 533 |
185 229 273 317 361 405 449 493 537 |
I89 233 277 322 366 410 454 498 542 |
193 238 282 326 370 414 458 502 546 |
I98 242 286 330 374 419 463 506 550 |
202 247 291 335 379 423 467 5u 555 |
207 251 295 427 471 515 559 |
|||
564 |
568 |
572 |
577 |
58i |
585 |
590 |
594 |
599 |
603 |
|||
607 651 695 739 782 826 870 913 957 |
612 656 699 743 787 830 874 917 961 |
616 660 704 747 791 835 878 922 965 |
621 664 708 752 795 839 883 926 970 |
625 669 712 756 800 843 887 930 974 |
629 673 717 760 804 848 891 935 978 |
634 677 721 765 808 852 896 939 983 |
638 682 726 769 813 856 900 944 987 |
642 686 730 774 817 861 904 948 991 |
647 691 734 778 822 865 909 952 996 |
|||
00 000 |
004 |
009 |
013 |
017 |
022 |
026 |
030 |
035 |
039 |
|||
N. , |
O |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
Prop. Pts. |
20
TABLE II. |
||
CONSTANTS WITH THEIR LOGARITHMS. |
||
Number. |
Logarithm. |
|
TT (ratio of circumference to diameter) . . . 7T2 ... |
3.14159265 9.86960440 1.77245385 0.31830989 O.IOI32II8 0.56418958 3600 2i6oo/ I 296000" 57°.2957795 3437^74677 206264". 806 .01745329 .00029089 .000004848 2.718281828 0.434294482 3.8197186 3963.296 3949.790 3956. 39-37 39.37079 39.37043 5280. 6080.290 1.466667 0.681818 |
0.49714 99 0.99429 97 0.24857 49 9.50285 01 — 10 9.00570 03 — 10 9.75142 51—10 2.55630 25 4-33445 38 6.11260 50 1.75812 26 3-53627 39 5.31442 51 8.24187 74 — 10 6.46372 61 — 10 4.68557 49—10 0.43429 45 9.63778 43—10 0.58203 14 3-59805 65 3-59657 4o 3.59725 63 i.595i6 54 I.595I7 4i I.595I7 oi 3.72263 39 3-78392 43 .16633 15 9.83366 86—10 |
V* |
||
I |
||
I |
||
I |
||
v« ' Number of degrees in circumference .... minutes .... seconds " .... Degrees in arc equal to radius . |
||
Minutes " " " .... |
||
Seconds " " " |
||
Length of arc of i degree |
||
" " i minute |
||
" " i second |
||
Napierian base |
||
Modulus of common logarithms . . . |
||
Hours in which earth revolves through arc equal to radius |
||
Equat. radius of earth, miles (Clarke, 1878) Polar " " " " " Mean " " " |
||
Inches in i metre (U. S. Standard) " i " (British Standard) .... " i " (Clarke 1866) |
||
Feet in i mile . . .... |
||
Feet in i nautical mile (U. S. Coast Survey) Feet per second in i mile per hour |
||
Miles per hour in i foot per second .... |
21
TABLE III.
LOGARITHMS
OF THE
SINE, COSINE, TANGENT, AND COTANGENT
EACH MINUTE OF THE QUADRANT.
22
r |
L. Sin. |
d. |
L.Tarig. c. d. L.Cotg. |
L. Cos. |
Prop. Pts. |
||||||
O i 2 3 4 |
6.46 373 6.76 476 6.94 085 7.06 579 |
30103 17609 12494 9691 7918 6694 5800 5"5 4576 4*39 3779 3476 3218 |
6.46 373 6.76 476 6.94 085 7.06 579 |
30103 17609 12494 9691 7918 6694 5800 5"5 4576 4139 3779 3476 3219 2996 2803 2633 2482 2348 2228 2119 2O2O J93i 1848 1773 1704 1639 1579 *524 1473 1424 1379 1336 1297 "59 1223 1190 "59 1128 IIOO 1072 1047 1022 998 976 955 934 9^5 895 878 860 843 828 812 797 782 769 756 742 73<> |
3-53 627 3-23 524 3-05 915 2.93 421 |
o.oo ooo 0.00 000 o.oo ooo 0.00 000 o.oo ooo |
6O 59 58 57 56 |
d. I336 1297 1259 1223 1190 "59 1158 1128 IIOO 1072 1047 1046 IO22 999 998 976 955 954 934 |
d. 30103 17609 12494 9691 7918 6694 5800 5"5 4576 4139 3779 3476 3219 3218 2997 2996 2803 2802 2633 2483 2482 2348 2228 2227 2119 3021 2020 1931 1930 1848 1773 1704 1639 1579 1524 1473 1472 1424 1379 p.p.1" 22.27 21.62 20.98 20.38 19.83 19.32 19.30 18.80 18.33 17.87 17.45 17-43 17.03 16.65 16.63 16.27 15-92 15.90 15-57 |
p.p.l 501.7 293-4 208.^ l6i.e I3I.9 111.5 96.6 85-2 76.2 68.9 62.9 57-9 53.^ 53-^ 49-9 49-9 46.7 46.7 43-8 41.3 41-3 39-1 37-1 37-1 35-3 33-^ 33^ 32.1 32.1 30.8 29.= 28.4 27-3 26.3 25.4 24-5 24-5 23-7 22.9 d. 9i5 914 896 895 878 877 860 843 828 827 812 797 782 769 756 755 743 742 73° |
2 8 3 2 7 7 7 5 7 8 8 3 5 3 5 3 2 O 8 8 7 3 3 2 2 8 7 8 7 0 5 o 2 2 0 5 3 3 8 P-P-1" 15-25 15-23 14-93 14.92 14-63 14.62 14-33 14-05 13.80 13-78 13-53 13.28 13-03 12.82 12.60 12.58 12.38 12.37 12.17 |
6 7 8 9 |
7.16 270 7.24 188 7.30 882 7.36 682 7.41 797 |
7.16 270 7.24 188 7.30 882 7.36 682 7.41 797 |
2.83 730 2.75 812 2.69 118 2.63 318 2.58 203 |
0.00 000 o.oo ooo 0.00 000 o.oo ooo 0.00 000 |
55 54 53 52 5i |
||||||
10 ii 12 13 14 |
7-46 373 7-50 512 7-54 291 7-57 707 7.60 985 |
7-46 373 7-50 512 7-54 291 7-57 767 7.60 986 |
2.53 627 2.49 488 2.45 709 2.42 233 2.39 014 |
o.oo ooo o.oo ooo 0.00 000 o.oo ooo 0.00 000 |
50 49 48 47 46 |
||||||
15 16 17 18 19 |
7.63 982 7.66 784 7.69 417 7.71 900 7-74 248 |
2802 2633 2483 2348 |
7.63 982 7.66 785 7.69 418 7.71 900 7-74 248 |
2.36 018 2-33 215 2.30 582 2.28 100 2.25 752 |
0.00 000 o.oo ooo 9-99 999 9-99 999 9-99 999 |
45 44 43 42 4i |
|||||
20 21 22 23 24 |
7.76 475 7.78 594 7.80 615 7-82 545 7-84 393 |
2119 202 1 *93o 1848 1773 1704 1639 J579 1524 1472 1424 1379 1336 1297 |
.7.76 476 7-78 595 7.80 615 7-82 546 7-84 394 |
2.23 524 2.21 405 2.19 385 2.17 454 2.15 606 |
9-99 999 9-99 999 9-99 999 9-99 999 9-99 999 |
40 39 38 37 36 |
|||||
25 26 27 28 29 |
7.86 166 7.87 870 7.89 509 7.91 088 7.92 612 |
7.86 167 7.87 871 7-89 510 7.91 089 7.92 613 |
2.13 833 2.12 129 2.IO 490 2.08 911 2.07 387 |
9.99 999 9-99 999 9-99 999 9-99 999 9-99 998 |
35 34 33 32 3i |
||||||
30 3i 32 33 34 |
7-94 084 7-95 508 7.96 887 7.98 223 7-99 520 |
7.94 086 7-95 5io 7.96 889 7.98 225 7-99 522 |
2.05 914 2.04 490 2.03 III 2.01 775 2.00 478 |
9-99 998 9-99 998 9-99 998 9-99 998 9-99 998 |
30 29 28 27 26 |
||||||
33i 37 38 39 |
8.00 779 8. 02 002 8.03 192 8.04 350 8.05 478 |
1259 1223 1190 1158 1128 |
8.00781 8.02 004 8.03 194 8.04 353 8.05 481 |
1.99 219 1.97 996 1.96 806 1.95 647 1-94 519 |
9-99 998 9-99 998 9-99 997 9-99 997 9.99 997 |
25 24 23 22 21 |
|||||
40 4i 42 43 44 |
8.06 578 8.07 650 8.08 696 8.09 718 8.10717 |
1072 1046 1022 999 976 954 934 914 896 877 860 843 827 812 797 782 769 755 743 73° |
8.06 581 8.07 653 8.08 700 8.09 722 8.10 720 |
1-93 419 1.92 347 1.91 300 1.90 278 1.89 280 |
9-99 997 9-99 997 9.99 997 9.99 997 9-99 996 |
20 19 18 17 16 |
|||||
45 46 47 48 49 |
8. 1 1 693 8.12 647 8.13 581 8.14 495 8.IS 39i |
8. 1 1 696 8.12 651 8.13 585 8.14 500 8.15 305' |
1.88 304 1.87 349 1.86 415 1.85 500 1.84 605 |
9.99 996 9-99 996 9-99 996 9-99 996 9.99 996 |
15 14 13 12 II |
||||||
50 Si 52 53 54 |
8.16 268 8.17 128 8.17 971 8.18 798 8.19 610 |
8.16 273 8.17 133 8.17 976 8.18 804 8.19 616 |
1.83 727 1.82 867 1.82 024 1.81 196 x.8o 384 |
9-99 995 9-99 995 9-99 995 9-99 995 9-99 995 |
10 9 8 7 6 |
||||||
55 56 57 58 59 |
8.20 407 8.21 189 8.21 958 8.22713 8.23 456 |
8.20 413 8.21 195 8.21 964 8.22 720 8.23 462 |
i-79 587 1-78 805 1.78 036 1.77 280 1.76 538 |
9-99994 9-99 994 9-99 994 9-99 994 9-99 994 |
5 4 3 2 |
||||||
00 |
8.24 1 86 |
8.24 192 |
1.75 808 |
9-99 993 |
0 |
||||||
I,. ( os. d. |
L. Cotg. |
C. d. |
L.Tniic. |
JL. Sin. |
f |
Prop. Pts. |
if |
L. Sin. |
d. |
L.Tang. |
c. d. |
L. Cotg. |
L. Cos. |
Prop. |
Pts |
|||
o I 2 3 4 |
8.24 186 8.24 903 8.25 609 8.26 304 8.26 988 |
717 706 695 684 (,-~ |
8.24 192 8.24 910 8.25 616 8.26 312 8.26 996 |
* 706 696 684 fit? |
1.75 808 1.75 090 1.74 384 1.73 688 1.73 004 |
9-99 993 9-99 993 9-99 993 9-99 993 9-99 992 |
GO II 11 |
||||
5 6 7 8 9 |
8.27 661 8.28 324 8.28 977 8.29 621 8.30 255 |
663 653 644 634 624. |
8.27 669 8.28 332 8.28 986 8.29 629 8.30 263 |
°73 663 654 643 634 62 e |
1.72 331 1.71 668 1.71 014 1.70 371 1.69 737 |
9.99 992 9.99 992 9.99 992 9-99 992 9.99 991 |
55 54 53 52 5i |
d. |
P. D. 1" |
d. |
n TJ \" |
10 ii 12 13 14 |
8.30 879 8-31 495 8.32 103 8.32 702 8-33 292 |
616 608 599 590 |
8.30 888 8-31 505 8.32 112 8.32711 8.33 302 |
6l7 607 599 59i -0 . |
1.69 112 1.68 495 1.67 888 1.67 289 1.66 698 |
9-99 991 9-99 991 9-99 990 9.99 990 9-99 990 |
5O 49 48 47 46 |
718 717 706 696 605 |
11.97 n-95 11.77 1 1. 60 11.58 |
485 480 475 474 470 |
8.08 8.00 7.92 7.90 7 8q |
15 16 17 18 19 |
8-33 875 8-34 450 8 35 018 8-35 578 8.36 131 |
5°3 575 568 560 553 |
8.33 886 8.34 461 8-35 029 8-35 590 8.36 143 |
5°4 575 568 56i 553 e/ifi |
1.66 114 1-65 539 1.64 971 1.64 410 1.63 857 |
9-99 99° 9.99 989 9-99 989 9-99 989 9.99 989 |
45 44 43 42 4i |
684 673 663 654 653 |
11.40 11.22 11.05 10.90 10.88 |
t/v 464 460 459 455 450 |
7.73 7.67 7.65 7.58 7.50 |
20 21 22 23 24 |
8.36 678 8.37 217 8-37 750 8.38 276 8.38 796 |
539 533 526 520 |
8.36 689 8.37 229 8.37 762 8.38 289 8.38 809 |
540 533 527 520 |
1.63 311 1.62 771 1.62 238 1.61 711 1.61 191 |
9.99 988 9-99 988 9.99 988 9-99 987 9-99 987 |
40 39 38 37 36 |
644 643 634 625 624 |
10.73 10.72 io.57 10.42 10.40 |
446 445 441 437 436 |
7.43 7.42 7.35 7.28 7.27 |
25 26 27 28 29 |
8.39 3io 8.39 818 8.40 320 8.40 816 8.41 307 |
508 502 496 491 ,0. |
8-39 323 8.39 832 8.40 334 8.40 830 8.41 321 |
509 502 496 491 A&6 |
i. 60 677 .60 168 .59 666 •59 170 .58 679 |
9-99 987 9.99 986 9.99 986 9.99 986 9-99 985 |
35 34 33 32 3i |
617 616 608 607 599 |
10.28 10.27 10.13 IO.I2 9.98 o 8^ |
433 432 428 427 424 |
7.22 7.20 7.13 7.12 7.07 |
30 3i 32 33 34 |
8.41 792 8.42 272 8.42 746 8.43 216 8.43 680 |
480 474 470 464 |
8.41 807 8.42 287 8.42 762 8.43 232 8-43 696 |
480 475 470 464 |
•58 193 •57 713 •57 238 •56 768 •56 304 |
9.99 985 9-99 985 9-99 984 9-99 984 9-99 984 |
30 29 28 27 26 |
590 584 583 575 568 |
9-83 9-73 9.72 9.58 9-47 |
419 416 412 411 408 |
6.98 6.93 6.87 6.85 6.80 |
35 36 37 38 39 |
8.44 139 8.44 594 8.45 044 8.45 489 8-45 930 |
459 455 450 445 441 |
8.44 156 8.44 611 8.45 061 8-45 507 8.45 948 |
400 455 450 446 441 |
•55 844 •55 389 •54 939 •54 493 •54 052 |
9-99 983 9-99 983 9-99 983 9-99 982 9.99 982 |
25 24 23 22 21 |
56i 560 553 547 546 |
9-35 9-33 9.22 9.12 9.10 |
404 401 400 397 396 |
6.73 6.68 6.67 6.62 6.60 |
4O 4i 42 43 44 |
8.46 366 8.46 799 8.47 226 8.47 650 8.48 069 |
43° 433 427 424 419 A,f. |
8.46 385 8.46 817 8-47 245 8.47 669 8.48 089 |
437 432 428 424 420 Atft |
•53 615 •53 183 1-52 755 •52 33i .51 911 |
9-99 982 9-99 981 9.99 981 9-99 98i 9-99 98o |
20 19 18 17 16 |
540. 539 533 527 526 |
9.00 8.98 8.88 8.78 8-77 |
393 39° 386 383 382 |
£'55 6.50 6-43 6.38 6-37 |
45 46 47 48 49 |
8.48 485 8.48 896 8.49 304 8.49 708 8.50 108 |
411 408 404 400 qo6 |
8.48 505 8.48 917 8-49 325 8.49 729 8.50 130 |
412 408 404 401 |
•5i 495 •Si 083 •50 675 .50 271 .49 870 |
9.99 980 9-99 979 9-99 979 9-99 979 9-99 978 |
15 14 13 T2 II |
520 514 5<>9 508 502 4O6 |
O.O7 8-57 8.48 8.47 8.37 8.27 |
380 379 376 373 370 q6o |
6-33 6.32 6.27 6.22 6.17 6 15 |
5O Si 52 53 54 |
8.50 504 8.50 897 8.51 287 8-51 673 8.52 055 |
393 39° 386 382 |
8.50 527 8.50 920 8.51 310 8.51 696 8.52 079 |
393 390 386 383 |
•49 473 .49 080 .48 690 .48 304 •47 921 |
9-99 978 9-99 977 9.99 977 9.99 977 9.99 976 |
10 9 8 7 6 |
491 486 |
8.18 8.10 |
* 367 363 |
6.12 6.05 |
55 56 57 58 59 |
8.52 434 8.52 810 8-53 183 8-53 552 8-53 919 |
379 376 373 369 367 •36-3 |
8.52 459 8.52 835 8.53 208 8-53 578 8-53 945 |
3°° 376 373 37° 367 •afii |
•47 541 •47 165 .46 792 .46 422 •46 055 |
9-99 976 9-99 975 9-99 975 9-99 974 9-99 974 |
5 4 3 2 I |
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8.54 282 |
8.54 308 |
1.45 692 |
9-99 974 |
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8.54 282 8.54 642 8.54 999 8-55 354 8.55 705 |
360 357 355 35i 349 346 343 34i 337 336 332 33<> 328 325 323 320 3i8 316 313 3" 3°9 307 3°5 302 301 298 296 294 293 290 288 287 284 283 281 ' |
8.54 308 8.54 669 8-55 027 8.55 382 8-55 734 |
361 358 355 352 349 346' 344 34i 338 336 333 33° 328 326 323 321 3i9 316 314 3" 310 3°7 3<>5 303 301 299 297 295 292 291 289 287 285 284 28-1 280 278 276 274 273 271 269 268 266 .264 263 261 260 258 257 255 254 252 251 249 248 246 245 244 *43 |
1.45 692 i-45 33i 1-44 973 1.44 618 1.44 266 |
9 99 974 9-99 973 9-99 973 9.99 972 9.99 972 |
6O 59 58 57 56 |
P-P-1' 6. 02 6.00 5-97 5-95 5-92 5.87 5.85 5-82 5-77 5-73 5-72 5-68 5-63 ^.62 5-6o 5-55 5-53 5-5° 5*47 5-43 5-42 5-38 5-35 5.33 5-32 5-3° 5-27 5-23 5.22 5-i8 5.17 5-15 5-12 5-08 5-05 5.03 5.02 4.98 4-97 4-95 4-93 4.92 4.90 4.88 4-87 |
d. 291 290 289 288 287 285 284 283 281 280 279 278 277 276 274 273 272 271 270 269 268 267 266 264 263 261 260 259 258 257 256 255 254 253 252 251 250 249 248 247 246 245 244 243 242 |
p.p.l" 4-85 4-83 4.82 4.80 4.78 4-75 4-73 4.72 4.68 4.67 4.65 4-63 4.62 4.60 4-57 4-55 4-53 4-52 4-50 4.48 4-47 4-45 4-43 4.40 4.38 4-35 4-33 i32 4-30 4.28 4.27 4-25 4-23 4.22 4.20 4.18 4.17 4-15 4-13 4-1? 4.10 4.08 4.07 4-05 4-03 |
|
1 7 8 9 |
8.56 054 8.56 400 8.56 743 8-57 084 8.57 421 |
8.56 083 8.56 429 8-56 773 8.57 114 8-57 452 |
1-43 917 1-43 57i 1-43 227 1.42 886 1.42 548 |
9-99 971 9.99 971 9-99 970 9.99 970 9-99 969 |
55 54 53 52 5i |
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1O ii 12 13 14 |
8-57 757 8.58 089 8.58 419 8.58 747 8.59 072 |
8.57 788 8.58 121 8-58 451 8.58 779 8-59 105 |
1.42 212 1.41 879 1.41 549 I.4I 221 1.40 895 |
9-99 969 9-99 968 9-99 968 9-99 967 9.99 967 |
5O 49 48 47 46 |
361 360 358 357 355 352 35i 349 346 344 343 34i 338 337 336 333 332 33° 328 326 325 323 321 320 319 3i8 316 3*4 3i3 3" 310 3°9 307 3°5 303 302 301 299 298 297 296 295 294 293 292 |
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15 16 17 18 19 |
8-59 395 8-59 715 8.60 033 8.60 349 8.60 662 |
8.59 428 8-59 749 8.60 068 8.60 384 8.60 698 |
1.40 572 1.40 251 1-39 932 1.39 616 1-39 3°2 |
9-99 967 9.99 966 9.99 966 9-99 965 9.99 964 |
45 44 43 42 41 |
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20 21 22 23 24 |
8.60 973 8.61 282 8.61 589 8.61 894 8.62 196 |
8.61 009 8.61 319 8.61 626 8.61 931 8.62 234 |
1.38 991 1.38 681 1-38 374 1.38 069 1.37 766 |
9.99 964 9-99 963 9-99 963 9-99 962 9-99 962 |
40 39 38 37 36 |
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25 26 27 28 29 |
8.62.497 8.62 795 8.63 091 8.63 385 8.63 678 |
8.62 535 8.62 834 8.63 131 8.63 426 8.63 718 |
*-37 465 1.37 166 1.36 869 1-3.6 574 1.36 282 |
9-99 96i 9-99 961 9-99 96o 9-99 960 9-99 959 |
35 34 33 32 3i |
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30 3i 32 33 34 |
8.63 968 8.64 256* 8-64 543 8.64 827 8.65 no |
8.64 009 8.64 298 8.64 585 8.64 870 8.65 154 |
i-35 99i 1.35 70^ 1.35 415 1-35 130 1.34 846 |
9-99 959 9-99 958 9-99 958 9-99 957 9-99 956 |
30 29 28 27 26 |
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35 36 37 38 39 |
8.65 391 8.65 670 8.65 947 8.66 223 8.66 497 |
'279 277 276 274 272 270 269 267 266 263 263 260 259 258 |
8-65 435 8-65 715 8-65 993 8.66 269 8.66 543 |
i-34 565 i-34 285 1.34 007 1-33 73i 1-33 457 |
9-99 956 9-99 955 9-99 955 9-99 954 9-99 954 |
25 24 23 22 21 |
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40 4i. 42 43 44 |
8.66 769 8.67 039 8.67 308 8.67 575 8.67 841 |
8.66 816 8.67 087 8.67 35-6 8. "67 624 8.67 890 |
1-33 184 1.32 913 1.32 644 1.32 376 1.32*110 |
9-99 953 9-99 952 9-99 952 9-99 951 9-99 95 ! |
20 19 18 17 16 |
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45 46 47 48 49 |
8.68 104 8.68 367 8.68 627 8.68 886 8.69 144 |
8.68 154 8.68 417 8.68 678 8.68 938 8.69 196 |
1.31 846 1-31 583 1.31 322 1.31 062 1.30 804 |
9-99 950 9-99 949 9.99 949 9-99 948 . 9-99 948 |
15 14 13 12 II |
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50 Si 52 53 54 |
8.69 400 8.69 654 8.69 907 8.70 159 8.70 409 |
250 254 253 252 250 |
8-69 453 8.69 708 8.69 962 8.70 214 8.70 46? |
1-30 547 1.30 292 1.30 038 1.29.786 1-29 535 |
9-99 947 9.99 946 9-99 946 9-99 945 9-99 944 |
10 9 8 7 6 |
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55 56 57 58 59 |
8.70 658 8.70 90? 8.71 151 8-71 395 8.71 638 |
249 247 246 244 243 |
8.70 714 8.70 962 8.71 208 8-71 453 8.71 697 |
1.29 286 1.29 038 1.28 792 1.28 547 1.28 303 |
9-99944 9-99 943 9-99 942 9.99 942 9.99 941 |
5 4 3 2 I 0 |
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8.71 880 |
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8.71 940 |
1.28 060 |
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8.71 880 8.72 120 8.72 359 8.72 597 8.72 834 |
240 239 238 237 235 234 232 232 230 229 228 226 226 224 223 222 220 220 2I9 2I7 216 216 2I4 2I3 212 2X1 210 209 208 208 206 205 204 203 2O2 2OI 201 I99 199 197 197 I96 195 I94 life I92 192 I90 190 189 188 187 187 1 86 185 184 183 183 181 181 |
8.71 940 8.72 181 8.72 420 8.72 659 8.72 896 |
241 239 239 237 236 234 234 232 231 229 229 227 226 225 224 222 222 220 2I9 2I9 2I7 2l6 215 214 213 211 211 < 210 209 208 206 206 205 204 2*3 202 2O I 201 I99 I98 I98 I96 I96 '95 194 193 192 192 190 190 189 188 188 186 186 185 184 184 182 182 |
1.28 060 1.27 819 1.27 580 1.27 341 1.27 104 |
9-99 940 9.99 940 9-99 939 9-99 938 9-99 938 |
60 59 58 1 |
6 7 8 9 10 20 30 40 50 6 7 8 9 10 20 30 40 50 6 7 8 9 10 20 30 40 50 6 7 8 9 10 20 30 40 50 6 7 8 9 10 20 3° 4° 50 6 7 8 "9 10 20 30 40 50 |
438 23.8 27-8 31-7 35-7 39-7 79-3 119.0 158.7 198-3 225 22.5 26.3 30.0 33-8 37-5 75-0 112.5 150.0 187.5 212 "21.2 24.7 28.3 3L8 35-3 70.7 106.0 141-3 176.7 2OI 20.1 23-5 26.8 30.2 33-5 67.0 100.5 134.0 167.5 189 18.9 22.1 25.2 28.4 SI'S 63.0 94-5 126.0 157.5 4 6.4 c 0.5 c 0.5 c 0.6 c 0.7 c i-3 i 2.0 J 2.7 i 3-3 '- |
234 23-4 27-3 31.2 35-1 39-o 78.0 117.0 156.0 195-0 220 22.0 25-7 29-3 33-o 36.7 73-3. IIO.O 146.7 183-3 208 20.8 24-3 27.7 31.2 34-7 69-3 104.0 138.7 173-3 197 19.7 23.0 26.3 29.6 32.8 65-7- 98.5 I3L3 164.2 185 18.5 21.6 24.7 27.8 30.8 61.7 92.5 123-3 1542 3 « )-3 0.2 )-4 0.2 >-4 0.3 >-5 0.3 >-5 0.3 .0 0.7 •5 1.0 ..o 1.3 '•5 i-7 |
229 22.9 26.7 30.5 34-4 38.2 76.3 "4-5 152.7 190.8 216 21.6 25.2 28.8 32.4 t 36.0 72.0 108.0 144.0 180.0 204 20.4 23.8 27.2 30.6 34-0 68.0 102.0 136.0 170.0 193 19-3 22-5 25.7 29.0 32.2 6J.3 96.5 128.7 160.8 181 18.1 21. 1 24.1 27.2 30.2 60.3 9°-5 120.7 150.8 z O.I O.I O.I 0.2 O.2 0-3 0.5 0.7 0.8 |
6 7 8 9 |
8.73 069 8-73 303 8-73 535 8-73 767 8-73 997 |
8.73 132 8.73 366 8.73 600 8.73 832 8.74 063 |
1.26 868 1.26 634 1.26 400 1.26.168 1.25 937 |
9-99 937 9.99 936 9-99 936 9-99 935 9-99 934 |
55 54 53 52 5i |
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10 ii 12 13 14 |
8.74 226 8-74 454 8.74 680 8.74 906 8-75 130 |
8.74 292 8.74 52i 8.74 748 8.74 974 8-75 199 |
1.25 708 1.25 479 1.25 252 1.25 026 1.24 801 |
9-99 934 9-99 933 9.99 932 9.99 932 9-99 931 |
50 49 48 47 46 |
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15 16 17 18 19 |
8-75 353 8-75 575 8-75 795 8.76 015 8.76 234 |
8-75 423 8-75 645 8.75 867 8.76 087 8.76306 |
1-24 577 1-24 355 1-24 133 1.23 913 1.23 694 |
9-99 930 9.99 929 9.99 929 9-99 928 9-99 927 |
45 44 43 42 4i, |
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20 21 22 23 24 |
8.76 451 8.76 667 8.76 883 8-77 097 8.77 310 |
8.76 525 8.76 742 8.76 958 8.77 173 8.77 387 |
1.23 475 1.23 258 1.23 042 ' 1.22 827 1.22 613 |
9.99 926 9-99 926 9-99 925 9.99 924 9.99 923 |
40 39 38 % |
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25 26 27 28 29 |
8.77 522 8.77 733 8-77 943 8.78 152 8.78 360 |
8.77 600 8.77 811 8.78 022 8.78 232 8.78 441 |
1.22 400 1.22 189 " I.2I 978 I.2I 768 i.2i 559 |
9-99 923 9 99 922 9.99 921 9.99 920 9.99 920 |
35 34 33 32 3i |
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30 31 32 33 34 |
8.78 568 8.78 774 8.78 979 8.79 183 8.79 386 |
• 8.78 649 8.78 855 8.79 061 8.79 266 8.79 470 |
1. 21 351 ' I.2I 145 1.20 939 1.20 734 1.20 530 |
9-99 919 9-99 9i8 9.99 917 9-99 917 9.99 916 |
3O 29 28 27 26 |
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It 37 38 39 |
8.79 588 8-79 789 8-79 990 8.80 189 8.80 388 |
8.79 673 8-79 875 8.80 076 8.80 277 8.80 476 |
1.20 327 1.20 I2g I.I9 924 I.I9 723 I.I9.524 |
9-99 9*5 9-99 914 9-99 913 9-99 9*3 9-99 912 |
25 24 23 22 21 |
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40 4i 42 43 44 |
8.80 585 8.80 782 8.80 978 8.81 173 8.81 367 |
8.80 674 8.80 872 8.81 c68 8.81 264 8.81 459 |
I.I9 326 I.I9 128 1.18 932 1.18 736 1.18 541 |
9.99 911 9-99 9io 9-99 909 9.99 909 9-99 9°8 |
20k 19 18 17 16 |
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45 46 47 48 49 |
8.81 560 8.81 752 8.81 944 8.82 134 8.82 324 |
8.81 653 8.8l 846 8.82 038 8.82 230 8.82 420 |
1.18 347 1.18 154 1.17 962 1.17 770 1.17 580 |
9-99 9°7 9-99 9°6 9 99 9°5 9-99 904 9.99904 |
15 H 13 12 II |
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50 5i 52 53 54 |
8.82513 8.82 701 8.82 888 8.83 075 8.83 261 |
8.82 610 8.82 799 8.82 987 8-83 175 8.83 361 |
1.17 390 I.I7 201 I.I7 OI3 1.16 825 1.16 639 |
9.99 903 9.99 902 9-99 90i 9-99 900 9-99 ^99 |
10 9 8 7 6 |
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55 56 57 58 59 |
8.83 446 8.83 630 8.83 813 8.83 996 8.84 177 |
8.83 547 8.83 732 8.83 916 8.84 100 8.84 282 |
1-16 453 1.16 268 1.16 084 1.15900 1.15 718 |
9.99 898 9-99 898 9-99 897 9-99 896 9.99 895 |
5 4 3 2 I |
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8.84 358 |
8.84 464 |
I.I5 536 |
9-99 894 |
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8.84 358 8-84 539 8.84 718 8.84 897 8.85 075 |
181 179 179 178 |
8.84 464 8.84 646 8.84 826 8.85 006 8.85 185 |
182 180 180 179 |
1-15 536 I-I5 354 I.I5 174 1.14 994 1.14815 |
9.99 894 9.99 893 9-99 892 9-99 891 9-99 891 |
60 59 58 57 56 |
6 7 8 |
1 80 18.0 2I.O 24.0 |
177 17.7 20.7 23-6 |
174 17.4 20.3 23.2 |
5 6 7 8 9 |
8.85 252 8.85 429 8.85 605 8.85 780 8-85 955 |
177 177 176 i75 *75 |
8.85 363 8.85 540 8-85.717 8.85 893 8.86 069 |
178 177 177 176 176 |
1.14 637 1.14 460 1.14 283 1.14 107 I-I3 93i |
9-99 890 9-99 889 9.99 888 9-99 887 9.99 886 |
55 54 53 52 Si |
9 10 20 30 40 |
27.0 30.0 6o.O 90.0 I2O.O |
26.6 29-5 59-° 88.5 118.0 |
26.1 29.0 58.0 87.0 116.0 |
10 ii 12 13 14 |
8.86 128 8.86 301 8.86 474 8.86 645 8.86 816 |
173 173 173 171 171 |
8.86 243 8.86 417 8.86 591 8.86 763 8.86 935 |
*74 174 174 172 172 |
1.13 757 I.I3 583 1.13 409 1.13 237 1.13 065 |
9-99 885 9-99 884 9-99 883 9.99 882 9.99 881 |
5O 49 48 47 46 |
5° 6 7 8 |
171 I7.I 20.0 22.8 |
X47-S 169 16.9 19.7 22.5 |
I45-° 167 16.7 19-5 22.3 |
15 16 17 18 19 |
8.86 987 8.87 156 8.87 325 8.87 494 8.87 661 |
171 169 169 169 167 ififi |
8.87 106 8.87 277 8.87 447 8.87 616 8.87 785 |
171 171 170 J69 169 |
1. 12 894 1. 12 723 i.i2 553 1. 12 384 1. 12 215 |
9.99 880 9-99 879 9-99 879 9.99 878 9.99 877 |
45 44 43 42 4i |
9 10 20 30 40 |
25-7 28.5 57-0 85-5 114.0 |
25-4 28.2 56.3 84.5 112.7 T in R |
25.1 27.8 55-7 83-5 111.3 |
20 21 22 23 24 |
8.87 829 8.87 995 8.88 161 8.88 326 8.88 490 |
166 166 165 164 |
8.87 953 8.88 120 8.88 287 8.88 453 8.88 618 |
167 167 166 165 |
1. 12 047 I. II 880 I. II 713 i. ii 547 i. n 382 |
9.99 876 9-99 875 9.99 874 9-99 873 9.99 872 |
40 39 38 37 36 |
5° 6 7 8 |
142.5 165 16.5 19-3 22.0 |
140.8 I63 I6.3 19.0 21.7 |
139.2 1 60 16.0 18.7 21.3 |
25 26 27 28 29 |
8 88 654 8.88 817 8.88 980 8.89 142 8.89 304 |
163 163 162 162 160 |
8.88 783 8.88 948 8.89 in 8.89 274 8.89 437 |
105 165 163 163 163 161 |
i. n 217 i. n 052 I. 10 889 i. 10 726 i.io 563 |
9-99 871 9-99 870 9 99 869 9.99 868 9-99 867 |
35 34 33 32 3i |
9 10 20 3° 40 |
24.8 27-5 55-0 82.5 IIO.O |
24-5 27.2 54-3 81.5 108.7 |
24.0 26.7 53-3 80.0 106.7 |
30 3i 32 33 34 |
8.89 464 8.89 625 8.89 784 8.89 943 8.90 102 |
161 159 159 J59 |
8.89 598 8.89 760 8.89 920 8.90 080 8.90 240 |
162 160 160 160 |
i.io 402 i.io 240 i.io 080 1.09 920 1.09 760 |
9.99 866 9-99 865 9-99 864 9-99 863 9.99 862 |
30 29 28 27 26 |
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J37-5 i57 iS-7 18.3 20.9 |
I35-° 155 15-5 18.1 20.7 |
J33-3 153 15-3 17.9 20.4 |
35 36 37 38 39 |
8.90 260 8.90 417 8.90 574 8.90 730 8.90 885 |
158 157 »57 156 155 |
8.90 399 8.90 557 8.90 715 8.90 872 8.91 029 |
T59 158 158 157 157 tcfi |
1.09 60 1 1.09 443 1.09 285 1.09 128 i. 08 971 |
9 99 861 9.99 860 9-99 859 9-99 858 9-99 857 |
25 24 23 22 21 |
9 10 20 30 40 |
23.6 26.2 52.3 78.5 104.7 |
23-3 25-8 51-7 77-5 103-3 |
23.0 25-5 51.0 76.5 102.0 |
40 4i 42 43 44 |
8.91 040 8.91 195 8.91 349 8.91 502 8-91 655 |
!55 »55 *54 153 »53 |
8.91 185 8.91 340 8.91 495 8.91 650 8.91 803 |
155 155 155 153 |
1.08 815 i. 08 660 i. 08 505 i. 08 350 1.08 197 |
9-99 856 9-99 855 9-99 854 9-99 853 9-99 852 |
20 19 18 17 16 |
b° 6 7 8 |
130.0 151 I5A I7.6 20.1 |
149 14.9 17-4 19.9 |
I27-5 147 14.7 17.2 19.6 |
45 46 47 48 49 |
8.91 807 8.91 959 8.92 no 8.92 261 8.92 411 |
152 152 151 151 150 |
8.91 957 8.92 no 8.92 262 8.92 414 8.92 565 |
X54 153 i52 152 *5i |
i. 08 043 1.07 890 1.07 738 1.07 586 1-07 435 |
9-99 851 9 99 850 9-99 848 9-99 847 9.99 846 |
15 14 13 12 II |
9 10 20 30 40 |
22.7 25-2 50-3 75-5 100.7 |
22.4 24.8 49-7 74-5 99-3 |
22.1 24-5 49.0 73-5 98.0 |
50 Si 52 53 54 |
8.92 561 8.92 710 8.92 859 893007 8-93 154 |
150 *49 1 49 148 M7 |
8.92 716 8.92 866 8.93 016 8-93 I65~ 8.93 313 |
X5X 150 150 149 148 |
1.07 284 1.07 134 i. 06 984 1.06 835 i. 06 687 |
9-99 845 9-99 844 9-99 843 9.99 842 9-99 841 |
10 9 8 7 6 |
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146 6 14- 7 17- 8 19- |
a 6 0.2 0 0.2 5 0.3 |
122.5 i O.I O.I O.I |
55 56 57 58 59 |
8.93 3oi 8.93 448 8-93 594 8.93 740 8.93 885 |
'47 '47 146 146 MS |
8.93 462 8.93 609 8-93 756 8 93 903 8.94 049 |
J49 »47 »47 »47 146 |
1.06 538 1.06 391 i. 06 244 i. 06 097 1-05 951 |
9-99 840 9-99 839 9.99 838 9-99 837 9-99 836 |
5 4 3 2 I |
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8.94 195 |
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8.94 030 8.94 174 8.94 317 8.94 461 8.94 603 |
144 143 i44 142 |
8.94 195 8.94 340 8.94 485 8.94 630 8-94 773 |
145 145 145 143 |
1.05 805 1.05 660 1.05 5i5 1.05 370 1.05 227 |
9-99 834 9-99 833 9-99 832 9.99 831 9-99 830 |
6O 59 58 | |
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8.94 746 8.94 887 8.95 029 8.95 170 8-95 3io |
141 142 141 140 |
8.94 917 8.95 060 8.95 202 8-95 344 8.95 486 |
143 142 142 142 |
1.05 083 1.04 940 1.04 798 1.04 656 1.04 514 |
9-99 829 9.99 828 9.99 827 9-99 825 9-99 824 |
55 54 53 52 5i |
9 10 20 30 40 |
21.8 24.2 48.3 72.5 96.7 I2O 8 |
21-5 23-8 47-7 71.5 95-3 |
21.2 23-5 47.0 70.5 94.0 117 ^ |
10 ii 12 13 14 |
8-95 450 8-95 589 8.95 728 8-95 867 8.96 005 |
139 139 139 138 j-,0 |
8.95 627 8-95 767 8.95 908 8.96 047 8.96 187 |
140 141 139 140 Tl8 |
1-04 373 1.04 233 1.04 092 1-03 953 1.03 813 |
9-99 823 9.99 822 9.99 821 9.99 820 9-99 819 |
50 49 48 47 46 |
6 7 8 |
139 13.9 16.2 18.5 |
138 13-8 16.1 18.4 |
I36 13-6 15-9 18.1 |
15 16 17 18 19 |
8.96 143 8.96 280 8.96 417 8.96 553 8.96 689 |
137 137 136 136 176 |
8.96 325 8 96 464 8.96 602 8.96 739 8.96 877 |
I3° 139 138 137 138 lift |
1.03 675 1.03 536 1.03 398 1.03 261 1.03 123 |
9-99 817 9.99 816 9-99 815 9-99 814 9 99 813 |
45 44 43 42 4i |
9 10 20 30 40 |
20.9 23.2 46.3 69.5 92.7 TTC 8 |
20.7 23.0 46.0 69.0 92.0 |
20.4 22.7 45-3 68.0 90.7 |
2O 21 22 23 24 |
8.96 825 8.96 960 8-97 095 8.97 229 8-97 363 |
135 J35 134 J34 |
8.97 013 8.97 150 8.97 285 8.97 421 8-97 556 |
137 135 136 135 |
1.02 987 1.02 850 1.02 715 1.02 579 1.02444 |
9.99 812 9.99 810 9.99 809 9.99 808 9.99 807 |
40 39 38 P |
5° 6 7 8 |
