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Full text of "Natural Trigonometric Functions"

TIGHT BINDING BOOK 



ro 



<OU_1 64496 >ES 

=5 CO 



OSMANIA UNIVERSITY LIBRARY 

Call No. S% . f/f <?CA/ Accession No/4 6 



Authoc 
Tlde 



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This book should be returned on or before the tfate last marked bdow. 



NATURAL TRIGONOMETRIC FUNCTIONS 



WORKS OF 
HOWARD CHAPIN IVES, C.E. 

PUBLISHED BY 

JOHN WILEY & SONS, Inc. 

Natural Trigonometric Functions. 

To seven decimal places for every ten seconds of 
arc, together with many special tables. 329 pages 
f>2 by 92 Cloth 

Highway Curves. 

Full text and comprehensive tables 402 pag ^ 
4 by GJ 50 figures Flexible binding. 

Surveying Manual. 

Designed for the Use of First-vear Students 
in Surveying and Especially for the L'se of Non- 
Civil Engineering Students Second edition 
29f> pages 1 by 64 ">."> figures Flexible bind- 
in*? 

Seven Place Natural Trigonometrical Functions. 

Together with m.im miscellaneous tables and 
appendices on the adjustment ot the engineer's 
transit and level, area computation, \ertic, d 
curves, simple curves, and determination of 
latitude, longitude and azimuth 222 pane-- 
4 by (\i Flexible binding 

The Adjustments of the Engineer's Transit and Level. 

Second Edition 1"> pages 4J by f\] 11 
figures Boards 

m W. IT. SEARLES AND II. C. IVES 

Field Engineering. 

A Handbook of the Theory and Practice of Rail- 
way Surveying, Location, and Construe tion, 
designed for Classroom, Field, and Olhce I se, 
and containing a large number of Kseful Tables, 
< >riginal and Selected B\ the late \V 11 Krjuhs 
Twentieth Edition, Revised and Cnlaiged b\ 
Howard ("hapin I\es, C 10 

Vol. I. Text. 342 pages. 4 by 6^ l^i figure- 

Flexible binding 
Vol. II. Tables. 3S6 pages 4 by (>] FloMblo 

binding 
Complete. Text and Tables. Flexible binding 

Mathematical Tables. 

Heprmted from Searlrs and I\es' " Fn Id I n^i- 
ncering," with Ad<htuns, Compiled and Arranged 
by Howard Chapin Ives 1^0 pages t bv t>^ 
Flexible binding 



NATURAL TRIGONOMETRIC FUNCTIONS 

TO 

SEVEN DECIMAL PLACES 

FOR 

EVERY TEN SECONDS OF ARC 

TOGETHER WITH 

MISCELLANEOUS TABLES 



BY 

HOWARD CHAP1N IVES, C.E. 

CONSULTING ENOINLEh 



NEW YORK 

JOHN WILEY & SONS, INC. 

LONDON: CHAPMAN & HALL, LIMITED 
1931 



COPYRIGHT, 1931, 
BY HOWARD CHAPIN IVES 



All Rights Reserved 

This book or any part thereof must not 
be reproduced ^n any form wxthout 
the written permission of the publisher* 



Printed in U. S. A. 

Printing Composition and Plates Binding 

. H. GFLSON co. TECHNICAL COMPOSITION co. STANHOPE BINDERY 

BOSTON CAMBRIDGE BOSTON 



PREFACE 



This book is divided into two parts: The first gives 270 pages of the seven 
place natural sines, cosines, tangents and cotangents to ten seconds together 
with proportional parts to seconds. The second part consists of a variety of 
miscellaneous tables, information and examples especially adapted to subdi- 
vision work. The result is that a large amount of material previously scattered 
or not available is made accessible. 

Much thought was spent on selection and arrangement of the material. 
Several specimen pages were set up before a final selection was made. 

In the case of cotangents which change rapidly, the differences in some 
cases appear to change irregularly. This is due to the fact that all quantities 
are given to the nearest place and were checked by fifteen place tables. 

The original manuscript was twice checked. The pages when set in type 
were proof read four times and by three different persons. It is confidently 
believed that the book is unusually accurate. 

Thanks are due: Mr. Herbert E. Hayes, C. E. who checked the entire 
manuscript and who also gave valuable suggestions and advice; Mr. Alfred B. 
Osborne, C. E. Industrial Engineer for Larkin Co., Inc., Buffalo, N. Y., who 
read the entire proof besides giving expert advice; and to the publishers, com- 
positors, printers and binders who have spared no thought, time or expense in 
the endeavor. 

H. C. I. 



CONTENTS 



PART I 

PAGES 

TABLE 1. SINES, COSINES, TANGENTS AND COTANGENTS 1-270 



PART II 
MISCELLANEOUS TABLES 

TABLE 2. LENGTH OF ARC TO RADIUS UNITY 273 

TABLE 3. COEFFICIENT K FOR CENTRAL ANGLES OF CERTAIN CURVES 291 

TABLE 4. RADII FROM ARC DEFINITION 292 

TABLE 5. RADII FROM CHORD DEFINITION 295 

TABLE 6. CURVES WITH EVEN FOOT RADII 300 

TABLE 7. FUNCTIONS OF A 1 CURVE 302 

TABLE 8. CORRECTIONS TO TANGENT DISTANCES 308 

TABLE 9. CORRECTIONS TO EXTERNAL DISTANCES 308 

TABLE 10. TRIGONOMETRIC FUNCTIONS, FORMULAS AND SOLUTION OF TRIANGLES 309 

TABLE 11. MINUTES IN DECIMALS OF A DEGREE 318 

TABLE 12. UNITS OF LENGTH AND OF SURFACE 319 

DEFINITIONS AND THEORY 320 

USE OF TABLES 326 



SINES, COSINES, TANGENTS AND COTANGENTS 
00' 



' 





Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 








0.0000000 




1.0000000 




0.0000000 




Infinite 







60 








10 


0485 


485 


0000 




0485 


485 


20 626.481 


Infinite 


50 










20 


0970 


485 


0000 




0970 


485 


313.240 


10 313.241 


40 










30 
40 


1454 
1939 


484 
485 


0000 
0000 




1454 
1939 


484 
485 


6 875.4935 
5 156.6201 


3 437.7465 
1 718 8734 


30 
20 










50 


2424 


485 


0000 




2424 


485 


4 125.2960 


1 031 3241 


10 














486 








485 




6875498 










1 





0.0002909 




1.0000000 




0.0002909 




3 437.7467 







59 








10 


3394 


485 


0.9999999 




3394 


485 


2946.6400 


491.1067 


50 










20 


3879 


485 


9999 




3879 


485 


2 578.3099 


3683301 


40 










30 


4363 


484 


9999 




4363 


484 


2291.8310 


286.4789 


30 










40 


4848 


485 


9999 




4848 


485 


2 062.6479 


229 1831 


20 










50 


5333 


485 


0009 




5333 


485 


1 875.1344 


187.5135 


10 














485 








485 




156 2612 










2 





0.000 5818 




0.9999998 




0.000 6818 




1 718.8732 







58 








10 


6303 


485 


9998 




6303 


485 


1 586.6521 


132 2211 


50 










20 


6787 


484 


9998 




6787 


484 


1 473.3198 


113.3323 


40 










30 


7272 


485 


9997 




7272 


485 


1 375.0985 


982213 


30 










40 


7757 


485 


9997 




7757 


485 


1 289.1548 


859437 


20 










50 


8242 


485 


9997 




8242 


485 


1 213.3221 


758327 


10 




Sine 








485 








485 




674068 










3 





0.000 8727 




0.999 999v 




0.000 8727 




1 145.9153 







57 




484 




10 


9211 


484 


9996 




9211 


484 


I 085.6039 


60.3114 


50 




i 


48 4 




20 


9696 


485 


9995 




9696 


485 


1031.3237 


542802 


40 




2 
3 


96 8 
145 2 




30 


0.001 0181 


485 


9995 




0.001 0181 


485 


982.2 1302 


491 1068 


30 




4 


193 6 




40 


0666 


485 


9994 




0666 


485 


937.5 6695 


446 4607 


20 




5 


242 




50 


1151 


485 
485 


9994 




1151 


485 
485 


896.8 0313 


40.76382 
3736683 


10 




6 

7 


290 4 
338 8 


4 





0.001 1636 




0.999 9993 




0.001 1636 




859.4 3630 







56 


8 
9 


387 2 
435 6 




10 


2120 


484 


9993 




2120 


484 


825.0 5882 


3437748 


50 










20 


2605 


485 


9992 




2605 


485 


793.3 2576 


31 7 3306 


40 






485 




30 


3090 


485 


9991 




3090 


485 


763.94329 


29 3 8247 


30 




1 


48 5 




40 


3575 


485 


9991 




3575 


485 


736.6 5957 


27 2 8372 


20 




2 


97 




50 


4060 


485 
484 


9990 




4060 


485 
484 


711.25?48 


25 4 0209 
2370861 


10 




3 
4 


145 5 
194 


5 



10 


0.001 4544 
5029 


485 


0.999 9989 
9989 




0.001 4544 
5029 


485 


687.6 4887 
665.3 6984 


2217903 



50 


55 


5 
6 

7 


242 5 
291 
339 5 




20 


5514 


485 


9988 




5514 


485 


64457700 


2079284 


40 




8 


388 




30 


5999 


485 


9987 




5999 


485 


625.04433 


19 5 3267 


30 




9 


436 5 




40 


6484 


485 


9986 




6484 


485 


606,6 6065 


1838368 


20 










50 


6968 


484 


9986 




6968 


484 


589.3 2745 


17 3 3320 


10 














485 








485 




16 3 7024 






Cosine 


6 



10 
20 


0.001 7453 
7938 
8423 


485 

485 


0.999 9985 
9984 
9983 




0.001 7463 
7938 
8423 


485 
485 


672 9 5721 
557.4 7185 
542.8 0151 


15 4 8536 
14 6 7034 



50 
40 


54 


Differences are too 
small to tabulate 




30 


8908 


485 


9982 




8908 


485 


528.8 8349 


13.9 1802 


30 










40 
50 


9393 
9877 


485 
484 


9981 
9980 




9393 
9877 


485 
484 


515.6 6137 
503.08423 


13 2 2212 
12 5 7714 


20 
10 




Tangent 








485 




1 




485 




11.9 7823 






See coh 


imns above 


7 



10 


0.002 0362 
0847 


485 


0.999 9979 
9978 


1 


0.002 0362 
0847 


485 


491.1 0600 
479.6 8490 


. 11.42110 



50 


53 


for tine 




20 


1332 


485 


9977 


1 


1332 


485 


468.7 8294 


10 9 0196 


40 










30 
40 
50 


1817 
2301 
2786 


485 
484 

485 
485 


9976 
9975 
9974 


1 


1817 
2301 
2786 


485 
484 

485 
485 


458.3 6551 
448.4 0101 
438.8 6053 


10 4 1743 
996450 
954048 
914296 


30 
20 
10 




Cotangent 

Differences are too 
large to tabulate 


8 





0.002 3271 




0.999 9973 




0.002 3271 




429.7 1757 







52 








10 


3756 


485 


9972 




3756 


485 


420.9 4779 


8 7 6978 


50 










20 
30 


4241 
4725 


485 
484 


9971 
9969 




4241 
4726 


485 
485 


412.5 2880 
404.4 3997 


841899 
808883 


40 
30 










40 


5210 


485 


9968 




5210 


484 


396.6 6225 


7.7 7772 


20 










50 


5695 


485 
485 


9967 




5695 


485 
485 


389.1 7802 


748423 
7.2 0703 


10 








9 



10 


0.002 6180 
6665 


485 


0.999 9966 
9964 




0.002 6180 
6665 


485 


381.9 7099 
375.0 2603 


694496 



50 


51 








20 
30 


7150 
7634 


485 
484 


9963 
9962 




7150 
7634 


485 
484 


368.3 2911 
361.86716 


669692 
6.4 6195 


40 
30 










40 
50 


8119 
8604 


485 
485 
485 


9960 
9959 


2 
1 

1 


8119 
8604 


485 
485 
485 


355.6 2804 
349.6 0041 


62 3912 
602763 
5.8 2670 


20 
10 








10 





0.002 9089 




0.999 9958 




0.002 9089 




343.7 7371 







50 










Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff. 


" 


' 


Proportional Parts 



89 50' 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
010' 



' 




Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff. 






Proportional Parts 


10 





0.0029089 




0.999 9958 




0.0029089 




343.773 71 







50 








10 


9574 


485 


9956 


2 


9574 


485 


338.138 04 


5.63567 


50 










20 


0.003 0058 


48< 


9955 


1 


0.003 0059 


485 


332.684 17 


5.45387 


40 










30 


0543 


481 


9953 


2 


0543 


484 


327.403 44 


528073 


30 










40 


1028 


485 


9952 


1 


1028 


485 


322.287 73 


5.115 71 


20 










50 


1513 


485 


9950 


2 


1513 


485 


317.329 42 


495831 


10 














485 




1 




485 




480805 










11 





0.003 1998 




0.999 9949 




0.003 1998 




312.621 37 







49 








10 


2482 


484 


9947 


2 


2483 


485 


307.856 84 


4.66453 


50 










20 


2967 


485 


9946 


1 


2967 


484 


303.329 50 


4.527 34 


40 










30 


3452 


485 


9944 


2 


3452 


485 


298.933 39 


439611 


30 










40 


3937 


485 


9942 


2 


3937 


485 


294.662 88 


427051 


20 










50 


4422 


485 


9941 


1 


4422 


485 


290.512 66 


4.150 22 


10 














485 




2 




485 




4.034 93 










12 





0.0034907 




0.999 9939 




0.003 4907 




286.477 73 







48 








10 


5391 


484 


9937 


2 


5392 


485 


282.553 35 


392438 


50 










20 


5876 


485 


9936 


1 


5876 


484 


278.735 03 


3 818 32 


40 




Sine 




30 
40 
50 


6361 
6846 
7331 


485 
485 
485 


9934 
9932 
9930 


2 
2 
2 


6361 
6846 
7331 


485 
485 
485 


275.018 53 
271.39983 
267.875 13 


371650 
3.618 70 
352470 


30 
20 
10 




1 

2 


484 

48 4 
96 8 








484 




2 




485 




343433 






3 


145 2 


13 





0.003 7815 




0.9999928 




0.003 7816 




264.44080 







47 


4 


193 6 




10 


8300 


485 


9927 


1 


8300 


484 


261.09342 


334738 


50 




5 


242 




20 
30 
40 


8785 
9270 
9755 


485 
485 
485 


9925 
9923 
9921 


2 
2 
2 


8785 
9270 
9755 


485 
485 
485 


257.829 71 
254.646 60 
251.541 12 


326371 
318311 
310548 


40 
30 
20 




6 

8 
9 


290 4 
338 8 
387 2 
435 6 




50 


0.004 0239 


484 


9919 


2 


0.004 0240 


485 


248.510 47 


303065 


10 














485 




2 




485 




295849 








485 


14 



10 


0.004 0724 
1209 


485 


0.999 9917 
9915 


2 


0.004 0725 
1209 


484 


245.561 98 
242.663 10 


288888 



50 


46 


1 

2 


48 5 
97 




20 
30 
40 
50 


1694 
2179 
2663 
3148 


485 
485 
484 
485 


9913 
9911 
9909 
9907 


2 
2 
2 
2 


1694 
2179 
2664 
3149 


485 
485 

485 
485 


239.841 41 
237.084 58 
234.390 40 
231.75677 


282169 
275683 
269418 
263363 


40 
30 
20 
10 




3 
4 

5 
6 
7 


145 5 
194 
242 5 
291 
339 5 








485 




2 




485 




2.575 11 






8 


388 


15 





0.0043633 




0.999 9905 




0.0043634 




229.181 66 







45 


9 


436 5 




10 


4118 


485 


9903 


2 


4118 


484 


226.663 15 


2 518 51 


50 










20 


4603 


485 


9901 


2 


4603 


485 


224.19939 


246376 


40 










30 


5088 


485 


9898 


3 


5088 


485 


221.78861 


241078 


30 




Cosine 




40 
50 


5572 
6057 


484 
485 
485 


9896 
9894 


2 
2 
2 


5573 
6058 


485 
485 
484 


219.429 13 
217.11931 


2 359 48 
230982 
226169 


20 
10 




Differences are too 
small to tabulate 


16 





0.0046542 




0.999 9892 




0.004 6542 




214.857 62 




0^ 


44 








10 
20 


7027 
7512 


485 
485 


9889 
9887 


3 
2 


7027 
7512 


485 
485 


212.642 56 
210.472 71 


2.215 06 
2 169 85 


50 
40 




Tangent 




30 
40 


7996 
8481 


484 

485 


9885 
9882 


2 
3 


7997 
8482 


485 
485 


208.346 69 
206.263 19 


2 126 02 
2.08350 


30 
20 




See columns above 
for sine 




50 


8966 


485 


9880 


2 


8967 


485 


204.220 95 


204224 


10 














485 




2 




484 




2002 20 










17 



10 
20 
30 


0.004 9461 
9936 
0.005 0420 
0905 


486 
484 

485 


0.999 9878 
9875 
9873 
9870 


3 
2 
3 


0.004 9451 
9936 
0.005 0421 
0906 


485 
485 
485 


202.218 75 
200.255 43 
198.329 86 
196.440 98 


196332 
192557 
1.88888 



50 
40 
30 


43 


Cotangent 

Difference* are too 
large to tabulate 




40 


1390 


485 


9868 


2 


1391 


485 


194.587 73 


185325 


20 










50 


1875 


185 


9865 


3 


1876 


485 


192.769 12 


1.818 61 


10 














485 




2 




484 




1.78493 










18 





0.0052360 




0.9999863 




0.005 2360 




190.984 19 







42 








10 


2844 


L84 


9860 


3 


2845 


485 


189.232 01 


1.752 18 


50 










20 


3329 


485 


9858 


2 


3330 


485 


187.511 68 


1.72033 


40 










30 


3814 


485 


9855 


3 


3815 


485 


185.822 36 


1.689 32 


30 










40 


4299 


485 


9853 


2 


4300 


485 


184.163 20 


165916 


20 










50 


4784 


185 


9850 


3 


4784 


484 


182.533 40 


1.62980 


10 














484 




3 




485 




1.601 20 










19 





0.005 5268 




0.9999847 




0.005 5269 




180.932 20 







41 








10 


5753 


485 


9845 


2 


5754 


485 


179.358 84 


157336 


50 










20 


6238 


185 


9842 


3 


6239 


485 


177.812 61 


154623 


40 










30 


6723 


185 


9839 


3 


6724 


485 


176.292 82 


1.519 79 


30 










40 


7208 


185 


9836 


3 


7209 


485 


174.798 78 


1.49404 


20 










50 


7693 


485 


9834 


2 


7693 


484 


173.329 85 


146893 


10 














484 




3 




485 




1.44445 










20 





0.005 8177 




0.9999831 




0.005 8178 




171.885 40 







40 










Cosine 


Diff. 


Sine 


Diff. 


Cotangent 


Diff. 


Tangent 


Diff. 


" 


' 


Proportional Parts 



89 40' 



SINES, COSINES, TANGENTS AND COTANGENTS 
020' 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff. 


Cotangent 


Diff 






Proportional Parts 


20 



10 
20 


0.005 8177 
8662 
9147 


485 
485 


0.9999831 
9828 
9825 




0.005 8178 
8663 
9148 


485 
485 


171.885 40 
170.464 83 
169.067 54 


142057 
139729 



50 
40 


40 






30 


9632 


485 


9822 




9633 


485 


167.692 98 


1374 56 


30 








40 


0.0060117 


485 


9819 




0.0060118 


485 


166.340 58 


135240 


20 








50 


0601 


484 


9816 




0602 


484 


165.009 82 


1 330 76 


10 












485 








485 




1.30963 








21 





0.0061086 


lAfk 


0.999 9813 




0.006 1087 




163.700 19 







39 






10 


1571 


wo 
Aim 


9810 




1572 


485 


162.411 18 


1.289 01 


50 








20 


2056 


wo 

JOT 


9807 




2057 


485 


161.14231 


1 26887 


40 








30 


2541 


wo 


9804 




2542 


485 


159.893 11 


1.249 20 


30 








40 
50 


3025 
3510 


485 

JOC 


9801 
9798 




3027 
3511 


485 
484 


158.663 13 
157.451 93 


122998 
1 211 20 


20 
10 












WO 








485 




1.192 85 








22 





0.006 3995 


1ft K 


0.999 9795 




0.006 3996 




156.259 08 







38 






10 


4480 


WO 

IOC 


9792 




4481 


485 


155.084 17 


1 174 91 


50 








20 
30 


4965 
5449 


*OO 

484 

JOE 


9789 
9786 




4966 
5451 


485 
485 


153.926 79 
152.786 56 


1 157 38 
1.140 23 


40 
30 








40 


5934 


WO 
UtK 


9783 




5936 


485 


151.663 10 


1 12346 


20 








50 


6419 


WO 

485 


9779 




6420 


484 


150.556 04 


1.107 06 


10 




















485 




1 091 02 








23 



10 
20 


0.0066904 
7389 
7873 


485 
484 

IRK 


0.999 9776 
9773 
9770 




0.006 6905 
7390 
7875 


485 
485 


149.465 02 
148.389 70 
147.329 74 


1 075 32 
105996 



50 
40 


37 


Sine 

484 485 

1 48 4 48 5 




30 
40 
50 


8358 
8843 
9328 


WO 

485 
485 
485 


9766 
9763 
9760 




8360 
8845 
9329 


485 
485 
484 

485 


146.284 82 
145.254 61 
144.238 81 


104492 
103021 
101580 
100169 


30 
20 
10 




2 96 8 97 
3 145 2 145 5 
4 193 6 194 
5 242 242 5 


24 



10 
20 


0.006 9813 
0.007 0297 
0782 


484 

485 
iftft 


0.999 9756 
9753 
9749 




0.006 9814 
0.007 0299 
0784 


485 
485 


143.237 12 
142.249 25 
141.27491 


098787 
974 34 



50 
40 


36 


6 290 4 291 
7 338 8 339 5 
8 387 2 388 
9 435 6 436 5 




30 


1267 


wo 


9746 




1269 


485 


140.313 82 


096109 


30 








40 
50 


1752 
2237 


485 
485 
484 


9743 
9739 




1754 
2238 


485 
484 

485 


139.365 72 
138.430 35 


0948 10 
935 37 
092290 


20 
10 




Cosine 


25 





0.007 2721 




0.999 9736 




0.007 2723 




137.507 45 







35 


Differences are too 
small to tabulate 




10 


3206 


485 


9732 




3208 


485 


136.596 77 


091068 


50 








20 
30 
40 
50 


3691 
4176 
4661 
5145 


485 
485 
485 
484 
485 


9728 
9725 
9721 
9718 




3693 
4178 
4663 
5148 


485 
485 
485 
485 
484 


135.698 07 
134.811 13 
133.935 70 
133.071.56 


898 70 
088694 
087543 
086414 
085305 


40 
30 
20 
10 




Tangent 

See columns above 
for sine 


26 





0.0076630 


IttC 


0.999 9714 




0.007 5632 




132.218 51 







34 






10 
20 


6115 
6600 


wo 
485 


9710 
9707 




6117 
6602 


485 
485 


131 376 32 
130.544 79 


842 19 
083153 


50 
40 




Cotangent 




30 
40 


7085 
7569 


485 
484 


9703 
9699 




7087 
7572 


485 
485 


129.723 72 
128.912 92 


821 07 
081080 


30 
20 




Difft. rencea are too 
large to tabulate 




50 


8054 


485 


9695 




8057 


485 


128.112 18 


080074 


10 












485 








484 




079084 








27 





0.007 8539 




0.999 9692 




0.007 8641 




127.321 34 







33 






10 


9024 


485 


9688 




9026 


485 


126 540 19 


781 15 


50 








20 


9509 


485 


9684 




9511 


485 


125.768 57 


0.771 62 


40 








30 


9993 


484 


9680 




9996 


485 


125.006 31 


076226 


30 








40 


0.008 0478 


485 


9676 




0.008 0481 


485 


124.253 22 


0.75309 


20 








50 


0963 


485 


9672 




0966 


485 


123.509 16 


0.74406 


10 












485 








484 




0.735 20 








28 





0.0081448 




0.999 9668 




0.008 1450 




122.773 96 







32 






10 


1933 


485 


9664 




1935 


485 


122.047 45 


72651 


50 








20 


2417 


484 


9660 




2420 


485 


121.32949 


0.717 96 


40 








30 


2902 


485 


9656 




2905 


485 


120.619 93 


70956 


30 








40 


3387 


485 


9652 




3390 


485 


119.918 62 


701 31 


20 








50 


3872 


485 


9648 




3875 


485 


119.225 42 


069320 


10 












485 








485 




068524 








29 





0.008 4357 




0.999 9644 




0.008 4360 




118.640 18 







31 






10 


4841 


484 


9640 




4844 


484 


117.862 78 


67740 


50 








20 


5326 


485 


9636 




5329 


485 


117.193 07 


0.669 71 


40 








30 
40 


5811 
6296 


486 
485 


9632 
9628 




5814 
6299 


485 
485 


116.530 93 
115.876 23 


0662 14 
065470 


30 
20 








50 


6781 


485 


9623 




6784 


485 


115.228 84 


64739 


10 












484 








485 




0640 19 








30 





0.008 7265 




0.999 9619 




0.008 7269 




114.688 65 







30 








Cosine 


Diff. 


Sine 


Diff. 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



89 30' 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
030' 



' 


" 


Sine 


Diff. 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff. 






Proportional Parts 


30 





0.008 7265 




0.999 9619 




0.008 7269 




114.588 65 







30 


Sine 




10 
20 
30 


7750 
8235 
8720 


485 
485 

485 


9615 
9611 
9606 


4 
4 

5 


7754 
8238 
8723 


485 
484 
485 


113.955 53 
113.32937 
112.71005 


633 12 
62616 
61932 


50 
40 
30 




< 
1 

2 


184 485 

48 4 48 5 
96 8 97 




40 


9205 


485 


9602 


4 


9208 


485 


112.09746 


612 59 


20 




3 1 


45 2 145 5 




50 


9689 


484 


9598 


4 


9693 


485 


111.49150 


60596 


10 




4 ] 


93 6 194 








485 




5 




485 




59945 






5 2 


42 242 5 


31 



10 


0.009 0174 
0659 


485 


0.999 9593 
9589 


4 


0.009 0178 
0663 


485 


110.892 05 
110.29901 


59304 



50 


29 


6 2 

7 a 
s a 


90 4 291 
38 8 339 5 
87 2 388 




20 


1144 


485 


9585 


4 


1147 


484 


109.712 28 


58673 


40 




9 -1 


35 6 436 5 




30 


1629 


485 


9580 


5 


1632 


485 


109.131 76 


580 52 


30 








40 
50 


2113 
2598 


484 
485 
485 


9576 
9571 


4 
5 
4 


2117 
2602 


485 
485 
485 


108.557 35 
107.98896 


574 41 
56839 
56248 


20 
10 




Cosine 

Differences are too 


32 





0.009 3083 




0.999 9567 




0.009 3087 




107.426 48 







28 


small to tabulate 




10 


3568 


485 


9562 


5 


3572 


485 


106 869 84 


55664 


50 








20 
30 
40 
50 


4052 
4537 
5022 
5507 


484 

485 
485 
485 


9558 
9553 
9549 
9544 


4 

5 
4 

5 


4057 
4541 
5026 
5511 


485 
484 
485 
485 


106.318 93 
105.77367 
105.233 98 
104.699 76 


55091 
54526 
53969 
53422 


40 
30 
20 
10 




Tangent 

See columns above 
for sine 








485 




5 




485 




528 82 








33 



10 
20 
30 


0.009 5992 
6476 
6961 
7446 


484 

485 
485 


0.999 9539 
9535 
9530 
9525 


4 

5 
5 


0.009 6996 
6481 
6966 
7451 


485 
485 
485 


104.170 94 
103.64744 
103.129 17 
102.61606 


52350 
51827 
51311 



50 
40 
30 


27 


Cotangent 

65 000 60 000 

1 6 500 6 000 
2 13 000 12 000 




40 
50 


7931 
8416 


485 
485 
484 


9520 
9516 


5 
4 
5 


7935 
8420 


484 

485 
485 


102.10803 
101.60500 


50803 
50303 
49810 


20 
10 




3 19 500 18 000 
4 26 000 24 000 
5 32 500 30 000 


34 



10 


0.0098900 
9385 


485 


0.999 9511 
9506 


5 


0.009 8905 
9390 


485 


101.10690 
100.613 67 


49323 



50 


26 


6 39 000 36 000 
7 45 500 42 000 
8 52 000 48 000 




20 


9870 


485 


9501 


5 


9875 


485 


100.125 22 


48845 


40 




9 58 500 54 000 




30 


0.010 0355 


485 


9496 


5 


010 0360 


485 


99 641 489 


483 731 


30 








40 


0840 


485 


9492 


4 


0845 


485 


99.162411 


479078 


20 




55 000 50 000 




50 


1324 


484 


9487 


5 


1330 


485 


98 687 917 


474 494 


10 




1 5 500 5 000 








485 




5 




484 




469 974 






2 11 000 10 000 


35 



10 
20 
30 


0.010 1809 
2294 
2779 
3263 


485 
485 
484 


0.999 9482 
9477 
9472 
9467 


5 
5 
5 


0.010 1814 
2299 
2784 
3269 


485 
485 
485 


98.217 943 
97 752 422 
97.291 294 
96 834 495 


465 521 
461128 
456799 



50 
40 
30 


25 


3 16 500 15 000 
4 22 000 20 000 
5 27 500 25 000 
6 33 000 30 000 
7 38 500 35 000 




40 
50 


3748 
4233 


485 
485 


9462 
9457 


5 
5 


3754 
4239 


485 
485 


96.381 965 
95 933 645 


452 530 
448320 


20 
10 




8 44 000 40 000 
9 49 500 45 000 








485 




5 




485 




444170 




% 




36 





0.010 4718 




0.999 9452 




0.010 4724 




95.489 475 







24 


500000 




10 


5203 


485 


9447 


5 


5208 


484 


95.049399 


440076 


50 




l 50 oof) n 




20 


5687 


484 


9441 


6 


5693 


485 


94 613 361 


436 038 


40 




2 


100 000 




30 
40 
50 


6172 
6657 
7142 


485 
485 
485 
485 


9436 
9431 
9426 


5 
5 
5 
5 


6178 
6663 
7148 


485 
485 
485 
485 


94.181 304 
93.753 175 
93 328 920 


432 057 
428129 
424255 
420433 


30 
20 
10 




3 
4 

5 
6 

7 


150 000 
200 000 
250 000 
300 000 
350 000 


37 



10 


0.010 7627 
8111 


484 


0.999 9421 
9416 


5 


0.010 7633 
8118 


485 


92.908 487 
92 491 825 


416662 



50 


23 


8 
9 


400000 
450 000 




20 


8596 


485 


9410 


6 


8603 


485 


92.078883 


412942 


40 








30 


9081 


485 


9405 


5 


9087 


484 


91.669611 


409272 


30 




400000 




40 


9566 


485 


9400 


5 


9572 


485 


91.263961 


405650 


20 




1 


40000 




50 


0.011 0050 


484 
485 


9394 


6 
5 


0.011 0057 


485 
485 


90 861 885 


402076 
398549 


10 




2 
3 


HO 000 
120 000 


38 



10 
20 


0.011 0535 
1020 
1505 


485 
485 


0.999 9389 
9384 
9378 


5 
6 


0.011 0542 
1027 
1512 


485 
485 


90.463 336 
90 068 267 
89.676 634 


395069 
391633 



50 
40 


22 


4 
5 
6 

7 


160 000 
200 000 
240 000 
280 000 




30 
40 


1990 
2474 


485 
484 


9373 
9367 


5 
6 


1997 
2482 


485 
485 


89 288 391 
88.903 495 


388243 
384896 


30 
20 




8 
9 


320 000 
360 000 




50 


2959 


485 


9362 


5 


2966 


484 


88.521 902 


381593 


10 












485 




5 




485 




378 330 






300000 


39 





0.011 3444 




0.999 9357 




0.011 3451 




88.143 572 







21 


1 


30000 




10 
20 
30 
40 


3929 
4414 
4898 
5383 


485 
485 
484 

485 


9351 
9345 
9340 
9334 




3936 
4421 
4906 
5391 


485 
485 
485 
485 


87.768460 
87.396 528 
87.027 734 
86.662 039 


375 112 
371 932 
368794 
365 695 


50 
40 
30 
20 




2 
3 
4 
5 
6 


60000 
90000 
120 000 
150 000 
180 000 




50 


5868 


485 
485 


9329 




5876 


485 
485 


86.299 404 


362 635 
359 613 


10 




7 
8 


210 000 
240 000 


40 





0.011 6353 




0.999 9323 




0.011 6361 




85.939 791 







20 


9 270 000 






Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff. 


" 


' 


Proportional Parts 



89 20' 



SINES, COSINES, TANGENTS AND COTANGENTS 
040' 



' 


" 


Sine 


Diff. 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parta 


40 





0.011 6353 




0.999 9323 




0.011 6361 




86.939 791 







20 






10 


6837 


484 


9317 


6 


6845 


484 


.583 162 


356629 


50 








20 


7322 


485 


9312 


5 


7330 


485 


.229 480 


353682 


40 




Sine 




30 
40 
50 


7807 
8292 
8777 


485 
485 

485 


9306 
9300 
9295 


6 
6 
5 


7815 
8300 
8785 


485 
485 
485 


84.878 709 
.530 813 
.185 757 


350771 
347896 
345056 


30 
20 
10 




484 485 

1 48 4 48 5 
2 90.8 97 








484 




6 




485 




342250 






3 145 2 145 5 


41 





0.011 9261 




0.999 9289 




0.011 9270 




83.843 507 







19 


4 193 6 194 




10 
20 
30 


9746 
0.012 0231 
0716 


485 
485 
485 


9283 
9277 
9271 


6 
6 
6 


9755 
0.012 0240 
0724 


485 
485 
484 


.504 027 
.167 285 
82.833 248 


339480 
336742 
334037 


50 
40 
30 




5 242 242 5 
6 290 4 291 
7 338 8 339 5 
8 387 2 388 




40 


1200 


484 


9265 


6 


1209 


485 


.501 882 


331366 


20 




9 435 6 436 5 




50 


1685 


485 


9260 


5 


1694 


485 


.173 157 


328725 


10 












485 




6 




485 




326 116 








42 





0.012 2170 




0.999 9254 




0.012 2179 




81.847 041 







18 






10 


2655 


485 


9248 


6 


2664 


485 


.523 503 


323 538 


50 




Cosine 




20 
30 


3140 
3624 


485 
484 


9242 
9236 


6 
6 


3149 
3634 


485 
485 


.202 512 
80.884 038 


320 991 
318 474 


40 
30 




Differences are too 
small to tabulate 




40 


4109 


485 


9230 


6 


4119 


485 


.568 053 


315985 


20 








50 


4594 


485 


9224 


6 


4604 


485 


.254 526 


313 527 


10 












485 




6 




484 




311096 








43 



10 
20 


0.012 5079 
5563 
6048 


484 
485 


0.999 9218 
9212 
9206 


6 
6 


0.012 6088 
5573 
6058 


485 
485 


79.943 430 
.634 736 
.328 416 


308694 
306320 



50 
40 


17 


Tangent 

.SYe columns above 
for &ine 




30 


6533 


485 


9199 


7 


6543 


485 


.024 443 


303 973 


30 








40 


7018 


485 


9193 


6 


7028 


485 


78.722 791 


301 652 


20 








50 


7503 


485 


9187 


6 


7513 


485 


.423 433 


299358 


10 












484 




6 




485 




297 091 








44 



10 
20 
30 


0.012 7987 
8472 
8957 
9442 


485 
485 
485 


0.999 9181 
9175 
9168 
9162 


6 
7 
6 


0.012 7998 
8483 
8968 
9452 


485 
485 
484 


78.126 342 
.831 493 
.538 862 
.248 422 


294849 
292 631 
290440 



50 
40 
30 


16 


1 

3 


Cotangent 

360 000 340 000 

36 000 34 000 
72 000 68 000 
108 000 102 000 




40 


9926 


484 


9156 


6 


9937 


485 


76 960 149 


288273 


20 




4 


144 000 136 000 




50 


0.013 0411 


485 
485 


9150 


6 
7 


0.013 0422 


485 
485 


.674 019 


286130 
284010 


10 




5 
6 


180 000 170 000 
216 000 204 000 


45 



10 


0.013 0896 
1381 


485 


0.999 9143 
9137 


6 


0.013 0907 
1392 


485 


76.390 009 
.108095 


281 914 



50 


16 


7 
8 
9 


252 000 238 000 
288 000 272 000 
384 000 306 000 




20 
30 


1865 
2350 


484 
485 


9131 
9124 


6 
7 


1877 
2362 


485 
485 


75.828 254 
.550 462 


279841 
277792 


40 
30 




320 000 300 000 




40 
50 


2835 
3320 


485 
485 
485 


9118 
9111 


6 
7 
5 


2847 
3332 


485 
485 
485 


.274 698 
.000 940 


275764 
273758 
271 775 


20 
10 




1 

2 
3 


32 000 30 000 
64 000 60 000 
96 000 90 000 


























4 


128 000 120 000 


46 



10 


0.013 3806 
4289 


484 


0.999 9105 
9098 


7 


0.013 3817 
4301 


484 


74.729 166 
.459 352 


269 813 



50 


14 


5 
6 


160 000 150 000 
192 000 180 000 




20 
30 
40 


4774 
5259 
5744 


485 
485 
485 


9092 
9085 
9079 


6 
7 
6 


4786 
5271 
5756 


485 
485 
485 


.191 481 
73 925 529 
.661 477 


267 871 
265952 
264062 


40 
30 
20 




7 
8 
9 


224 000 210 000 
256 000 240 000 
288 000 270 000 




50 


6228 


484 
485 


9072 


7 
7 


6241 


485 
485 


.399 304 


262 173 


10 




280000 260000 


























1 


28 000 26 000 


47 





0.013 6713 




0.999 9066 




013 6726 




73.138 991 







13 


2 


56 000 52 000 




10 
20 
30 
40 


7198 
7683 
8168 
8652 


485 
485 
485 
484 


9059 
9052 
9045 
9039 


6 
7 
7 
6 


7211 
7696 
8181 
8666 


485 
485 
485 
485 


72 880 517 
.623 863 
.369 010 
.115 940 


258474 
256654 
254 853 
253 070 


50 
40 
30 
20 




3 
4 
5 
6 

7 


84 000 78 000 
112 000 104 000 
140 000 130 000 
168 000 156 000 
196 000 182 000 




50 


9137 


485 
485 


9032 


7 
7 


9151 


485 
484 


71.864632 


251308 
249 562 


10 




8 
9 


224 000 208 000 
252 000 234 000 


48 



10 
20 
30 


0.013 9622 
0.014 0107 
0591 
1076 


485 
484 
485 


0.999 9026 
9018 
9012 
9005 


7 
6 
7 


0.013 9636 
0.014 0120 
0605 
1090 


485 
485 
485 


71.616 070 
.367 235 
.121 109 
70.876 674 


247 835 
246126 
244435 



50 
40 
30 


12 


1 
2 
3 


240 000 220 000 

24 000 22 000 
48 000 44 000 

72 000 66 000 




40 


1561 


485 


8998 


7 


1575 


485 


.633 913 


242 761 


20 




4 


96 000 88 000 




50 


2046 


485 
484 


8991 


7 
7 


2060 


485 
485 


.392 810 


241 103 
239464 


10 




5 
6 


120 000 110 000 
144 000 132 000 


49 



10 


0.014 2630 
3015 


485 


0.999 8984 
8977 


7 


0.014 2545 
3030 


485 


70.163 346 
69.915 506 


237840 



50 


11 


7 
8 
9 


168 000 1.54 000 
192 000 176 000 
216000.0 1980000 




20 


3500 


485 


8970 


7 


3515 


485 


.679 273 


236 233 


40 








30 


3985 


485 


8963 


7 


4000 


485 


.444630 


234643 


30 








40 


4469 


484 


8956 


7 


4485 


485 


.211 562 


233068 


20 








50 


4954 


485 


8949 


7 


4969 


484 


68.980 053 


231509 


10 












485 




7 




485 




229966 








50 





0.014 5439 




0.999 8942 




0.014 5454 




68.760 087 







10 








Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



89 10' 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
050' 



' 


" 


Sine 


Diff. 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 


60 





0.014 6439 




0.999 8942 




0.014 6464 




68.750 087 







10 








10 


5924 


485 


8935 


7 


5939 


485 


.521 649 


228438 


50 






Sine 




20 
30 
40 


6409 
6893 
7378 


485 
484 

485 


8928 
8921 
8914 


7 
7 
7 


6424 
6909 
7394 


485 
485 
485 


.294 724 
.069 297 
67.845 352 


226925 
225427 
223945 


40 
30 
20 




4 

1 

2 


184 485 

48 4 48 5 
96 8 97 




50 


7863 


485 


8907 


7 


7879 


485 


.622 876 


222476 


10 




3 


45 2 145 5 








485 




7 




485 




221 022 






4 


93 6 194 


61 



10 
20 


0.014 8348 
8832 
9317 


484 

485 


0.999 8900 
8892 
8885 


8 
7 


0.014 8364 
8849 
9334 


485 
485 


67.401 854 
.182 272 
66.964 115 


219582 
218 157 



50 
40 


9 


5 1 
6 1 

7 . 
8 .' 


42 242 5 
90 4 291 
38 8 339 5 
87 2 388 




30 


9802 


485 


8878 


7 


9819 


485 


.747 371 


216 744 


30 




9 4 


35 6 436 5 




40 


0.015 0287 


485 


8871 


7 


0.015 0304 


485 


.532 024 


215 347 


20 










50 


0771 


484 


8863 


8 


0788 


484 


.318 063 


213961 


10 




Cosine 








485 




7 




485 




212590 










52 



10 


0.015 1256 
1741 


485 


0.999 8856 
8849 


7 


0.015 1273 
1758 


485 


66 106 473 
65.894 241 


211 232 



50 


8 


Differences are too 
t>mall to tabulate 




20 
30 
40 


2226 
2710 
3195 


485 
484 
485 


8841 
8834 
8826 


8 
7 
8 


2243 
2728 
3213 


485 
485 
485 


.684 354 
.475 800 
.268 566 


209 887 
208554 
207 234 


40 
30 
20 




Tangent 

Ste columns above 




50 


3680 


485 


8819 


7 


3698 


485 


.062 639 


205 927 


10 




K 








485 




7 




485 




204631 










53 





0.015 4165 




0.999 8812 




0.015 4183 




64.858 008 







7 


Cotangent 




10 


4649 


484 


8804 


8 


4668 


485 


.654 659 


203 349 


50 




230000 220000 




20 


5134 


485 


8797 


7 


5153 


485 


.452 581 


202 078 


40 




1 


23 000 22 000 




30 
40 
50 


5619 
6104 
6588 


485 
485 
484 

485 


8789 
8782 
8774 


8 
7 
8 
g 


5638 
6123 
6608 


485 
485 
485 
485 


.251 761 
.052 189 
63.853 853 


200 820 
199572 
198 336 
197 112 


30 
20 
10 




3 
4 

5 


46 000 44 000 
69 000 66 000 
92 000 88 000 
1150000 1100000 


























6 


1380 


)o n 1x2 noo n 


64 





0.016 7073 




0.999 8766 




0.015 7093 




63.656 741 







6 


7 


161 000 154 000 




10 
20 


7558 
8043 


485 
485 


8759 
8751 


7 
8 


7577 
8062 


484 
485 


.460 842 
.266 145 


195 899 
194 697 


50 
40 




8 
9 


184 000 176 000 
207 000 198 000 




30 


8527 


484 


8743 


8 


8547 


485 


.072 638 


193 507 


30 










40 


9012 


485 


8736 


7 


9032 


485 


62880311 


192 327 


20 




210 000 200 000 




50 


9497 


485 
485 


8728 


8 
8 


9517 


485 
485 


.689 153 


191 158 
189999 


10 




1 

2 


21 000 20 000 
42 000 40 000 


55 



10 
20 


0.015 9982 
0.016 0466 
0951 


484 
485 


0.999 8720 
8712 
8705 


8 
7 


016 0002 
0487 
0972 


485 
485 


62.499 164 
.310 302 
.122 588 


188 852 
187 714 



50 
40 


5 


3 
4 
5 
6 


63 000 60 000 
84 000 80 000 
105 000 100 000 
126 000 120 000 




30 
40 
50 


1436 
1921 
2405 


485 
485 
484 


8697 
8689 
8681 


8 
8 
8 


1457 
1942 
2427 


485 
485 
485 


61 936 002 
.750 532 
566 170 


186 586 
185 470 
184 362 


30 
20 
10 




7 
8 
9 


147 000 140 000 
168 000 160 000 
189 000 180 000 








485 




8 




485 




183 265 










56 





0.016 2890 




0.999 8673 




016 2912 




61 382 905 







14 


190 000 180 000 




10 
20 
30 


3375 
3860 
4344 


485 
485 
484 


8665 
8657 
8649 


8 
8 
8 


3397 
3882 
4367 


485 
485 
485 


.200 728 
019 628 
60 839 597 


182 177 
181 100 
180 031 


50 
40 
30 




1 

3 
4 


1<) 000 18 000 
38 000 30 000 
57 000 54 000 
76 000 72 000 




40 


4829 


485 


8641 


8 


4852 


485 


660,625 


178972 


20 




5 


95 000 90 000 




50 


5314 


485 
485 


8633 


8 
8 


5337 


485 
484 


.482 702 


177 923 
176 882 


10 




6 


1HOOO 108000 
133 000 126 000 


57 



10 


0.016 6799 
6283 


484 


999 8625 
8617 


8 


0.016 5821 
6306 


485 


60.305 820 
.129 969 


175 851 



50 


3 


8 
9 


152 000 144 000 
171 000 162 000 




20 
30 
40 
50 


6768 
7253 
7738 
8222 


485 
485 
485 
484 


8609 
8601 
8593 
8585 


8 
8 
8 
8 


6791 
7276 
7761 
8246 


485 
485 
485 
485 


59 955 140 
.781 325 
.608 514 
.436 699 


174 829 
173 815 
172 811 
171 815 


40 
30 
20 
10 




1 
3 


170 000 160 000 

17 000 16 000 
34 000 32 000 
51 000 48 000 








485 




8 




485 




170 827 






I 


68 000 64 000 


58 





0.016 8707 




999 8577 




0.016 8731 




59.265 872 







2 


r, 


85 000 80 000 




10 


9192 


485 


8569 


8 


9216 


485 


.096 024 


169 848 


50 




6 


102 000 96 000 




20 
30 


9677 
0.017 0161 


485 
484 


8560 
8552 


9 
8 


9701 
017 0186 


485 
485 


58 927 146 
.759 230 


168 878 
167 916 


40 
30 




8 
9 


1190000 1120000 
136 000 128 000 
153 000 144 000 




40 


0646 


485 


8544 


8 


0671 


485 


.592 268 


166 962 


20 










50 


1131 


485 
485 


8536 


8 
9 


1156 


485 
485 


.426 252 


166 016 
165 078 


10 






150000 


59 



10 


0.017 1616 
2100 


484 


999 8527 
8519 


8 


0.017 1641 
2126 


485 


68 261 174 
.097 025 


164 149 



50 


1 


1 

2 
3 


15 000 
30 000 
45 000 




20 


2585 


485 


8511 


8 


2611 


485 


57.933 799 


163 226 


40 




4 


60 000 




30 


3070 


485 


8502 


9 


3096 


485 


.771 487 


162 312 


30 




5 


75 000 




40 
50 


3555 
4039 


485 
484 


8494 
8485 


8 
9 


3581 
4066 


485 
485 


.610 082 
.449 576 


161405 
160506 


20 
10 




6 

7 


90000 
105 000 
120 000 








485 




8 




485 




159 614 






9 


135 000 


60 





0.017 4624 




0.999 8477 




0.017 4551 




67.289 962 


















Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff. 


" 


' 


Proportional Parts 



89 00' 



SINES, COSINES, TANGENTS AND COTANGENTS 



II 


Sine 


Diff. 


Cosine 


Diff 


Tangent 


Diff. 


Cotangent 


Diff. 






Proportional Parts 





0.017 4524 




0.999 8477 




0.017 4561 




57.289 962 







60 






10 


5009 


485 


8468 


9 


5036 


485 


.131 231 


158731 


50 








20 
30 


5494 
5978 


485 
484 


8460 
8451 


8 
9 


5521 
6006 


485 
485 


56.973 378 
.816 394 


157853 
156984 


40 
30 






Sine 


40 


6463 


485 


8443 


8 


6491 


485 


.660273 


156121 


20 




484 485 


50 


6948 


486 
484 


8434 


9 
8 


6975 


484 

485 


.505 007 


155266 
154417 


10 




1 

2 


48 4 48 5 
96 8 97 



10 


0.017 7432 
7917 


485 


0.999 8426 
8417 


9 


0.017 7460 
7945 


485 


56.350 590 
.197013 


153577 



50 


69 


3 1 
4 ] 
5 I 


45 2 145 5 
93 6 194 
42 242 5 


20 


8402 


485 


8409 


8 


8430 


485 


.044272 


152 741 


40 




6 : 


90 4 291 


30 
40 
50 


8887 
9371 
9856 


485 
484 

485 


8400 
8391 
8382 


9 
9 
9 


8915 
9400 
9885 


485 
485 
485 


55.892358 
.741 265 
.590 987 


151 914 
151093 
150278 


30 
20 
10 




7 ; 

8 i 
9 i 


38 8 339 5 
87 2 388 
35 436 5 






485 




8 




485 




149 470 













0.018 0341 




0.999 8374 




0.018 0370 




66.441 517 







58 






10 


0826 


485 


8365 


9 


0855 


485 


.292 848 


148669 


50 




Cosine 


20 
30 


1310 
1795 


484 
485 


8356 
8347 


9 
9 


1340 
1825 


485 
485 


.144974 
54.997 888 


147 874 
147086 


40 
30 




Differences are too 
small to tabulate 


40 


2280 


485 


8339 


8 


2310 


485 


.851 585 


146303 


20 








50 


2765 


485 


8330 


9 


2795 


485 


.706 058 


145 527 


10 












484 




9 




485 




144 758 













0.018 3249 




0.999 8321 




0.018 3280 




64.661 300 







67 


Tangent 


10 
20 


3734 
4219 


485 
485 


8312 
8303 


9 
9 


3765 
4250 


485 
485 


.417 307 
.274 071 


143993 
143 236 


50 
40 




See columns above 
for sine 


30 


4704 


485 


8294 


9 


4735 


485 


.131 587 


142484 


30 








40 
50 


5188 
5673 


484 
485 


8285 
8276 


9 
9 


5220 
5705 


485 
485 


53.989849 
848851 


141738 
140998 


20 
10 




Cotangent 






485 




9 




485 




140263 
































160 


M 150 000 



10 


0.018 6158 
6642 


484 


0.999 8267 
8258 


9 


0.018 6190 
6675 


485 


63.708 588 
.569 052 


139 536 



50 


56 


1 16 000 15 000 
2 32 000 30 000 


20 
30 
40 
50 


7127 
7612 
8097 
8581 


485 
485 
485 
484 


8249 
8240 
8231 
8222 


9 
9 
9 
9 


7160 
7645 
8130 
8615 


485 
485 
485 
485 


.430 240 
.292 145 
.154 762 
.018 085 


138 812 
138 095 
137383 
136 677 


40 
30 
20 
10 




3 48 000 45 000 
4 64 000 60 000 
5 80 000 75 000 
6 96 000 90 000 
7 112 000 105 000 






485 




9 




485 




135 976 






8 128 000 120 000 





0.018 9066 




0.999 8213 




0.018 9100 




52.882 109 







55 


9 144 000 135 000 


10 


9551 


485 


8203 


10 


9585 


485 


.746 828 


135281 


50 








20 


0.019 0036 


485 


8194 


9 


0.019 0070 


485 


.612 238 


134590 


40 








30 


0520 


484 


8185 


9 


0555 


485 


.478 332 


133906 


30 




140 000 130 000 


40 


1005 


485 


8176 


9 


1040 


485 


.345 106 


133 226 


20 




1 14 000 13 000 


50 


1490 


485 
484 


8166 


10 
9 


1525 


485 
485 


.212 555 


132 551 
131882 


10 




2 28 000 26 000 
3 42 000 39 000 



10 
20 


019 1974 
2459 
2944 


485 
485 


0.999 8167 
8148 
8138 


9 
10 


0.019 2010 
2495 
2980 


485 
485 


52.080 673 
51.949455 
.818 896 


131 218 
130 559 



50 
40 


54 


4 56 000 52 000 
5 70 000 65 000 
6 84 000 78 000 
7 98 000 91 000 


30 
40 


3429 
3913 


485 
484 


8129 
8120 


9 
9 


3465 
3950 


485 
485 


.688 992 
.559 737 


129904 
129 255 


30 
20 




8 112 000 104 000 
8 126 000 117 000 


50 


4398 


485 


8110 


10 


4435 


485 


.431 127 


128 610 


10 












485 




9 




485 




127 970 













0.019 4883 




0.999 8101 




0.019 4920 




51.303 167 







63 




120000 


10 


5367 


484 


8091 


10 


5405 


485 


.175 821 


127 336 


50 




1 


12000 


20 


5852 


485 


8082 


9 


5890 


485 


.049 116 


126 705 


40 




2 


24000 


30 
40 
50 


6337 
6822 
7306 


485 
485 
484 


8072 
8063 
8053 


10 
9 
10 


6375 
6860 
7345 


485 
485 
485 


50 923 037 
.797 578 
.672 736 


126 079 
125 459 
124842 


30 
20 
10 




3 
4 
5 
6 


86 000 
48000 
60 000 
72 000 






485 




9 




485 




124230 






7 


84 000 



10 


0.019 7791 
8276 


485 


0.999 8044 
8034 


10 


0.019 7830 
8315 


485 


60.648606 
.424 883 


123623 



50 


62 


8 
9 


96 000 
108 000 


20 


8761 


485 


8025 


9 


8800 


485 


.301 863 


123 020 


40 








30 


9245 


484 


8015 


10 


9285 


485 


.179 442 


122 421 


30 








40 


9730 


485 


8005 


10 


9770 


485 


.057 615 


121 827 


20 






110000 


50 


0.020 0215 


485 
484 


7996 


9 
10 


0.020 0255 


485 
485 


49.936 378 


121 237 
120 652 


10 




1 

2 


11000 
22 000 



10 
20 
30 


0.020 0699 
1184 
1669 
2154 


485 
485 
485 


0.999 7986 
7976 
7966 
7956 


10 
10 
10 


0.020 0740 
1225 
1710 
2195 


485 
485 
485 


49.816 726 
.695 656 
.576 163 
.457 243 


120070 
119 493 
118 920 



50 
40 
3d 


61 


3 
4 

5 
6 

7 


33 000 
44 000 
55 000 
66 000 
77 000 


40 
50 


2638 
3123 


484 
485 


7947 
7937 


9 
10 


2680 
3165 


485 
485 


.338 892 
.221 106 


118 351 
117786 


20 
10 




8 
9 


88000 
99000 






485 




10 




485 




117 225 













0.020 3608 




0.999 7927 




0.020 3650 




49.103 881 







50 








Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff. 


" 


' 


Proportional Parts 



88 50' 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 



' 


" 


Sine 


Diff 


Cosine 


Diff. 


Tangent 


Diff. 


Cotangent 


Diff. 






Proportional Parts 


10 



10 


0.0203608 
4092 


484 


0.999 7927 
7917 


10 


0.020 3660 
4135 


485 


49.103 881 
48.987 212 


116669 



50 


50 






20 


4577 


485 


7907 


10 


4620 


485 


.871 096 


116 116 


40 








30 


5062 


485 


7897 


10 


5105 


485 


.755 529 


115567 


30 








40 


5547 


485 


7887 


10 


5590 


485 


.640508 


115 021 


20 








50 


6031 


484 


7877 


10 


6075 


485 


.526 027 


114481 


10 












485 




10 




485 




113943 








11 





0.020 6516 




0.999 7867 




0.020 6660 




48.412 084 







49 






10 


7001 


485 


7857 


10 


7045 


485 


.298 675 


113 409 


50 








20 


7485 


484 


7847 


10 


7530 


485 


.185795 


112880 


40 




Sine 




30 


7970 


485 


7837 


10 


8015 


485 


.073 441 


112 354 


30 




484 485 486 




40 
50 


8455 
8939 


485 
484 

485 


7827 
7817 


10 
10 
10 


8500 
8985 


485 
485 
485 


47.961 610 
.850 298 


111831 
111 312 
110 797 


20 
10 




1 48 4 48 5 48 6 
2 96 8 97 97 2 
3 145 2 145 5 145 8 


12 



10 
20 
30 
40 


0.020 9424 
9909 
0.021 0394 
0878 
1363 


485 
485 
484 

485 


0.999 7807 
7797 
7786 
7776 
7766 


10 

11 

10 
10 


0.020 9470 
9955 
0.021 0440 
0925 
1410 


485 
485 
485 
485 


47.739 601 
.629 216 
.519 439 
.410 167 
.301 396 


110 285 
109777 
109272 
108771 



50 
40 
30 
20 


48 


4 193 6 194 194 4 
5 242 242 5 243 
6 290 4 291 291 6 
7 338 8 339 5 340 2 
8 387 2 388 388 8 
9 435 6 436 5 437.4 




50 


1848 


485 


7756 


10 


1895 


485 


.193 122 


108 274 


10 












484 




11 




485 




107779 








13 





0.021 2332 




0.999 7745 




0.021 2380 




47.085 343 







47 






10 


2817 


485 


7735 


10 


2865 


485 


46.978 055 


107288 


50 




Cosine 




20 
30 
40 


3302 
3787 
4271 


485 
485 
484 


7725 
7715 
7704 


10 
10 

11 


3350 
3835 
4320 


485 
485 
485 


.871 254 
.764 938 
.659 103 


106 801 
106316 
105835 


40 
30 
20 




10 11 12 

11011 12 
22022 24 




50 


4756 


485 


7694 


10 


4805 


485 


.553 745 


105358 


10 




3 3 3 'i 36 








485 




11 




486 




104883 






44044 48 


14 



10 
20 


0.021 6241 
5725 
6210 


484 

485 


0.999 7683 
7673 
7662 


10 

11 


0.021 6291 
5776 
6261 


485 
485 


46.448 862 
.344 450 
.240 507 


104 412 
103 943 



50 
40 


46 


55055 60 
66066 72 
77077 84 
88088 96 




30 


6695 


485 


7652 


10 


6746 


485 


.137028 


103 479 


30 




9 9 9 10 8 




40 


7179 


484 


7641 


11 


7231 


485 


.034 Oil 


103 017 


20 








50 


7664 


485 


7631 


10 


7716 


485 


45.931 453 


102 558 


10 












485 




11 




485 




102 102 








15 



10 


0.021 8149 
8634 


485 


0.999 7620 
7610 


10 


0.021 8201 
8686 


485 


45.829 361 
.727 702 


101649 



50 


45 


Tangent 




20 


9118 


484 


7599 


11 


9171 


485 


.626 502 


101200 


40 




Nee column* above 




30 


9603 


485 


7588 


11 


9656 


485 


.525 749 


100 753 


30 




for 8i ne 




40 


0.022 0088 


485 


7578 


10 


0.022 0141 


485 


425440 


100309 


20 








50 


0572 


484 


7567 


11 


0626 


485 


.325 571 


99869 


10 












485 




11 




485 




99430 








16 





0.022 1057 




0.999 7666 




0.022 1111 




46.226 141 







*U 


Cotangent 




10 
20 
30 


1542 
2026 
2511 


485 
484 

485 


7546 
7535 
7524 


10 

11 
11 


1596 
2081 
2566 


485 
485 
485 


.127 145 
.028 582 
44 930 448 


98996 
98563 
98134 


50 
40 
30 




120 000 110 000 

1 12 000 11 000 
2 24 000 22 000 




40 
50 


2996 
3481 


485 
485 
484 


7513 
7503 


11 
10 

11 


3051 
3536 


485 
485 
485 


832741 
.735 458 


97707 
97283 
96862 


20 
10 




3 36 000 33 000 
4 48 000 44 000 
5 60 000 55 000 


17 



10 


0.022 3966 
4450 


485 


0.999 7492 
7481 


11 


0.022 4021 
4506 


485 


44.638 696 
.542 152 


96444 



50 


43 


6 72 000 66 000 
7 84 000 77 000 
8 96 000 88 000 




20 


4935 


485 


7470 


11 


4992 


486 


.446123 


96 029 


40 




9 108 000 99 000 




30 


5419 


484 


7459 


11 


5477 


485 


.350 508 


95615 


30 








40 


5904 


485 


7448 


11 


5962 


485 


.255 303 


95 205 


20 




100000 90000 




50 


6389 


485 
484 


7437 


11 
11 


6447 


485 
485 


.160 506 


94797 
94393 


10 




1 10 000 9 000 
2 20 000 18 000 


18 



10 
20 


0.022 6873 
7358 
7843 


485 
485 


0.999 7426 
7415 
7404 


11 
11 


0.022 6932 
7417 
7902 


485 
485 


44.066 113 
43.972 123 
.878 533 


93990 
93590 



50 
40 


42 


3 30 000 27 000 
4 40 000 36 000 
5 50 000 45 000 
6 60 000 54 000 




30 
40 
50 


8327 
8812 
9297 


484 

485 
485 


7393 
7382 
7371 


11 

11 
11 


8387 
8872 
9357 


485 
485 
485 


.785 341 
.692 543 
.600 137 


93 192 
92798 
92406 


30 
20 
10 




7 70 000 63 000 
8 80 000 72 000 
9 90 000 81 000 








484 




11 




485 




92015 








19 





0.022 9781 




0.999 7360 




0.022 9842 




43.508 122 







41 






10 


0.023 0266 


485 


7349 


11 


0.023 0327 


485 


.416 493 


91629 


50 








20 


0751 


485 


7337 


12 


0812 


485 


.325 250 


91243 


40 








30 


1236 


485 


7326 


11 


1297 


485 


.234 389 


90861 


30 








40 


1720 


484 


7315 


11 


1782 


485 


.143 908 


90481 


20 








50 


2205 


485 


7304 


11 


2268 


486 


.053 805 


90 103 


10 












485 




12 




485 




89728 








20 





0.023 2690 




0.999 7292 




0.023 2763 




42.964 077 







40 








Cosine 


Diff. 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



88 40' 



SINES, COSINES, TANGENTS AND COTANGENTS 
120' 



' 


" 


Sine 


Diff. 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff. 






Proportional Parts 


20 





0.0232690 




0.999 7292 




0.023 2753 




42.964 077 







40 


Sine 




10 


3174 


484 


7281 


11 


3238 


485 


.874 723 


89354 


50 




484 485 486 




20 


3659 


485 


7270 


11 


3723 


485 


.785 739 


88984 


40 






48 4 48 5 48 6 




30 
40 


4144 
4628 


485 
484 


7258 
7247 


12 
11 


4208 
4693 


485 
485 


.697 123 
.608 874 


88616 
88249 


30 
20 




2 
3 
4 


96 8 97 97 2 
145 2 145 5 145 8 
193 6 194 194 4 




50 


5113 


485 


7236 


11 


5178 


485 


.520 988 


87886 


10 




5 


242 242 5 243 








485 




12 




485 




87524 






(i 


290 4 291 291 6 


21 



10 
20 


0.023 5598 
6082 
6567 


484 

485 


0.999 7224 
7213 
7201 


11 
12 


0.0236663 
6148 
6633 


485 
485 


42.433 464 
.346 299 
.259 492 


87165 
86807 



50 
40 


39 


7 
8 
9 


338 8 339 5 340 2 
387 2 388 388 8 
135 6 436 5 437 4 




30 
40 


7052 
7536 


485 
484 


7190 
7178 


11 
12 


7118 
7603 


485 
485 


.173 039 
.086 939 


86453 
86100 


30 
20 




Cosine 




50 


8021 


485 
485 


7167 


11 
12 


8088 


485 
486 


.001 190 


85749 
85400 


10 




11 12 13 

111 12 13 


22 





0.023 8506 




0.999 7165 




0.023 8574 




41.915 790 







38 


222 24 26 
333 36 39 




10 


8990 


484 


7144 


11 


9059 


485 


.830 736 


85054 


50 




444 48 52 




20 


9475 


485 


7132 


12 


9544 


485 


.746 026 


84710 


40 




555 60 65 




30 
40 


9960 
0.024 0444 


485 
484 


7121 
7109 


11 
12 


0.024 0029 
0514 


485 
485 


.661 658 
.577 631 


84368 
84027 


30 
20 




668 72 78 
777 84 91 
888 9 6 10 4 




50 


0929 


485 


7097 


12 


0999 


485 


.493 941 


83690 


10 




999 10 8 11 7 








485 




11 




485 




83353 








23 



10 


0.024 1414 
1898 


484 


0.999 7086 
7074 


12 


0.024 1484 
1969 


485 


41.410 688 


83020 





37 


Tangent 








f* f 




12 




* 


.244 881 


o2 687 


40 




v See columns above 




30 


2868 


485 


7050 




2939 


485 


.162 523 


82358 


30 




for sine 




40 


3352 


484 


7039 


11 


3425 


486 


.080 494 


82029 


20 








50 


3837 


485 
485 


7027 


12 
12 


3910 


485 
485 


40.998 791 


81 703 
81379 


10 




G. k angent 

ftQ OOfk Of* AAA 


24 





0.024 4322 




0.999 7016 




0.024 4395 




40.917 412 







36 


i 


8 900 - * 700 




10 
20 


4806 
5291 


484 
485 


7003 
6991 


12 
12 


4880 
5365 


485 
485 


.836355 
.755 618 


81057 
80737 


50 
40 




2 
3 
4 


17800 174uox 
28 700 26 100 
35 600 34 800 




30 


5776 


485 


6979 


12 


5850 


485 


.675 200 


80 418 


30 




5 


44 500 43 500 




40 


6260 


484 


6967 


12 


6335 


485 


.595 098 


80 102 


20 




6 


53 400 52 200 




50 


6745 


485 
485 


6955 


12 
12 


6820 


485 
485 


.515312 


79 786 
79475 


10 




7 
8 


62 300 60 900 
71 200 69 600 




























80 100 78 300 


26 





0.024 7230 




0.999 6943 




0.024 7305 




40.435 837 







35 








10 
20 
30 


7714 
8199 
8684 


484 
485 
485 


6931 
6919 
6907 


12 
12 
12 


7790 
8276 
8761 


485 
486 
485 


.356 674 
.277 820 
.199 274 


79163 
78854 
78546 


50 
40 
30 




1 
2 
3 


85000 83000 

8 500 8 300 
17 000 16 600 
25 500 24 900 




40 


9168 


484 


6895 


12 


9246 


485 


.121 033 


78 241 


20 




4 


34 000 33 200 




50 


9653 


485 


6883 


12 


9731 


485 


.043096 


77937 


10 




5 


42 500 41 500 








485 




12 




485 




77635 






6 


51 000 49 800 


26 



10 
20 


0.025 0138 
0622 
1107 


484 

485 


0.999 6871 
6859 
6847 


12 
12 


0.025 0216 
0701 
1186 


485 
485 


39.965 461 
.888 126 
.811 089 


77335 
77037 



50 
40 


34 


7 
8 
9 


59 500 58 100 
68 000 66 400 
76 500 74 700 




30 
40 
50 


1592 
2076 
2561 


485 
484 

485 
485 


6835 
6822 
6810 


12 
13 
12 
12 


1671 
2157 
2642 


485 
486 
485 
485 


.734 350 
.657 905 
.581 754 


76 739 
76445 
76151 
75859 


30 
20 
10 




1 
2 
3 
4 


81000 79000 

8 100 7 900 
16 200 15 800 
24 300 23 700 
32 400 31 600 


27 





0.025 3046 




0.999 6798 




0.025 3127 




39 506 895 







33 


5 


40 500 39 500 




10 
20 


3530 
4015 


484 
485 


6786 
6773 


12 
13 


3612 
4097 


485 
485 


.430 325 
355044 


75570 
75281 


50 
40 




6 

7 
8 


48 600 47 400 
56 700 55 300 
64 800 63 200 




30 


4500 


485 


6761 


12 


4582 


485 


.280 050 


74 994 


30 




9 


72 900 71 100 




40 
50 


4984 
5469 


484 

485 


6749 
6736 


12 
13 


5067 
5552 


485 
485 


.205 341 
.130 915 


74 709 
74426 
74 144 


20 
10 




1 


77000 75000 

7 700 7 500 








485 




12 




486 










2 


15 400 15 000 


28 



10 
20 
30 
40 
50 


0.025 5964 
6438 
6923 
7408 
7892 
8377 


484 
485 
485 
484 
485 


0.999 6724 
6711 
6699 
6687 
6674 
6662 


13 
12 
12 
13 
12 


0.025 6038 
6523 
7008 
7493 
7978 
8463 


485 
485 
485 
485 
485 


39.066 771 
38.982 908 
.909 323 
.836 015 
.762 982 
.690 224 


73863 
73585 
73308 
73033 
72758 



50 
40 
30 
20 
10 


32 


3 
4 

5 
6 
7 
8 
9 


23 100 22 500 
30 800 30 000 
38 500 37 500 
46 200 45 000 
53 900 52 500 
61 600 60 000 
69 300.0 67 500 








485 




13 




485 




72 486 








29 



10 
20 
30 
40 
50 


0.025 8862 
9346 
9831 
0.0260316 
0800 
1285 


484 

485 
485 
484 
485 
484 


0.999 6649 
6636 
6624 
6611 
6599 
6586 


13 
12 
13 
12 
13 
13 


0.025 8948 
9434 
9919 
0.026 0404 
0889 
1374 


486 
485 
485 
485 
485 
485 


38.617 738 
.545 523 
.473 578 
.401900 
.330 489 
.259 342 


72215 
71945 
71678 
71411 
71147 
70883 



50 
40 
30 
20 
10 


31 


1 

2 
3 
4 

5 
6 
7 
8 


73 000 71 000 

7 300 7 100 
14 600 14 200 
21 900 21 300 
29 200 28 400 
36 500 35 500 
43 800 42 600 
51 100 49 700 
58 400 56 800 


30 





0.026 1769 




0.999 6573 




0.026 1859 




38.188 459 







30 


9 


65 700 63 900 






Cosine 


Diff. 


Sine 


Diff. 


Cotangent 


Diff 


Tangent 


Diff. 


" 


' 


Proportional Parts 



88 30' 



10 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 

i30' 



' 


" 


Sine 


Diff 


Cosine 


Diff. 


Tangent 


Diff 


Cotangent 


Diff. 






Proportional Parts 


30 



10 
20 
30 
40 
50 


0.026 1769 
2254 
2739 
3223 
3708 
4193 


485 
485 
484 
485 
485 
484 


0.999 6673 
6561 
6548 
6535 
6522 
6510 


12 
13 
13 
13 
12 
13 


0.026 1869 
2344 
2830 
3315 
3800 
4285 


485 
486 

485 
485 

485 
485 


38.188 459 
.117 838 
.047 478 
37.977 377 
.907 533 
.837 946 


70621 
70360 
70101 
69844 
69587 



50 
40 
30 
20 
10 


30 


4 

I 
2 
3 1 


Sine 

184 485 486 

48 4 48.5 48.6 
96 8 97.0 97 2 
45 2 145.5 145.8 


31 



10 
20 
30 
40 
50 


0.026 4677 
5162 
5647 
6131 
6616 
7101 


485 
485 
484 

485 
485 
484 


0.999 6497 
6484 
6471 
6458 
6445 
6432 


13 
13 
13 
13 
13 
13 


0.026 4770 
5255 
5740 
6226 
6711 
7196 


485 
485 
486 
485 
485 
485 


37.768 613 
.699 534 
.630 707 
.562 130 
.493 803 
.425 724 


69333 

69079 
68827 
68577 
68327 
68079 
67832 



50 
40 
30 
20 
10 


29 


4 ] 
5 5 

6 2 

7 a 

8 3 
9 4 


93 6 194 194 4 
42 242 5 243 
90 4 291 291 6 
38 8 339 5 340 2 
87 2 388 388 8 
35 6 436 5 437 4 


32 



10 
20 
30 
40 
50 


0.026 7686 
8070 
8554 
9039 
9524 
0.027 0008 


485 
484 
485 
485 
484 
485 


0.999 6419 
6406 
6393 
6380 
6367 
6354 


13 
13 
13 
13 
13 
13 


0.026 7681 
8166 
8651 
9137 
9622 
0.027 0107 


485 
485 
486 
485 
485 
485 


37.357 892 
.290 304 
.222 961 
.155 860 
.089 001 
.022 382 


67588 
67343 
67101 
66859 
66619 
66381 



50 
40 
30 
20 
10 


28 


1 

2 
3 
4 
5 


Cosine 

12 13 14 

12 13 14 
24 26 28 
36 39 42 
48 52 56 
60 65 70 


33 



10 
20 
30 


0.027 0493 
0978. 


485 

485 
484 


0.999 6341 
6315 


13 

t* 


0.027 0592 
1077 

1562 


485 
485 


36.956 001 
.889 858 
.823 951 


66143 
65907 



50 


27 


6 

7 
8 
9 


72 78 84 
84 91 98 
96 10 4 11 2 
10 8 11 7 12 6 




40 


1947 


485 


6302 


13 


2048 


486 


.7^8 27 y 


w * bl * 


30 








50 


2432 


485 


6288 


14 


2533 


485 


.692 840 


65 439 


20 






34 




2916 


484 

485 


6275 


13 
13 


3018 


485 
485 


.627 634 


65 206 
64975 


10 




Tangent 




10 


0.027 3401 
3885 


484 


0.999 6262 
6249 


13 


0.027 3603 
3988 


485 


36.562 659 
.497 914 


64745 



50 


26 


See columns above 
for sine 




20 


4370 


485 


6235 


14 


4473 


485 


.433 398 


64 516 


40 








30 
40 


4855 
5339 


485 
484 


6222 
6209 


13 
13 


4959 
5444 


486 
485 


.369 109 
.305 047 


64 289 
64062 


30 
20 




Cotangent 




50 


5824 


485 


6195 


14 


5929 


485 


.241 210 


63837 


10 




71 000 69 000 








485 




13 




485 




63 614 
































i 


7 100 6 900 


35 





0.027 6309 




0.999 6182 




0.027 6414 




36.177 696 







25 


2 


14 200 13 800 




10 
20 
30 
40 


6793 
7278 
7763 
8247 


484 

485 
485 
484 


6169 
6155 
6142 
6128 


13 
14 
13 
14 


6899 
7385 
7870 
8355 


485 
486 
485 
485 


.114206 
.051 037 
35.988 088 
.925 359 


63 390 
63169 
62949 
62729 


50 
40 
30 
20 




3 
4 

6 

7 


21 300 20 700 
28 400 27 600 
35 500 34 500 
42 600 41 400 
49 700 48 300 




50 


8732 


485 
484 


6115 


13 
14 


8840 


485 
485 


.862 847 


62 512 
62294 


10 




8 
9 


56 800 55 200 
63 900 62 100 


36 



10 
20 
30 


0.027 9216 
9701 
0.028 0186 
0670 


485 
485 
484 


0.999 6101 
6088 
6074 
6060 


13 
14 
14 


0.027 9325 
9810 
0.028 0296 
0781 


485 
486 
485 


35.800 653 
.738 475 
.676611 
.614 961 


62078 
61864 
61650 



50 
40 
30 


V 


1 
2 
3 


67 000 65 000 

6 700 6 500 
134000 13000.0 
20 100 19 500 




40 


1155 


485 


6047 


13 


1266 


485 


.553 524 


61 437 


20 




4 


26 800 26 000 




50 


1640 


485 
484 


6033 


14 
13 


1751 


485 
485 


.492 298 


61226 
61016 


10 




5 
6 


33 500 32 500 
40 200 3!) 000 


37 



10 
20 


0.028 2124 
2609 
3093 


485 
484 


0.999 6020 
6006 
5992 


14 
14 


0.028 2236 
2722 
3207 


486 
485 


35.431 282 
.370 476 
.309 878 


60806 
60598 



50 
40 


23 


7 
8 
9 


46 900 45 500 
53 600 52 000 
60 300 58 500 




30 


3578 


485 


5978 


14 


3692 


485 


.249 487 


60391 


30 




63 000 61 000 




40 
50 


4063 
4547 


485 
484 
485 


5965 
5951 


13 
14 
14 


4177 
4662 


485 
485 
486 


.189 302 
.129 322 


60 185 
59980 
59776 


20 
10 




1 

2 
3 


6 300 6 100 
12 600 12 200 
18 900 18 300 


38 



10 
20 


0.028 6032 
5516 
6001 


484 
485 


0.999 5937 
5923 
5909 


14 
14 


0.028 5148 
5633 
6118 


485 
485 


35 069 546 
.009 973 
34 950 601 


59573 
59372 



50 
40 


22 


4 
5 
6 

7 


25 200 24 400 
31 500 30 500 
37 800 36 600 
44 100 42 700 




30 
40 


6486 
6970 


485 
484 


5895 
5882 


14 
13 


6603 

7089 


485 
486 


.891 431 
.832 461 


59170 
58970 


30 
20 




8 
9 


50 400 48 800 
56 700 54 900 




50 


7455 


485 
485 


5868 


14 
14 


7574 


485 
485 


.773 689 


58 772 
58574 


10 




59 000 57 000 


39 



10 
20 


0.028 7940 
8424 
8909 


484 

485 


0.999 5854 
5840 
5826 


14 
14 


0.028 8059 
8544 
9029 


485 
485 


34.716 115 
.656 738 
.598 557 


58377 
58181 



50 
40 


21 


1 

2 
3 
4 


5 900 5 700 
11 800 11 400 
17 700 17 100 
23 600 22 800 




30 
40 
50 


9393 
9878 
0.029 0363 


484 
485 
485 


5812 
5798 
5784 


14 
14 
14 


9515 
0.029 0000 
0485 


486 
485 
485 


.540 570 
.482 778 
.425 178 


57 987 
57792 
57600 


30 
20 
10 




5 
6 
7 
8 


29 500 28 500 
35 400 34 200 
41 300 39 900 
47 200 45 600 








484 




14 




485 




57 407 






9 


53 100 51 300 


40 





0.0290847 




0.999 5770 




0.029 0970 




34.367 771 







20 








Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff. 