135 13-5 15.8 18.0 |
133 13-3 15-5 17.7 |
iAO J 131 I3-I 15-3 17.5 |
25 26 27 28 29 |
8.97 496 8.97 629 8.97 762 8.97 894 8.98 026 |
133 133 132 132 |
8.97 691 8.97 825 8-97 959 8.98 092 8.98 225 |
134 134 133 133 |
1.02 309 1.02 175 1.02 041 i.oi 908 i. oi 775 |
9.99 806 9-99 804 9.99 803 9.99 802 9.99 801 |
35 34 33 32 3i |
9 10 20 30 40 |
20.3 22.5 45-0 67.5 90.0 |
20.0 22.2 44-3 66.5 88.7 |
19.7 21.8 43-7 65.5 87.3 |
30 3i 32 33 34 |
.8.98 157 8.98 288 8.98 419 8.98 549 8.98 679 |
131 131 130 130 |
8.98 358 8.98 490 8.98 622 8.98 753 8.98 884 |
J33 132 132 »3i 131 |
i.oi 642 i.oi 510 i.oi 378 i.oi 247 i.oi 116 |
9.99 800 9.99 798 9-99 797 9-99 796 9-99 795 |
30 29 28 27 26 |
Su 6 7 8 |
112.5 129 12.9 iS-i 17.2 |
128 12.8 14.9 17.1 |
126 12.6 14.7 16.8 |
H 37 38 39 |
8.98 808 8.98 937 8.99 066 8.99 194 8.99 322 |
129 129 128 128 128 |
8.99 015 8-99 145 8.99 275 8.99 405 8-99 534 |
I31 130 130 130 129 128 |
i.oo 985 i.oo 855 i.oo 725 i.oo 595 I.OO 466 |
9-99 793 9.99 792 9.99 791 9-99 790 9-99 788 |
25 24 23 22 21 |
9 10 20 30 40 |
19.4 21.5 43-o 64.5 86.0 |
19.2 21.3 42.7 64.0 85.3 |
18.9 21.0 42.0 63.0 84.0 |
40 41 42 43 44 |
8-99 450 8-99 577 8-99 704 8.99 830 8-99 956 |
127 127 126 126 126 |
8.99 662 8-99 79i 8.99 919 9.00 046 9.00 174 |
129 128 127 128 |
i.oo 338 i.oo 209 i.oo 081 0.99 954 0.99 826 |
9-99 787 9.99 786 9-99 785 9-99 783 9-99 782 |
20 19 18 17 16 |
50 6 7 8 |
i°7-5 «5 12.5 14.6 16.7 |
123 12.3 14.4 16.4 |
122 12.2 14.2 I6.3 |
45 46 47 48 49 |
9.00 082 9.00 207 9.00 332 9.00 456 9.00 581 |
125 125 124 125 |
9.00 301 9.00 427 9-00 553 9.00 679 9.00 805 |
126 126 126 126 |
0.99 699 o-99 573 o.99 447 0.99 321 0.99 195 |
9-99 78i 9.99 780 9.99 778 9-99 777 9-99 776 |
IS 14 13 12 II |
9 10 20 3° 40 |
18.8 20.8 41.7 62.5 83-3 |
18.5 20.5 41.0 61.5 82.0 |
I8.3 20.3 40.7 61.0 81.3 |
5O 5i 52 53 54 |
9.00 704 9.00 828 9.00 951 9.01 074 9.01 196 |
124 123 123 122 |
9.00 930 9.01 055 9.01 179 9.01 303 9.01 427 |
125 124 124 124 |
0.99 070 0.98 945 0.98 821 0.98 697 0.98 573 |
9-99 775 9-99 773 9-99 772 9-99 771 9-99 769 |
10 9 8 7 6 |
50 e |
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55 56 57 58 59 |
9.01 318 9.01 440 9.01 561 9.01 682 9.01 803 |
122 121 121 121 |
9.01 550 9.01 673 9.01 796 9.01 918 9.02 040 |
123 123 123 122 122 |
0.98 450 0.98 327 0.98 204 0.98 082 o 97 960 |
9.99 768 9-99 767 9-99 765 9-99 764 9-99 763 |
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9.02 162 9.02 283 9.02 404 9.02 525 9.02 645 |
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0.97 838 0.97 717 0.97 596 0.97 475 0-97 355 |
9.99 761 9-99 76o 9-99 759 9-99 757 9-99 756 |
60 59 58 57 56 |
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120 I2.C I4.c i6.c i8.c 20.C 40.c 6o.c 8o.c IOO.C 117 11.7 13-7 15-6 17.6 19-5 39-o 58.5 78.0 97-5 114 11.4 13-3 15-2 17.1 19.0 38.0 57-0 76.0 95-0 in n. i 13-0 14.8 !6.7 18.5 37-0 55-5 74.0 92.5 108 10.8 12.6 14.4 16.2 18.0 36.0 54-0 72.0 90.0 105 io-5 12.3 14.0 15-8 17-5 35-0 52.5 70.0 87.5 |
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I 7 8 9 |
9.02 520 9.02 639 9.02 757 9.02 874 9.02 992 |
9.02 766 9.02 885 9.03 005 9.03 124 9.03 242 |
0.97 234 0.97 115 0.96 995 0.96 876 0.96 758 |
9-99 755 9-99 753 9-99 752 9-99 75i 9-99 749 |
55 54 53 52 5i |
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1O ii 12 13 14 |
9.03 109 9.03 226 9-03 342 9-03 458 9-03 574 |
9.03 361 9-03 479 9-03 597 9.03 714 9.03 832 |
0.96 639 0.96 521 0.96 403 0.96 286 0.96 168 |
9-99 748 9-99 747 9-99 745 9-99 744 9-99 742 |
5O 49 48 47 46 |
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15 16 17 18 19 |
9.03 690 9.03 805 9.03 920 9.04 034 9.04 149 |
9.03 948 9.04 065 9.04 181 9.04 297 9.04 413 |
0.96 052 o-95 935 0.95 819 0-95 703 0-95 587 |
9-99 74i 9-99 74° 9-99 738 9-99 737 9-99 736 |
45 44 43 42 41 |
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9.04 262 9.04 376 9.04 490 9.04 603 9-04 715 |
9.04 528 9.04 643 9.04 758 9.04 873 9.04 987 |
0.95 472 0-95 357 0.95 242 0.95 127 0.95 013 |
9-99 734 9-99 733 9-99 731 9-99 730 9-99 728 |
40 39 38 37 36 |
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25 26 27 28 29 |
9.04 828 9.04 940 9.05 052 9.05 164 9-05 275 |
9.05 101 9-05 214 9.05 328 9.05 441 9-05 553 |
0.94 899 0.94 786 0.94 672 o-94 559 0.94 447 |
9-99 727 9-99 726 9.99 724 9-99 723 9-99 721 |
35 34 33 32 3i |
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9.05 386 9-05 497 9.05 607 9.05 717 9-05 827 |
9.05 666 9.05 778 9-05 890 9.06 002 9.06 113 |
o-94 334 0.94 222 0.94 no 0.93 998 0.93 887 |
9.99 720 9-99 7i8 9.99 717 9-99 7i6 9 99 714 |
30 29 28 27 26 |
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9-05 937 9.06 046 9-o6 155 9.06 264 9.06 372 |
9.06 224 9-o6 335 9.06 445 9.06 556 9.06 666 |
0.93 776 0.93 665 o-93 555 0-93444 0-93 334 |
9-99 713 9.99711 9-99 7io 9-99 708 9-99 707 |
25 24 23 22 21 |
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9.06 481 9-o6 589 9.06 696 9.06 804 9.06 911 |
9.06 775 9.06 885 9.06 994 9.07 103 9.07 211 |
0.93 225 o-93 "5 0.93 006 0.92 897 0.92 789 |
9-99 705 9-99 704 9-99 702 9-99 7°i 9.99 699 |
20 19 18 17 16 |
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9.07 018 9.07 124 9.07 231 9-07 337 9.07 442 |
9.07 320 9.07 428 9-07 536 9.07 643 9-07 751 |
0.92 680 0.92 572 0.92 464 0-92 357 0.92 249 |
9-99 698 9-99 696 9-99 695 9-99 693 9-99 692 |
15 14 13 12 II |
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9.07 548 9-07 653 9-°7 758 9.07 863 9.07968 |
105 105 105 105 |
9.07 858 9.07 964 9.08 071 9.08 177 9.08 283 |
0.92 142 0.92 036 0.91 929 0.91 823 0.91 717 |
9.99690 9.99 689 9-99 687 9.99 686 9.99 684 |
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9.08 072 9.08 176 9.08 280 9.08 383 9.08 486 |
104 104 103 103 103 |
9-o8 389 9.08 495 9.08 600 9.08 705 9.08 810 |
0.91 611 0-91 505 0.91 400 0.91 295 0.91 190 |
9-99 683 9.99 681 9.99 680 9-99 678 9-99 677 |
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105 104 104 103 |
0.91 086 0.90 981 0.90 877 0.90 773 0.90 670 |
9-99 675 9.99 674 9-99 672 9.99 670 9.99 669 |
60 59 58 57 56 |
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103 103 IO2 103 |
0.90 566 0.90 463 0.90 360 0.90 258 0.90 155 |
9.99 667 9.99 666 9.99 664 9.99 663 9.99 661 |
55 54 53 52 5i |
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9.09 606 9.09 707 9.09 807 9.09 907 9.IO OO6 |
101 IOO IOO 99 |
9.09 947 9.10 049 9.10 150 9.10 252 9-10 353 |
102 101 102 IOI |
0.90 053 0.89 951 0.89 850 0.89 748 0.89 647 |
9-99 659 9.99 658 9-99 656 9-99 655 9-99 653 |
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15 16 17 18 19 |
9.10 106 9.10 205 9.10 304 9.10 402 9.10 501 |
99 99 98 99 |
9.10 454 9-i° 555 9.10 656 9.10 756 9.10 856 |
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0.89 546 0.89 445 0.89 344 0.89 244 0.89 144 |
9.99 651 9-99 650 9.99 648 9.99 647 9-99 645 |
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98 98 98 98 97 |
9.10 956 9.11 056 9-ii 155 9.11 254 9- " 353 |
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0.89 044 0.88 944 0.88 845 0.88 746 0.88 647 |
9-99 643 9-99 642 9.99 640 9-99 638 9-99 637 |
4O 39 38 37 36 |
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25 26 27 28 29 |
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97 97 97 96 97 nfi |
9.11 452 9-ii 551 9.11 649 9. 1 1 747 9. 1 1 845 |
99 99 98 98 98 08 |
0.88 548 0.88 449 0.88 351 0.88 253 0.88 155 |
9-99 635 9-99 633 9.99 632 9-99 630 9-99 629 |
35 34 33 32 3i |
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14.7 16.3 32.7 49.0 65-3 81 7 |
14.6 16.2 32.3 48.5 64.7 80 8 |
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9.11 570 9 ii 666 9.11 761 9.11 857 9.11 952 |
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9- 1 1 943 9.12 040 9.12 138 9.12 235 9.12 332 |
9° 97 98 97 97 06 |
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9.99 627 9-99 625 9-99 624 9.99 622 9.99 620 |
30 29 28 27 26 |
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P 37 38 39 |
9.12 047 9.12 142 9.12 236 9.12 331 9.12 425 |
95 95 94 95 94 |
9.12 428 9.12 525 9.12 621 9.12717 9.12 813 |
9° 97 96 96 96 |
0.87 572 0.87 475 0.87 379 0.87 283 0.87 187 |
9.99 618 9.99 617 9-99 615 9-99 613 9.99 612 |
25 24 23 22 21 |
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40 4i 42 43 44 |
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94 93 94 93 93 |
9.12 909 9.13 004 9.13 099 9-13 194 9.13 289 |
9° 95 95 95 95 |
0.87 091 0.86 996 0.86 901 0.86 806 0.86 711 |
9.99 610 9.99 608 9-99 6°7 9-99 605 9.99 603 |
20 19 18 17 16 |
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93 93 93 92 92 |
9-!3 384 9.13 478 9.13 573 9.13 667 9.13 761 |
95 94 95 94 94 |
0.86 616 0.86 522 0.86 427 0.86 333 0.86 239 |
9.99 601 9.99 600 9-99 598 9.99 596 9-99 595 |
15 14 13 12 II |
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92 92 91 92 9l |
9-i3 854 9.13 948 9 14 041 9-14 134 9.14 227 |
93 94 93 93 93 |
0.86 146 0.86 052 0.85 959 0.85 866 0.85 773 |
9-99 593 9-99 591 9-99 589 9.99 588 9-99 586 |
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9.13 904 9-13 994 9.14085 9-14 175 9.14 266 |
91 90 91 90 91 |
9.14 320 9.14 412 9.14 504 9-14 597 9.14 688 |
93 92 92 93 91 |
0.85 680 0.85 588 0.85 496 0.85 403 0.85 312 |
9-99 584 9-99 582 9-99 58i 9-99 579 9-99 577 |
5 4 3 2 I |
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9.14780 9.14 872 9.14963 9-i5 °54 9-iS 145 |
92 91 9^ 91 91 91 90 91 90 90 89 90 89 90 89 89 88 89 88 88 88 88 88 87 88 87 87 87 86 87 86 86 86 86 86 85 86 85 85 85 85 84 85 84 84 84 84 83 84 83 83 83 83 83 83 82 82 82 82 82 |
0.8S 220 0.85 128 0.85 037 0.84 946 0.84 855 |
9-99 575 9-99 574 9-99 572 9-99 570 9-99 568 |
6O 59 58 57 56 |
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6 7 8 9 |
9.14803 9.14 891 9.14 980 9.15 069 9-i5 157 |
9.15 236 9-i5 327 9-i5 4i7 9-i5 508 9-i5 598 |
0.84 764 0.84 673 0.84 583 0.84 492 0.84 4O2 |
9-99 566 9-99 565 9-99 563 9-99 56i 9-99 559 |
55 54 53 52 5i |
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10 ii 12 J3 14 |
9-i5 245 9-15 333 9.15 421 9.15 508 9-iS 596 |
9.15 688 9-15 777 9.15 867 9-15 956 9.16 046 |
0.84 312 0.84 223 0.84 I33 0.84 044 0-83 954 |
9-99 557 9-99 556 9-99 554 9-99 552 9-99 550 |
50 49 48 47 46 |
||||||||
15 16 17 18 19 |
9-15 683 9.15 770 9-15 857 9-15 944 9.16 030 |
9-i6 135 9.16 224 9.16 312 9.16 401 9.16 489 |
0.83 865 0.83 776 0.83 688 0-83 599 0.83 511 |
9-99 548 9-99 546 9-99 545 9-99 543 9-99 54i |
45 44 43 42 4i |
||||||||
20 21 22 23 24 |
9.16 116 9.16 203 9.16 289 9.16 374 9.16 460 |
9.16 577 9.16 665 9-i6 753 9.16 841 9.16 928 |
0.83 423 0-83 335 0.83 247 0.83 159 0.83 072 |
9-99 539 9-99 537 9-99 535 9-99 533 9-99 532 |
40 39 38 % |
||||||||
25 26 27 28 29 |
9-i6 545 9.16 631 9.16 716 9.16 801 9.16 886 |
9.17 016 9.17 103 9.17 190 9.17 277 9-17 363 |
0.82 984 0.82 897 0.82 810 0.82 723 0.82 637 |
9-99 530 9.99 528 9-99 526 9-99 524 9-99 522 |
35 34 33 32 31 |
||||||||
3O 3i 32 33 34 |
9.16 970 9-17 055 9.17 139 9.17 223 9.17 307 |
9 17 450 9-17 536 9.17 622 9.17 708 9.17 794 |
0.82 550 0.82 464 0.82 378 0.82 292 0.82 206 |
9-99 520 9-99 5i8 9-99 517 9-99 515 9-99 513 |
30 29 28 27 26 |
||||||||
35 36 37 38 39 |
9.17 391 9.17 474 9-17 558 9.17 641 9.17 724 |
9.17 880 9.17 965 9.18 051 9.18 136 9.18 221 |
0.82 120 O.82 035 o 81 949 0.81 864 0.8 1 779 |
9.99 511 9.99 509 9-99 507 9-99 5°5 9-99 503 |
25 24 23 22 21 |
||||||||
40 4i 42 43 44 |
9.17 807 9.17 890 9-17 973 9-i8 055 9.18 137 |
9.18 306 9 18 391 9-i8 475 9.18 560 9.18 644 |
0.81 694 0.81 609 0.81 525 0.81 440 0.81 356 |
9.99 501 9-99 499 9-99 497 9-99 495 9-99 494 |
2O 19 18 17 16 |
||||||||
11 47 48 49 |
9.18 220 9.18 302 9-18 383 9.18 465 9.18 547 |
83 82 8z 82 82 81 81 81 81 81 0- |
9.18 728 9.18 812 9.18 896 9.18 979 9.19 063 |
0.81 272 0.81 188 0.8 1 104 0.81 021 0.80 937 |
9.99 492 9.99 490 9-99 488 9.99 486 9-99 484 |
IS 14 13 12 II |
|||||||
50 5i 52 53 54 |
9.18 628 9.18 709 9.18 790 9.18 871 9-i8 952 |
9.19 146 9.19 229 9.19 312 9-19 395 9.19 478 |
0.80 854 0.80 771 0.80 688 0.80 605 0.80 522 |
9-99 482 9-99 48o 9-99 478 9-99 476 9.99 474 |
10 9 8 7 6 |
||||||||
11 57 58 59 |
9-19 033 9.19 113 9.19 193 9.19 273 9-19 353 |
80 80 80 80 0-. |
9-19 S^i 9.19 643 9.19 725 9.19 807 9.19 889 |
0.80 439 0.80 357 0.80 275 0.80 193 0.80 in |
9-99 472 9-99 470 9 99 468 9.99 466 9-99 464 |
5 4 3 2 I |
|||||||
GO |
'.."- m |
9.19 971 |
0.80 029 |
9-99 462 |
o |
||||||||
L. Cos. j d. |
L. Cotg. c. d.JL.Tang. |
L. Sin. |
f |
Prop. Pts. |
81°
9'
/ |
L. Sin. |
d. |
L.Tang. |
c. d. |
L. Cots. |
JL. Cos. |
Prop. Pts. |
|||||
0 I 2 3 4 |
9-19 433 9-19 513 9.19 592 9.19 672 9-I975I |
80 79 80 79 79 79 79 79 78 78 79 78 78 77 78 78 77 77 77 77 77 77 76 77 -f. |
9.19 971 9.20 053 9-20 134 9.20 216 9.20 297 |
82 81 82 81 81 81 81 81 80 81 80 80 80 80 80 79 80 79 79 79 79 79 78 79 78 78 78 78 78 78 77 78 77 77 77 77 77 76 77 76 76 77 76 76 75 76 75 76 75 75 75 75 75 74 75 74 75 74 74 74 |
0.80 029 0.79 947 0.79 866 0.79 784 0.79 703 |
9.99 462 9-99 460 9-99 458 9.99 456 9-99 454 |
60 59 58 57 56 |
8 6 8 7 S 8 ic |
2 .2 .6 •9 •3 •7 •3 .0 •7 •3 7 7 9 1C ii 13 2C 35 S^ 6 = 7 7 5 1C ii 12 25 38 51 64 7 7 8 10 ii 12 25 37 50 62 3 •3 •5 •7 .0 .2 •3 -5 •7 .8 o 0 0 0 0 I I 2 2 |
{ i c 1C 1: i: 2: 4C 5^ 6; 9 •9 .2 •5 •9 .2 •3 •5 • 7 .8 7 •7 .0 •3 .6 .8 •7 •5 •3 .2 5 •5 .8 .0 •3 •5 .0 •5 .0 •5 7 7 g 9 1C 12 24 3^ 48 6c 3 •3 •4 •4 •5 .0 • 5 .0 •5 |
i 5.i )-5 ).8 J.2 !-5 '.0 '•5 [.0 '•5 7 7 5 1C ii 13 2e 35 52 6 = 7 7 8 1C ii 12 25 38 50 63 7 7 8 9 ii 12 24 37 49 61 2 .2 •4 .6 .8 .0 .0 .0 .0 .0 2 o.: o.: O.' o-: o-: o.; I.C i-: i.; |
so 8.0 9-3 10.7 I2.O 13-3 26.7 40.0 53-3 66.7 8 .8 .1 •4 •7 .0 .0 .0 .0 .0 6 .6 •9 .1 •4 •7 •3 .0 •7 •3 4 •4 .6 •9 .1 •3 •7 .0 •3 •7 7i 7-1 8-3 9-5 10.7 H.8 23-7 35-5 47-3 59-2 z z J 3 J T ) J 7 |
5 6 7 8 9 |
9.19 830 9.19 909 9.19 988 9.20 067 9.20 145 |
9.20 378 9.20 459 9.20 540 9.20 621 9.20 701 |
0.79 622 0.79 541 0.79 460 0.79 379 0.79 299 |
9-99 452 9-99 450 9-99 448 9-99 446 9.99 444 |
55 54 53 52 5i |
9 is 10 13 20 27 30 41 4° 54 50 68 6 7 8 |
||||||
10 ii 12 13 14 |
9.20 223 9.20 302 9.20 380 9.20 458 9-20 535 |
9.20 782 9.20 862 9.20 942 9.21 022 9-21 IO2 |
0.79 218 0.79 138 0.79 058 0.78 978 0.78 898 |
9-99 442 9-99 440 9-99 438 9-99 436 9-99 434 |
50 49 48 47 46 |
|||||||
15 16 17 18 19 |
9.20 613 9.20 691 9.20 768 9-20 845 9.20 922 |
9.21 182 9-21 26l 9-21 341 9.21 420 9.21 499 |
0.78 818 0.78 739 0.78 659 0.78 580 0.78 501 |
9-99 432 9-99 429 9-99 427 9-99 425 9-99 423 |
45 44 43 42 4i |
9 10 20 30 40 CQ |
||||||
2O 21 22 23 24 |
9-20 999 9.21 076 9-21 153 9.21 229 9.21 306 |
9-21 578 9.21 657 9.21 736 9.21 814 9.2! 893 |
0.78 422 0.78 343 0.78 264 0.78 186 0.78 107 |
9-99 421 9-99 419 9-99 417 9-99 415 9-99 413 |
40 39 38 37 36 |
6 8 |
||||||
25 26 27 28 29 |
9.21 382 9.21 458 9-21 534 9.21 610 9.21 685 |
76 76 76 75 76 75 76 75 75 75 74 75 75 74 74 74 74 74 74 73 74 73 73 73 73 73 73 72 73 72 72 73 71 72 72 |
9.21 971 9.22 049 9.22 127 9-22 2O5 9-22 283 |
0.78 029 0.77 951 o.77 873 0-77 795 0.77 717 |
9.99 411 9-99 409 9.99 407 9.99 404 9-99 402 |
35 34 33 32 3i |
9 10 20 30 40 50 6 7 8 9 10 20 30 40 50 7 6 7 7 8 8 9 9 " 10 12 20 24 30 36 40 48 50 60 6 7 8 9 10 20 30 40 50 |
|||||
30 3i 32 33 34 |
9.21 761 9.21 836 9.21 912 9.21 987 9.22 062 |
9.22 361 9.22 438 9-22 516 9-22 593 9.22 670 |
0.77 639 0.77 562 0.77 484 0.77 407 0.77 330 |
9.99 400 9-99 398 9-99 396 9-99 394 9-99 392 |
30 29 28 27 26 |
|||||||
35 36 37 38 39 |
9.22 137 9-22 211 9-22 286 9-22 361 9-22 435 |
9.22 747 9.22 824 9.22 901 9.22 977 9-23 054 |
0.77 253 0.77 176 0.77 099 0.77 023 0.76 946 |
9.99 390 9-99 388 9-99 385 9-99 383 9-99 38i |
25 24 23 22 21 |
|||||||
40 4i 42 43 44 |
9.22 509 9-22 583 9.22 657 9-22 731 9.22 805 |
9.23 130 9.23 206 9.23 283 9-23 359 9-23 435 |
0.76 870 0.76 794 0.76 717 0.76 641 0.76 565 |
9-99 379 9-99 377 9-99 375 9.99 372 9-99 370 |
20 19 18 17 16 |
|||||||
45 46 47 48 49 |
9.22 878 9.22 952 9.23 025 9.23 098 9.23 171 |
9.23 510 9.23 586 9.23 661 9-23 737 9.23 812 |
0.76 490 0.76 414 0.76 339 0.76 263 0.76 188 |
9-99 368 9-99 366 9-99 364 9.99 362 9-99 359 |
15 14 13 12 II |
|||||||
50 Si 52 53 54 |
9.23 244 9-23 317 9.23 390 9.23 462 9-23 535 |
9-23 887 9.23 962 9.24 037 9.24 112 9.24 186 |
0.76 113 0.76 038 o.75 963 0.75 888 0.75 814 |
9-99 357 9-99 355 9-99 353 9-99 35i 9-99 348 |
10 9 8 6 |
|||||||
55 56 57 58 59 |
9.23 607 9.23 679 9-23 752 9.23 823 9-23 895 |
9.24 261 9-24 335 9.24 410 9.24 484 9-24 558 |
0.75 739 0.75 665 0-75 590 0-75 5i6 0.75 442 |
9.99 346 9-99 344 9-99 342 9.99 340 9-99 337 |
5 4 3 2 I |
|||||||
60 |
9.23 967 |
9.24 632 |
0.75 368 |
9-99 335 |
0 |
|||||||
JL. Cos. |
d. |
L,. Cotg. |
C. d. |
L.Tang. |
L. Sin. |
/• |
Prop. Pts. |
8OC
10'
r |
L. Sin. |
d. |
L.Tang. |
c. d. |
L. Cotg. |
L. Cos. |
d. |
Pi |
op. 1 |
*ts. |
|
0 I 2 3 4 |
9.23 967 9.24 039 9.24 no 9.24 181 9-24 253 |
72 71 7* 72 |
9.24 632 9.24 706 9.24 779 9-24 853 9.24 926 |
74 73 74 73 |
0.75 368 0.75 294 0.75 221 0-75 147 o.7S 074 |
9-99 335 9-99 333 9-99 331 9.99 328 9-99 326 |
2 2 3 2 |
60 59 58 57 56 |
6 7 8 |
74 7-4 8.6 9-9 |
73 7-3 8-5 9-7 |
5 6 7 8 9 |
9.24 324 9-24 395 9.24 466 9-24 536 9.24 607 |
71 7i 7i 70 7i |
9.25 ooo 9-25 073 9.25 146 9-25 219 9.25 292 |
74 73 73 73 73 |
0.75 ooo 0.74 927 0.74 854 9.74 781 0.74 708 |
9-99 324 9-99 322 9-99 319 9-99 3J7 9-99 315 |
2 3 2 2 |
55 54 53 52 51 |
y 10 20 30 40 CO |
II. I 12.3 24.7 37-0 49-3 6l 7 |
n.o 12.2 24-3 36.5 48.7- 60 8 |
10 ii 12 13 14 |
9.24 677 9.24 748 9.24 818 9.24 888 9.24 958 |
70 7i 70 TO 70 |
9-25 365 9-25 437 9-25 5io 9-25 582 9-25 655 |
73 72 73 72 73 |
0.74 635 0.74 563 0.74 490 0.74 418 0.74 345 |
9-99 313 9.99 310 9-99 308 9-99 306 9-99 3°4 |
3 2 2 2 |
50 49 48 47 46 |
6 8 |
72 7.2 8.4 9.6 |
7i 7-1 8-3 9-5 |
15 16 17 18 19 |
9.25 028 9.25 098 9.25 168 9-25 237 .9-25 307 |
70 70 69 70 fm |
9.25 727 9-25 799 9.25 871 9-25 943 9.26 015 |
72 72 72 72 72 |
0.74 273 0.74 201 0.74 129 0.74 057 0-73 985 |
9.99 301 9.99 299 9-99 297 9-99 294 9-99 292 |
3 2 2 3 2 |
45 44 43 42 4i |
9 10 20 30 40 CQ |
10.8 12.0 24.0 36.0 48.0 60 o |
10.7 11.8 23-7 35-5 47-3 |
20 21 22 23 24 |
9-25 376 9-25 445 9-25 514 9-25 583 9.25 652 |
09 69 69 69 69 |
9.26 086 9.26 158 9.26 229 9.26 301 9.26 372 |
71 72 7i 72 7i |
0-73 9M 0.73 842 0.73 771 0.73 699 0.73 628 |
9.99 290 9.99 288 9-99 285 9-99 283 9.99 281 |
2 3 2 2 |
40 39 38 1 |
6 7 8 |
70 7.0 8.2 9-3 |
69 6.9 8.1 9-2 |
5 27 28 29 |
9-25 721 9.25 790 9.25 858 9.25 927 9-25 995 |
°9 69 68 69 68 68 |
9.26 443 9.26 514 9.26 585 9.26 655 9.26 726 |
71 71 7i 70 7i |
o.73 557 0.73 486 0-73 415 0-73 345 0.73 274 |
9-99 278 9.99 276 9.99 274 9-99 271 9-99 269 |
2 2 3 2 |
35 34 33 32 .31 |
y 10 20 30 40 CQ |
10.5 11.7 23-3 35-o 46.7 cR q |
10.4 "•5 23.0 34-5 46.0 C,7 e |
30 3i 32 33 34 |
9.26 063 9.26 131 9.26 199 9.26 267 9-26 335 |
68 68 68 68 68 |
9.26 797 9.26 867 9.26 937 9.27 008 9.27 078 |
70 70 7i 70 |
0.73 203 0-73 133 0.73 063 0.72 992 0.72 922 |
9-99 267 9.99 264 9.99 262 9.99 260 9-99 257 |
3 2 2 3 |
30 29 28 27 26 |
6 7 8 |
68 6.8 7-9 9-i |
67 6-7 7-8 8.9 |
35 36 37 38 39 |
9.26 403 9.26 470 9.26 538 9.26 605 9.26 672 |
67 68 67 67 £.- |
9.27 148 9.27 218 9.27 288 9-27 357 9.27 427 |
70 70 70 69 70 |
0.72 852 0.72 782 0.72 712 0.72 643 0.72 573 |
9-99 255 9-99 252 9-99 250 9-99 248 9-99 243 |
3 2 2 3 |
25 24 23 22 21 |
9 10 20 30 40 |
IO.2 "•3 22.7 34-0 45-3 c.6 7 |
IO.I II. 2 22.3 33-5 44-7 re 8 |
40 4i 42 43 44 |
9.26 739 9.26 806 9.26 873 9.26 940 9.27 007 |
O7 67 67 67 67 |
9.27 496 9.27 566 9-27 635 9-27 704 9.27 773 |
09 70 69 69 69 |
0.72 504 0.72 434 0.72 365 0.72 296 0.72 227 |
9-99 243 9-99 241 9-99 238 9-99 236 9-99 233 |
2 3 2 3 |
20 19 18 17 16 |
6 7 8 |
66 6.6 7-7 8.8 |
65 6-5 7.6 8-7 |
45 46 47 48 49 |
9.27 073 9.27 14° 9.27 206 9.27 273 9-27 339 |
67 66 67 66 |
9.27 842 9.27 911 9.27 980 9.28 049 9.28 117 |
69 69 69 69 68 |
0.72 158 0.72 089 0.72 020 0.71 951 0.71 883 |
9-99 231 9-99 229 9.99 226 9-99 224 9.99 221 |
2 3 2 3 |
IS 14 13 12 II |
9 10 20 30 40 |
y-y n.o 22.0 S3-0 44.0 |
9.8 10.8 21.7 32.5 43-3 |
5O 5i 52 53 54 |
9x27 405 9.27 471 9-27 537 9.27 602 9.27 668 |
66 66 65 66 |
9.28 186 9.28 254 9.28 323 9-28 391 9.28 459 |
69 68 69 68 68 |
0.71 814 0.71 746 0.71 677 0.71 609 0.71 541 |
9-99 219 9-99 217 9-99 214 9.99 212 9-99 209 |
2 3 2 3 |
10 9 8 7 6 |
ou 6 \7 8 |
33-v 3 0-3 0.4 0.4 |
a 0.2 O.2 0-3 |
55 56 57 58 59 |
9-27 734 9.27 799 9.27 864 9.27 930 9-27 995 |
65 65 66 65 |
9.28 527 9-28 59? 9.28 662 9.28 730 9.28 798 |
68 67 63 68 fit |
0.71 473 0.71 405 0.71 338 0.71 270 0.71 202 |
9-99 207 9.99 204 9.99 202 9.99 200 9-99 197 |
3 2 2 3 |
5 4 3 a i |
9 10 20 30 40 |
0-5 0-5 z.o 1-5 2.0 2 ^ |
0-3 0-3 0.7 1.0 i-3 I 7 |
GO |
9.28 060 |
°5 |
9.28 865 |
07 |
0.71 135 |
9-99 195 |
0 |
||||
L. Cos. |
d. |
L. Cotg. |
c. d. |
L.TniiK. |
L. Sin. |
d. |
r |
Pr |
op. 1 |
Ms. |
79<
11'
33
/• |
L. Sin. |
d. |
L.Tang. |
c. d.! L. Cotg. |
L. Cos. |
d. |
Prop. Pts. |
||||
o I 2 3 4 |
9.28 060 9.28 125 9.28 190 9.28 254 9.28 319 |
65 65 64 65 65 64 64 65 64 64 64 64 63 64 64 63 63 64 63 63 63 63 63 62 |
9.28 865 9-28 933 9.29 ooo 9.29 067 9.29 134 |
68 67 67 67 67 67 67 67 66 67 66 67 66 66 66 66 66 66 66 65 66 65 65 66 65 65 65 65 65 64 65 64 65 64 64 65 64 64 64 64 63 64 63 64 63 64 63 63 63 63 63 63 63 62 63 62 63 62 62 62 |
0-71 135 0.71 067 0.71 ooo 0.70 933 0.70 866 |
9-99 195 9.99 192 9.99 190 9.99 187 9.99 185 |
3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 ,3 2 3 2 3 3 2 3 2 3 2 3 3 2 3 2 3 3 2 3 2 3 3 2 3 3 2 3 3 2 3 3 2 3 3 2 3 3 |
60 59 58 57 56 |
6 7 8 9 10 20 30 40 50 6 7 8 9 10 "20 3° 40 50 6 7 8 9 10 20 30 40 50 6 7 8 9 10 20 30 40 50 6 7 8 9 10 20 30 40 50 6 8 9 10 20 30 40 50 |
68 6.8 7-9 9-i 10.2 "•3 22.7 34-° 45-3 56.7 66 6.6 7-7 8.8 9-9 II.O 22.0 33-° 44.0 55.0 64 6.4 7-5 8-5 9.6 10.7 21.3 32.0 42.7 53-3 62 6.2 7.2 8-3 9-3 10.3 20.7 31.0 41-3 51-7 60 6.0 7.0 8.0 9.0 IO.O 20.0 30.0 4O.O 50.0 3 o-3 0.4 0.4 0.5 o.S I.O Jt-S 2.0 2.5 |
67 6-7 7.8 8.9 10. 1 II.2 22.3 33-5 44-7 55-8 65 6-5 7.6 8.7 9-8 10.8 21.7 32.5 43-3 54-2 63 6-3 7-4 8.4 9-5 10.5 21.0 31-5 42.0 52.5 61 6.1 7-1 8.1 9-2 10.2 20.3 30.5 40.7 50.8 59 5-9 6-9 7-9 8.9 9.8 19.7 29-5 39-3 49.2 2 0.2 0.2 0-3 °-3 0-3 0.7 I.O i-3 1-7 |
6 .7 8 '9 |
9.28 384 9.28 448 9.28 512 9.28 577 9.28 641 |
9.29 2OI 9.29 268 9-29 335 9.29 402 9.29 468 |
0.70 799 0.70 732 0.70 665 0.70 598 0.70 532 |
9.99 182 9.99 180 9.99 177 9-99 175 9.99 172 |
55 54 53 52 5i |
||||||
10 ii 12 13 14 |
9.28 705 9.28 769 9.28 833 9.28 896 9.28 960 |
9-29 535 9.29 601 9.29 668 9-29 734 9.29 800 |
0.70 465 .0-7° 399 0.70 332 0.70 266 0.70 200 |
9.99 170 9.99 167 9.99 165 9.99 162 9.99 160 |
50 49 48 47 46 |
||||||
15 16 17 18 19 |
9.29 024 9.29 087 9-29 150 9.29 214 9.29 277 |
9.29 866 9.29 932 9.29 998 9.30 064 9.30 130 |
0.70 134 0.70 068 0.70 002 0.69 936 0.69 870 |
9-99 157 9-99 155 9.99 152 9-99 ISO 9.99 147 |
45 44 43 42 4i |
||||||
20 21 22 23 24 |
9.29 340 9.29 403 9.29 466 9.29 529 9.29 591 |
9-3° 195 9.30 261 9.30 326 9-30 391 9-30 457 |
0.69 805 0.69 739 0.69 674 0.69 609 0-69 543 |
9-99 145 9-99 142 9-99 140 9-99 137 9-99 135 |
40 39 38 37 36 |
||||||
25 26 27 28 29 |
9.29 654 9.29 716 9.29 779 9.29 841 9.29 903 |
°3 62 63 62 62 |
9.30 522 9-30 587 9.30 652 9.30 717 9.30 782 |
0.69 478 0.69 413 0.69 348 0.69 283 0.69 218 |
9-99 132 9-99 130 9-99 127 9.99 124 9.99 122 |
35 34 33 32 3i |
|||||
30 3i 32 33 34 |
9.29 966 9.30 028 9.30 090 9-30 151 9.30 213 |
°3 62 62 61 62 |
9.30 846 9.30 911 9-30 975 9.31 040 9.31 104 |
0.69 154 0.69 089 0.69 025 0.68 960 0.68 896 |
9.99 119 9.99 117 9.99 114 9.99 112 9.99 109 |
30 29 28 27 26 |
|||||
11 37 38 39 |
9-30 275 9-30 336 9-30 398 9-30 459 9.30 521 |
61 62 6x 62 61 61 61 61 61 61 60 61 60 61 60 61 60 60 60 60 59 60 60 59 60 |
9.31 168 9-31 233 9.31 297 9.31 361 9-31 425 |
0.68 832 0.68 767 0.68 703 0.68 639 0.68 575 |
9.99 106 9-99 104 9.99 101 9.99 099 9.99 096 |
25 24 23 22 21 |
|||||
40 4i 42 43 44 |
9.30 582 9-30 643 9.30 704 9-30 765 9.30 826 |
9.31 489 9-3i 552 9.31 616 9.31 679 9-31 743 |
0.68 511 0.68 448 0.68 384 0.68 321 0.68 257 |
9.99 093 9-99 °9i 9.99 088 9.99 086 9.99 083 |
2O 19 18 17 16 |
||||||
45 46 47 48 49 |
9.30 887 9-30 947 9.31 008 9.31 068 9.31 129 |
9.31 806 9.31 870 9-3i 933 9.31 996 9-32 059 |
0.68 194 0.68 130 0.68 067 0.68 004 0.67 941 |
9.99 080 9-99 078 9-99 075 9-99 072 9.99 070 |
IS 14 13 12 II |
||||||
50 5i 52 53 54 |
9.31 189 9.31 250 9.31 310 9-31 370 9-3i 430 |
9.32 122 9.32 185 9.32 248 9.32 311 9-32 373 |
0.67 878 0.67 815 0.67 752 0.67 689 0.67 627 |
9.99 067 9.99 064 9.99 062 9-99 059 9.99 056 |
10 9 8 6 |
||||||
55 56 57 58 59 |
9.31 490 9-3i 549 9.31 609 9.31 669 9.31 728 |
9-32 436 9.32 498 9.32 561 9.32 623 9.32 685 |
0.67 564 0.67 502 0.67 439 0.67 377 0.67 315 |
9-99 054 9.99 051 9.99 048 9.99 046 9-99 043 |
5 4 3 2 I |
||||||
60 |
9.31 788 |
9-32 747 |
0.67 253 |
9.99 040 |
0 |
||||||
L. Cos. |
d. |
L. Cotg. c. d. |
L.Tang. |
L. Sin. |
d. |
/• |
Prop. Pts. |
78(
34
/• |
1 . Sin. |
d. |
L.Taug. c. d. |
L. Cotg. |
L. Cos. |
d. |
Prop. Pts. |
||||
0 I 2 3 4 |
9.31 788 9.31 847 9.31 907 9.31 966 9.32 025 |
59 60 59 59 59 59 59 59 58 59 59 58 58 59 58 58 58 58 58 58 58 57 58 57 58 57 57 58 57 57 57 56 57 57 57 56 57 56 56 57 56 56 56 56 56 56 55 56 55 56 55 56 55 55 55 55 55 55 55 |
9-32 747 9.32 810 9-32 872 9-32 933 9-32 995 |
63 62 61 62 62 62 61 62 61 62 61 61 61 61 61 61 61 61 60 61 60 61 60 60 61 60 60 60 60 60 59 60 60 59 60 59 59 59 60 59 59 59 59 58 59 59 58 59 58 59 58 58 58 58 58 58 58 58 58 57 |
0.67 253 0.67 190 0.67 128 0.67 067 0.67 005 |
9.99 040 9.99 038 9-99 035 9-99 032 9-99 030 |
2 3 3 2 3 3 2 3 3 3 2 3 3 3 2 3 3 3 2 3 3 3 2 3 3 3 2 3 3 3 3 2 3 3 3 3 3 2 3 3 3 3 3 2 3 3 3 3- 3 |
60 59 58 57 56 |
6 7 8 |
63 6-3 7-4 8.4 |
62 6.2 7.2 8-3 93 10.3 20.7 31-0 41-3 5i-7 60 6.0 7.0 8.0 9.0 10.0 20.0 3O.O 40.0 50.0 9 •9 •9 •9 •9 .8 •7 •5 •3 .2 57 5-7 6-7 7-6 8.6 9-5 19.0 28.5 38.0 47-5 55 % 7-3 8-3 9.2 18.3 27-5 36.7 45-8 3 0.2 0.2 0-3 0-3 0-3 0.7 I.O i-3 1-7 |
6 7 8 9 |
9.32 084 9-32 M3 9.32 202 9.32 261 9-32 319 |
9-33 057 9-33 H9 9-33 180 9-33 242 9-33 303 |
0.66 943 0.66 881 0.66 820 0.66 758 0.66 697 |
9.99 027 9.99 024 9.99 022 9.99 019 9.99 016 |
55 54 53 52 5i |
9 10 20 3° 40 |
9-5 10.5 21.0 31-5 42.O 52.5 61 6.1 7-i 8.1 9-2 10.2 20.3 30.5 40.7 50.8 5 6 e 7 * 8 7 9 * 10 9 20 19 30 29 *o 35 50 49 58 5-8 6.8 7-7 8.7 9-7 19-3 29.0 38.7 48.3 56 5-6 6.5 il 93 18.7 28.0 37-3 46.7 3 0-3 0.4 0.4 0-5 0-5 I.O i-5 2.0 3-5 |
||||
10 ii 12 13 14 |
9-32 378 9-32 437 9-32 495 9-32 553 9.32 612 |
9 33 365 9-33 426 9-33 487 9-33 548 9-33 609 |
0.66 635 0.66 574 0.66 513 0.66 452 0.66 391 |