" 


' 


Proportional Parts 



88 20' 



SINES, COSINES, TANGENTS AND COTANGENTS 
140' 



11 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff. 






Proportional Parts 


40 





0.029 0847 




0.999 5770 




0.029 0970 




34.367 771 







20 






10 


1332 


485 


5755 


15 


1456 


486 


.310 554 


57217 


50 








20 


1816 


484 


5741 


14 


1941 


485 


.253 528 


57026 


40 








30 


2301 


485 


5727 


14 


2426 


485 


.196690 


56838 


30 








40 
50 


2786 
3270 


485 
484 

485 


5713 
5699 


14 
14 
15 


2911 
3396 


485 
485 
486 


.140041 
.083 579 


56649 
56462 
56276 


20 
10 




Sine 

484 485 486 


41 



10 
20 


0.029 3755 
4239 
4724 


484 

485 
485 


0.999 5684 
5670 
5656 


14 
14 
j^ 


0.029 3882 
4367 
4852 


485 
485 
485 


34.027 303 
33.971 212 
.915 306 


56091 
55906 
55 722 



50 
40 


19 


2 
3 
4 


48 4 48 5 48 6 
96 8 97 97.2 
145 2 145 5 145 8 
193 6 194 194 4 




30 
40 
50 


5209 
5693 
6178 


484 

485 
484 


5642 
5627 
5613 


15 
14 
14 


5337 
5823 
6308 


486 
485 
485 


.859 584 
.804044 
.748 686 


55540 
55358 
55177 


30 
20 
10 




5 
6 

7 
8 


242 242 5 243 
290 4 291 291 6 
338 8 339 5 340 2 
58? 2 388 388 8 


























9 


t35 6 436 5 437 4 


42 





0.029 6662 




0.999 6599 




0.029 6793 




33.693 509 







18 








10 


7147 


485 


5584 


15 


7278 


485 


.638 512 


54997 


50 








20 


7632 


485 


5570 


14 


7764 


486 


.583694 


54818 


40 








30 


8116 


484 


5555 


15 


8249 


485 


.529 054 


54640 


30 




Cosine 




40 
50 


8601 
9085 


485 
484 

485 


5541 
5526 


14 
15 
14 


8734 
9219 


485 
485 
486 


.474 591 
.420 305 


54463 
54286 
54111 


20 
10 




1 


14 15 16 

14 15 16 


43 





0.029 9670 


jor 


0.999 5612 




0.029 9705 




33.366 194 







17 


2 
3 


28 30 32 
42 45 48 




10 


0.030 0055 


480 


5497 


15 


0.030 0190 


485 


.312 259 


53 935 


50 




4 


56 60 64 




20 


0539 


484 


5483 


14 


0675 


485 


.258 497 


53 762 


40 




5 


70 75 80 




30 
40 
50 


1024 
1508 
1993 


485 
484 
485 


5468 
5454 
5439 


15 
14 
15 


1160 
1646 
2131 


485 
486 
485 


.204908 
.151 492 
.098 247 


53589 
53416 
53245 


30 
20 
10 




6 
7 
8 
9 


84 90 96 
98 10 5 11 2 
11 2 12 12 8 
12 6 13 5 14 4 








485 




15 




485 




53074 








44 





0.030 2478 




0.999 5424 




0.030 2616 




33.045 173 







16 






10 


2962 


484 


5410 


14 


3101 


485 


32.992 268 


52905 


50 








20 


3447 


485 


5395 


15 


3587 


486 


.939 532 


52736 


40 




Tangent 




30 


3931 


484 
485 


5380 


15 
15 


4072 


485 
485 


.886 965 


52567 
52 400 


30 




See columns above 




40 


4416 




5365 




4557 




.834 565 




20 




for sine 




50 


4901 


485 


5351 


14 


5042 


485 


.782 331 


52234 


10 












484 




15 




486 




52067 








45 



10 


0.030 5385 
5870 


485 


0.999 6336 
5321 


15 


0.030 5528 
6013 


485 


32.730 264 
.678 361 


51903 



50 


15 


Cotangent 




20 
30 
40 
50 


6354 
6839 
7323 
7808 


484 
485 
484 
485 
485 


5306 
5291 
5276 
5262 


15 
15 
15 
14 
15 


6498 
6983 
7469 
7954 


485 
485 
486 
485 
485 


.626 622 
.575 047 
.523 635 
.472 384 


51 739 
51575 
51412 
51251 
51089 


40 
30 
20 
10 




2 
3 
4 


57 000 55 000 

5 700 5 500 
11 400 11 000 
17 100 16 500 
22 800 22 000 


46 



10 
20 
30 


0.030 8293 
8777 
9262 
9746 


484 
485 
484 


0.999 6247 
5232 
5217 
5202 


15 
15 
15 


0.030 8439 
8925 
9410 
9895 


486 
485 
485 


32.421 295 
.370 365 
.319 596 
.268 985 


50930 
50769 
50611 



50 
40 
30 


14 


5 
6 

7 
8 
9 


28 500 27 500 
34 200 33 000 
39 900 38 500 
45 600 44 000 
51 300 49 500 




40 
50 


0.031 0231 
0716 


485 
485 
484 


5187 
5172 


15 
15 
15 


0.031 0380 
0866 


485 
486 
485 


.218 533 
.168237 


50 452 
50296 
50138 


20 
10 




l 


53 000 51 000 

5 300 5 100 


47 





0.031 1200 


485 


0.999 5157 


16 


0.031 1351 


485 


32.118 099 


49 983 





13 


2 
3 


10 600 10 200 
15 900 15 300 




10 


1685 




5141 




1836 




.068 116 




50 




4 


21 200 20 400 




20 


2169 


484 


5126 


15 


2322 


486 


.018 289 


49 827 


40 




5 


26 500 25 500 




30 
40 
50 


2654 
3138 
3623 


485 
484 
485 


5111 
5096 
5081 


15 
15 
15 


2807 
3292 
3777 


485 
485 
485 


31.968616 
.919 096 
.869 730 


49673 
49520 
49366 


30 
20 
10 




6 

7 
8 
9 


31 800 30 600 
37 100 35 700 
42 400 40 800 
47 700 45 900 








485 




15 




486 




49214 








48 





0.031 4108 




0.9996066 




0.031 4263 




31.820 516 







12 


49 000 47 000 




10 


4592 


484 


5050 


16 


4748 


485 


.771 454 


49 062 


50 




1 


4 900 4 700 




20 
30 
40 
50 


5077 
5561 
6046 
6530 


485 
484 
485 
484 


5035 
5020 
5005 
4989 


15 
15 
15 
16 


5233 
5719 
6204 
6689 


485 
486 
485 
485 


.722 542 
.673 781 
.625 169 
.576 706 


48 912 
48761 
48612 
48463 


40 
30 
20 
10 




2 
3 
4 
5 
6 


9 800 9 400 
14 700 14 100 
19 600 18 800 
24 500 23 500 
29 400 28 200 








485 




15 




485 




48314 






7 


34 300 32 900 


49 



10 


0.031 7016 
7500 


485 


0.999 4974 
4958 


16 


0.031 7174 
7660 


486 


31.628 392 
.480 224 


48168 



50 


11 


8 
9 


39 200 37 600 
44100.0 423000 




20 


7984 


484 


4943 


15 


8145 


485 


.432 204 


48020 


40 








30 


8469 


485 


4928 


15 


8630 


485 

AOf 


.384 330 


47874 
47 729 


30 








40 


8953 


484 


4912 


16 


9116 


450 


.336 601 




20 








50 


9438 


485 


4897 


15 


9601 


485 


.289 017 


47584 


10 












484 




16 




485 




47 440 








50 





0.031 9922 




0.999 4881 




0.032 0086 




31.241 577 







10 








Cosine 


Diff. 


Sine 


Diff. 


Cotangent 


Diff 


Tangent 


Diff. 


" 


' 


Proportional Parts 



88 10' 



12 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
150' 



' 


" 


Sine 


Diff. 


Cosine 


Difl. 


Tangent 


Diff. 


Cotangent 


Diff 






Proportional Parts 


60 



10 
20 


0.031 9922 
0.032 0407 
0892 


485 
485 


0.999 4881 
4866 
4850 


15 
16 


0.0320086 
0572 
1057 


486 

485 


31.241 677 
.194 280 
.147 127 


47297 
47153 



50 
40 


10 


Sine 

484 485 486 




30 


1376 


484 


4835 


15 
if 


1542 


485 


.100 115 


47012 


30 




1 


48 4 48 5 48 6 




40 
50 


1861 
2345 


485 
484 

485 


4819 
4803 


16 
16 
15 


2028 
2513 


486 
485 
485 


.053 246 
.006 517 


46869 
46729 
46589 


20 
10 




2 
3 1 
4 1 


96 8 97 97 2 
45 2 145 5 145 8 
93 6 194 194 4 


61 



10 


0.032 2830 
3314 


484 


0.999 4788 
4772 


16 


0.032 2998 
3483 


485 


30.969 928 
.913 479 


46449 



50 


9 


5 2 
6 2 

7 3 


42 242 5 243 
90 4 291 291 6 
38 8 339 5 340 2 




20 
30 


3799 
4283 


485 
484 


4756 
4741 


16 
15 


3969 
4454 


486 
485 


.867 169 
.820 998 


46310 
46171 


40 
30 




8 3 
9 4 


87 2 388 388 8 
35 6 436.5 437 4 




40 


4768 


485 


4725 


16 


4939 


485 


.774 964 


46034 


20 








50 


5253 


485 


4709 


16 


5425 


486 


.729 067 


45897 


10 












484 




16 




485 




45 760 








62 





0.032 6737 




0.999 4693 




0.032 6910 




30.683 307 







8 


Cosine 




10 


6222 


485 


4678 


15 


6395 


485 


.637683 


45624 


50 




15 16 17 




20 


6706 


484 


4662 


16 


6881 


486 


.592 194 


45489 


40 




i 


15 16 17 




30 
40 


7191 
7675 


485 
484 


4646 
4630 


16 
16 


7366 
7851 


485 
485 


.546 840 
.501 620 


45354 
45220 


30 
20 




2 
3 

4 


30 32 34 
45 48 51 
60 64 68 




50 


8160 


485 


4614 


16 


8337 


486 


.456 534 


45086 


10 




5 


75 80 85 








484 




16 




485 




44954 






6 


90 9 6 10 2 


63 



10 
20 


0.032 8644 
9129 
9614 


485 
485 


0.999 4698 
4582 
4566 


16 
16 


0.032 8822 
9307 
9793 


485 
486 


30.411 680 
.366 759 
.322 070 


44821 
44689 



50 
40 


7 


7 
8 
9 


10 5 11 2 11 9 
12 12 8 13 6 
13 5 14 4 15 3 




30 


0.033 0098 


484 


4550 


16 


0.033 0278 


485 


.277 512 


44 558 


30 








40 


0583 


485 


4534 


16 


0763 


485 


.233 084 


44 428 


20 








50 


1067 


484 
485 


4518 


16 
16 


1249 


486 
485 


.188 787 


44297 
44168 


10 




Tangent 


64 



10 


0.033 1662 
2036 


484 


0.9994602 
4486 


16 


0.033 1734 
2220 


486 


30.144 619 
.100 580 


44039 



50 


6 


See columns above 
for Bine 




20 


2521 


485 


4470 


16 


2705 


485 


.056 669 


43 911 


40 








30 


3005 


484 


4454 


16 


3190 


485 


.012 886 


43 783 


30 








40 
50 


3490 
3975 


485 
485 
484 


4438 
4421 


16 
17 
16 


3676 
4161 


486 
485 
485 


29.969 231 
.925 702 


43 655 
43529 
43403 


20 
10 




Cotangent 

47000 46000 


66 



10 
20 


0.033 4469 
4944 
5428 


485 
484 


0.999 4406 
4389 
4373 


16 
16 


0.033 4646 
5132 
5617 


486 
485 


29.882 299 
.839 021 
.795 869 


43278 
43152 



50 
40 


6 


i 

2 
3 
4 


4 700 4 600 
9 400 9 200 
14 100 13 800 
18 800 18 400 




30 


5913 


485 


4357 


16 


6102 


485 


.752 841 


43028 


30 




5 


23 500 23 000 




40 
50 


6397 
6882 


484 

485 
484 


4340 
4324 


17 
16 
16 


6588 
7073 


486 
485 
485 


.709 937 
.667 157 


42904 
42780 
42 658 


20 
10 




6 

7 
8 


28 200 27 600 
32 900 32 200 
37 600 36 800 


























9 


42 300 41 400 


66 





0.033 7366 




0.9994308 




0.033 7668 




29.624 499 







\ 








10 


7851 


485 


4291 


17 


8044 


486 


.581 964 


42535 


50 




45000 44000 




20 


8335 


484 


4275 


16 


8529 


485 


.539 551 


42413 


40 




1 


4 500 4 400 




30 
40 
50 


8820 
9304 
9789 


485 
484 

485 
485 


4258 
4242 
4226 


17 
16 
16 
17 


9015 
9500 
9985 


486 
485 
485 
486 


.497 259 
.455 088 
.413 037 


42292 
42171 
42051 
41 931 


30 
20 
10 




2 
3 
4 

5 


9 000 8 800 
13 500 13 200 
18 000 17 600 
22 500 22 000 


























6 


27 000 26 400 


67 





0.034 0274 




0.9994209 




0.034 0471 




29.371 106 







3 


7 


31 500 30 800 




10 
20 


0758 
1243 


484 

485 


4193 
4176 


16 
17 


0956 
1441 


485 
485 


.329 294 
.287600 


41812 
41694 


50 
40 




8 
9 


36 000 35 200 
40 500 39 600 




30 
40 
50 


1727 
2212 
2696 


484 
485 
484 


4159 
4143 
4126 


17 
16 
17 


1927 
2412 
2898 


486 
485 
486 


.246 025 
.204 568 
.163 228 


41575 
41457 
41340 


30 
20 
10 




1 
2 


43000 42000 

4 300 4 200 
8 600 8 400 








485 




16 




485 




41223 






3 


12 900 12 600 


68 





0.034 3181 




0.999 4110 




0.034 3383 




29.122 006 







2 


4 


17 200 16 800 




10 
20 
30 


3665 
4150 
4634 


484 
485 
484 


4093 
4076 
4060 


17 
17 
16 


3868 
4354 
4839 


485 
486 
485 


.080 898 
.039 906 
28.999 030 


41 107 
40992 
40876 


50 
40 
30 




5 
6 

7 
8 


21 500 21 000 
25 800 25 200 
30 100 29 400 
34 400 33 600 




40 


5119 


485 


4043 


17 


5325 


486 


.958 269 


40761 


20 




9 


38 700 37 800 




50 


5603 


484 

485 


4026 


17 
17 


5810 


485 
485 


.917 622 


40647 
40533 


10 




41000 40000 


69 



10 
20 


0.0346088 
6572 
7057 


484 

485 


0.999 4009 
3993 
3976 


16 
17 


0.034 6296 
6781 
7266 


486 

485 


28.877 089 
.836669 
.796362 


40420 
40307 



50 
40 


1 


1 

2 
3 
4 


4 100 4 000 
8 200 8 000 
12 300 12 000 
16 400 16 000 




30 


7541 


484 


3959 


17 


7751 


485 


.756 167 


40195 


30 




5 


20 500 20 000 




40 
50 


8026 
8510 


485 
484 

485 


3942 
3925 


17 
17 
17 


8237 
8722 


486 
485 
486 


.716 085 
.676 114 


40082 
39971 
39861 


20 
10 




6 

8 


24 600 24 000 
28 700 28 000 
32 800 32 000 


























9 


36 900 36 000 


60 





0.034 8996 




0.999 3908 




0.034 9208 




28.636 263 


















Cosine 


Diff. 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff. 


" 


' 


Proportional Parts 



88 OO 7 



SINES, COSINES, TANGENTS AND COTANGENTS 
2 00' 



13 



' 


n 


Sine 


Diff. 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff. 






Proportional Parts 






10 


0.034 8995 
9479 


484 


0.999 3908 
3891 


17 


0.034 9208 
9693 


485 


28.636 253 
.596504 


39749 



50 


60 


Sine 




20 
30 
40 


9964 
0.035 0449 
0933 


485 
485 
484 


3874 
3857 
3840 


17 
17 
17 


0.035 0179 
0664 
1149 


486 
485 

485 


.556 864 
.517 334 
.477 913 


39640 
39530 
39421 


40 
30 
20 




4 
2 


S4 485 486 

48 4 48 5 48 6 
96 8 97 97 2 




50 


1418 


485 
484 


3823 


17 
17 


1635 


486 
485 


.438 601 


39312 
39204 


10 




3 1 
4 1 


45 2 145 5 145 8 
93 6 194 194 4 


1 



10 
20 


0.035 1902 
2387 
2871 


485 
484 


0.9993806 
3789 
3772 


17 
17 


0.035 2120 
2606 
3091 


486 
485 


28.399 397 
.360 301 
.321 312 


39096 
38989 



50 
40 


59 


5 2 
6 2 

7 a 
8 a 


42 242 5 243 
90 4 291 291 6 
38 8 339 5 340 2 
87 2 388 388 8 




30 


3356 


485 


3755 


17 


3576 


485 


.282 430 


38 882 


30 




9 4 


35 6 436 5 437 4 




40 


3840 


484 


3738 


17 


4062 


486 


.243 655 


38775 


20 








50 


4325 


485 


3721 


17 


4547 


485 


.204 985 


38670 


10 












484 




17 




486 




38563 








2 





0.035 4809 




0.999 3704 




0.036 5033 




28.166 422 







58 


Cosine 




10 


5294 


485 


3686 


18 


5518 


485 


.127963 


38 459 


50 




17 18 19 




20 


5778 


484 


3669 


17 


6004 


486 


.089 609 


38 354 


40 




i 


17 18 19 




30 


6263 


485 


3652 


17 


6489 


485 


.051 360 


38249 


30 




2 


34 36 38 




40 
50 


6747 
7232 


484 
485 
484 


3635 
3617 


17 
18 
17 


6974 
7460 


485 
486 
485 


.013 214 
27.975 172 


38 146 
38042 
37939 


20 
10 




3 
4 
5 


51 54 57 
68 72 76 
85 90 95 


3 





0.036 7716 




0.999 3600 




0.035 7945 


10f 


27.937 233 


37 836 





67 


6 

7 


10 2 10 8 11 4 
11 9 12 6 13 3 




10 
20 


8201 
8685 


485 
484 


3583 
3565 


17 
18 


8431 
8916 


MO 

485 


.899 397 
.861 663 


37734 


50 
40 




8 
9 


13 6 14 4 15 2 
15 3 16 2 17 1 




30 


9170 


485 


3548 


17 


9402 


486 


.824 030 


37633 


30 








40 


9654 


484 


3530 


18 


9887 


485 


.786 499 


37531 


20 








50 


0.036 0139 


485 
484 


3513 


17 
18 


036 0372 


485 
486 


.749 069 


37430 
37329 


10 




Tangent 


4 



10 


0.036 0623 
1108 


485 


0.999 3495 
3478 


17 


0.036 0858 
1343 


485 


27.711 740 
.674 511 


37229 



50 


56 


See columns above 
for sine 




20 
30 


1592 
2077 


484 
485 


3460 
3443 


18 
17 


1829 
2314 


486 
485 


.637 381 
.600 351 


37 130 
37030 


40 
30 








40 
50 


2561 
3046 


484 
485 


3425 
3408 


18 
17 


2800 
3285 


486 
485 


.563 420 
.526 587 


36931 
36833 


20 
10 




Cotangent 








484 




18 




486 




36 734 






40000 39000 


5 



10 
20 
30 
40 


0.036 3530 
4015 
4499 
4984 
5468 


485 
484 
485 
484 


0.999 3390 
3372 
3355 
3337 
3319 


18 
17 
18 
18 


0.036 3771 
4256 
4742 
5227 
5712 


485 
486 
485 
485 


27.489 863 
.453 216 
.416 677 
.380 235 
.343 889 


36637 
36539 
36442 
36346 



50 
40 
30 
20 


55 


2 
3 
4 
5 
6 


4000 3900 
8 000 7 800 
12 000 11 700 
16 000 15 600 
20 000 19 500 
24 000 23 400 




50 


5953 


485 
484 


3302 


17 
18 


6198 


486 
485 


.307640 


36 249 
36154 


10 




7 
8 


28 000 27 300 
32 000 31 200 


6 





0.036 6437 




0.999 3284 




0.036 6683 




27.271 486 


36 058 





64 


9 


36 000 35 100 




10 
20 
30 


6922 
7406 
7891 


485 
484 
485 


3266 
3248 
3231 


18 
18 
17 


7169 
7654 
8140 


486 
485 
486 


.235 428 
.199465 
.163 597 


35963 
35868 


50 
40 
30 




1 

2 


38000 37000 

3 800 3 700 
7 600 7 400 




40 
50 


8375 
8860 


484 
485 
484 


3213 
3195 


18 
18 
18 


8625 
9111 


485 
486 
485 


.127823 
.092 143 


35 774 
35680 
35586 


20 
10 




3 
4 
5 


11 400 11 100 
15 200 14 800 
19 000 18 500 


7 



10 
20 
30 
40 
50 


0.036 9344 
9828 
0.037 0313 
0797 
1282 
1766 


484 
485 
484 

485 
484 
485 


0.999 3177 
3159 
3141 
3123 
3105 
3087 


18 
18 
18 
18 
18 
18 


0.036 9696 
0.037 0082 
0567 
1053 
1538 
2024 


486 
485 
486 
485 
486 
485 


27.066 667 
021064 
26.985 664 
.950 356 
.915 140 
.880 017 


35493 
35400 
35308 
35216 
35123 
35033 



50 
40 
30 
20 
10 


63 


6 

7 
8 
9 

1 

2 


22 800 22 200 
26 600 25 900 
30 400 29 600 
34 200 33 300 

36000 35000 

3 600 3 500 
7 200 7 000 


























3 


10 800 10 500 


8 





0.037 2251 




0.999 3069 




0.037 2609 




26.844 984 


34 941 





62 


4 


14 400 14 000 




10 
20 
30 
40 
50 


2735 
3220 
3704 
4189 
4673 


484 

485 
484 

485 
484 
485 


3051 
3033 
3015 
2997 
2979 


18 
18 
18 
18 
18 
19 


2995 
3480 
3966 
4451 
4937 


486 
485 
486 
485 
486 
485 


.810 043 
.775 192 
.740 432 
.705 762 
.671 182 


34851 
34760 
34670 
34580 
34492 


50 
40 
30 
20 
10 




5 
6 
7 
8 
9 


18 000 17 500 
216000 210000 
25 200 24 500 
28 800 28 000 
32 400 31 500 

34000 


9 



10 
20 
30 
40 
50 


0.037 5168 
5642 
6127 
6611 
7096 
7580 


484 

485 
484 
485 
484 

485 


0.999 2960 
2942 
2924 
2906 
2887 
2869 


18 
18 
18 
19 
18 
18 


0.037 5422 
5908 
6393 
6879 
7364 
7850 


486 
485 
486 
485 
486 
485 


26.636 690 
.602 288 
.567 975 
.533 749 
.499 612 
.465 562 


34402 
34313 
34226 
34137 
34050 
33962 



50 
40 
30 
20 
10 


61 


1 3400 
2 6800 
3 10 200 
4 13600 
5 17000 
6 20 400 
7 23800 
8 27 200 


10 





0.037 8065 




0.999 2851 




0.037 8335 




26.431 600 







50 


9 30600 






Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff. 


" 


' 


Proportional Parts 



87 60' 



14 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
2 10' 



' 


" 


Sine 


Diff. 


Cosine 


Diff. 


Tangent 


Diff 


Cotangent 


Diff. 






Proportional Parts 


10 



10 


0.0378066 
8549 


484 


0.999 2861 
2832 


19 


0.037 8336 
8821 


486 


26.431 600 
.397 724 


33876 


sS 


60 






20 


9033 


484 


2814 


18 


9306 


485 


.363 935 


33789 


40 








30 


9518 


485 


2796 


18 


9792 


486 


.330 232 


33703 


30 








40 


0.0380002 


484 


2777 


19 


0.038 0277 


485 


.296 615 


33617 


20 








50 


0487 


485 


2759 


18 


0763 


486 


.263 084 


33 531 


10 












484 




19 




485 




33446 








11 





0.038 0971 




0.999 2740 




0.0381248 




26.229 638 







49 


Sine 




10 


1456 


485 


2722 


18 


1734 


486 


.196277 


33361 


50 




484 485 486 




20 
30 
40 


1940 
2425 
2909 


484 
485 
484 


2703 
2685 
2666 


19 
18 
19 


2219 
2705 
3190 


485 
486 

485 


.163 001 
.129 809 
.096 701 


33276 
33192 
33108 


40 
30 
20 




1 

2 
3 

4 


48 4 48 5 48 6 
96 8 97 97 2 
45 2 145 5 145 8 
93 6 194 194 4 




50 


3394 


485 


2648 


18 


3676 


486 


.063 677 


33024 


10 




5 4 


>42 242 5 243 








484 




19 




485 




32941 






6 i 


590 4 291 291 6 


12 



10 
20 


0.038 3878 
4363 
4847 


485 
484 


0.999 2629 
2611 
2592 


18 
19 


0.038 4161 
4647 
5132 


486 
485 


26.030 736 
25.997 878 
.965 103 


32858 
32775 



50 
40 


48 


7 i 
8 I 
9 < 


{38 8 339 5 340 2 
87 2 388 388 8 
35 6 436 5 437 4 




30 
40 


5331 
5816 


484 
485 


2573 
2555 


19 
18 


5618 
6103 


486 
485 


.932 410 
.899799 


32693 

32611 


30 
20 




Cosine 




50 


6300 


484 


2536 


19 


6589 


486 


.867 270 


32 529 


10 




18 19 20 








485 




19 




485 




32447 






i 


18 19 20 


13 



10 
20 
30 


0.038 6786 
7269 
7754 
8238 


484 
485 
484 


0.999 2617 
2498 
2480 
2461 


19 
18 
19 


0.038 7074 
7560 
8046 
8531 


486 
486 
485 


26.834 823 
.802 456 
.770 171 
.737 966 


32367 
32285 
32205 



50 
40 
30 


47 


2 
3 
4 
5 
6 


36 38 40 
54 57 60 
72 76 80 
90 9 5 10 
10 8 114 12 




40 
50 


8723 
9207 


485 
484 

485 


2442 
2423 


19 
19 
19 


9017 
9502 


486 
485 
486 


.705 842 
.673 797 


32 124 
32045 
31965 


20 
10 




7 
8 
9 


12 6 U 3 14 
14 4 15 2 16 
16 2 17 1 18 


14 



10 


0.038 9692 
0.039 0176 


484 


0.9992404 
2385 


19 


0.038 9988 
0.039 0473 


485 


26.641 832 
.609947 


31885 



50 


46 


Tangent 




20 


0660 


484 


2366 


19 


0959 


486 


.578 140 


31807 


40 




See columns above 




30 


1145 


485 


2347 


19 


1444 


485 


.546 413 


31 727 


30 




for sine 




40 


1629 


484 


2328 


19 


1930 


486 


.514 764 


31649 


20 








50 


2114 


485 
484 


2309 


19 

19 


2416 


486 
485 


.483 193 


31571 
31493 


10 




Cotangent 


16 



10 
20 


0.039 2698 
3083 
3567 


485 
484 


0.999 2290 
2271 
2252 


19 
19 


0.039 2901 
3387 
3872 


486 
485 


26.461 700 
.420 284 
.388946 


31416 
31338 



50 
40 


45 


i 

2 
3 


34000 33000 

3 400 3 300 
6 800 6 600 
10 200 9 900 




30 


4051 


484 


2233 


19 


4358 


486 


.357 685 


31261 


30 




4 


13 600 13 200 




40 
50 


4536 
5020 


485 
484 
485 


2214 

2195 


19 
19 
19 


4843 
5329 


485 
486 
485 


.326 501 
.295 393 


31 184 
31108 
31032 


20 
10 




5 
6 

7 


170000 165000 
20 400 19 800 
23 800 23 100 


























g 


27 200 26 400 


16 





0.039 6606 




0.999 2176 




0.039 6814 




26.264 361 







44 


9 


30 600 29 700 




10 


5989 


484 


2157 


19 


6300 


486 


.233 406 


30955 


50 








20 
30 
40 
50 


6474 
6958 
7443 
7927 


485 
484 
485 
484 
484 


2137 
2118 
2099 
2080 


20 
19 
19 
19 
20 


6786 
7271 
7757 
8242 


486 
485 
486 
485 
486 


.202 526 
.171 721 
.140 992 
.110337 


30880 
30805 
30729 
30655 
30580 


40 
30 
20 
10 




1 
2 
3 
4 


32 000 31 000 

3 200 3 100 
6 400 6 200 
9 600 9 300 
12 800 12 400 


17 



10 
20 
30 


0.039 8411 
8896 
9380 
9865 


485 
484 

485 


0.999 2060 
2041 
2022 
2002 


19 
19 
20 


0.039 8728 
9214 
9699 
0.040 0185 


486 
485 
486 


25.079 767 
.049 251 
.018 819 
24.988 461 


30506 
30432 
30358 



50 
40 
30 


43 


5 
6 

7 
8 
9 


16 000 15 500 
19 200 18 600 
22 400 21 700 
25 600 24 800 
28 800 27 900 




40 


0.040 0349 


484 


1983 


19 


0670 


485 


958 176 


30285 


20 








50 


0834 


485 


1963 


20 


1156 


486 


.927 965 


30211 


10 




30 000 29 000 








484 




19 




485 




30 139 










18 



10 
20 
30 
40 
50 


0.040 1318 
1802 
2287 
2771 
3256 
3740 


484 

485 
484 
485 
484 
484 


0.999 1944 
1924 
1905 
1885 
1866 
1846 


20 
19 
20 
19 
20 
19 


0.040 1641 
2127 
2613 
3098 
3584 
4069 


486 
486 
485 
486 
485 
486 


24.897 826 
.867 760 
.837 767 
.807 846 
.777 996 
.748 218 


30066 
29993 
29921 
29850 
29778 
29706 



50 
40 
30 
20 
10 


42 


3 
4 
5 
6 
7 
8 
9 


3 000 2 900 
6 000 5 800 
9 000 8 700 
120000 116000 
15 000 14 500 
18 000 17 400 
21 000 20 300 
24 000 23 200 
27000.0 261000 


19 





0.0404224 




0.999 1827 




0.040 4666 




24.718 612 







41 






10 


4709 


485 


1807 


20 


5041 


486 


.688 877 


29635 


50 








20 


5193 


484 


1788 


19 


5526 


485 


.659312 


29565 


40 








30 


5678 


485 


1768 


20 


6012 


486 


.629 818 


29494 


30 








40 


6162 


484 


1748 


20 


6498 


486 


.600 395 


29423 


20 








50 


6647 


485 


1729 


19 


6983 


485 


.571 041 


29354 


10 












484 




20 




486 




29283 








20 





0.040 7131 




0.999 1709 




0.040 7469 




24.641 768 







40 








Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff. 


" 


' 


Proportional Parts 



87 40' 



SINES, COSINES, TANGENTS AND COTANGENTS 
2 20' 



15 



' 


" 


Sine 


Diff. 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 


20 



10 


0.040 7131 
7615 


484 


0.999 1709 
1689 


20 


0.040 7469 
7954 


485 


24.541 758 
.512544 


29214 



50 


40 








20 


8100 


485 


1669 


20 


8440 


486 


.483399 


29 145 


40 






Sine 




30 
40 
50 


8584 
9069 
9553 


484 
485 
484 
484 


1649 
1630 
1610 


20 
19 
20 
20 


8926 
9411 
9897 


486 
485 
486 
486 


.454 324 
.425 317 
.396 379 


29075 
29007 
28938 
28870 


30 
20 
10 




484 485 486 

1 48 4 48 5 48 6 
2 96 8 97 97 2 
3 145 2 145 5 145 8 


21 





0.041 0037 




0.999 1690 




0.041 0383 




24.367 609 







39 


4 193 ( 


i 194 194 4 




10 


0522 


485 


1570 


20 


0868 


485 


.338 708 


28801 


50 




5 242 242 5 243 




20 
30 
40 


1006 
1491 
1975 


484 

485 
484 


1550 
1530 
1510 


20 
20 
20 


1354 
1839 
2325 


486 

485 
486 


.309 974 
.281 308 
.252 710 


28734 
28666 
28598 


40 
30 
20 




6 290 4 291 291 6 
7 338 8 339 5 340 2 
8 387 2 388 388 8 
9 435 6 436 5 437 4 




50 


2459 


484 


1490 


20 


2811 


486 


.224 178 


28532 


10 














485 




20 




485 




28464 










22 





0.041 2944 




0.999 1470 




0.041 3296 




24.195 714 







38 


Cosine 




10 


3428 


484 


1450 


20 


3782 


486 


.167316 


28398 


50 






19 20 




20 
30 
40 


3913 
4397 
4881 


485 
484 
484 


1430 
1410 
1390 


20 
20 
20 


4268 
4753 
5239 


486 
485 
486 


.138985 
.110720 
.082 521 


28331 
28265 
28199 


40 
30 
20 




1 

2 
3 
4 


19 20 
38 40 
57 60 
7.6 80 




50 


5366 


485 


1370 


20 


5725 


486 


.054 388 


28 133 


10 




5 


9 5 100 








484 




20 




485 




28068 






6 


11 4 12 


23 



10 
20 


0.041 5850 
6335 
6819 


485 
484 


0.999 1360 
1330 
1309 


20 
21 


0.041 6210 
6696 
7182 


486 
486 


24.026 320 
23.998 318 
.970 380 


28002 
27938 



50 
40 


37 


7 
8 
9 


13 3 14 
15 2 16 
17 1 18 




30 


7303 


484 


1289 


20 


7667 


485 


.942 508 


27872 


30 










40 


7788 


485 


1269 


20 


8153 


486 


.914 700 


27808 


20 






21 22 




50 


8272 


484 
485 


1249 


20 
21 


8639 


486 
485 


.886 956 


27744 
27679 


10 




1 

2 


21 22 
42 44 


24 



10 
20 


0.041 8757 
9241 
9725 


484 
484 


0.999 1228 
1208 
1188 


20 
20 


0.041 9124 
9610 
0.0420096 


486 
486 


23.859 277 
.831662 
.804 110 


27615 
27552 



50 
40 


36 


3 
4 
5 
6 


63 66 
84 88 
10 5 11 
12 6 13 2 




30 
40 
50 


042 0210 
0694 
1178 


485 
484 

484 


1167 
1147 
1126 


21 
20 
21 


0581 
1067 
1553 


485 
486 
486 


.776 622 
.749 198 
.721 836 


27 488 
27424 
27362 


30 
20 
10 




7 
8 
9 


14 7 15 4 
16 8 17 6 
18 9 19 8 








485 




20 




485 




27299 










25 



10 
20 


0.042 1663 
2147 
2632 


484 
485 


0.999 1106 
1086 
1065 


20 
21 


0.042 2038 
2524 
3010 


486 
486 


23.694 637 
.667 301 
.640127 


27236 
27174 



50 
40 


36 


Tangent 

See columns above 
for sine 




30 
40 


3116 
3600 


484 
484 


1045 
1024 


20 
21 


3495 
3981 


485 
486 


.613 016 
.585 966 


27 111 
27050 


30 
20 




Cotangent 




50 


4085 


485 
484 


1004 


20 
21 


4467 


486 
485 


.558 979 


26 987 
26927 


10 




29000 28000 


























1 29 


inn n o BAH n 


26 



10 
20 
30 
40 
50 


0.042 4569 
5054 
5538 
6022 
6507 
6991 


485 
484 
484 

485 
484 
484 


0.999 0983 
0962 
0942 
0921 
0900 
0880 


21 
20 
21 
21 
20 
21 


0.042 4952 
5438 
5924 
6409 
6895 
7381 


486 
486 
485 
486 
486 
485 


23.532 052 
.505 188 
.478 384 
.451 642 
.424 960 
.398 338 


26864 
26804 
26742 
26682 
26622 
26561 



50 
40 
30 
20 
10 


34 


2 5800 5600 
3 8 700 8 400 
4 11600 112000 
5 14 500 14 000 
6 17 400 16 800 
7 20 300 19 600 
8 23 200 22 400 
9 26 100 25 200 


27 



10 
20 
30 
40 


0.042 7476 
7960 
8444 
8928 
9413 


485 
484 

484 
485 


0.999 0859 
0838 
0818 
0797 
0776 


21 
20 
21 
21 


0.042 7866 
8352 
8838 
9324 
9809 


486 
486 
486 
485 


23.371 777 
.345 276 
.318 835 
.292 454 
.266 132 


26501 
26441 
26381 
26322 



50 
40 
30 
20 


33 


27 000 26 000 

1 2 700 2 600 
2 5 400 5 200 
3 8 100 7 800 
4 10 800 10 400 




50 


9897 


484 

485 


0755 


21 
21 


0.043 0295 


486 
486 


.239 870 


26 262 
26204 


10 




5 13 500 13 000 
6 16 200 15 600 


28 



10 
20 
30 


0.043 0382 
0866 
1350 
1835 


484 
484 
485 


0.999 0734 
0713 
0693 
0672 


21 
20 
21 


0.043 0781 
1266 
1752 
2238 


485 
486 
486 


23.213 666 
.187 522 
.161 436 
.135409 


26144 
26086 
26027 



50 
40 
30 


32 


7 18 900 18 200 
8 21 600 20 800 
9 24 300 23 400 

25000 




40 
50 


2319 
2803 


484 
484 
485 


0651 
0630 


21 
21 
21 


2724 
3209 


486 
485 
486 


.109440 
.083 530 


25 969 
25910 
25853 


20 
10 




1 

2 
3 


2 500 
5 000 
7500 


29 



10 


0.0433288 
3772 


484 


0.999 0609 
0588 


21 


0.043 3695 
4181 


486 
485 


23.057 677 
.031 882 


25795 
25 738 



50 


31 


4 
5 
6 


10000 
12500 
15 000 




20 


4256 


484 


0567 


21 


4666 




.006144 




40 




7 


175000 




30 
40 
50 


4741 
5225 
5710 


485 
484 
485 


0546 
0524 
0503 


21 
22 
21 


5152 
5638 
6124 


486 
486 
486 


22.980464 
.954841 
.929 275 


25680 
25623 
25566 


30 
20 
10 




8 
9 


20000 
'22 500 








484 




21 




485 




25 509 










30 





0.043 6194 




0.999 0482 




0.0436609 




22.903 766 







30 










Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff. 


" 


' 


Proportional Parts 



87 30' 



16 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
2 30' 



- 


" 


Sine 


Diff. 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff. 






Proportional Parts 


30 





0.043 6194 




0.999 0482 




0.0436609 




22.903 766 







30 






10 


6678 


484 


0461 


21 


7095 


486 


.878 313 


25453 


50 








20 


7163 


485 


0440 


21 


7581 


486 


.852 917 


25396 


40 








30 


7647 


484 


0419 


21 


8067 


486 


.827 576 


25341 


30 








40 


8131 


484 


0397 


22 


8552 


485 


.802 292 


25284 


20 








50 


8616 


485 


0376 


21 


9038 


486 


.777 064 


25228 


10 












484 




21 




486 




25172 








31 



10 
20 
30 
40 


0.043 9100 
9584 
0.0440069 
0553 
1037 


484 

485 
484 
484 


0.999 0365 
0334 
0312 
0291 
0270 


21 
22 
21 
21 


0.043 9524 
0.044 0010 
0495 
0981 
1467 


486 
485 
486 
486 


22.751 892 
.726 775 
.701 713 
.676 706 
.651 754 


25117 
25062 
25007 
24952 



50 
40 
30 
20 


29 


^ 
i 

2 
3 


Sine 

184 485 486 

48 4 48 5 48 6 
96 8 97 97 2 
45 2 145 5 145 8 




50 


1522 


485 


0248 


22 


1953 


486 


.626 857 


24897 


10 




4 


L93 6 194 194 4 








484 




21 




485 




24842 






5 J 


J42 242 5 243 


32 



10 
20 


0.0442006 
2490 
2975 


484 
485 


0.999 0227 
0205 
0184 


22 
21 


0.0442438 
2924 
3410 


486 
486 


22.602 015 
.577 227 
.552 493 


24788 
24734 



50 
40 


28 


6 $ 
7 .' 
8 . 
9 4 


J90 4 291 291 6 
538 8 339 5 340 2 
J87 2 388 388 8 
135 6 436 5 437 4 




30 


3459 


484 


0162 


22 


3896 


486 


.527 813 


24680 


30 








40 
50 


3943 
4428 


484 

485 


0141 
0119 


21 
22 


4381 
4867 


485 
486 


.503 187 
.478 615 


24626 
24572 


20 
10 




Cosine 








484 




21 




486 




24 519 






21 22 23 


33 





0.044 4912 




0.999 0098 




0.044 5353 




22.454 096 







27 


1 


21 22 23 




10 


5396 


484 


0076 


22 


5839 


486 


.429 630 


24466 


50 




2 


42 44 46 




20 
30 
40 


5881 
6365 
6849 


485 
484 

484 


0055 
0033 
0011 


21 
22 
22 


6325 
6810 
7296 


486 
485 
486 


.405 218 
.380 859 
.356 552 


24412 
24359 
24307 


40 
30 
20 




3 
4 
5 
6 


63 66 69 
84 88 92 
10 5 11 11 5 
12 13 2 13 8 




50 


7334 


485 
484 


0.998 9990 


21 
22 


7782 


486 
486 


.332 298 


24254 
24201 


10 




7 
8 


14 7 15 4 16 1 

16 8 17 6 18 4 


34 





0.044 7818 




0.998 9968 




0.044 8268 




22.308 097 







26 


9 


18 9 19 8 20 7 




10 


8302 


484 


9946 


22 


8754 


486 


.283 948 


24149 


50 








20 
30 
40 


8787 
9271 
9755 


485 
484 
484 


9924 
9903 
9881 


22 
21 
22 


9239 
9725 
0.0450211 


485 
486 
486 


.259 850 
.235 805 
.211 812 


24098 
24045 
23993 


40 
30 
20 




Tangent 

See columns above 
for sine 




50 


0.045 0240 


485 


9859 


22 


0697 


486 


.187870 


23942 


10 












484 




22 




486 




23890 








35 





0.045 0724 




0.998 9837 




0.045 1183 




22.163 980 







25 


Cotangent 




10 


1208 


484 


9815 


22 


1668 


485 


.140 141 


23839 


50 




26 000 25 000 




20 


1693 


485 


9793 


22 


2154 


486 


.116353 


23788 


40 




l 


2 600 2 500 




30 
40 
50 


2177 
2661 
3146 


484 
484 

485 
484 


9772 
9750 
9728 


21 
22 
22 
22 


2640 
3126 
3612 


486 
486 
486 
485 


.092 617 
.068930 
.045 295 


23 736 
23687 
23635 
23585 


30 
20 
10 




2 
3 
4 
5 


5 200 5 000 
7 800 7 500 
10 400 10 000 
13 000 12 500 
























1 


g 


15 600 15 000 


36 





0.045 3630 




0.998 9706 




0.045 4097 




22 021 710 







24 


7 


18 200 17 500 




10 
20 


4114 
4599 


484 
485 


9684 
9662 


22 
22 


4583 
5069 


486 
486 


21.998175 
.974 691 


23 535 
23484 


50 
40 




8 
9 


20 800 20 000 
23 400 22 500 




30 


5083 


484 


9640 


22 


5555 


486 


.951 256 


23435 


30 








40 


5567 


484 


9618 


22 


6041 


486 


.927 872 


23384 


20 




24 000 23 000 




50 


6051 


484 
485 


9595 


23 
22 


6526 


485 
486 


.904 537 


23335 
23286 


10 




2 


2 400 2 300 
4 800 4 600 


37 



10 
20 


0.045 6636 
7020 
7504 


484 
484 


0.998 9673 
9551 
9529 


22 
22 


0.046 7012 
7498 
7984 


486 
486 


21.881 251 
.858 015 
.834 828 


23236 
23187 



50 
40 


23 


3 
4 
5 
6 


7 200 6 900 
9 600 9 200 
12 000 11 500 
14 400 13 800 




30 
40 
50 


7989 
8473 
8957 


485 
484 
484 


9507 
9485 
9462 


22 
22 
23 


8470 
8956 
9441 


486 
486 
485 


.811 690 
.788 601 
.765 560 


23 138 
23089 
23041 


30 
20 
10 




7 
8 
9 


16 800 16 100 
19 200 18 400 
21 600 20 700 








485 




22 




486 




22991 








38 





00459442 




0.998 9440 




0.046 9927 




21.742 569 







22 


22000 




10 


9926 


484 


9418 


22 


0.046 0413 


486 


.719 625 


22944 


50 




1 2 200 




20 
30 


0.046 0410 
0894 


484 
484 


9396 
9373 


22 
23 


0899 
1385 


486 
486 


.696 730 
.673883 


22895 
22847 


40 
30 




2 4 400 
3 6600 
4 8 800 




40 


1379 


485 


9351 


22 


1871 


486 


.651 084 


22 799 


20 




5 11 000 




50 


1863 


484 


9328 


23 


2356 


485 


.628 333 


22 751 


10 




6 13 200 








484 




22 




486 




22703 






7 15400.0 


39 



10 


0.046 2347 
2832 


485 


0.998 9306 
9284 


22 


0.0462842 
3328 


486 


21.605 630 
.582 974 


22656 



50 


21 


8 17 600 
9 19 800 




20 


3316 


484 


9261 


23 


3814 


486 


.560 365 


22609 


40 








30 


3800 


484 


9239 


22 


4300 


486 


.537 804 


22 561 


30 








40 


4285 


485 


9216 


23 


4786 


486 


.515 289 


22515 


20 








50 


4769 


484 


9194 


22 


5272 


486 


.492 822 


22467 


10 












484 




23 




485 




22421 








40 





0.046 5253 




0.998 9171 




0.046 5757 




21.470401 







20 








Cosine 


Diff 


Sine 


Diff. 


Cotangent 


Diff 


Tangent 


Diff. 


" 


' 


Proportional Parts 



87 20' 



SINES, COSINES, TANGENTS AND COTANGENTS 
2 40' 



17 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff. 


Cotangent 


Diff. 






Proportional Parts 


40 





0.046 6253 




0.998 9171 




0.046 6767 




21.470 401 







20 






10 


5737 


484 


9149 


22 


6243 


486 


.448 027 


22374 


50 








20 


6222 


485 


9126 


23 


6729 


486 


.425 699 


22328 


40 








30 


6706 


484 


9103 


23 


7215 


486 


.403 418 


22281 


30 








40 


7190 


484 


9081 


22 


7701 


486 


.381 183 


22235 


20 








50 


7675 


485 


9058 


23 


8187 


486 


.358 994 


22189 


10 




Sine 








484 




23 




486 




22 143 








41 



10 
20 


0.046 8159 
8643 
9127 


484 
484 


0.998 9035 
9013 
8990 


22 
23 


0.046 8673 
9159 
9644 


486 

485 


21.336 851 
.314 754 
.292 702 


22097 
22052 



50 
40 


19 


4 
1 

2 
3 


184 485 486 

48 4 48 5 48 6 
96 8 97 97 2 
45 2 145 5 145 8 




30 


9612 


485 


8967 


23 


0.047 0130 


486 


.270 696 


22006 


30 




4 


93 6 194 194 4 




40 
50 


0.047 0096 
0580 


484 
484 
485 


8944 
8922 


23 
22 
23 


0616 
1102 


486 
486 
486 


.248 735 
.226 819 


21961 
21916 
21870 


20 
10 




5 1 

6 J 

7 : 


42 242 5 243 
90 4 291 291 6 
38 8 339 5 340 2 


























8 .' 


87 2 388 388 8 


42 





0.047 1066 




0.998 8899 




0.047 1588 




21.204949 







18 


9 4 


35 6 436 5 437 4 




10 


1549 


484 


8876 


23 


2074 


486 


.183 123 


21 826 


50 








20 
30 


2033 
2517 


484 

484 


8853 
8830 


23 
23 


2560 
3046 


486 
486 


.161 342 
.139606 


21781 
21736 


40 
30 




Cosine 




40 


3002 


485 


8807 


23 


3532 


486 


.117914 


21692 


20 




22 23 24 




50 


3486 


484 

484 


8784 


23 
23 


4018 


486 
485 


.096 267 


21 647 
21603 


10 




1 

2 


22 23 24 
44 46 48 


43 



10 
20 
30 
40 
50 


0.047 3970 
4454 
4939 
5423 
5907 
6391 


484 

485 
484 
484 
484 


0.998 8761 
8738 
8715 
8692 
8669 
8646 


23 
23 
23 
23 
23 


0.047 4503 
4989 
5475 
5961 
6447 
6933 


486 
486 
486 
486 
486 


21.074 664 
.053 105 
.031 590 
.010 118 
20.988 691 
.967 307 


21559 
21515 
21472 
21427 
21384 



50 
40 
30 
20 
10 


17 


3 
4 
5 
6 

7 
8 
9 


66 69 72 
88 92 96 
11 11 5 12 
13 2 13 8 14 4 
15 4 16 1 16 8 
17 6 18 4 19 2 
19 8 20 7 21 6 








485 




23 




486 




21341 








44 



10 
20 
30 


0.047 6876 
7360 
7844 
8329 


484 
484 
485 


0.998 8623 
8600 
8577 
8554 


23 
23 
23 


0.047 7419 
7905 
8391 
8877 


486 
486 
486 


20.945 966 
.924 669 
.903 415 
.882 204 


21297 
21254 
21211 



50 
40 
30 


16 


Tangent 

See columns above 
for sine 




40 
50 


8813 
9297 


484 
484 


8530 
8507 


24 
23 


9363 
9849 


486 
486 


.861 036 
.839 910 


21 168 
21126 


20 
10 




Cotangent 








484 




23 




485 




21082 






23 000 22 000 


45 



10 


0.047 9781 
0.048 0266 


485 


0.998 8484 
8461 


23 


0.048 0334 
0820 


486 


20.818 828 
.797 787 


21041 



50 


15 


i 

2 


2 300 2 200 
4 600 4 400 




20 
30 
40 
50 


0750 
1234 
1718 
2203 


484 
484 
484 
485 


8437 
8414 
8391 
8367 


24 
23 
23 
24 


1306 
1792 
2278 
2764 


486 
486 
486 
486 


.776 790 
.755 834 
.734 921 
.714 049 


20 997 
20956 
20913 
20872 


40 
30 
20 
10 




3 
4 
5 
6 

7 


6 900 6 600 
9 200 81800 
11 500 11 000 
13 800 13 200 
16 100 15 400 








484 




23 




486 




20829 






8 


18 400 17 600 


46 





0.048 2687 




0.998 8344 




0.048 3250 




20.693 220 







14 


9 


20 700 19 800 




10 
20 


3171 
3655 


484 
484 


8320 
8297 


24 
23 


3736 
4222 


486 
486 


.672 432 
.651 686 


20 788 
20746 


50 
40 




21 000 20 000 




30 


4140 


485 


8274 


23 


4708 


486 


.630 981 


20 705 


30 




1 


2 100 2 000 




40 
50 


4624 
5108 


484 
484 
484 


8250 
8227 


24 
23 
24 


5194 
5680 


486 
486 
486 


.610318 
.589 696 


20663 
20622 
20581 


20 
10 




2 

3 
4 


4 200 4 000 
6 300 6 000 
8 400 8 000 


47 



10 


0.048 5592 
6077 


485 


0.998 8203 
8179 


24 


0.048 6166 
6652 


486 


20.669 115 
.548 575 


20540 



50 


13 


5 
6 

7 


10 500 10 000 
12 600 12 000 
14 700 14 000 




20 
30 


6561 
7045 


484 

484 


8156 
8132 


23 
24 


7138 
7624 


486 
486 


.528 076 
507 617 


20 499 
20459 


40 
30 




8 
9 


16 800 16 000 
18 900 18 000 




40 


7529 


484 


8109 


23 


8110 


486 


.487 200 


20 417 


20 








50 


8013 


484 


8085 


24 


8596 


486 


.466823 


20377 


10 




19000 








485 




24 




486 




20337 






1 1900 


48 



10 
20 
30 


0.048 8498 
8982 
9466 
9950 


484 
484 
484 


0.998 8061 
8038 
8014 
7990 


23 
24 
24 


0.048 9082 
9568 
0.049 0054 
0540 


486 
486 
486 


20.446486 
.426 190 
.405 933 
.385 717 


20296 
20257 
20216 



50 
40 
30 


12 


2 3 800 
3 5700 
4 7 600 
5 9 500 
6 11 400 




40 
50 


0.049 0435 
0919 


485 
484 
484 


7966 
7943 


24 
23 
24 


1026 
1511 


486 
485 
486 


.365 541 
.345 404 


20 176 
20137 
200% 


20 
10 




7 13 300 
8 15 200 
9 17 100 


49 





0.049 1403 




0.998 7919 




0.049 1997 




20.325 308 







11 






10 
20 


1887 
2372 


484 
485 


7895 
7871 


24 
24 


2483 
2969 


486 
486 


.305 250 
.285 232 


20 058 
20018 


50 
40 








30 


2856 


484 


7847 


24 


3455 


486 


.265 254 


19978 


30 








40 


3340 


484 


7823 


24 


3941 


486 


.245 315 


19 939 


20 








50 


3824 


484 


7799 


24 


4427 


486 


.225 415 


19 900 


10 












484 




24 




486 




19862 








60 





0.049 4308 




0.998 7776 




0.049 4913 




20.205 553 







10 








Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff. 


" 


' 


Proportional Parts 



87 10' 



18 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
2 50' 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff. 






Proportional Parts 


60 



10 
20 
30 
40 
50 


0.0494308 
4793 
5277 
5761 
6245 
6730 


485 
484 
484 

484 
485 


0.998 7775 
7752 
7728 
7703 
7679 
7655 


23 
24 
25 
24 
24 


0.049 4913 
5399 
5885 
6371 
6857 
7343 


486 
486 

486 
486 
486 


20.205 663 
.185 731 
.165 948 
.146 203 
.126 496 
.106 829 


19822 
19783 
19745 
19707 
19667 



50 
40 
30 
20 
10 


10 


2 
3 


Sine 

484 485 

48 4 48 5 
98 8 97 
145 2 145 5 








484 




24 




486 




19630 






4 


193 6 194 


61 



10 
20 
30 
40 


0.049 7214 
7698 
8182 
8666 
9151 


484 
484 
484 

485 


0.998 7631 
7607 
7583 
7559 
7535 


24 
24 
24 
24 


0.049 7829 
8316 
8802 
9288 
9774 


487 
486 
486 
486 


20.087 199 
.067608 
.048054 
.028 539 
.009061 


19591 
19554 
19515 
19478 



50 
40 
30 
20 


9 


5 
6 
7 

8 
9 


242 242 5 
290 4 291 
m 8 339 5 
387 2 388 
435 6 436 5 




50 


9635 


484 


7510 


25 


0.050 0260 


486 


19.989 622 


19439 


10 




486 487 








484 




24 




486 




19403 






1 


48 6 48 7 


52 



10 
20 
30 


0.060 0119 
0603 
1087 
1572 


484 

484 
485 


0.998 7486 
7462 
7438 
7413 


24 
24 
25 
24 


0.050 0746 
1232 
1718 
2204 


486 
486 
486 


19.970 219 
.950 855 
.931 528 
.912 238 


19364 
19327 
19290 
19 253 



50 
40 
30 


8 


2 
3 

5 
6 


97 2 97 4 
145 8 146 1 
194 4 194 8 
243 243 5 
291 6 292 2 




40 


2056 


484 


7389 




2690 


486 


.892 985 




20 




7 


340 2 340 9 




50 


2540 


484 
484 


7365 


24 
25 


3176 


486 
486 


.873 770 


19215 
19179 


10 




8 
9 


388 8 389 6 
137 4 438 3 


63 





0.060 3024 




0.9987340 




0.050 3662 




19.854 691 







7 






10 
20 


3508 
3993 


484 

485 


7316 
7291 


24 
25 


4148 
4634 


486 
486 


.835 450 
.816 345 


19 141 
19105 


50 
40 




Cosine 




30 


4477 


484 


7267 


24 


5120 


486 


.797 277 


19068 


30 




23 24 




40 


4961 


484 


7243 


24 


5606 


486 


.778 245 


19032 


20 




1 


23 24 




50 


5445 


484 
484 


7218 


25 
24 


6092 


486 
486 


.759 250 


18995 
18959 


10 




2 
3 


46 48 
69 72 


64 



10 


0.060 6929 
6414 


485 


0.998 7194 
7169 


25 


0.060 6578 
7064 


486 


19.740 291 
.721 368 


18923 



50 


6 


4 

5 
6 


92 96 
11 5 12 
13 8 14 4 




20 


6898 


484 


7144 


25 


7550 


486 


.702 482 


18886 


40 




7 


16 1 16 8 




30 
40 


7382 
7866 


484 
484 


7120 
7095 


24 
25 


8036 
8522 


486 
486 


.683632 
.664 817 


18850 
18815 


30 
20 




8 
9 


18 4 19 2 
20 7 21 6 




50 


8350 


484 


7071 


24 


9008 


486 


.646039 


18778 


10 




25 26 








485 




25 




487 




18743 








55 



10 


0.050 8835 
9319 


484 


0.998 7046 
7021 


25 


0.050 9495 
9981 


486 


19.627 296 
.608 589 


18707 



50 


5 


1 
2 
3 


25 26 
50 52 

75 78 




20 


9803 


484 


6997 


24 


0.051 0467 


486 


.589 917 


18672 


40 




4 


10 10 4 




30 
40 


0.051 0287 
0771 


484 
484 

484 


6972 
6947 


25 
25 
25 


0953 
1439 


486 
486 
486 


.571 281 
.552 680 


18636 
18601 
18 566 


30 
20 




5 
6 

7 


12 5 13 
15 15 6 
17 5 18 2 




50 


1255 




6922 




1925 




.534 114 




10 




8 


20 20 8 








485 




24 




486 




18 530 






9 


22 5 23 4 


66 





0.051 1740 




0.998 6898 




0.051 2411 




19.615 684 













10 


2224 


484 


6873 


25 


2897 


486 


.497 088 


18496 


50 








20 
30 
40 
50 


2708 
3192 
3676 
4161 


484 
484 
484 

485 


6848 
6823 
6798 
6773 


25 
25 
25 
25 


3383 
3869 
4355 
4841 


486 
486 
486 
486 


.478 628 
.460 202 
.441 811 
.423 455 


18 460 
18426 
18391 
18356 


40 
30 
20 
10 




Tangent 

See columns above 
for sine 








484 




25 




487 




18322 








67 



10 


051 4645 
5129 


484 


0.998 6748 
6723 


25 


0.061 6328 
5814 


486 


19.405 133 
.386845 


18288 



50 


3 


Cotangent 




20 


5613 


484 


6698 


25 


6300 


486 


.368 592 


18 253 


40 




20 000 19 000 




30 


6097 


484 


6673 


25 


6786 


486 


.350 373 


18 219 


30 




1 2 000 1 900 




40 
50 


6581 
7066 


484 

485 
484 


6648 
6623 


25 
25 
25 


7272 

7758 


486 
486 
486 


.332 189 
.314038 


18 184 
18151 
18116 


20 
10 




2 4 000 3 800 
3 6 000 5 700 
4 8 000 7 GOO 


68 



10 


0.061 7550 
8034 


484 


0.998 6598 
6573 


25 


0.061 8244 
8730 


486 


19.295 922 
.277 839 


18083 



50 


2 


5 10 000 9 500 
6 12 000 11 400 
7 14 000 13 300 




20 
30 


8518 
9002 


484 
484 


6548 
6523 


25 
25 


9216 
9703 


486 
487 


.259 790 
.241 775 


18049 
18015 


40 
30 




8 16 000 15 200 
9 18 000 17 100 




40 
50 


9486 
9970 


484 
484 
485 


6498 
6472 


25 
26 
25 


0.052 0189 
0675 


486 
486 
486 


.223 793 
.205 845 


17 982 
17948 
17915 


20 
10 




18 000 17 000 

1 1 800 1 700 


























2 3 600 3 400 


59 





052 0456 




0.998 6447 




0.062 1161 




19.187 930 







1 


3 5 400 5 100 




10 


0939 


484 


6422 


25 


1647 


486 


.170048 


17882 


50 




4 7 200 6 800 




20 
30 
40 


1423 
1907 
2391 


484 
484 
484 


6397 
6371 
6346 


25 
26 
25 


2133 
2619 
3106 


486 
486 
487 


.152 200 
.134385 
.116602 


17848 
17815 
17783 


40 
30 
20 




5 9 000 8 500 
6 10 800 10 200 
7 12 600 11 900 
8 14 400 13 600 




50 


2875 


484 


6321 


25 


3592 


486 


.098 853 


17749 


10 




9 16 200 15 300 








485 




26 




486 




17 716 








60 





0.052 3360 




0.998 6296 




0.052 4078 




19.081 137 
















Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff. 


Tangent 


Diff. 


" 


' 


Proportional Parts 



87 00' 



SINES, COSINES, TANGENTS AND COTANGENTS 
3 00' 



19 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff. 






Proportional Parts 






10 


0.052 3360 
3844 


484 


0.998 6296 
6270 


25 


0.062 4078 
4564 


486 


19.081 137 
.063453 


17684 



50 


60 






20 


4328 


484 


6245 


25 


5050 


486 


.045 802 


17651 


40 








30 
40 


4812 

5296 


484 
484 


6219 
6194 


26 
25 


5536 
6022 


486 
486 


.028 183 
.010 597 


17619 
17586 


30 
20 








50 


5780 


484 
484 


6168 


26 
25 


6509 


487 
486 


18.993 044 


17553 
17521 


10 




Sine 


1 



10 
20 
30 
40 
50 


0.052 6264 
6749 
7233 
7717 
8201 
8685 


485 
484 
484 
484 
484 
484 


0.998 6143 
6117 
6092 
6066 
6040 
6015 


26 
25 
26 
26 
25 
26 


0.052 6995 
7481 
7967 
8453 
8939 
9426 


486 
486 
486 
486 
487 
486 


18.976 623 
.958 033 
.940 577 
.923 152 
.905 759 
.888397 


17490 
17456 
17425 
17393 
17362 
17329 



50 
40 
30 
20 
10 


59 


1 

2 
3 
4 
5 
6 
7 


484 485 

48 4 48 5 
96 8 97 
145 2 145 5 
193 6 194 
242 242 5 
290 4 291 
338 8 339 5 


2 



10 


0.062 9169 
9653 


484 


0.998 6989 
5964 


25 


0.052 9912 
0.053 0398 


486 


18.871 068 
.853 770 


17298 



50 


58 


8 
9 


387 2 388 
435 6 436 5 




20 
30 
40 
50 


0.053 0138 
0622 
1106 
1590 


485 
484 
484 
484 
484 


5938 
5912 
5886 
5861 


26 
26 
26 
25 
26 


0884 
1370 
1856 
2343 


486 
486 

486 
487 
486 


.836504 
.819 270 
.802066 
.784 895 


17 266 
17234 
17204 
17171 
17141 


40 
30 
20 
10 




1 
2 
3 


486 487 

48 6 '48 7 
97 2 97 4 
145 8 146 1 


3 



10 
20 
30 
40 
50 


0.053 2074 
2558 
3042 
3526 
4011 
4495 


484 
484 

484 
485 
484 


0.998 5835 
5809 
5783 
5757 
5731 
5706 


26 
26 
26 
26 
25 


0.063 2829 
3315 
3801 
4287 
4774 
5260 


486 
486 
486 
487 
486 


18.767 754 
.750 645 
.733 566 
.716 519 
.699 502 
.682 517 


17109 
17079 
17047 
17017 
16985 



50 
40 
30 
20 
10 


57 


4 
5 
6 
7 
8 
9 


194 4 194 8 
243 243 5 
291 6 292 2 
340 2 340 9 
388 8 389 6 
437 4 438 3 








484 




26 




486 




16 955 






Cosine 


4 



10 
20 
30 


0.053 4979 
5463 
5947 
6431 


484 
484 

484 


0.998 6680 
5654 
5628 
5602 


26 
26 
26 


0.063 6746 
6232 
6718 
7205 


486 
486 
487 


18.666 662 
.648 638 
.631 744 
.614 881 


16924 
16894 
16863 



50 
40 
30 


56 


1 
2 

3 


25 26 27 

25 26 27 
50 52 54 
75 78 81 




40 
50 


6915 
7399 


484 
484 

484 


5576 
5550 


26 
26 
26 


7691 
8177 


486 
486 
486 


.598 048 
.581 246 


16802 
16773 


20 
10 




4 
5 

6 


10 10 4 10 8 
12 5 13 13 5 
15 15 6 16 2 


6 



10 
20 


0.063 7883 
8368 
8852 


485 
484 


0.998 6524 
5498 
5471 


26 
27 


0.053 8663 
9149 
9636 


486 
487 


18.564 473 
.547 731 
.531 019 


16742 
16712 



50 
40 


55 


7 
8 
9 


17 5 18 2 18 9 
20 20 8 21 6 
22 5 23 4 24 3 




30 
40 
50 


9336 
9820 
0.054 0304 


484 
484 
484 
484 


5445 
5419 
5393 


26 
26 
26 
26 


0.054 0122 
0608 
1094 


486 
486 
486 
487 


.514 338 
.497 686 
.481 063 


16 681 
16652 
16623 
16592 


30 
20 
10 




Tangent 

See columns above 
for sine 


6 



10 
20 
30 
40 
50 


0.054 0788 
1272 
1756 
2240 
2725 
3209 


484 
484 
484 
485 
484 


0.998 5367 
5340 
5314 
5288 
5262 
5235 


27 
26 
26 
26 
27 


0.054 1681 
2067 
2553 
3039 
3526 
4012 


486 
486 
486 
487 
486 


18.464 471 
.447 908 
.431 375 
.414 871 
398 397 
.381 952 


16563 
16533 
16504 
16474 
16445 
16 415 



50 
40 
30 
20 
10 


64 


1 
1 
2 
3 


Cotangent 

8000 17000 

1 800 1 700 
3 600 3 400 
5 400 5 100 








484 




26 




486 










4 


7 200 6 800 


7 



10 
20 
30 
40 
50 


0.054 3693 
4177 
4661 
5145 
5629 
6113 


484 
484 
484 
484 
484 
484 


0.998 6209 
5183 
5156 
5130 
5103 
5077 


26 
27 
26 
27 
26 
27 


0.054 4498 
4984 
5471 
5957 
6443 
6929 


486 
487 
486 
486 
486 
487 


18.366 637 
349 151 
.332 793 
.316465 
.300 166 
.283896 


16386 
16358 
16328 
16299 
16270 
16242 



50 
40 
30 
20 
10 


63 


5 
6 1 
7 1 
8 1 
9 1 

1 


9 000 8 500 
800 10 200 
2 600 11 900 
4 400 13 600 
6 200 15 300 

6000 15000 


8 



10 
20 
30 
40 
50 


0.054 6697 
7081 
7565 
8050 
8534 
9018 


484 
484 
485 
484 
484 


0.998 5060 
5024 
4997 
4971 
4944 
4918 


26 
27 
26 
27 
26 


0.054 7416 
7902 
8388 
8874 
9361 
9847 


486 
486 
486 
487 
486 


18.267 664 
.251 442 
.235 258 
.219 102 
.202 975 
.186877 


16212 
16184 
16156 
16127 
16098 
16 070 



50 
40 
30 
20 
10 


52 


1 

2 
3 
4 
5 
6 
7 1 
8 1 


1 600 1 500 
3 200 3 000 
4 800 4 500 
6 400 6 000 
8 000 7 500 
9 600 9 000 
1 200 10 500 
2 800 12 000 








484 




27 




486 










9 1 


4 400 13 500 


9 



10 
20 
30 
40 
50 


0.064 9602 
9986 
0.055 0470 
0954 
1438 
1922 


484 
484 
484 
484 
484 
484 


0.998 4891 
4864 
4838 
4811 
4784 
4757 


27 
26 
27 
27 
27 
26 


0.055 0333 
0820 
1306 
1792 
2278 
2765 


487 
486 
486 
486 
487 
486 


18.170 807 
.154765 
.138751 
.122 766 
.106808 
.090 879 


16042 
16014 
15985 
15958 
15929 
15902 



50 
40 
30 
20 
10 


51 




10 





0.056 2406 




0.998 4731 




0.055 3251 




18.074 977 







50 








Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parta 



86 60' 



20 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
3 10' 



' 


" 


Sine 


Diff. 


Cosine 


Diff 


Tangent 


Diff. 


Cotangent 


Diff. 






Proportional Parts 


10 





0.066 2406 




0.998 4731 




0.066 3251 




18.074 977 







50 






10 


2890 


484 


4704 


27 


3737 


486 


.059 104 


15873 


50 




Sine 




20 
30 
40 


3374 
3858 
4343 


484 
484 

485 


4677 
4650 
4623 


27 
27 
27 


4224 
4710 
5196 


487 
486 
486 


.043 258 
.027 440 
.011 649 


15846 
15818 
15791 


40 
30 
20 




484 485 

1 48 4 48 5 
2 96 8 97 




50 


4827 


484 
484 


4597 


26 
27 


5683 


487 
486 


17.995 886 


15763 
15736 


10 




3 145 2 145 5 
4 193 6 194 


11 



10 
20 


0.055 5311 
5795 
6279 


484 
484 


0.998 4570 
4543 
4516 


27 
27 


0.056 6169 
6655 
7142 


486 
487 


17.980 160 
.964442 
.948 762 


15708 
15680 



50 
40 


49 


5 242 242 5 
6 290 4 291 
7 338 8 339 5 
8 387 2 388 




30 


6763 


484 


4489 


27 


7628 


486 


.933 108 


15654 


30 




9 435 6 436 5 




40 


7247 


484 


4462 


27 


8114 


486 


.917 482 


15626 


20 








50 


7731 


484 


4435 


27 


8600 


486 


.901883 


15599 


10 




486 487 








484 




27 




487 




15573 






1 48 6 48 7 


12 



10 


0.055 8215 
8699 


484 


998 4408 
4381 


27 


055 9087 
9573 


486 


17.886 310 
.870 765 


15545 




50 


48 


2 97 2 97 4 
3 145 8 146 1 
4 194 4 194 8 




20 


9183 


484 


4353 


28 


0.056 0059 


486 


.855 247 


15518 


40 




5 243 243 5 




30 


9667 


484 


4326 


27 


0546 


487 


.839 756 


15491 


30 




6 291 6 292 2 




40 


0.056 0151 


484 


4299 


27 


1032 


486 


.824 291 


15465 


20 




7 340 2 340 9 

8 ODD OOQ ft 




50 


0635 


484 


4272 


27 


1518 


486 


.808 853 


15438 


10 




JOB O OOV 

9 437 4 438 3 








484 




27 




487 




15411 








13 





0.056 1119 




0.998 4245 




066 2006 




17.793 442 







47 






10 


1603 


484 


4218 


27 


2491 


486 


.778 057 


15385 


50 








20 
30 


2087 
2572 


484 
485 


4190 
4163 


28 
27 


2978 
3464 


487 
486 


.762 699 
.747 367 


15 358 
15332 


40 
30 




Cosine 




40 


3056 


484 


4136 


27 


3950 


486 


.732 061 


15306 


20 




26 27 28 




50 


3540 


484 
484 


4109 


27 
28 


4437 


487 
486 


.716 782 


15279 
15253 


10 




1 26 27 28 
2 52 54 56 


14 



10 


056 4024 
4508 


484 


0.998 4081 
4054 


27 


0.056 4923 
5409 


486 


17.701 629 
.686 303 


15226 



50 


46 


3 78 81 84 
4 10 4 10 8 11 2 
5 13 13 5 14 




20 


4992 


484 


4026 


28 


5896 


487 


.671 102 


15201 


40 




6 15 6 16 2 16 8 




30 
40 


5476 
5960 


484 
484 


3999 
3972 


27 
27 


6382 
6868 


486 
486 


.655 927 
.640 779 


15175 
15148 


30 
20 




7 18 2 18 9 19 6 
8 20 8 21 6 22 4 
9 23 4 24 3 25 2 




50 


6444 


484 


3944 


28 


7355 


487 


.625 656 


15 123 


10 












484 




27 




486 




15097 








16 





0.056 6928 




0.998 3917 




0.066 7841 




17.610 659 







45 






10 
20 
30 
40 


7412 
7896 
8380 
8864 


484 
484 
484 
484 


3889 
3862 
3834 
3807 


28 
27 
28 
27 


8328 
8814 
9300 
9787 


487 
486 
486 
487 


.595 488 
.580 442 
.565 422 
.550 428 


15071 
15046 
15020 
14994 


50 
40 
30 
20 




Tangent 

See columns above 
for sine 




50 


9348 


484 


3779 


28 


0.057 0273 


486 


.535 459 


14969 


10 












484 




28 




486 




14943 








16 





0.056 9832 




0.998 3751 




0.057 0769 




17.520 516 







44 


Cotangent 




10 


0.057 0316 


484 


3724 


27 


1246 


487 


.505 597 


14919 


50 




16 000 15 000 




20 


0800 


484 


3696 


28 


1732 


486 


.490 705 


14892 


40 




1 1 600 1 500 




30 


1284 


484 


3668 


28 


2219 


487 


.475 837 


14 868 


30 




2 3 200 3 000 




40 
50 


1768 
2252 


484 
484 
484 


3641 
3613 


27 
28 
28 


2705 
3191 


486 
486 
487 


.460995 
.446178 


14842 
14817 
14793 


20 
10 




3 4 800 4 500 
4 6 400 6 000 
5 8 000 7 500 


























6 9 600 9 000 


17 





0.057 2736 




0.998 3585 




0.057 3678 




17.431 386 







43 


7 11 200 10 500 




10 


3220 


484 


3557 


28 


4164 


486 


.416 618 


14 767 


50 




8 12 800 12 000 




20 


3704 


484 


3530 


27 


4651 


487 


.401 876 


14742 


40 




9 14 400 13 500 




30 
40 
50 


4188 
4672 
5156 


484 
484 
484 


3502 
3474 
3446 


28 
28 
28 


5137 
5624 
6110 


486 
487 
486 


.387 158 
.372466 
.357 798 


14 718 
14692 
14668 


30 
20 
10 




14000 

1 1 400 
2 2 800 








484 




28 




486 




14643 






3 4 200 


18 





0.057 5640 




0.998 3418 




0.057 6596 




17.343 155 







42 


4 5 600 




10 


6124 


484 


3390 


28 


7083 


487 


.328 536 


14619 


50 




5 7 000 




20 
30 
40 


6608 
7092 
7576 


484 
484 
484 


3362 
3334 
3306 


28 
28 
28 


7569 
8056 
8542 


486 
487 
486 


.313 942 
.299 372 
.284 827 


14594 
14570 
14545 



30 
20 




6 8400 
7 9800 
8 11 200 
9 12600 




50 


8060 


484 


3278 


28 


9029 


487 


.270 306 


14521 


10 












484 




28 




486 




14496 








19 





0.057 8544 




0.998 3250 




0.057 9615 




17.265 810 







41 






10 


9028 


484 


3222 


28 


0.058 0001 


486 


.241 337 


14473 


50 








20 


9512 


484 


3194 


28 


0488 


487 


.226 889 


14448 


40 








30 


9996 


484 


3166 


28 


0974 


486 


.212 465 


14424 


30 








40 


0.058 0480 


484 


3138 


28 


1461 


487 


.198 065 


14400 


20 








50 


0964 


484 


3110 


28 


1947 


486 


.183689 


14376 


10 












484 




28 




487 




14352 








20 





0.068 1448 




0.998 3082 




0.068 2434 




17.169 337 







40 








Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff. 