9-99 013 9.99 on 9.99 008 9-99 005 9.99 002 |
50 49 48 47 46 |
5° 6 7 8 |
|||||
15 16 17 18 19 |
9.32 670 9.32 728 9.32 786 9.32 844 9.32 902 |
9-33 670 9-33 731 9-33 792 9-33 853 9-33 913 |
0.66 330 0.66 269 0.66 208 0.66 147 0.66 087 |
9.99000 9.98 997 9.98 994 9.98 991 9.98 989 |
45 44 43 42 4i |
9 10 20 3° 40 |
|||||
20 21 22 23 24 |
9-32 960 9.33 018 9-33 075 9-33 133 9-33 190 |
9-33 974 9-34 °34 9-34 °95 9-34 155 9-34 215 |
0.66 026 0.65 966 0.65 905 0.65 845 0.65 785 |
9.98 986 9.98 983 9.98 980 9.98 978 9-98 975 |
4O 39 38 | |
5° 6 7 8 9 10 20 30 40 50 6 7 8 9 10 20 30 40 50 6 7 8 9 10 20 30 40 50 |
|||||
25 26 27 28 29 |
9-33 248 9-33 305 9-33 362 9-33 420 9-33 477 |
9.34 276 9-34 336 9-34 396 9-34 456 9-34 5i6 |
0.65 724 0.65 664 0.65 604 0-65 544 0.65 484 |
9.98 972 9.98 969 9.98 967 9.98 964 9.98 961 |
35 34 33 32 3i |
||||||
30 3i 32 33 34 |
9-33 534 9-33 59i 9-33 647 9-33 704 9-33 76i |
9-34 576 9-34 635 9-34 695 9-34 755 9-34 814 |
0.65 424 0.65 365 0.65 305 0.65 245 0.65 186 |
9.98 958 9-98 955 9-98 953 9.98 950 9.98 947 |
3O 29 28 27 26 |
||||||
35 36 11 39 |
9-33 818 9-33 874 9-33 93i 9-33 987 9-34 043 |
9-34 874 9-34 933 9-34 992 9-35 051 9-35 I" |
0.65 126 0.65 067 0.65 008 0.64 949 0.64 889 |
9.98 944 9.98 941 9.98 938 9.98 936 9-98 933 |
25 24 23 22 21 |
||||||
40 4i 42 43 44 |
9-34 ioo 9-34 156 9-34 212 9-34 268 9-34 324 |
9-35 170 9-35 229 9-35 288 9-35 347 9-35 405 |
0.64 830 0.64 771 0.64 712 0.64 653 0.64 595 |
9.98 930 9.98 927 9.98 924 9.98 921 9.98 919 |
20 19 18 17 16 |
||||||
;t 47 48 49 |
9-34 38o 9-34 436 9-34 49i 9-34 547 9-34 602 |
9-35 464 9-35 523 9-35 58i 9-35 640 9-35 698 |
0.64 536 0.64 477 0.64 419 0.64 360 0.64 302 |
9.98 916 9.98 913 9.98 910 9.98 907 9.98 904 |
15 14 13 12 II |
||||||
:>o 51 52 53 54 |
9-34 658 9-34 713 9-34 769 9-34 824 9-34 879 |
9-35 757 9-35 815 9-35 873 9-35 93i 9-35 989 |
0.64 243 0.64 185 0.64 127 0.64 069 0.64 on |
9.98 901 9.98 898 9.98 896 9.98 893 9.98 890 |
3 2 3 3 |
10 9 8 7 6 |
|||||
Cn Cn Cn Cn en \O oovj O\cn |
9-34 934 9-34 989 9-35 044 9-35 099 9-35 154 |
9.36 047 9.36 105 9.36 163 9.36 221 9.36 279 |
0.63 953 0.63 895 0.63 837 0.63 779 0.63 721 |
9.98 887 9.98 884 9.98 881 9.98 878 9.98 875 |
3 3 3 3 3 |
5 4 3 2 I |
|||||
60 |
, - . - |
9-36 S36 |
0.63 664 |
9.98 872 |
o |
||||||
L. Cos. d. |
L. < otg. c. d. L.Tang. |
L. Sin. |
d. |
r |
Prop. Pts. |
77<
35
/• |
L. Sin. |
d. |
L.Taug. |
c. d |
L. Cotg |
L. Cos. |
d. |
P] |
rop. |
Pts. |
|
o I 2 3 4 |
9-35 209 9-35 263 9-35 3i8 9-35 373 9-35 427 |
54 55 55 54 |
9-36 336 9-36 394 9-36 452 9-36 509 9.36 566 |
58 58 57 57 eg |
0.63 664 0.63 606 0.63 548 0.63 491 0-63 434 |
9.98 872 9.98 869 9.98 867 9.98 864 9.98 861 |
3 2 3 3 |
GO 59 58 57 56 |
6 •7 8 |
58 5-8 6.8 7-7 |
57 5-7 6.7 7-6 |
5 6 7 8 9 |
9-35 48i 9-35 536 9-35 590 9-35 644 9-35 698 |
55 54 54 54 |
9.36 624 9.36 681 9-36 738 9-36 795 9.36 852 |
57 57 57 57 |
0.63 376 0.63 319 0.63 262 0.63 205 0.63 148 |
9.98 858 9-98 855 9-98 852 9.98 849 9.98 846 |
3 3 3 3 |
55 54 53 52 5i |
9 10 20 30 40 |
8.7 9-7 19-3 29.0 38.7 /ifi o |
8.6 9-5 19.0 28.5 38.0 |
1O ii 12 13 14 |
9-35 752 9-35 806 9-35 860 9-35 9H 9-35 963 |
54 54 54 54 |
9.36 909 9.36 966 9-37 023 9-37 080 9-37 137 |
57 57 57 57 rfi |
0.63 091 0.63 034 0.62 977 0.62 920 0.62 863 |
9.98 843 9.98 840 9.98 837 9.98 834 9.98 831 |
3 3 3 3 |
50 49 48 47 46 |
5° 6 7 8 |
4° o 56 5-6 6-5 7-5 |
47-5 55 5-5 6.4 7-3 |
15 16 17 18 19 |
9.36 022 9-36 075 9.36 129 9.36 182 9.36 236 |
53 54 53 54 |
9-37 193 9-37 250 9-37 3°6 9-37 363 9-37 419 |
57 56 57 56 |
0.62 807 0.62 750 0.62 694 0.62 637 0.62 581 |
9.98 828 9.98 825 9.98 822 9.98 819 9.98 816 |
3 3 3 3 |
45 44 43 42 4i |
9 10 20 30 40 |
8.4 9-3 18.7 28.0 |
8-3 9.2 18.3 27.5 36.7 A C 8 |
2O 21 22 23 24 |
9.36 289 9-36 342 9-36 395 9.36 449 9.36 502 |
53 53 54 53 |
9-37 476 9-37 532 9-37 588 9-37 644 9-37 700 |
56 56 56 56 cfi |
0.62 524 0.62 468 0.62 412 0.62 356 0.62 300 |
9.98 813 9.98 810 9.98 807 9.98 804 9.98 801 |
3 3 3 3 |
4O 39 38 37 36 |
Ou |
46.7 5 6 c 7 ^ 8 7 |
45-° 4 4 •3 .2 |
25 26 27 28 29 |
9-36 555 9.36 608 9.36 660 9-36 713 9.36 766 |
53 52 53 53 |
9-37 756 9-37 812 9-37 868 9-37 924 9-37 980 |
56 56 56 56 |
0.62 244 0.62 188 0.62 132 0.62 076 0.62 020 |
9.98 798 9-98 795 9.98 792 9.98 789 9.98 786 |
3 3 3 3 |
35 34 33 32 3i |
, |
9 iJ [o 9 20 18 50 27 (.0 36 |
.1 .O .0 .0 .0 |
3O 3i 32 33 34 |
9.36 819. 9.36 871 9.36 924 9.36 976 9-37 028 |
52 53 52 52 |
9-38 035 9-38 091 9.38 147 9.38 202 9-38 257 |
56 56 55 55 rf) |
0.61 965 0.61 909 0.61 853 0.61 798 0.61 743 |
9.98 783 9.98 780 9.98 777 9.98 774 9.98 771 |
3 3 3 3 |
30 29 28 27 26 |
6 7 8 |
>° 45 53 5-3 6.2 7-i |
5» 5-2 6.1 6.9 |
35 36 37 38 39 |
9-37 081 9-37 133 9-37 185 9-37 237 9-37 289 |
52 52 52 52 |
9-38 313 9.38 368 9-38 423 9-38 479 9-38 534 |
55 55 56 55 |
0.61 687 0.61 632 0.61 577 0.61 521 0.61 466 |
9.98 768 9.98 765 9.98 762 9-98 759 9.98 756 |
3 3 3 3 |
25 24 23 22 21 |
9 10 20 3° 40 |
8.0 8.8 17.7 26.5 35-3 |
7-8 8-7 17-3 26.0 34-7 |
40 4i 42 43 44 |
9-37 341 9-37 393 9-37 445 9-37 497 9-37 549 |
52 52 52 52 |
9-38 589 9.38 644 9.38 699 9-38 754 9.38 808 |
55 55 55 54 |
0.61 411 0.61 356 0.61 301 0.61 246 0.61 192 |
9-98 753 9.98 750 9.98 746 9-98 743 9.98 740 |
3 4 3 3 |
20 19 18 17 16 |
5° 6 7 8 |
44.2 5i 5-i 6.0 6.8 |
43-3 4 0.4 0.5 °-5 |
45 46 47 48 49 |
9-37 600 9-37 652 9-37 703 9-37 755 9-37 806 |
52 5i 52 5i |
9-38 863 9.38 918 9.38 972 9-39 027 9.39 082 |
55 54 55 55 |
0.61 137 0.61 082 0.61 028 0.60 973 0.60 918 |
9-98 737 9-98 734 9.98 731 9.98 728 9.98 725 |
3 3 3 3 |
15 14 13 12 II |
9 10 20 3° 40 |
7-7 8-5 17.0 25.5 34-0 |
0.6 0.7 1-3 2.0 2.7 |
50 Si 52 53 54 |
9-37 858 9-37 9°9 9-37 960 9.38 on 9.38 062 |
51 5i Si 5i |
9-39 I36 9-39 19° 9-39 245 9-39 299 9-39 353 |
54 54 55 54 54 |
0.60 864 0.60 810 0.60 755 0.60 701 0.60 647 |
9.98 722 9.98 719 9-98 715 9.98 712 9.98 709 |
3 3 4 3 3 |
10 9 8 7 6 |
5° 6 7 8 |
42.5 3 0.3 0.4 0.4 |
3-3 2 0.2 0.2 0-3 |
55 56 57 58 59 |
9-38 113 9.38 164 9-38 215 9.38 266 9-38 317 |
Si 5i 5i 51 |
9-39 407 9-39 461 9-39 515 9-39 569 9-39 623 j |
54 54 54 54 |
0.60 593 0.60 539 0.60 485 0.60 431 0.60 377 |
9.98 706 9.98 703 9.98 700 9.98 697 9 98 694 |
3 3 3 3 3 |
5' 4 3 2 I |
9 10 20 30 40 |
o-5 0-5 I.O 1-5 2.0 |
0-3 0-3 0.7 I.O i-3 |
60 |
9.38 368 |
9-39 677 |
54 |
0.60 323 |
9.98 690 |
4 |
0 |
50 |
2-5 |
I-7 |
|
L. Cos. |
d. |
L.Cotg. |
c. d. |
L.Tang. |
L. Sin. |
d. |
/• |
Pr |
>|). I |
•ts. |
76C
r |
L. Sin. |
d. |
L.Tang. |
c. d. |
L. Cotg. |
L. Cos. |
d. |
Pi |
op. |
Pts. |
|
0 i 2 3 4 |
9.38 368 9.38 418 9.38 469 9-38 519 9-38 57o |
50 51 50 5i |
9.39 677 9-39 73i 9-39 785 9-39 838 9.39 892 |
54 54 53 54 |
0.60 323 0.60 269 0.60 215 0.60 162 0.60 108 |
9.98 690 9.98 687 9.98 684 9.98 681 9.98 678 |
3 3 3 3 |
GO 59 58 57 56 |
6 7 |
54 5-4 6.3 |
53 5-3 6.2 |
5 6 8 9 |
9.38 620 9.38 670 9.38 721 9.38 771 9.38 821 |
50 5i 5o 50 |
9-39 945 9-39 999 9.40 052 9.40 106 9.40 159 |
54 53 54 53 |
0.60 055 0.60 ooi 0.59 948 0.59 894 0.59 841 |
9.98 675 9.98 671 9.98 668 9.98 665 9.98 662 |
4 3 3 3 |
55 54 53 52 5i |
8 9 10 20 30 |
7-2 8.1 9.0 18.0 27.0 |
7-1 8.0 8.8 17.7 26.5 |
10 ii 12 13 14 |
9-38 871 9.38 921 9.38 971 9-39 02! 9-39 071 |
So 50 50 50 |
9.40 212 9.40 266 9.40 319 9.40 372 9.40 425 |
54 53 53 53 |
0.59 788 0-59 734 0.59 681 0.59 628 o-59 575 |
9.98 659 9.98 656 9.98 652 9.98 649 9 98 646 |
3 4 3 3 |
50 49 48 47 46 |
40 50 |
36.0 45-o 5« |
35-3 44.2 5i |
15 16 17 18 19 |
9.39 121 9-39 170 9-39 220 9.39 270 9-39 319 |
49 50 50 49 |
9.40 478 9-40 531 9.40 584 9.40 636 9.40 689 |
53 53 52 53 |
0.59 522 0.59 469 0.59 416 0-59 364 0-59 3" |
9.98 643 9.98 640 9.98 636 9-98 633 9.98 630 |
3 4 3 3 |
45 44 43 42 4i |
6 7 8 9 10 |
5-2 6.1 6.9 7.8 8-7 |
& 6.8 7-7 8-5 |
20 21 22 23 24 |
9-39 369 9-39 4i8 9-39 467 9-39 517 9-39 566 |
5° 49 49 So 49 |
9.40 742 9-40 795 9.40 847 9.40 900 9.40 952 |
53 52 53 S2 |
0.59 258 0.59 205 o-59 153 0.59 100 0.59 048 |
9.98 627 9.98 623 9.98 620 9.98 617 9.98 614 |
4 3 3 3 |
40 39 38 37 36 |
20 30 40 50 |
17-3 26.0 34-7 43-3 |
17.0 25-5 34-o 42-5 |
25 26 27 28 29 |
9-39 615 9.39 664 9-39 713 9.39 762 9-39 8n |
49 49 49 49 |
9.41 005 9.41 057 9.41 109 9.41 161 9.41 214 |
52 52 52 53 |
o-58 995 0-58 943 0.58 891 0.58 839 0.58 786 |
9.98 610 9.98 607 9.98 604 9.98 601 9 98 597 |
3 3 3 4 |
35 34 33 32 3i |
• 6 7 8 |
5° 5-o 5-8 6-7 |
49 4-9 5-7 6-5 |
30 3i 32 33 34 |
9.39 860 9.39 909 9-39 958 9.40 006 9-40 055 |
49 49 48 49 j.8 |
9.41 266 9.41 318 9.41 370 9.41 422 9.41 474 |
52 52 52 52 |
0-58 734 0.58 682 0.58 630 0.58 578 0.58 526 |
9.98 594 9.98 591 9.98 588 9-98 584 9.98 581 |
3 3 4 3 |
30 29 28 27 26 |
9 10 20 30 40 co |
7-5 8-3 16.7 25.0 33-3 41.7 |
7-4 8.2 16.3 24-5 32-7 40 8 |
!i 37 38 39 |
9.40 103 9.40 152 9.40 200 9.40 249 9.40 297 |
49 48 49 48 |
9.41 526 9-41 578 9.41 629 9.41 681 9-41 733 |
52 5i S2 52 |
0.58 474 0.58 422 0.58 37i 0.58 319 0.58 267 |
9.98 578 9-98 574 9.98 571 9.98 568 9.98 565 |
4 3 3 3 |
25 24 23 22 21 |
6 |
48 4.8 C fi |
47 4-7 c •=• • |
40 4i 42 43 44 |
9.40 346 9-40 394 9.40 442 9.40 490 9-40 538 |
48 48 48 48 A& |
9.41 784 9.41 836 9.41 887 9-4i 939 9.41 990 |
52 Si 52 5i |
0.58 216 0.58 164 0.58 113 0.58 061 0.58 oio |
9.98 561 9-98 558 9-98 555 9-98 55i 9.98 548 |
3 3 4 3 3 |
20 19 18 17 16 |
7 8 9 10 20 3° |
5-° 6-4 7.2 8.0 16.0 24.0 |
IS 7-1 7-8 15-7 23.5 |
45 46 47 48 49 |
9.40 586 9.40 634 9.40 682 9.40 730 9.40 778 |
48 48 48 48 |
9.42 041 9.42 093 9.42 144 9.42 195 9.42 246 |
52 5i Si Si |
0-57 959 0.57 907 0.57 856 0.57 805 o.57 754 |
9-98 545 9.98 541 9-98 538 9-98 535 9-98 53i |
4 3 3 4 |
15 14 13 12 .11 |
40 50 |
32.0 40.0 4 |
31-3 39-2 3 |
50 Si 52 53 54 |
9.40 825 9.40 873 9.40 921 9.40 968 9.41 016 |
47 48 48 47 48 |
9.42 297 9.42 348 9.42 399 9.42 450 9.42 501 |
51 5i 5i 5i 5i |
0-57 703 0.57 652 0.57 601 0-57 550 o-57 499 |
9.98 528 9-98 525 9.98 521 9.98 518 9-98 515 |
3 4 3 3 |
10 9 8 7 6 |
6 8 9 10 |
0.4 o.5 o.S 0.6 0.7 |
0.3 0.4 0.4 o.5 o-S |
P 57 58 59 |
9.41 063 9.4! in 9-41 158 9.41 205 9.41 252 |
47 48 47 47 47 |
9-42 552 9.42 603 9-42 653 9.42 704 9-42 75? |
51 5* So 51 5* |
0.57 448 0.57 397 0-57 347 0.57 296 0-57 245 |
9.98 511 9.98 508 9-98 505 9-98 501 9.98 498 |
3 3 4 3 |
5 4 3 2 I |
20 3° 40 50 |
1-3 2.0 2.7 3-3 |
I.O i-5 2.0 2-5 |
00 |
9-41 300 |
4° |
9-42 805 |
5° |
0-57 195 |
9.98 494 |
0 |
||||
L. Cos. |
d. |
L. Cot£. |
c. d. |
L.Taiii;. |
1,. Sin. |
d. |
/ |
1'r |
op. 1 |
•Is. |
75<
37
/• |
L. Sin. |
d. |
L.Tang. c. d. |
L. Cotg. |
JL. Cos. |
d. |
Prop. Pts. |
||||
0 I 2 3 4 |
9.41 300 9-41 347 9-41 394 9.41 441 9.41 488 |
47 47 47 47 47 47 46 47 47 46 47 46 47 46 47 46 46 47 46 46 46 46 46 46 45 46 46 46 45 46 45 46 45 46 45 45 46 45 45 45 45 45 45 45 44 45 45 45 44 45 44 45 44 45 44 44 44 45 44 44 |
9.42 805 9.42 856 9.42 906 9-42 957 9.43 007 |
51 50 51 50 5° 51 5° So So 50 So 50 So 5° So 49 50 50 49 50 49 50 49 So 49 49 49 So 49 49 49 49 49 49 49 48 49 49 48 49 49 48 49 48 48 49 48 48 48 49 48 48 48 48 48 48 47 48 48 48 |
0-57 195 0.57 144 0.57 094 0-57 043 0-56 993 |
9.98 494 9.98 491 9.98 488 9.98 484 9.98 481 |
3 3 4 3 4 3 3 4 3 4 3 4 3 3 4 3 4 3 4 3 4 3 4 3 3 4 3 4 3 4 3 4 3 4 4 3 4 3 4 3 4 3 4 3 4 4 3 4 3 4 3 4 4 3 4 3 4 4 3 4 |
60 59 58 57 56 |
6 8 9 10 20 30 40 50 6 7 8 9 10 20 3<> 40 5° 6 7 8 9 10 20 30 40 50 6 7 8 9 10 20 3° 40 50 6 7 8 9 10 20 3° 40 50 |
51 5-1 6.0 6.8 7-7 8.5 17.0 25-5 34-° 42.5 49 4.9 5-7 6-5 7-4 8.2 16.3 24-5 32-7 40.8 47 4-7 5-5 6-3 7-1 7.8 15-7 23-5 3i.3 39-2 45 4-5 5-3 6.0 6.8 7-5 15.0 22.5 30.0 37-5 4 0.4 o.S 0-5 0.6 0.7 i-3 2.0 2.7 3-3 |
50 S-o 5.8 6.7 7-5 8-3 16.7 25.0 33-3 41.7 48 4.8 5.6 6.4 7-2 8.0 16.0 24.0 32.0 40.0 46 4.6 5-4 6.1 6.9 7-7 15.3 23.0 30.7 38.3 44 4.4 5-i 5-9 6.6 7-3 14.7 22.O 29-3 36.7 3 0-3 0.4 0.4 o.S o.S I.O i-5 2.0 2-5 |
t 7 8 9 1O ii 12 13 14 |
9-4i 535 9.41 582 9.41 628 9-4i 675 9.41 722 |
9-43 057 9-43 i°8 9-43 158 9-43 208 9-43 258 |
0.56 943 0.56 892 0.56 842 0.56 792 0.56 742 |
9.98 477 9.98 474 9.98 471 9.98 467 9.98 464 |
55 54 53 52 5i |
||||||
9.41 768 9.41 815 9.41 861 9.41 908 9-4i 954 |
9-43 3°8 9 43 358 9-43 408 9.43 458 9 43 5o8 |
0.56 692 0.56 642 0.56 592 0.56 542 0.56 492 |
9.98 460 9-98 457 9-98 453 9.98 450 9.98 447 |
50 49 48 47 46 |
|||||||
IS 16 17 18 19 |
9.42 ooi 9.42 047 9.42 093 9.42 140 9.42 186 |
9-43 558 9 43 607 9-43 657 9-43 707 9-43 756 |
0.56-442 0-56 393 0-56 343 0.56 293 0.56 244 |
9.98 443 9.98 440 9.98 436 9-98 433 9 98 429 |
45 44 43 42 41 |
||||||
20 21 22 23 24 |
9.42 232 9.42 278 9.42 324 9.42 370 9.42 416 |
9-43 806 9-43 855 9-43 9°5 9-43 954 9.44 004 |
0.56 194 0.56 145 0.56 095 0.56 046 0-55 996 |
9.98 426 9.98 422 9.98 419 9.98 415 9.98 412 |
40 39 38 37 36 |
||||||
25 26 27 28 29 |
9.42 461 9.42 507 9-42 553 9.42 599 9-42 644 |
9-44 °53 9.44 102 9-44 I5i 9.44 201 9-44 250 |
o-55 947 0.55 898 0-55 849 o.55 799 0-55 750 |
9.98 409 9.98 405 9.98 402 9.98 398 9-98 395 |
35 34 33 32 3i |
||||||
30 3i 32 33 34 |
9.42 690 9-42 735 9.42 781 9.42 826 9.42 872 |
9-44 299 9.44 348 9-44 397 9.44446 9-44 495 |
0-55 70i 0-55 652 0.55 603 o-SS 554 o-55 5°5 |
9.98 391 9.98 388 9.98 384 9.98 381 9-98 377 |
3O 29 28 27 26 |
||||||
35 36 37 38 39 |
9.42 917 9.42 962 9-43 °°8 9-43 °53 9-43 098 |
9-44 544 9.44 592 9-44 641 9.44 690 9-44 738 |
0-55 456 0.55 408 0-55 359 0-55 3io 0.55 262 |
9-98 373 9.98 370 9.98 366 9-98 363 9-98 359 |
25 24 23 22 21 |
||||||
40 4i 42 43 44 |
9-43 143 9-43 188 9-43 233 9-43 278 9-43 323 |
9-44 787 9-44 836 9-44 884 9-44 933 9.44981 |
o-55 213 0.55 164 0.55 116 0.55 067 0.55 019 |
9-98 356 9 98 352 9-98 349 9-98 345 9.98 342 |
20 19 18 17 16 |
||||||
45 46 47 48 49 |
9-43 367 9-43 412 9-43 457 9-43 502 9-43 546 |
9.45 029 9-45 078 9.45 126 9-45 174 9-45 222 |
0.54 971 0.54 922 0.54 874 0.54 826 0-54 778. |
9.98 338 9-98 334 9-98 33i 9.98 327 9.98 324 |
15 14 13 12 II |
||||||
5O Si 52 53 54 |
9-43 59i 9-43 635 9.43 680 9-43 724 9-43 769 |
9.45 271 9-45 319 9-45 367 9-45 415 9-45 463 |
0.54 729 0.54 681 0.54 633 0-54 585 °-54 537 |
9.98 320 9.98 317 9-98 313 9.98 309 9.98 306 |
10 '9 8 7 6 |
||||||
55 56 57 58 59 |
9-43 813 9-43 857 9-43 901 9.43 946 9-43 990 |
9-45 5ii 9-45 559 9-45 606 9-45 654 9-45 7°2 |
0.54 489 0.54 441 °-54 394 o-54 346 0.54 298 |
9.98 302 9.98 299 9.98 295 9.98 291 9.98 288 |
5 4 3 2 I |
||||||
60 |
9.44 034 |
9-45 750 |
0.54 250 |
9.98 284 |
o |
||||||
L. Cos. |
d. |
L.Cotg. |
c, d.JL.Tang. |
L. Sin. |
d. |
r |
Prop. Pts. |
74<
16'
/• |
L. Sin. |
d. |
L.Tang. c. d. L. Cotg. |
L. Cos. d. |
Prop. Pts. |
||||||
o I 2 3 4 |
9-44 034 9-44 078 9.44 122 9.44 166 9.44 210 |
44 44 44 44 43 44 44 44 43 44 44 43 43 44 43 44 43 43 43 43 43 44 43 42 43' 43 43 43 43 42 43 42 43 42 43 42 43 42 42 42 43 42 42 42 42 42 42 42 4i 42 42 42 41 42 4i 42 4i 42 4» 42 |
9-45 750 9-45 797 9-45 845 9-45 892 9-45 940 |
47 48 47 48 47 48 47 48 47 47 47 48 47 47 47 47 47 47 47 46 47 47 47 46 47 47 46 47 46 46 47 46 46 47 46 46 46 46 46 46 46 46 46 46 46 45 46 46 46 45 46 45 46 45 45 46 45 45 46 45 |
0-54 250 0.54 203 0-54 155 0.54 108 0.54 060 |
9.98 284 9.98 281 9.98 277 9.98 273 9.98 270 |
3 4 4 3 4 4 3 4 4 3 4 4 3 4 4 3 4 4 3 4 4 3 4 4 4 3 4 4 4 3 4 4 4 3 4 4 4 3 4 4 4 3 4 4 4 4 3 4 4 4 4 4 3 4 4 4 4 4 4 |
00 59 58 57 56 |
6 7 8 9 10 20 30 40 50 6 7 8 9 10 20 30 40 50 6 7 8 9 10 20 3° 40 50 6 7 8 9 10 20 30 40 50 6 7 8 9 10 20 30 40 50 |
48 4.8 5-6 6-4 7.2 8.0 16.0 24.0 32.0 40.0 46 4.6 5-4 6.1 6-9 7-7 15-3 23.0 3°-7 38-3 44 4-4 5-1 5-9 6.6 7-3 147 22.0 29-3 36.7 43 4-2 4-9 5-6 6-3 7-o 14.0 21.0 28.0 35-0 4 0.4 0-5 0.5 0.6 0.7 i-3 2.0 2.7 3-3 |
47 4-7 il 7.1 7-8 15-7 23-5 31-3 39-2 45 4-5 . 5-3 6.0 6.8 7-5 15-0 22.5 30.0 37-5 43 4-3 5-0 5-7 6-5 7-2 14-3 21-5 28.7 35-8 4i 4.1 4-8 I:! 6.8 13-7 20.5 27-3 34-2 3 0-3 0.4 0.4 0-5 0-5 I.O i-5 2.0 2-5 |
5 6 7 8 9 |
9-44 253 9-44 297 9-44 34i 9 44 385 9-44 428 |
9-45 987 9-46 035 9.46 082 9.46 130 9.46 177 |
0.54 013 o-53 965 0-53 9i8 0.53 870 0.53 823 |
9.98 266 9.98 262 9 98 259 9-98 255 9.98 251 |
55 54 53 52 5i |
||||||
10 ii 12 13 14 |
9.44 472 9-44 5i6 9-44 559 9.44 602 9-44 646 |
9.46 224 9.46 271 9.46 319 9.46 366 9.46 413 |
o.53 776 0-53 729 0.53 681 0-53 634 0.53 587 |
9.98 248 9.98 244 9.98 240 9.98 237 9-98 233 |
50 49 48 47 46 |
||||||
15 16 17 18 19 |
9.44 689 9-44 733 9.44 776 9-44 819 9.44 862 |
9.46 460 9.46 507 9-46 554 9.46 601 9.46 648 |
0-53 540 0-53 493 0-53 446 0-53 399 o.53 352 |
9.98 229 9.98 226 9.98 222 9.98 218 9.98 215 |
45 44 43 42 41 |
||||||
20 21 22 23 24 |
9-44 9°5 9-44 948 9-44 992 9-45 035 9-45 077 |
9.46 694 9.46 741 9.46 788 9-46 835 9.46 881 |
0.53 306 o.53 259 0.53 212 0-53 165 0.53 "9 |
9.98 211 9.98 207 9.98 204 9.98 2OO 9.98 196 |
40 39 38 H |
||||||
25 26 27 28 29 |
9-45 120 9-45 163 9-45 206 9-45 249 9.45 292 |
9.46 928 9.46 975 9.47 021 9.47 068 9-47 "4 |
0.53 072 0.53 025 0.52 979 0.52 932 0.52 886 |
9.98 192 9.98 189 9.98 I8f 9.98 181 9.98 177 |
35 34 33 32 3i |
||||||
3O 3i 32 33 34 |
9-45 334 9-45 377 9-45 419 9-45 4°2 9-45 504 |
9.47 160 9.47 207 9-47 253 9-47 299 9-47 346 |
0.52 840 0.52 793 .0.52 747 0.52 701 0.52 654 |
9.98 174 9.98 170 9.98 166 9.98 162 9.98 159 |
30 29 28 27 26 |
||||||
35 36 37 38 39 |
9-45 547 9-45 589 9-45 632 9-45 674 9-45 7i6 |
9-47 392 9-47 438 9.47 484 9-47 530 9-47 576 |
0.52 608 0.52 562 0.52 516 0.52 470 0.52 424 |
9-98 155 9.98 151 9.98 147 9.98 144 9.98 140 |
25 24 23 22 21 |
||||||
40 4i 42 43 44 |
9-45 758 9-45 801 9-45 843 9-45 885 9-45 927 |
9.47 622 9.47 668 9-47 7H 9-47 760 9.47 806 |
0.52 378 0.52 332 0.52 286 0.52 240 0.52 194 |
9.98 136 9.98 132 9.98 129 9-98 125 9.98 121 |
20 19 18 17 16 |
||||||
45 46 47 48 49 |
9-45 969 9.46 on 9-46 °53 9.46 095 9.46 136 |
9-47 852 9-47 897 9-47 943 9-47 989 9-48 035 |
0.52 148 0.52 103 0.52 057 0.52 on 9-Si 965 0.51 920 0.51 874 0.51 829 0.51 783 0.51 738 |
9.98 117 9.98 II3 9.98 no 9.98 106 9.98 102 |
15 14 13 12 11 |
||||||
50 Si 52 53 54 |
9.46 178 9.46 220 9.46 262 9-46 303 9-46 345 |
9.48 080 9.48 126 9.48 171 9.48 217 9.48 262 |
9.98 098 9.98 094 9.98 090 9.98 087 9-98 083 |
10 9 8 7 6 |
|||||||
55 56 57 58 59 |
9-46 386 9.46 428 9.46 469 9.46 511 9-46 552 |
9.48 307 9-48 353 9.48 398 9-48 443 9.48 489 |
0.51 693 0.51 647 0.51 602 0-51 557 0.51 5" |
9.98 079 9.98 075 9.98 071 9.98 067 9-98 063 |
5 4 3 a |
||||||
00 |
9-46 594 |
9-48 534 |
0.51 466 |
9.98 060 |
0 |
||||||
L. Cos. | d. |
L. Cotg. C. d. L.TMIIU. |
L. Sin. d. |
/ |
Prop. Pts. |
73C
17'
39
/- |
L. Sin. |
d. |
L. Tang. |
c. d. |
L. Cotg. |
L. Cos. |
d. |
Prop. Pts. |
||||
o I 2 3 4 |
9.46 594 9-46 635 9.46 676 9.46 717 9.46 758 |
41 41 41 41 42 41 41 41 41 41 40 41 41 41 41 40 41 40 41 40 41 40 41 40 40 41 40 40 40 40 40 40 40 40 40 40 40 39 40 40 39 40 40 39 |
9-48 534 9-48 579 9.48 624 9.48 669 9.48 714 |
45 45 45 45 45 45 45 45 45 45 45 44 45 45 44 45 44 45 44 45 44 45 44 44 45 44 44 44 44 44 44 44 44 44 44 44 44 43 44 44 44 43 44 43 44 43 44 43 44 43 43 44 43 43 43 43 43 44 43 43 |
0.51 466 0.51 421 0.51 376 0-51 33i 0.51 286 |
9.98 060 9.98 056 9.98 052 9.98 048 9.98 044 |
4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 |
6O 59 58 fa |
6 7 8 9 10 20 3° |
4 $ 5 6 6 1 15 25 3^ 37 6 7 8 9 10 20 30 40 50 4 4 A 5 6 7 14 21 28 35 4 4 4 6 6 13 20 26 33 5 5-5 ).6 )-7 ).8 ).8 •7 »-s i-3 \.2 |
5 •5 •3 .0 .8 •5 .0 •5 .0 • 5 4 4 c 1 ( 7 M 23 2£ 3 = * .2 •9 .6 •3 .0 .0 .0 .0 .0 0 .0 •7 •3 .0 •7 •3 .0 •7 •3 4 o. 0. o. o 0. I. 2. 2. 3- |
44 4.4 S-i 5.9 6.6 7-3 14-7 22.0 29-3 36.7 3 k3 .0 •7 •5 .2 \-3 •5 .7 .8 4i 4.1 4.8 5-5 6.2 6.8 13-7 20.5 27-3 34-2 39 3-9 4.6 5-2 5-9 6-5 13.0 19.5 26.0 32-5 3 4 0.3 5 0.4 5 0.4 6 0.5 7 0.5 3 i-o o 1.5 7 2.0 3 2.5 |
6 7 8 9 |
9.46 800 9.46 841 9.46 882 9.46 923 9.46 964 |
9-48 759 9.48 804 9.48 849 9.48 894 9.48 939 |
0.51 241 0.51 196 0.51 151 0.51 106 0.51 061 |
9.98 040 9.98 036 9.98 032 9.98 029 9.98 025 |
55 54 53 52 5i |
|||||||
10 ii 12 13 14 |
9.47 005 9-47 045 9.47 086 9-47 127 9.47 168 |
9.48 984 9.49 029 9-49 073 9.49 118 9-49 163 |
0.51 016 0.50 971 0.50 927 0.50 882 0.50 837 |
9.98 021 9 98 017 9 98 013 9.98 009 9.98 005 |
50 49 48 47 46 |
40 50 |
||||||
15 16 17 18 19 |
9-47 209 9-47 249 9-47 290 9-47 330 9-47 37i |
9-49 207 9-49 252 9.49 296 9-49 341 9-49 385 |
0.50 793 0.50 748 0.50 704 0.50 659 0.50 615 |
9.98 ooi 9-97 997 9-97 993 9 97 989 9-97 986 |
45 44 43 42 4i |
|||||||
20 21 22 23 24 |
9.47411 9 47 452 9.47 492 9-47 533 9-47 573 |
9-49 430 9.49 474 9-49 519 9-49 563 9.49 607 |
0.50 570 0.50 526 0.50 481 0.50 437 0.50 393 |
9-97 982 9.97 978 9-97 974 9-97 970 9-97 966 |
40 39 38 37 36 |
6 7 8 |
||||||
25 26 27 28 29 |
9.47 613 9-47 654 9-47 694 9-47 734 9-47 774 |
9.49 652 9-49 696 9.49 740 9.49 784 9.49 828 |
0.50 348 0.50 304 0.50 260 0.50 216 0.50 172 |
9-97 962 9-97 958 9-97 954 9-97 950 9-97 946 |
35 34 33 32 3i |
|||||||
3O 3i 32 33 34 |
9.47 814 9-47 854 9.47 894 9-47 934 9.47 974 |
9 49 872 9.49 916 9.49 960 9.50 004 9.50 048 |
0.50 128 0.50 084 0.50 040 0.49 996 0.49 952 |
9.97 942 9-97 938 9-97 934 9-97 930 9-97 926 |
3O 29 28 27 26 |
9 10 20 30 40 50 6 7 8 9 10 20 30 40 50 6 c 7 < 8 c 9 < 10 C 20 1 30 '. 40 : 50 t |
||||||
35 36 37 38 39 |
9.48 014 9.48 054 9.48 094 9-48 133 9.48 173 |
9.50 092 9.50 136 9.50 180 9.50 223 9.50 267 |
0.49 908 0.49 864 o 49 820 0.49 777 0-49 733 |
9.97 922 9-97 9i8 9.97 914 9-97 910 9.97 906 |
25 24 23 22 21 |
|||||||
40 4i 42 43 44 |
9.48 213 9.48 252 9.48 292 9-48 332 9-48 37i |
9-503II 9 So 355 9-50 398 9.50 442 9-5° 485 |
0.49 689 0.49 645 0.49 602 0-49 558 049515 |
9-97 902 9.97 898 9-97 894 9-97 890 9.97 886 |
20 19 18 17 16 |
|||||||
45 46 47 48 49 |
9.48 411 9.48 450 9.48 490 9.48 529 9.48 568 |
40 39 40 39 39 |
9-5° 529 9-So 572 9.50 616 9-50 659 9-50 7°3 |
0.49 471 0.49 428 0.49 384 0-49 34i 0.49 297 |
9.97 882 9-97 878 9-97 874 9-97 870 9.97 866 |
15 14 13 12 II |
||||||
5O Si 52 53 54 |
9.48 607 9.48 647 9.48 686 9.48 725 9.48 764 |
39 40 39 39 39 |
9.50 746 9.50 789 9-50 833 9.50 876 9.50919 |
0.49 254 0.49 211 0.49 167 0.49 124 0.49 08 1 |
9.97 861 9-97 857 9-97 853 9-97 849 9-97 845 |
4 |
10 9 8 7 6 |
|||||
55 56 57 58 59 |
9.48 803 9.48 842 9.48 881 9.48 920 9.48 959 |
39 39 39 39 39 39 |
9.50 962 9.51 005 9.51 048 9.51 092 9-51 135 |
0.49 038 0.48 995 0.48 952 0.48 908 0.48 865 |
9.97 841 9-97 837 9-97 833 9-97 829 9.97 825 |
4 4 4 4 4 |
5 4 3 2 I |
|||||
60 |
9.48 998 |
9.51 178 |
0.48 822 |
9.97 821 |
O |
|||||||
L. Cos. |
d. |
L. Cotg. |
c. d. |
L.Tang. |
L. Sin. |
d. |
r |
Prop. Pts. |
72<
r |
! . Sill. |
d. |
L.Taiig. |
c. d. |
L. Cotg. |
L. Cos. |
d. |
Pi |
01 |
>. |
Pts. |
|
O i 2 3 4 |
9.48 998 9-49 °37 9.49 076 9-49 US 9-49 153 |
39 39 39 38 |
9.51 178 9.51 221 9-51 264 9.51 306 9-51 349 |
43 43 42 43 |
0.48 822 0.48 779 0.48 736 0.48 694 0.48 651 |
9.97 821 9-97 817 9.97 812 9.97 808 9-97 804 |
4 5 4 4 |
60 59 58 57 56 |
6 7 |
4 4 5 |
3 •3 .0 |
4» 4-2 4-9 |
5 6 7 8 9 |
9-49 192 9-49 231 9-49 269 9-49 3o8 9-49 347 |
39 38 39 39 •38 |
9-5i 392 9-5i 435 9.51 478 9-5i 520 9-5i 563 |
43 43 43 42 43 |
0.48 608 0.48 565 0.48 522 0.48 480 0.48 437 |
9.97 800 9-97 796 9-97 792 9.97 788 9-97 784 |
4 4 4 4 |
55 54 53 52 5i |
8 9 10 20 30 |
\ 7 M 21 |
-7 •5 .2 •3 •5 |
5-6 6-3 7.0 14.0 2C.O |
10 ii 12 13 14 |
9-49 385 9-49 424 9-49 462 9-49 5oo 9-49 539 |
39 38 38 39 -0 |
9.51 606 9.51 648 9.51 691 9-5i 734 9.51 776 |
43 42 43 43 42 |
0.48 394 0.48 352 0.48 309 0.48 266 0.48 224 |
9-97 779 9-97 775 9-97 771 9-97 767 9-97 763 |
4 4 4 4 |
50 49 48 47 46 |
40 50 |
2b 35 |
•7 .8 4 |
28.0 35-0 i |
15 16 17 18 19 |
9-49 577 9-49 615 9.49 654 9.49 692 9-49 730 |
38 39 38 38 _Q |
9.51 819 9.51 861 9-5i 903 9.51 946 9.51 988 |
43 42 42 43 42 |
0.48 181 0.48 139 0.48 097 0.48 054 0.48 012 |
9-97 759 9-97 754 9-97 75° 9-97 746 9-97 742 |
5 4 4 4 |
45 44 43 42 4i |
6 7 8 9 10 |
t A c I t |
kl ki •s ).2 .8 |
|
20 21 22 23 24 |
9-49 768 9.49 806 9-49 844 9.49 882 9.49 920 |
38 38 38 38 |
9.52 031 9-52 073 9-52 115 9-52 157 9.52 200 |
43 42 42 42 43 |
0.47 969 0.47 927 0.47 885 0.47 843 0.47 800 |
9-97 738 9-97 734 9.97 729 9-97 725 9-97 721 |
4 5 4 4 |
40 39 38 37 36 |
20 30 P >0 |
\.-. 2C ^ 3-1 |
•7 '•5 •3 ^•2 |
|
5 27 28 29 |
9-49 958 9-49 996 9-5° 034 9.50 072 9.50 no |
38 38 38 38 38 |
9.52 242 9.52 284 9.52 326 9.52 368 9.52 4IO |
42 42 42 42 42 |
0.47 758 0.47 7l6 0.47 674 0.47 632 0.47 590 |
9-97 717 9-97 713 9-97 708 9-97 704 9-97 700 |
4 5 4 4 |
35 34 33 32 3i |
. 6 7 8 |
3 3 4 5 |
9 •9 .6 .2 |
38 3-8 4-4 5-i |
3O 3i 32 33 34 |
9.50 148 9-50 185 9.50 223 9.50 261 9.50 298 |
3° 37 38 38 37 |
9-52 452 9-52 494 9-52 536 9-52 578 9.52 620 |
42 42 42 42 42 |
0.47 548 0.47 506 0.47 464 0.47 422 0.47 380 |
9-97 696 9.97 691 9-97 687 9 97 683 9-97 679 |
5 4 4 4 |
30 29 28 27 26 |
9 10 20 30 40 CQ |
i 6 13 19 at |
•9 •5 .0 •5 .0 |
5-7 6-3 12.7 19.0 25-3 |
35 36 37 38 39 |
9-50 336 9-5° 374 9.50 411 9-50 449 9.50 486 |
S8 38 37 38 37 |
9.52 661 9-52 703 9-52 745 9.52 787 9.52 829 |
41 42 42 42 42 |
0-47 339 0.47 297 0-47 255 0.47 213 0.47 171 |
9-97 674 9-97 670 9.97 666 9.97 662 9-97 657 |
5 4 4 4 5 |
25 24 23 22 21 |
6 |
3 3 |
7 •7 |
36 3-6 |
40 4i 42 43 44 |
9-5° 523 9.50 561 9-50 598 9-50 635 9-50 673 |
37 38 37 37 38 |
9.52 870 9.52 912 . 9-52 953 9-52 995 9-53 °37 |
41 42 4» 42 42 |
0.47 130 0.47 088 0.47 047 0.47 005 0.46 963 |
9-97 653 9-97 649 9-97 645 9.97 640 9-97 636 |
4 4 5 4 |
2O 19 18 17 16 |
7 8 9 10 20 3° |
4 4 I 12 Ifi |
•3 •9 .6 .2 •3 c |
4.2 4.8 5-4 6.0 12.0 18.0 |
45 46 47 48 49 |
9.50 710 9-5° 747 9.50 784 9.50 821 9.50 858 |
37 37 37 37 37 |
9-53 078 9-53 120 9-53 161 9-53 202 9-53 244 |
41 42 4i 4» 42 |
0.46 922 0.46 880 0.46 839 0.46 798 0.46 756 |
9-97 632 9.97 628 9 97 623 9.97 619 9-97 615 |
4 5 4 4 |
15 14 13 12 II |
40 50 |
24 30 |
.7 .8 |
24.0 30.0 |
50 Si 52 53 54 |
9.50 896 9-5° 933 9.50 970 9.51 007 9-Si 043 |
38 37 37 37 36 |
9-53 285 9-53 327 9-53 368 9-53 409 9-53 450 |
4X 42 4* 4* 4i |
0.46 715 0.46 673 0.46 632 0.46 591 0.46 550 |
9.97 610 9.97 606 9.97 602 9-97 597 9-97 593 |
4 4 5 4 |
10 9 8 7 6 |
6 7 8 9 10 |
0 o 0° 0 |
S •7 .8 s |
0.4 0-5 0-5 0.6 0.7 |
H 57 58 59 |
9.51 080 9-Si "7 9-Si 154 9.51 191 9-Si 227 |
37 37 37 37 36 |
9-53 492 9-53 533 9-53 574 9-53 6i5 9-53 656 |
42 4i 4' 4i 4» |
0.46 508 0.46 467 0.46 426 0.46 385 0.46 344 |
9-97 589 9-97 584 9-97 58o 9-97 576 9-97 571 |
5 4 4 5 |
5 4 3 2 |
20 30 40 50 |
J 2 4 |
•7 s 3 i |
1-3 2.0 2-7 3-3 |
00 |
9.51 264 |
37 |
9-53 697 |
41 |
0.46 303 |
9-97 567 |
o |
|||||
L. Cos. |
d. |
L. Cotg. |
C. d. |
L.Tang. |
L. Sin. |
d. |
r |
Tr |
<M |
. 1 |
Ms. |
71°
19C
r |
L. Sin. |
d. |
L.Tang. |
c. d. |
L.Cotg. |
L. Cos. |
d. |
Pr |
op. |
Pts. |
|
0 i 2 3 4 |
9.51 264 9-Si 301 9-5i 338 9-Si 374 9-51 4" |
37 37 36 37 ofi |
9-53 697 9-53 738 9-53 779 9-53 820 9-53 861 |
41 41 4i 4* |
0.46 303 0.46 262 0.46 221 0.46 180 0.46 139 |