- 


' 


Proportional Parts 



86 40' 



SINES, COSINES, TANGENTS AND COTANGENTS 
3 20' 



21 



' 


" 


Sine 


Diff. 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff. 






Proportional Parts 


20 





0.068 1448 




0.998 3082 




0.058 2434 




17.169 337 







40 






10 


1932 


484 


3053 


29 


2920 


486 


.155 009 


14328 


50 








20 


2416 


484 


3025 


28 


3407 


487 


.140 704 


14305 


40 








30 


2900 


484 


2997 


28 


3893 


486 


.126424 


14280 


30 








40 
50 


3384 
3868 


484 
484 


2969 
2940 


28 
29 


4380 
4866 


487 
486 


.112 167 
.097 934 


14257 
14233 


20 
10 




Sine 








484 




28 




486 




14210 






483 484 


21 





0.058 4352 




0.998 2912 




0.058 5362 




17.083 724 







39 


1 48 3 48 4 




10 
20 
30 


4836 
5320 
5804 


484 
484 
484 


2884 
2855 
2827 


28 
29 
28 


5839 
6325 
6812 


487 
486 
487 


.069538 
.055 375 
.041 236 


14186 
14163 
14139 


50 
40 
30 




2 96 6 96 8 
3 144 9 145 2 
4 193 2 193 6 
5 241 5 242 




40 


6288 


484 


2799 


28 


7298 


486 


.027 120 


14116 


20 




6 289 8 290 4 




50 


6772 


484 
484 


2770 


29 
28 


7785 


487 
486 


.013 027 


14093 
14070 


10 




7 338 1 338 8 
8 386 4 387 2 


22 





0.068 7256 




0.998 2742 




0.068 8271 




16.998 957 







38 


9 434 7 435 6 




10 


7740 


484 


2713 


29 


8758 


487 


.984911 


14046 


50 








20 


8224 


484 


2685 


28 


9244 


486 


.970 888 


14023 


40 








30 
40 


8708 
9192 


484 
484 


2656 
2628 


29 
28 


9731 
0.059 0217 


487 
486 


.956 888 
.942 911 


14000 
13977 


30 
20 




Cosine 




50 


9676 


484 


2599 


29 


0704 


487 


.928 956 


13955 


10 




28 29 30 








484 




29 




486 




13931 






1 28 29 30 


23 



10 


0.059 0160 
0644 


484 


0.998 2570 
2542 


28 


0.069 1190 
1677 


487 


16.915 025 
.901 117 


13908 



50 


37 


2 56 58 60 
3 84 87 90 
4 11 2 11 6 12 




20 
30 


1128 
1612 


484 
484 


2513 
2484 


29 
29 


2163 
2650 


486 
487 


.887 231 
.873 368 


13886 
13863 


40 
30 




5 14 14 5 15 
6 16 8 17 4 18 




40 
50 


2096 
2580 


484 
484 
484 


2456 
2427 


28 
29 
29 


3136 
3623 


486 
487 
486 


.859 528 
.845 710 


13840 
13818 
13795 


20 
10 




7 19 6 20 3 21 
8 22 4 23 2 24 
9 25 2 26 1 27 


24 





0.069 3064 




0.998 2398 




0.069 4109 




16.831 915 







36 






10 


3548 


484 


2370 


28 


4596 


487 


.818 142 


13 773 


50 








20 
30 


4032 
4516 


484 
484 


2341 
2312 


29 
29 


5083 
5569 


487 
486 


.804 392 
.790664 


13750 
13728 


40 
30 




Tangent 




40 


5000 


484 


2283 


29 


6056 


487 


.776 959 


13 705 


20 




486 487 




50 


5484 


484 
483 


2254 


29 
29 


6542 


486 
487 


.763 275 


13 684 
13661 


10 




1 48 6 48 7 
2 97 2 97 4 


26 



10 
20 


0.059 5967 
6451 
6935 


484 
484 


0.998 2226 
2196 
2168 


29 
28 


0.069 7029 
7515 
8002 


486 
487 


16.749 614 
.735 976 
.722 359 


13638 
13617 



50 
40 


35 


3 145 8 146 1 
4 194 4 194 8 
5 243 243 5 
6 291 6 292 2 




30 
40 
50 


7419 
7903 
8387 


484 
484 
484 


2139 
2110 
2081 


29 
29 
29 


8488 
8975 
9461 


486 
487 
486 


.708 764 
.695 192 
.681 641 


13595 
13572 
13551 


30 
20 
10 




7 340 2 340 9 
8 388 8 389 6 
9 437 4 438 3 








484 




29 




487 




13 529 








26 





0.059 8871 




0.998 2052 




0.069 9948 




16.668 112 







34 






10 
20 


9355 
9839 


484 
484 


2023 
1993 


29 
30 


0.060 0435 
0921 


487 
486 


.654605 
.641 120 


13 507 
13485 


50 
40 




Cotangent 




30 


0.060 0323 


484 


1964 


29 


1408 


487 


.627 656 


13 464 


30 




15 000 14 000 




40 
50 


0807 
1291 


484 
484 
484 


1935 
1906 


29 
29 
29 


1894 
2381 


486 
487 
486 


.614 215 
.600 795 


13 441 
13420 
13 399 


20 
10 




1 1 500 1 400 
2 3 000 2 800 
3 4 500 4 200 


























4 G 000 5 600 


27 



10 


0.060 1776 
2259 


484 


0.998 1877 
1848 


29 


0.060 2867 
3354 


487 


16.587 396 
.574 019 


13377 



50 


33 


5 7 500 7 000 
6 9 000 8 400 




20 
30 
40 


2743 
3227 
3711 


484 
484 
484 


1819 
1789 
1760 


29 
30 
29 


3841 
4327 
4814 


487 
486 
487 


.560 664 
.547 330 
.534 017 


13 355 
13334 
13313 


40 
30 
20 




7 10 500 9 800 
8 12 000 11 200 
9 13 500 12 600 




50 


4194 


483 


1731 


29 


5300 


486 


.520 726 


13 291 


10 




13000 








484 




30 




487 




13 270 






1 1 300 


28 



10 
20 
30 
40 


0.060 4678 
5162 
5646 
6130 
6614 


484 
484 
484 
484 


0.998 1701 
1672 
1643 
1613 
1584 


29 
29 
30 
29 


0.060 5787 
6273 
6760 
7247 
7733 


486 
487 
487 
486 


16.507 456 
.494 207 
.480 979 
.467 772 
.454 587 


13249 
13228 
13207 
13185 



50 
40 
30 
20 


32 


2 2600 
3 3900 
4 5 200 
5 6500 
6 7800 
7 9 100 




50 


7098 


484 
484 


1555 


29 
30 


8220 


487 
486 


.441 422 


13 165 
13143 


10 




8 10 400 
9 11 700 


29 





0.060 7682 




0.998 1525 




0.060 8706 




16.428 279 







31 






10 


8066 


484 


1496 


29 


9193 


487 


.415 156 


13 123 


50 








20 


8550 


484 


1466 


30 


9680 


487 


.402 055 


13 101 


40 








30 
40 


9034 
9518 


484 
484 


1437 
1407 


29 
30 


0.061 0166 
0653 


486 
487 


.388 974 
.375 914 


13 081 
13060 


30 
20 








50 


0.061 0001 


483 
484 


1378 


29 
30 


1140 


487 
486 


.362 874 


13 040 
13019 


10 






30 





0.061 0485 




0.998 1348 




0.061 1626 




16.349 855 







30 








Cosine 


Diff. 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff. 


" 


' 


Proportional Parts 



86 30' 



22 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
3 30' 



' 


" 


Sine 


Diff 


Cosine 


Diff. 


Tangent 


Diff. 


Cotangent 


Diff. 






Proportional Parts 


30 



10 


0.0610485 
0969 


484 


0.998 1348 
1318 


30 


0.061 1626 
2113 


487 


16.349 865 
.336 857 


12998 



50 


30 






20 


1453 


484 


1289 


29 


2599 


486 


.323880 


12977 


40 








30 


1937 


484 


1259 


30 


3086 


487 


.310 923 


12957 


30 








40 


2421 


484 


1229 


30 


3573 


487 


.297 986 


12937 


20 








50 


2905 


484 


1200 


29 


4059 


486 


.285 070 


12916 


10 




Sine 








484 




30 




487 




12896 








31 



10 
20 


0.061 3389 
3873 
4357 


484 
484 


0.998 1170 
1140 
1110 


30 
30 


0.061 4646 
5033 
5519 


487 
486 


16.272 174 
.259 299 
.246444 


12875 
12855 



50 
40 


29 


483 484 

1 48 3 48 4 
2 96 6 96 8 
3 144 9 145 2 




30 


4841 


484 


1081 


29 


6006 


487 


.233 609 


12835 


30 




4 193 2 193 6 




40 
50 


5324 
5808 


483 
484 
484 


1051 
1021 


30 
30 
30 


6493 
6979 


487 
486 
487 


.220 794 
.208 000 


12815 
12794 
12775 


20 
10 




5 241 5 242 

6 289 8 290 4 
7 338 1 338 8 


























8 386 4 387 2 


32 





0.061 6292 




0.998 0991 




0.061 7466 




16.196 225 







28 


9 434 7 435 6 




10 


6776 


484 


0961 


30 


7953 


487 


.182471 


12754 


50 








20 
30 


7260 
7744 


484 
484 


0931 
0901 


30 
30 


8439 
8926 


486 
487 


.169 737 
.157 022 


12734 
12715 


40 
30 




Cosine 




40 


8228 


484 


0871 


30 


9413 


487 


.144327 


12695 


20 




29 30 31 




50 


8712 


484 
484 


0841 


30 
30 


9899 


486 
487 


.131 653 


12674 
12655 


10 




1 29 30 31 

2 58 60 62 


33 



10 
20 


0.061 9196 
9679 
0.062 0163 


483 
484 


0.998 0811 
0781 
0751 


30 
30 


0.062 0386 
0873 
1359 


487 
486 


16 118 998 
.106363 
.093 747 


12635 
12616 



50 
40 


27 


3 87 90 93 
4 11 6 12 12 4 
5 14 5 15 15 5 
6 17 4 18 18 6 




30 
40 
50 


0647 
1131 
1615 


484 
484 

484 


0721 
0691 
0661 


30 
30 
30 


1846 
2333 
2819 


487 
487 
486 


.081 152 
.068 575 
.056 019 


12595 
12577 
12556 


30 
20 
10 




7 20 3 21 21 7 
8 23 2 24 24 8 
9 26 1 27 27 9 








484 




30 




487 




12537 








34 



10 
20 
30 


0.0622099 
2583 
3067 
3550 


484 
484 

483 


0.998 0631 
0601 
0571 
0540 


30 
30 

31 


0.062 3306 
3793 
4279 
4766 


487 
486 
487 


16.043 482 
.030964 
.018466 
.005 988 


12518 
12498 
12478 



50 
40 
30 


26 


Tangent 

486 487 

1 48 6 48 7 
2 97 2 97 4 




40 
50 


4034 
4518 


484 
484 


0510 
0480 


30 
30 


5253 
5740 


487 
487 


15 993 528 
981088 


12460 
12440 


20 
10 




3 145 8 146 1 
4 194 4 194 8 








484 




30 




486 




12421 






5 243 243 5 


35 



10 


0.0626002 
5486 


484 


0.998 0460 
0419 


31 


0.062 6226 
6713 


487 


15.968 667 
.956 266 


12401 



50 


25 


6 291 6 292 2 
7 340 2 340 9 
8 388 8 389 6 




20 


5970 


484 


0389 


30 


7200 


487 


943884 


12382 


40 




9 437 4 438 3 




30 


6454 


484 


0359 


30 


7686 


486 


931 520 


12364 


30 








40 
50 


6937 
7421 


483 
484 


0328 
0298 


31 
30 


8173 
8660 


487 
487 


.919 176 
.906 851 


12344 
12325 


20 
10 




Cotangent 








484 




31 




487 




12 306 






13 000 12 000 


36 



10 
20 
30 
40 


0.062 7905 
8389 
8873 
9357 
9841 


484 
484 

484 
484 


0.998 0267 
0237 
0206 
0176 
0145 


30 
31 
30 
31 


0.062 9147 
9633 
0.063 0120 
0607 
1094 


486 
487 
487 
487 


15.894 645 
.882 258 
.869 989 
.857 740 
.845 509 


12287 
12269 
12249 
12231 



50 
40 
30 
20 


21 


1 1 300 1 200 
2 2 600 2 400 
3 3 QOO 3 600 
4 5 200 4 800 
5 6 500 6 000 
6 7 800 7 200 




50 


0.063 0324 


483 
484 


0115 


30 
31 


1580 


486 

487 


.833 298 


12 211 
12193 


10 




7 9 100 8 400 
8 10 400 9 600 


37 





0.0630808 




0.998 0084 




0.0632067 




15.821 105 







23 


9 11 700 10 800 




10 


1292 


484 


0054 


30 


2554 


487 


.808 930 


12 175 


50 








20 


1776 


484 


0023 


31 


3041 


487 


.796 774 


12 156 


40 




11000 




30 


2260 


484 


0.997 9992 


31 


3527 


486 


.784 637 


12 137 


30 




1 1 100 




40 
50 


2744 
3228 


484 
484 


9962 
9931 


30 
31 


4014 
4501 


487 
487 


.772 519 
.760 419 


12 118 
12100 


20 
10 




2 2 200 
3 3300 
4 4 400 








483 




31 




487 




12082 








38 



10 
20 
30 


0.063 3711 
4195 
4679 
5163 


484 
484 
484 


0.997 9900 
9870 
9839 
9808 


30 
31 
31 


0.063 4988 
5474 
5961 
6448 


486 
487 
487 


15.748 337 
.736 274 
.724 229 
.712 203 


12063 
12045 
12026 



50 
40 
30 


22 


5 5 500 
6 6600 
7 7 700 
8 8800 
9 9900.0 




40 


5647 


484 


9777 


31 


6935 


487 


.700 195 


12008 


20 








50 


6131 


484 


9746 


31 


7422 


487 


.688 205 


11 990 


10 












483 




30 




486 




11972 








39 





0.063 6614 




0.997 9716 




0.0637908 




15.676 233 







21 






10 


7098 


484 


9685 


31 


8395 


487 


.664280 


11953 


50 








20 


7582 


484 


9654 


31 


8882 


487 


.652 345 


11935 


40 








30 


8066 


484 


9623 


31 


9369 


487 


.640 427 


11918 


30 








40 


8550 


484 


9592 


31 


9856 


487 


.628 528 


11899 


20 








50 


9034 


484 


9561 


31 


0.064 0342 


486 


.616 647 


11881 


10 












483 




31 




487 




11863 








40 





0.063 9617 




0.997 9630 




0.0640829 




15.604 784 







20 








Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff. 


" 


' 


Proportional Parts 



86 20' 



SINES, COSINES, TANGENTS AND COTANGENTS 
3 40' 



23 



' 


" 


Sine 


Diff. 


Cosine 


Diff. 


Tangent 


Diff 


Cotangent 


Diff. 






Proportional Parta 


40 





0.063 9617 




0.997 9630 




0.0640829 




16.604 784 







20 






10 


0.064 0001 


484 


9499 


31 


1316 


487 


.592 939 


11845 


50 








20 


0485 


484 


9468 


31 


1803 


487 


.581 112 


11 827 


40 








30 


0969 


484 


9437 


31 


2290 


487 


.569 302 


11810 


30 








40 


1453 


484 


9406 


31 


2776 


486 


.557511 


11791 


20 








50 


1936 


483 
484 


9375 


31 
32 


3263 


487 
487 


.545 737 


11774 
11756 


10 




Sine 


41 





0.0642420 




0.997 9343 




0.064 3760 




16.633 981 







19 


483 484 




10 


2904 


484 


9312 


31 


4237 


487 


.522 242 


11739 


50 




1 48 3 48 4 




20 
30 


3388 
3872 


484 

484 


9281 
9250 


31 
31 


4724 
5210 


487 
486 


.510 521 
.498 818 


11721 
11703 


40 
30 




2 96 6 96 8 
3 144 9 145 2 
4 193 2 193 6 




40 
50 


4355 
4839 


483 
484 


9219 
9187 


31 
32 


5697 
6184 


487 
487 


.487 133 
.475 465 


11 685 
11668 


20 
10 




5 241 5 242 

6 289 8 290 4 








484 




31 




487 




11651 






7 338 1 338 8 


42 



10 


0.064 6323 
5807 


484 


0.997 9166 
9125 


31 


0.064 6671 
7158 


487 


16.463 814 
.452 181 


11633 



50 


18 


8 386 4 387 2 
9 434 7 435 6 




20 


6291 


484 


9094 


31 


7645 


487 


.440 565 


11 616 


40 








30 


6774 


483 


9062 


32 


8132 


487 


.428 967 


11 598 


30 








40 
50 


7258 
7742 


484 
484 


9031 
8999 


31 
32 


8618 
9105 


486 
487 


.417 386 
.405 822 


11581 
11564 


20 
10 




Cosine 








484 




31 




487 




11 546 






31 32 33 


43 





0.064 8226 




0.997 8968 




0.064 9592 




16.394 276 







17 


1 31 32 33 




10 
20 
30 
40 


8710 
9193 
9677 
0.065 0161 


484 
483 
484 
484 


8937 
8905 
8874 
8842 


31 
32 
31 
32 


0.065 0079 
0566 
1053 
1540 


487 
487 
487 
487 


.382 747 
.371 235 
.359 740 
348 262 


11 529 
11512 
11495 
11478 


50 
40 
30 
20 




2 62 64 66 
3 93 96 99 
4 12 4 12 8 13 2 
5 15 5 16 16 5 
6 18 6 19 2 19 8 




50 


0645 


484 
484 


8811 


31 
32 


2026 


486 
487 


.336 802 


11460 
11444 


10 




7 21 7 22 4 23 1 

8 24 8 25 6 26 4 


44 





0.066 1129 




0.997 8779 




0.066 2613 




16.326 368 







16 


9 27 9 28 8 29 7 




10 


1612 


483 


8747 


32 


3000 


487 


.313 931 


11427 


50 








20 


2096 


484 


8716 


31 


3487 


487 


.302 522 


11409 


40 








30 
40 


2580 
3064 


484 
484 


8684 
8653 


32 

31 


3974 
4461 


487 
487 


.291 129 

.279 753 


11 393 
11376 


30 
20 




Tangent 




50 


3548 


484 


8621 


32 


4948 


487 


.268 394 


11359 


10 




486 487 








483 




32 




487 




11342 






1 48 6 48 7 


46 



10 
20 
30 


0.066 4031 
4515 
4999 
5483 


484 
484 
484 


0.997 8689 
8558 
8526 
8494 


31 
32 
32 


0.066 6436 
5922 
6408 
6895 


487 
486 
487 


16.267 062 
.245 726 
.234 417 
223 125 


11326 
11309 
11292 



50 
40 
30 


16 


2 97 2 97 4 
3 145 8 146 1 
4 194 4 194 8 
5 243 243 5 
6 291 6 292 2 




40 
50 


5966 
6450 


483 
484 
484 


8462 
8430 


32 
32 
31 


7382 
7869 


487 
487 
487 


.211 850 
.200 591 


11275 
11259 
11242 


20 
10 




7 340 2 340 9 
8 388 8 389 6 
9 437 4 438 3 


46 





0.066 6934 




0.997 8399 




0.066 8366 




16.189 349 







14 






10 


7418 


484 


8367 


32 


8843 


487 


.178 123 


11 226 


50 








20 
30 
40 
50 


7901 
8385 
8869 
9353 


483 
484 
484 
484 
483 


8335 
8303 
8271 
8239 


32 
32 
32 
32 
32 


9330 
9817 
066 0304 
0791 


487 
487 
487 
487 
487 


.166914 
.155 722 
.144 545 
.133 385 


11209 
11192 
11177 
11160 
11143 


40 
30 
20 
10 




Cotangent 

12 000 11 000 

1 1 200 1 100 
2 2 400 2 200 


























3 3 600 3 300 


47 



10 
20 
30 
40 
50 


0.066 9836 
0.066 0320 
0804 
1288 
1772 
2255 


484 
484 
484 
484 
483 


0.997 8207 
8175 
8143 
8111 
8079 
8047 


32 
32 
32 
32 
32 


0.066 1278 
1765 
2251 
2738 
3225 
3712 


487 
486 
487 
487 
487 


16.122 242 
.111 115 
.100004 
.088 909 
.077 831 
.066 769 


11127 
11111 
11095 
11078 
11062 



50 
40 
30 
20 
10 


13 


4 4 800 4 400 
5 fi 000 5 500 
7 200 6 600 
7 8 400 7 700 
8 9 600 8 800 
9 10 800 9 900 








484 




32 




487 




11 046 








48 



10 
20 


0.066 2739 
3223 

3706 


484 
483 


0.997 8015 
7983 
7950 


32 
33 


0.066 4199 
4686 
5173 


487 
487 


15.055 723 
.044693 
.033 679 


11030 
11014 



50 
40 


12 


10000 

1 1 000 
2 2 000 
3 3 000 




30 


4190 


484 


7918 


32 


5660 


487 


.022 681 


10 998 


30 




4 4000 




40 
50 


4674 
5158 


484 
484 

483 


7886 
7854 


32 
32 
33 


6147 
6634 


487 
487 
487 


.011 699 
.000 733 


10 982 
10966 
10949 


20 
10 




5 5000 
6 6 000 
7 7 000 
8 8 000 


49 





0.066 6641 




0.997 7821 




0.066 7121 




14.989 784 







11 


9 9000 




10 


6125 


484 


7789 


32 


7608 


487 


.978 850 


10 934 


50 








20 


6609 


484 


7757 


32 


8095 


487 


.967 931 


10 919 


40 








30 


7093 


484 


7725 


32 


8582 


487 


.957 029 


10902 


30 








40 


7576 


483 


7692 


33 


9069 


487 


.946143 


10 886 


20 








50 


8060 


484 
484 


7660 


32 
33 


9556 


487 
487 


.935 272 


10 871 
10855 


10 






60 





0.0668644 




0.997 7627 




0.067 0043 




14.924 417 







10 








Cosine 


Diff. 


Sine 


Diff. 


Cotangent 


Diff 


Tangent 


Diff. 


" 


' 


Proportional Parts 



86 10' 



24 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
3 60' 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff. 






Proportional Parts 


50 





0.0668644 




0.997 7627 




0.0670043 




14.924 417 







10 






10 


9028 


484 


7595 


32 


0530 


487 


.913 578 


10839 


50 








20 


9511 


483 


7563 


32 


1017 


487 


.902754 


10824 


40 








30 


9995 


484 


7530 


33 


1504 


487 


.891946 


10808 


30 








40 


0.067 0479 


484 


7498 


32 


1991 


487 


.881 154 


10792 


20 








50 


0962 


483 


7465 


33 


2478 


487 


.870 377 


10777 


10 












484 




32 




487 




10761 








51 





0.067 1446 




0.997 7433 




0.067 2966 




14.869 616 







9 


Sine 




10 


1930 


484 


7400 


33 


3452 


487 


.848870 


10746 


50 




483 484 




20 


2414 


484 


7367 


33 


3939 


487 


.838 139 


10731 


40 




1 


48 3 48 4 




30 


2897 


483 


7335 


32 


4426 


487 


.827 424 


10715 


30 




2 


96 6 96 8 




40 
50 


3381 
3865 


484 
484 
484 


7302 
7269 


33 
33 
32 


4913 
5400 


487 
487 
487 


.816 725 
.806041 


10699 
10684 
10669 


20 
10 




3 
4 

5 


144 9 145 2 
193 2 193 6 
241 5 242 


52 





0.067 4349 




0.997 7237 




0.067 6887 




14.796 372 







8 


6 

7 


289 8 290 4 
338 1 338 8 




10 
20 


4832 
5316 


483 
484 


7204 
7171 


33 
33 


6374 
6861 


487 
487 


.784 718 
.774 080 


10654 
10638 


50 
40 




8 
9 


386 4 387 2 
434 7 435 6 




30 


5800 


484 


7139 


32 


7348 


487 


.763 457 


10623 


30 








40 


6283 


483 


7106 


33 


7835 


487 


.752 849 


10608 


20 




Cosine 




50 


6767 


484 
484 


7073 


33 
33 


8322 


487 
487 


.742 256 


10593 
10577 


10 




32 33 34 


53 



10 


0.067 7251 
7734 


483 


0.997 7040 
7007 


33 


0.0678809 
9296 


487 


14.731 679 
.721 116 


10563 



50 


7 


1 

2 
3 


32 33 34 
64 66 68 
96 9 9 10 2 




20 


8218 


484 


6974 


33 


9783 


487 


.710 569 


10547 


40 




4 1 


28 13 2 13 6 




30 
40 
50 


8702 
9186 
9669 


484 
484 

483 


6942 
6909 
6876 


32 
33 
33 


0.068 0270 
0757 
1245 


487 
487 
488 


.700036 
.689 519 
.679 017 


10533 
10517 
10502 


30 
20 
10 




5 

6 

7 i 
8 i 


60 16 5 17 
92 19 8 20 4 
12 4 23 1 23 8 
15 6 26 4 27 2 








484 




33 




487 




10488 






9 i 


88 29 7 30 6 


54 





0.068 0153 




0.9976843 




0.068 1732 




14.668 629 







6 






10 
20 


0637 
1120 


484 
483 


6810 
6777 


33 
33 


2219 
2706 


487 
487 


.658 057 
.647 599 


10472 
10458 


50 
40 




Tangent 




30 


1604 


484 


6744 


33 


3193 


487 


.637 156 


10443 


30 




487 488 




40 


2088 


484 


6711 


33 


3680 


487 


.626 728 


10428 


20 




i 


48 7 48 8 




50 


2571 


483 
484 


6678 


33 
33 


4167 


487 
487 


.616315 


10413 
10399 


10 




2 
3 


97 4 97 6 
146 1 146 4 


55 



10 
20 


0.068 3055 
3539 
4022 


484 

483 


0.997 6645 
6611 
6578 


34 
33 


0.0684664 
5141 
5628 


487 
487 


14.606 916 
.595 533 
.585 163 


10383 
10370 



50 
40 


6 


4 
5 
6 

7 


194 8 195 2 
243 5 244 
292 2 292 8 
340 9 341 6 




30 
40 


4506 
4990 


484 
484 


6545 
6512 


33 

33 


6115 
6602 


487 
487 


.574 809 
.564469 


10354 
10340 


30 
20 




8 
9 


389 6 390 4 

438 3 439 2 




50 


5473 


483 


6479 


33 


7090 


488 


.554144 


10325 


10 












484 




34 




487 




10311 






Cotangent 


56 



10 
20 
30 


0.068 5967 
6441 
6924 
7408 


484 

483 
484 


0.997 6446 
6412 
6379 
6346 


33 
33 
33 


0.068 7677 
8064 
8551 
9038 


487 
487 
487 


14.643833 
.533537 
.523 255 
.512 988 


10296 
10282 
10267 



50 
40 
30 


>4 


i 

2 
3 


11 000 10 000 

1100 1000 
2200 2000 
3300 3000 




40 


7892 


484 


6312 


34 


9525 


4S7 


.502 735 


10253 


20 




4 


4400 4000 




50 


8375 


483 
484 


6279 


33 
34 


0.069 0012 


487 
487 


.492 497 


10238 
10224 


10 




5 
6 


5500 5000 
6600 6000 


57 



10 


0.068 8869 
9343 


484 


0.997 6245 
6212 


33 


0.069 0499 
0986 


487 


14.482 273 
.472064 


10209 



50 


3 


7 
8 
9 


7700 7000 
8800 8000 
9COO 9000 




20 


9826 


483 


6179 


33 


1474 


488 


.461868 


10196 


40 








30 
40 
50 


0.069 0310 
0794 
1277 


484 
484 

483 


6145 
6112 
6078 


34 
33 
34 


1961 
2448 
2935 


487 
487 
487 


.451 687 
.441 521 
.431 368 


10181 
10166 
10153 


30 
20 
10 




9000 

1 900 
2 18000 








484 




33 




487 




10138 






3 2700 


68 





0.069 1761 




0.997 6045 




0.069 3422 




14.421 230 







2 


4 3600 




10 
20 
30 


2245 
2728 
3212 


484 
483 
484 


6011 
5978 
5944 


34 
33 
34 


3909 
4396 
4884 


487 
487 
488 


.411 105 
.400995 
.390900 


10125 
10110 
10095 


50 
40 
30 




5 4500 
6 54000 
7 63000 
8 7200 




40 


3696 


484 


5910 


34 


5371 


487 


.380 818 


10082 


20 




9 81000 




50 


4179 


483 


5877 


33 


5858 


487 


.370 750 


10068 


10 












484 




34 




487 




10054 








59 





0.069 4663 




0.997 5843 




0.069 6345 




14.360 696 







1 






10 


5147 


484 


5809 


34 


6832 


487 


.350 656 


10040 


50 








20 


5630 


483 


5776 


33 


7319 


487 


.340631 


10025 


40 








30 


6114 


484 


5742 


34 


7807 


488 


.330 619 


10012 


30 








40 


6597 


483 


5708 


34 


8294 


487 


.320 621 


9998 


20 








50 


7081 


484 


5674 


34 


8781 


487 


.310 637 


9984 


10 












484 




33 




487 




9971 








60 





0.069 7565 




0.997 5641 




0.069 9268 




14.300666 
















Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff. 


" 


' 


Proportional Parts 



86 00' 



SINES, COSINES, TANGENTS AND COTANGENTS 
4 00' 



25 



' 


" 


Sine 


Diff 


Cosine 


Diff. 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 








0.069 7666 




0.997 6641 




0.069 9268 




14.300 666 







60 








10 


8048 


483 


5607 


34 


9755 


487 


.290 710 


9 953 


50 










20 


8532 


484 


5573 


34 


0.070 0242 


487 


.280 767 


9943 


40 






Sine 




30 


9016 


484 


5539 


34 


0730 


488 


.270 838 


9 929 


30 






483 484 




40 


9499 


483 


5505 


34 


1217 


487 


.260 923 


9915 


20 




1 


48 3 48 4 




50 


9983 


484 


5471 


34 


1704 


487 


.251 022 


9901 


10 




2 


96 6 96 8 








484 




34 




487 




9888 






3 


144 9 145 2 


1 



10 
20 


0.070 0467 
0950 
1434 


483 
484 


0.997 5437 
5403 
5369 


34 
34 


0.070 2191 
2678 
3166 


487 
488 


14.241 134 
.231 260 
.221 399 


9874 
9861 



50 
40 


59 


4 

5 
6 

7 


193 2 193 6 
241 5 242 
289 8 290 4 
338 1 338 8 




30 


1917 


483 


5335 


34 


3653 


487 


.211 552 


9847 


30 




8 


386 4 387 2 




40 


2401 


484 


5301 


34 


4140 


487 


.201 719 


9833 


20 




9 


434 7 435 6 




50 


2885 


484 


5267 


34 


4627 


487 


.191 899 


9820 


10 














483 




34 




488 




9807 










2 



10 


0.070 3368 
3852 


484 


997 6233 
5199 


34 


0.070 5116 
5602 


487 


14.182 092 
.172300 


9792 



50 


68 




Cosine 




20 


4335 


483 


5165 


34 


6089 


487 


.162 520 


9 780 


40 




34 35 36 




30 
40 


4819 
5303 


484 
484 


5131 
5096 


34 
35 


6576 
7063 


487 
487 


.152 754 
.143 001 


9766 
9753 


30 
20 




1 

2 
3 1 


34 35 36 

68 70 72 
02 10 5 10 8 




50 


5786 


483 


5062 


34 


7551 


488 


.133 262 


9739 


10 




4 1 


36 14 14 4 








484 




34 




487 




9726 






5 1 


70 17 5 18 


3 





0.070 6270 




0.997 6028 




0.070 8038 




14.123 536 







67 


6 2 


04 21 21 6 




10 
20 
30 


6753 
7237 
7721 


483 
484 
484 


4994 
4959 
4925 


34 
35 
34 


8525 
9012 
9500 


487 
487 
488 


.113 824 
.104 124 
094438 


9 712 
9700 
9686 


50 
40 
30 




7 2 
8 2 
9 3 


38 24 5 25 2 
72 28 28 8 
06 31 5 32 4 




40 


8204 


483 


4891 


34 


9987 


487 


.084 765 


9 673 


20 










50 


8688 


484 
483 


4856 


35 
34 


0.071 0474 


487 
487 


.075 106 


9659 
9647 


10 






Tangent 


4 



10 


0.070 9171 
9655 


484 


0.997 4822 
4788 


34 


0.071 0961 
1449 


488 


14.065 459 
.055 826 


9633 



50 


56 


1 


487 488 

48 7 48 8 




20 


0.071 0139 


484 


4753 


35 


1936 


487 


046 206 


9 620 


40 




2 


97 4 97 6 




30 
40 
50 


0622 
1106 
1589 


483 
484 
483 
484 


4719 
4684 
4650 


34 
35 
34 
35 


2423 
2911 
3398 


487 
488 
487 
487 


036 599 
.027 005 
.017 424 


9607 
9594 
9581 
9568 


30 
20 
10 




3 
4 
5 
6 

7 


146 1 146 4 
194 8 195 2 
243 5 244 
292 2 292 8 
340 9 341 6 


5 





0.071 2073 




0.997 4615 




0.071 3885 




14.007 866 







55 


8 


389 6 390 4 




10 


2557 


484 


4581 


34 


4372 


487 


13.998301 


9 555 


50 




9 


438 3 439 2 




20 


3040 


483 


4546 


35 


4860 


488 


.988 759 


9 542 


40 










30 


3524 


484 


4512 


34 


5347 


487 


.979 229 


9 530 


30 










40 
50 


4007 
4491 


483 
484 
483 


4477 
4442 


35 
35 
34 


5834 
6322 


487 
488 
487 


.969 713 
960 210 


9 516 
9503 
9491 


20 
10 




Cotangent 

10 000 9900 9800 


6 



10 


071 4974 
5458 


484 
484 


0.997 4408 
4373 


35 
35 


0.071 6809 
7296 


487 
488 


13.960 719 
941 242 


9477 
9 465 



50 


54 


1 1000 990 980 
2 2000 1980 1960 
3 3000 2970 2940 




20 


5942 




4338 




7784 




931 777 




40 




4 4000 3960 3920 




30 


6425 


483 


4304 


34 


8271 


487 


.922 325 


9 452 


30 




5 5000 4950 4900 




40 
50 


6909 
7392 


484 
483 
484 


4269 
4234 


35 
35 
35 


8758 
9245 


487 
487 
488 


.912 886 
.903 459 


9 439 
9427 
9 414 


20 
10 




6 6000 5940 5880 
7 7000 6930 6860 
8 8000 7920 7840 


























9 90()( 


) 8910 8820 


7 





0.071 7876 




0.997 4199 




0.071 9733 




13.894 045 







53 








10 


8359 


483 


4165 


34 


072 0220 


487 


884644 


9401 


50 




9700 9600 9500 




20 


8843 


484 


4130 


35 


0707 


487 


.875 255 


9389 


40 




1 970 960 950 




30 
40 
50 


9327 
9810 
072 0294 


484 
483 
484 
483 


4095 
4060 
4025 


35 
35 
35 
35 


1195 
1682 
2169 


488 
487 
487 
488 


.865 879 
.856 516 
.847 165 


9 376 
9363 
9351 
9338 


30 
20 
10 




2 1940 1920 1900 
3 2910 2880 2850 
4 3880 3840 3800 
5 4850 4800 4750 


























6 582f 


) o />7fin o 5700 n 


8 





0.072 0777 




0.997 3990 




0.072 2657 




13.837 827 







52 


7 6790 6720 6650 




10 
20 


1261 
1744 


484 
483 


3955 
3920 


35 
35 


3144 
3632 


487 
488 


.828 501 
.819 188 


9 326 
9313 


50 
40 




8 7760 7680 7600 
9 8730 8640 8550 




30 
40 
50 


2228 
2711 
3195 


484 
483 
484 


3885 
3850 
3815 


35 
35 
35 


4119 
4606 
5094 


487 
487 
488 


.809 887 
.800 599 
.791 323 


9301 
9288 
9276 


30 
20 
10 




9400 9300 9200 

1 940 930 920 
2 1880 1860 1840 








483 




35 




487 




9 263 






3 2820 2790 2760 


9 





0.072 3678 




0.997 3780 




0.072 6581 




13.782 060 







51 


4 3760 3720 3680 




10 
20 
30 


4162 
4646 
5129 


484 
484 
483 


3745 
3710 
3675 


35 
35 
35 


6068 
6556 
7043 


487 
488 
487 


.772 809 
.763 570 
.754 343 


9251 
9239 
9227 


50 
40 
30 




5 4700 4650 4600 
6 5640 5580 5520 
7 6580 6510 6440 
8 7520 7440 7360 




40 


5613 


484 


3640 


35 


7530 


487 


.745 129 


9 214 


20 




9 8460 8370 8280 




50 


6096 


483 


3604 


36 


8018 


488 


.735 927 


9 202 


10 














484 




35 




487 




9 189 










10 





0.072 6580 




0.997 3669 




0.072 8605 




13.726 738 







50 










Cosine 


Diff. 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



85 60' 



26 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
4 10' 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff. 






Proportional Parts 


10 



10 


0.072 6580 
7063 


483 


0.997 3569 
3534 


35 


0.072 8605 
8993 


488 


13.726 738 
.717 560 


9178 



50 


60 


Sine 




20 


7547 


484 


3499 


35 


9480 


487 


.708 395 


9165 


40 




483 484 




30 
40 
50 


8030 
8514 
8997 


484 
483 
484 


3463 
3428 
3393 


36 
35 
35 
36 


9967 
0.073 0455 
0942 


487 
488 

487 
488 


.699 242 
.690 101 
.680 973 


9153 
9141 
9128 
9117 


30 
20 
10 




1 

2 
3 
4 
5 


48 3 48 4 
96 6 96 8 
144 9 145 2 
193 2 193 6 
241 5 242 


11 



10 
20 


0.072 9481 
9964 
0.073 0448 


483 
484 
483 


0.997 3367 
3322 
3287 


35 
35 


0.073 1430 
1917 
2404 


487 
487 


13.671 856 
.662 751 
.653 659 


9105 
9092 



50 
40 


49 


6 

8 
9 


289 8 290 4 
338 1 338 8 
386 4 387 2 
434 7 43S fi 




30 


0931 


484 


3251 


ar 


2892 


488 


.644578 


9081 


30 








40 


1415 


483 


3216 


30 


3379 


487 


.635 510 


9068 


20 




Cosine 




50 


1898 


484 


3180 


36 

35 


3867 


488 
487 


.626 453 


9057 
9044 


10 




35 36 37 


12 



10 
20 


0.073 2382 
2865 
3349 


483 
484 
483 


997 3145 
3109 
3074 


36 
35 


073 4354 
4842 
5329 


488 
487 


13.617 409 
.608 376 
.599 356 


9033 
9020 



50 
40 


48 


1 

2 
3 
4 


35 36 37 
70 72 74 
10 5 10 8 11 1 
110 14 4 14 8 




30 


3832 


484 


3038 


36 


5816 


487 


.590 347 


9009 


30 




5 


17 5 18 18 5 




40 
50 


4316 
4800 


484 
483 


3003 
2967 


35 
36 
36 


6304 
6791 


488 
487 
488 


.581 350 
.572 365 


8997 
8985 
8974 


20 
10 




6 

7 
8 
9 


21 21 6 22 2 
24 5 25 2 25 9 
28 28 8 29 6 

41 .1 39 A. <W 3 


13 





0.073 6283 


484 


0.997 2931 




0.073 7279 




13.563 391 







47 






10 
20 
30 
40 
50 


5767 
6250 
6734 
7217 
7700 


483 
484 
483 
483 
484 


2896 
2860 
2824 
2789 
2753 


35 
36 
36 
35 
36 


7766 
8254 
8741 
9229 
9716 


487 
488 
487 
488 
487 


.554 430 
.545 480 
.536 542 
.527 616 
.518 701 


8961 
8950 
8938 
8926 
8915 


50 
40 
30 
20 
10 




1 

2 


Tangent 

487 488 

48 7 48 8 
97 4 97 6 
146 1 146 4 












36 




487 




8902 






4 


191 8 195 2 


14 





0.073 8184 


483 


997 2717 




074 0203 




13.609 799 







46 


5 


243 5 244 




10 
20 
30 


8667 
9151 
9634 


484 
483 
484 


2681 
2645 
2610 


36 
36 
35 


0691 
1178 
1666 


488 
487 
488 


500 907 
.492 028 
483 160 


8892 
8879 
8868 


50 
40 
30 




C 

8 
9 


292 2 292 8 
340 9 341 6 
389 6 390 4 
438 3 439 2 




40 


0.0740118 


483 


2574 


36 


2153 


487 


.474 303 


8857 


20 








50 


0601 


484 


2538 


36 
36 


2641 


488 
487 


.465 459 


8844 
8834 


10 




Cotangent 


16 



10 
20 


0.074 1085 
1568 
2052 


483 
484 
483 


0.997 2602 
2466 
2430 


36 
36 


0.074 3128 
3616 
4103 


488 
487 


13.456 625 
.447804 
.438 993 


8821 
8811 



50 
40 


45 


i 

2 
3 


9200 9100 

920 910 
1840 1820 
2760 2730 




30 


2535 


484 


2394 


36 


4591 


488 


.430 194 


8799 


30 




4 


3080 3640 




40 
50 


3019 
3502 


483 
484 


2358 
2322 


36 
36 
36 


5078 
5566 


487 
488 
487 


.421 407 
.412 631 


8787 
8776 
8764 


20 
10 




5 
6 

7 
8 


4600 4550 
5520 5460 
6440 6370 
7300 7280 


16 





0.074 3986 


483 


0.997 2286 




0.074 6053 




13.403 867 







44 


> 
" 


8280 8190 




10 


4469 


484 


2250 


36 


6541 


488 


.395 114 


8753 


50 








20 


4953 




2214 


36 


7028 


487 


.386 372 


8742 


40 




9000 8900 




30 
40 
50 


5436 
5920 
6403 


484 
483 
484 


2178 
2141 
2105 


36 
37 
36 
36 


7516 
8003 
8491 


488 
487 
488 
188 


.377 641 
368 922 
.360 214 


8731 
8719 
8708 


30 
20 
10 




1 

2 
3 
4 


900 890 
1800 1780 
2700 2670 
3600 3560 




















8 696 






5 


4500 4450 


17 





0.074 6887 


483 


997 2069 




074 8979 




13.361 618 







43 


6 


5400 5340 




10 
20 
30 


7370 
7853 
8337 


483 
484 
483 


2033 
1997 
1960 


36 
36 
37 


9466 
9954 
0.075 0441 


487 
488 
487 


.342 833 
334 159 
.325 496 


8685 
8674 
8663 


50 
40 
30 




7 
8 
9 


6300 6230 
7200 7120 
8100 8010 




40 


8820 


484 


1924 


36 


0929 


488 


.316 844 


8652 


20 




8800 8700 




50 


9304 


483 


1888 


36 


1416 


487 


.308 203 


8641 


10 




1 


880 870 












37 




488 




8629 






2 


1760 1740 


18 



10 
20 
30 


0.074 9787 
075 0271 
0754 
1238 


484 
483 
484 


997 1851 
1815 
1779 
1742 


36 
36 

37 


0.075 1904 
2391 
2879 
3366 


487 
488 
487 


13.299 574 
290 956 
.282 349 
.273 753 


8618 
8607 
85% 



50 
40 
30 


42 


3 
4 
5 
6 

7 


2640 2610 
3520 3480 
4400 4350 
5280 5220 
6160 6090 




40 
50 


1721 
2204 


483 
484 


1706 
1669 


36 
37 
36 


3854 
4342 


488 
488 
487 


.265 168 
256594 


8585 
8574 
8563 


20 
10 




8 
9 


7040 6960 
7920 7830 


19 



10 
20 


0.075 2688 
3171 
3655 


483 
484 
483 


0.997 1633 
1596 
1560 


37 
36 


0.075 4829 
5317 
5804 


488 
487 


13.248 031 
.239 479 
230 938 


8552 
8541 



50 
40 


41 


1 

2 
3 


8600 8500 

860 850 
1720 1700 
2580 2550 




30 


4138 




1523 


37 


6292 


488 


.222 408 


8530 


30 




4 


3440 3400 




40 
50 


4622 
5105 


483 
484 


1487 
1450 


36 
37 
37 


6780 
7267 


488 
487 
488 


.213 889 
.205 380 


8519 
8509 
8497 


20 
10 




5 
6 
7 



4300 4250 
5160 5100 
6020 5950 
6880 6800 


20 





0.075 5589 




0.997 1413 




0.075 7756 




13.196 883 







40 


9 


7740 7650 






Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff. 


Tangent 


Diff 


" 


' 


Proportional Parts 



86 40' 



SINES, COSINES, TANGENTS AND COTANGENTS 



27 



4 20' 



' 


" 


Sine 


Diff 


Cosine 


Diff. 


Tangent 


Diff. 


Cotangent 


Diff. 






Proportional Parts 


20 





0.076 5689 




0.997 1413 




0.075 7765 




13.196 883 







40 


Sine 




10 
20 
30 


6072 
6555 
7039 


483 

483 
484 


1377 
1340 
1303 


36 
37 
37 


8242 
8730 
9217 


487 
488 
487 


.188397 
.179 921 
.171 456 


8 486 
8476 
8465 


50 
40 
30 




1 

2 


483 484 

48 3 48 4 
90 6 96 8 




40 


7522 


483 


1267 


36 


9705 


488 


.163002 


8 454 


20 




3 


144 9 145 2 




50 


8006 


484 

483 


1230 


37 
37 


0.076 0193 


488 
487 


.154 559 


8443 
8432 


10 




4 

5 


193 2 193 6 
241 5 242 


21 



10 


0.076 8489 
8972 


483 


997 1193 
1156 


37 


0.076 0680 
1168 


488 


13.146 127 
.137 705 


8422 



50 


39 


6 
7 

8 


289 8 290 4 
338 1 338 8 
386 4 387 2 




20 


9456 


484 


1120 


36 


1656 


488 


.129 294 


8411 


40 




9 


434 7 435 6 




30 


9939 


483 


1083 


37 


2143 


487 


.120 894 


8 400 


30 








40 


0.076 0423 


484 


1046 


37 


2631 


488 


.112504 


8390 


20 




Cosine 




50 


0906 


483 


1009 


37 


3118 


487 


.104 125 


8 379 


10 




36 37 38 








484 




37 




488 




8 368 








22 





0.076 1390 




0.997 0972 




0.076 3606 




13 095 757 







38 


1 

2 


36 37 38 
72 74 76 




10 


1873 


483 


0935 


37 


4094 


488 


.087 399 


8 358 


50 




3 I 


08 11 1 11 4 




20 
30 
40 


2356 
2840 
3323 


483 
484 
483 


0898 
0861 
0824 


37 
37 
37 


4581 
5069 

5557 


487 
488 
488 


.079 052 
.070 716 
.062 390 


8 347 
8336 
8326 


40 
30 
20 




4 ] 
5 

6 : 

1 . 


4 4 14 8 15 2 
80 18 5 19 
1 b 22 2 22 8 
5 2 25 9 26 6 




50 


3807 


484 


0787 


37 


6044 


487 


.054 074 


8 316 


10 




8 1 


8 8 29 6 30 4 








483 




37 




488 




8 305 






9 L 


2 t 33 3 34 2 


23 



10 


0.076 4290 
4773 


483 


0.997 0750 
0713 


37 


0.076 6532 
7020 


488 


13 046 769 
.037 475 


8294 



50 


37 


Tangent 




20 
30 
40 


5257 
5740 
6224 


484 
483 
484 


0676 
0639 
0602 


37 
37 
37 


7507 
7995 
8483 


487 
488 
488 


.029 191 
.020 918 
.012 655 


8 284 
8273 
8263 


40 
30 
20 




1 

2 


487 488 

48 7 48 8 
97 4 97 6 




50 


6707 


483 
483 


0565 


37 
37 


8970 


487 
488 


.004 402 


8 253 
8242 


10 




3 
4 


116 1 146 4 
194 8 195 2 


24 



10 
20 


0.076 7190 
7674 
8157 


484 
483 


0.997 0528 
0490 
0453 


38 
37 


0.076 9458 
9946 
0.077 0433 


488 
487 


12 996 160 
.987 928 
.979 707 


8232 
8221 



50 
40 


36 


5 
6 

7 
8 


J13 5 244 
292 2 292 8 
340 9 341 6 
3S<> (i 390 4 




30 


8640 


483 


0416 


37 


0921 


488 


.971 495 


8212 


30 




9 


438 .1 439 2 




40 
50 


9124 
9607 


484 
483 


0379 
0341 


37 
38 


1409 
1807 


488 
488 


.963 295 
.955 104 


8 200 
8191 


20 
10 




Cotangent 








484 




37 




487 




8 180 






8500 84IM) 


25 



10 
20 
30 
40 


0.077 0091 
0574 
1057 
1541 
2024 


483 
483 
484 
483 


0.997 0304 
0267 
0229 
0192 
0154 


37 
38 
37 
38 


077 2384 
2872 
3360 
3847 
4335 


488 
488 
487 
488 


12 946 924 
938 754 
.930 594 
.922 445 
.914 306 


8170 
8160 
8149 
8139 



50 
40 
30 
20 


35 


2 
3 
4 
5 
6 


850 840 
1700 1680 
2550 2520 
3100 3360 
U50 4200 
5100 5040 




50 


2507 


483 
484 


0117 


37 
37 


4823 


488 
488 


.906 177 


8 129 
8119 


10 




7 

8 


VJ50 58HO 
0800 6720 


26 





0.077 2991 




0.997 0080 




077 6311 




12 898 068 







34 


9 


7650 7560 




10 
20 


3474 
3957 


483 
483 


0042 
0005 


38 
37 


5798 
6286 


487 
488 


.889 949 
.881 850 


8 109 
8099 
8 088 


50 
40 




1 


8300 8200 

830 820 




30 


4441 


484 


0.996 9967 


38 


6774 


488 


873 762 




30 






1600 1640 




40 
50 


4924 
5408 


483 
484 
483 


9929 
9892 


38 
37 
38 


7261 
7749 


487 
488 
488 


.865 683 
.857 615 


8 079 
8068 
8058 


20 
10 




3 
4 


2490 2460 
33JO 3280 
1150 4100 


27 



10 
20 


0.077 5891 
6374 
6858 


483 
484 


0.996 9854 
9817 
9779 


37 
38 


077 8237 
8725 
9212 


488 
487 


12.849 557 
.841 508 
.833 470 


8049 
8038 



50 
40 


33 


6 
7 

8 
9 


49SO 4920 
5810 5740 
0640 6560 
7470 7380 




30 
40 
50 


7341 
7824 
8308 


483 
483 
484 
483 


9741 
9704 
9666 


38 
37 
38 
38 


9700 
0.078 0188 
0676 


488 
488 
488 
488 


.825 442 
.817 423 
.809 415 


8 028 
8019 
8008 
7998 


30 
20 
10 




1 

2 


8100 8000 

810 800 
1620 1600 


28 





0.077 8791 




0.996 9628 




0.078 1164 




12.801 417 







32 


3 
4 


2430 2400 
3240 3200 




10 


9274 


483 


9590 


38 


1651 


487 


.793 428 


7 989 


50 




5 


4050 4000 




20 
30 
40 


9758 
0.078 0241 
0724 


484 
483 
483 


9553 
9515 
9477 


37 
38 
38 


2139 
2627 
3115 


488 
488 
488 


.785 450 
.777 481 
.769 522 


7 978 
7969 
7959 


40 
30 
20 




6 
7 
8 
9 


4860 4800 
5670 5600 
6480 6400 
7290 7200 




50 


1208 


484 
483 


9439 


38 
38 


3602 


487 
488 


.761 573 


7 949 
7939 


10 




7900 


29 



10 
20 
30 
40 
50 


0.078 1691 
2174 
2658 
3141 
3624 
4108 


483 
484 
483 
483 
484 
483 


0.996 9401 
9363 
9325 
9287 
9249 
9211 


38 
38 
38 
38 
38 
38 


0.078 4090 
4578 
5066 
5554 
6041 
6529 


488 
488 
488 
487 
488 
488 


12.753 634 
.745 705 
.737 785 
.729 876 
.721 976 
.714 085 


7929 
7920 
7909 
7 $00 
7891 
7880 



50 
40 
30 
20 
10 


31 


1 790 
2 1580 
3 2370 
4 3160 
5 3950 
6 4740 
7 5530 
8 0320 


30 





0.078 4591 




0.996 9173 




0.078 7017 




12.706 205 







30 


9 7110 






Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



85 30' 



28 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
4 30' 



' 


" 


Sine 


Diff 


Cosine 


Diff. 


Tangent 


Diff. 


Cotangent 


Diff. 






Proportional Parts 


30 



10 


0.078 4691 
5074 


483 


0.996 9173 
9135 


38 


0.078 7017 
7505 


488 


12.706 206 
.698 334 


7871 



50 


30 


Sine 

483 484 




20 


5558 


484 


9097 


38 


7993 


488 


.690 473 


7861 


40 






48 3 48 4 




30 
40 
50 


6041 
6524 
7008 


483 
483 
484 
483 


9059 
9021 
8983 


38 
38 
38 
38 


8481 
8968 
9456 


488 
487 
488 
488 


.682 621 
.674 779 
.666947 


7852 
7842 
7832 
7822 


30 
20 
10 




2 
3 
4 

5 



96 6 96 8 
144 9 145 2 
193 2 193 6 
241 5 242 
289 8 290 4 


31 





0.078 7491 




0.9% 8945 




0.078 9944 




12.659 125 







29 


7 


338 1 338 8 




10 
20 


7974 
8457 


483 
483 


8906 
8868 


39 
38 


0.079 0432 
0920 


488 
488 


.651 312 
.643 508 


7 813 
7804 


50 
40 




8 
9 


386 4 387 2 
434 7 435 6 




30 


8941 


484 


8830 


38 


1408 


488 


.635 714 


7 794 


30 








40 
50 


9424 
9907 


483 
483 
484 


8792 
8754 


38 
38 
39 


1895 
2383 


487 
488 
488 


.627 930 
.620 155 


7 784 
7775 
7765 


20 
10 




Cosine 

38 39 40 


32 



10 


0.079 0391 
0874 


483 


0.996 8715 
8677 


38 


079 2871 
3359 


488 


12.612 390 
.604 634 


7756 



50 


28 


1 38 39 40 
2 76 78 80 
3 11 4 11 7 12 




20 


1357 


483 


8639 


38 


3847 


488 


.596 888 


7 746 


40 




4 15 2 15 6 16 




30 
40 
50 


1841 
2324 
2807 


484 
483 
483 


8600 
8562 
8523 


39 
38 
39 


4335 
4823 
5310 


488 
488 
487 


.589 151 
581 424 
573 706 


7 737 
7727 
7718 


30 
20 
10 




5 19 19 5 20 
6 22 8 23 4 24 
7 26 6 27 3 28 
8 30 4 31 2 32 








483 




38 




488 




7 709 






9 34 2 35 1 36 


33 





0.079 3290 




996 8485 




079 5798 




12.666 997 







27 






10 
20 


3774 
4257 


484 
483 


8446 
8408 


39 
38 


6286 
6774 


488 
488 


.558 298 
.550 608 


7699 
7690 


50 
40 




Tangent 




30 


4740 


483 


8369 


39 


7262 


488 


.542 928 


7 680 


30 




487 488 




40 
50 


5224 
5707 


484 
483 
483 


8331 
8292 


38 
39 
38 


7750 
8238 


488 
488 
488 


.535 256 
.527 595 


7 672 
7661 
7653 


20 
10 




3 


48 7 48 8 
97 4 97 6 
146 1 146 4 


























4 


191 8 195 2 


34 





079 6190 




996 8254 




0.079 8726 


JOO 


12 519 942 







26 


5 


243 5 244 




10 


6673 


4o3 


8215 


* 


9214 


Wo 


.512 299 


( o4a 


50 




6 


292 2 292 8 




20 
30 
40 


7157 
7640 
8123 


484 
483 
483 


8176 
8138 
8099 


39 
38 
39 


9702 
0.080 0189 
0677 


488 
487 
488 


504665 
497040 
.489 425 


7634 
7625 
7615 


40 
30 
20 




7 
8 
9 


-MO 9 341 6 
389 6 390 4 
438 3 439 2 




50 


8606 


483 


8060 


39 


1165 


488 


481 818 


7 607 


10 






35 



10 
20 


00799090 
9573 
080 0056 


484 

483 
483 


996 8022 
7983 
7944 


38 

39 
39 


0.080 1653 
2141 
2629 


488 

488 
488 


12 474 221 
.466 633 
.459 055 


7 597 

7588 
7578 



50 
40 


26 


1 

2 


Cotangent 

7900 7800 

790 780 
1580 1560 




30 
40 
50 


0539 
1023 
1506 


483 
484 
483 
483 


7905 
7867 
7828 


39 
38 
39 
39 


3117 
3605 
4093 


488 
488 
448 
488 


.451 485 
443 925 
436 373 


7 570 
7560 
7552 
7542 


30 
20 
10 




4 
6 


2370 2340 
3160 3120 
3950 3900 
4740 4680 


36 





080 1989 




996 7789 




0.080 4581 




12 428 831 







24 


7 
\ 8 


5530 5460 
6*20 6240 




10 


2472 


483 


7750 


39 


5069 


488 


421 298 


7 533 


50 




9 


7110 7020 




20 
30 
40 


2956 
3439 
3922 


484 
483 
483 


7711 
7672 
7633 


39 
39 
39 


5557 
6045 
6533 


488 
488 
488 


413 774 
406259 
398 753 


7 524 
7515 
7506 


40 
30 
20 




1 


7700 7600 

770 760 
1540 1520 




50 


4405 


483 
484 


7594 


39 
39 


7021 


488 
488 


391 256 


7497 
7488 


10 




4 


2310 2280 
3080 3040 


37 



10 
20 


0.080 4889 
5372 

5855 


483 
483 


0.996 7665 
7516 

7477 


39 
39 


0.080 7609 
7997 
8485 


488 
488 


12 383 768 
.376 289 
368 819 


7479 
7470 



50 
40 


23 


5 
6 

7 
8 


3850 3800 
4620 4560 
5390 5320 
6160 6080 




30 


6338 


483 


7438 


39 


8973 


488 


.361 358 


7 461 


30 




9 


0930 6840 




40 
50 


6822 
7305 


484 
483 
483 


7399 
7360 


39 
39 
39 


9461 
9949 


488 
488 
488 


.353 906 
346 462 


7452 
7444 
7434 


20 
10 




1 


7500 7400 

750 740 


38 





0.080 7788 




9% 7321 




0.081 0437 




12 339 028 







22 


2 
3 


1500 1480 
2250 2220 




10 


8271 


483 


7281 


40 


0925 


488 


.331 603 


7425 


So 




4 


3000 2960 




20 
30 
40 


8755 
9238 
9721 


484 
483 
483 


7242 
7203 
7164 


39 
39 
39 


1413 
1901 
2389 


488 
488 
488 


324 186 
316 779 
.309 380 


7417 
7407 
7399 


40 
30 
20 




5 
6 

7 
8 


3750 3700 
1500 4440 
5250 5180 
6000 5920 




50 


0.081 0204 


483 


7124 


40 


2877 


488 


.301 990 


7390 


10 




9 


6750 6660 








483 




39 




488 




7381 








39 





081 0687 




0.996 7085 




0.081 3366 




12.294 609 







21 


7300 




10 
20 


1171 
1654 


484 
483 


7046 
7006 


39 
40 


3853 
4341 


488 
488 


.287 236 
.279 872 


7373 
7364 


50 
40 




1 730 
2 1460 
3 2190 




30 


2137 


483 


6967 


39 


4829 


488 


.272 518 


7354 


30 




4 2920 




40 


2620 


483 


6928 


39 


5317 


488 


.265 172 


7346 


20 




5 3650 




50 


3104 


484 

483 


6888 


40 
39 


5805 


488 
488 


.257 834 


7338 
7329 


10 




6 4380 
7 5110 


























8 5840 


40 





0.081 3687 




0.996 6849 




0.081 6293 




12.260 605 







20 


9 6570 






Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff. 


" 


' 


Proportional Parts 



85 20' 



SINES, COSINES, TANGENTS AND COTANGENTS 
4 40' 



29 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 


40 





0.081 3587 




0.996 6849 




0.081 6293 




12.250 605 







20 






10 


4070 


483 


6809 


40 


6781 


488 


.243 185 


7320 


50 








20 


4553 


483 


6770 


89 


7269 


488 


.235 874 


7311 


40 




Sine 




30 


5036 


483 


6730 


40 


7757 


488 


.228 572 


7302 


30 




483 4A4 




40 


5520 


484 


6691 


39 


8245 


488 


.221 278 


7294 


20 




1 


48 3 48 4 




50 


6003 


483 
483 


6651 


40 
39 


8733 


488 
488 


.213 992 


7286 
7276 


10 




2 
3 


96 6 96 8 
144 9 145 2 


41 



10 


0.081 6486 
6969 


483 


0.996 6612 
6572 


40 


0.081 9221 
9709 


488 


12.206 716 
.199448 


7268 



50 


19 


4 

5 
6 


193 2 193 6 
241 5 242 

289 8 290 4 




20 


7452 


483 


6533 


39 


0.082 0197 


488 


.192 188 


7260 


40 




7 


338 1 338 8 




30 
40 


7936 
8419 


484 
483 


6493 
6453 


40 
40 


0685 
1173 


488 
488 


.184 937 
.177695 


7251 
7242 


30 
20 




.8 
9 


386 4 387 2 
434 7 435 6 




50 


8902 


483 


6414 


39 


1662 


489 


.170461 


7234 


10 












483 




40 




488 




7225 








42 



10 


0.081 9385 
9868 


483 


0.996 6374 
6334 


40 


0.082 2150 
2638 


488 


12.163 236 
.156 019 


7217 



50 


18 


Cosine 




20 


0.082 0351 


483 


6294 


40 


3126 


488 


.148811 


7208 


40 




39 40 41 




30 
40 


0835 
1318 


484 
483 


6255 
6215 


39 
40 


3614 
4102 


488 
488 


.141 611 
.134 419 


7200 
7192 


30 
20 




i 

3 1 


i 9 40 41 

78 80 82 
17 12 12 3 




50 


1801 


483 


6175 


40 


4590 


488 


.127 237 


7182 


10 




4 1 


56 16 16 4 








483 




40 




488 




7 175 






5 1 


9 5 20 20 5 


43 



10 
20 


0.082 2284 
2767 
3250 


483 
483 


0.996 6135 
6095 
6055 


40 
40 


0.082 6078 
5566 
6055 


488 
489 


12.120 062 
.112 896 
.105 739 


7166 
7157 



50 
40 


17 


6 2 
7 2 
8 3 
9 3 


3 4 24 24 6 
73 28 28 7 
12 32 32 8 
51 36 36 9 




30 


3734 


484 


6015 


40 


6543 


488 


098 589 


7 150 


30 










40 


4217 


483 


5975 


40 


7031 


488 


.091 449 


7140 


20 








50 


4700 


483 


5935 


40 


7519 


488 


.084 316 


7 133 


10 












483 




40 




488 




7124 








44 





0.082 6183 




0.996 6895 




0.082 8007 




12 077 192 







16 


Tangent 




10 


5666 


483 


5855 


40 


8495 


488 


.070 076 


7116 


50 




488 489 




20 
30 


6149 
6633 


483 
484 


5815 
5775 


40 
40 


8983 
9471 


488 
488 


.062 969 
.055 870 


7 107 
7099 


40 
30 




i 

2 
3 


48 8 48 9 
97 6 97 8 
146 4 146 7 




40 


7116 


483 


5735 


40 


9960 


489 


.048 779 


7091 


20 




4 


195 2 195 




50 


7599 


483 


5695 


40 


0.083 0448 


488 


.041 697 


7082 


10 




5 


244 244 5 








483 




40 




488 




7075 






6 


292 8 293 4 


45 



10 


082 8082 
8565 


483 


0.996 5655 
5615 


40 


0.083 0936 
1424 


488 


12.034 622 
.027 556 


7066 



50 


15 


7 
8 
9 


341 6 342 3 
390 4 391 2 
439 2 440 1 




20 


9048 


483 


5575 


40 


1912 


488 


.020 499 


7057 


40 










30 


9532 


484 


5534 


41 


2400 


488 


.013 449 


7050 


30 








40 


0.083 0015 


483 


5494 


40 


2889 


489 


.006 408 


7041 


20 








50 


0498 


483 


5454 


40 


3377 


488 


11 999 374 


7034 


10 




Cotangent 








483 




40 




488 




7025 








46 



10 


0.083 0981 
1464 


483 


0.996 5414 
5373 


41 


0.083 3865 
4353 


488 


11 992 349 
.985 333 


7016 



50 


14 


i 


7300 7200 

730 720 
HM) 1440 




20 


1947 


483 


5333 


40 


4841 


488 


978 324 


7009 


40 




3 


2190 2160 




30 


2430 


483 


5293 


40 


5330 


489 


.971 323 


7001 


30 




4 


2920 2880 




40 
50 


2913 
3397 


483 
484 


5252 
5212 


41 
40 


5818 
6306 


488 
488 


964331 
957 347 


6992 
6984 


20 
10 




(i 

7 


.5050 3600 
1380 4320 
5110 5040 








483 




40 




488 




6 976 






8 


5840 5760 


47 





0.083 3880 




0.996 5172 




0.083 6794 




11 960 371 







13 


) 


6570 6480 




10 


4363 


483 


5131 


41 


7282 


488 


.943 402 


6 969 


50 








20 


4846 


483 


5091 


40 


7771 


489 


.936 442 


6960 


40 




7100 7000 




30 
40 


5329 
5812 


483 
483 


5050 
5010 


41 
40 


8259 
8747 


488 
488 


.929 490 
.922 546 


6952 
6944 


30 
20 




1 
3 


710 700 
1420 1400 
2130 2100 




50 


6295 


483 


4969 


41 


9235 


488 


.915 610 


6 936 


10 




4 


2840 2800 








483 




40 




488 




6928 






5 


3550 3500 


48 



10 
20 


0.083 6778 
7262 

7745 


484 
483 


0.996 4929 
4888 
4847 


41 
41 


0.083 9723 
084 0212 
0700 


489 
488 


11.908 682 
.901 762 
894 850 


6920 
6912 



50 
40 


12 




7 
8 
9 


4260 4200 
4970 4900 
5680 5600 
{.390 f>300 




30 


8228 


483 


4807 


40 


1188 


488 


887946 


6904 


30 








40 


8711 


483 


4766 


41 


1676 


488 


.881 050 


6 896 


20 




6900 6800 




50 


9194 


483 


4725 


41 


2165 


489 


.874 162 


6 888 


10 




1 


690 680 








483 




40 




488 




6880 






2 


1380 1360 


49 



10 
20 


0.083 9677 
0.084 0160 
0643 


483 
.483 


0.996 4685 
4644 
4603 


41 
41 


0.084 2653 
3141 
3629 


488 
488 


11.867282 
.860 410 
.853 545 


6872 
6865 



50 
40 


11 


3 
4 
5 

o 


2070 2040 
2760 2720 
3450 3400 
4140 4080 




30 


1126 


483 


4563 


40 


4118 


489 


.846689 


6856 


30 




7 


4830 4760 




40 
50 


1609 
2093 


483 
484 


4522 
4481 


41 
41 


4606 
5094 


488 
488 


.839840 
.833 000 


6849 
6840 


20 
10 




8 
9 


5520 5440 
6210 6120 








483 




41 




489 




6833 








50 





0.084 2576 




0.996 4440 




0.0846583 




11.826 167 







10 








Coame 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



86 10' 



30 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
4 50' 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 


60 





0.084 2576 




0.9964440 




0.0845683 




11.826 167 







10 








10 


3059 


483 


4399 


41 


6071 


488 


.819 342 


6 825 


50 










20 


3542 


483 


4358 


41 


6559 


488 


.812 524 


6 818 


40 










30 
40 
50 


4025 
4508 
4991 


483 
483 
483 
483 


4317 
4277 
4236 


41 
40 
tl 
41 


7047 
7536 
8024 


488 
489 
488 
488 


.805 715 
.798 913 
.792 119 


6809 
6802 
6794 
6786 


30 
20 
10 




Sine 

482 483 484 

1 48 2 48 3 48 4 


51 



10 


0.084 5474 
5957 


483 


0.996 4195 
4154 


41 


0.084 8512 
9001 


489 


11.786 333 
.778 555 


6778 



50 


9 


2 96 4 
3 144 6 
4 192 8 


96 6 96 8 
144 9 145 2 
193 2 193 6 




20 


6440 


483 


4113 


41 


9489 


488 


.771 784 


6 771 


40 




5 241 


241 5 242 




30 


6923 


483 


4071 


42 


9977 


488 


.765 021 


6 763 


30 




6 289 2 


289 8 290 4 




40 
50 


7406 
7890 


483 
484 


4030 
3989 


41 
41 


0.085 0466 
0954 


489 
488 


.758 266 
.751 518 


6 755 
6748 


20 
10 




7 337 4 
8 385 6 
9 433 8 


338 1 338 8 
386 4 387 2 
434 7 435 6 








483 




41 




488 




6 739 










52 



10 


0.084 8373 
8856 


483 


996 3948 
3907 


41 


0.085 1442 
1931 


489 


11.744 779 
.738 046 


6733 



50 


8 


Cosine 




20 


9339 


483 


3866 


41 


2419 


488 


.731 322 


6 724 


40 




40 41 42 43 




30 


9822 


483 


3825 


41 


2907 


488 


.724 605 


6 717 


30 




I 40 41 42 43 




40 
50 


0.085 0305 
0788 


483 
483 
483 


3784 
3742 


41 
42 
41 


3396 
3884 


489 
488 
488 


.717 896 
.711 194 


6 709 
6702 
6694 


20 
10 




2 80 82 84 86 
3 12 12 3 12 6 12 9 
1 16 16 4 16 8 17 2 


63 



10 


0.085 1271 
1754 


483 


996 3701 
3660 


41 


0.086 4372 
4861 


489 


11.704 600 
.697 814 


6686 



50 


7 


5 20 20 5 21 21 5 
G 24 24 G 25 2 25 8 
7 28 28 7 29 4 30 1 




20 


2237 


483 


3618 


42 


5349 


488 


.691 135 


6 679 


40 




8 32 32 8 33 6 34 4 




30 


2720 


483 


3577 


41 


5837 


488 


.684 464 


6671 


30 




9 3b 36 9 37 8 38 7 




40 


3203 


483 


3536 


41 


6326 


489 


.677 800 


6664 


20 










50 


3686 


483 
483 


3494 


42 
41 


6814 


488 
488 


.671 144 


6 656 
6649 


10 




Tangent 


54 





0.086 4169 




0.996 3463 




0.086 7302 




11.664 495 







6 


488 489 




10 
20 
30 


4652 
5135 
5618 


483 
483 
483 


3412 
3370 
3329 


41 
42 
41 


7791 
8279 
8768 


489 
488 
489 


.657 854 
.651 221 
.644594 


6 641 
6633 
6627 


50 
40 
30 




1 48 8 48 9 
2 97 G 97 8 
3 146 4 146 7 
4 195 2 195 6 




40 


6101 


483 


3287 


42 


9256 


488 


.637 976 


6618 


20 




5 2U 244 5 




50 


6584 


483 
483 


3246 


41 
42 


9744 


488 
489 


.631 365 


6 611 
6604 


10 




6 292 8 293 4 
7 341 6 342 3 


55 





0.086 7067 




0.996 3204 




0.086 0233 




11.624 761 







5 


8 390 4 391 2 
9 439 9 4<in 1 




10 


7550 


483 


3163 


41 


0721 


488 


.618 165 


6596 


50 










20 
30 


8034 
8517 


484 
483 


3121 
3079 


42 
42 


1210 
1698 


489 
488 


.611 576 
604994 


6 589 
6582 


40 
30 




Cotangent 




40 


9000 


483 


3038 


41 


2186 


488 


.598 420 


6 574 


20 




6800 6700 




50 


9483 


483 


2996 


42 


2675 


489 


.591 853 


6567 


10 




1 680 670 








483 




42 




488 




6559 






2 136(] 


1340 


66 



10 
20 
30 


085 9966 
0.086 0449 
0932 
1415 


483 
483 
483 


0.996 2954 
2913 
2871 
2829 


41 
42 
42 


0.086 3163 
3652 
4140 
4629 


489 
488 
489 


11.585 294 
.578 742 
.572 198 
.565 660 


6552 
6544 
6538 



50 
40 
30 


4 


% 3 2040 2010 
5 4 2720 2680 
5 3400 3350 
6 4080 4020 
7 4760 4690 




40 
50 


1898 
2381 


483 
483 


2787 
2746 


42 
41 


5117 
5605 


488 
488 


.559 131 
.552 608 


6 529 
6523 


20 
10 




8 5440 5360 
9 6120 6030 








483 




42 




489 




6 515 










57 





0.086 2864 




0.996 2704 




0.086 6094 




11.546 093 







3 


6600 6500 




10 
20 
30 


3347 
3830 
4313 


483 
483 
483 


2662 
2620 
2578 


42 
42 
42 


6582 
7071 
7559 


488 
489 
488 


.539 585 
.533 084 
.526 591 


6508 
6501 
6493 


50 
40 
30 




1 660 650 
2 1320 1300 
3 1980 1950 
4 2640 2600 




40 


4796 


483 


2536 


42 


8048 


489 


.520 104 


6 487 


20 




5 3300 3250 




50 


5279 


483 
483 


2494 


42 
42 


8536 


488 
489 


513 625 


6479 
6471 


10 




G 3960 3900 
7 4620 4550 


68 



10 


0.086 5762 
6245 


483 


0.996 2452 
2410 


42 


0.086 9025 
9513 


488 


11.607 154 
.500 689 


6465 



50 


2 


8 5280 5200 
9 5940 5850 




20 
30 
40 


6728 
7211 
7694 


483 
483 
483 


2368 
2326 
2284 


42 
42 
42 


0.087 0002 
0490 
0979 


489 
488 
489 


.494 232 
.487 782 
.481 339 


6457 
6450 
6443 


40 
30 
20 




1 

2 


6400 

640 
1280 




50 


8177 


483 
483 


2242 


42 
42 


1467 


488 
489 


.474 903 


6436 
6429 


10 




3 
4 


1920 
2560 


59 



10 
20 


0.086 8660 
9143 
9626 


483 
483 


0.996 2200 
2158 
2116 


42 
42 


0.087 1966 
2444 
2933 


488 
489 


11.468 474 
.462 053 
.455 639 


6421 
6414 



50 
40 


1 


5 
6 

7 
8 


3200 
3840 
4480 
5120 




30 


0.087 0109 


483 


2074 


42 


3421 


488 


.449 231 


6408 


30 




9 


57600 




40 


0591 


482 


2031 


43 


3910 


489 


.442831 


6400 


20 










50 


1074 


483 


1989 


42 


4398 


488 


.436 438 


6393 


10 














483 




42 




489 




6386 










60 





0.087 1667 




0.996 1947 




0.087 4887 




11.430 052 


















Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff. 