9-97 567 9-97 563 9-97 558 9-97 554 9-97 550 |
4 5 4 4 |
GO 59 58 57 56 |
6 7 |
41 4.1 4.8 |
40 4.0 4-7 |
6 7 8 9 |
9-Si 447 9.51 484 9-51 520 9-5i 557 9-5i 593 |
3° 37 36 37 36 ifi |
9-53 902 9-53 943 9-53 984 9-54 025 9-54 065 |
4i 41 4i 40 |
0.46 098 0.46 057 0.46 016 o.45 975 0-45 935 |
9-97 545 9-97 541 9-97 536 9-97 532 9.97 528 |
4 5 4 4 |
55 54 53 52 Si |
8 9 10 20 30 |
5-5 6.2 6.8 13-7 20.5 |
5-3 6.0 6-7 13-3 2O.O |
10 ii 12 13 14 |
9.51 629 9.51 666 9.51 702 9-51 738 9-5i 774 |
3° 37 36 36 36 |
9.54 106 9-54 147 9-54 187 9-54 228 9-54 269 |
4i 40 4i 41 |
0.45 894 0-45 853 0.45 813 0.45 772 o-45 73i |
9-97 523 9-97 519 9-97 515 9-97 5io 9.97 506 |
4 4 5 4 |
50 49 48 47 46 |
40 50 |
27.3 34-2 3 |
26.7 33-3 9 |
15 16 17 18 19 |
9-51 811 9.51 847 9-51 883 9.51 919 9-Si 955 |
37 36 36 36 36 |
9-54 3°9 9-54 350 9-54 390 9-54 43i 9-54 47i |
4° 4i 40 4i 40 |
0.45 691 0.45 650 0.45 610 o-45 569 o-45 529 |
9-97 501 9-97 497 9-97 492 9.97 488 9.97 484 |
4 5 4 4 |
45 44 43 42 4i |
] |
6 3 7 4 8 5 9 5 :o 6 |
•9 .6 .2 •9 •5 |
20 21 22 23 24 |
9-Si 99i 9.52 027 9.52 063 9.52 099 9-52 135 |
3° 36 36 36 36 ifi |
9-54 512 9-54 552 9-54 593 9-54 633 9-54 673 |
41 40 41 40 40 |
0.45 488 0.45 448 0.45 407 o-45 367 o-45 327 |
9-97 479 9-97 475 9.97 470 9.97 466 9-97 461 |
4 5 4 5 |
40 39 38 37 36 |
t i |
to 13 jo 15 [0 26 ;o 32 |
.0 •5 .0 •5 |
25 26 27 28 29 |
9.52 171 9.52 207 9.52 242 9-52 278 9-52 3H |
3° 36 35 36 .36 •36 |
9-54 714 9-54 754 9-54 794 9-54 835 9-54 875 |
40 40 41 40 |
0,45 286 0.45 246 0.45 206 0.45 165 0-45 125 |
9-97 457 9-97 453 9.97 448 9.97 444 9-97 439 |
4 5 4 5 |
35 34 33 32 3i |
6 7 8 |
37 3-7 4-3 4-9 |
36 3-6 4-2 4.8 |
3O 3i 32 33 34 |
9-52 350 9-52 385 9-52 421 9-52 456 9.52 492 |
3° 35 36 35 36 . |
9-54 915 9-54 955 9-54 995 9-55 035 9-55 °75 |
4° 40 40 40 40 |
0.45 085 0-45 045 0.45 005 0.44 965 0.44 925 |
9-97 435 9-97 430 9.97 426 9.97 421 9-97 417 |
5 4 5 4 |
30 29 28 27 26 |
9 10 20 3° 40 CQ |
5-o 6.2 12.3 18.5 24.7 qo 8 |
5-4 6.0 12.0 18.0 24.0 qo O |
35 36 37 38 39 |
9-52 527 9-52 563 9-52 598 9-52 634 9.52 669 |
35 36 35 36 35 |
9-55 H5 9-55 155 9-55 195 9-55 235 9-55 275 |
40 40 40 4° 40 |
0.44 885 0.44 845 0.44 805 0.44 765 0.44 725 |
9-97 412 9-97 4°8 9-97 403 9-97 399 9-97 394 |
4 5 4 5 |
25 24 23 22 21 |
6 |
35 3-5 |
34 3-4 |
40 4i 42 43 44 |
9-52 705 9.52 740 9-52 775 9.52 811 9-52 846 |
3° 35 35 36 35 |
9-55 315 9-55 355 9-55 395 9-55 434 9-55 474 |
4° 40 40 39 40 |
0.44 685 o.44 645 0.44 605 0.44 566 0.44 526 |
9-97 39° 9-97 385 9-97 38i 9-97 376 9-97 372 |
5 4 5 4 |
20 19 18 17 16 |
7 8 9 10 20 30 |
4.1 4-7 5-3 5-8 11.7 17.5 |
4.0 4-5 S-i 5-7 ".3 17.0 |
45 46 47 48 49 |
9.52 881 9.52 916 9-52 95i 9.52 986 9-53 021 |
35 35 35 35 35 |
9-55 5H 9-55 554 9-55 593 9-55 633 9-55 673 |
40 40 39 40 40 |
0.44 486 0.44 446 0.44 407 0.44 367 0.44 327 |
9-97 367 9-97 363 9-97 358 9-97 353 9-97 349 |
4 5 5 4 |
15 14 13 12 II |
40 So |
23-3 29.2 |
22.7 28.3 |
5O Si 52 53 54 |
9-53 056 9-53 092 9-53 126 9-53 161 9-53 196 |
35 36 34 35 35 |
9-55 712 9-55 752 9-55 791 9-55 831 9-55 870 |
39 40 39 40 39 |
0.44 288 0.44 248 0.44 209 0.44 169 0.44 130 |
9-97 344 9-97 340 9-97 335 9-97 331 9-97 326 |
4 5 4 5 |
10 9 8 7 6 |
6 7 8 9 10 |
o.5 0.6 0.7 0.8 08 |
0.4 o-5 o-5 0.6 0.7 |
55 56 57 58 59 |
9-53 231 9-53 a66 9-53 301 9-53 336 9-53 370 |
35 35 35 35 34 |
9-55 9Jo 9-55 949 9-55 989 9.56 028 9.56 067 |
40 39 4° 39 39 |
0.44 090 0.44 051 0.44 on 0.43 972 0-43 933 |
9-97 322 9-97 317 9 97 312 9-97 308 9-97 3«>3 |
5 5 4 5 |
5 4 3 2 I |
20 3° 4° So |
1.7 2-5 3-3 4.2 |
i-3 2.O 2.7 3-3 |
60 |
9-53 405 |
35 |
9.56 107 |
4° |
0-43 893 |
9-97 299 |
o |
||||
L. Cos. |
d. |
L. Cotg. |
c. d. |
L.Tang. |
L. Sin. |
d. |
r |
Pi |
op. 1 |
Pts. |
70<
20<
/• |
L. Sin. |
(1. |
L.Tang. |
c. d. |
L. Cotg. |
L. Cos. |
d. |
Pi |
op. |
Pts. |
|
o 2 3 4 |
9-53 4°5 9-53 44° 9-53 475 9-53 509 9-53 544 |
35 35 34 35 |
9.56 107 9.56 146 9.56 185 9.56 224 9.56 264 |
39 39 39 40 |
0-43 893 0-43 854 0.43 815 0.43 776 0.43 736 |
9.97 299 9.97 294 9-97 289 9.97 285 9.97 280 |
5 5 4 5 |
GO 59 58 57 56 |
6 7 |
40 4.0 4-7 |
39 3-9 4.6 |
5 6 7 8 9 |
9-53 578 9-53 613 9-53 647 9-53 682 9-53 7i6 |
35 34 35 34 |
9-56 303 9-56 342 9.56 381 9.56 420 9-56 459 |
39 39 39 39 |
0.43 697 0.43 658 0.43 619 0.43 580 °-43 54i |
9-97 276 9-97 271 9.97 266 9.97 262 9-97 257 |
5 5 4 5 |
55 54 53 52 5i |
8 9 10 20 3° |
5-3 6.0 6-7 13-3 2O.O |
5-2 5,9 6-5 13.0 19-5 |
1O ii 12 13 14 |
9-53 75i 9-53 785 9-53 819 9-53 854 9.53 888 |
34 34 35 34. |
9.56 498 9-56 537 9-56 576 9.56 615 9-56 654 |
39 39 39 39 |
0.43 502 0-43 463 0.43 424 0-43 385 o-43 346 |
9-97 252 9.97 248 9-97 243 9.97 238 9.97 234 |
4 5 5 4 |
50 49 48 47 46 |
40 50 |
2b.7 33-3 38 |
26.0 32.5 37 |
15 16 17 18 19 |
9-53 922 9-53 957 9-53 99i 9-54 025 9-54 059 |
35 34 34 34 |
9-56 693 9-56 732 9.56 771 9.56 810 9.56 849 |
39 39 39 39 •38 |
0-43 307 0.43 268 0.43 229 0.43 190 o-43 I51 |
9.97 229 9-97 224 9.97 220 9-97 215 9.97 210 |
5 4 5 5 |
45 44 43 42 4i |
6 7 8 9 10 |
3-8 4-4 5-1 5-7 6-3 |
3-7 4-3 4-9 5-6 6.2 |
20 21 22 23 24 |
9-54 093 9-54 127 9-54 161 9-54 195 9-54 229 |
34 34 34 34 |
9.56 887 9.56 926 9-56 965 9-57 004 9.57 042 |
39 39 39 38 |
0-43 "3 0.43 074 0-43 035 0.42 996 0.42 958 |
9.97 206 9-97 201 9-97 196 9.97 192 9.97 187 |
5 5 4 5 |
40 39 38 37 36 |
20 3° 40 50 |
12.7 19.0 25-3 31-7 |
12.3 18-5 24-7 30.8 |
25 26 27 28 29 |
9-54 263 9-54 297 9-54 33i 9-54 365 9-54 399 |
34 34 34 34 |
9-57 081 9-57 120 9-57 158 9-57 197 9-57 235 |
39 39 38 39 38 |
0.42 919 0.42 880 0.42 842 0.42 803 0.42 765 |
9.97 182 9.97 178 9-97 173 9.97 168 9.97 163 |
4 5 5 5 |
35 34 33 S2 3i |
- |
3. 6 3 7 4 8 4 |
5 •5 .1 •7 |
30 3i 32 33 34 |
9-54 433 9-54 466 9-54 5°o 9-54 534 9-54 567 |
33 34 34 33 |
9-57 274 9-57 312 9-57 35i 9-57 389 9.57 428 |
39 38 39 38 39 08 |
0.42 726 0.42 688 0.42 649 0.42 611 0.42 572 |
9-97 159 9-97 154 9-97 149 9-97 145 9.97 140 |
5 5 4 5 |
30 29 28 27 26 |
3 < |
9 5 o 5 0 II o 17 ^ 23 |
•3 .8 •7 •5 -3 |
35 36 37 38 39 |
9.54 601 9-54 635 9-54 668 9.54 702 9-54 735 |
34 34 33 34 33 |
9-57 466 9-57 504 9-57 543 9-57 58i 9-57 619 |
3° 38 39 38 38 |
0-42 534 0.42 496 0.42 457 0.42 419 0.42 381 |
9-97 135 9.97 130 9.97 126 9.97 121 9.97 116 |
5 4 5 5 |
25 24 23 22 21 |
6 |
34 3-4 |
33 3-3 |
4O 41 42 43 44 |
9-54 769 9-54 802 9-54 836 9-54 869 9-54 903 |
34 33 34 33 34 |
9-57 658 9-57 696 9-57 734 9-57 772 9.57810 |
39 38 38 38 38 |
0.42 342 0.42 304 0.42 266 0.42 228 0.42 190 |
9-97 "I 9-97 i°7 9.97 102 9-97 097 9-97 092 |
4 5 5 5 |
2O 19 18 17 16 |
7 8 9 10 20 3O |
4.0 4-5 5-i 5-7 H-3 17 o |
3-9 4-4 5-o 5-5 II.O 16 < |
45 46 47 48 49 |
9-54 936 9-54 969 9-55 003 9-55 036 9-55 069 |
33 34 33 33 |
9-57 849 9-57 887 9-57 925 9-57 963 9.58 ooi |
38 38 38 38 ,0 |
0.42 151 0.42 113 0.42 075 0.42 037 0.41 999 |
9-97 087 9-97 083 9-97 078 9-97 073 9.97 068 |
4 5 5 5 |
15 14 *3 12 II |
40 5° |
22.7 28.3 |
22.0 27-5 |
5O 5i 52 53 54 |
9-55 102 9-55 IS6 9-55 169 9.55 202 9-55 235 |
33 34 33 33 33 |
9-58 039 9.58 077 9-58 115 9-58 153 9.58 191 |
3° 38 38 38 38 _Q |
0.41 961 0.41 923 0.41 885 0.41 847 0.41 809 |
9.97 063 9-97 059 9-97 054 9-97 049 9.97 044 |
4 5 5 5 |
10 9 8 7 6 |
6 7 8 9 10 |
0.5 0.6 0.7 0.8 0.8 |
0.4 0.5 0.5 0.6 0.7 |
55 56 57 58 59 |
9-55 268 9-55 301 9-55 334 9-55 367 9-55 400 |
33 33 33 33 33 |
9.58 229 9.58 267 9-58 304 9.58 342 9.58 380 |
38 38 37 38 38 _Q |
0.41 771 0.41 733 0.41 696 0.41 658 0.41 620 |
9-97 039 9-97 035 9-97 030 9-97 025 9.97 020 |
4 5 5 5 |
5 4 3* 2 I |
20 30 4<> 50 |
1-7 2-5 3-3 4-2 |
i-3 2.0 2.7 3-3 |
GO |
9-55 433 |
33 |
9-58 418- |
38 |
0.41 582 |
9-97 015 |
O |
||||
L. Cos. |
d. |
L. Coif. |
c. d. |
L.Tang. |
I,. Sin. |
d. |
r |
Pr |
«>p, 1 |
Ms. |
69(
r |
L. Sin. |
d. |
L.Tang. |
c. d. L. Cotg. |
L. Cos. |
d. |
Prop. Pts. |
||||
O i 2 3 4 |
9-55 433 9-55 466 9-55 499 9-55 532 9-55 564 |
33 33 33 32 33 33 33 32 33 33 32 33 32 33 32 33 32 33 32 32 33 32 32 33 32 32 32 32 32 33 32 32 32 32 |
9.58 418 9-58 455 9-58 493 9.58 53i 9.58 569 |
37 38 38 38 37 38 37 38 38 37 38 37 38 37 37 38 37 38 37 37 37 38 37 37 37 37 38 37 37 37 37 37 37 37 37 37 37 36 37 37 37 37 36 37 37 37 36 37 37 36 37 36 37 36 37 36 37 36 37 36 |
0.41 582 0.41 545 0.41 507 0.41 469 0.41 431 |
9-97 015 9.97 010 9.97 005 9.97 ooi 9.96 996 |
5 5 4 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 |
60 59 58 57 56 |
6 7 |
38 3-8 4-4 S-i 5-7 6.3 12.7 19.0 25-3 31-7 36 3-6 4-2 4.8 5-4 6.0 12.0 18.0 24.0 30.0 '9 6 3 7 3 8 4 9 4 o 5 0 10 o 16 O 21 o 26 31 iS 4.1 4.7 5-2 10.3 15.5 20.7 25.8 5 0-5 0.6 0.7 0.8 0.8 1-7 2.5 3-3 4.2 |
37 3-7 4-3 4-9 5-6 6.2 12.3 18.5 24.7 30.8 33 3-3 3-9 4.4 5-0 5.5 II.O 16.5 22.O 27-5 2 .2 •7 •3 .8 •3 •7 .0 •3 •7 6 0.6 0.7 0.8 0.9 I.O 2.0 3-0 4.0 5-0 4 0.4 o.S 0-5 0.6 0.7 1-3 2.0 2.7 3-3 |
5 6 7 8 9 |
9-55 597 9-55 630 9-55 663 9-55 695 9-55 728 |
9.58 606 9.58 644 9.58 681 9.58 719 9-58 757 |
0.41 394 0.41 356 0.41 319 0.41 281 0.41 243 |
9.96 991 9.96 986 9.96 981 9.96 976 9.96 971 |
55 54 53 52 Si |
8 9 10 20 30 |
|||||
10 ii 12 13 14 |
9-55 761 9-55 793 9-55 826 9-55 858 9-55 891 |
9-58 794 9.58 832 9.58 869 9.58 907 9.58 944 |
0.41 206 0.41 168 0.41 131 0.41 093 0.41 056 |
9.96 966 9.96 962 9-96 957 9.96 952 9.96 947 |
50 49 48 47 46 |
40 50 6 8 9 10 20 30 40 50 I c ! c 6 8 9 10 20 30 40' 50 6 7 8 9 10 20 30 40 50 |
|||||
15 16 17 18 19 |
9-55 923 9-55 956 9-55 988 9.56 021 9-56 053 |
9.58 981 9-59 OI9 9-59 056 9-59 °94 9-59 131 |
0.41 019 0.40 981 0.40 944 0.40 906 0.40 869 |
9.96 942 9-96 937 9.96 932 9.96 927 9.96 922 |
45 44 43 42 41 |
||||||
2O 21 22 23 24 |
9.56 085 9.56 118 9.56 150 9.56 182 9.56 215 |
9.59 168 9-59 205 9-59 243 9.59 280 9-59 317 |
0.40 832 0.40 795 0.40 757 0.40 720 0.40 683 |
9.96 917 9.96 912 9-96 907 9.96 903 9.96 898 |
40 39 38 1 |
||||||
25 26 27 28 29 |
9.56 247 9.56 279 9-56311 9-56343 9-56 375 |
9-59 354 9-59 39i 9-59 429 9-59 466 9-59 503 |
0.40 646 0.40 609 0.40 571 o-40 534 0.40 497 |
9.96 893 9.96 888 9-96 883 9.96 878 9.96 873 |
35 34 33 32 3i |
||||||
30 3i 32 33 34 |
9.56 408 9.56 440 9.56 472 9.56 504 9-56 536 |
9-59 540 9-59 577 9-59 614 9-59 651 9-59 688 |
0.40 460 0.40 423 0.40 386 0.40 349 0.40 3-12 |
9.96 868 9.96 863 9.96 858 9-96 853 9.96 848 |
30 29 28 27 26 |
||||||
35 36 37 38 39 |
9-56 568 9.56 599 9.56 631 9.56 663 9o6 695 |
32 3i 32 32 32 32 32 3i 32 32 32 3i 32 31 32 32 3i 32 3i 3i 32 3i 32 3i 3i |
9-59 725 9-59 762 9-59 799 9-59 835 9-59 872 |
0.40 275 0.40 238 0.40 201 0.40 165 0.40 128 |
9.96 843 9.96 838 9.96 833 9.96 828 9.96 823 |
25 24 23 22 21 |
|||||
40 4i 42 43 44 |
9.56 727 9-56 759 9.56 790 9.56 822 9-56 854 |
9.59 909 9-59 946 9-59 983 9.60 019 9.60 056 |
0.40 091 0.40 054 0.40 017 0.39 981 0.39 944 |
9.96 818 9.96 813 9.96 808 9.96 803 9.96 798 |
5 5 5 5 |
20 19 18 17 16 |
|||||
45 46 47 48 49 |
9.56 886 9.56 917 9-56 949 9.56 980 9-57 012 |
9.60 093 9.60 130 9.60 166 9.60 203 9.60 240 |
0.39 907 0.39 870 0-39 834 0.39 797 0.39 760 |
9-96 793 9.96 788 9.96 783 9.96 778 9.96 772 |
5 5 5 6 |
15 14 13 12 II |
|||||
50 5i 52 53 54 |
9.57 044 9-57 075 9.57 107 9-57 138 9-57 169 |
9.60 276 9.60 313 9.60 349 9.60 386 9.60 422 |
0.39 724 0.39 687 0.39 651 0.39 614 0-39 578 |
9-96 767 9.96 762 9-96 757 9.96 752 9.96 747 |
5 5 5 5 5 5 5 5 5 5 |
10 9 8 7 6 |
|||||
55 56 57 58 59 |
9-57 201 9-57 232 9-57 264 9-57 295 9-57 326 |
9.60 459 9.60 495 9.60 532 9.60 568 9.60 605 |
0-39 54i o-39 5°5 0.39 468 o-39 432 o-39 395 |
9.96 742 9.96 737 9.96 732 9-96 727 9.96 722 |
5 4 3 2 I |
||||||
60 |
9-5.7 358 |
32 |
9.60 641 |
°-39 359 |
9-96 717 |
5 |
O |
||||
L. Cos. |
d. |
L. Cotg. |
c. d. |
L.Tang. |
L. Sin. |
d. |
r |
Prop. Pts. |
68<
44
22<
r |
L. Sin. |
d. |
L. Tang. |
c. d. |
L. Cotg. |
L,. Cos. |
d. |
I* i |
op. 1 |
Pts. |
|
O i 2 3 4 |
9-57 358 9-57 389 9-57 420 9-57 45i 9-57 482 |
31 31 31 3» |
9.60 641 9.60 677 9.60 714 9.60 750 9.60 786 |
36 37 36 36 |
o-39 359 0,39 323 0.39 286 0.39 250 0.39 214 |
9.96 717 9.96 711 9.96 706 9.96 701 9.96 696 |
6 5 5 5 |
GO 59 58 57 56 |
6 7 |
37 3-7 4-3 |
36 3-6 4.2 |
5 6 7 8 9 |
9-57 5H 9-57 545 9-57 576 9-57 607 9-57 638 |
3» 3» 3i 3i |
9.60 823 9.60 859 9.60 895 9.60 931 9.60 967 |
37 36 36 36 36 |
0.39 177 0.39 141 0.39 105 0.39 069 o-39 033 |
9.96 691 9.96 686 9.96 681 9.96 676 9.96 670 |
5 5 5 6 |
55 54 53 52 5i |
8 9 10 20 30 |
4.9 5-6 6.2 12.3 18.5 |
4.8 & I2.O 18.0 |
10 ii 12 13 14 |
9.57 669 9-57 700 9-57 73i 9-57 762 9-57 793 |
31 3i 3' 3i 3i |
9.61 004 9.61 040 9.61 076 9.61 112 9.61 148 |
37 36 36 36 36 ofi |
0.38 996 0.38 960 0.38 924 0.38 888 0.38 852 |
9.96 665 9.96 660 9-96 655 9.96 650 9.96 645 |
5 5 5 5 |
5O 49 48 47 46 |
40 50 |
24.7 30.8 3 |
24.0 30.0 5 |
15 16 17 18 19 |
9-57 824 9-57 855 9-57 885 9-57 916 9-57 947 |
3i 30 3i 3i |
9.61 184 9.61 22O 9.61 256 9.61 292 9.6l 328 |
3° 36 36 36 36 |
0.38 816 0.38 780 0.38 744 0.38 708 0.38 672 |
9.96 640 9.96 634 9.96 629 9.96 624 9.96 619 |
6 5 5 5 |
45 44 43 42 41 |
3 |
6 3 7 4 8 4 9 5 to 5 |
•5 .1 •7 -3 .8 |
20 21 22 23 24 |
9-57 978 9.58 008 9-58 039 9.58 070 9.58 101 |
31 30 31 31 3i |
9.61 364 9.61 400 9.6l 436 9.6l 472 9.6l 508 |
3° 36 36 36 36 if> |
0.38 636 0.38 600 0.38 564 0.38 528 0.38 492 |
9.96 614 9.96 608 9.96 603 9.96 598 9 96 593 |
6 5 5 5 |
4O 39 38 37 36 |
i |
JO II jo 17 \o 23 ;o 29 |
•7 •5 •3 .2 |
25 26 27 28 29 |
9-58 131 9.58 162 9.58 192 9.58 223 9-58 253 |
3i 30 3i 3" |
9.61 544 9.61 579 9.61 615 9.61 651 9.61 687 |
35 36 36 36 |
0.38 456 0.38 421 0.38 385 0.38 349 0.38 313 |
9 96 588 9.96 582 9-96 577 9.96 572 9.96 567 |
6 5 5 5 |
35 34 33 32 3i |
6 7 8 |
3* 3-2 3-7 4-3 |
31 H 4.I |
30 3i 32 33 34 |
9.58 284 9-58 3H 9-58 345 9-58 375 9.58 406 |
31 30 3i 30 3i |
9.61 722 9.61 758 9.61 794 9.61 830 9.61 865 |
35 36 36 36 35 |
0.38 278 0.38 242 0.38 206 0.38 170 0-38 135 |
9.96 562 9-96 556 9-96 55i 9.96 546 9.96 541 |
6 5 5 5 |
3O 29 28 27 26 |
9 10 20 30 40 CQ |
4.8 5-3 10.7 16.0 21.3 26 7 |
4-7 5-2 10.3 15-5 20.7 2c 8 |
35 36 37 38 39 |
9-58 436 9.58 467 9-58 497 9-58 527 9-58 557 |
3° 3» 3° 3<> 30 |
9.61 901 9.61 936 9.61 972 9.62 008 9.62 043 |
30 35 36 36 35 ofi |
0.38 099 0.38 064 0.38 028 0.37 992 o.37 957 |
9-96 535 9-96 530 9-96 525 9.96 520 9.96 514 |
5 5 5 6 |
25 24 23 22 21 |
6 |
30 3-0 |
29 2.9 |
4O 4i 42 43 44 |
9-58 588 9.58 618 9.58 648 9.58 678 9.58 709 |
31 30 30 3<> 3« |
9.62 079 9.62 114 9.62 150 9.62 185 9.62 221 |
3° 35 36 35 36 |
0.37 921 0.37 886 0.37 850 0-37 815 0.37 779 |
9.96 509 9.96 504 9.96 498 9-96 493 9.96 488 |
5 6 5 5 |
2O 19 18 17 16 |
7 8 9 10 20 30 |
3-5 4.0 4-5 5-0 IO.O 15.0 |
3-4 3-9 4-4 4.8 9-7 14 c |
45 46 47 48 49 |
9-58 739 9.58 769 9-58 799 9.58 829 9-58 859 |
3° 3° 30 3<> 30 |
9.62 256 9.62 292 9.62 327 9.62 362 9.62 398 |
35 36 35 35* 36 |
0-37 744 0.37 708 0.37 673 0.37 638 0.37 602 |
9.96 483 9-96 477 9.96 472 • 9.96 467 9.96 461 |
6 5 5 6 |
15 14 13 12 II |
40 So |
20.0 25.0 5 |
J9-3 24.2 |
50 5i 52 53 54 |
9.58 889 9-58 919 9-58 949 9-58 979 9.59009 |
30 3° 3° 30 3° |
9.62 433 9.62 468 9.62 504 9-62 539 9.62 574 |
35 35 36 35 35 |
0-37 567 o.37 532 0.37 496 0.37 461 0.37 426 |
9.96 456 9.96 451 9-96 445 9.96 440 9-96 435 |
5 6 5 5 |
10 9 8 7 6 |
6 7 8 9 10 |
0.6 0.7 0.8 0.9 I O |
o.S 0.6 0.7 0.8 08 |
55 56 57 58 59 |
9-59 <>39 9.59069 9-59 098 9-59 "8 9-59 158 |
3° 3<> »9 30 3<> |
9.62 609 9.62 645 9.62 680 9-62 715 9.62 750 |
35 36 35 35 35 |
o 37 391 0-37 355 0.37 320 0.37 285 0.37 250 |
9.96 429 9.96 424 9.96 419 9 96 413 9.96 408 |
5 5 6 5 |
5 4 3 2 I |
20 3° 40 50 |
2.0 3-o 4.0 5-0 |
i-7 2-5 3-3 4.2 |
60 |
9-59 1 88 |
3° |
9.62 785 |
35 |
0.37 215 |
9.96 403 |
5 |
O |
|||
L. Cos. |
d. |
1,. Cotff. |
c. d. |
L. Ta UK. |
L. Sin. |
d. |
r |
Pr |
op. I |
'ts. |
67
23'
45
/• |
L. Sin. |
d. |
L.Tang. |
c. d. |
L. Cotg. |
L. Cos. |
d. |
Prop. Pts. |
||||
0 I 2 3 4 |
9-59 188 9-59 218 9-59 247 9-59 277 9-59 3°7 |
3° 29 30 3° 29 3<> 30 29 30 29 3° 29 3° 29 |
9.62 785 9.62 820 9.62 855 9.62 890 9.62 926 |
35 35 35 36 35 35 35 35 35 34 35 35 35 35 35 35 34 35 35 35 35 34 35 35 34 35 34 35 35 34 35 34 35 34 35 34 35 34 34 35 34 34 35 34 34 35 34 34 34 34 35 34 34 34 34 34 34 34 34 34 |
0.37 215 0.37 180 0-37 M5 0.37 no 0.37 074 |
9.96 403 9-96 397 9.96 392 9.96 387 9.96 381 |
6 5 5 6 5 6 5 5 6 5 6 5 5 6 5 6 5 6 5 6 5 5 6 5 6 5 6 5 6 |
6O 59 58 57 56 |
6 7 |
< < i ii U Q.L 3< 6 7 8 9 10 20 30 1° 50 3 • \ A 4 5 1C 15 2C 25 6 7 8 9 [0 >0 5° p 50 < c 0 0 o 2 3 4 5 |
16 j.6 1-2 j.8 5-4 ).0 J.O 5.o [.0 ).0 3 -1 4 c c IJ «3 22 2g 0 .0 •5 .0 •5 .0 .0 .0 .0 .0 2 2 3 3 4 4 9 14 18 23 i .6 •7 .8 •9 .0 .0 .0 .0 .0 |
35 3-5 4.1 4-7 5-3 5-8 11.7 17-5 23-3 29.2 4 •4 ^.0 kS I .7 •3 .0 •7 •3 29 2.9 3-4 3-9 4-4 4.8 9-7 14-5 19-3 24.2 8 .8 •3 •7 .2 •7 •3 .0 •7 •3 5 0-5 06 0.7 0.8 0.8 1-7 2-5 3-3 4-2 |
5 6 7 8 9 |
9-59 336 9-59 366 9-59 396 9-59 425 9-59 455 |
9.62 961 9.62 996 9.63 031 9.63 066 9.63 101 |
0.37 039 0.37 004 0.36 969 0-36 934 0.36 899 |
9.96 376 9.96 370 9-96 365 9.96 360 9-96 354 |
55 54 53 52 5i |
8 9 10 20 30 |
||||||
1O ii 12 13 14 |
9.59 484 9-59 5i4 9-59 543 9-59 573 9-59 602 |
9-63 135 9.63 170 9.63 205 9.63 240 9-63 275 |
0.36 865 0.36 830 0-36 795 0.36 760 0.36 725 |
9-96 349 9-96 343 9-96 338 9-96 333 9.96 327 |
50 49 48 47 46 |
40 50 6 7 8 9 10 20 3° 40 50 J i 1 6 8 9 10 20 30 40 50 |
||||||
15 16 17 18 19 |
9-59 632 9-59 661 9-59 690 9-59 720 9-59 749 |
29 29 3<> 29 29 30 29 29 29 29 30 29 29 29 |
9.63 310 9-63 345 9-63 379 9.63 414 9.63 449 |
0.36 690 0.36 655 0.36 621 0.36 586 o-S6 55i |
9.96 322 9.96 316 996311 9-96 3<>5 9.96 300 |
45 44 43 42 4i |
||||||
2O 21 22 23 24 |
9-59 778 9-59 808 9-59 837 9-59 866 9-59 895 |
9.63 484 9-63 519 9-63 553 9-63 588 9.63 623 |
0.36 516 0.36 481 0.36 447 0.36 412 0.36 377 |
9.96 294 9.96 289 9.96 284 9.96 278 9.96 273 |
40 39 38 37 36 |
|||||||
2S 26 27 28 29 |
9-59 924 9-59 954 9-59 983 9.60 012 9.60 041 |
9-63 657 9.63 692 9.63 726 9.63 761 9.63 796 |
0-36 343 0.36 308 0.36 274 o 36 239 0.36 204 |
9.96 267 9.96 262 9.96 256 9.96 251 9.96 245 |
35 34 33 32 3i |
|||||||
30 3i 32 33 34 |
9.60 070 9.60 099 9.60 128 9.60 157 9.60 186 |
29 29 29 29 |
9.63 830 9.63 865 9.63 899 9-63 934 9.63 968 |
0.36 170 0.36 135 0.36 101 0.36 066 0.36 032 |
9.96 240 9.96 234 9 96 229 9.96 223 9.96 218 |
6 5 6 5 g |
30 29 28 27 26 |
|||||
3 37 38 39 |
9.60 215 9.60 244 9.60 273 9.60 302 9.60 331 |
29 29 29 29 29 28 29 29 29 28 29 29 29 28 29 28 29 29 28 29 28 |
9.64 003 9.64 037 9.64 072 9.64 106 9.64 140 |
o-35 997 0-35 963 0.35 928 o-35 894 0.35 860 |
9.96 212 9.96 207 9.96 2OI 9.96 196 9.96 190 |
5 6 5 6 5 6 5 6 6 |
25 24 23 22 21 |
|||||
40 4i 42 43 44 |
9-6o 359 9.60 388 9.60 417 9.60 446 9.60 474 |
9.64 175 9.64 209 9.64 243 9.64 278 9.64 312 |
0.35 825 o-35 79i o-35 757 0.35 722 0.35 688 |
9.96 185 9.96 179 9.96 I74 9.96 168 9.96 162 |
20 J9 18 17 16 |
|||||||
45 46 47 48 49 |
9.60 503 9.60 532 9.60 561 9.60 589 9.60 618 |
9.64 346 9.64 381 9.64 415 9 64 449 9.64 483 |
0-35 654 0.35 619 °-35 585 o-35 55i 035 5i7 |
9.96 157 9 96 151 9.96 146 9.96 140 9-96 135 |
6 5 6 5 |
15 14 13 12 II |
||||||
50 5i 52 53 54 |
9.60 646 9.60 675 9.60 704 9.60 732 9.60 761 |
9.64 517 9-64 552 9.64 586 9.64 620 9.64 654 |
0-35 483 0-35 448 0-35 414 0.35 380 0.35 346 |
9.96 129 9.96 123 9.96 118 9.96 112 9.96 107 |
6 5 6 5 6 6 5 6 5 |
10 9 8 7 6 |
||||||
55 56 57 58 . 59 |
9.60 789 9.60 818 9.60 846 9.60 875 9.60 903 |
29 28 29 28 |
9.64 688 9.64 722 9 64 756 9.64 790 9.64 824 |
0.35 312 0.35 278 0-35 244 0.35 210 0.35 176 |
9.96 101 9.96 095 9.96 090 9.96 084 9.96 079 |
5 4 3 2 I |
||||||
6O |
9.60 931 |
9.64 858 |
o-35 142 |
9.96 073 |
0 |
|||||||
L. Cos. |
d. |
L. Cotg. |
c. d. |
L. Tang. |
L. Sin. |
d. |
/• |
Prop. Pts. |
66<
46
24'
/ |
L. Sin. |
d. |
L.Tang. |
c. d. |
L. Cotg. |
L. Cos. |
d. |
Proj |
.. 1 |
Pts. |
|
0 I 2 3 4 |
9.60 931 9.60 960 9.60 988 9.61 016 9.61 045 |
29 28 28 29 28 |
9.64 858 9.64 892 9.64 926 9.64 960 9.64 994 |
34 34 34 34 |
0-35 142 0.35 108 0-35 074 0.35 040 0.35 006 |
9.96 073 9.96 067 9.96 062 9.96 056 9.96 050 |
6 5 6 6 |
6O 59 58 57 56 |
3 6 2 7 4 |
4 •4 .0 |
33 3-3 3-9 |
6 7 8 9 |
9.61 073 9.61 101 9.61 129 9.61 158 9.61 186 |
28 28 29 28 ?s |
9.65 028 9.65 062 9-65 096 9.65 130 9.65 164 |
34 34 34 34 34 |
0.34 972 o-34 938 0.34 904 0.34 870 0.34 836 |
9.96 045 9.96 039 9.96 034 9.96 028 q.q6 022 |
6 5 6 6 |
55 54 53 52 51 |
8 A 9 5 i° £ 20 I] 30 17 |
•5 .1 •1 •3 .0 |
4.4 5-o 5-5 II.O 16.5 |
10 ii 12 13 14 |
9.61 214 9.61 242 9.61 270 9.61 298 9.61 326 |
28 28 28 28 |
9.65 197 9.65 231 9.65 265 9.65 299 9-65 333 |
33 34 34 34 34 |
0.34 803 0.34 769 0-34 735 0.34 701 0.34 667 |
9.96 017 9.96 on 9.96 005 9.96 ooo 9-95 994 |
6 6 5 6 g |
50 49 48 47 46 |
40 25 50 2g |
• 7 •3 2 |
22.O 27-5 I |
15 16 17 18 19 |
9-6i 354 9.61 382 9.61 411 9.61 438 9.61 466 |
28 29 27 28 |
9-65 366 9.65 400 9-65 434 9.65 467 9-65 5oi |
33 34 34 33 34 |
0-34 634 0.34 600 0.34 566 o.34 533 o-34 499 |
9-95 988 9.95 982 9-95 977 9-95 971 9-95 965 |
6 5 6 6 |
45 44 43 42 4i |
6 7 8 9 10 |
2 3 3 4 4 |
•9 •4 •9 •4 .8 |
20 21 22 23 24 |
9.61 494 9.61 522 9-6i 550 9.61 578 9.61 606 |
28 28 28 28 |
9-65 535 9.65 568 9.65 602 9.65 636 9.65 669 |
34 33 34 34 33 |
o-34 465 0-34 432 0-34 398 0-34 364 o-34 33i |
9.95 960 9-95 954 9.95 948 9-95 942 9-95 937 |
6 6 6 5 g |
4O 39 38 | |
20 30 40 50 |
9 14 19 24 |
•7 •5 •3 .2 |
25 26 27 28 29 |
9.61 634 9.61 662 9.61 689 9.61 717 9-6 1 745 |
28 27 28 28 |
9-65 703 9-65 736 9.65 770 9.65 803 9-65 837 |
34 33 34 33 34 |
0.34 297 0.34 264 0.34 230 0.34 197 0.34 163 |
9-95 93i 9-95 925 9-95 920 9-95 914 9.95 908 |
6 5 6 6 g |
35 34 33 32 3i |
6 7 8 |
2 2 3 3 |
B .8 •3 •7 |
30 3i 32 33 34 |
9.61 773 9.61 800 9.61 828 9.61 856 9.61 883 |
27 28 28 27 |
9.65 870 9.65 904 9-65 937 9-65 971 9.66 004 |
33 34 33 34 33 |
0.34 130 0.34 096 0.34 063 0.34 029 0.33 996 |
9-95 902 9-95 897 9-95 891 9-95 885 9-95 879 |
5 6 6 6 g |
30 29 28 27 26 |
9 10 20 30 40 CQ |
4 4 9 14 18 00 |
•7 •3 .0 •7 q |
35 36 37 38 39 |
9.61 911 9.61 939 9.61 966 9.61 994 9.62 021 |
28 27 28 27 |
9.66 038 9.66 071 9.66 104 9.66 138 9.66 171 |
34 33 33 34 33 |
0.33 962 0.33 929 0.33 896 0.33 862 0.33 829 |
9-95 873 9-95 868 9.95 862 9-95 856' 9-95 850 |
5 6 6 6 g |
25 24 23 22 21 |
6 |
a 2 |
7 •7 |
40 4i 42 43 44 |
9.62 049 9.62 076 9.62 104 9.62 131 9.62 IS9 |
27 28 27 28 |
9.66 204 9.66 238 9.66 271 9.66 304 9.66 337 |
33 34 33 33 33 |
0.33 796 0.33 762 0.33 729 0.33 696 0.33 663 |
9-95 844 9-95 839 9-95 833 9-95 827 9-95 821 |
5 6 6 6 g |
2O 19 18 17 16 |
7 8 9 10 20 •5O |
3 3 4 4 9 1 -; |
.6 .1 •5 .0 .5 |
45 46 47 48 49 |
9.62 180 9.62 214 9.62 241 9.62 268 9.62 296 |
27 28 27 27 28 |
9.66 371 9.66 404 9-66 437 9.66 470 9.66 503 |
34 33 33 33 33 |
0.33 629 0-33 596 0-33 563 o-33 530 o-33 497 |
9-95 815 9.95 810 9-95 804 9-95 798 9-95 792 |
5 6 6 6 |
15 14 13 12 II |
40 50 |
1 8 22 |
.0 •5 |
50 5i 52 53 54 |
9.62 323 9.62 350 9.62 377 9.62 405 9.62 432 |
27 27 27 28 27 |
9-66 537 9.66 570 9.66 603 9.66 636 9.66 669 |
34 33 33 33 33 |
0-33 463 o-33 430 0-33 397 o-33 364 0-33 331 |
9.95 786 9-95 78o 9-95 775 9-95 769 9-95 763 |
6 5 6 6 g |
10 9 8 7 6 |
6 c 7 o 8 c 9 c IO I |
.6 •7 .8 •9 o |
5 o-5 0.6 0.7 0.8 0.8 |
H 11 59 |
9.62 459 9.62 486 9.62 513 9-62 541 9.63 568 |
27 27 27 28 27 |
9.66 702 9-66 735 9.66 768 9.66 801 9.66 834 |
33 33 33 33 33 |
0.33 298 0.33 265 0.33 232 o-33 199 0.33 166 |
9-95 757 9-95 75i 9-95 745 9-95 739 9-95 733 |
6 6 6 6 |
5 4 3 2 I |
20 9 3° 3 40 4 So 5 |
.0 .0 .0 .0 |
1-7 2-5 3-3 4.2 |
GO |
9-62 595 |
27 |
9.66 867 |
33 |
0-33 133 |
9-95 728 |
o |
||||
L. Cos. |
d • |
L. Cotg. |
c. d. |
L.Tang. |
L. Sin. |
d. |
r |
1*1 0| |
. 1 |
•ti. |
65C
25'
47
r |
L. Sin. |
d. |
L.Tang.c. d. |
L.Cotg. |
L. Cos. |
d. |
Prop. Pts. |
||||
0 2 3 4 |
9-62 595 9.62 622 9.62 649 9.62 676 9.62 703 |
27 27 27 27 27 27 27 27 27 27 27 26 27 27 27 27 26 27 27 26 27 27 26 27 26 27 26 27 26 |
9.66 867 9.66 900 9-66 933 9.66 966 9-66 999 |
33 33 33 33 33 33 33 33 32 33 33 33 33 32 33 33 33 32 33 33 32 33 33 32 33 32 33 33 32 33 32 33 32 33 32 32 33 32 33 32 32 33 32 32 33 32 32 32 33 32 32 32 32 33 32 32 32 32 32 3* |
0-33 133 0.33 100 0.33 067 0.33 034 0.33 ooi |
9-95 728 9-95 722 9-95 7i6 9.95 710 9-95 704 |
6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 |
6O 59 58 57 56 |
6 7 |
3 3 3 4 5 ii 16 22 27 |
3 32 •3 3-2 •9 3-7 •4 4.3 .0 4.8 •5 5-3 .0 10.7 .5 16.0 .0 21.3 •5 26.7 27 2.7 3-2 3-6 4-1 4-5 9.0 13-5 18.0 22.5 26 2.6 3-o 3-5 3-9 4-3 8.7 13-0 17-3 21.7 7 0.7 0.8 0.9 i.i 1.2 2-3 3-5 4-7 5.8 5 5 6 0.5 .7 0.6 8 0.7 9 0.8 . o 0.8 o 1.7 o 2.5 o 3-3 o 4.2 |
5 6 7 8 9 |
9.62 730 9.62 757 9.62 784 9.62 811 9.62 838 |
9.67 032 9.67 065 9.67 098 9.67 131 9-67 163 |
0.32 968 0.32 935 0.32 902 0.32 869 0.32 837 |
9-95 698 9.95 692 9.95 686 9.95 680 9-95 674 |
55 54 53 52 |
8 9 10 20 30 |
|||||
10 II 12 13 14 |
9.62 865 9.62 892 9.62 918 9.62 945 9.62 972 |
9.67 196 9.67 229 9.67 262 9.67 295 9.67 327 |
0.32 804 0.32 771 0.32 738 0.32 705 0.32 673 |
9.95 668 9-95 663 9-95 657 9-95 651 9-95 645 |
5O 49 48 47 46 |
40 50 |
|||||
15 16 17 18 19 |
9.62 999 9.63 026 9.63 052 9.63 079 9.63 106 |
9.67 360 9-67 393 9.67 426 9.67 458 9.67 491 |
0.32 640 0.32 607 0.32 574 0.32 542 0.32 509 |
9-95 639 9-95 633 9-95 627 9-95 621 9-95 615 |
45 44 43 42 |
6 8 9 10 |
|||||
20 21 22 23 24 |
9-63 133 9-63 159 9.63 186 9-63 213 9-63 239 |
9.67 524 9-67 556 9.67 589 9.67 622 9-67 654 |
0.32 476 0.32 444 0.32 411 0.32 378 0.32 346 |
9-95 609 9-95 603 9-95 597 9-95 59i 9-95 585 |
40 39 38 |
2 < c I 2 3 A c 6 7 8 9 10 20 3° 40 50 |
0 o ^° o 6 7 8 9 0 0 o o 0 6 8 9 10 20 30 40 50 0 o 0 0 I 2 3 4 5 |
||||
25 26 27 28 29 |
9.63 266 9.63 292 9.63 319 9-63 345 9.63 372 |
9.67 687 9.67 719 9.67 752 9.67 785 9.67 817 |
0.32 3:3 0.32 281 0.32 248 0.32 215 0.32 183 |
9-95 579 9-95 573 9-95 567 9-95 56i 9-95 555 |
35 34 33 32 |
||||||
30 32 33 34 |
9-63 398 9-63 425 9.63 451 9.63 478 9-63 504 |
27 26 27 26 27 26 26 27 26 26 27 26 26 26 27 26 26 26 26 |
9.67 850 9.67 882 9.67 915 9.67 947 9.67 980 |
0.32 150 0.32 118 0.32 085 0.32 053 0.32 020 |
9-95 549 9-95 543 9-95 537 9-95 53i 9-95 525 |
30 29 28 27 26 |
|||||
37 38 39 |
9-63 S31 9-63 557 9-63 583 9.63 610 9.63 636 |
9.68 012 9.68 044 9.68 077 9-68 109 9.68 142 |
0.31 988 0.31 956 0.31 923 0.31 891 0.31 858 |
9-95 5i9 9-95 513 9-95 507 9-95 5oo 9-95 494 |
25 24 23 22 21 |
||||||
40 42 43 44 |
9.63 662 9.63 689 9.63 715 9.63 741 9.63 767 |
9.68 174 9.68 206 9.68 239 9.68 271 9-68 303 |
0.31 826 0.31 794 0.31 761 0.31 729 0.31 697 |
9.95 488 9-95 482 9-95 476 9-95 470 9-95 464 |
19 18 17 16 |
||||||
45 46 47 48 49 |
9-63 794 9.63 820 9.63 846 9.63 872 9.63 898 |
9.68 336 9.68 368 9.68 400 9.68 432 9.68 465 |
0.31 664 0.31 632 0.31 600 0.31 568 0.31 535 |
9-95 458 9-95 452 9-95 446 9-95 440 9-95 434 |
15 14 13 12 II |
||||||