" 


' 


Proportional Parts 



85 00' 



SINES, COSINES, TANGENTS AND COTANGENTS 



31 



6 00' 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 








0.087 1657 




0.996 1947 




0.087 4887 




11.430 052 







60 






10 


2040 


483 


1905 


42 


5375 


488 


.423 673 


6379 


50 








20 


2523 


483 


1862 


43 


5864 


489 


.417 302 


6371 


40 








30 


3006 


483 


1820 


42 


6352 


488 


.410 937 


6 365 


30 








40 


3489 


483 


1778 


42 


6841 


489 


.404 579 


6358 


20 




Sine 




50 


3972 


483 
483 


1735 


43 
42 


7329 


488 
489 


.398 229 


6350 
6344 


10 




482 483 


1 



10 


0.087 4455 
4938 


483 


0.996 1693 
1651 


42 


0.087 7818 
8306 


488 


11.391 885 
.385 548 


6337 



50 


69 


1 

2 
3 


48 2 48 3 
90 4 96 6 
144 6 144 9 




20 


5421 


483 


1608 


43 


8795 


489 


.379 219 


6329 


40 




4 


192 8 193 2 




30 


5904 


483 


1566 


42 


9284 


489 


.372 896 


6323 


30 




5 


241 241 5 




40 
50 


6387 
6870 


483 
483 
483 


1523 
1481 


43 
42 
43 


9772 
088 0261 


488 
489 
488 


.366 580 
.360 271 


6316 
6309 
6301 


20 
10 




6 

7 
8 
9 


289 2 289 8 
337 4 338 1 
385 6 386 4 
433 8 434 7 


2 





0.087 7353 




0.996 1438 




0.088 0749 




11.363 970 







58 






10 
20 


7836 
8319 


483 
483 


1396 
1353 


42 
43 


1238 
1726 


489 
488 


347 675 
.341 387 


6 295 
6288 


50 
40 




Cosine 




30 


8802 


483 


1311 


42 


2215 


489 


.335 106 


6281 


30 




42 43 44 




40 


9285 


483 


1268 


43 


2704 


489 


.328 832 


6274 


20 




1 42 43 44 




50 


9768 


483 
483 


1225 


43 
42 


3192 


488 
489 


.322 564 


6 268 
6260 


10 




2 84 86 88 
3 12 6 12 9 13 2 


3 



10 
20 


0.088 0251 
0733 
1216 


482 
483 


996 1183 
1140 
1097 


43 
43 


0.088 3681 
4169 
4658 


488 
489 


11.316 304 
310 050 
.303 804 


6254 
6246 



50 
40 


67 


4 10 8 17 2 17 6 
5 21 21 5 22 
25 2 25 8 26 4 
7 29 4 30 1 30 8 




30 
40 


1699 
2182 


483 
483 


1054 
1012 


43 
42 


5147 
5635 


489 
488 


.297 564 
.291 331 


6240 
6233 


30 
20 




8 33 34 4 35 2 
9 37 8 38 7 39 6 




50 


2665 


483 


0969 


43 


6124 


489 


285 105 


6 226 


10 












483 




43 




488 




6220 






Tangent 


4 



10 


0.088 3148 
3631 


483 


0.996 0926 
0883 


43 


088 6612 
7101 


489 


11.278 886 
.272 673 


6212 



50 


66 


488 489 




20 


4114 


483 


0840 


43 


7590 


489 


.266 467 


6206 


40 




1 

2 


48 8 48 

97 6 97 8 




30 


4597 


483 


0798 


42 


8078 


488 


.260 268 


6 199 


30 




3 


116 4 146 7 




40 


5080 


483 


0755 


43 


8567 


489 


254 076 


6 192 


20 




4 


195 2 195 6 




50 


5563 


483 
483 


0712 


43 
43 


9056 


489 
488 


.247 890 


6 186 
6178 


10 




5 
G 


244 244 5 
292 8 293 4 


5 



10 


088 6046 
6528 


482 


0.996 0669 
0626 


43 


088 9544 
089 0033 


489 


11 241 712 
.235 540 


6172 



50 


65 


7 
8 
9 


341 6 342 3 
390 4 391 2 
439 2 440 1 




20 


7011 


483 


0583 


43 


0522 


489 


.229 374 


6 166 


40 








30 
40 


7494 
7977 


483 
483 


0540 
0497 


43 
43 


1010 
1499 


488 
489 


.223 216 
.217 064 


6 158 
6152 


30 
20 




Cotangent 




50 


8460 


483 


0454 


43 


1988 


489 


.210 919 


6 145 


10 




6400 6300 








483 




43 




488 




6 139 






i 


640 630 


6 



10 
20 
30 


0.088 8943 
9426 
9909 
089 0392 


483 
483 
483 


996 0411 
0368 
0324 
0281 


43 
44 
43 


089 2476 
2965 
3454 
3942 


489 
489 
488 


11.204 780 
198648 
.192 523 
.186405 


6 132 
6125 
6118 



50 
40 
30 


54 


2 
3 
4 

6 


1280 1260 
1920 1890 
2560 2520 
3200 3150 
3840 3780 




40 
50 


0875 
1357 


483 
482 
483 


0238 
0195 


43 
43 
43 


4431 
4920 


489 
489 
488 


.180 293 
.174 187 


6 112 
6106 
6098 


20 
10 




7 
8 
9 


4480 4410 
5120 5040 
5760 5670 


7 



10 
20 


0.089 1840 
2323 
2806 


483 
483 


996 0152 
0108 
0065 


44 
43 


089 5408 
5897 
6386 


489 
489 


11 168 089 
.161 997 
.155 911 


6092 
6086 



50 
40 


53 


1 
2 


6200 6100 

620 610 
1240 1220 




30 
40 
50 


3289 
3772 
4255 


483 
483 
483 
483 


0022 
0.995 9979 
9935 


43 
43 
44 
43 


6874 
7363 
7852 


488 
489 
489 
489 


.149832 
.143 760 
.137 694 


6 079 
6072 
6066 
6059 


30 
20 
10 




3 
4 

6 
7 


1860 1830 
2480 2440 
3100 3050 
3720 3660 
4340 4270 


8 





0.089 4738 




0.995 9892 




0.089 8341 




11.131 635 







52 


8 


4960 4880 




10 


5220 


482 


9848 


44 


8829 


488 


.125 582 


6 053 


50 




9 


5580 5490 




20 
30 
40 
50 


5703 
6186 
6669 
7152 


483 
483 
483 
483 


9805 
9762 
9718 
9675 


43 
43 
44 
43 


9318 
9807 
090 0296 
0784 


489 
489 
489 
488 


.119 536 
.113 496 
.107463 
.101 437 


6046 
6040 
6033 
6026 


40 
30 
20 
10 




2 
3 


6000 5900 

600 590 
1200 1180 
1800 1770 








483 




44 




489 




6 021 






4 


2400 2360 


9 





0.089 7635 




0.995 9631 




0.090 1273 




11.095 416 







61 


5 


3000 2950 




10 
20 
30 


8118 
8600 
9083 


483 
482 
483 


9588 
9544 
9500 


43 

44 
44 


1762 
2251 
2739 


489 
489 
488 


.089 403 
.083 396 
.077 395 


6 013 
6007 
6001 


50 
40 
30 




6 

7 
8 
9 


3600 3540 
4200 4130 
4800 4720 
5400 5310 




40 


9566 


483 


9457 


43 


3228 


489 


.071 400 


5995 


20 








50 


0.090 0049 


483 
483 


9413 


44 
43 


3717 


489 
489 


.065 412 


5 988 
5981 


10 






10 





0.090 0532 




0.996 9370 




0.090 4206 




11.069 431 







60 








Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



84 60' 



32 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 



5 10' 



' 


" 


Sine 


Diff 


Conine 


Diff 


Tangent 


Diff 


Cotangent 


Diff. 






Proportional Parts 


10 





0.090 0532 




0.995 9370 




0.090 4206 




11.059 431 







50 






10 


1015 


483 


9326 


44 


4694 


488 


.053 456 


5975 


50 




CJMA 




20 


1498 


483 


9282 


44 


5183 


489 


.047 487 


5969 


40 




oine 




30 


1980 


482 


9238 


44 


5672 


489 


.041 525 


5962 


30 




482 483 




40 


2463 


483 


9195 


43 


6161 


489 


.035 569 


5956 


20 




1 


48 2 48 3 




50 


2946 


483 


9151 


44 


6650 


489 


.029 619 


5950 


10 




2 
2 


96 4 96 6 
144 6 144 y 








483 




44 




488 




5943 






4 


192 8 193 2 


11 





0.0903429 




0.995 9107 




0.090 7138 




11.023 676 







49 


g 


241 241 5 




10 


3912 


483 


9063 


44 


7627 


489 


.017 739 


5937 


50 




6 


289 2 289 8 




20 


4395 


483 


9020 


43 


8116 


489 


.011 809 


5930 


40 




7 


337 4 338 1 




30 


4877 


482 


8976 


44 


8605 


489 


005 885 


5924 


30 




8 
9 


385 6 386 4 
433 8 434 7 




40 


5360 


483 


8932 


44 


9094 


489 


10 999 967 


5918 


20 










50 


5843 


483 


8888 


44 


9582 


488 


.994 055 


5912 


10 












483 




44 




489 




5905 








12 





0.090 6326 




0.995 8844 




0.091 0071 




10.988 150 







48 


. 




10 


6809 


483 


8800 


44 


0560 


489 


982 251 


5899 


50 




Cosine 




20 


7291 


482 


8756 


44 


1049 


489 


.976 359 


5892 


40 




43 44 45 




30 


7774 


483 


8712 


44 


1538 


489 


.970 472 


5887 


30 




1 


43 44 45 




40 


8257 


483 


8668 


44 


2027 


489 


.964 592 


5880 


20 




2 


86 88 90 




50 


8740 


483 


8624 


44 


2515 


488 


.958 718 


5874 


10 




3 ] 
4 1 


29 13 2 13 5 

72 17 6 18 








483 




44 




489 




5868 








1 5 22 2 5 


13 





0.090 9223 




0.995 8580 




0.091 3004 




10.952 850 







47 


2 


58 26 4 27 




10 


9705 


482 


8536 


44 


3493 


489 


.946989 


5861 


50 




7 3 


01 30 8 31 5 




20 


0.091 0188 


483 


8492 


44 


3982 


489 


.941 134 


5855 


40 




8 i 


44 35 2 36 




30 


0671 


483 


8448 


44 


4471 


489 


.935 285 


5849 


30 




y i 


87 39 6 40 5 




40 


1154 


483 


8403 


45 


4960 


489 


.929 442 


5843 


20 








50 


1637 


483 


8359 


44 


5449 


489 


.923 605 


5837 


10 












482 




44 




489 




5830 








14 





0.091 2119 




0.995 8315 




0.091 5938 




10.917 775 







46 


Tangent 




10 


2602 


483 


8271 


44 


6426 


488 


911 951 


5824 


50 




488 489 




20 


3085 


483 


8227 


44 


6915 


489 


.906 132 


5819 


40 




1 


48 8 48 9 




30 


3568 


483 


8182 


45 


7404 


489 


.900 321 


5811 


30 




2 


97 6 97 8 




40 


4051 


483 


8138 


44 


7893 


489 


.894 515 


5806 


20 




4 


146 4 146 7 
195 2 195 6 




50 


4533 


482 


8094 


44 


8382 


489 


.888 715 


5800 


10 






244 24 1 5 








483 




45 




489 




5794 









292 8 293 4 


15 





0.091 5016 




0.995 8049 




0.091 8871 




10.882 921 







45 


7 


341 6 342 3 




10 


5499 


483 


8005 


44 


9360 


489 


.877 134 


5787 


50 




8 


390 4 391 2 




20 


5982 


483 


7961 


44 


9849 


489 


.871 353 


5781 


40 




y 


yy 2 440 i 




30 


6465 


483 


7916 


45 


0.092 0338 


489 


.865 577 


5776 


30 








40 


6947 


482 


7872 


44 


0827 


489 


.859 808 


5769 


20 








50 


7430 


483 


7827 


45 


1316 


489 


.854 045 


5763 


10 




Cotangent 








483 




44 




488 




5757 








16 





0.091 7913 




0.995 7783 




0.092 1804 




10.848 288 







44 


* 6000 5900 




10 


8396 


483 


7738 


45 


2293 


489 


.842 537 


5751 


50 




^ 1 


600 590 




20 


8878 


482 


7694 


44 


2782 


489 


.836 792 


5745 


40 




2 
3 


1200 1180 
1800 1770 




30 


9361 


483 


7649 


45 


3271 


489 


.831 053 


5739 


30 




4 


2400 2360 




40 


9844 


483 


7604 


45 


3760 


489 


.825 320 


5733 


20 




5 


3000 2950 




50 


092 0327 


483 


7560 


44 


4249 


489 


.819 593 


5727 


10 







3000 3540 








482 




45 




489 




5721 






7 


4200 4130 


17 





0.092 0809 




0.995 7515 




0.092 4738 




10.813 872 







43 


8 
y 


4800 47'?0 
5400 5310 (i 




10 


1292 


483 


7471 


44 


5227 


489 


808 158 


5714 


50 








20 


1775 


483 


7426 


45 


5716 


489 


.802 449 


5709 


40 




5800 5700 




30 


2258 


483 


7381 


45 


6205 


489 


.796 746 


5703 


30 




1 


580 570 




40 


2740 


482 


7337 


44 


6694 


489 


.791 049 


5697 


20 




'1 


1160 1140 




50 


3223 


483 


7292 


45 


7183 


489 


.785 358 


5691 


10 




4 


1710 1710 
2320 2280 








483 




45 




489 




5685 










18 





0.092 3706 




0.995 7247 




092 7672 




10.779 673 







42 


5 

o 


2900 2850 
3480 3120 




10 


4189 


483 


7202 


45 


8161 


489 


.773 994 


5679 


50 




7 


4060 3990 




20 


4671 


482 


7157 


45 


8650 


489 


768 320 


5674 


40 




8 


4640 4560 




30 


5154 


483 


7113 


44 


9139 


489 


762 653 


5667 


30 




y 


5220 5130 




40 


5637 


483 


7068 


45 


9628 


489 


.756 992 


5661 


20 




5600 




50 


6120 


483 


7023 


45 


093 0117 


489 


.751 336 


5656 


10 




1 560 








482 




45 




489 




5649 






2 1120 


19 





0.092 6602 




0.995 6978 




0.093 0606 




10.745 687 







41 


3 1680 




10 


7085 


483 


6933 


45 


1095 


489 


740043 


5644 


50 




4 2240 




20 


7568 


483 


6888 


45 


1584 


489 


734 405 


5638 


40 




5 2800 




30 


8050 


482 


6843 


45 


2073 


489 


.728 773 


5632 


30 




6 3360 
7 3920 




40 


8533 


483 


6798 


45 


2562 


489 


.723 147 


5626 


20 




8 4480 




50 


9016 


483 


6753 


45 


3051 


489 


.717 527 


5620 


10 




9 5040 








483 




45 




489 




5614 








20 





0.092 9499 




0.995 6708 




0.093 3640 




10.711 913 







40 








Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff. 


Tangent 


Diff. 


" 


' 


Proportional Parts 



84 40' 



SINES, COSINES, TANGENTS AND COTANGENTS 



33 



5 20' 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff. 






Proportional Parts 


20 





0.092 9499 




0.995 6708 




0.093 3540 




10.711 913 







40 






10 


9981 


482 


6663 


45 


4029 


489 


.706304 


5609 


50 








20 


0.0930464 


483 


6618 


45 


4518 


489 


.700 701 


5603 


40 




Sine 




30 


0947 


483 


6573 


45 


5007 


489 


.695 104 


5597 


30 




482 483 




40 


1429 


482 


6527 


46 


5496 


489 


.689 513 


5591 


20 




1 


48 2 48 3 




50 


1912 


483 


6482 


45 


5985 


489 


.683928 


5585 


10 




2 


96 4 96 6 








483 




45 




489 




5580 






3 


144 6 144 9 


21 





0.093 2395 




0.995 6437 




0.093 6474 




10.678 348 







39 


4 


192 8 193 2 




10 


2878 


483 


6392 


45 


6963 


489 


.672 775 


5573 


50 




ft 
(j 


241 241 5 

289 2 289 8 




20 


3360 


482 


6347 


45 


7453 


490 


.667 207 


5568 


40 




7 


337 4 338 1 




30 


3843 


483 


6301 


46 


7942 


489 


.661 644 


5563 


30 




8 


383 6 386 4 




40 


4326 


483 


6256 


45 


8431 


489 


.656 088 


5556 


20 




9 


433 8 434 7 




50 


4808 


482 


6211 


45 


8920 


489 


.650 537 


5551 


10 












483 




46 




489 




5545 








22 





0.093 6291 




0.995 6165 




0.093 9409 




10.644 992 







38 






10 


5774 


483 


6120 


45 


9898 


489 


.639 453 


5539 


50 




Cosine 




20 


6256 


482 


6075 


45 


094 0387 


489 


.633 919 


5534 


40 




45 46 47 




30 


6739 


483 


6029 


46 


0876 


489 


.628 391 


5528 


30 




1 


45 40 47 




40 


7222 


483 


5984 


45 


1365 


489 


.622 869 


5522 


20 






90 92 94 




50 


7704 


482 


5938 


46 


1854 


489 


.617 352 


5517 


10 




3 1 

.J 


3 5 13 8 14 1 

80 18 4 18 8 








483 




45 




490 




5511 










23 





0.093 8187 




0.996 6893 




0.094 2344 




10.611 841 







37 


5 2 


25 23 23 5 
70 27 6 28 2 




10 


8670 


483 


5847 


46 


2833 


489 


.606 336 


5505 


50 




7 3 


1 5 32 2 32 9 




20 


9152 


482 


5802 


45 


3322 


489 


600837 


5499 


40 




8 a 


60 36 8 37 6 




30 


9635 


483 


5756 


46 


3811 


489 


.595 343 


5494 


30 




9 4 


05 41 4 42 3 




40 


0.0940118 


483 


5711 


45 


4300 


489 


.589 855 


5488 


20 








50 


0600 


482 


5665 


46 


4789 


489 


.584 372 


5483 


10 












483 




45 




489 




5477 








24 





0.094 1083 




0.995 5620 




0.094 5278 




10.678 896 







36 


Tangent 




10 


1566 


483 


5574 


46 


5767 


489 


573 424 


5471 


50 




489 490 




20 


2048 


482 


5528 


46 


6257 


490 


567 958 


5466 


40 




1 


48 9 49 




30 


2531 


483 


5483 


45 


6746 


489 


562 498 


5460 


30 




2 


97 8 98 
146 7 147 




40 


3014 


483 


5437 


46 


7235 


489 


.557 043 


5455 


20 




4 


193 6 196 




50 


3496 


482 


5391 


46 


7724 


489 


.551 594 


5449 


10 




J 


244 5 245 








483 




46 




489 




5443 









293 4 294 


25 





0.094 3979 




0.995 6345 




0.094 8213 




10 646 161 







36 


7 


342 3 343 




10 


4462 


483 


5300 


45 


8702 


489 


.540 713 


5438 


50 




8 


391 2 392 




20 


4944 


482 


5254 


46 


9192 


490 


.535 281 


5432 


40 




9 


440 




30 


5427 


483 


5208 


46 


9681 


489 


.529 854 


5427 


30 








40 


5910 


483 


5162 


46 


0.095 0170 


489 


524 433 


5421 


20 








50 


6392 


482 
483 


5116 


46 
46 


0659 


489 
489 


.519 017 


5416 
5410 


10 




Cotangent 


26 





0.094 6875 




0.995 5070 




0.096 1148 




10.513 607 







34 


5600 5500 




10 


7358 


483 


5025 


45 


1638 


490 


.508 202 


5405 


50 




1 


500 550 




20 


7840 


482 


4979 


46 


2127 


489 


.502 803 


5399 


40 




2 


1120 1100 




30 


8323 


483 


4933 


46 


2616 


489 


.497 409 


5394 


30 




4 


1080 1050 
2240 2200 




40 


8805 


482 


4887 


46 


3105 


489 


.492 021 


5388 


20 






2800 2750 




50 


9288 


483 


4841 


46 


3594 


489 


486 638 


5383 


10 







3300 3300 








483 




46 




490 




5377 






7 


3920 3850 


27 





094 9771 




995 4796 




0.095 4084 




10.481 261 







33 


8 


4180 4 tOO 




10 


0.095 0253 


482 


4749 


46 


4573 


489 


.475 889 


5372 


50 




9 


5010 4950 




20 


0736 


483 


4702 


47 


5062 


489 


.470 523 


5366 


40 




5400 5300 




30 


1219 


483 


4656 


46 


5551 


489 


.465 162 


5361 


30 




1 


540 530 




40 


1701 


482 


4610 


46 


6041 


490 


.459 807 


5355 


20 




2 


1080 1000 




50 


2184 


483 


4564 


46 


6530 


489 


.454 457 


5350 


10 




3 


1020 1590 








482 




46 




489 




5345 






4 


2160 2120 


28 





0.095 2666 




0.995 4618 




095 7019 




10.449 112 







32 


5 


2700 2650 




10 


3149 


483 


4472 


46 


7508 


489 


.443 773 


5339 


50 




b 


3240 3180 
3780 3710 




20 


3632 


483 


4425 


47 


7998 


490 


.438 439 


5334 


40 




8 


1320 4240 




30 


4114 


482 


4379 


46 


8487 


489 


.433 111 


5328 


30 




9 


4860 4770 




40 


4597 


483 


4333 


46 


8976 


489 


427 788 


5323 


20 








50 


5079 


482 


4287 


46 


9465 


489 


422 470 


5318 


10 




5200 








483 




47 




490 




5312 






1 520 


29 





0.095 5562 




0.995 4240 




095 9955 




10.417 168 







31 


2 1040 
3 1560 




10 


6045 


483 


4194 


46 


00960444 


489 


.411 851 


5307 


50 




4 2080 




20 


6527 


482 


4148 


46 


0933 


489 


.406 550 


5301 


40 




5 2600 




30 


7010 


483 


4101 


47 


1423 


490 


.401 254 


52% 


30 




6 3120 




40 


7492 


482 


4055 


46 


1912 


489 


.395 963 


5291 


20 




7 3640 
8 4100 




50 


7975 


483 


4008 


47 


2401 


489 


390 677 


5286 


10 




9 4080 








483 




46 




489 




5280 








30 





0.095 8458 




0.995 3962 




0.096 2890 




10.385 397 







30 








Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



84 30' 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
5 30' 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 


30 





0.096 8468 




0.996 3962 




0.096 2890 




10.386 397 







30 








10 
20 


8940 
9423 


482 
483 


3916 
3869 


46 
47 


3380 
3869 


490 
489 


.380 122 
.374 853 


5275 
5269 


50 
40 






Sine 




30 


9905 


482 


3822 


47 


4358 


489 


.369 588 


5265 


30 






482 483 




40 
50 


0.096 0388 
0870 


483 
482 


3776 
3729 


46 
47 


4848 
5337 


490 
489 


.364 329 
.359 076 


5259 
5253 


20 
10 




1 

2 
3 


48 2 48 3 
90 4 96 6 
144 6 144 9 








483 




46 




489 




5 249 






4 


192 8 193 2 


31 





0.096 1353 




0.996 3683 




0.096 5826 




10.353 827 







29 


5 


241 241 5 




10 


1836 


483 


3636 


47 


6316 


490 


.348 584 


5243 


50 







289 2 289 8 




20 
30 


2318 
2801 


482 
483 


3589 
3543 


47 
46 


6805 
7294 


489 
489 


.343 346 
338 114 


5238 
5232 


40 
30 




7 
8 
9 


337 4 338 1 
385 6 386 4 
433 8 434 7 




40 


3283 


482 


3496 


47 


7784 


490 


.332 886 


5 228 


20 










50 


3766 


483 


3449 


47 


8273 


489 


.327 664 


5222 


10 














482 




46 




490 




5217 










32 



10 


096 4248 
4731 


483 


0.996 3403 
3356 


47 


0.096 8763 
9252 


489 


10.322 447 
.317 236 


5211 



50 


28 




Cosine 




20 


5213 


482 


3309 


47 


9741 


489 


.312 029 


5 207 


40 






46 47 48 




30 
40 


5696 
6179 


483 
483 


3262 
3216 


47 
46 


097 0231 
0720 


490 
489 


.306 828 
301 632 


5201 
5196 


30 
20 




1 

2 

3 


46 47 48 
92 94 96 
13 8 14 1 14 4 




50 


6661 


482 


3169 


47 


1209 


489 


.296 441 


5 191 


10 




4 


18 4 18 8 19 2 








483 




47 




490 




5 186 






5 


23 23 5 24 


33 





096 7144 




0.995 3122 




097 1699 




10 291 265 







27 





27 b 28 2 28 8 




10 
20 


7626 
8109 


482 
483 


3075 
3028 


47 
47 


2188 
2678 


489 
490 


.286 075 
.280 899 


5 180 
5176 


50 
40 




7 
8 
9 


32 2 32 q 33 6 
30 8 37 38 4 
41 4 42 3 43 2 




30 


8591 


482 


2981 


47 


3167 


489 


.275 729 


5 170 


30 










40 


9074 


483 


2934 


47 


3656 


489 


.270 564 


5 165 


20 










50 


9556 


482 


2887 


47 


4146 


490 


265404 


5 160 


10 














483 




47 




489 




5155 










34 





0.097 0039 




0.995 2840 




0.097 4635 




10 260 249 







26 




Tangent 




10 


0521 


482 


2793 


47 


5125 


490 


255 099 


5 150 


50 






489 490 




20 
30 
40 


1004 
1486 
1969 


483 
482 
483 


2746 
2699 
2652 


47 
47 
47 


5614 
6103 
6593 


489 
489 
490 


249 955 
244815 
239 681 


5 144 
5140 
5134 


40 
30 
20 




1 

3 
4 


48 9 49 
97 8 98 
140 7 147 
195 6 190 




50 


2451 


482 


2605 


47 


7082 


489 


234 552 


5 129 


10 




5 


244 5 245 








483 




48 




490 




5 124 








6 


293 4 294 


35 



10 
20 


097 2934 
3416 
3899 


482 
483 


0.996 2667 
2510 
2463 


47 
47 


097 7672 
8061 
8551 


489 
490 


10 229 428 
224 308 
219 194 


5120 
5114 



50 
40 


25 


8 
9 


342 3 343 
391 2 392 
440 1 441 




30 


4381 


482 


2416 


47 


9040 


489 


.214 085 


5 109 


30 










40 


4864 


483 


2369 


47 


9530 


490 


208 982 


5 103 


20 










50 


5346 


482 
483 


2321 


48 
47 


098 0019 


489 
490 


203883 


5 099 
5094 


10 






Cotangent 


36 





097 5829 




0.995 2274 




0.098 0509 




10 198 789 







24 




5300 5200 




10 
20 
30 


6311 
6794 
7276 


482 
483 
482 


2227 
2179 
2132 


47 
48 
47 


0998 
1488 
1977 


489 
490 
489 


.193 700 
.188 616 
.183 538 


5089 
5084 
5078 


50 
40 
30 




1 
2 
3 
4 




530 520 
1000 1040 
1590 1500 
2120 2080 




40 


7759 


483 


2085 


47 


2467 


490 


.178464 


5074 


20 








2650 2600 




50 


8241 


482 
483 


2037 


48 
47 


2956 


489 
490 


.173 395 


5069 
5063 


10 




7 




3180 3120 
3710 3610 


37 



10 


097 8724 
9206 


482 


0.995 1990 
1942 


48 


0.098 3446 
3935 


489 


10.168 332 
.163 273 


5059 



50 


23 


8 
9 




4240 4 KM) 
4770 4080 




20 


9689 


483 


1895 


47 


4425 


490 


.158219 


5054 


40 






5100 5000 




30 


098 0171 


482 


1847 


48 


4914 


489 


.153 170 


5 049 


30 




I 




510 500 




40 
50 


0654 
1136 


483 
482 
483 


1800 
1752 


47 
48 
47 


5404 
5893 


490 
489 
490 


.148 127 
.143 088 


5 043 
5039 
5034 


20 
10 




3 
4 




1020 1000 
1530 1500 
2040 2000 


38 



10 


0.098 1619 
2101 


482 


0.995 1706 
1657 


48 


098 6383 
6872 


489 


10.138 054 
.133 025 


5029 



50 


22 


5 
6 

7 




2550 2500 
3060 3000 
3570 3500 




20 
30 


2584 
3066 


483 
482 


1609 
1562 


48 

47 


7362 

7851 


490 
489 


.128001 
.122 982 


5024 
5019 


40 
30 




8 
9 




4080 4000 
4590 4500 




40 


3549 


483 


1514 


48 


8341 


490 


.117968 


5 014 


20 










50 


4031 


482 
483 


1466 


48 
47 


8830 


489 
490 


.112 959 


5009 
5005 


10 






1 490 




























2 980 


39 





0.098 4514 




0.995 1419 




0.098 9320 




10.107 954 







21 




3 1470 




10 


4996 


482 


1371 


48 


9809 


489 


.102 955 


4999 


50 






4 1960 




20 
30 
40 


5479 
5961 
6443 


483 
482 
482 


1323 
1275 
1228 


48 
48 
47 


099 0299 
0789 
1278 


490 
490 
489 


.097 960 
.092 971 
.087 986 


4995 
4989 
4985 


40 
30 
20 






5 2450 
2940 
7 3430 
8 3920 




50 


6926 


483 


1180 


48 


1768 


490 


.083006 


4980 


10 






9 4410 








482 




48 




489 




4975 










40 





0.098 7408 




0.995 1132 




0.099 2257 




10.078 031 







20 










Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff. 


" 


' 


Proportional Parts 



84 20' 



SINES, COSINES, TANGENTS AND COTANGENTS 
6 40' 



f 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff. 






Proportional Parts 


40 





0.098 7408 




0.995 1132 




0.099 2257 




10.078 031 







20 








10 


7891 


483 


1084 


48 


2747 


490 


.073 061 


4970 


50 










20 


8373 


482 


1036 


48 


3236 


489 


.068096 


4965 


40 










30 


8856 


483 


0988 


48 


3726 


490 


.063 135 


4961 


30 










40 


9338 


482 


0940 


48 


4216 


490 


.058 180 


4955 


20 










50 


9821 


483 


0892 


48 


4705 


489 


.053 229 


4951 


10 














482 




48 




490 




4946 








Sine 


41 





0.099 0303 




0.995 0844 




0.099 5195 




10.048 283 







19 








10 


0785 


482 


0796 


48 


5685 


490 


.043 342 


4941 


50 






482 483 




20 
30 


1268 
1750 


483 
482 


0748 
0700 


48 
48 


6174 
6664 


489 
490 


.038 405 
.033 474 


4937 
4931 


40 
30 




1 


48 2 48 3 
96 4 9b b 
Hi 6 144 9 




40 


2233 


483 


0652 


48 


7153 


489 


028 547 


4927 


20 




4 


192 8 193 2 




50 


2715 


482 


0604 


48 


7643 


490 


.023 625 


4 922 


10 




5 


241 241 5 








482 




48 




490 




4917 






6 


289 2 289 8 


42 



10 


0.099 3197 
3680 


483 


0.995 0556 
0508 


48 


0.099 8133 
8622 


489 


10.018 708 
013 796 


4912 



50 


18 


7 
8 
9 


337 4 338 1 
385 6 386 4 
433 8 434 7 




20 


4162 


482 


0459 


49 


9112 


490 


.008 888 


4908 


40 










30 


4645 


483 


0411 


48 


9602 


490 


003 985 


4903 


30 










40 


5127 


482 


0363 


48 


0.1000091 


489 


9.999 0870 


48980 


20 










50 


5610 


483 


0315 


48 


0581 


490 


994 1936 


48 934 


10 






Cosine 








482 




49 




490 




48886 










43 





0.099 6092 




0.995 0266 




0.100 1071 




9.989 3050 







17 


48 49 50 




10 
20 
30 


6574 
7057 
7539 


482 
483 
482 


0218 
0170 
0121 


48 
48 
49 


1560 
2050 
2540 


489 
490 
490 


9844211 
979 5420 
.974 6675 


48839 
48791 
48745 


50 
40 
30 




1 

3 
4 


48 49 50 
9 6 98 10 
111 14 7 15 
19 2 19 b 20 




40 


8022 


483 


0073 


48 


3029 


489 


969 7978 


48 697 


20 




f. 


24 21 5 25 




50 


8504 


482 
482 


0025 


48 
49 


3519 


490 
490 


.964 9328 


48650 
48604 


10 




6 

7 


28 8 2<) 4 30 
33 6 34 3 35 


44 



10 


0.099 8986 
9469 


483 


0.994 9976 
9928 


48 


0.100 4009 
4498 


489 


9.960 0724 
.955 2168 


48556 




50 


16 


8 
9 


38 4 39 2 40 
43 2 44 1 45 




20 


9951 


482 


9879 


49 


4988 


490 


.950 3659 


48509 


40 










30 


0.100 0433 


482 


9831 


48 


5478 


490 


945 5196 


48463 


30 










40 
50 


0916 
1398 


483 
482 
483 


9782 
9734 


49 
48 
49 


5968 
6457 


490 
489 
490 


.940 6780 
.935 8410 


48 416 
48370 
48322 


20 
10 






Tangent 

489 490 


45 



10 
20 


0.100 1881 
2363 

2845 


482 
482 


0.994 9686 
9637 
9588 


48 
49 


0.100 6947 
7437 
7927 


490 
490 


9.931 0088 
926 1811 
.921 3582 


48277 
48229 



50 
40 


15 


1 

3 
4 


48 9 49 
97 8 98 
146 7 147 
195 6 196 




30 


3328 


483 


9539 


49 


8416 


489 


.916 5398 


48 184 


30 




5 


244 5 245 




40 
50 


3810 
4292 


482 
482 
483 


9491 
9442 


48 
49 
49 


8906 
9396 


490 
490 
490 


.911 7261 
.906 9170 


48 137 
48091 
48045 


20 
10 




b 
7 
8 
9 


293 4 294 
342 3 343 
391 2 392 
440 1 441 


46 





0.100 4775 




0.994 9393 




0.100 9886 




9.902 1126 







14 








10 


5257 


482 


9345 


48 


0.101 0375 


489 


.897 3127 


47 998 


50 










20 


5740 


483 


9296 


49 


0865 


490 


.892 5174 


47 953 


40 










30 
40 
50 


6222 
6704 
7187 


482 
482 
483 
482 


9247 
9198 
9149 


49 
49 
49 
48 


1355 
1845 
2334 


490 
490 
489 
490 


887 7267 
.882 9407 
.878 1592 


47907 
47860 
47815 
47 769 


30 
20 
10 




Cotangent 

50000 49000 

1 5 000 4 900 


























2 1 


000 9 800 


47 



10 


0.100 7669 
8151 


482 


0.994 9101 
9052 


49 


0.101 2824 
3314 


490 


9.873 3823 
.868 6099 


47724 



50 


13 


3 1 
4 1 


5 000 14 700 
000 19 600 




20 
30 
40 


8634 
9116 
9598 


483 
482 
482 


9003 
8954 
8905 


49 
49 
49 


3804 
4294 
4783 


490 
490 
489 


.863 8422 
.859 0789 
.854 3203 


47677 
47633 
47586 


40 
30 
20 




6 i 

7 ; 

8 4 


5 000 24 500 
000 29 400 
5 000 34 300 
000 39 200 




50 


0.101 0081 


483 


8856 


49 


5273 


490 


.849 5662 


47 541 


10 




9 4 


5 000 44 100 








482 




49 




490 




474% 










48 





0.101 0563 




0.994 8807 




0.101 5763 




9.844 8166 







12 


48000 47000 




10 
20 
30 


1045 
1528 
2010 


482 
483 
482 


8758 
8709 
8660 


49 
49 
49 


6253 
6743 
7232 


490 
490 
489 


840 0715 
.835 3310 
.830 5950 


47451 
47405 
47360 


50 
40 
30 




1 

2 
3 1 
4 1 


4 800 4 700 
9 600 9 400 
4 400 14 100 
9 200 18 800 




40 


2492 


482 


8611 


49 


7722 


490 


.825 8635 


47 315 


20 




5 1 


4 000 23 500 




50 


2975 


483 
482 


8562 


49 
49 


8212 


490 
490 


.821 1365 


47 270 
47225 


10 




6 i 

7 I 


8 800 28 200 
3 600 32 900 


49 



10 


0.101 3457 
3939 


482 


0.994 8513 
8464 


49 


0.101 8702 
9192 


490 


9.816 4140 
.811 6960 


47180 



50 


11 


8 I 
9 4 


8 400 37 600 
3 200 42 300 




20 


4422 


483 


8414 


50 


9682 


490 


.806 9825 


47 135 


40 










30 


4904 


482 


8365 


49 


0.102 0171 


489 


.802 2735 


47 090 


30 










40 


5386 


482 


8316 


49 


0661 


490 


.797 5689 


47 046 


20 










50 


5868 


482 


8267 


49 


1151 


490 


.792 8688 


47001 


10 














483 




50 




490 




46 956 










50 





0.101 6351 




0.994 8217 




0.102 1641 




9.788 1732 







10 










Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



84 10' 



36 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
6 60' 



' 


" 


Sine 


Diff. 


Cosine 


Diff. 


Tangent 


Diff 


Cotangent 


Diff. 