50 \ 52 S3 54 |
9.63 924 9-63 950 9.63 976 9.64 002 9.64 028 |
26 26 26 26 26 |
9-68 497 9.68 529 9.68 561 9-68 593 9.68 626 |
0.31 503 0.31 471 0-31 439 0.31 407 0.31 374 |
9-95 427 9-95 421 9-95 415 9-95 4°9 9-95 403 |
7 6 6 6 6 g |
10 9 8 7 6 |
||||
55 56 57 58 59 |
9.64 054 9.64 080 9.64 106 9.64 132 9.64 158 |
26 26 26 26 26 |
9.68 658 9.68 690 9.68 722 9-68 754 9.68 786 |
0.31 342 0.31 310 0.31 278 0.31 246 0.31 214 |
9-95 397 9-95 391 9-95 384 9-95 378 9-95 372 |
6 7 6 6 |
5 4 3 2 I |
||||
6O |
9.64 184 |
9.68 818 |
0.31 182 |
9-95 366 |
O |
||||||
L. Cos. |
d. |
L. Cotg. |
c. d. |
L.Tang. |
L. Sin. |
d. |
' |
Prop. Pts. |
64C
48
26'
r |
L. Sin. |
d. |
L.Tang. |
c. d. |
L. Cotg. |
L. Cos. |
d. |
Prop. Pts. |
|||
0 i 2 3 4 |
9.64 184 9.64 2IO 9.64 236 9.64 262 9.64 288 |
26. 26 26 26 25 26 26 26 26 25 26 26 25 26 26 25 26 35 26 25 26 25 26 25 „£. |
9.68 818 9.68 850 9.68 882 9.68 914 9.68 946 |
32 32 32 32 32 32 32 32 32 32 32 32 32 32 32 31 32 32 32 32 31 32 32 32 31 32 32 31 32 32 31 32 31 32 32 31 32 32 33 32 32 32 32 32 32 33 |
0.31 182 0.31 150 0.31 118 0.31 086 0.31 054 |
9-95 366 9-95 36o 9-95 348 9-95 34i |
6 6 6 7 6 6 6 6 7 6 6 6 6 7 6 6 6 7 6 6 6 7 6 6 6 7 6 6 7 6 6 6 7 6 6 7 6 6 7 6 6 7 6 7 |
60 59 58 57 56 |
6 7 |
3 4 4 c 1C ie 2] zt 6 7 8 9 0 o o o 0 6 7 8 9 o 0 0 0 0 6 7 8 9 o 0 0 0 0 0 0 0 I I 2 3 4 5 |
3 31 • 2 3.1 •7 3-6 \-3 4-1 ^.8 4.7 •3 5-2 (.7 10.3 '•o 15-5 •3 20.7 >-7 25.8 26 2.6 3-o 3-5 3-9 4-3 8-7 13-0 17-3 21.7 25 2-5 2-9 3-3 3-8 4.2 8-3 12.5 16.7 20.8 24 2.4 2.8 3-2 3.6 4.0 8.0 12. 0 16.0 2O.O 7 6 .7 0.6 .8 0.7 .9 0.8 .1 0.9 .2 I.O •3 2.0 •5 3-0 •7 4-0 .8 5.0 |
5 6 7 8 9 |
9^4 313 9-64 339 9 64 3°5 9 64 391 9.64 417 |
9.68 978 9.69 oio 9.69 042 9.69 074 9.69 106 |
0.31 022 0.30 990 0.30 958 0.30 926 0.30 894 |
9-95 335 9-95 329 9-95 323 9-95 317 9-95 3io |
55 54 53 52 |
8 9 10 20 30 |
|||||
10 ii 12 13 14 |
9.64 442 9.64 468 9.64 494 9.64 519 9-64 545 |
9.69 138 9.69 170 9.69 202 9.69 234 9.69 266 |
0.30 862 0.30 830 0.30 798 0.30 766 0.30 734 |
9-95 304 9.95 298 9-95 292 9.95 286 9-95 279 |
50 49 48 47 46 |
40 50 |
|||||
15 16 17 18 19 |
9.64 571 9.64 596 9.64 622 9.64 647 9.64 673 |
9.69 298 9.69 329 9.69 361 9-69 393 9.69 425 |
0.30 702 0.30 671 0.30 639 0.30 607 0.30 575 |
9-95 273 9-95 267 9-95 261 9-95 254 9-95 248 |
45 44 43 42 41 |
I |
|||||
20 21 22 23 24 |
9.64 698 9.64 724 9.64 749 9-64 775 9.64 800 |
9-69 457 9.69 488 9.69 520 9.69 552 9.69 584 |
0-30 543 0.30 512 0.30 480 0.30 448 0.30 416 |
9.95 242 9-95 236 9-95 229 9-95 223 9-95 217 |
40 39 38 37 36 |
2 3 A 5 i 2 3 4 5 i 2 3 -4 5 6 7 8 9 10 20 30 40 50 |
|||||
25 26 27 28 29 |
9.64 826 9.64 851 9.64 877 9.64 902 9.64 927 |
25 26 25 25 26 25 25 26 25 |
9.69 615 9.69 647 9.69 679 9.69 710 9.69 742 |
0.30 385 0.30 353 0.30 321 0.30 290 0.30 258 |
9-95 211 9-95 204 9.95 198 9.95 192 9-95 185 |
35 34 33 32 |
|||||
30 32 33 34 |
9-64 953 9.64 978 9.65 003 9.65 029 9-6S 054 |
9.69 774 9.69 805 9.69 837 9.69 868 9.69 900 |
0.30 226 0.30 195 0.30 163 0.30 132 0.30 loo |
9-95 179 9-95 173 9.95 167 9.95 160 9-95 154 |
3O 29 28 27 26 |
||||||
35 36 37 38 39 |
9.65 079 9.65 104 9.65 I3o 9-65 155 9.65 1 80 |
25 26 25 25 |
9.69 932 9.69 963 9-69 995 9.70 026 9.70 058 |
0.30 068 0.30 037 0.30 005 0.29 974 0.29 942 |
9-95 148 9-95 141 9-95 135 9-95 129 9-95 122 |
25 24 23 22 21 |
|||||
40 42 43 44 |
9.65 205 9.65 230 9.65 255 9.65 281 9.65 306 |
25 25 25 26 25 25 25 25 25 25 |
9.70 089 9.70 121 9.70 152 9.70 184 9.70 215 |
0.29 911 0.29 879 0.29 848 0.29 816 0.29 785 |
9.95 116 9-95 1 10 9-95 103 9-95 097 9-95 090 |
20 19 18 17 16 |
|||||
45 46 47 48 49 |
9.65 331 9-65 356 9-65 381 9.65 406 |
9.70 247 9-70 278 9.70 309 9-70 341 9.70 372 |
0.29 753 0.29 722 0.29 691 0.29 659 0.29 628 |
9.95 084 9-95 078 9-95 071 9-95 065 9-95 059 |
6 7 6 6 |
15 14 13 12 II |
|||||
50 5i 52 53 54 |
9.65 456 9.65 481 9.65 506 9-65 53i 9-65 556 |
25 25 25 25 25 24 25 25 25 25 |
9.70 404 9-70 435 9.70 466 9.70 498 9.70 529 |
0.29 596 0.29 565 0-29 534 0.29 502 0.29 471 |
9-95 052 9-95 046 9-95 039 9-95 033 9-95 027 |
6 7 6 6 |
10 9 8 7 6 |
||||
55 56 57 58 59 |
9-65 58o 9.65 605 9.65 630 9-65 655 9.65 680 |
9.70 560 9.70 592 9.70 623 9.70 654 9.70 685 |
0.29 440 0.29 408 0.29 377 0.29 346 0.29 315 |
9-95 020 9-95 014 9.95007 9-95 ooi 9-94 995 |
6 7 6 6 |
5 4 3 2 I |
|||||
00 |
9.70 717 |
0.29 283 |
9-94 988 |
0 |
|||||||
L. Cos. |
d. |
L.Cotp. |
c. d. |
L.Tnng. |
L. Sin. |
d. |
f |
Prop. Pts. |
63C
27<
49
/• |
L. Sin. |
d. |
L.Tang. c. d. |
L. Cotg. |
L. Cos. |
d. |
Prop. Pts. |
|||||
o I 2 3 4 |
9-65 7°5 9.65 729 9-65 754 9-65 779 9.65 804 |
24 25 25 25 24 25 25 24 25 25 24 25 24 25 |
9.70 717 9.70 748 9.70 779 9.70 810 9.70 841 |
31 31 3i 3i 32 3i 3i 3i 31 3i 3i 3i 31 32 3i 31 3i 3i 3i 3i 3i 3i 30 31 3i 3i 3i 3i 3i 3i 3i 30 3i 3i 3i 31 3° 3i 3i 30 3i 3i 3i 30 3i 3i 3° 3i 30 3i 3i 30 3i 30 3i 3° 3i 3° 3i 3° |
0.29 283 0.29 252 O.29 221 0.29 190 0.29 159 |
9.94 988 9.94 982 9-94 975 9-94 969 9.94 962 |
6 7 6 7 6 7 6 7 6 7 6 6 7 6 7 6 7 7 6 7 6 7 6 7 6 7 6 7 7 6 7 6 7 6 7 7 6 7 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7 |
GO 59 58 57 56 |
6 7 8 9 10 20 30 40 So 3 Z t i 6 7 8 9 10 20 30 40 50 I 2 3 A 5 6 7 8 9 10 20 3° 40 50 |
3 ' t i 1C ie 2] Zf 6 7 8 9 0 20 !0 P o 3 2 2 2 t A 8 12 16 2C 6 7 8 9 0 o o 0 0 0 0 o I I 2 3 4 5 |
2 •2 • 7 [-3 \& •3 '•7 ).O •3 •7 a 4 t t 1C If 2C 2^ 5 •5 •9 •3 .8 .2 -3 •5 •7 .8 a 2 2 3 3 3 7 ii IS 19 7 •7 .8 •9 .1 .2 •3 •5 •7 .8 |
31 3-1 3.6 4.1 4-7 5-2 10.3 15-5 20.7 25.8 0 .0 •5 ^.0 (-5 .0 ).0 .0 ).0 .0 24 2.4 2.8 3-2 3.6 4.0 8.0 12.0 16.0 20.0 3 •3 •7 .1 -5 .8 •7 •5 •3 .2 6 0.6 0.7 0.8 0.9 I.O 2.0 3-o 4.0 5.0 |
5 6 7 8 9 |
9.65 828 9-65 853 9.65 878 9.65 902 9.65 927 |
9.70 873 9.70 904 9-70 935 9.70 966 9.70 997 |
O.29 127 O.29 096 0.29 065 0.29 034 0.29 003 |
9-94 956 9.94 949 9-94 943 9-94 936 9.94 930 |
55 54 53 52 5i |
|||||||
10 ii 12 13 14 |
9-65 952 9.65 976 9.66 ooi 9.66 025 9.66 050 |
9.71 028 9.71 059 9.71 090 9.71 121 971 153 |
0.28 972 0.28 941 0.28 910 0.28 879 0.28 847 |
9-94 923 9-94 9J7 9-94 9H 9-94 9°4 9-94 898 |
50 49 48 47 46 |
|||||||
15 16 17 18 19 |
9.66 075 9.66 099 9.66 124 9.66 148 9.66 173 |
24 25 24 25 |
9.71 184 9.71 215 9.71 246 9.71 277 9.71 308 |
0.28 816 0.28 785 0.28 754 0.28 723 0.28 692 |
9-94 891 9-94 885 9-94 878 9.94 871 9 94 865 |
45 44 43 42 4i |
||||||
2O 21 22 23 24 |
9.66 197 9.66 221 9.66 246 9.66 270 9.66 295 |
24 25 24 25 |
9.71 339 9.71 370 9.71 401 9.71 431 9.71 462 |
0.28 661 0.28 630 0.28 599 0.28 569 0.28 538 |
9-94 858 9-94 852 9-94 845 9-94 839 9-94 832 |
40 39 38 37 36 |
||||||
25 26 27 28 29 |
9.66 319 9-66 343 9.66 368 9.66 392 9.66 416 |
24 25 24 24 |
9-7i 493 9-71 524 9-71 555 9.71 586 9.71 617 |
0.28 507 0.28 476 0.28 445 0.28 414 0.28 383 |
9.94 826 9-94 819 9-94 813 9.94 806 9-94 799 |
35 34 33 32 3i |
||||||
30 3i 32 33 34 |
9.66 441 9.66 465 9.66 489 9.66 513 9-66 537 |
25 24 24 24 24 25 24 24 24 24 |
9.71 648 9.71 679 9.71 709 9.71 740 9.71 771 |
0.28 352 0.28 321 0.28 291 0.28 260 0.28 229 |
9.94 793 9-94 786 9.94 780 9-94 773 9.94 767 |
30 29 28 27 26 |
||||||
35 36 37 38 39 |
9.66 562 9.66 586 9.66 610 9.66 634 9.66 658 |
9.71 802 9-7i 833 9.71 863 9.71 894 9.71 925 |
0.28 198 0.28 167 0.28 137 0.28 106 0.28 075 |
9-94 76o 9-94 753 9-94 747 9-94 740 9-94 734 |
25 24 23 22 21 ^O~ 19 18 17 16 |
|||||||
40 4i 42 43 44 |
9.66 682 9.66 706 9.66 731 9-66 755 9.66 779 |
24 24 25 24 24 |
9-71 955 9.71 986 9.72 017 9.72 048 9.72 078 |
0.28 045 0.28 014 0.27 983 0.27 952 0.27 922 |
9.94 727 9-94 720 9-94 714 9-94 707 9-94 700 |
|||||||
45 46 47 48 49 |
9.66 803 9.66 827 9.66 851 9.66 875 9.66 899 |
24 24 24 24 24 |
9.72 109 9.72 140 9.72 170 9.72 201 9.72 231 |
0.27 891 0.27 860 0.27 830 0.27 799 0.27 769 |
9-94 694 9.94 687 9.94 680 9-94 674 9.94 667 |
15 14 13 12 II |
||||||
5O Si 52 53 54 |
9.66 922 9.66 946 9.66 970 9.66 994 9.67 018 |
23 24 24 24 24 |
9.72 262 9-72 293 9.72 323 9-72 354 9.72 384 |
0.27 738 0.27 707 0.27 677 0.27 646 0.27 616 |
9.94 660 9.94 654 9-94 647 9.94 640 9-94 634 |
10 9 8 \ |
||||||
11 57 58 59 |
9.67 042 9.67 066 9.67 090 9.67 113 9.67 137 |
24 . 24 23 24 |
9-72 415 9-72 445 9.72 476 9.72 506 9-72 537 |
0.27 585 0.27 555 0.27 524 0.27 494 0.27 463 |
9.94 627 9.94 620 9-94 614 9-94 607 9.94 600 |
5 4 3 2 I |
||||||
60 |
9.67 161 |
9.72 567 |
0.27 433 |
9-94 593 |
7 |
0 |
||||||
L. Cos. |
d. |
L. Cotg. |
c. d. |
L.Tang. |
L. Sin. |
d. |
/• |
Prop. Pts. |
62<
28<
/• |
L. Sin. |
d. |
L.Tang. |
c. d. |
L.Cotg. |
L. Cos. |
d. |
Prop. Pts. |
|||
0 I 2 3 4 |
9.67 161 9.67 185 9.67 208 9.67 232 9.67 256 |
24 23 24 24 24 23 24 23 24 24 23 24 23 24 23 24 23 24 23 24 23 24 23 23 24 23 23 24 23 23 24 23 23 23 23 24 23 23 23 23 23 23 23 23 23 24 23 23 22 |
9.72 567 9.72 598 9.72 628 9.72 659 9.72 689 |
31 30 31 30 31 30 30 31 3° 31 3° 3° 3i 3<> 30 3i 30 30 3° 3i 3° 3° 30 30 3i 3° 3° 3° 3° 30 3i 30 30 30 30 3° 3<> 30 3° 30 30 3° 3° i° 3° 30 3° 3° 3° 30 30 3° 29 30 30 30 3<> 3<> 29 30 |
0.27 433 0.27 402 0.27 372 0.27 341 0.27 311 |
9-94 593 9-94 587 9-94 58o 9-94 573 9-94 567 |
6 7 7 6 7 7 7 6 7 7 7 6 7 7 7 7 6 7 7 7 7 6 7 7 7 7 7 6 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 |
60 59 58 57 56 |
6 7 8 9 10 20 3° 40 50 ] 2 4 c * 6 7 8 9 10 20 30 40 50 I 2 3 4 5 |
3i 3-1 3-6 4.1 4-7 5-2 10.3 15-5 20.7 25.8 2 6 2 7 3 8 3 9 4 o 4 so 9 o 14 ^o 19 o 24 *4 2-4 2.8 3-2 3-6 4.0 8.0 12.0 16.0 20.0 23 6 2 7 2 8 2 9 3 0 3- o 7 0 II. o 14. o 18 7 o-7 0.8 0.9 i.i 1.2 2-3 3-5 4-7 5-8 |
30 3-0 3-5 4.0 4-5 5-o IO.O 15.0 2O.O 25.0 9 •9 •4 •9 .8 •7 •5 •3 .2 33 2-3 2.7 I'l 3-8 7-7 "•5 15-3 19.2 2 6 9 3 7 3 o 7 3 6 0.6 0.7 0.8 0.9 I.O 2.0 3-0 4.0 5-0 |
5 6 7 8 9 |
9.67 280 9.67 303 9.67 327 9-67 350 9-67 374 |
9.72 720 9.72 750 9.72 780 9.72 8n 9.72 841 |
0.27 280 0.27 250 0.27 220 0.27 189 0.27 159 |
9.94 560 9-94 553 9-94 546 9-94 540 9-94 533 |
55 54 53 52 5i |
||||||
1O ii 12 13 14 |
9.67 398 9.67 421 9-67 445 9.67 468 9.67 492 |
9.72 872 9.72 902 9.72 932 9.72 963 9.72 993 |
0.27 128 0.27 098 0.27 068 0.27 037 O.27 OO7 |
9-94 526 9-94 519 9-94 513 9-94 506 9.94 499 |
5O 49 48 47 46 |
||||||
li 17 18 19 |
9-67 515 9-67 539 9.67 562 9.67 586 9.67 609 |
9.73 023 9-73 054 9-73 084 9-73 "4 9-73 144 |
0.26 977 0.26 946 0.26 916 0.26 886 0.26 856 |
9-94 492 9-94 485 9-94 479 9-94 472 9-94 465 |
45 44 43 42 4i |
||||||
2O 21 29 23 24 |
9.67 633 9 67 656 9.67 680 9.67 703 9.67 726 |
9-73 175 9-73 205 9-73 235 9-73 265 9-73 295 |
0.26 825 0.26 795 0.26 765 0.26 735 0.26 705 |
9-94 458 9-94 451 9-94 445 9-94 438 9-94 431 |
40 39 38 37 36 |
||||||
25 26 27 28 29 |
9.67 750 9.67 773 9.67 796 9.67 820 9.67 843 |
9.73 326 9-73 356 9-73 386 9-73 4i6 9-73 446 |
0.26 674 0.26 644 0.26 614 0.26 584 0.26 554 |
9.94 424 9-94 417 9-94 4io 9.94 404 9-94 397 |
35 34 33 32 3i |
||||||
30 3i 32 33 34 |
9.67 866 9.67 890 9-67 913 9.67 936 9-67 959 |
9 73 476 9-73 5°7 9-73 537 9-73 567 9-73 597 |
0.26 524 0.26 493 0.26 463 0.26 433 0.26 403 |
9-94 390 9-94 383 9-94 376 9.94 369 9-94 362 |
30 29 28 27 26 |
||||||
35 36 37 38 39 |
9.67 982 9.68 006 9.68 029 9.68 052 9-68 075 |
9.73 627 9-73 657 9-73 687 9-73 717 9-73747 |
0.26 373 0.26 343 0.26 313 0.26 283 0.26 253 |
9-94 355 9-94 349 9-94 342 9-94 335 9-94 328 |
25 24 23 22 21 |
||||||
40 4i 42 43 44 |
9.68 098 9.68 121 9.68 144 9.68 167 9.68 190 |
9-73 777 9 73 807 9-73 837 9-73 867 9-73 897 |
0.26 223 0.26 193 0.26 163 0.26 133 0.26 103 |
9-94 321 9-94 3H 9-94 307 9.94 300 9-94 293 |
20 19 18 17 16 |
||||||
45 46 47 48 49 |
9.68 213 9-68 237 9.68 260 9.68 283 9.68 305 |
9-73 927 9-73 957 9-73 987 9.74 017 9-74 047 |
0.26 073 0.26 043 0.26 013 0.25 983 0-25 953 |
9.94 286 9-94 279 9-94 273 9.94 266 9-94 259 |
15 14 13 12 II |
||||||
5O 5i 52 53 54 |
9.68 328 9-68 351 9-68 374 9.68 397 9.68 420 |
23 23 23 23 23 23 23 23 23 22 23 |
9-74 077 9 74 107 9-74 137 9.74 166 9-74 196 |
0.25 923 0.25 893 0.25 863 0.25 834 0.25 804 |
9-94 252 9-94 245 9-94 238 9-94 231 9.94 224 |
10 9 8 7 6 |
6 7 8 9 10 20 30 40 5° |
||||
55 56 57 58 59 |
9-68 443 9.68 466 9.68 489 9.68 512 9-68 534 |
9.74 226 9-74 256 9.74 286 9-74 3l6 9-74 345 |
0.25 774 0.25 744 0.25 714 0.25 684 0-25 655 |
9.94 217 9.94 210 9-94 203 9-94 I96 9.94 189 |
5 4 3 2 I |
||||||
60 |
9-68 557 |
9-74 375 |
0.25 625 |
9.94 182 |
7 |
0 |
|||||
L. Con. |
d. |
L.Cotg. c. d. L.Tnng. |
L. Sin. d. |
/ |
Prop. Pis. |
61
29<
f |
JL. Sin. |
d. |
L.Tang.c. d. L. Cotg. |
L. Cos. |
d. |
Prop. Pts. |
||||
o I 2 3 4 |
9-68 557 9.68 580 9.68 603 9.68 625 9.68 648 |
23 23 22 23 23 23 22 23 23 22 23 22 23 23 |
9-74 375 9-74 405 9-74 435 9-74 465 9.74 494 |
30 3° 30 29 3° 30 29 30 30 30 29 30 30 29 3° 3° 29 30 29 30 29 30 3° 29 30 29 30 29 30 29 30 29 30 29 29 3° 29 30 29 29 30 29 3° 29 29 30 29 29 29 30 29 29 29 30 29 29 29 3° 29 29 |
0.25 625 0-25 595 0-25 565 0.25 535 0.25 506 |
9.94 182 9-94 175 9.94 168 9.94 161 9-94 154 |
7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 8 7 7 7 7 7 8 7 7 7 7 8 7 7 7 8 7 7 7 7 8 7 7 |
60 59 58 57 56 |
6 7 8 9 10 20 30 |
30 3-o 3-5 4.0 4-5 S-o 10.0 15-0 20.0 25.0 29 2.9 3-4 3-9 4-4 4.8 9-7 14.5 19-3 24.2 23 2-3 2-7 3-i 3-5 3-8 7-7 "•5 15-3 19.2 22 2.2 2.6 2-9 3-3 3-7 7-3 II.O 14.7 18.3 8 7 .8 0.7 .9 0.8 .1 0.9 .2 I.I •3 L2 •7 2.3 •o 3-5 •3 4-7 •7 1 5-8 |
5 6 7 8 9 |
9.68 671 9.68 694 9.68 716 9.68 739 9.68 762 |
9-74 524 9-74 554 9-74 583 9.74 613 9-74 643 |
0.25 476 0.25 446 0.25 417 0.25 387 0.25 357 |
9-94 147 9-94 140 9-94 133 9.94 126 9-94 U9 |
55 54 53 52 Si |
|||||
10 ii 12 13 14 |
9.68 784 9.68 807 9.68 829 9.68 852 9.68 875 |
9-74 673 9-74 702 9-74 732 9-74 762 9.74 791 |
0.25 327 0.25 298 0.25 268 0.25 238 0.25 209 |
9.94 112 9-94 i°5 9.94 098 9-94 09° 9.94 083 |
50 49 48 47 46 |
40 50 6 7 8 9 10 20 3° 40 50 6 7 8 9 IO 20 30 ' 40 50 6 7 8 9 10 20 30 40 50 6 o 7 o 8 i 9 i 10 I 20 2 3° 4 40 5 50 6 |
||||
II 17 18 19 |
9.68 897 9.68 920 9.68 942 9.68 965 9.68 987 |
23 22 23 22 23 22 23 22 23 |
9.74 821 9-74 851 9.74 880 9.74 910 9-74 939 |
0.25 179 0.25 149 0.25 120 0.25 090 O.25 O6 I |
9.94 076 9-94 069 9.94 062 9-94 055 9-94 048 |
45 44 43 42 41 |
||||
20 21 22 23 24 |
9.69 oio 9.69 032 9-69 055 9.69 077 9.69 100 |
9-74 969 9.74 998 9-75 028 9-75 058 9-75 087 |
0.25 031 0.25 002 0.24 972 O.24 942 0.24 913 |
9.94 041 9.94 034 9-94 027 9.94 020 9-94 OI2 |
40 39 38 i |
|||||
25 26 27 28 29 |
9.69 122 9.69 144 9.69 167 9.69 189 9.69 212 |
22 23 22 23 |
9-75 "7 9-75 146 9-75 176 9-75 205 9-75 235 |
0.24 883 0.24 854 0.24 824 0.24 795 0.24 765 |
9.94 005 9-93 998 9-93 99i 9-93 984 9-93 977 |
35 34 33 32 3i |
||||
30 3i 32 33 34 |
9-69 234 9.69 256 9.69 279 9.69 301 9.69 323 |
22 23 22 22 22 23 22 22 22 22 23 22 22 22 |
9.75 264 9-75 294 9-75 323 9-75 353 9-75 382 |
0.24 736 0.24 706 0.24 677 0.24 647 0.24 618 |
9-93 970 9-93 963 9-93 955 9-93 948 9-93 94i |
30 29 28 27 26 |
||||
35 36 37 38 39 |
9-69 345 9.69 368 9.69 390 9.69 412 9.69 434 |
9-75 4" 9-75 44i 9-75 470 9-75 500 9-75 529 |
0.24 589 0.24 559 0.24 530 0.24 500 0.24 471 |
9-93 934 9-93 927 9-93 920 9-93 912 9-93 905 |
25 24 23 22 21 |
|||||
4O 4i 42 43 44 |
9.69 456 9.69 479 9.69 501 9-69 523 9-69 545 |
9-75 558 9-75 588 9-75 617 9-75 647 9-75 676 |
0.24 442 0.24 412 0.24 383 0.24 353 0.24 324 |
9-93 898 9-93 891 9-93 884 9.93 876 9-93 869 |
»0 *9 18 17 16 |
|||||
45 46 47 48 49 |
9.69 567 9.69 589 9.69 611 9.69 633 9-69 655 |
22 22 22 22 22 22 22 22 22 |
9-75 705 9-75 735 9-75 764 9-75 793 9-75 822 |
0.24 295 0.24 265 0.24 236 0.24 207 0.24 178 |
9.93 862 9-93 855 9-93 847 9-93 840 9-93 833 |
15 14 13 12 II |
||||
50 Si 52 53 54 |
9.69 677 9.69 699 9.69 721 9-69 743 9.69 765 |
9-75 852 9-75 881 9-75 9io 9-75 939 9-75 969 |
0.24 148 0.24 119 0.24 090 0.24 06 1 0.24 031 |
9.93 826 9-93 819 9-93 8n 9-93 804 9-93 797 |
10 9 8 7 6 |
|||||
3 57 58 59 |
9.69 787 9.69 809 9-69 831 9-69 853 9.69 875 |
22 22 22 22 22 |
9-75 998 9.76 027 9.76 056 9.76 086 9.76 115 |
0.24 002 0.23 973 0.23 944 0.23 914 0.23 885 |
9-93 789 9-93 782 9-93 775 9 93 768 9.93 760 |
7 7 7 8 |
5 4 3 2 I |
|||
60 |
9.69 897 |
9.76 144 |
0.23 856 |
9-93 753 |
7 |
0 |
||||
L. Cos. |
d. |
L. Cotg. |
c. d. |
L.Tang. |
L. Sin. |
d. |
r |
Prop. Pts. |
60C
30C
/• |
L. Sin. |
d. |
L.Tang. c. d.' L. Cotg. |
L. Cos. j d. |
Prop. ] |
Pts. |
||||
o I 2 3 4 |
9.69 897 9.69 919 9.69 941 9.69 963 9.69 984 |
22 22 22 21 |
9.76 144 9.76 173 9.76 202 9.76 231 9.76 261 |
29 29 29 3° 29 29 29 29 29 29 29 29 29 29 29 29 30 29 29 28 29 29 29 29 29 29 29 29 29 29 29 29 28 29 29 29 .-29 29 28 29 29 29 29 a8 29 29 29 28 29 29 28 29 29 29 28 29 28 29 29 28 |
0.23 856 0.23 827 0.23 798 0.23 769 0.23 739 |
9-93 753 9-93 746 9-93 738 9-93 73i 9-93 724 |
7 8 7 7 7 8 7 7 8 7 7 8 7 8 7 7 8 7 7 8 7 8 7 7 8 7 8 7 8 7 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8 8 7 8 7 8 7 |
GO 59 58 57 56 |
3 6 3 7 3 8 4 9 A i° 5 20 1C 30 is 4O 2C 50 25 6 7 8 9 10 20 30 40 50 6 7 8 9 10 20 3° 40 50 6 7 8 9 10 20 30 40 50 6 c 7 c 8 i 9 * 10 I 20 2 3° A 40 5 50 t |
o 29 .0 2.9 •5 3-4 .0 3.9 •5 4-4 .0 4.8 .0 9.7 .0 14.5 .0 19.3 .0 24.2 28 2.8 3-3 3-7 4.2 4-7 9-3 14.0 18.7 23-3 22 2.2 2.6 2.9 3-3 3-7 7-3 II.O 14.7 18.3 21 2.1 2-5 2.8 3-2 3.5 7.0 10.5 14.0 17.5 8 7 .8 0.7 .9 0.8 .1 0.9 .2 I.I .3 i.a •7 2-3 •o 3-5 •3 4-7 •7 5-8 |
1 7 8 9 |
9.70 006 9.70 028 9.70 050 9.70 072 9.70 093 |
22 22 22 21 22 22 22 21 22 22 21 22 21 22 22 21 22 21 22 |
9.76 290 9-76 3*9 9.76 348 9.76 377 9.76 406 |
0.23 710 0.23 68 1 0.23 652 0.23 623 0-23 594 |
9-93 717 9-93 709 9-93 702 9-93 695 9-93 687 |
55 54 53 52 51 |
||||
1O II 12 13 14 |
9.70 115 9.70 137 9.70 159 9.70 180 9.70 202 |
9-76 435 9.76 464 9-76 493 9.76 522 9-76 551 |
0.23 565 0.23 536 0.23 507 0.23 478 0.23 449 |
9.93 680 9-93 673 9-93 665 9-93 658 9-93 650 |
50 49 48 47 46 |
|||||
IS 16 17 18 19 |
9.70 224 9.70 245 9.70 267 9.70 288 9.70 310 |
9.76 580 9.76 609 9.76 639 9.76 668 9.76 697 |
0.23 420 0.23 391 0.23 361 0.23 332 0.23 303 |
9-93 643 9-93 636 9-93 628 9-93 621 9-93 614 |
45 44 43 42 41 |
|||||
20 21 22 23 24 |
9.70 332 9-70 353 9-70 375 9.70 396 9.70 418 |
9.76 725 9-76 754 9.76 783 9.76 812 9.76 841 |
0.23 275 0.23 246 0.23 217 0.23 188 0.23 159 |
9-93 606 9-93 599 9-93 591 9-93 584 9-93 577 |
40 39 38 11 |
|||||
25 26 27 28 29 |
9-7° 439 9.70 461 9.70 482 9.70 504 9-70 525 |
22 21 22 21 |
9.76 870 9.76 899 9.76 928 9-76 957 9.76 986 |
0.23 130 0.23 101 0.23 072 0.23 043 0.23 014 |
9-93 569 9-93 562 9-93 554 9-93 547 9-93 539 |
35 34 33 32 3i |
||||
30 3i 32 33 34 |
9-70 547 9.70 568 9.70 590 9.70 611 9.70 633 |
21 22 21 22 |
9.77 015 9-77 044 9-77 073 9.77 101 9-77 130 |
0.22 985 0.22 956 0.22 927 O.22 899 0.22 870 |
9-93 532 9-93 525 9-93 517 9-93 5io 9-93 502 |
30 29 28 27 26 |
||||
H 37 38 39 |
9.70 654 9.70 675 9.70 697 9.70 718 9.70 739 |
21 22 21 21 |
9-77 159 9.77 188 9-77 217 9.77 246 9.77 274 |
0.22 841 O.22 8l2 0.22 783 0.22 754 O.22 726 |
9-93 495 9-93 487 9-93 48o 9-93 472 9-93 465 |
25 24 23 22 21 |
||||
4O 4i 42 43 44 |
9.70 761 9.70 782 9.70 803 9.70 824 9.70 846 |
21 21 21 22 |
9-77 303 9-77 332 9-77 361 9.77 390 9-77 4i8 |
O.22 697 0.22 668 O.22 639 0.22 6lO O.22 582 |
9-93 457 9-93 450 9-93 442 9-93 435 9-93 427 |
20 19 18 17 16 |
||||
45 46 47 48 49 |
9.70 867 9.70 888 9.70 909 9.70 931 9.70 952 |
21 21 22 21 21 21 21 21 22 21 21 21 91 21 21 |
9-77 447 9-77 476 9-77 505 9-77 533 9-77 562 |
0.22 553 0.22 524 0.22 495 0.22 467 O.22 438 |
9-93 420 9-93 412 9-93 405 9-93 397 9-93 390 |
15 14 13 12 II |
||||
50 Si 52 53 54 |
9.70 973 9.70 994 9.71 015 9-71 036 9.71 058 |
9-77 59i 9-77 619 9-77 648 9-77 677 9.77 706 |
O.22 409 0.22 381 0.22 352 0.22 323 0.22 294 |
9-93 382 9-93 375 9-93 367 9-93 3°° 9-93 352 |
10 9 8 7 6 |
|||||
55 56 57 58 59 |
9.71 079 9.71 100 9.71 I2i 9.71 142 9-71 163 |
9-77 734 9-77 763 9-77 791 9 77 820 9-77 849 |
0.22 266 0.22 237 0.22 209 0.22 ISO 0.22 151 |
9-93 344 9-93 337 9-93 329 9.93 322 9-93 314 |
5 4 3 2 I |
|||||
60 |
9.71 184 |
9-77 877 |
0.22 123 |
9-93 3<V |
0 |
|||||
1.. Cog. i d. |
L. Cotg. c. d. L.Taiig. |
L. Sin. d. |
r |
I'rop. |
Pt8. |
59'
31
53
/• |
L. Sin. |
d. |
L.Tang. |
c. d. |
L. Cotg. |
L. Cos. |
d. |
Pro] |
>, Pts. |
|
o I 2 3 4 |
9.71 184 9-71 205 9.71 226 9.71 247 9.71 268 |
21 21 21 21 |
9.77 877 9-77 906 9-77 935 9-77 963 9.77 992 |
29 29 28 29 28 |
O.22 123 0.22 094 O.22 065 0.22 037 O.22 OO8 |
9-93 307 9-93 299 9-93 291 9-93 284 9.93 276 |
8 8 7 8 |
60 59 58 57 56 |
6 7 |
29 2.9 3.4 |
5 6 7 8 9 |
9.71 289 9.71 310 9-71 33i 9-7i 352 9-71 373 |
21 21 21 21 |
9.78 020 9.78 049 9.78 077 9.78 106 9.78 135 |
29 28 29 29 28 |
0.21 980 O.2I 951 0.21 923 O.2I 894 0.21 865 |
9.93 269 9.93 26! 9-93 253 9-93 246 9-93 238 |
8 8 7 8 g |
55 54 53 52 5i |
8 9 10 20 3° |
3-9 4-4 4.8 9-7 14-5 |
10 ii 12 13 14 |
9-71 393 9.71 414 9-7i 435 9-7i 456 9.71 477 |
21 21 21 21 |
9.78 163 9.78 192 9.78 220 9.78 249 9.78 277 |
29 28 29 28 |
O.2I 837 0.21 808 O.2I 780 0.21 751 0.21 723 |
9.93 230 9-93 223 9-93 215 9-93 207 9.93 200 |
7 8 8 7 g |
5O 49 48 47 46 |
40 50 |
19-3 24.2 28 |
IS 16 17 18 19 |
9.71 498 9-7i 519 9-7i 539 9.71 560 9.71 581 |
21 20 21 21 |
9.78 306 9-78 334 9.78 363 9.78 391 9.78 419 |
28 29 28 28 |
0.21 694 0.21 666 O.2I 637 0.21 609 O.2I 581 |
9-93 192 9-93 184 9-93 177 9.93 169 9-93 161 |
8 7 8 8 |
45 44 43 42 4i |
6 7 8 9 10 |
2.8 3-3 3-7 4-2 4-7 |
20 21 22 23 24 |
9.71 602 9.71 622 9.71 643 9.71 664 9.71 685 |
20 21 21 21 |
9.78 448 9.78 476 9-78 505 9-78 533 9.78 562 |
29 28 29 28 29 |
0.21 552 0.21 524 0.21 495 O.2I 467 0.21 438 |
9-93 154 9-93 X46 9-93 138 9-93 131 9-93 123 |
7 8 8 7 8 g |
40 39 38 37 36 |
20 30 40 50 |
9-3 14.0 18.7 23-3 |
25 26 27 28 29 |
9.71 705 9.71 726 9.71 747 9.71 767 9.71 788 |
21 21 20 21 |
9.78 590 9.78 618 9.78 647 9.78 675 9.78 704 |
28 29 28 29 |
O.2I 4IO 0.21 382 0.21 353 0.21 325 O.2I 296 |
9-93 "5 9-93 108 9-93 ioo 9-93 092 9.93 084 |
7 8 8 8 |
35 34 33 32 3i |
6 7 8 |
21 2.1 2-5 2.8 |
30 3i 32 33 34 |
9.71 809 9.71 829 9.71 850 9.71 870 9.71 891 |
20 21 20 21 |
9.78 732 9.78 760 9.78 789 9.78 817 9.78 845 |
28 29 28 28 |
O.2I 268 O.2I 240 0.21 211 0.21 183 0.21 155 |
9-93 077 9-93 069 9-93 061 9-93 053 9.93 046 |
8 8 8 7 |
3O 29 28 27 26 |
9 10 20 3° 40 |
3-2 3-5 7.0 10.5 14.0 |
35 36 37 38 39 |
9.71 911 9.71 932 9-7i 952 9-7i 973 9.71 994 |
21 20 21 21 |
9.78 874 9.78 902 9.78 930 9-78 959 9.78 987 |
29 28 28 29 28 |
0.21 126 0.21 098 O.2I 070 0.21 041 O.2I OI3 |
9-93 038 9-93 030 9.93 022 9-93 014 9-93 007 |
8 8 8 7 |
25 24 23 22 21 |
5° 6 |
*7-5 20 2.0 |
40 4i 42 43 44 |
9.72 014 9.72 034 9-72 055 9.72 075 9.72 096 |
2O 21 2O 21 |
9.79 015 9-79 043 9.79 072 9.79 100 9.79 128 |
28 29 28 28 |
0.20 985 0.20 957 0.20 928 0.20 900 O.2O 872 |
9.92 999 9.92 991 9.92 983 9.92 976 9.92 968 |
8 8 7 8 |
20 19 18 17 16 |
7 8 9 10 20 |
2-3 2.7 3-0 3-3 6-7 |
45 46 47 48 49 |
9.72 116 9.72 137 9.72 157 9.72 177 9.72 198 |
21 20 2O 21 |
9-79 156 9.79 185 9-79 213 9-79 24i 9.79 269 |
29 28 28 28 |
0.20 844 0.20 815 0.20 787 0.20 759 0.20 731 |
9.92 960 9.92 952 9.92 944 9.92 936 9.92 929 |
8 8 8 7 |
15 14 13 12 II |
40 50 |
13-3 16.7 |
50 5i 52 53 54 |
9.72 218 9.72 238 9.72 259 9.72 279 9.72 299 |
20 21 20 2O |
9-79 297 9-79 S26 9-79 354 9.79 382 9.79 410 |
29 28 28 28 |
O.2O 703 O.2O 674 O.2O 646 0.20 618 O.2O 590 |
9.92 921 9.92 913 9.92 905 9.92 897 9.92 889 |
8 8 8 8 |
10 9 8 6 |
6 c 7 c 8 i 9 i |
7 .8 0.7 (.9 0.8 .1 0.9 .2 I.I |
55 56 57 58 59 |
9.72 320 9.72 340 9.72 360 9.72 381 9.72 401 |
2O 2O 21 20 |
9-79 438 9.79 466 9-79 495 9-79 523 9-79 55i |
28 29 28 28 |
O.2O 562 0.20 534 0.20 505 0.20 477 0.20 449 |
9.92 881 9-92 874 9.92 866 9.92 858 9.92 850 |
7 8 8 8 |
5 4 3 2 I |
2O 2 30 A 4«> S 50 6 |
z.a •7 2.3 •o 3-5 •3 4-7 •7 5-8 |
60 |
9.72 421 |
9-79 579 |
O.2O 421 |
9.92 842 |
0 |
|||||
L. Cos. |
d. |
L. Cotg. |
c. d. |
L.Tang. |
L. Sin. |
d. |
/• |
Proj |
.Pts. |
58(
54
32'
r |
L. Sin. |
d. |
L.Tang. |
c. d. |
L. Cotg. |
L. Cos. |
d. |
Ft |
op. 1 |
*ts. |
|
0 i 2 3 4 |
9.72 421 9.72 441 9.72 461 9.72 482 9.72 502 |
20 20 21 2O |
9-79 579 9.79 607 9-79 635 9.79 663 9-79 691 |
28 28 28 28 28 |
O.2O 421 0.20 393 O.2O 365 0.20 337 O.2O 309 |
9.92 842 9.92 834 9.92 826 9.92 818 9.92 810 |
8 8 8 8 |
60 59 58 57 56 |
6 7 |
29 2-9 0 A |
28 2.8 o.o |
6 7 8 9 |
9.72 522 9.72 542 9-72 562 9.72 582 9.72 602 |
20 20 20 20 |
9.79 719 9-79 747 9-79 776 9-79 804 9-79 832 |
28 29 28 28 28 |
O.2O 28l 0.20 253 O.2O 224 0.20 196 0.20 168 |
9.92 803 9-92 795 9.92 787 9.92 779 9.92 771 |
8 8 8 8 g |
55 54 53 52 5i |
8 9 10 20 30 |
3-9 4.4 4.8 9-7 14-5 |
3-7 4.2 4-7 9-3 14.0 |
1O ii 12 13 14 |
9.72 622 9.72 643 9.72 663 9.72 683 9.72 703 |
21 20 20 2O |
9.79 860 9.79 888 9-79 9i6 9-79 944 9-79 972 |
28 28 28 28 28 |
O.2O 140 O.2O 112 0.20 084 0.20 056 O.2O O28 |
9.92 763 9-92 755 9.92 747 9.92 739 9.92 731 |
8 8 8 8 g |
50 49 48 47 46 |
40 50 |
19-3 24.2 a |
18.7 23-3 7 |
II 17 18 19 |
9.72 723 9-72 743 9.72 763 9.72 783 9.72 803 |
2O 20 20 2O |
9.80 ooo 9.80 028 9.80 056 9.80 084 9.80 112 |
28 28 28 28 28 |
O.2O OOO 0.19 972 0.19 944 0.19 916 0.19 888 |
9.92 723 9.92 715 9.92 707 9.92 699 9.92 691 |
8 8 8 8 g |
45 44 43 42 4i |
] |
6 2 7 3 8 3 9 4 [O 4 |
•7 .2 .6 .1 •5 |
SO 21 22 23 24 |
9.72 823 9.72 843 9.72 863 9.72 883 9.72 902 |
20 20 20 *9 |
9.80 140 9.80 168 9.80 195 9.80 223 9.80 251 |
28 27 28 28 28 |
0.19 860 0.19 832 0.19 805 0.19 777 0.19 749 |
9.92 683 9.92 675 9.92 667 9.92 659 9.92 651 |
8 8 8 8 |
4O 39 38 | |
i |
jo 9 *o 13 (.0 18 ;o 22 |
.0 •5 .0 •5 |
25 26 27 28 29 |
9.72 922 9.72 942 9.72 962 9.72 982 9.73 002 |
20 20 20 2O |
9.80 279 9.80 307 9-8o 335 9.80 363 9.80 391 |
28 28 28 28 |
0.19 721 0.19 693 0.19 665 0.19 637 0.19 609 |
9.92 643 9-92 635 9.92 627 9.92 619 9.92 611 |
8 8 8 8 |
35 34 33 32 3i |
6 7 8 |
ai 2.1 2-5 2.8 |
20 2.0 2-3 2.7 |
30 3i 32 33 34 |
9-73 022 9-73 041 9.73 061 9-73 °8i 9-73 ioi |
J9 20 20 2O |
9.80 419 9.80 447 9.80 474 9.80 502 9.80 530 |
28 27 28 28 |
0.19 581 0-19 553 0.19 526 0.19 498 0.19 470 |
9.92 603 9-92 595 9.92 587 9-92 579 9.92 571 |
8 8 8 8 |
3O 29 28 27 26 |
9 10 20 30 40 |
3-2 3-5 7.0 10.5 14.0 |
3-0 3-3 6-7 10.0 J3'3 |
35 36 37 38 39 |
9-73 121 9.73 140 9-73 160 9-73 180 9.73 200 |
19 2O 20 20 |
9-80 558 9.80 586 9.80 614 9.80 642 9.80 669 |
28 28 28 27 |
0.19 442 0.19 414 0.19 386 0-19 358 0.19 331 |
9-92 563 9-92 555 9.92 546 9-92 538 9-92 530 |
8 9 8 8 |
25 24 23 22 21 |
5° 6 |
J7-5 19 1.9 |
10.7 9 0.9 |
40 4i 42 43 44 |
9-73 219 9-73 239 9-73 259 9-73 278 9-73 298 |
*9 20 20 19 20 |
9.80 697 9.80 725 9-8o 753 9.80 781 9.80 808 |
28 28 28 27 |
0.19 303 0.19 275 0.19 247 0.19 219 0.19 192 |
9.92 522 9.92 514 9.92 506 9.92 498 9.92 490 |
8 8 8 8 |
2O 19 18 17 16 |
7 8 9 10 20 |
2.2 2-5 2.9 3-2 6.3 |
I.I 1.2 1.4 i-S 3-0 |
45 46 47 48 49 |
9-73 3i8 9-73 337 9-73 357 9-73 377 9-73 396 |
»9 20 20 19 |
9.80 836 9.80 864 9.80 892 9.80 919 9.80 947 |
28 28 27 28 _o |
0.19 164 0.19 136 0.19 108 0.19 081 0.19 053 |
9.92 482 9-92 473 9.92 465 9-92 457 9.92 449 |
9 8 8 8 g |
15 14 13 12 II |
3° 40 50 |
9-5 12.7 15-8 8, |
4-5 6.0 7-5 |
50 Si 52 53 54 |
9-73 4i6 9-73 435 9-73 455 9-73 474 9-73 494 |
19 20 19 2O |
9.80 975 9.81 003 9.81 030 9.81 058 9.81 086 |
28 27 28 28 |
0.19 025 o.i 8 997 o.i 8 970 o.i 8 942 0.18 914 |
9.92 441 9-92 433 9.92 425 9.92 416 9.92 408 |
8 8 9 8 g |
10 9 8 7 6 |
6 8 9 10 |
0.8 0.9 i.i 1.2 I 3 |
7 0.7 0.8 0.9 i.i I 2 |
55 56 57 58 59 |
9-73 513 9-73 533 9-73 552 9-73 572 9-73 59i |
J9 20 i9 20 »9 |
9.81 113 9.81 141 9.81 169 9.81 196 9.81 224 |
27 28 28 27 28 |
0.18 887 o.i 8 859 0.18 831 o.i 8 804 o.i 8 776 |
9.92 400 9.92 392 9.92 384 9.92 376 9.92 367 |
8 8 8 9 | |
5 4 3 2 I |
20 30 40 50 |
2.7 4.0 5-3 6-7 |
2-3 3-5 4-7 5-8 |
00 |
9-73 611 |
9.81 252 |
o.i 8 748 |
9-92 359 |
0 |
||||||
L. COB. |
d. |
L. Cotg. |
C. d. |
I..T.-MI-. |
L. Sin. |
d. |
f |
Pi |
op. 1 |
Ms. |
57'
33C
55
r |
L.. Sin. |
d. |
L.Tang. c. d. |
L.Cotg. |
L. Cos. |
d. |
Prop. |
Pts. |
|||
O i 2 3 4 |
9-73 6n 9-73 630 9-73 650 9-73 669 9-73 689 |
J9 20 19 2O 19 J9 20 X9 19 20 T9 19 20 19 19 20 *9 J9 19 *9 20 '9 19 '9 J9 20 J9 19 r9 |
9.81 252 9.81 279 9.81 307 9-8i 335 9.81 362 |
27 28 28 27 28 28 27 28 27 28 28 27 28 27 28 27 28 27 28 27 28 27 28 27 28 27 28 27 28 27 28 27 28 27 27 28 27 28 27 27 28 27 28 27 27 28 27 27 28 27 27 28 27 27 27 28 27 27 27 28 |
o.i 8 748 0.18 721 0.18 693 o.i 8 665 0.18 638 |
9-92 359 9-92 35i 9-92 343 9-92 335 9-92 326 |
8 8 8 9 8' 8 8 9 8 8 8 9 8 8 9 8 8 8 9 8 8 9 8 8 9 8 8 9 8 8 9 8 8 9 8 9 8 8 9 8 9 8 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 |
6O 59 58 57 56 |
6 8 9 10 20 30 |
2 '* ' < <• C ll Ij 2^ |
8 27 5.8 2.7 !-3 3-2 t-7 3-6 [.2 4.1 \-7 4-5 )-3 9-o ^o 13-5 .7 18.0 1-3 22.5 20 2.0 2-3 2.7 3-0 11 10.0 13-3 16.7 19 i-9 2.2 2-5 2.9 3-2 6-3 9-5 12.7 15-8 18 1.8 2.1 2.4 2.7 3-° 6.0 9.0 12.0 15-0 9 8 .9 0.8 .1 0.9 .2 I.I .4 1.2 •5 i-3 .0 2.7 •5 4-o •o 5-3 •5 6.7 |
5 6 7 8 9 |
9-73 708 9-73 727 9-73 747 9-73 766 9-73 785 |
9.81 390 9.81 418 9.81 445 9-8i 473 9.81 500 |
0.18 610 0.18 582 0.18 555 0.18 527 0.18 500 |
9.92 318 9.92 310 9.92 302 9.92 293 9.92 285 |
55 54 53 52 5i |
||||||
10 II 12 13 14 |
9-73 805 9-73 824 9-73 843 9-73 863 9-73 882 |
9.81 528 9.81 556 9-8i 583 9.81 611 9.81 638 |
0.18 472 0.18 444 0.18 417 0.18 389 0.18 362 |
9.92 277 9.92 269 9.92 260 9.92 252 9-92 244 |
5O 49 48 47 46 |
40 5° |
|||||
15 16 17 18 19 |
9-73 9°i 9-73 921 9-73 94° 9-73 959 9-73 978 |
9.81 666 9.81 693 9.81 721 9.81 748 9.81 776 |
0.18 334 o.i 8 307 o.i 8 279 0.18 252 o.i 8 224 |
9-92 235 9.92 227 9.92 219 9.92 211 9.92 2O2 |
45 44 43 42 4i |
6 7 8 9 10 |
|||||
20 21 22 23 24 |
9-73 997 9.74 017 9.74 036 9-74 055 9-74 074 |
9.81 803 9.81 831 9.81 858 9.81 886 9.81 913 |
0.18 197 0.18 169 o.i 8 142 0.18 114 0.18 087 |
9.92 194 9.92 186 9.92 177 9.92 169 9.92 161 |
4O 39 38 37 36 |
2 3 4 S I 2 3 A 5 i 2 3 4 5 6 7 8 9 10 20 3° 40 So |
O o o o 6 7 8 9 0 0 0 0 0 6 7 8 9 o 0 0 0 0 c I I I I 3 4 6 7 |
||||
25 26 27 28 29 |
9-74 093 9-74 H3 9.74 132 9-74 151 9-74 170 |
9.81 941 9.81 968 9.81 996 9.82 023 9.82 051 |
0.18 059 o.i 8 032 0.18 004 0.17 977 0.17 949 |
9.92 152 9.92 144 9.92 136 9.92 127 9.92 119 |
35 34 33 32 3i |
||||||
30 3i 32 33 34 |
9.74 189 9.74 208 9.74 227 9.74 246 9-74 265 |
*9 19 19 19 19 19 19 J9 19 J9 |
9.82 078 9.82 106 9.82 133 9.82 161 9.82 188 |
0.17 922 0.17 894 0.17 867 0.17 839 0.17 812 |
9.92 in 9.92 IO2 9.92 094 9.92 086 9.92 077 |
30 29 28 27 26 |
|||||
35 36 37 38 39 |
9-74 284 9-74 303 9-74 322 9-74 341 9.74 360 |
9.82 215 9.82 243 9.82 270 9.82 298 9.82 325 |
0.17 785 0.17 757 0.17 73° 0.17 702 0.17 675 |
9.92 069 9.92 060 9.92 052 9.92 044 9-92 035 |
25 •24 23 22 21 |
||||||
4O 4i 42 43 44 |
9.74 379 9-74 398 9-74 417 9-74 436 9-74 455 |
*9 19 T9 T9 19 19 19 19 19 18 *9 *9 19 19 19 18 19 19 19 18 J9 |
9.82 352 9.82 380 9.82 407 9-82 435 9.82 462 |
0.17 648 0.17 620 0.17 593 0.17 565 0.17538 |
9.92 027 9.92 018 9.92 oio 9.92 002 9-9i 993 |
2O 19 18 17 16 |
|||||
45 46 47 48 49 |
9-74 474 9-74 493 9.74 512 ' 9-74 53i 9-74 549 |
9.82 489 9.82 517 9.82 544 9.82 571 9.82 599 |
0.17511 0.17483 0.17 456 0.17 429 0.17 401 |
9.91 985 9.91 976 9.91 968 9-9i 959 9.91 951 |
15 14 13 12 II |
||||||
5O 5i 52 53 54 |
9.74 568 9-74 587 9.74 606 9-74 625 9-74 644 |
9.82 626 9.82 653 9.82 681 9.82 708 9-82 735 |
0.17 374 0.17 347 0.17 319 0.17 292 0.17 265 |
9.91 942 9-9i 934 9.91 925 9.91 917 9.91 908 |
10 9 8 7 6 |
||||||
55 56 57 58 59 |
9.74 662 9.74 68 1 9-74 700 9-74 719 9-74 737 |
9.82 762 9.82 790 9.82 817 9.82 844 9.82 871 |
0.17 238 O.I7 2IO 0.17 183 O.I7 156 0.17 129 |
9.91 900 9.91 891 9.91 883 9.91 874 9.91 866 |
5 4 3 2 I |
||||||
6O |
9-74 756 |
9.82 899 |
0.17 ioi |
9.91 857 |
9 |
O |
|||||
L. Cos. |
d. |
L. Cotg. |
c. d. |
L.Tang. |
L. Sin. |
d. |
/• |
Prop. Pts. |
56C
34C
r |
L. Sin. |
d. |
L.Tang. c. d. |
L. Cotg. |
L. Cos. |
d. |
Prop. Pts. |
|||
0 i 2 3 4 |
9-74 756 9-74 775 9-74 794 9.74 812 9-74 831 |
19 19 18 19 19 18 X9 19 18 *9 18 19 J9 18 19 18 19 18 19 18 19 18 '9 18 J9 18 T9 18 18 19 18 19 18 18 |
9.82 899 9.82 926 9-82 953 9.82 980 9.83 008 |
27 27 27 28 27 27 27 28 27 27 27 27 27 28 27 27 27 27 27 27 28 27 27 27 27 27 27 27 27 27 27 28 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27 26 27 27 27 27 27 27 27 27 27 |
0.17 101 0.17 074 0.17 047 0.17 020 0.16 992 |
9.91 857 9.91 849 9.91 840 9.91 832 9.91 823 |
8 9 8 9 g |
60 59 58 1 |
2 6 2 7 3 8 3 9 4 10 4 20 9 30 14 40 18 50 23 6 7 8 9 10 20 3° 40 50 6 7 8 9 10 20 30 40 50 6 7 8 9 10 20 3° 40 . 50 6 c 7 i 8 i 9 * 10 I 20 3 3° 4 40 6 50 7 |
3 37 .8 2.7 •3 3-2 -7 3-6 .2 4.1 •7 4-5 •3 9-° •o 13-5 .7 18.0 •3 22.5 26 2.6 3-o 3-5 3-9 4-3 8-7 13.0 17-3 21.7 19 i-9 2.2 2-5 2.9 i',2 9-5 12.7 15-8 18 1.8 2.1 2.4 2.7 3-o 6.0 9.0 12. 0 15-0 9 8 .9 0.8 .1 0.9 .2 I.I .4 1.2 •5 1-3 .0 2.7 •5 4-0 •o 5-3 •5 6.7 |
5 6 7 8 9 |
9-74 850 9.74 868 9-74 887 9-74 9°6 9-74 924 |
9-83 035 9.83 062 9.83 089 9.83 117 9.83 144 |
0.16 965 0.16 938 0.16 911 0.16 883 0.16 856 |
9.91 815 9.91 806 9.91 798 9.91 789 9.91 781 |
9 8 9 8 |
55 54 53 52 5i |
||||
1O II 12 13 14 |
9-74 943 9-74 96i 9-74 98o 9-74 999 9-75 oi7 |
9.83 171 9.83 198 9.83 225 9.83 252 9.83 280 |
0.16 829 0.16 802 0.16 775 o.i 6 748 o.i 6 720 |
9.91 772 9.91 763 9-9i 755 9.91 746 9.91 738 |
9 8 9 8 9 9 8 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9 9 8 9 9 8 9 9 9 8 9 9 9 9 g |
5O 49 48 47 46 |
||||
IS 16 17 18 19 |
9-75 036 9-75 054 9-75 073 9-75 091 9-75 no |
9-83 307 9-83 334 9.83 361 9.83 388 9-83 415 |
0.16 693 0.16 666 0.16 639 0.16 612 0.16 585 |
9.91 729 9.91 720 9.91 712 9.91 703 9.91 695 |
45 44 43 42 41 |
|||||
2O 21 22 23 24 |
9-75 128 9-75 147 9-75 165 9-75 184 9-75 202 |
9.83 442 9.83 470 9-83 497 9-83 524 9-83 55i |
0.16 558 0.16 530 o.i 6 503 o.i 6 476 0.16 449 |
9.91 686 9.91 677 9.91 669 9.91 660 9.91 651 |
40 39 38 P |
|||||
25 26 27 28 29 |
9-75 221 9-75 239 9-75 258 9-75 276 9-75 294 |
9-83 578 9.83 605 9.83 632 9-83 659 9.83 686 |
0.16 422 0.16 395 0.16 368 0.16 341 0.16 314 |
9.91 643 9.91 634 9.91 625 9.91 617 9.91 608 |
35 34 33 32 3i |
|||||
30 3i 32 33 34 |
9-75 313 9-75 33i 9-75 350 9-75 368 9-75 386 |
9-83 713 9.83 740 9-83 768 9-83 795 9.83 822 |
0.16 287 o.i 6 260 0.16 232 0.16 205 0.16 178 |
9-91 599 9.91 591 9.91 582 9-91 573 9-9i 565 |
30 29 28 27 26 |
|||||
35 36 37 38 39 |
9-75 405 9-75 423 9-75 44i 9-75 459 9-75 478 |
T9 18 18 18 J9 18 18 *9 18 18 18 18 19 •a 18 18 18 18 19 18 18 18 18 18 18 18 |
9.83 849 9.83 876 9-83 903 9-83 930 9-83 957 |
0.16 151 0.16 124 0.16 097 o.i 6 070 0.16 043 |
9-9i 556 9-9i 547 9-9i 538 9-9i 530 9.91 521 |
25 24 23 22 21 |
||||
40 4i 42 43 44 |
9-75 496 9-75 514 9-75 533 9-75 55i 9-75 569 |
9.83 984 9.84 on 9.84 038 9-84 065 9.84 092 |
0.16 016 0.15 989 0.15 962 0.15 935 0.15 908 |
9.91 512 9.91 504 9-9i 495 9.91 486 9.91 477 |
20 19 18 17 16 |
|||||
45 46 47 48 49 |
9-75 587 9-75 605 9-75 624 9-75 642 9-75 660 |
9.84 119 9.84 146 9.84 173 9.84 200 9.84 227 |
0.15 881 0-15 854 0.15 827 0.15 800 0.15 773 |
9.91 469 9.91 460 9-9i 451 9.91 442 9.9i 433 |
15 14 13 12 II |
|||||
50 5i 52 53 54 |
9-75 678 9-75 696 9-75 7H 9-75 733 9-75 751 |
9.84 254 9.84 280 9.84 307 9-84 334 9.84 361 |
0.15 746 0.15 720 0.15693 0.15 666 0.15 639 |
9-9i 425 9.91 416 9.91 407 9.91 398 9.91 389 |
9 9 9 9 g |
10 9 8 7 6 |
||||
55 56 57 58 59 |
9-75 769 9-75 787 9-75 805 9-75 823 9-75 841 |
9.84 388 9.84 415 9.84 442 9.84 469 9.84 496 |
0.15 612 0.15 585 0.15 558 0.15 531 0.15 504 |
9.91 381 9.91 372 9-9i 363 9-9i 354 9-9i 345 |
9 9 9 9 |
5 4 3 2 I |
||||
GO |
9-75 859 |
9-84 523 |
0.15 477 |
9-9i 336 |
0 |
|||||
L. < os. |
d. |
L*Cotff. |
c. d. |
L.TniiK. |
L. Sin. d. |
/• |
Prop. 1 |
'ts. |
55C
35C
57
" |
L. Sin. |
d. |
L.Tang. |
c. d. |
JL. Cotg. |
L. Cos. |
d. |
Prop |
. Pt«. |
|
0 I 2 3 4 |
9-75 859 9-75 877 9-75 895 9-75 9J3 9-75 93i |
18 18 18 18 |
9-84 523 9-84 55o 9.84 576 9.84 603 9.84 630 |
27 26 27 27 |
0.15 477 0.15 450 0.15 424 0.15 397 0.15 370 |
9.91 336 9-91 328 9.91 319 9.91 310 9.91 301 |
8 9 9 9 |
60 59 58 57 56 |
2 6 2 7 3 |
7 a6 .7 2.6 • 2 3.O |
5 6 7 8 9 |
9-75 949 9-75 967 9-75 985 9.76 003 9.76 021 |
18 18 18 18 |
9.84 657 9.84 684 9.84 711 9.84 738 9.84 764 |
27 27 27 27 26 |
0.15 343 0.15 316 0.15 289 0.15 262 0.15 236 |
9.91 292 9-91 283 9 9i 274 9.91 266 9.91 257 |
9 9 9 8 9 |
55 54 53 52 |
8 3 9 4 10 4 20 9 3° J3 |
•6 3-5 •i 3-9 •5 4-3 .0 8.7 •5 13-0 |
1O ii 12 13 14 |
9.76 039 9.76 057 9.76 075 9.76 093 9.76 in |
18 18 18 18 |
9.84 791 9.84 818 9.84 845 9.84 872 9.84 899 |
27 27 27 27 27 |
0.15 209 0.15 182 0.15 155 0.15 128 0.15 101 |
9.91 248 9.91 239 9.91 230 9.91 221 9.9! 212 |
9 9 9 9 |
50 49 48 47 46 |
40 18 50 22 |
.0 17.3 •5 21.7 18 |
15 16 17 18 19 |
9.76 129 9.76 146 9.76 164 9.76 182 9.76 200 |
17 18 18 18 |
9.84 925 9.84 952 9.84 979 9.85 006 9-85 033 |
27 27 27 27 26 |
0.15 075 0.15 048 0.15 021 0.14 994 0.14 967 |
9.91 203 9.91 194 9.91 185 9.91 176 9.91 167 |
9 9 9 9 9 |
45 44 43 42 |
6 7 8 9 10 |
1.8 2.1 2-4 2.7 |
21 22 23 24 |
9.76 218 9.76 236 9.76 253 9.76 271 9.76 289 |
18 18 18 |
9-85 059 9.85 086 9-85 "3 9.85 140 9.85 166 |
27 27 27 26 |
0.14 941 0.14 914 0.14 887 0.14 860 0.14 834 |
9.91 158 9.91 149 9.91 141 9.9I 132 9.91 123 |
9 8 9 9 |
40 39 38 37 36 |
20 30 40 50 |
6.0 9.0 12.0 15.0 |
25 26 27 28 29 |
9.76 307 9.76 324 9.76 342 9.76 360 9.76 378 |
17 18 18 18 |
9-85 193 9.85 220 9.85 247 9-85 273 9.85 300 |
27 27 26 27 |
0.14 807 0.14 780 0.14 753 0.14 727 0.14 700 |
9.91 114 9.91! IO5 9.91 096 9.91 087 9.91 078 |
9 9 9 9 |
35 34 33 32 |
• 6 7 8 |
17 1-7 2.O 2-3 |
30 32 33 34 |
9-76 395 9.76 413 9.76 431 9.76 448 9.76 466 |
17 18 18 i? 18 |
9-85 327 9-85 354 9.85 380 9.85 407 9-85 434 |
27 27 26 27 27 26 |
0.14 673 0.14 646 0.14 620 0.14 593 0.14 566 |
9.91 069 9.91 060 9.91 051 9.91 042 9.91 033 |
9 9 9 9 |
30 29 28 27 26 |
9 10 20 30 40 tn |
2.6 2.8 5.7 8-5 ".3 14 2 |
It 37 38 39 |
9.76 484 9.76 501 . 9.76 519 9-76 537 9-76 554 |
17 18 18 17 |
9.85 460 9.85 487 9-85 5H 9-85 540 9-85 567 |
27 27 26 27 |
0.14 540 0.14513 0.14 486 0.14 460 0.14 433 |
9.91 023 9.91 014 9.91 005 9.90 996 9.90 987 |
9 9 9 9 |
25 24 23 22 21 |
6 |
10 1.0 |
4O 42 43 44 |
9-76 57? 9.76 590 9.76 607 9.76 625 9.76 642 |
18 18 17 |
9-85 594 9.85 620 9.85 647 9.85 674 9.85 700 |
27 26 27 27 26 |
0.14 406 0.14 380 0.14 353 0.14 326 0.14 300 |
9.90 978 9.90 969 9.90 960 9.90 951 9.90 942 |
9 9 9 9 |
20 19 18 17 16 |
8 9 10 20 qo |
1.2 3-3 c o |
45 46 47 48 49 |
9.76 660 9.76 677 9.76 695 9.76 712 9.76 730 |
17 18 17 18 |
9.85 727 9-85 754 9-85 78o 9.85 807 9-85 834 |
27 27 26 27 27 |
0.14 273 0.14 246 0.14 220 0.14 193 0.14 166 |
9-9° 933 9.90 924 9.90 915 9.90 906 9.90 896 |
9 9 9 10 |
15 14 13 12 II |
40 50 |
6.7 8-3 90 |
5O 52 53 54 |
9.76 747 9.76 765 9.76 782 9.76 800 9.76 817 |
18 17 18 17 |
9.85 860 9.85 887 9-85 913 9.85 940 9.85 967 |
27 26 27 27 -£ |
0.14 140 0.14 113 0.14 087 0.14 060 0.14 033 |
9.90 887 9.90 878 9.90 869 9.90 860 9.90 85! |
9 9 9 9 |
10 9 8 7 6 |
6 o 7 i 8 I 9 i IO I |
.9 0.8 .1 0.9 .2 I.I .4 1.2 5 * 3 |
55 56 57 58 59 |
9.76 835 9.76 852 9.76 870 9.76 887 9.76 904 |
17 18 17 17 |
9-85 993 9.86 020 9.86 046 9.86 073 9.86 100 |
27 26 27 27 |
0.14 007 0.13 980 0.13 954 0.13 927 0.13 900 |
9.90 842 9.90 832 9.90 823 9.90 814 9.90 805 |
10 9 9 9 |
5 4 3 2 I |
20 3 30 4 40 o 50 7 |
.0 2.7 •5 4-0 •o 5-3 •5 6.7 |
60 |
9.76 922 |
9.86 126 |
0.13 874 |
9.90 796 |
9 |
O |
||||
L. Cos. |
d. |
L. Cotg. |
c. d. |
L.Tang. |
L. Sin. |
d. |
' |
Prop |
. Pts. |
54C
36C
/ |
L. Sin. |
d. |
L.Tang. |
c. d.| L.Cotg. |
L. Cos. |
d. |
Prop. Pts. , |
||||
0 I 2 3 4 |
9.76 922 9.76 939 9-76 957 9.76 974 9.76 991 |
17 18 17 17 18 17 18 17 '7 18 '7 17 |
9.86 126 9.86 153 9.86 179 9.86 206 9.86 232 |
27 26 27 26 27 26 27 26 27 27 26 27 26 27 26 27 26 26 27 26 27 26 27 26 27 26 27 26 26 27 26 27 26 27 26 26 27 26 26 27 26 27 26 26 27 26 26 27 26 26 27 26 26 27 26 26 27 •6 26 26 |
0.13 874 0.13 847 0.13 821 0.13 794 0.13 768 |
9.90 796 9.90 787 9.90 777 9.90 768 9-9° 759 |
9 10 9 9 9 9 10 9 9 9 10 9 9 9 10 9 9 9 10 9 9 10 9 9 9 10 9 9 10 9 9 10 9 10 9 9 10 9 9 10 9 10 9 10 9 9 10 9 10 9 10 9 10 9 10 9 10 9 10 9 |
60 59 58 57 56 |
2 6 2 7 3 8 3 9 4 10 4 20 C 30 13 40 18 50 22 6 7 8 9 10 20 3° 40 5° 6 7 8 9 10 20 30 40 50 6 7 8 9 10 20 30 40 50 6 i 7 3 8 i 9 i 10 I 20 3 30 5 40 6 50 -a |
1 •7 .2 |
26 2.6 3.O |
6 7 8 9 |
9.77 009 9.77 026 9-77 043 9.77 061 9.77 078 |
9.86 259 9.86 285 9.86 312 9.86 338 9.86 365 |
0.13 741 0.13 715 0.13 688 0.13 662 0.13 635 |
9.90 750 9.90 741 9.90 731 9.90 722 9.90 713 |
55 54 53 52 |
•6 i-5 •i 3-9 •5 4-3 .0 8.7 •5 13-0 .0 17.3 •5 21.7 18 1.8 2.1 2.4 2.7 3-° 6.0 9.0 12.0 15-0 17 2.0 2-3 2.6 2.8 5-7 8-5 "•3 14.2 16 1.6 1-9 2.1 2.4 2-7 5-3 8.0 10.7 13-3 10 9 .0 0.9 .2 I.I •3 1-2 •5 1-4 •7 i-5 •3 3-° •o 4-5 .7 6.0 •3 7-5 |
|||||
1O ii 12 13 14 |
9-77 095 9.77 112 9.77 130 9-77 147 9-77 164 |
9-86 392 9.86 418 9-86 445 9.86 471 9.86 498 |
0.13 608 0.13 582 0.13 555 0.13 529 0.13 502 |
9.90 704 9.90 694 9.90 685 9.90 676 9.90 667 |
5O 49 48 47 46 |
||||||
15 16 17 18 19 |
9.77 181 9.77 199 9.77 216 9-77 233 9-77 250 |
18 '7 17 17 18 17 17 |
9-86 524 9.86 551 9.86 577 9.86 603 9.86 630 |
0.13 476 0.13 449 0.13 423 0.13 397 0.13 370 |
9.90 657 9.90 648 9.90 639 9.90 630 9.90 620 |
45 44 43 42 |
|||||
20 21 22 23 24 |
9.77 268 9-77 285 9-77 302 9-77 319 9-77 336 |
9.86 656 9.86 683 9.86 709 9.86 736 9.86 762 |
0.13 344 0.13 317 0.13 291 0.13 264 0.13 238 |
9.90 611 9.90 602 9.90 592 9-90 583 9.90 574 |
40 39 38 11 |
||||||
25 26 27 28 29 |
9-77 353 9-77 370 9-77 387 9-77 405 9-77 422 |
I7 17 18 17 |
9.86 789 9.86 815 9.86 842 9.86 868 9.86 894 |
O.I3 211 0.13 185 0.13 158 0.13 132 0.13 106 |
9-9° 565 9-9° 555 9.90 546 9-90 537 9.90 527 |
35 34 33 32 |
|||||
30 31 32 33 34 |
9-77 439 9-77 456 9-77 473 9-77 49° 9-77 5°7 |
17 17 17 17 17 17 17 17 17 16 17 17 17 16 >7 »7 16 |
9.86 921 9.86 947 9.86 974 9.87 ooo 9.87 027 |
0.13 079 0.13 053 0.13 026 0.13 ooo 0.12 973 |
9.90 518 9.90 509 9.90 499 9.90 490 9.90 480 |
30 29 28 27 26 |
|||||
35 36 37 38 39 |
9-77 524 9-77 541 9-77 558 9-77 575 9-77 592 |
9-87 053 9.87 079 9.87 106 9.87 132 9.87 158 |
0.12 947 O.I2 921 0.12 894 0.12 868 0.12 842 |
9.90 471 9.90 462 9.90 452 9.90 443 9-9° 434 |
25 24 23 22 21 |
||||||
40 42 43 44 |
9-77 609 9.77 626 9-77 643 9.77 660 9-77 677 |
9.87 185 9.87 211 9.87 238 9.87 264 9.87 290 |
0.12 815 0.12 789 0.12 762 0.12 736 0.12 710 |
9.90 424 9.90 415 9.90 405 9.90 396 9.90 386 |
20 19 18 17 16 |
||||||
47 48 49 |
9.77 694 9-77 7ii 9-77 728 9-77 744 9-77 76i |
9.87 317 9-87 343 9-87 369 9.87 396 9.87 422 |
0.12 683 0.12 657 0.12 631 O.I 2 604 0.12 578 |
9.90 377 9.90 368 9-9° 358 9.90 349 9-90 339 |
15 14 13 12 II |
||||||
5O 51 52 53 54 |
9.77 778 9-77 795 9.77 812 9-77 829 9-77 846 |
9.87 448 9-87 475 9.87 501 9.87 527 9-87 554 |
0.12 552 0.12 525 0.12 499 0.12 473 0.12 446 |
9.90 330 9.90 320 9.90311 9.90 301 9.90 292 |
10 9 8 7 6 |
||||||
55 56 57 58 59 |
9.77 862 9-77 879 9-77 896 9-77 913 9-77 930 |
9.87 580 9.87 606 9-87 633 9.87 659 9.87 685 |
0.12 420 0.12 394 0.12 367 0.12 341 0.12 315 |
9.90 282 9.90 273 9.90 263 9.90 254 9.90 244 |
5 4 3 2 I |
||||||
9-77 946 |
9.87 711 |
0.12 289 |
9-90 235 |
0 |
|||||||
L. COB. d. |
L. Cotg. c. d. L.Tang. |
L. Sin. d. |
f |
Prop. I'IN. |
53C
37<
59
r |
L. Sin. |
d. |
L.Tang. |
c. d. |
L. Cotg. |
L. Cos. |
d. |
Prop. Pts. |
||
0 i 2 3 4 |
9-77 946 9-77 963 9-77 98o 9-77 997 9.78 013 |
17 17 *7 16 |
9.87 711 9.87 738 9.87 764 9.87 790 9.87 817 |
27 26 26 27 26 26 26 27 26 26 26 27 26 26 26 26 27 26 26 26 26 27 26 26 26 26 27 26 26 26 26 26 27 26 26 26 26 26 26 26 27 26 26 26 26 26 26 26 26 26 26 27 26 26 26 26 26 26 26 26 |
O.I2 289 0.12 262 O.I 2 236 0.12 210 0.12 183 |
9-90 235 9-90 225 9.90 216 9.90 206 9.90 197 |
10 9 10 9 |
60 59 58 57 56 |
6 7 8 9 10 20 3° 40 50 6 7 8 9 10 20 30 40 50 6 7 8 9 10 20 30 40 50 6 7 8 9 10 20 30 40 50 |
27 2.7 3-2 3-6 4.1 4-5 9.0 13-5 18.0 22.5 26 2.6 3-0 3-? 3-9 4-3 8.7 13-0 17-3 21.7 17 1-7 2.0 2-3 2.6 2.8 5-7 8-5 "•3 14.2 16 1.6 1.9 2.1 2.4 2.7 5-3 8.0 10.7 13-3 io 9 .0 0.9 .2 I.I •3 1.2 •5 1-4 •7 S i.S 1-3 3-0 >.o 4-5 >.7 6.0 •3 7-5 |
i 7 8 9 |
9.78 030 9.78 047 9.78 063 9.78 080 9.78 097 |
*7 i? 16 17 i? 16 |
9.87 843 9.87 869 9.87 895 9.87 922 9.87 948 |
0.12 157 0.12 131 0.12 lOg 0.12 078 0.12 052 |
9.90 187 9.90 178 9.90 168 9.90 159 9.90 149 |
9 IO 9 10 IO 9 10 9 10 10 9 10 9 10 10 9 10 10 9 10 IO 9 10 10 9 10 IO 9 10 IO 10 ,9 10 10 10 9 10 10 10 9 IO 10 10 10 9 10 10 10 10 IO 9 10 10 IO IO |
55 54 53 52 5i |
|||
IO ii 12 13 14 |
9.78 113 9.78 130 9.78 147 9.78 163 9.78 180 |
17 i? 16 17 |
9.87 974 9.88 ooo 9.88 027 9.88 053 9.88 079 |
O.I 2 O26 0.12 000 o.i i 973 o.i i 947 o.ii 921 |
9.90 139 9.90 130 9.90 120 9.90 III 9.90 ioi |
50 49 48 47 46 |
||||
15 16 17 18 19 |
9.78 197 9.78 213 9.78 230 9.78 246 9.78 263 |
16 17 16 X7 |
9.88 105 9.88 131 9.88 158 9.88 184 9.88 210 |
o.i i 895 o.ii 869 o.ii 842 o.ii 816 o.ii 790 |
9.90 091 9.90 O82 9.90 072 9.90 063 9.90 053 |
45 44 43 42 41 |
||||
2O 21 22 23 24 |
9.78 280 9.78 296 9-78 313 9.78 329 9.78 346 |
16 i? 16 17 16 |
9.88 236 9.88 262 9-88 289 9-88 315 9.88 341 |
o.ii 764 o.ii 738 o.ii 711 o.ii 685 o.ii 659 |
9.90 043 9.90 034 9.90 O24 9.90 014 9.90 005 |
40 39 38 37 36 |
||||
25 26 27 28 29 |
9.78 362 9-78 379 9-78 395 9.78 412 9.78 428 |
17 16 17 16 |
9.88 367 9-88 393 9.88 420 9.88 446 9.88 472 |
o.ii 633 o.ii 607 o.ii 580 o.ii 554 o.ii 528 |
9.89 995 9.89 985 9.89 976 9.89 966 9.89 956 |
35 34 33 S2 3i |
||||
3O 3i 32 33 34 |
9-78 445 9.78 461 9.78 478 9.78 494 9.78 510 |
J7 16 17 16 16 |
9.88 498 9.88 524 9-88 550 9-88 577 9.88 603 |
o.ii 502 o.ii 476 o.ii 450 o.ii 423 o.ii 397 |
9.89 947 9-89 937 9.89 927 9.89 918 9.89 908 |
30 29 28 27 26 |
||||
35 36 37 38 39 |
9.78 527 9-78 543 9.78 560 9.78 576 9.78 592 |
16 17 16 16 |
9.88 629 9.88 655 9.88 681 9.88 707 9-88 733 |
o.ii 371 o.ii 345 o.ii 319 o.ii 293 o.ii 267 |
9.89 898 9.89 888 9.89 879 9.89 869 9.89 859 |
25 24 23 22 21 |
||||
40 41 42 43 44 |
9.78 609 9.78 625 9.78 642 9.78 658 9.78 674 |
16 17 16 16 |
9-88 759 9.88 786 9.88 812 9.88 838 9.88 864 |
o.ii 241 o.ii 214 o.ii 188 o.ii 162 o.ii 136 |
9.89 849 9.89 840 9.89 830 9.89 820 9.89 810 |
20 19 18 17 16 |
||||
45 46 47 48 49 |
9.78 691 9.78 707 9.78 723 9-78 739 9.78 756 |
I7 16 16 16 17 16 16 i? 16 16 16 16 J7 16 16 16 |
9.88 890 9.88 916 9.88 942 9.88 968 9.88 994 |
O.II IIO o.n 084 o.n 058 o.n 032 o.n 006 |
9.89 801 9.89 791 9.89 781 9.89 771 9.89 761 |
15 14 13 12 II |
||||
50 5i 52 53 54 |
9.78 772 9.78 788 9.78 805 9.78 821 9.78 837 |
9.89 020 9.89 046 9.89 073 9.89 099 9.89 125 |
o.io 980 o.io 954 o.io 927 o.io 901 o.io 875 |
9.89 752 9.89 742 9.89 732 9.89 722 9.89 712 |
10 9 8 6 |
6 ] 7 3 8 ] 9 J IO ] |
||||
55 56 57 58 59 |
9-78 853 9.78 869 9.78 886 9.78 902 9.78 918 |
9.89 151 9.89 177 9.89 203 9.89 229 9-89 255 |
o.io 849 o.io 823 o.io 797 o.io 771 o.io 745 |
9.89 702 9.89 693 9.89 683 9.89 673 9.89 663 |
5 4 3 2 I |
20 I 30 f 40 < 50 J |
||||
GO |
9-78 934 |
9.89 281 |
o.io 719 |
9-89 653 |
0 |
|||||
L. Cos. |
d. |
L,. Cotg. |
c. d. |
L.Tang. |
JL. Sin. |
d. |
f |
Prop. Pts. |
52<
6o
38<
r |
L. Sin. |
d. |
L. Tang. |
c. d. |
JL. Cotg. |
L. Cos. |
d. |
Pi |
•oi |
>. |
Pts. |
|
O i 2 3 4 |
9-78 934 9.78 950 9.78 967 9.78 983 9.78 999 |
16 *7 16 16 16 |
9.89 281 9.89 307 9-89 333 9-89 359 9-89 385 |
26 26 26 26 26 |
o.io 719 o.io 693 o.io 667 o.io 641 o.io 615 . |
9-89 653 9.89 643 9-89 633 9.89 624 9.89 614 |
IO 10 9 10 |
60 59 58 57 56 |
6 7 |
2 2 J |
5 .6 .0 |
25 2-5 2.9 |
5 6 7 8 9 |
9-79 oi5 9-79 031 9-79 047 9-79 063 9.79 079 |
16 16 16 16 16 |
9.89 411 9-89 437 9.89 463 9.89 489 9-89 515 |
26 26 26 26 26 |
o.io 589 o.io 563 o.io 537 o.io 511 o.io 485 |
9.89 604 9-89 594 9.89 584 9-89 574 9.89 564 |
10 IO IO 10 |
55 54 53 52 51 |
8 9 10 20 3° |
3 3 4 8 .'3 |
•5 •9 •3 •7 .0 |
3-3 3-8 4.2 8-3 12.5 |
10 ii 12 13 14 |
9-79 095 9.79 in 9.79 128 9-79 144 9.79 160 |
16 J7 16 16 16 |
9.89 541 9.89 567 9-89 593 9.89 619 9.89 645 |
26 26 26 26 26 |
o.io 459 o.io 433 o.io 407 o.io 381 o-io 355 |
9-89 554 9.89 544 9-89 534 9.89 524 9.89 514 |
IO IO 10 10 |
50 49 48 47 46 |
40 50 |
17 21 |
•3 •7 i |
16.7 20.8 7 |
15 16 17 18 19 |
9.79 176 9-79 192 9.79 208 9-79 224 9.79 240 |
16 16 16 16 16 |
9.89 671 9.89 697 9.89 723 9.89 749 9-89 775 |
26 26 26 26 26 |
o.io 329 o.io 303 o.io 277 o.io 251 o.io 225 |
9.89 504 9-89 495 9.89 485 9-89 475 9.89 465 |
9 10 10 IO |
45 44 43 42 4i |
] |
6 7 8 9 to |
2 2 2 2 |
•7 .0 :! .8 |
2O 21 22 23 24 |
9-79 256 9-79 272 9.79 288 9-79 304 9-79 319 |
16 16 16 15 rfi |
9.89 801 9.89 827 9-89 853 9-89 879 9.89 905 |
26 26 26 26 ifi |
o.io 199 o.io 173 o.io 147 O.IO 121 o.io 095 |
9-89 455 9-89 445 9-89 435 9.89 425 9.89 415 |
10 10 10 IO |
40 39 38 37 36 |
j i i c |
>0 50 p )0 |
5 8 ii H |
•7 •5 •3 .2 |
25 26 27 28 29 |
9-79 335 9-79 35i 9-79 367 9-79 383 9-79 399 |
16 16 16 16 |
9.89 931 9-89 957 9.89 983 9.90009 9-90 035 |
26 26 26 26 |
o.io 069 o.io 043 o.io 017 0.09 991 0.09 965 |
9.89 405 9-89 395 9-89 385 9-89 375 9.89 364 |
xo IO 10 II |
35 34 33 32 3i |
6 8 |
I I I 2 |
5 .6 •9 .1 |
15 1.5 1.8 2.0 |
30 3i 32 33 34 |
9-79 415 9-79 431 9-79 447 9-79 463 9-79 478 |
16 16 16 IS 16 |
9.90 06 1 9.90 086 9.90 112 9.90 138 9.90 164 |
25 26 26 26 26 |
0.09 939 0.09 914 0.09 888 0.09 862 0.09 836 |
9-89 354 9-89 344 9-89 334 9.89 324 9.89 314 |
IO 10 10 10 |
30 29 28 27 26 |
9 10 20 30 40 CO |
2 2 5 8 10 70 |
•4 -7 •3 .0 •7 |
2-3 2-5 5-0 7.5 10.0 12 ? |
!I 37 38 39 |
9.79 494 9-79 51° 9-79 526 9-79 542 9-79 558 |
16 16 16 16 |
9.90 190 9.90 216 9.90 242 9.90 268 9.90 294 |
26 26 26 26 tfi |
0.09 810 0.09 784 0.09 758 0.09 732 0.09 706 |
9.89 304 9.89 294 9.89 284 9.89 274 9.89 264 |
10 10 10 IO |
25 24 23 22 21 |
6 |
i |
I I |
|
4O 41 4« 43 44 |
9-79 573 9-79 589 9.79 605 9.79 621 9-79 636 |
16 16 16 »5 tfi' |
9.90 320 9.90 346 9.90 371 9.90 397 9.90 423 |
26 25 26 26 ~f |
0.09 680 0.09 654 0.09 629 0.09 603 0.09 577 |
9.89 254 9.89 244 9-89 233 9.89 223 9.89 213 |
IO XI 10 10 |
20 19 18 17 16 |
7 8 9 10 20 TO |
3 C |
3 7 8 7 C |
|
45 46 47 48 49 |
9-79 652 9.79 668 9-79 684 9.79699 9-79 715 |
16 16 IS 16 tfi |
9.90 449 9-90 475 9.90 501 9.90 527 9-90 553 |
26 26 26 26 |
0.09 551 0.09 525 0.09499 0.09 473 0.09 447 |
9-89 203 9.89 193 9-89 183 9.89 173 9.89 162 |
10 10 IO II |
15 14 13 12 II |
40 50 |
7 9 |
3 2 |
|
50 51 52 53 54 |
9-79 731 9-79 746 9-79 762 9-79 778 9-79 793 |
«5 16 •6 15 ifi |
9.90 578 9.90604 9.90 630 9.90 656 9.90 682 |
25 26 26 26 26 •>fi |
0.09 422 0.09 396 0.09 370 0.09 344 0.09 318 |
9-89 152 9.89 142 9.89 132 9.89 122 9.89 112 |
10 10 10 10 |
10 9 8 7 6 |
6 7 8 9 IO |
0 2 3 5 7 |
0-9 I.I 1.2 1.4 1.5 |
|
55 56 57 58 .53- |
9-79 809 9-79 825 9.79 840 9-79 856 9-79 872 |
16 15 16 16 |
9.90 708 9-90 734 99° 759 9.90 785 9.90 8ll |
26 25 26 26 ofi |
0.09 292 0.09 266 0.09 241 0.09 215 0.09 189 |
9.89 ioi 9.89 091 9.89 081 9.89 071 (;.8<y O')0 |
10 10 10 II |
5 4 3 3 I |
20 3° 40 50 |
3 5 6 8 |
3 0 7 3 |
3-o 4-5 6.0 7-5 |
00 |
9-79 887 |
J5 |
9.«,o 837 |
0.09 163 |
9.89 050 |
O |
||||||
L. Cos. |
d. |
I,. cotK. |
c. d. |
L.TniiK. |
L. Sin. |
d. |
r |
Pr |
op |
•' |
Ms. |
51'
39C
61
r |
L. Sin. |
d. |
L.Taug. c. d. |
L. Cuts. |
L,. Cos. |
d. |
Prop. Pts. |
|||
0 1 8 9 |
9-79 887 9-79 9°3 9-79 9i8 9-79 934 9-79 95° |
16 15 16 16 15 16 i5 16 15 16 15 16 15 16 15 16 15 IS 16 iS 16 i5 16 15 |
9.90 837 9.90 863 9.90 889 9.90 914 9.90 940 |
26 26 25 26 26 26 26 25 26 26 26 26 25 26 26 26 26 25 26 26 26 25 26 26 26 25 26 26 26 25 26 26 26 25 26 26 26 25 26 26 25 26 26 26 25 26 26 25 26 26 25 26 26 25 26 26 25 26 26 25 |
0.09 163 0.09 137 0.09 in 0.09 086 0.09 060 |
9.89 050 9.89 040 9.89 030 9.89 020 9.89 OO9 |
10 10 10 ii 10 IO II IO 10 10 II 10 10 II IO 10 II 10 IO II IO IO II 10 IO II 10 II 10 IO II 10 II IO II 10 10 II IO II IO II 10 II 10 II 10 II IO II IO II II 10 |
6O 59 58 57 56 |
6 8 9 10 20 30 40 50 6 7 8 9 10 20 3° 40 50 6 8 9 10 20 30 40 50 6 7 8 9 10 20 3° 40 50 6 i 7 i 8 I 9 I IO I 20 3 3° 5 40 7 50 9 |
26 2.6 3-° 3-5 3-9 4-3 8-7 13.0 17-3 21.7 »5 2-5 2.9 3-3 3-8 4.2 8-3 12.5 16.7 20.8 16 1.6 1.9- 2.1 2.4 2-7 5-3 8.0 10.7 13-3 »5 1-5 1.8 2.0 2-3 2-5 5-0 7.5 IO.O 12.5 [I 10 .1 I.O .3 1.2 •5 1-3 •7 i-5 .8 1.7 •7 3-3 •5 5-0 •3 6.7 .2 8.3 |
9-79965 9.79981 9-79 996 9.80 012 9.80 027 |
9.90 966 9.90 992 9.91 018 9.91 043 9.91 069 |
0.09 034 0.09 008 0.08 982 0.08 957 0.08 931 |
9.88 999 9.88 989 9.88 978 9.88 968 9.88 958 |
55 54 53 52 51 |
||||||
10 ii 12 lj 11 3 19 |
9.80*043 9.80 058 9.80 074 9.80 089 9.80 105 |
9.91 095 9.9! 121 9.91 147 9.91 172 9.91 198 |
0.08 905 0.08 879 0.08 853 0.08 828 0.08 802 |
9.88 948 9.88 937 9.88 927 9.88 917 9.88 906 |
50 49 48 47 46 |
|||||
9.80 120 9.80 136 9.80 151 9.80 166 9.80 182 |
9.91 224 9.91 250 9.91 276 9.91 301 9.91 327 |
0.08 776 0.08 750 0.08 724 0.08 699 0.08 673 |
9.88 896 9.88 886 9-88 875 9.88 865 9-88 855 |
45 44 43 42 4i |
||||||
20 21 22 23 24 | |
9.80 197 9.80 213 9.80 228 9.80 244 9.80 259 |
9-91 353 9-91 379 9.91 404 9.91 430 9.91 456 |
0.08 647 0.08 621 0.08 596 0.08 570 0.08 544 |
9.88 844 9.88 834 9.88 824 9.88 813 9.88 803 |
40 39 38 11 |
|||||
25 26 27 28 29 |
9.80 274 9.80 290 9.80 305 9.80 320 9.80 336 |
16 IS 15 16 |
9.91 482 9.91 507 9-91 533 9-9i 559 9-91 585 |
0.08 518 0.08 493 0.08 467 0.08 441 0.08 415 |
9.88 793 9.88 782 9.88 772 9.88 761 9.88 751 |
35 34 33 32 3i |
||||
30 3i 32 33 34 35 36 37 38 39 |
9.80 351 9.80 366 9.80 382 9.80 397 9.80 412 |
*5 16 IS 15 |
9.91 610 9.91 636 9.91 662 9.91 688 9.91 713 |
0.08 390 0.08 364 0.08 338 0.08 312 0.08 287 |
9.88 741 9-88 730 9.88 720 9.88 709 9.88 699 |
30 29 28 27 26 |
||||
9.80 428 9.80 443 9.80 458 9.80 473 9.80 489 |
15 i5 15 16 |
9-9i 739 9.91 765 9.91 791 9.91 816 9.91 842 |
0.08 261 0.08 235 0.08 209 0.08 184 0.08 158 |
9.88 688 9.88 678 9.88 668 9.88 657 9.88 647 |
25 24 23 22 21 |
|||||
40 41 42 43 44 | |
9.80 504 9.80 519 9-8o 534 9.80 550 9.80 565 |
XS 15 15 16 15 15 15 IS 15 16 |
9.91 868 9.91 893 9.91 919 9-9i 945 9.91 971 |
0.08 132 0.08 107 0.08 08 1 0.08 055 0.08 029 |
9.88 636 9.88 626 9.88 615 9.88 605 9.88 594 |
20 19 18 17 16 |
||||
45 46 47 48 49 |
9.80 580 9-8o 595 9.80 610 9.80 625 9.80 641 |
9.91 996 9.92 022 9.92 048 9.92 073 9.92 099 |
0.08 004 0.07 978 0.07 952 0.07 927 0.07 901 |
9.88 584 9-88 573 9-88 563 9-88 552 9-88 542 |
15 14 13 12 II |
|||||
5O 5i 52 53 54 | |
9.80 656 9.80 671 9.80 686 9.80 701 9.80 716 |
*5 15 15 IS 15 |
9.92 125 9.92 150 9.92 176 9.92 202 9.92 227 |
0.07 875 0.07 850 0.07 824 0.07 798 0.07 773 |
9-88 531 9.88 521 9.88 510 9.88 499 9.88 489 |
10 9 8 7 6 |
||||
55 56 57 58 59 |
9.80 731 9.80 746 9.80 762 9.80 777 9.80 792 |
JS '5 16 15 15 IS |
9-92 253 9.92 279 9.92 304 9.92 330 9-92 356 |
0.07 747 0.07 721 0.07 696 0.07 670 0.07 644 |
9.88 478 9.88 468 9.88 457 9.88 447 9-88 436 |
10 II 10 II |
5 4 3 2 I |
|||
60 1 |
9.80 807 |
9-92 381 |
0.07 619 |
9-88 425 |
0 |
|||||
1 L. Cos. |
d. |
L. Cot&. |
C. d. |
L.Tang. |
L. Sin. |
d. |
r |
Prop. Pts. |
50<
62
40°
f |
L. Sin. |
d. |
L.Tang. |
c. d. |
L.Cotg. |
L. Cos. |
d. |
Prop. Pts. |
||
o I 2 3 4 |
9.80 807 9.80 822 9.80 837 9.80 852 9.80 867 |
15 15 15 15 15 15 15 15 15 15 15 15 15 is 15 15 14 15 15 15 IS 15 15 15 14 15 15 15 15 14 15 15 15 IS 14 IS IS 14 IS |
9.92 381 9.92 407 9-92 433 9.92 458 9.92 484 |
26 26 25 26 26 25 26 26 25 26 25 26 26 25 26 26 25 26 25 26 26 23 26 25 26 26 25 26 25 26 25 26 26 25 26 25 26 25 26 26 25 26 25 26 25 26 25 26 26 25 26 25 26 25 26 25 26 25 96 as |
0.07 619 0.07 593 0.07 567 0.07 542 0.07 516 |
9.88 425 9-88 415 9.88 404 9.88 394 9-88 383 |
10 II 10 II II 10 II II IO II II IO II II 10 II II IO II II II 10 II II II 10 II II II IO II II II II |
60 59 58 57 56 |
6 7 |
26 2.6 3-o 3-5 3-9 4-3 8-7 13.0 17-3 21.7 25 2-5 2.9 3-3 3-8 4-2 8-3 12.5 16.7 20.8 15 i-5 1.8 2.0 2-3 2-5 5-0 7-5 IO.O 12.5 14 i-4 1.6 1.9 2.1 2.3 4-7 7.0 9-3 II- 7 [I 10 .1 I.O .3 1-2 5 1-3 •7 i.S .8 1.7 •7 3-3 •5 5-0 •3 6.7 .2 8.3 |
5 6 7 8 9 |
9.80 882 9.80 897 9.80 912 9.80 927 9.80 942 |
9.92 510 9-92 535 9.92 561 9.92 587 9.92 612 |
0.07 490 0.07 465 0.07 439 0.07 413 0.07 388 |
9.88 372 9.88 362 9.88 351 9.88 340 9.88 330 |
55 54 53 52 5i |
8 9 10 20 30 |
||||
10 ii 12 13 14 |
9.80 957 9.80 972 9.80 987 9.8l 002 9.8l 017 |
9.92 638 9.92 663 9.92 689 9.92 715 9.92 740 |
0.07 362 0.07 337 0.07 311 0.07 285 0.07 260 |
9.88 319 9.88 308 9.88 298 9.88 287 9.88 276 |
50 49 48 47 46 |
40 So |
||||
15 16 17 18 19 |
9.8l 032 9.8l 047 9.81 061 9.81 076 9.81 091 |
9.92 766 9.92 792 9.92 817 9.92 843 9.92 868 |
0.07 234 0.07 208 0.07 183 0.07 157 0.07 132 |
9.88 266 9.88 255 9.88 244 9-88 234 9.88 223 |
45 44 43 42 41 |
6 7 8 9 10 |
||||
20 21 22 23 24 |
9.81 106 9.81 121 9.81 136 9.81 151 9.81 166 |
9.92 894 9.92 920 9-92 945 9.92 971 9.92 996 |
0.07 106 0.07 080 0.07 055 0.07 029 0.07 004 |
9.88 212 9.88 201 9.88 191 9.88 180 9-88 169 |
4O 39 38 37 36 |
20 3° 40 50 6 7 8 9 10 20 30 40 50 6 7 8 9 10 20 30 40 50 6 i 7 i 8 I 9 I 10 I 20 3 30 5 40 7 50 9 |
||||
25 26 27 28 29 |
9.81 180 9.81 195 9.8l 2IO 9.8l 225 9.8l 240 |
9-93 022 9.93 048 9-93 °73 9.93 099 9-93 124 |
0.06 978 0.06 952 0.06 927 0.06 901 0.06 876 |
9-88 158 9.88 148 9.88 137 9.88 126 9.88 115 |
35 34 33 32 3i |
|||||
30 3i 32 33 34 |
9.8l 254 9.8l 269 9.8l 284 9-81 299 9.8l 314 |
9-93 150 9-93 175 9-93 201 9.93 227 9-93 252 |
0.06 850 0.06 825 0.06 799 0.06 773 0.06 748 |
9.88 105 9.88 094 9.88 083 9-88 072 9.88 061 |
30 29 28 27 26 |
|||||
35 36 37 38 39 |
9.8l 328 9- 8 1 343 9.81 358 9.81 372 9.81 387 |
9.93 278 9-93 303 9-93 329 9-93 354 9-93 38o |
0.06 722 0.06 697 0.06 671 0.06 646 0.06 620 |
9.88 051 9.88 040 9.88 029 9.88 018 9.88 007 |
II II II II |
25 24 23 22 21 |
||||
40 4i 42 43 44 |
9.81 402 9.81 417 9.81 431 9.81 446 9.81 461 , |
15 14 15 IS 14 15 15 14 15 |
9-93 406 9-93 43i 9-93 457 9.93 482 9-93 5o8 |
0.06 594 0.06 569 0.06 543 0.06 518 0.06 492 |
9.87 996 9.87 985 9-87 975 9.87 964 9-87 953 |
II 10 II |
20 19 18 17 16 |
|||
45 46 47 48 49 |
9-8i 475 9.81 490 9-8i 505 9.81 519 9-8i 534 |
9-93 533 9-93 559 9-93 584 9.93 610 9.93 636 |
0.06 467 0.06 441 0.06 416 0.06 390 0.06 364 |
9.87 942 9.87 931 9.87 920 9.87 909 9.87 898 |
II II II II |
15 14 13 12 II |
||||
50 Si 52 53 54 |
9.81 549 9-8i 563 9.81 578 9-8i 592 9.81 607 |
14 15 M 15 |
9-93 66 1 9-93 687 9-93 7" 9-93 738 9-93 763 |
0.06 339 0.06 313 0.06 288 0.06 262 0.06 237 |
9.87 887 9.87 877 9.87 866 9-87 855 9.87 844 |
IO II II II |
10 9 8 6 |
|||
P 57 58 59 |
9.81 622 9.81 636 9.81 651 9.81 665 9.81 680 |
14 IS »4 15 |
9-93 789 9-93 814 9-93 840 9-93 865 9-93 891 |
0.06 211 0.06 1 86 0.06 160 0.06 135 0.06 109 |
9-87 833 9.87 822 9.87 811 9.87 800 9.87 789 |
II II II II |
5 4 3 2 I |
|||
60 |
9.81 694 |
9-93 9i6 |
0.06 084 |
9.87 778 |
0 |
|||||
L. Con. d. |
L. Cotg. c. d. L.Tnng. |
L. Sin. | d. |
/ |
Prop. Pts. |
49'
41
/• |
L. Sin. |
d. |
L.Tang. c. d. |
L.Cotg. |
It. Cos. |
d. |
Prop. Pts. |
|||
o I 2 3 4 |
9.81 694 9.81 709 9.81 723 9.81 738 9.81 752 |
15 M 15 M 15 14 15 14 15 14 15 H 14 15 14 15 14 15 *4 14 15 14 J4 i5 14 14 15 M 14 |
9-93 9i6 9-93 942 9-93 967 9-93 993 9.94 018 |
:: 26 25 26 25 26 25 26 25 26 25 26 25 26 25 26 25 26 25 26 25 26 25 26 25 25 26 25 26 25 26 25 26 25 26 25 25 26 25 26 25 26 25 25 26 25 26 25 26 25 25 26 25 26 25 26 25 25 26 |
0.06 084 0.06 058 0.06 033 0.06 007 0.05 982 |
9.87 778 9.87 767 9.87 756 9-87 745 9-87 734 |
iz ii ii ii ii ii ii ii ii ii ii ii ii ii ii 12 II II « II II II II II 12 II II II II II 12 II II II II 12 II II II II 12 II II 12 II II II 12 II II 12 II II 12 II II 12 II II 12 |
6O 59 58 57 56 |
6 7 |
26 2.6 3-o 3-5 3-9 4-3 8-7 13.0 17-3 21.7 «5 2-5 2.9 3-3 3-8 4.2 8-3 12.5 16.7 20.8 15 i-5 1.8 2.0 2-3 2-5 5-o 7-5 10.0 12.5 14 1.4 1.6 1.9 2.1 2-3 4-7 7.0 9-3 11.7 it ii 1.2 I.I 1.4 1-3 1.6 1.5 1.8 1.7 2.0 1.8 *-o 3-7 5-0 5-5 3.0 7.3 xo 9.2 |
5 6 7 8 9 |
9.81 767 9.81 781 9.81 796 9.81 810 9.81 825 |
9.94 044 9.94 069 9-94 095 9.94 120 9.94 146 |
0.05 956 0.05 931 0.05 905 0.05 880 0.05 854 |
9.87 723 9.87 712 9.87 701 9.87 690 9.87 679 |
55 54 53 52 Si |
8 9 10 20 3° |
||||
10 ii 12 13 14 |
9.81 839 9.81 854 9.81 868 9.81 882 9.81 897 |
9-94 I7i 9-94 197 9.94 222 9.94 248 9-94 273 |
0.05 829 0.05 803 0.05 778 0.05 752 0.05 727 |
9.87 668 9.87 657 9.87 646 9.87 635 9.87 624 |
50 49 48 47 46 |
40 50 |
||||
15 16 17 18 19 |
9.81 911 9.81 926 9.81 940 9-8i 955 9.81 969 |
9.94 299 9-94 324 9-94 350 9-94 375 9-94 4°* |
0.05 701 0.05 676 0.05 650 0.05 625 0.05 599 |
9.87 613 9.87 601 9.87 59<> 9-87 579 9.87 568 |
45 44 43 42' 4i |
• 6 7 8 9 10 |
||||
20 21 22 23 24 |
9.81 983 9.81 998 9.82 012 9.82 O26 9.82 041 |
9.94 426 9-94 452 9-94 477 9-94 5°3 9.94 528 |
0.05 574 0.05 548 0.05 523 0.05 497 0.05 472 |
9-87 557 9.87 546 9-87 535 9.87 524 9-87 513 |
4O 39 38 37 36 |
20 30 40 50 6 7 8 9 10 20 3° 40 50 6 7 8 9 10 20 3° 40 50 6 7 8 9 10 20 30 4° 50 i |
||||
25 26 27 28 29 |
9.82 055 9.82 069 9.82 084 9.82 098 9.82 112 |
9-94 554 9-94 579 9.94 604 9-94 630 9-94 655 |
0.05 446 0.05 421 0.05 396 o-OS 370 0-05 345 |
9.87 501 9.87 490 9.87 479 9.87 468 9-87 457 |
35 34 33 32 3i |
|||||
3O 3i 32 33 34 |
9.82 126 9.82 141 9-82 155 9.82 169 9.82 184 |
15 14 M 15 |
9.94 68 1 9-94 7o6 9-94 732 9-94 757 9-94 783 |
0.05 319 0.05 294 0.05 268 0.05 243 0.05 217 |
9.87 446 9-87 434 9.87 423 9.87 412 9.87 401 |
3O 29 28 27 26 |
||||
35 36 37 38 39 |
9.82 198 9.82 212 9.82 226 9.82 240 9.82 255 |
H 14 J4 i5 M 14 H 14 15 M *4 14 14 H *4 14 15 14 14 H 14 H H J4 *4 |
9.94 808 9-94 834 9-94 859 9.94 884 9-94 9io |
0.05 192 0.05 166 0.05 141 0.05 116 0.05 090 |
9.87 390 9.87 378 9.87 367 9-87 356 9.87 345 |
25 24 23 22 21 |
||||
40 4i 42 43 44 |
9.82 269 9.82 283 9.82 297 9.82 311 9.82 326 |
9-94 935 9-94 961 9.94 986 9.95 OI2 9-95 037 |
0.05 065 0.05 039 0.05 014 0.04 988 0.04 963 |
9-87 334 9.87 322 9.87311 9.87 300 9.87 288 |
20 19 18 17 16 |
|||||
45 46 47 48 49 |
9.82 340 9-82 354 9.82 368 9.82 382 9.82 396 |
9-95 062 9.95 088 9-95 "3 9-95 139 9-95 164 |
0.04 938 0.04 912 0.04 887 0.04 86 1 0.04 836 |
9.87 277 9.87 266 9-87 255 9.87 243 9.87 232 |
15 14 J3 12 II |
|||||
50 5i 52 53 54 |
9.82 410 9.82 424 9.82 439 9-82 453 9.82 467 |
9.95 190 9-95 215 9-95 240 9-95 266 9-95 291 |
0.04 8 10 0.04 785 0.04 760 0.04 734 0.04 709 |
9.87 221 9.87 209 9.87 198 9.87 187 9-87 175 |
10 9 8 7 6 |
|||||
55 56 57 58 59 |
9.82 481 9.82 495 9-82 509 9.82 523 9-82 537 |
9-95 317 9-95 342 9-95 368 9-95 393 9-95 4i8 |
0.04 683 0.04 658 0.04 632 0.04 607 0.04 582 |
9.87 164 9-87 153 9.87 141 9.87 130 9.87 119 |
5 4 3 2 I |
|||||
60 |
9-82 55i |
9-95 444 |
0.04 556 |
9.87 107 |
0 |
|||||
JL. Cos. |
d. |
L. Cotg. c. d. |
L.Tang. |
L. Sin. |
d. |
r |
Prop. Pts. |
48C
64
42'
/• |
L. Sin. |
d. |
L. Tang. |
c. d.j L.Cotg. |
L. Cos. d. |
Prop. Pts. |
||||
0 I 2 3 4 |
9-82 551 9.82 565 9.82 579 9-82 593 9.82 607 |
X4 J4 *4 *4 i4 J4 H '4 14 '4 H *4 14 14 |
9-95 444 9-95 469 9-95 495 9-95 520 9-95 545 |
25 26 25 25 26 25 26 25 25 26 25 25 26 25 26 25 25 26 25 26 25 25 26 25 25 26 25 26 25 25 26 25 25 26 25 25 26 25 25 26 25 26 25 25 26 25 25 26 25 25 26 25 25 26 25 25 36 25 25 26 |
0.04 556 0.04 531 0.04 505 0.04 480 0.04 455 |
9.87 107 9.87 096 9-87 085 9.87 073 9.87 062 |
ii ii 12 II 12 II II 12 II 12 II 12 II 12 II 12 II II 12 II 12 12 II 12 II 12 II 12 II 12 II 12 12 II 12 II 12 12 II 12 12 II 12 12 II 12 12 12 12 12 II 12 12 II 12 12 12 II 12 |
60 59 58 57 56 |
6 8 9 10 20 30 40 50 6 8 9 10 20 30 40 50 6 7 8 9 10 20 30 40 50 6 7 8 9 10 20 30 40 50 6 7 8 9 10 20 30 40 5° * |
26 2.6 3-o 3-5 3-9 4-3 8-7 13.0 17-3 21.7 «5 2-5 2.9 3-3 3-8 4-2 8-3 12.5 16.7 20.8 14 1.4 1.6 i-9 2.1 2-3 4-7 7.0 9-3 11.7 13 i-3 i-S 1-7 2.0 2.2 4-3 6-5 8-7 10.8 ia ii 1.2 I.I 1-4 1-3 1.6 1.5 1.8 1.7 2.0 1.8 4-0 3-7 S.o 5-5 B.o 7.3 o.o 9.2 |
5 6 7 8 9 |
9.82 621 9.82 635 9.82 649 9.82 663 9.82 677 |
9-95 571 9-95 596 9-95 622 9-95 647 9-95 672 |
0.04 429 0.04 404 0.04 378 0-04 353 0.04 328 |
9.87 050 9.87 039 9.87 028 9.87 016 9.87 005 |
55 54 53 52 5i |
|||||
10 ii 12 13 14 |
9.82 691 9.82 705 9.82 719 9-82 733 9.82 747 |
9-95 698 9-95 723 9-95 748 9-95 774 9-95 799 |
0.04 302 0.04 277 0.04 252 0.04 226 O.O4 2OI |
9-86 993 9.86 982 9.86 970 9.86 959 9-86 947 |
50 49 48 47 46 |
|||||
15 16 17 18 19 |
9.82 761 9.82 775 9.82 788 9.82 802 9.82 816 |
*4 13 14 14 |
9-95 825 9-95 850 9-95 875 9-95 901 9.95 926 |
0.04 175 0.04 150 O.O4 125 O.O4 099 0.04 074 |
9.86 936 9.86 924 9.86 913 9.86 902 9.86 890 |
45 44 43 42 4i |
||||
20 21 22 23 24 |
9.82 830 9.82 844 9.82 858 9.82 872 9.82 885 |
14 14 14 13 *4 14 14 14 14 13 14 14 14 13 14 14 14 13 14 14 H '3 14 14 13 14 H 13 14 13 14 M »3 »4 »3 14 »4 '3 »4 |
9-95 952 9-95 977 9.96 002 9.96 028 9-96 053 |
O.O4 048 O.O4 O23 0.03 998 O.O3 972 0.03 947 |
9.86 879 9.86 867 9.86 855 9.86 844 9.86 832 |
40 39 38 37 36 |
||||
25 26 27 28 29 |
9.82 899 9.82 913 9.82 927 9.82 941 9-82 955 |
9.96 078 9.96 104 9.96 129 9-96 J55 9.96 180 |
0.03 922 0.03 896 0.03 871 0.03 845 0.03 820 |
9.86 821 9.86 809 9.86 798 9.86 786 9.86 775 |
35 H 32 3i |
|||||
30 31 32 33 34 |
9.82 968 9.82 982 9.82 996 9.83 oio 9.83 023 |
9.96 205 9.96 231 9.96 256 9.96 281 9.96 307 |
0.03 795 0.03 769 0.03 744 0.03 719 0.03 693 |
9.86 763 9.86 752 9.86 740 9.86 728 9.86 717 |
30 29 28 27 26 |
|||||
35 36 37 38 39 |
9-83 °37 9.83 051 9.83 065 9.83 078 9.83 092 |
9.96 332 9-96 357 9-96 383 9.96 408 9-96 433 |
0.03 668 0.03 643 0.03 617 0.03 592 0.03 567 |
9.86 705 9.86 694 9.86 682 9.86 670 9.86 659 |
25 24 23 22 21 |
|||||
40 4i 42 43 44 |
9.83 106 9.83 120 9-83 133 9.83 147 9.83 161 |
9-96 459 9.96 484 9.96 510 9-96 535 9.96 560 |
0.03 541 0.03 516 0.03 490 0.03 465 0.03 440 |
9.86 647 9.86 635 9.86 624 9.86 612 9.86 600 |
2O 19 18 17 16 |
|||||
3 47 48 49 |
9-83 174 9.83 188 9.83 202 9-83 215 9.83 229 |
9.96 586 9.96 611 9.96 636 9.96 662 9.96 687 |
0.03 414 0.03 389 0.03 364 0.03 338 0.03 313 |
9.86 589 9.86 577 9.86 565 9-86 554 9.86 542 |
15 14 13 12 II |
|||||
5O 5i 52 53 54 |
9.83 242 9.83 256 9.83 270 9.83 283 9.83 297 |
9.96 712 9.96 738 9.96 763 9.96 788 9.96 814 |
0.03 288 0.03 262 0.03 237 0.03 212 0.03 1 86 |
9.86 530 9.86 518 9-86 507 9.86 495 9-86 483 |
10 9 8 7 6 |
|||||
55 56 57 58 59 |
9.83 310 9.83 324 9.83 338 9.83 351 9.83 365 |
9.96 839 9.96 864 9.96 800 9.96 915 9.96 940 |
0.03 161 0.03 136 0.03 no 0.03 085 0.03 060 |
9.86 472 9.86 460 9.86 448 9.86 436 9-86 425 |
5 4 3 2 I |
|||||
00 |
9.83 378 |
13 |
9.96 966 |
0.03 034 |
9-86 413 |
0 |
||||
I,. Cos. d. |
L. Cotg. ,c. d. L.Tan^. |
I,. Sin. ; <l. |
r |
Prop. Pts. |
47'
43<
r |
L. Sin. |
d. |
L.Tang |
c. d |
L. Cotg. |
L. Cos. |
d. |
Prop. Pts. |
||
O i 2 3 4 |
9-83 378 9-83 392 9-83 4°5 9.83 419 9-83 432 |
14 13 *4 *3 J4 13 M T3 14 »3 H 13 14 13 14 13 14 13 J3 H 13 13 H 13 |
9.96 966 9.96 991 9.97 016 9.97 042 9.97 067 |
25 25 26 25 25 26 25 25 25 26 25 25 26 25 25 26 25 25 26 25 25 26 25 25 25 26 25 25 26 25 25 26 25 25 25 26 25 25 26 25 25 26 25 25 25 26 25 25 26 25 25 25 26 25 25 26 25 25 25 26 |
0.03 034 0.03 009 0.02 984 O.O2 958 0.02 933 |
9.86 413 9.86 401 9.86 389 9-86 377 9.86 366 |
12 12 12 II 12 12 12 12 12 II 12 12 12 12 12 12 12 II 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 |
60 59 58 57 56 |
6 7 |
36 2.6 3-o 3-5 3-9 4-3 8-7 13-0 17-3 21.7 25 2-5 2.9 3-3 3-8 4.2 8-3 12.5 16.7 20.8 14 11 i-9 2.1 2-3 4-7 7.0 9-3 H-7 13 i-3 i.S 1-7 2.0 2.2 ti 8.7 10.8 2 XI :.2 i.i f-4 i-3 .6 1.5 .8 1.7 5.0 1.8 k<> 3-7 >-o 5-5 •o 7-3 >.o 9.2 |
5 6 7 8 9 |
9.83 446 9-83 459 9-83 473 9.83 486 9.83 500 |
9-97 092 9.97 118 9-97 143 9-97 168 9-97 193 |
0.02 908 0.02 882 0.02 857 0.02 832 0.02 807 |
9-86 354 9.86 342 9.86 330 9.86 318 9.86 306 |
55 54 53 52 5i |
8 9 10 20 30 |
||||
in ii 12 13 14 |
9-83 513 9-83 527 9-83 540 9-83 554 9-83 567 |
9.97 219 9-97 244 9.97 269 9-97 295 9-97 320 |
0.02 781 0.02 756 0.02 731 0.02 705 O.O2 680 |
9.86 295 9.86 283 9.86 271 9.86 259 9.86 247 |
50 49 48 47 46 |
40 50 6 8 9 10 20 3° £ 6 8 9 10 20 30 40 50 6 7 8 9 10 20 30 40 50 1 6 ] 7 3 8 ] 9 i 10 S 20 t 30 d 40 S 50 ic |
||||
15 16 17 18 19 |
9-83 58i 9-83 594 9.83 608 9.83 621 9-83 634 |
9-97 345 9-97 371 9-97 396 9.97 421 9-97 447 |
0.02 655 O.O2 629 0.02 604 0.02 579 0.02 553 |
9.86 235 9.86 223 9.86 211 9.86 200 9.86 188 |
45 44 43 42 4i |
|||||
20 21 22 23 24 |
9.83 648 9.83 661 9.83 674 9.83 688 9.83 701 |
9.97 472 9.97 497 9-97 523 9-97 548 9-97 573 |
0.02 528 0.02 503 0.02 477 0.02 452 0.02 427 |
9.86 176 9.86 164 9.86 152 9.86 140 9.86 128 |
40 39 38 i |
|||||
25 26 27 28 29 |
9-83 715 9.83 728 9.83 741 9-83 755 9.83 768 |
J4 13 13 H 13 *3 H 13 13 13 |
9-97 598 9-97 624 9.97 649 9-97 674 9-97 700 |
0.02 402 O.O2 376 0.02 351 O.O2 326 O.O2 300 |
9.86 116 9.86 104 9.86 092 9.86 080 9.86 068 |
35 34 33 32 3i |
||||
30 3i 32 33 34 |
9.83 781 9-83 795 9.83 808 9.83 821 9-83 834 |
9-97 725 9-97 750 9-97 776 9.97 801 9.97 826 |
0.02 275 O.O2 250 0.02 224 O.O2 199 0.02 174 |
9.86 056 9.86 044 9.86 032 9.86 020 9.86 008 |
30 29 28 27 26 |
|||||
35 36 37 38 39 |
9.83 848 9.83 861 9.83 874 9.83 887 9.83 901 |
J4 13 13 13 H |
9-97 851 9-97 877 9.97 902 9-97 927 9-97 953 |
O.O2 149 0.02 123 O.O2 098 0.02 073 0.02 047 |
9.85 996 9.85 984 9.85 972 9.85 960 9.85 948 |
25 24 23 22 21 |
||||
40 4i 42 43 44 |
9.83 914 9.83 927 9.83 940 9-83 954 9.83 967 |
J3 13 13 14 13 *3 13 13 I4 13 13 13 13 13 13 |
9-97 978 9.98 003 9.98 029 9.98 054 9.98 079 |
O.O2 O22 o.oi 997 o.oi 971 o.oi 946 o.oi 921 |
9-85 936 9.85 924 9.85 912 9-85 900 9.85 888 |
12 12 12 12 |
20 19 18 17 16 |
|||
45 46 47 48 49 |
9.83 980 9-83 993 9.84 006 9.84 020 9-84 033 |
9.98 104 9.98 130 9 98 155 9.98 180 9.98 206 |
o.oi 896 o.oi 870 o.oi 845 o.oi 820 o.oi 794 |
9.85 876 9-85 864 9-85 851 9-85 839 9-85 827 |
12 13 12 12 |
IS 14 13 12 II |
||||
50 Si 52 53 54 |
9.84 046 9.84 059 9.84 072 9.84 085 9.84 098 |
9.98 231 9.98 256 9.98 281 9.98 307 9-98 332 |
o.oi 769 o.oi 744 o.oi 719 o.oi 693 o.oi 668 |
9-85 815 9-85 803 9.85 791 9.85 779 9.85 766 |
12 12 12 13 |
10 9 8 6 |
||||
55 56 57 58 59 |
9.84 112 9.84 125 9.84 138 9.84 151 9.84 164 |
13 13 13 13 |
9-98 357 9-98 383 9.98 408 9-98 433 9.98 458 |
o.oi 643 o.oi 617 o.oi 592 o.oi 567 o.oi 542 |
9-85 754 9.85 742 9-85 730 9.85 718 9.85 706 |
12 12 12 12 |
5 4 3 2 I |
|||
60 |
9.84 177 |
9.98 484 |
o.oi 516 |
9-85 693 |
X3 |
0 |
||||
L. Cos. |
d. |
L. Cotg. |c. d. |
L.Tang. |
L. Sin. |
d. |
/• |
Prop. Pts. |
46C
66
44e
/• |
I . Sin. |
d. |
L.Tang. |
c. d. |
L. Cotg. |
L. Cos. |
d. |
Prop. Pts. |
||
o I 2 3 4 |
9.84 177 9.84 190 9.84 203 9.84 216 9.84 229 |
13 13 »3 13 |
9.98 484 9.98 509 9-98 534 9 98 560 9-98 585 |
25 25 26 25 25 25 26 25 25 26 25 25 25 26 25 25 25 26 25 25 26 25 25 25 26 25 25 25 26 25 25 26 25 25 25 26 25 25 25 26 25 25 25 26 25 25 26 25 25 25 26 25 25 25 26 25 25 25 26 25 |
o.oi 516 o.oi 491 o.oi 466 o.oi 440 o.oi 415 |
9-85 693 9.85 681 9.85 669 9-85 657 9.85 645 |
12 12 12 12 |
GO 59 58 57 56 |
6 7 8 9 10 20 30 40 50 6 7 8 9 10 20 30 40 50 6 8 9 10 20 30 40 ero |
26 2.6 £ 3-9 4-3 8-7 13-0 17-3 21.7 35 2-5 2.9 3-3 3-8 4.2 8-3 w-S 16.7 20.8 14 1.4 1.6 1.9 2.1 2-3 4-7 7.0 9-3 11.7 13 i-3 i-S i-7 2.0 2.2 $ 8-7 10.8 13 1.2 1.4 1.6 1.8 2.0 4.0 6.0 8.0 10.0 |
5 6 7 8 9 |
9.84 242 9-84 255 9.84 269 9.84 282 9.84 295 |
J3 13 14 13 13 13 13 13 13 13 13 12 13 13 13 |
9.98 610 9-98 635 9.98 661 9.98 686 9.98 711 |
o.oi 390 o.oi 365 o.oi 339 o.oi 314 o.oi 289 |
9.85 632 9.85 620 9.85 608 9-85 596 9-85 583 |
12 12 12 13 12 12 12 13 12 12 *3 12 12 J3 12 12 13 12 12 13 12 13 12 12 J3 12 13 12 13 12 12 13 12 *3 12 J3 12 13 12 »3 12 13 12 13 »3 12 13 12 »3 12 ^3 13 12 '3 12 |
55 54 53 52 5i |
|||
10 II 12 13 14 |
9.84 308 9.84 321 9-84 334 9-84 347 9.84 360 |
9-98 737 9.98 762 9.98 787 9.98 812 9.98 838 |
o.oi 263 o.oi 238 o.oi 213 o.oi 188 o.oi 162 |
9-85 571 9-85 559 9-85 547 9-85 534 9.85 522 |
50 49 48 47 46 |
|||||
15 16 17 18 19 |
9-84 373 9-84 385 9 84 398 9.84411 9 84 424 |
9.98 863 9.98 888 9.98 913 9-98 939 9.98 964 |
o.oi 137 O.OI 112 o.oi 087 o.oi 061 o.oi 036 |
9-85 5io 9-85 497 9-85 485 9-85 473 9.85 460 |
45 44 43 42 41 |
|||||
20 21 22 23 24 |
9-84 437 9.84 450 9.84 463 9.84 476 9.84 489 |
J3 13 13 13 »3 |
9.98 989 9-99 oi5 9 99 040 9-99 065 9.99 090 |
O.OI Oil o.oo 985 o.oo 960 o.oo 935 o.oo 910 |
9.85 448 9-85 436 9-85 423 9.85 411 9-85 399 |
4O 39 38 37 36 |
||||
25 26 27 28 29 |
9.84 502 9-84 515 9.84 528 9.84 540 9-84 553 |
T3 *3 13 12 13 13 13 J3 13 13 12 13 13 13 13 12 13 13 13 12 13 13 *3 12 »3 13 13 12 13 13 12 13 13 12 13 13 |
9.99 116 9-99 141 9.99 166 9 99 191 9-99 217 |
o.oo 884 o.oo 859 o.oo 834 o.oo 809 o.oo 783 |
9.85 386 9-85 374 9-85 361 9-85 349 9-85 337 |
35 34 33 32 3i |
||||
30 3i 32 33 34 |
9.84 566 9-84 579 9.84 592 9-84 605 9.84 618 |
9.99 242 9-99 267 9-99 293 9.99 318 9-99 343 |
o.oo 758 o.oo 733 o.oo 707 o.oo 682 o.oo 657 |
9-85 324 9-85 312 9.85 299 9-85 287 9.85 274 |
3O 29 28 27 26 |
|||||
35 36 37 38 39 |
9-84 630 9-84 643 9.84 656 9.84 669 9.84 682 |
9.99 368 9-99 394 9-99 419 9.99 444 9-99 469 |
o.oo 632 o.oo 606 o.oo 581 o.oo 556 o.oo 531 |
9.85 262 9.85 250 9-85 237 9.85 225 9.85 212 |
25 24 23 22 21 |
6 |
||||
40 4i 42 43 44 |
9.84 694 9.84 707 9.84 720 9-84 733 9-84 745 |
9-99 495 9-99 520 9-99 545 9-99 570 9-99 596 |
o.oo 505 o.oo 480 o.oo 455 o.oo 430 o.oo 404 |
9.85 200 9.85 187 9-85 175 9.85 162 9.85 150 |
20 19 18 17 16 |
7 8 9 10 20 3° |
||||
45 46 47 48 49 |
9.84 758 9.84 771 9.84 784 9.84 796 9.84 809 |
9.99 621 9-99 646 9-99 672 9-99 697 9-99 722 |
o.oo 379 o.oo 354 o.oo 328 o.oo 303 o.oo 278 |
9-85 137 9-85 125 9-85 "2 9.85 ioo 9.85 087 |
15 H 13 12 II |
40 50 6 8 9 10 |
||||
5O 5i 52 53 54 |
9.84 822 9-84 835 9.84 847 9.84 860 9.84 873 |
9-99 747 9-99 773 9-99 798 9-99 823 9-99 848 |
o.oo 253 o.oo 227 0.00 202 o.oo 177 o.oo 152 |
9-85 074 9.85 062 9.85 049 9-85 037 9-85 024 |
10 9 8 6 |
|||||
55 56 57 58 59 |
9 84 885 9.84 898 9.84911 9.84 923 9.84 936 |
9-99 874 9-99 899 9-99 924 9-99 949 9-99 975 |
o.oo 126 O.OO IOI o.oo 076 o.oo 051 o.oo 025 |
9.85 012 9.84 999 9.84 986 9.84 974 9.84 9°i |
5 4 3 2 I |
20 30 40 50 |
||||
00 |
9.84 9 jrv |
0.00 000 |
O.OO 000 |
9.84 949 |
0 |
|||||
L. Cos. |
d. |
L. Cot*. |
c. d. L.Tang. |
L. Sin. |
d. |
f |
Prop. Pts. |
45C
o<
TABLE IV.
r r |
r |
s |
T |
0 60 120 1 80 240 |
o i 2 3 4 |
4-68557 .68557 .68557 .68557 •68557 |
4-68557 -68557 .68557 .68557 .68558 |
300 360 420 480 540 |
5 6 7 8 9 |
4.68557 .68557 •68557 •68557 .68557 |
4.68558 .68558 .68558 .68558 .68558 |
600 660 720 780 840 |
10 ii 12 13 14 |
4-68557 •68557 .68557 .68557 .68557 |
4-68558 .68558 .68558 .68558 .68558 |
900 960 1020 I080 1140 |
II 17 18 19 |
4-68557 .68557 .68557 .68557 .68557 |
4-68558 .68558 .68558 .68558 • .68558 |
1200 1260 1320 1380 I440 |
20 21 22 23 24 |
4-68557 .68557 .68557 .68557 .68557 |
4-68558 .68558 .68558 .68558 .68558 |
1500 1560 1620 1680 1740 |
25 26 27 28 29 |
4-68557 .68557 •68557 .68557 .68557 |
4-68558 .68558 .68558 .68558 •68559 |
1800 1860 1920 1980 2040 |
30 31 32 33 34 |
4-68557. .68557 .68557 .68557 -68557 |
4-68559 .68559 .68559 •68559 •68559 |
2100 2160 2220 228O 2340 |
35 36 37 38 39 |
4-68557 .68557 .68557 .68557 .68557 |
4-68559 .68559 .68559 .68559 •68559 |
2400 2460 2520 2580 2640 |
40 41 42 43 44 |
4-68557 .68556 .68556 .68556 .68556 |
4-68559 .68560 .68560 .68560 .68560 |
2700 2760 2820 2880 2940 |
45 46 47 48 49 |
4-68556 .68556 .68556 .68556 .68556 |
4.68560 .68560 .68560 .68560 .68560 |
3OOO 3060 3120 3180 3240 |
50 51 52 53 54 |
4.68556 .68556 .68556 .68556 .68556 |
4.68561 .68561 .68561 .68561 .68561 |
3300 3360 3420 3480 3540 |
55 56 57 58 59 |
4.68556 .68556 .68555 .68555 -68555 |
4.68561 .68561 .6856! .68562 .68562 |
3600 |
60 |
4-68555 |
4.68562 |
r r |
r |
S |
T |
3600 3660 3720 3780 3840 |
0 i 2 3 4 |
4.68555 •68555 •68555 .68555 •68555 |
4.68562 .68562 .68562 .68562 .68563 |
3900 3960 4020 4080 4140 |
i 7 8 9 |
4.68555 .68555 .68555 .68555 .68555 |
4.68563 .68563 .68563 .68563 .68563 |
4200 4260 4320 4380 4440 |
10 ii 12 13 14 |
4-68554 .68554 .68554 •68554 •68554 |
4.68563 .68564 .68564 .68564 .68564 |
4500 456o 4620 4680 4740 |
15 16 17 18 19 |
4-68554 .68554 •68554 .68554 •68554 |
4-68564 .68565 .68565 .68565 .68565 |
4800 4860 4920 4980 5040 |
20 21 22 23 24 |
4.68554 .68553 .68553 .68553 •68553 |
4-68565 .68566 .68566 .68566 .68566 |
5100 5160 5220 5280 5340 |
25 26 27 28 29 |
4-68553 •68553 •68553 •68553 .68553 |
4.68566 .68567 .68567 .68567 .68567 |
5400 546o 5520 558o 5640 |
30 31 32 33 34 |
4-68553 .68552 .68552 .68552 .68552 |
4-68567 .68568 .68568 .68568 .68568 |
5700 576o 5820 5880 5940 |
CO CO CO CO CO vO OOvj O\Cn |
4.68552 .68552 .68552 .68552 .68551 |
4.68569 .68569 .68569 .68569 .68569 |
6000 6060 6120 6180 6240 |
40 42 43 44 |
4-68551 .68551 .68551 .68551 .68551 |
4.68570 .68570 .68570 .68570 .68571 |
6300 6360 6420 6480 6540 |
45 46 47 48 49 |
4-68551 .68551 .68550 .68550 .68550 |
4.68571 .68571 .68572 .68572 .68572 |
6600 6660 6720 6780 6840 |
So 51 52 53 54 |
4.68550 .68550 .68550 .68550 .68550 |
4-68572 .68573 .68573 .68573 •68573 |
6900 6960 7020 7080 7140 |
55 56 57 58 59 |
4.68549 .68549 .68549 .68549 .68549 |
4.68574 .68574 .68574 .68575 .68575 |
7200 |
60 |
4.68549 |
4-68575 |
Log sin a = log a " -f S.
Log tan a — log a " -j- T.
68
r r |
A |
S |
T |
7200 7260 7320 7380 7440 |
o 2 3 4 |
4.68549 .68549 .68548 .68548 .68548 |
4-68575 •68575 .68576 .68576 .68576 |
7500 7560 7620 7680 7740 |
5 6 7 8 9 |
4.68548 .68548 .68548 .68547 .68547 |
4.68577 .68577 .68577 .68578 .68578 |
7800 7860 7920 7980 8040 |
10 ii 12 13 14 |
4.68547 •68547 .68547 .68547 .68546 |
4.68578 .68579 •68579 .68579 .68579 |
8100 8160 8220 8280 8340 |
15 16 17 18 19 |
4-68546 .68546 .68546 .68546 .68546 |
4.68580 .68580 .68580 .68581 .68581 |
8400 8460 8520 8580 8640 |
20 21 22 23 24 |
4-68545 •68545 •68545 •68545 .68545 |
4.68582 .68582 .68582 .68583 .68583 |
8700 8760 8820 8880 8940 |
25 26 27 28 29 |
4-68545 •68544 .68544 .68544 .68544 |
4-68583 .68584 .68584 .68584 .68585 |
9000 9060 9120 9180 9240 |
30 31 32 33 34 |
4.68544 .68544 •68543 .68543 .68543 |
4.68585 .68585 .68586 .68586 .68587 |
9300 9360 9420 9480 9540 |
35 36 37 38 39 |
4-68543 •68543 .68542 .68542 .68542 |
4.68587 .68587 .68588 .68588 .68588 |
9600 9660 9720 9780 9840 |
40 4i 42 43 44 |
4.68542 .68542 .68541 .68541 .68541 |
4.68589 .68589 .68590 •68590 .68590 |
9900 9960 10020 I0080 IOI40 |
45 46 47 48 49 |
4-68541 .68541 .68540 .68540 .68540 |
4.68591 .68591 .68592 .68592 .68592 |
10200 10260 10320 10380 10440 |
50 Si 52 53 54 |
4.68540 .68540 .68539 •68539 •68539 |
4-68593 •68593 .68594 .68594 •68595 |
10500 10560 I062O 10680 10740 |
55 56 57 58 59 |
4.68539 .68539 .68538 .68538 .68538 |
4.68595 •68595 .68596 .68596 .68597 |
10800 |
60 |
4.68538 |
4.68597 |
rr |
r |
S |
T |
10800 10860 10920 10980 11040 |
0 i 2 3 4 |
4-68538 .68537 •68537 .68537 .68537 |
4.68597 .68598 .68598 .68599 .68599 |
IIIOO 11160 1 1 220 II280 II340 |
5 6 8 9 |
4-68537 .68536 .68536 .68536 .68536 |
4.68599 .68600 .68600 .68601 .68601 |
II400 II460 II520 II580 11640 |
10 ii 12 13 14 |
4-68535 •68535 .68535 •68535 •68534 |
4.68602 .68602 .68603 .68603 .68604 |
II7OO II760 II820 II880 II940 |
IS 16 17 18 19 |
4-68534 •68534 .68534 .68533 -68533 |
4.68604 .68605 .68605 .68606 .68606 |
12000 I2O6O I2I20 I2I80 12240 |
20 21 22 23 24 |
4-68533 •68533 .68532 .68532 •68532 |
4.68607 .68607 .68608 .68608 .68609 |
12300 12360 I242O 12480 12540 |
25 26 27 28 29 |
4-68532 .68531 .68531 .68531 .68531 |
4.68609 .68610 .68610 .68611 .68611 |
I26OO 12660 12720 12780 12840 |
3Q, 31 32 33 34 |
4.68530 .68530 .68530 •68530 .68529 |
4.68612 .68612 .68613 .68613 .68614 |
12900 12960 13020 13080 I3I40 |
3 37 38 39 |
4.68529 .68529 .68529 .68528 .68528 |
4.68614 .68615 .68615 .68616 .68616 |
13200 13260 13320 13380 13440 |
40 4i 42 43 44 |
4.68528 .68528 .68527 .68527 .68527 |
4.68617 .68617 .68618 .68618 .68619 |
13500 13560 13620 13680 13740 |
45 46 47 48 49 |
4.68526 .68526 .68526 .68526 .68525 |
4.68620 .68620 .68621 .68621 .68622 |
13800 13860 13920 13980 14040 |
50 51 52 53 54 |
4-68525 .68^25 .68525 .68524 .68524 |
4.68622 .68623 .68623 .68624 .68625 |
I4IOO I4I60 14220 14280 14340 |
55 56 57 58 59 |
4.68524 .68523 .68^23 .68523 .68522 |
4.68625 .68626 .68626 .68627 .68628 |
14400 |
60 |
4.68522 |
4.68628 |
Log sin a = log a " -f S.
Log tan a — log a "
TABLE V.
NATURAL
SINES, COSINES, TANGENTS, AND COTANGENTS.
o / |
N. Sin. |
N. Tan. |
N. Cot. |
N. Cos. |
0 / |
N. Sin. |
N. Tan. |
N. Cot. |
N. Cos. |
||
0 o 5 10 15 20 25 |
.00 000 145 291 436 582 727 |
.00 OOO 145 291 436 582 727 |
Infinity. 687.55 343-77 229.18 171.89 I37.5I |
Unity. •99 999 998 997 |
90 o 55 5o 45 40 35 |
230 35 40 45 50 55 |
.04 362 507 653 798 .04 943 .05 088 |
.04 366 512 658 803 .04 949 •05 095 |
22.904 22.164 21.470 20.819 20.206 19.627 |
•99 905 898 892 885 878 870 |
87 30 25 20 15 10 5 |
30 35 40 45 So 55 |
.00 873 .01 018 164 3°9 454 600 |
.00873 .01 018 164 309 455 600 |
114-59 98.218 85.940 76.390 68.750 62.499 |
•99 996 995 993 991 989 987 |
3° 25 20 15 10 5 |
3 o 5 10 15 20 25 |
•05 234 379 524 669 814 .05 960 |
.05 241 387 533 678 824 .05 970 |
19.081 18.564 18.075 17.611 17.169 16.750 |
.99 863 855 847 839 831 822 |
87 o 55 So 45 40 35 |
1 0 5 10 15 20 25 |
•oi 745 .01 891 .02 036 181 327 472 |
.01 746 .01 891 .02 036 182 328 473 |
57.290 52.882 49.104 45-829 42.964 40.436 |
.99 985 982 979 976 973 969 |
89 o 55 So 45 40 35 |
30 35 40 45 So 55 |
.06 105 250 395 540 685 831 |
.06 116 262 408 554 700 847 |
16.350 15.969 .605 15-257 14.924 .606 |
.99 813 804 795 786 776 766 |
30 25 20 15 10 5 |
30 35 40 45 50 55 |
.02 618 763 .02 908 •°3 °54 199 345 |
.02 619 764 .02 910 •03 055 201 346 |
38.188 36.178 34.368 32.730 31.242 29.882 |
.99 966 962 958 953 949 944 |
3° 25 20 15 10 5 |
4 o 5 10 15 20 25 |
.06 976 .07 121 266 411 556 701 |
.06 993 .07 139 285 43i 578 724 |
14.301 14.008 13.727 •457 I3.I97 12.947 |
•99 756 746 736 . 725 714 703 |
86 o 55 50 45 40 35 |
2 o 5 10 15 20 25 |
.03 490 635 781 .03 926 .04 071 217 |
.03 492 638 783 .03 929 •04075 220 |
28.636 27.490 26.432 25-452 24.542 23-695 |
•99 939 934 929 923 917 911 |
88 o 55 50 45 40 35 |
30 35 40 45 So 55 |
.07 846 .07 991 .08 136 281 426 571 |
.07 870 .08 017 163 3°9 456 602 |
12.706 •474 .251 12.035 11.826 .625 |
.99 692 680 668 657 644 632 |
30 25 20 IS 10 5 |
2 30 |
.04 362 |
.04 366 |
22.904 |
•99 905 |
87 30 |
5 o |
.08 716 |
.08 749 |
11.430 |
.99 619 |
85 o |
N. Cos. |
N. Cot. |
N. Tan. |
N. Sin. |
o f |
N. Cos. |
N. Cot. |
N. Tan. |
N. Sin. |
0 / |
0 f |
X. Sin. |
N. Tan. |
N. Cot. |
N. Cos. |
0 1 |
. Sin. |
N.Tan |
N. Cot. |
N.Cos. |
||
5 o 5 10 15 20 25 |
.08 716 .08 860 .09005 150 295 440 |
.08 749 .08 895 .09042 189 335 482 |
11-430 .242 11.059 10.883 .712 .546 |
•99 619 607 594 58o 567 553 |
85 o 55 So 45 40 35 |
10 o 5 10 15 20 25 |
7365 508 651 794 7937 8 081 |
•17 633 783 •17 933 .18 083 233 384 |
5-6713 •6234 •5764 •5301 .4845 •4397 |
.98 481 455 430 404 378 352 |
80 o 55 So 45 - 40 35 |
30 35 40 45 So 55 |
-09585 729 .09 874 .10 019 164 308 |
.09 629 776 .09923 .10 069 216 363 |
10.385 .229 10.078 9.9310 .7882 •6493 |
•99 540 526 5" 497 482 467 |
30 25 20 15 10 5 |
30 35 40 45 50 55 |
8 224 367 509 652 795 8 938 |
.18 534 684 - 835 .18986 .19 136 287 |
5-3955 •3521 > •3093 .2672 •2257 .1848 |
•98 325 299 272 245 218 190 |
30 25 20 15 IO 5 |
6 o 5 10 15 20 25 |
•10 453 597 742 .10 887 .11 031 176 |
.10 510 657 805 .10 952 .11099 246 |
9-5I44 •3831 •2553 .1309 9.0098 8.8919 |
•99 452 437 421 406 390 374 |
84 o 55 So 45 40 35 |
11 0 5 10 15 20 25 |
9 061 224 366 509 652 794 |
.19 438 589 740 .19 891 .20 042 194 |
5.1446 .1049 .0658 5-0273 4.9894 .9520 |
.98 163 135 107 079 050 .98 021 |
79 o 55 So 45 40 35 |
30 35 40 45 So 55 |
.11 320 465 609 754 .11 898 .12 043 |
•ii 394 54i 688 836 .11 983 .12 131 |
8.7769 .6648 -5555 .4490 •3450 •2434 |
•99 357 34i 324 307 290 272 |
30 25 20 15 10 5 |
30 35 40 45 So 55 |
9937 o 079 222 364 507 649 |
•20 345 497 648 800 .20 952 .21 104 |
4-9I52 .8788 .8430 .8077 .7729 .7385 |
•97 992 963 934 905 875 845 |
30 25 20 15 10 5 |
1 0 5 zo 15 20 25 |
.12 187 331 476 620 764 .12 908 |
.12 278 426 574 722 .12 869 .13 017 |
8-1443 8.0476 7-9530 .8606 .7704 .6821 |
•99 255 237 219 200 182 I63 |
83 o 55 So 45 40 35 |
12 o 5 10 15 20 25 |
o 791 0933 I 076 218 360 502 |
.21 256 408 560 712 .21 864 .22 017 |
4.7046 .6712 .6382 .6057 .5736 .5420 |
•97 815 784 754 723 692 661 |
78 o 55 50 45 40 35 |
3° 35 40 45 50 55 |
•13 053 197 341 485 629 773 |
•13 165 313 46! 609 758 .13906 |
7.5958 •5113 .4287 •3479 .2687 .1912 |
•99 144 125 106 087 067 047 |
30 25 20 15 10 5 |
30 35 40 45 50 55 |
I 644 786 I 928 2 070 212 353 |
.22 169 322 475 628 781 .22 934 |
4-5I07 •4799 .4494 .4194 •3897 .3604 |
.97 630 598 566 534 502 470 |
3° 25 20 15 10 5 |
8 o 5 10 IS 20 25 |
•13 917 .14 061 205 349 493 637 |
•14 054 202 351 499 . 648 796 |
7-II54 7.0410 6.9682 .8969 .8269 .7584 |
.99 027 .99006 .98 986 965 944 923 |
82 o 55 50 45 40 35 |
13 o 5 10 15 20 25 |
2495 637 778 2 92O 3 062 203 |
.23 087 240 393 547 700 •23 854 |
4-33I5 •3029 .2747 .2468 .2193 .1922 |
•97 437 404 37i 338 304 271 |
77 o 55 50 45 40 35 |
3'o 35 40 45 50 55 |
.14781 •14 925 .15069 212 356 500 |
•14 945 .15094 243 39i 540 689 |
6.6912 .6252 - .5606 .4971 .4348 •3737 |
.98 902 880 858 836 814 79i |
30 25 20 15 10 5 |
30 35 40 45 50 55 |
3345 486 627 769 3 91° 4051 |
.24 008 162 316 470 624 778 |
4-1653 .1388 .1126 .0867 .0611 •0358 |
•97 237 203 169 134 100 065 |
30 25 20 15 10 5 |
9 o 5 10 IS 20 25 |
•15 643 787 •15 931 .16074 8X8 361 |
• 15 838 •15 988 .16 137 286 435 585 |
6.3138 •2549 .1970 .1402 .0844 6.0296 |
.98 769 746 723 700 676 652 |
81 o 55 So 45 40 35 |
14 o 5 10 15 20 25 |
4 192 333 474 615 756 4897 |
•24933 .25 087 242 397 552 707 |
4.0108 3-9861 .9617 •9375 .9136 .8900 |
.97 030 •96 994 959 923 887 851 |
76 o 55 50 45 40 35 |
30 35 40 45 So 55 |
.16 505 648 792 •16 935 17078 222 |
•16 734 .16 884 •17 033 183 81 |
5.9758 .9228 .8708 .8197 .7694 .7199 |
.98 629 604 580 556 53i 506 |
30 25 20 15 10 5 |
30 35 40 45 50 55 |
5 038 179 320 460 601 741 |
.25 862 .26 017 172 328 483 639 |
3-8667 .8436 .8208 .7983 .7760 •7539 |
.96 815 778 742 70S 667 630 |
30 25 20 15 10 5 |
10 o |
I736S |
•17 633 |
5.6713 |
.98 481 |
80 o |
100 |
5 882 |
.26 795 |
3-7321 |
-96593 |
75 o |
N.Cos. |
N. Cot. | |
N.Tan. |
N. Sin. |
0 / |
Cos. |
N. Cot. |
N.Tan. |
N. Sin. |
o ; |
o / |
N. Sin. |
N. Tan. |
N.Cot. |
N.Coa. |
o r |
N. Sin. |
N. Tan. |
N. Cot. |
N.Cos. |
||
15 o 5 10 15 20 25 |
.25 882 .26 022 163 303 443 584 .26 724 .26 864 .27004 144- 284 424 |
.26 795 .26 951 .27 107 263 419 576 |
3-7321 •7105 .6891 .6680 .6470 .6264 |
•96 593 555 517 479 440 402 |
75 o 55 So 45 40 35 |
20 o 5 10 IS 20 25 |
• 34 202 339 475 612 748 •34 884 |
•36 397 562 727 .36 892 •37 057 223 |
2-7475 .7351 .7228 .7106 .6985 .6865 |
•93 969 919 869 819 769 718 |
70 o 55 So 45 40 35 |
3° 35 40 45 So S5 |
.27 732 .27 889 .28 046 203 360 517 |
3-6059 •5K .5656 •5457 .5261 .5067 |
.96 363 324 28I 246 206 166 |
30 25 20 15 10 5 |
30 35 40 45 50 55 |
•35 021 157 293 429 565 701 |
•37 388 554 720 •37 887 •38 053 220 |
2.6746 .6628 .6511 .6395 .6279 .6165 |
.93 667 616 565 514 462 410 |
30 25 20 IS IO 5 |
|
16 o 5 10 15 20 25 |
•27 564 704 843 .27 983 .28 123 262 |
.28 675 832 .28 990 •29 147 305 463 |
34874 .4684 •4495 •4308 .4124 -3941 |
.96 126 - 086 046 .96005 •95 964 923 |
74 o 55 So 45 40 35 |
21 o 5 10 15 20 25 |
•35 837 •35 973 .36 108 244 379 515 |
.38 386 553 721 .38 888 •39 055 223 |
2.6051 .5938 .5826 .5715 .5605 •5495 |
•93 358 306 253 201 148 095 |
69 o 55 50 45 40 35 |
30 35 40 45 So 55 |
.28 402 541 680 820 .28 959 .29098 |
.29 621 780 •29 938 .30 097 255 - 4H |
3-3759 .358o .3402 .3226 •3052 .2879 |
•95 882 841 799 757 715 673 |
30 25 20 15 10 5 |
3° 35 40 45 50 55 |
.36 650 785 .36 921 -37 056 I9J 326 |
•39 391 559 727 .39 896 .40065 234 |
2.5386 .5279 •5172 •5065 .4960 .4855 |
•93 042 .92 988 935 881 827 773 |
30 25 20 15 10 5 |
17 o 5 10 15 20 25 |
.29 237 376 515 654 793 .29 932 |
•30 573 732 .30 891 •3i 051 210 370 |
3.2709 •2539 .2371 .2205 .2041 .1878 |
•95 630 588 545 502 459 415 |
73 o 55 5o 45 40 35 |
22 o 5 10 15 20 25 |
•37 461 595 730 865 •37 999 •38 134 |
.40 403 572 74i .40 911 .41 081 251 |
2.4751 .4648 •4545 •4443 •4342 .4242 |
.92 718 664 609 554 499 444 |
68 o 55 5o 45 40 35 |
30 35 40 45 So 55 |
.30 071 209 348 486 625 763 |
•31 530 690 •31 850 .32 oio 171 331 |
3.1716 .1556 .1397 .1240 .1084 .0930 |
•95 372 328 284 240 195 150 |
30 25 20 15 10 5 |
3° 35 40 45 So 55 |
.38 268 403 537 671 805 -38 939 |
.41 421 592 763 .41 933 .42 105 276 |
2.4142 •4043 •3945 .3847 •3750 •3654 |
.92 388 332 276 220 I64 107 |
30 25 20 15 10 5 |
18 o 5 10 15 20 25 |
.30 902 .31 040 178 316 454 593 |
.32 492 653 814 •32 975 •33 136 298 |
3.0777 .0625 .047! .0326 .0178 3.0032 |
95 106 061 •95 015 •94 970 924 878 |
72 o 55 So 45 40 35 |
23 o 5 10 IS 20 25 |
•39073 207 341 474 608 741 |
.42447 619 791 .42 963 •43 136 308 |
2-3559 •3464 .3369 .3276 •3183 .3090 |
.92 050 .91 994 936 879 822 764 |
67 o 55 50 45 40 35 |
30 35 40 45 So 55 |
•3i 730 .31 868 .32006 144 282 419 |
•33 46o 621 783 •33 945 •34 108 270 |
2.9887 •9743 .9600 •9459 •9319 .9180 |
•94 832 786 740 693 646 599 |
30 25 20 15 IO 5 |
30 35 40 45 50 55 |
•39 875 .40 008 141 275 408 54i |
•43 48i 654 .43 828 .44001 175 349 |
2.2998 .2907 .2817 .2727 .2637 •2549 |
.91 706 648 590 531 472 414 |
30 25 20 15 10 5 |
19 o 5 10 15 20 25 |
•32 557 694 832 .32 969 .33 106 244 |
•34 433 596 758 •34 922 •35 085 248 |
2.9042 .8905 .8770 .8636 .8502 •8370 . |
•94 552 504 457 409 361 313 |
71 o 55 So 45 40 35 |
24 o 5 10 15 20 25 |
.40 674 806 •40 939 .41 072 204 337 |
•44523 697 .44872 •45 047 222 397 |
2.2460 .2373 .2286 .2199 .2113 .2028 |
•91 355 295 236 176 116 .91 056 |
66 o 55 So 45 40 35 |
30 35 40 45 So 55 |
•33 38i I1- 655 792 •33 929 •34 065 |
•35 412 576 740 •35 9°4 .36 068 232 |
2.8239 .8109 .7980 •7852 •7725 .7600 |
.94 264 215 167 118 068 •94 019 |
30 25 20 15 10 5 |
30 35 40 45 So 55 |
.41 469 602 734 866 .41 998 .42 130 |
•45 573 748 •45 924 .46 101 277 454 |
2-1943 .1859 • 1775 .1692 .1609 • 1527 |
.90996 936 875 814 753 692 |
30 25 20 15 10 5 |
20 o |
.34 202 |
•3J5 397 |
2-7475 |
•93 969 |
70 o |
25 o |
.42 262 |
.46 631 |
2.1445 |
.90 631 |
65 o |
N. Cos. |
F. Cot. | N. Tan. |
N. Sin. |
o / |
N.Cos. |
N. Cot. |
N. Tan. |
N. Sin. |
o / |
.
o t |
N. Sin. |
N. Tan. |
N. Cot. |
N. Cos. |
o / |
N. Sin. |
N. Tan. |
N. Cot. |
N. Cos. |
||
25 o 5 10 IS 20 25 |
.42 262 394 525 657 788 .42 920 |
.46 631 808 .46 985 •47 163 34i 519 |
2.1445 .1364 .1283 .1203 .1123 .1044 |
.90631 569 507 446 383 321 |
65 o 55 So 45 40 35 |
30 o 5 10 15 20 25 |
.50 ooo 126 252 377 503 628 |
•57 735 •57 929 .58 124 3i8 513 709 |
1.7321 .7262 .7205 .7147 .7090 .7033 |
.86 603 530 457 384 310 237 |
60 o 55 50 45 40 35 |
30 35 40 45 So 55 |
•43 051 182 313 445 575 706 |
.47 698 •47 876 •48 055 234 414 593 |
2.0965 .0887 .0809 .0732 •0655 •0579 |
.90 259 196 133 070 .90007 •89 943 |
3° 25 20 15 10 5 |
30 35 40 45 So 55 |
754 .50 879 .51 004 129 254 379 |
.58 905 .59 ioi 297 494 691 •59 888 |
1.6977 .6920 .6864 .6808 .6753 .6698 |
.86 163 089 .86 015 .85 941 866 792 |
30 25 20 15 10 5 |
26 o 5 10 15 20 25 |
•43 837 .43 968 .44098 229 359 490 |
•48 773 •48 953 •49 134 315 495 677 |
2.0503 .042,8 •0353 .0278 .0204 .0130 |
.89 879 816 752 687 623 558 |
64 o 55 So 45 40 35 |
31 o 5 10 15 20 25 |
•51 504 628 753 •Si 877 .52 002 126 |
.60086 284 483 681 .6© 881 .61 080 |
1.6643 .6588 •6534 •6479 .6426 •6372 |
•85 717 642 567 491 416 340 |
59 o 55 So 45 40 35 |
30 35 40 45 50 55 |
.44 620 750 .44880 •45 oio 140 269 |
•49 858 .50 040 222 404 587 769 |
2.0057 1.9984 .9912 .9840 .9768 •9697 |
.89 493 428 363 298 232 167 |
30 25 20 15 10 5 |
30 35 40 45 So 55 |
.52 250 374 498 621 745 869 |
.61 280 480 68 1 .61 882 .62 083 285 |
1.6319 .6265 .6212 .6160 .6107 •6055 |
.85 264 188 112 •85 035 •84 959 882 |
30 25 20 15 10 5 |
27 o 5 10 15 20 25 |
•45 399 529 658 787 •45 917 .46 046 |
•So 953 .51 136 319 503 688 .51 872 |
1.9626 •9556 .9486 .9416 .9347 •9278 |
.89 101 •89 035 .88 968 902 835 768 |
68 o 55 So 45 40 35 |
32 o 5 10 15 20 25 |
•52 992 •53 "5 238 361 484 607 |
.62 487 689 .62 892 •63095 299 503 |
1.6003 •5952 .5900 .5849 •5798 •5747 |
.84 805 728 650 573 495 417 |
58 o 55 So 45 40 35 |
3° 35 40 45 50 55 |
•46 175 304 433 56i 690 819 |
•52 057 242 427 613 798 •52 985 |
1.9210 .9142 .9074 .9007 .8940 .8873 |
.88 701 634 566 499 431 363 |
30 25 20 15 10 5 |
30 35 4° 45 50 55 |
•53 73° 853 •53 975 •54 097 220 342 |
.63 707 .63 912 .64 117 322 528 734 |
1.5697 •5647 •5597 •5547 •5497 .5448 |
•84 339 261 182 104 .84 025 .83 946 |
30 25 20 15 10 5 |
28 o 5 10 15 20 25 |
.46 947 •47 076 204 332 460 588 |
•53 171 358 545 732 •53 920 •54 107 |
1.8807 .8741 .8676 .8611 .8546 .8482 |
.88 295 226 158 089 .88 020 •87 951 |
62 o 55 So 45 40 35 |
33 o 5 10 15 20 25 |
•54 464 586 708 829 •54 95i •55 072 |
.64 941 •65 148 355 563 771 .65 980 |
1-5399 •5350 •5301 •5253 .5204 .5156 |
•83 867 788 708 629 549 469 |
67 o 55 5o 45 40 35 |
30 35 40 45 So 55 |
•47 7i6 844 •47 97i .48099 226 354 |
•54 296 484 673 .54 862 •55 051 241 |
1.8418 .8354 .8291 .8228 .8165 .8103 |
.87 882 812 743 673 603 532 |
30 25 20 15 10 5 |
3° 35 40 45 50 55 |
•55 194 3i5 436 557 678 799 |
.66 189 398 608 .66 818 .67 028 239 |
1.5108 .5061 •5013 .4966 .4919 •4872 |
•83 389 308 228 147 .83066 .82 985 |
30 25 20 15 10 5 |
29 o 5 10 IS 20 25 |
.48 481 608 735 862 .48 989 .49 116 |
•55 43i 621 •55 812 .56003 194 385 |
1.8040 •7979 .7917 .7856 .7796 •7735 |
.87 462 391 321 250 178 107 |
61 o 55 So 45 40 35 |
34 o 5 10 15 20 25 |
•55 9*9 .56 040 160 280 401 521 |
•67 451 663 .67 875 .68 088 301 514 |
1.4826 •4779 •4733 •4687 .4641 •4596 |
.82 904 822 741 659 577 495 |
56 o 55 50 45 40 35 |
30 35 40 45 50 55 |
.49 242 369 495 622 748 •49 874 |
•56 577 769 .56962 •57 155 348 54i |
1.7675 •7615 .7556 .7496 •7437 •7379 |
.87 036 .86 964 892 820 748 675 |
30 25 20 IS 10 5 |
30 35 40 45 So 55 |
641 760 .56 880 .57000 119 238 |
.68 728 .68 942 •69 157 372 588 .69804 |
1-4550 .4505 .4460 .4415 •4370 .4326 |
.82 413 330 248 165 .82 082 .81 999 |
30 25 20 15 10 5 |
30 o |
.50 ooo |
.57 735 |
1.7321 |
.86603 |
60 o |
36 o |
•57 358 |
.70 021 |
1.4281 |
.81 915 |
55 o |
N. Cos. |
N. Cot. |
N.Tan. |
N. Sin. |
o / |
N. Cos. |
N. Cot. |
N. Tan. |
N. Sin. |
0 f |
73
0 I |
N. Sin. |
N. Tan. |
N. Cot. |
N.Cos. |
o t |
N. Sin. |
N. Tan. |
N.Cot. |
N.Cos. |
||
35 o 5 10 15 2O 25 |
•57 358 477 596 7iS 833 •57 952 |
.70 021 238 455 673 .70 891 .71 no |
1.4281 •4237 •4i93 .4150 .4106 .4063 |
.81 915 832 748 664 580 496 |
55 o 55 So 45 40 35 |
40 o 5 10 15 20 25 |
.64 279 390 501 612 723 834 |
.83 910 •84 158 407 656 .84 906 •85 i57 |
1.1918 .1882 .1847 .1812 .1778 •1743 |
.76 604 5" 4i7 323 229 135 |
50 o 55 So 45 4° 35 |
30 35 40 45 5o 55 |
.58 070 189 307 425 543 66 1 |
.71 329 549 769 71 99p .72 211 432 |
1.4019 •3976 •3934 .3891 •3848 .3806 |
.81 412 327 242 157 .81 072 .80 987 |
30 25 20 15 10 5 |
30 35 40 45 50 55 |
.64 945 •65 055 166 276 386 496 |
.85 408 660 •85 912 .86 166 419 674 |
1.1708 .1674 .1640 .1606 • 1571 •1538 |
.76 041 •75 946 85J 756 661 566 |
30 25 20 15 10 5 |
36 o 5 10 15 20 25 |
•58 779 .58 896 .59014 131 248 365 |
.72 654 .72 877 •73 I00 323 547 771 |
1-3764 •3722 .3680 •3638 •3597 •3555 |
.80 902 816 730 644 558 472 |
54 o 55 So 45 40 35 |
41 o 5 10 15 20 25 |
.65 606 716 « 8^ •65 935 .66 044 153 |
.86 929 .87 184 441 698 •87 955 .88 214 |
1.1504 .1470 .1436 .1403 .1369 •1336 |
•75 47i 375 280 184 •75 088 -74 992 |
49 o 55 So 45 40 35 |
30 35 40 45 50 55 |
.59 482 599 716 832 •59 949 .60 065 |
•73 996 .74 221 447 674 .74 900 •75 128 |
I-35H •3473 •3432 •3392 •3351 •33" |
.80 386 299 212 125 .80 038 •79 95i |
30 25 20 15 10 5 |
30 35 40 45 50 55 |
.66 262 37i 480 588 697 805 |
.88 473 732 .88 992 •89 253 515 .89 777 |
1.1303 .1270 .1237 .1204 .1171 •"39 |
.74 896 799 703 606 509 412 |
30 25 20 15 IO 5 |
37 o 5 10 15 20 25 |
.60 182 298 414 529 645 761 |
•75 355 584 •75 812 .76 042 272 502 |
1.3270 •3230 .3190 •3151 .3111 .3072 |
.79 864 776 688 600 512 424 |
53 o 55 So 45 40 35 |
42 o 5 10 15 20 25 |
.66 913 .67 021 129 237 344 452 |
.90 040 304 569 .90 834 .91 099 366 |
1.1106 .1074 .1041 .1009 .0977 •0945 |
•74 314 217 1 20 .74 022 •73 924 826 |
48 o 55 50 45 40 35 |
30 35 40 45 50 55 |
876 .60 991 .61 107 222 337 451 |
•76 733 .76964 •77 I96 428 661 •77 895 |
1.3032 •2993 •2954 •2915 .2876 .2838 |
•79 335 247 Xf .79 069 .78 980 891 |
30 25 20 15 10 5 |
3° 35 40 45 50 55 |
•67 559 666 773 880 .67 987 .68093 |
•91 633 .91 901 .92 170 439 709 .92 980 |
1.0913 .0881 .0850 .0818 .0786 •0755 |
.73 728 629 53i 432 333 234 |
30 ?5 20 IS 10 5 |
38 o 5 10 IS 20 25 |
.61 566 68 1 795 .61 909 .62 024 138 |
.78 129 363 598 •78 834 .79 070 306 |
1.2799 .2761 •2723 •2685 .2647 .2609 |
.78 801 711 622 532 442 35i |
52 o 55 So 45 40 35 |
43 o 5 10 15 20 25 |
.68 200 306 412 5i8 624 730 |
•93 252 524 •93 797 •94 071 345 620 |
1.0724 .0692 .0661 .0630 •0599 •0569 |
•73 135 •73 036 .72 937 837 737 637 |
47 o 55 So 45 40 35 |
30 35 40 45 50 55 |
.62 251 365 479 592 706 819 |
•79 544 •79 78i .80 020 258 498 738 |
1.2572 •2534 .2497 .2460 .2423 .2386 |
.78 261 170 .78 079 •77 988 897 806 |
30 25 20 15 10 5 |
30 35 40 45 5o 55 |
.68 835 .68 941 .69 046 I5i 256 361 |
.94 896 •95 173 451 •95 729 .96008 288 |
1.0538 .0507 .0477 .0446 .0416 •0385 |
•72 537 437 337 236 136 •72 035 |
30 25 20 15 10 5 |
39 o 5 10 15 20 25 |
.62 932 •63 045 158 271 383 496 |
.80 978 .81 220 46l 703 .81 946 .82 igO |
1.2349 .2312 .2276 •2239 .2203 .2167 |
•77 715 623 531 439 347 255 |
51 o 55 So 45 40 35 |
44 o 5 10 15 20 25 |
.69 466 570 675 779 883 .69 987 |
.96 569 .96 850 •97 133 416 700 •97 984 |
1-0355 •0325 .0295 .0265 •0235 .0206 |
•7i 934 833 732 630 529 427 |
46 o 55 5o 45 40 35 |
30 35 40 45 50 55 |
.63 608 720 832 .63 944 .64 056 167 |
.82 434 678 .82 923 .83 169 415 662 |
1.2131 •2095 .2059 .2024 .1988 •1953 |
.77 162 .77 070 .76 977 884 791 698 |
30 25 20 15 10 5 |
30 35 40 45 So 55 |
.70 091 195 298 401 505 608 |
.98 270 556 •98 843 •99 131 420 •99 7io |
1.0176 .0147 .0117 .0088 .0058 .0029 |
•71 325 223 121 .71 019 .70 916 813 |
30 25 20 IS 10 5 |
40 o |
.64 279 |
.83 910 |
1.1918 |
.76 604 |
50 o |
45 o |
.70 711 |
1. 00 000 |
1. 0000 |
.707" |
45 o |
N.Cos. |
N. Cot |
N. Tan. |
N. Sin. |
o / |
N. Cos. |
N. Cot. |
N. Tan. |
N. Sin. |
o / |
74 TABLE VI. — CIRCULAR ARCS EXPRESSED IN RADIANS.
DEGREES. |
MINUTES. |
SI < OM>S. |
|||||||
o° I 2 3 4 I 7 8 9 10 ii 12 13 14 15 16 17 18 19 20 21 22 33 24 25 26 27 28 29 30 3i 32 33 34 35 36 37 38 39 40 4i 42 43 44 45 46 47 48 49 50 Si 52 53 54 3 57 58 59 <i(> |
o.ooooo oo |
60° 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 9i 92 93 94 95 96 97 98 99 10O 101 IO2 103 104 IOI 106 107 108 109 110 in 112 "3 "4 "5 116 H7 118 119 120 |
1.04719 76 |
120° 121 122 123 I24 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 I4I 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 I76 177 178 179 1HO |
2.09439 51 |
O' I 2 3 4 5 6 7 8 9 10 ii 12 13 14 IS 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 3i 32 33 34 11 37 38 39 40 4i 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 00 |
0.00000 00 |
O" I 2 3 4 6 7 8 9 10 ii 12 13 14 15 16 17 18 19 20 21 22 23 24 3 27 28 29 30 3i 32 33 34 35 36 37 38 39 40 4i 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 (10 |
o.ooooo oo |
0.01745 33 0.03490 66 0.05235 99 0.06981 32 0.08726 65 0.10471 98 0.12217 3° 0.13962 63 0.15707 96 |
1.06465 08 1.08210 41 i -°9955 74 1.11701 07 1.13446 40 1.15191 73 1.16937 06 1.18682 39 1.20427 72 |
2.11184 84 2.12930 17 2.14675 50 2.16420 83 2.18166 16 2.19911 49 2.21656 82 2.23402 14 2.25147 47 |
0.00029 °9 0.00058 I 8 0.00087 27 0.00116 36 0.00145 44 0.00174 53 0.00203 62 0.00232 71 0.00261 80 |
o.ooooo 48 o.ooooo 97 o.ooooi 45 o.ooooi 94 O.OOOO2 42 0.00002 91 0.00003 39 0.00003 88 0.00004 36 |
|||||
0.17453 29 |
1.22173 °5 |
2.26892 80 |
0.00290 89 |
0.00004 85 |
|||||
0.19198 62 0.20943 95 0.22689 28 0.24434 61 0.26179 94 0.27925 27 0.29670 60 0.31415 93 0.33161 26 |
1.23918 38 1.25663 71 1.27409 04 1.29154 36 1.30899 69 1.32645 02 1-3439° 35 1.36135 68 1.37881 01 |
2.28638 13 2.30383 46 2.32128 79 2.33874 12 2.35619 45 2.37364 78 2.39110 ii 2.40855 44 2.42600 77 |
0.00319 98 0.00349 07 0.00378 15 0.00407 24 0.00436 33 0.00465 42 0.00494 51 0.00523 60 0.00552 69 |
0.00005 33 0.00005 82 0.00006 30 0.00006 79 0.00007 27 0.00007 76 0.00008 24 0.00008 73 0.00009 2I |
|||||
0.34906 59 |
1.39626 34 |
2.44346 10 |
0.00581 78 |
0.00009 7° |
|||||
0.36651 91 0.38397 24 0.40142 57 0.41887 90 0.43633 23 0.45378 56 0.47123 89 0.48869 22 0.50614 55 |
1.41371 67 1.43117 oo 1.44862 33 1.46607 66 1.48352 99 1.50098 32 1.51843 64 1-53588 97 1-55334 30 |
2.46091 42 2.47836 75 2.49582 08 2.51327 41 2.53072 74 2.54818 07 2.56563 40 2-58308 73 2.60054 06 |
0.00610 87 0.00639 95 0.00669 °4 0.00698 13 0.00727 22 0.00756 31 0.00785 40 0.00814 49 0.00843 S8 |
o.oooio 18 o.oooio 67 o.oooii 15 o.ooon 64 0.00012 12 O.OOOI2 6l 0.00013 09 0.00013 57 0.00014 06 |
|||||
0.52359 88 |
1.57079 63 |
2.61799 39 |
0.00872 66 |
0.00014 54 |
|||||
0.54105 21 0.55850 54 0-57595 87 0.59341 19 0.61086 52 0.62831 85 0.64577 1 8 0.66322 51 0.68067 84 |
1.58824 96 1.60570 29 1.62315 62 1.64060 95 1.65806 28 1.67551 61 1.69296 94 1.71042 27 1.72787 60 |
2.63544 72 2.65290 05 2.67035 38 2.68780 70 2.70526 03 2.72271 36 2.74016 69 2.75762 02 2.77507 35 |
0.00901 75 0.00930 84 0.00959 93 0.00989 02 0.01018 ii 0.01047 20 0.01076 29 O.OII05 38 O.OII34 46 |
0.00015 °3 0.00015 5i 0.00016 oo 0.00016 48 0.00016 97 0.00017 45 0.00017 94 0.00018 42 0.00018 91 |
|||||
0.69813 17 |
1.74532 93 |
2.79252 68 |
0.01163 55 |
0.00019 39 |
|||||
0.71558 50 0.73303 83 0.75049 16 0.76794 49 0.78539 82 0.80285 15 0.82030 47 0.83775 80 0.85521 13 |
1.76278 25 1.78023 58 1.79768 91 1.81514 24 1-83259 57 1.85004 90 1.86750 23 1.88495 56 1.90240 89 |
2.80998 01 2.82743 34 2.84488 67 2.86234 oo 2.87979 33 2.89724 66 2.91469 99 2.93215 31 2.94960 64 |
0.01192 64 0.01221 73 0.01250 82 0.01279 91 0.01309 oo 0.01338 09 0.01367 17 0.01396 26 0.01425 35 |
0.00019 88 0.00020 36 0.00020 85 0.00021 33 0.00021 82 0.00022 30 0.00022 79 0.00023 27 0.00023 76 |
|||||
0.87266 46 |
1.91986 22 |
2.96705 97 |
0.01454 44 |
0.00024 24 |
|||||
0.89011 79 0.90757 12 0.92502 45 0.94247 78 0-95993 « 0.97738 44 0.99483 77 1.01229 I0 1.02974 43 |
I-9373I 55 1.95476 88 1.97222 21 1.98967 53 2.00712 86 2.02458 19 2.04203 52 2.05948 85 2.07694 1 8 |
2.98451 30 3.00196 63 3.01941 96 3.03687 29 3.05432 62 3.07177 95 3.08923 28 3.10668 61 3.12413 94 |
0.01483 53 0.01512 62 0.01541 71 0.01570 80 0.01599 89 0.01628 97 0.01658 06 0.01687 15 0.01716 24 |
0.00024 73 0.00025 21 0.00025 70 0.00026 1 8 0.00026 66 0.00027 15 0.00027 63 0.00028 12 0.00028 60 |
|||||
1.04719 76 |
2.09431) M |
3.14159 27 |
3.01745 ; |
0.00029 09 |
TABLE VII. NAPIERIAN LOGARITHMS OF NUMBERS.
75
N. |
Log. |
N. |
Log. |
N. |
Log. |
N. |
Log. |
N. |
Log. |
i 2 3 4 5 |
0.00000 0.69315 1.09861 1.38629 1.60944 |
21 22 23 24 25 |
3-04452 3.09104 3-13549 3-17805 3.21888 |
4i 42 43 44 45 |
3-7I357 3.73767 3.76120 3-78419 3.80666 |
61. 62 63- 64 65 |
4.11087 4.12713 4-14313 4.15888 4-17439 |
81 82 83 84 85 |
4-39445 4.40672 4.41884 4-43082 4-44265 |
6 7 8 9 10 |
1.79176 1.94591 2.07944 2.19722 2.30259 |
26 27 28 29 30 |
3.25810 3-29584 3.33220 3-36730 3.40120 |
46 47 48 49 50 |
3.82864 3-85015 3.87120 3.89182 3.91202 |
66 67 68 69 70 |
4-18965 4.20469 4.21951 4.23411 4.24850 |
86 87 88 89 90 |
4-45435 4.46591 4-47734 4.48864 4.49981 |
ii 12 13 14 15 |
2.39790 2.48491 2.56495 2.63906 2.70805 |
31 32 33 34 35 |
3-43399 346574 3-49651 3-52636 3-55535 |
5i 52 53 54 55 |
3-93183 3-95124 3.97029 3.98898 4-00733 |
71 72 73 74 75 |
4.26268 4.27667 4.29046 4.30407 4.31749 |
91 92 93 94 95 |
4.51086 4-52I79 4-53260 4.54329 4.55388 |
16 17 18 19 20 |
2.77259 2.83321 2.89037 2.94444 2.99573 |
36 37 38 39 40 |
3-58352 3.61092 3-63759 3-66356 3.68888 |
56 57 58 59 60 |
4-02535 4.04305 4.06044 4-07754 4-09434 |
76 77 78 79 80 |
4.33073 4.3438i 4-35671 4-36945 4-38203 |
96 97 98 99 IOO |
4-56435 4.57471 4.58497 4-59512 4.60517 |
N. |
0 |
1 |
2 |
3 | 4 |
5 |
6 |
7 |
8 |
9 |
|
10 ii 12 13 14 |
4-6 0517 4.7 0048 8749 4-8 6753 4-9 4164 |
1512 °953 9579 7520 4876 |
2497 1850 #0402 8280 5583 |
3473 2739 #1218 9035 6284 |
4439 3620 #2028 9784 6981 |
5396 4493 #2831 #0527 7673 |
6344 5359 #3628 #1265 8361 |
7283 6217 #4419 #1998 9043 |
8213 7068 *52Q3 #2725 972i |
9i35 7912 *S98i *3447 *Q395 |
IS 16 17 18 19 |
5.0 1064 7517 5-1 358o 9296 5.2 4702 |
1728 8140 4166 9850 5227 |
2388 8760 4749 #0401 575"o |
3044 9375 5329 #0949 6269 |
3695 9987 5906 #1494 6786 |
4343 *0595 6479 #2036 7300 |
4986 #1199 7048 *2575 7811 |
5625 #1799 7615 #3111 8320 |
6260 #2396 8178 #3644 8827 |
6890 #2990 8739 *4i75 9330 |
20 21 22 23 24 |
5-3 9832 5-347II 9363 5.4 3808 8064 |
*033Q 5186 9816 4242 8480 |
#0827 5659 *0268 4674 8894 |
.Wi32i 6129 #0717 5104 9306 |
#1812 *6S2? *n65 5532 9717 |
#2301 7064 *i6io 5959 *OI26 |
#2788 7528 *2Q53 6383 ^533 |
#3272 7990 *2495 6806 #0939 |
*37S4 8450 *2935 7227 *i343 |
#4233 8907 *3372 7646 *I745 |
25 26 27 28 29 |
5-5 2146 6068 9842 5-6 3479 6988 |
2545 6452 #0212 3835 7332 |
2943 6834 #0580 4191 7675 |
3339 7215 *0947 4545 8017 |
3733 7595 *I3I3 4897 8358 |
4126 7973 *i677 5249 8698 |
45i8 8350 #2040 5599 9036 |
4908 .8725 #2402 5948 9373 |
5296 9099 #2762 6296 9709 |
5683 947i #3121 6643 #0044 |
3° 3i 32 33 34 |
5-7 0378 3657 6832 9909 5.8 2895 |
0711 3979 7144 #0212 3188 |
1043 4300 .,7455 ••"0513 348i |
1373 4620 7765 #0814 3773 |
1703 4939 8074 *ni4 4064 |
2031 5257 8383 *I4I3 4354 |
2359 5574 8690 #1711 4644 |
2685 5890 8996 #2008 4932 |
3010 6205 9301 *2305 5220 |
3334 6519 9606 %6oo 5507 |
9 37 38 39 |
5-8 5793 8610 5-9 1350 4017 66!5 |
6079 8888 1620 4280 6871 |
6363 9164 1889 4542 7126 |
6647 944° 2158 4803 738i |
6930 9715 2426 5064 7635 |
7212 9990 2693 5324 7889 |
7493 #0263 2959 5584 8141 |
7774 *o536 3225 5842 8394 |
8053 *o8o8 3489 6101 8645 |
8332 *io8o 3754 6358 8896 |
40 |
5-9 9146 |
9396 |
9645 |
9894 |
*oi4i |
#0389 |
*o635 |
#0881 |
*II27 |
*I372 |
N. |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
76
N. |
O |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
40 4i 42 43 44 |
5-9 9146 6.0 1616 4025 6379 8677 |
9396 1859 4263 6611 8904 |
9645 2102 4501 6843 9131 |
9894 2345 4737 7074 9357 |
*oi4i 2587 4973 73°4 9582 |
*o389 2828 5209 7535 9807 |
*o635 3069 5444 7764 #0032 |
*o88i 33°9 5678 7993 *oas6 |
*II27 3548 5912 8222 •0479 |
*I372 3787 6146 8450 *0702 |
45 46 47 48 49 |
6.1 0925 3"3 5273 7379 9441 |
1147 3340 5486 7587 9644 |
1368 3556 5698 7794 9848 |
1589 3773 59io 8002 $0051 |
1810 3988 6121 8208 *02S4 |
2030 4204 6331 8415 •0456 |
2249 4419 6542 8621 *o658 |
2468 4633 6752 8826 *o859 |
2687 4847 6961 9032 *io6o |
2905 5060 7170 9236 *I26l |
50 51 52 53 54 |
6.2 1461 3441 5383 7288 9157 |
1661 3637 5575 7476 9342 |
1860 3832 5767 7664 9527 |
2059 4028 5958 7852 9711 |
2258 4222 6149 8040 9895 |
2456 4417 6340 8227 *oo79 |
2654 4611 6530 8413 *0262 |
2851 4804 6720 8600 *°445 |
3048 4998 6910 8786 *o628 |
3245 5190 7099 8972 *o8io |
55 56 57 58 59 |
6.3 0992 2794 4564 6303 8012 |
"73 2972 4739 6475 8182 |
1355 3150 4914 6647 8351 |
1536 3328 5089 6819 8519 |
1716 35°5 5263 6990 8688 |
1897 3683 5437 7161 8856 |
2077 3859 5611 7332 9024 |
2257 4036 5784 7502 9192 |
2436 4212 5957 7673 9359 |
2615 4388 6130 7843 9526 |
60 61 62 63 64 |
6.3 9693 6.4 1346 2972 4572 6i47 |
9859 1510 3133 4731 6303 |
#0026 1673 3294 4889 6459 |
*oi92 1836 3455 5047 6614 |
*03S7 1999 36i5 5205 6770 |
#0523 2162 3775 5362 6925 |
*o688 2325 3935 5520 7080 |
*o853 2487 4095 5677 7235 |
*IOI7 2649 4254 5834 7389 |
*Il82 2811 4413 5990 7543 |
65 66 67 68 69 |
6.4 7697 9224 6.5 0728 2209 3669 |
7851 9375 0877 2356 3814 |
8004 9527 1026 2503 3959 |
8158 9677 U75 2649 4io3 |
8311 9828 1323 2796 4247 |
8464 9979 1471 2942 4391 |
8616 *OI29 1619 3088 4535 |
8768 #0279, 1767 3233 4679 |
8920 *0429 1915 3379 4822 |
9072 *0578 2062 3524 4965 |
70 71 72 73 74 |
6.5 5108 6526 7925 93°4 6.6 0665 |
5251 6667 8064 9441 0800 |
5393 6808 8203 9578 0935 |
5536 6948 8341 9715 1070 |
5678 7088 8479 9851 1204 |
5820 7228 8617 9987 1338 |
5962 7368 8755 *OI23 1473 |
6103 7508 8893 *02S9 1607 |
6244 7647 9030 *°394 1740 |
6386 7786 9167 *0530 1874 |
75 76 77 78 79 |
6.6 2007 3332 4639 5929 7203 |
2141 3463 4769 6058 733° |
2274 3595 4898 6185 7456 |
2407 3726 5028 6313 7582 |
2539 3857 5157 6441 7708 |
2672 3988 5286 6568 7834 |
2804 4118 5415 6696 7960 |
2936 4249 5544 6823 8085 |
3068 4379 5673 6950 8211 |
3200 4509 5801 7077 8336 |
80 81 82 83 84 |
6.6 8461 9703 6.7 0930 2143 3340 |
8586 9827 1052 2263 3459 |
8711 9950 1174 2383 3578 |
8835 *oo73 1296 2503 3697 |
8960 *oi96 1417 2623 3815 |
9084 %3i9 1538 2743 3934 |
9208 *044i 1659 2863 4052 |
9332 *os64 1780 2982 4170 |
9456 *o686 1901 3102 4288 |
9580 *o8o8 2O22 3221 4406 |
85 86 87 88 89 |
6.7 4524 5693 6849 7992 9122 |
4641 5809 6964 8106 9234 |
4759 5926 7079 8219 9347 |
4876 6041 7194 8333 9459 |
4993 6i57 7308 8446 9571 |
5110 6273 7422 8559 9682 |
5227 6388 7537 8672 9794 |
5344 6504 7651 8784 9906 |
5460 6619 7765 8897 *ooi7 |
5577 6734 7878 9010 •;;:'012S |
90 91 92 93 94 |
6.8 0239 1344 2437 35i8 4588 |
0351 1454 2546 3626 4694 |
0461 1564 2655 3733 4801 |
0572 1674 2763 3841 4907 |
0683 1783 2871 3948 5013 |
0793 1892 2979 4055 5118 |
0904 2OO2 3087 4l62 5224 |
1014 2III 3195 4268 533° |
1124 2220 3303 4375 5435 |
123? 2329 34" 4482 5541 |
$ H 99 |
6.8 5646 6693 773° 8755 9770 |
5751 6797 7833 8857 9871 |
5857 6901 7936 8959 9972 |
596i 7005 8038 9061 *0073 |
6066 7109 8141 9163 •0174 |
6171 7213 8244 9264 *0274 |
6276 7316 8346 9366 *0375 |
6380 7420 8449 9467 *0475 |
6485 7523 8551 9568 *0575 |
6589 7626 8653 £» *o67S |
100 |
6.9 0776 |
0875 |
0975 |
1075 |
"75 |
1274 |
1374 |
1473 |
1572 |
1672 |
N. |
O |
1 |
2 |
3 |
4 |
5 |
0 |
7 |
8 |
9 |
UNIVERSITY OF CALIFORNIA LIBRARY BERKELEY
Return to desk from which borrowed. This book is DUE on the last date stamped below.
ASTFIDNOMY LIB
111AJ .->
&& 1 5 1971
ARY
LD 21-100m-ll,'49(B7146sl6)476
YC 1 02260
MATH*.
STAT«
UBftARY