Proportional Parts 


60 





0.101 6351 




0.994 8217 




0.102 1641 




9.788 1732 







10 






10 


6833 


482 


8168 


49 


2131 


490 


.783 4820 


46912 


50 








20 


7315 


482 


8119 


49 


2621 


490 


.778 7953 


46 867 


40 








30 


7798 


483 


8070 


49 


3111 


490 


.774 1130 


46823 


30 








40 


8280 


482 


8020 


50 


3601 


490 


.769 4352 


46 778 


20 








50 


8762 


482 


7971 


49 


4091 


490 


.764 7617 


46 735 


10 












483 




50 




489 




46690 








61 





0.101 9245 




0.994 7921 




0.102 4680 




9.760 0927 







9 


Sine 




10 


9727 


482 


7872 


49 


5070 


490 


.755 4282 


46645 


50 




482 483 




20 


0.102 0209 


482 


7823 


49 


5560 


490 


.750 7680 


46602 


40 




1 48 2 48 3 




30 
40 
50 


0691 
1174 
1656 


482 
483 
482 
482 


7773 
7724 
7674 


50 
49 
50 
49 


6050 
6540 
7030 


490 
490 
490 
490 


.746 1122 
.741 4609 
.736 8139 


46558 
46513 
46470 
46426 


30 
20 
10 




2 96 4 96 6 
3 144 6 144 9 
4 192 8 193 2 
5 241 241 5 

6 289 2 289 8 


62 





0.102 2138 




0.994 7625 




0.102 7620 




9.732 1713 







8 


7 337 4 338 1 




10 
20 


2621 
3103 


483 
482 


7575 
7525 


50 
50 


8010 
8500 


490 
490 


.727 5331 
.722 8992 


46382 
46339 


50 
40 




8 385 6 386 4 
9 433 8 434.7 




30 


3585 


482 


7476 


49 


8990 


490 


.718 2698 


46 294 


30 








40 
50 


4067 
4550 


482 
483 


7426 
7376 


50 
50 


9480 
9970 


490 
490 


.713 6446 
.709 0239 


46252 
46207 


20 
10 




Cosine 








482 




49 




490 




46 164 






49 50 51 


53 



10 


0.102 6032 
5514 


482 


0.994 7327 
7277 


50 


0.103 0460 
0950 


490 


9.704 4076 
.699 7954 


46121 




50 


7 


1 

2 


49 50 51 
98 10 10 2 




20 
30 
40 
50 


5996 
6479 
6961 
7443 


482 
483 
482 
482 


7227 
7178 
7128 
7078 


50 
49 
50 
50 


1440 
1930 
2420 
2909 


490 
490 
490 
489 


.695 1877 
.690 5843 
.685 9852 
.681 3904 


46077 
46034 
45991 
45948 


40 
30 
20 
10 




3 
4 
5 
6 


14 7 15 15 3 
19 6 20 20 4 
24 5 25 25 5 
29 4 30 30 6 
34 3 35 35 7 








482 




50 




490 




45904 






8 


39 2 40 40 8 


64 





0.102 7926 




0.994 7028 




0.103 3399 




9.676 8000 







6 


9 


44 1 45 45 9 




10 


8408 


483 


6978 


50 


3889 


490 


.672 2138 


45 862 


50 








20 


8890 


482 


6928 


50 


4379 


490 


.667 6320 


45 818 


40 








30 
40 
50 


9372 
9854 
0.103 0337 


482 
482 
483 
482 


6879 
6829 
6779 


49 
50 
50 
50 


4869 
5359 
5849 


490 
490 
490 
491 


.663 0544 
.658 4812 
.653 9122 


45 776 
45732 
45690 
45647 


30 
20 
10 




< 
1 


Tangent 

189 490 491 

48 9 49 49 1 
97 8 98 98 2 


65 





0.103 0819 




0.994 6729 




0.103 6340 




9.649 3475 







5 


3 


146 7 147 147 3 




10 


1301 


482 


6679 


50 


6830 


490 


.644 7870 


45 605 


50 




4 


195 6 196 196 4 




20 
30 
40 


1783 
2265 
2748 


482 
482 
483 


6629 
6579 
6529 


50 
50 
50 


7320 
7810 
8300 


490 
490 
490 


.640 2308 
.635 6789 
.631 1312 


45562 
45519 
45477 


40 
30 
20 




5 
6 

7 
8 


244 5 245 245 5 
293 4 294 294 6 
342 3 343 343 7 
391 2 392 392 8 




50 


3230 


482 


6479 


50 


8790 


490 


.626 5878 


45 434 


10 




9 


440 1 441 441 9 








482 




51 




490 




45392 








56 



10 
20 


0.103 3712 
4194 
4677 


482 
483 


0.994 6428 
6378 
6328 


50 
50 


0.103 9280 
9770 
0.104 0260 


490 
490 


9 622 0486 
.617 5137 
.612 9829 


45349 
45308 



50 
40 


4 


Cotangent 




30 


5159 


482 


6278 


50 


0750 


490 


.608 4564 


45 265 


30 




47 000 46 000 




40 
50 


5641 
6123 


482 
482 
482 


6228 
6178 


50 
50 
51 


1240 
1730 


490 
490 
490 


.603 9341 
.599 4160 


45 223 
45181 
45138 


20 
10 




1 

2 
3 


4 700 4 600 
9 400 9 200 
14 100 13 800 




























18 800 18 400 


67 



10 


0.103 6605 
7088 


483 


0.994 6127 
6077 


50 


0.104 2220 
2710 


490 


9.694 9022 
590 3925 


45097 



50 


3 


5 
6 


23 500 23 000 
28 200 27 600 




20 


7570 


482 


6027 


50 


3200 


490 


585 8870 


45 055 


40 




7 


32 900 32 200 




30 
40 


8052 
8534 


482 
482 


5976 
5926 


51 
50 


3690 
4180 


490 
490 


.581 3857 
.576 8886 


45 013 
44971 


30 
20 




8 
9 


37 600 36 800 
42 300 41 400 




50 


9016 


482 
483 


5876 


50 
51 


4671 


491 
490 


.572 3956 


44930 
44888 


10 




45 000 44 000 


























1 


4 500 4 400 


68 



10 
20 
30 
40 
50 


0.103 9499 
9981 
0.1040463 
0945 
1427 
1909 


482 
482 
482 
482 
482 
483 


0.994 5825 

5775 
5725 
5674 
5624 
5573 


50 
50 
51 
50 
51 
50 


0.104 5161 
5651 
6141 
6631 
7121 
7611 


490 
490 
490 
490 
490 
490 


9.567 9068 
.563 4222 
.558 9417 
554 4654 
.549 9933 
.545 5252 


44846 
44805 
44763 
44721 
44681 
44639 



50 
40 
30 
20 
10 


2 


2 
3 
4 
5 
6 
7 
8 
9 


9 000 8 800 
13 500 13 200 
18 000 17 600 
22 500 22 000 
27 000 26 400 
31 500 30 800 
36 000 35 200 
40 500 39 600 


69 



10 


0.104 2392 
2874 


482 


0.994 6523 
5472 


51 


0.104 8101 
8592 


491 


9.541 0613 
536 6016 


44597 



50 


1 






20 


3356 


482 


5421 


51 


9082 


490 


.532 1459 


44 557 


40 








30 


3838 


482 


5371 


50 


9572 


490 


.527 6944 


44 515 


30 








40 


4320 


482 


5320 


51 


0.105 0062 


490 


.523 2470 


44 474 


20 








50 


4802 


482 


5270 


50 


0552 


490 


.518 8037 


44 433 


10 












483 




51 




490 




44392 








60 





0.104 5285 




0.994 5219 




0.105 1042 




9.614 3646 
















Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff. 


" 


' 


Proportional Parts 



84 00' 



SINES, COSINES, TANGENTS AND COTANGENTS 
6 00' 



37 



' 


" 


Sine 


Diff 


Cosine 


Diff. 


Tangent 


Diff. 


Cotangent 


Diff 






Proportional Parts 








0.104 5286 




0.994 5219 




0.105 1042 




9.514 3645 







60 








10 


5767 


482 


5168 


51 


1533 


491 


.509 9293 


44352 


50 










20 


6249 


482 


5118 


50 


2023 


490 


.505 4983 


44310 


40 










30 


6731 


482 


5067 


51 


2513 


490 


.501 0713 


44270 


30 










40 


7213 


482 


5016 


51 


3003 


490 


.496 6485 


44228 


20 










50 


7695 


482 


4965 


51 


3493 


490 


.492 2297 


44188 


10 






Sine 








483 




51 




490 




44 148 










1 



10 
20 


0.104 8178 
8660 
9142 


482 
482 


0.994 4914 
4864 
4813 


50 
51 


0.105 3983 
4474 
4964 


491 
490 


9.487 8149 
.483 4043 
.478 9976 


44106 
44067 



50 
40 


59 


1 

2 
3 


482 483 

48 2 48 3 
96 4 96 6 
144 6 144 9 




30 


9624 


482 


4762 


51 


5454 


490 


.474 5951 


44025 


30 




4 


192 8 193 2 




40 


0.105 0106 


482 


4711 


51 


5944 


490 


.470 1965 


43986 


20 




5 


241 241 5 




50 


0588 


482 
482 


4660 


51 
51 


6435 


491 
490 


.465 8020 


43945 
43904 


10 




6 

7 


289 2 289 8 
337 4 338 1 


2 





0.105 1070 




0.994 4609 




0.105 6925 




9.461 4116 







58 


8 
9 


385 6 380 4 
433 8 434 7 




10 


1552 


482 


4558 


51 


7415 


490 


.457 0251 


43 865 


50 










20 


2035 


483 


4507 


51 


7905 


490 


.452 6427 


43824 


40 










30 


2517 


482 


4456 


51 


8395 


490 


4482643 


43 784 


30 










40 


2999 


482 


4405 


51 


8886 


491 


.443 8899 


43744 


20 






Cosine 




50 


3481 


482 


4354 


51 


9376 


490 


.439 5195 


43 704 


10 




50 51 52 








482 




51 




490 




43664 










3 





0.105 3963 




0.994 4303 




105 9866 




9.435 1531 







67 


1 5 5 1 5 2 
2 10 10 2 10 4 




10 


4445 


482 


4252 


51 


106 0356 


490 


.430 7907 


43 624 


50 




3 15 15 3 15 6 




20 


4927 


482 


4201 


51 


0847 


491 


.426 4323 


43 584 


40 




4 20 20 4 20 8 




30 
40 


5409 
5892 


482 
483 


4150 
4098 


51 
52 


1337 
1827 


490 
490 


.422 0779 
.417 7274 


43544 
43505 


30 
20 




5 25 25 5 26 
6 WO 30 6 31 2 
7 35 35 7 36 4 




50 


6374 


482 


4047 


51 


2318 


491 


.413 3809 


43 465 


10 




8 40 40 8 41 6 








482 




51 




490 




43 425 






y i: 


45 9 46 8 


4 





0.105 6856 




0.994 3996 




0.106 2808 




9.409 0384 







56 








10 


7338 


482 


3945 


51 


3298 


490 


.404 6999 


43 385 


50 










20 
30 


7820 
8302 


482 
482 


3893 
3842 


52 
51 


3788 
4279 


490 
491 


.400 3653 
.396 0346 


43 346 
43307 


40 
30 






Tangent 




40 


8784 


482 


3791 


51 


4769 


490 


.391 7079 


43 267 


20 






490 491 




50 


9266 


482 


3739 


52 


5259 


490 


.387 3851 


43 228 


10 




1 


49 49 1 








482 




51 




491 




43 188 






2 


98 98 2 


6 



10 
20 
30 


0.105 9748 
106 0230 
0712 
1194 


482 
482 
482 


0.994 3688 
3637 
3585 
3534 


51 
52 
51 


0.106 5750 
6240 
6730 
7221 


490 
490 
491 


9.383 0663 
.378 7514 
3744404 
.370 1333 


43149 
43110 
43071 



50 
40 
30 


55 


4 

5 



147 147 3 
196 196 4 
245 245 5 
294 294 
343 343 7 




40 
50 


1677 
2159 


483 
482 


3482 
3431 


52 
51 


7711 
8201 


490 
490 


.365 8301 
.361 5309 


43 032 
42992 


20 
10 




8 
9 


392 392 8 
4U 441 9 








482 




52 




491 




42954 










6 





106 2641 




0.994 3379 




106 8692 




9 367 2365 







54 








10 
20 


3123 
3605 


482 
482 


3328 
3276 


51 
52 


9182 
9672 


490 
490 


352 9441 
.348 6565 


42 914 
42876 


50 
40 




Cotangent 




30 


4087 


482 


3225 


51 


107 0163 


491 


344 3728 


42 837 


30 




45 000 44 000 




40 
50 


4569 
5051 


482 
482 
482 


3173 
3122 


52 
51 
52 


0653 
1144 


490 
491 
490 


.340 0930 
.335 8171 


42 798 
42759 
42721 


20 
10 




1 4 
2 9 
3 13 


500 4 400 
000 8 800 
500 13 200 


























1 18 


000 17 600 


7 



10 


106 5533 
6015 


482 


0.994 3070 
3018 


52 


0.107 1634 
2124 


490 


9.331 5450 
327 2768 


42682 



50 


53 


5 22 500 22 000 
b 27 000 26 400 




20 
30 
40 


6497 
6979 
7461 


482 
482 
482 


2967 
2915 
2863 


51 
52 
52 


2615 
3105 
3595 


491 
490 
490 


323 0125 
.318 7520 
.314 4954 


42 643 
42605 
42566 


40 
30 
20 




7 31 500 30 800 
8 36 000 35 200 
9 40 500 39 600 




50 


7943 


482 
482 


2811 


52 
51 


4086 


491 
490 


.310 2426 


42 528 
42490 


10 




43000 42000 


8 



10 


0.106 8425 
8907 


482 


0.994 2760 
2708 


52 


0.107 4576 
5067 


491 


9.306 9936 
.301 7485 


42451 



50 


52 


1 4 300 4 200 
2 8 600 8 400 
3 12 900 12 600 




20 


9389 


482 


2656 


52 


5557 


490 


297 5072 


42 413 


40 




4 17 200 10 800 




30 
40 
50 


9871 
0.1070353 
0836 


482 
482 
483 


2604 
2552 
2500 


52 
52 
52 


6048 
6538 
7028 


491 
490 
490 


293 2697 
289 0360 
2848062 


42 375 
42337 
42298 


30 
20 
10 




5 21 500 21 000 
6 25 800 25 200 
7 30 100 29 400 
8 34 400 33 600 I) 








482 




52 




491 




42 260 






9 38 700 37 800 


9 





0.107 1318 




0.994 2448 




0.107 7619 




9.280 6802 







51 








10 


1800 


482 


2396 


52 


8009 


490 


.276 3579 


42 223 


50 










20 


2282 


482 


2344 


52 


8500 


491 


272 1395 


42 184 


40 










30 


2764 


482 


2292 


52 


8990 


490 


.267 9248 


42 147 


30 










40 


3246 


482 


2240 


52 


9481 


491 


.263 7139 


42 109 


20 










50 


3728 


482 


2188 


52 


9971 


490 


.259 5069 


42 070 


10 














482 




52 




491 




42 034 










10 





0.107 4210 




0.994 2136 




0.108 0462 




9.255 3036 







50 










Cosine 


Diff. 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


- 


' 


Proportional Parts 



83 50' 



38 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 



6 10' 



' 


" 


Sine 


Diff. 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff. 






Proportional Parts 


10 





0.107 4210 




0.994 2136 




0.108 0462 




9.255 3035 







50 








10 


4692 


482 


2084 


52 


0952 


490 


.251 1040 


41995 


50 










20 


5174 


482 


2032 


52 


1443 


491 


.246 9082 


41958 


40 










30 


5656 


482 


1980 


52 


1933 


490 


.242 7162 


41920 


30 










40 


6138 


482 


1928 


52 


2424 


491 


.238 5279 


41 883 


20 










50 


6620 


482 


1876 


52 


2914 


490 


.234 3434 


41845 


10 






Sine 








482 




53 




491 




41807 










11 





0.107 7102 




0.994 1823 




0.108 3405 




9.230 1627 







49 




481 482 




10 
20 


7584 
8066 


482 
482 


1771 
1719 


52 
52 


3895 
4386 


490 
491 


.225 9856 
.221 8123 


41 771 
41733 


50 
40 




1 

2 
3 


48 1 48 2 
96 2 96 4 
144 3 144 6 




30 


8548 


482 


1667 


52 


4876 


490 


.217 6428 


41 695 


30 




4 


192 4 192 8 




40 


9030 


482 


1614 


53 


5367 


491 


.213 4770 


41 658 


20 




5 


2 tO 5 241 




50 


9512 


482 
482 


1562 


52 
52 


5857 


490 
491 


.209 3148 


41 622 
41584 


10 




6 

7 


288 6 289 2 
330 7 337 4 


12 





0.107 9994 




0.994 1510 




0.108 6348 




9.205 1664 







48 


8 



384 8 385 6 
432 9 433 8 




10 


108 0476 


482 


1457 


53 


6838 


490 


.201 0017 


41 547 


50 










20 


0958 


482 


1405 


52 


7329 


491 


.196 8508 


41 509 


40 










30 
40 


1439 
1921 


481 
482 


1352 
1300 


53 
52 


7819 
8310 


490 
491 


.192 7035 
.188 5599 


41 473 
41436 


30 
20 






Cosine 




50 


2403 


482 


1248 


52 


8800 


490 


.184 4200 


41 399 


10 




52 53 54 








482 




53 




491 




41362 






1 5 2 5 3 54 


13 





0.108 2885 




0.994 1195 




108 9291 




9 180 2838 







47 


2 10 4 10 10 8 




10 
20 
30 
40 


3367 
3849 
4331 
4813 


482 
482 
482 
482 


1143 
1090 
1037 
0985 


52 
53 
53 
52 


9782 
0.109 0272 
0763 
1253 


491 
490 
491 
490 


.176 1512 
.172 0224 
.167 8972 
.163 7756 


41 326 
41288 
41252 
41216 


50 
40 
30 
20 




3 15 6 15 9 16 2 
4 20 8 21 2 21 6 
5 20 26 5 27 
' 6 31.2 31 8 32 4 
7 36.4 37 1 37 8 




50 


5295 


482 
482 


0932 


53 
52 


1744 


491 
490 


.1596578 


41 178 
41142 


10 




8 11 (3 42 4 43 2 

9 16 8 47 7 48 


14 





0.108 5777 




0.994 0880 




0.109 2234 




9.155 5436 







46 








10 


6259 


482 


0827 


53 


2725 


491 


151 4330 


41 106 


50 










20 
30 


6741 
7223 


482 
482 


0774 
0722 


53 
52 


3216 
3706 


491 
490 


.147 3261 
.143 2228 


41 069 
41033 


40 
30 






Tangent 




40 


7705 


482 


0669 


53 


4197 


491 


.139 1232 


40996 


20 






490 491 




50 


8187 


482 


0616 


53 


4687 


490 


135 0272 


40960 


10 




1 


49 49 1 








482 




53 




491 




40924 






2 


98 98 2 


15 



10 
20 
30 


108 8669 
9151 
9633 
0.1090115 


482 
482 
482 


0.994 0563 
0511 
0458 
0405 


52 
53 
53 


0.109 5178 
5669 
6159 
6650 


491 
490 
491 


9 130 9348 
.1268461 
.122 7609 
.1186794 


40887 
40852 
40815 



50 
40 
30 


45 


3 
4 

5 
6 

7 


147 147 3 
196 196 4 
245 245 5 
29 i 294 
343 343 7 




40 


0596 


481 


0352 


53 


7141 


491 


.1146015 


40 779 


20 




8 


392 392 8 




50 


1078 


482 


0299 


53 


7631 


490 


110 5272 


40 743 


10 




9 


441 441 9 








482 




53 




491 




40 708 










16 





109 1560 




994 0246 




0.109 8122 




9.106 4564 







44 








10 
20 
30 
40 
50 


2042 
2524 
3006 
3488 
3970 


482 
482 
482 
482 
482 


0193 
0140 
0087 
0034 
993 9981 


53 
53 
53 
53 
53 


8613 
9103 
9594 
0.1100085 
0575 


491 
490 
491 
491 
490 


102 3893 
098 3258 
094 2658 
.090 2094 
.086 1566 


40 671 
40635 
40600 
40564 
40528 


50 
40 
30 
20 
10 




Cotangent 

42 000 41 000 

1 4 200 4 100 
2 8 400 8 200 
3 12 000 12 300 








482 




53 




491 




40 492 






4 If) 


800 16 400 


17 





0.109 4462 




993 9928 




0.110 1066 




9 082 1074 







43 


5 21 000 20 500 




10 
20 
30 


4934 
5416 
5897 


482 
482 
481 


9875 
9822 
9769 


53 
53 
53 


1557 
2047 
2538 


491 
490 
491 


.078 0617 
.074 0196 
0699811 


40457 
40421 
40385 


50 
40 
30 




6 25 200 24 000 
7 29 400 28 700 
8 33 000 32 800 
9 37 800 30 900 




40 


6379 


482 


9716 


53 


3029 


491 


.065 9461 


40 350 


20 










50 


6861 


482 


9663 


53 


3520 


491 


061 9146 


40 315 


10 




40 000 39 000 








482 




53 




490 




40279 






1 \ 


000 3 900 


18 



10 
20 
30 


0.109 7343 
7825 
8307 
8789 


482 
482 
482 


0.993 9610 
9556 
9503 
9450 


54 
53 
53 


0.110 4010 
4501 
4992 
5482 


491 
491 
490 


9 067 3867 
.053 8623 
.049 8415 
045 8241 


40244 
40208 
40174 



50 
40 
30 


42 


'2 8 000 7 800 
3 12 000 11 700 
4 100000 15 GOO 
5 20 000 19 500 
24 000 23 400 




40 
50 


9271 
9753 


482 
482 
481 


9397 
9343 


53 
54 
53 


5973 
6464 


491 
491 
491 


.041 8103 
.037 8000 


40 138 
40103 
40067 


20 
10 




7 28 000 27 300 
8 32 000 31 200 
9 30 000 35 100 


19 





0.110 0234 




0.993 9290 




0.110 6965 




9.033 7933 







41 








10 


0716 


482 


9237 


53 


7445 


490 


029 7900 


40033 


50 










20 


1198 


482 


9183 


54 


7936 


491 


025 7902 


39998 


40 










30 


1680 


482 


9130 


53 


8427 


491 


.021 7940 


39962 


30 










40 


2162 


482 


9076 


54 


8918 


491 


017 8012 


39928 


20 










50 


2644 


482 


9023 


53 


9409 


491 


.013 8119 


39893 


10 














482 




54 




490 




39 858 










20 





0.110 3126 




993 8969 




0.110 9899 




9.009 8261 







40 










Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff. 


" 


' 


Proportional Parts 



83 40' 



SINES, COSINES, TANGENTS AND COTANGENTS 
6 20' 



39 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff. 






Proportional Partt. 


20 



10 


0.110 3126 
3607 


481 


0.993 8969 
8916 


53 


0.110 9899 
0.111 0390 


491 


9.009 8261 
.005 8438 


39823 



50 


40 






20 


4089 


482 


8862 


54 


0881 


491 


.001 8650 


39 788 


40 








30 
40 
50 


4571 
5053 
5535 


482 
482 
482 
482 


8809 
8755 
8702 


53 
54 
53 
54 


1372 
1863 
2353 


491 
491 
490 
491 


8.997 8896 
.993 9177 
.989 9493 


39 754 
39719 
39684 
39650 


30 
20 
10 




Sine 


21 



10 
20 


0.110 6017 
6498 
6980 


481 
482 


0.993 8648 
8595 
8541 


53 
54 


0.111 2844 
3335 
3826 


491 
491 


8.985 9843 
.982 0228 
.978 0647 


39615 
39581 



50 
40 


39 


1 


481 482 

48 1 48 2 
96 2 96 4 
114 3 114 6 




30 


7462 


482 


8487 


54 


4317 


491 


.974 1101 


39 546 


30 




i 


I 192 4 192 8 




40 
50 


7944 
8426 


482 
482 
482 


8433 
8380 


54 
53 
54 


4807 
5298 


490 
491 
491 


.970 1589 
.9662111 


39 512 
39478 
39443 


20 
10 




( 


) 240 5 241 

> 288 6 289 2 
1 356 7 337 4 


22 



10 


0.110 8908 
9389 


481 


0.993 8326 
8272 


54 


0.111 6789 
6280 


491 


8.962 2668 
.958 3259 


39409 



50 


38 


i 

i 


5 384 8 385 6 
) 4'52 9 433 8 




20 


9871 


482 


8218 


54 


6771 


491 


.954 3884 


39375 


40 








30 
40 


111 0353 
0835 


482 
482 


8165 
8111 


53 
54 


7262 

7753 


491 
491 


.950 4544 
.946 5237 


39340 
39307 


30 
20 




Cosine 




50 


1317 


482 


8057 


54 


8243 


490 


.942 5965 


39272 


10 




53 54 55 








482 




54 




491 




39239 






1 


5 3 5 4 5 5 


23 



10 
20 
30 
40 


111 1799 
2280 
2762 
3244 
3726 


481 
482 
482 
482 


0.993 8003 
7949 
7895 
7841 
7787 


54 
54 
54 
54 


111 8734 
9225 
9716 
0.1120207 
0698 


491 
491 
491 
491 


8 938 6726 
.934 7522 
930 8352 
.926 9215 
9230112 


39204 
39170 
39137 
39103 



50 
40 
30 
20 


37 


3 
4 
5 
b 


10 6 10 8 11 
l r > 9 16 2 16 5 
21 2 21 22 
26 5 27 27 5 
31 8 32 4 33 
57 1 37 8 38 5 




50 


4208 


482 
481 


7733 


54 

54 


1189 


491 
491 


.919 1044 


39 068 
39035 


10 




8 
9 


42 4 43 2 410 
47 7 48 6 49 5 


24 





0.111 4689 




0.993 7679 




0.112 1680 




8 915 2009 







36 






10 


5171 


482 


7625 


54 


2171 


491 


.911 3007 


39 002 


50 








20 
30 
40 
50 


5653 
6135 
6616 
7098 


482 
482 
481 
482 
482 


7571 
7517 
7463 
7409 


54 
54 
54 
54 
54 


2662 
3152 
3643 
4134 


491 
490 
491 
491 
491 


.907 4040 
.903 5105 
899 6205 
.895 7338 


38 967 
38935 
38900 
38867 
38833 


40 
30 
20 
10 




4 

1 

3 1 


Tangent 

90 491 492 

1 ( 4 ( > 1 49 2 
98 98 2 98 4 
47 147 3 147 G 


26 





111 7580 




0.993 7355 




0.112 4625 




8 891 8505 







35 


4 1 


96 1Mb 4 196 8 




10 


8062 


482 


7300 


55 


5116 


491 


.887 9705 


38 800 


50 




5 - 


4"> 245 5 246 




20 
30 
40 


8544 
9025 
9507 


482 
481 
482 


7246 
7192 
7138 


54 
54 
54 


5607 
6098 
6589 


481 
491 
491 


884 0939 
.880 2205 
.876 3506 


38 766 
38734 
38699 


40 
30 
20 




to . 

7 . 
8 . 
9 


94 294 6 295 2 
H 343 7 344 4 
92 392 8 393 6 
11 441 9 442 8 




50 


9989 


482 


7083 


55 


7080 


491 


.872 4839 


38667 


10 












482 




54 




491 




38 633 








26 



10 


112 0471 
0952 


481 


993 7029 
6975 


54 


0.112 7671 
8062 


491 


8.868 6206 
.864 7606 


38600 




50 


34 


Cotangent 




20 


1434 


482 


6920 


55 


8553 


491 


.860 9039 


38 567 


40 




40 000 39 000 




30 


1916 


482 


6866 


54 


9044 


491 


.857 0506 


38 533 


30 




j 


4 000 3 900 




40 
50 


2398 
2879 


482 
481 
482 


6812 
6757 


54 
55 
54 


9535 
113 0026 


491 
491 
491 


.853 2005 
.849 3537 


38 501 
38468 
38434 


20 
10 




2 
3 
4 


8 000 7 800 
12 000 11 700 
16000 15 000 


27 



10 


112 3361 
3843 


482 


0.993 6703 
6648 


55 


113 0517 
1008 


491 


8.845 5103 
.841 6701 


38402 



50 


33 


5 
6 

7 


20 000 19 500 
24 000 23 100 
28 000 27 300 




20 
30 


4325 
4806 


482 
481 


6594 
6539 


54 
55 


1499 
1990 


491 
491 


.837 8332 
.833 9996 


38 369 
38336 


40 
30 




8 
9 


52 000 31 200 
36 000 35 100 




40 
50 


5288 
5770 


482 
482 
482 


6485 
6430 


54 
55 
55 


2481 
2972 


491 
491 
491 


.830 1693 
.826 3423 


38 303 
38270 
38237 


20 
10 




1 


38 000 37 000 

3 800 3 700 

7 600 7 400 


28 





0.112 6262 




993 6376 




0.113 3463 




8.822 6186 







32 


3 


11 400 11 100 




10 
20 
30 
40 


6733 
7215 
7697 
8178 


481 
482 
482 
481 


6321 
6266 
6212 
6157 


54 
55 
54 
55 


3954 
4445 
4936 
5427 


491 
491 
491 
491 


.818 6981 
.814 8809 
.811 0669 
.807 2562 


38 205 
38172 
38140 
38107 


50 
40 
30 
20 




4 

b 

7 

8 


15 200 14 800 
19 000 18 500 
22 800 22 200 
26 600 25 900 
30 400 29 600 




50 


8660 


482 


6102 


55 


5918 


491 


.803 4488 


38 074 


10 




9 


34 200 33 300 








482 




55 




492 




38 042 








29 



10 
20 
30 


0.112 9142 
9624 
0.113 0105 
0587 


482 
481 
482 


0.993 6047 
5993 
5938 
5883 


54 
55 
55 


0.113 6410 
6901 
7392 
7883 


491 
491 
491 


8.799 6446 
.795 8436 
.792 0459 
.788 2514 


38010 
37977 
37945 



50 
40 
30 


31 






40 
50 


1069 
1550 


482 
481 
482 


5828 
5773 


55 
55 
54 


8374 
8865 


491 
491 
491 


.784 4602 
.780 6722 


37 912 
37880 
37848 


20 
10 






30 





0.113 2032 




0.993 5719 




0.113 9366 




8.776 8874 







30 








Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



83 30' 



40 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 



6 30' 



' 


" 


Sine 


Diff 


Cosine 


Diff. 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 


30 





0.113 2032 




0.993 6719 




0.113 9366 




8.776 8874 







30 






10 


2514 


482 


5664 


55 


9847 


491 


.773 1058 


37 816 


50 








20 


2996 


482 


5609 


55 


0.1140338 


491 


.769 3274 


37784 


40 








30 


3477 


481 


5554 


55 


0829 


491 


.765 5523 


37751 


30 








40 


3959 


482 


5499 


55 


1321 


492 


.761 7804 


37719 


20 








50 


4441 


482 
481 


5444 


55 
55 


1812 


491 
491 


.758 0116 


37688 
37655 


10 




Sine 


31 





0.113 4922 




0.993 6389 




0.114 2303 




8.754 2461 







29 


481 482 




10 


5404 


482 


5334 


55 


2794 


491 


.750 4837 


37624 


50 




1 


48 1 48 2 




20 
30 


5886 
6367 


482 
481 


5279 
5224 


55 
55 


3285 
3776 


491 
491 


.746 7246 
.742 9686 


37591 
37560 


40 
30 




2 
3 
4 


96 2 96 4 
144 3 144 6 
192 4 192 8 




40 


6849 


482 


5169 


55 


4267 


491 


.739 2158 


37528 


20 




5 


240 5 241 




50 


7331 


482 
481 


5113 


56 
55 


4759 


492 
491 


.735 4662 


37496 
37464 


10 




6 

7 


288 6 289 2 
336 7 337 4 


32 



10 


0.113 7812 
8294 


482 


0.993 5068 
5003 


55 


0.114 5250 
5741 


491 


8.731 7198 
.727 9765 


37433 



50 


28 


8 



384 8 385 6 
432 9 433 8 




20 


8776 


482 


4948 


55 


6232 


491 


.724 2364 


37401 


40 








30 


9257 


481 


4893 


55 


6723 


491 


.720 4995 


37369 


30 








40 


9739 


482 


4837 


56 


7214 


491 


.716 7657 


37338 


20 




Cosine 




50 


0.1140221 


482 
481 


4782 


55 
55 


7706 


492 
491 


.713 0351 


37306 
37274 


10 




55 56 57 


33 



10 


114 0702 
1184 


482 


0.993 4727 
4672 


55 


114 8197 
8688 


491 


8.709 3077 
.705 5833 


37244 



50 


27 


1 

2 
3 


55 56 57 
10 11 2 11 4 
6 5 16 8 17 1 




20 


1666 


482 


4616 


56 


9179 


491 


.701 8622 


37211 


40 




4 . 


>2 22 4 22 8 




30 


2147 


481 


4561 


55 


9671 


492 


.698 1441 


37181 


30 




5 


27 5 28 28 5 




40 
50 


2629 
3110 


482 
481 


4505 
4450 


56 
55 


0.1150162 
0653 


491 
491 


.694 4292 
.690 7174 


37149 
37118 


20 
10 




6 

7 
8 


J3 33 34 2 
<8 5 39 2 39 9 
14 44 8 45 6 








482 




55 




491 




37086 






9 


19 5 50 4 51 3 


34 





0.114 3692 




0.993 4395 




0.115 1144 




8.6870088 







26 






10 


4074 


482 


4339 


56 


1635 


491 


.683 3033 


37055 


50 








20 


4555 


481 


4284 


55 


2127 


492 


.679 6009 


37024 


40 








30 


5037 


482 


4228 


56 


2618 


491 


.675 9016 


36993 


30 




Tangent 




40 


5519 


482 


4173 


55 


3109 


491 


.672 2054 


36962 


20 




491 492 




50 


6000 


481 


4117 


56 


3600 


491 


.668 5123 


36931 


10 




1 


49 1 49 2 








482 




55 




492 




36900 






2 


98 2 98 4 


35 



10 


0.114 6482 
6963 


481 


0.993 4062 
4006 


56 


0.116 4092 
4583 


491 


8.664 8223 
.661 1355 


36868 



50 


25 


3 
4 


147 3 147 6 
190 4 196 8 




20 
30 


7445 
7927 


482 
482 


3950 
3895 


56 
55 


5074 
5566 


491 
492 


.657 4517 
.653 7710 


36838 
36807 


40 
30 




5 
6 

7 


245 5 246 
294 6 295 2 
343 7 344 4 




40 


8408 


481 


3839 


56 


6057 


491 


.650 0934 


36776 


20 




8 


392 8 393 6 




50 


8890 


482 


3783 


56 


6548 


491 


.646 4189 


36745 


10 




9 


441 9 442 8 








482 




55 




491 




36714 








36 





0.114 9372 




0.993 3728 




0.115 7039 




8.642 7475 







21 






10 
20 


9853 
115 0335 


481 
482 


3672 
3616 


56 
56 


7531 
8022 


492 
491 


639 0791 
.635 4138 


36684 
36653 


50 
40 


i 


Cotangent 




30 


0816 


481 


3560 


56 


8513 


491 


.631 7516 


36622 


30 




38 000 37 000 




40 


1298 


482 


3505 


55 


9005 


492 


.628 0924 


36592 


20 




1 


3 800 3 700 




50 


1779 


481 
482 


3449 


56 
56 


9496 


491 
491 


.624 4363 


36561 
36530 


10 




2 
3 1 


7 W)0 7 400 
1 400 11 100 


37 



10 


116 2261 
2743 


482 


0.993 3393 
3337 


56 


0.116 9987 
0.1160479 


492 


8.620 7833 
.617 1333 


36500 



50 


23 


4 ] 
5 1 
6 2 


5 200 14 800 
9 000 18 500 
2 800 22 200 




20 


3224 


481 


3281 


56 


0970 


491 


.613 4864 


36 469 


40 




7 2 


600 25 1)00 




30 
40 


3706 
4187 


482 
481 


3225 
3169 


56 
56 


1461 
1953 


491 
492 


.609 8425 
.606 2016 


36439 
36409 


30 
20 




8 3 
9 3 


400 29 600 
4 200 33 300 




50 


4669 


482 


3113 


56 


2444 


491 


.602 5638 


36378 


10 




36000 








482 




56 




492 




36348 






1 3 600 


38 





0.116 6161 




0.993 3067 




0.116 2936 




8.598 9290 







22 


2 1 200 




10 
20 
30 


5632 
6114 
6595 


481 
482 
481 


3001 
2945 
2889 


56 
56 
56 


3427 
3918 
4410 


491 
491 
492 


595 2973 
.591 6685 
.588 0428 


36317 
36288 
36257 


50 
40 
30 




3 10 800 
4 14 400 
5 18 000 
6 21 600 




40 


7077 


482 


2833 


56 


4901 


491 


.584 4201 


36227 


20 




7 25 200 




50 


7558 


481 
482 


2777 


56 
56 


5392 


491 
492 


.580 8004 


36197 
36166 


10 




8 28 800 
9 324000 


39 





0.116 8040 




0.993 2721 




0.116 5884 




8.577 1838 







21 






10 


8521 


481 


2665 


56 


6375 


491 


.573 5701 


36 137 


50 








20 


9003 


482 


2609 


56 


6867 


492 


.569 9595 


36 106 


40 








30 


9485 


482 


2552 


57 


7358 


491 


.566 3518 


36077 


30 








40 


9966 


481 


2496 


56 


7850 


492 


.562 7471 


36047 


20 








50 


0.1160448 


482 


2440 


56 


8341 


491 


.559 1455 


36016 


10 












481 




56 




491 




35987 








40 





0.116 0929 




0.993 2384 




0.116 8832 




8.565 6468 







20 








Cosine 


Diff 


Sm< 1 


Diff 


Cotangent 


Diff 


Tangent 


Diff. 


" 


' 


Proportional Parts 



83 20' 



SINES, COSINES, TANGENTS AND COTANGENTS 
6 40' 



41 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff. 


Cotangent 


Diff. 






Proportional Parts 


40 





0.116 0929 




0.993 2384 




116 8832 




8.656 5468 







20 








10 


1411 


482 


2327 


57 


9324 


492 


551 9511 


35957 


50 










20 


1892 


481 


2271 


56 


9815 


491 


.548 3584 


35927 


40 










30 


2374 


482 


2215 


56 


0.117 0307 


492 


.544 7686 


35898 


30 










40 


2855 


481 


2158 


57 


0798 


491 


.541 1819 


35867 


20 










50 


3337 


482 


2102 


56 


1290 


492 


.537 5981 


35838 


10 














481 




57 




491 




35809 






Sine 


41 



10 
20 


0.116 3818 
4300 
4781 


482 
481 


0.993 2045 
1989 
1933 


56 
56 


0.117 1781 
2273 
2764 


492 
491 


8.634 0172 
.530 4393 
.5268644 


35779 
35749 



50 
40 


19 


481 482 

1 48 1 48 2 

2 96 2 96 4 




30 


5263 


482 


1876 


57 


3256 


492 


.523 2925 


35 719 


30 




3 144 3 144 6 




40 


5744 


481 


1820 


56 


3747 


491 


.519 7235 


35690 


20 




4 192 4 192 8 




50 


6226 


482 
481 


1763 


57 
57 


4239 


492 
491 


.516 1574 


35661 
35631 


10 




5 240 5 241 

6 288 6 289 2 


42 





0.116 6707 




0.993 1706 




0.117 4730 




8 512 6943 







18 


7 336 7 337 4 
8 384 8 385 6 




10 


7189 


482 


1650 


56 


5222 


492 


.509 0341 


35602 


50 




9 432 9 433 8 




20 


7670 


481 


1593 


57 


5713 


491 


.505 4769 


35 572 


40 










30 


8152 


482 


1537 


56 


6205 


492 


.501 9226 


35 543 


30 










40 
50 


8633 
9115 


481 
482 


1480 
1423 


57 
57 


6696 
7188 


491 
492 


.498 3712 
.494 8227 


35 514 
35485 


20 
10 




Cosine 








481 




56 




491 




35455 






56 


57 58 


43 





0.116 9596 




0.993 1367 




0.117 7679 




8 491 2772 







17 


1 56 57 58 




10 


0.1170078 


482 


1310 


57 


8171 


492 


.487 7346 


35 426 


50 




2 11 2 11 4 11 6 




20 
30 
40 
50 


0559 
1041 
1522 
2004 


481 
482 
481 
482 


1253 
1196 
1140 
1083 


57 
57 
56 
57 


8662 
9154 
9645 
01180137 


491 
492 
491 
492 


.484 1949 
.480 6581 
.477 1242 
.473 5932 


35397 
35368 
35339 
35310 


40 
30 
20 
10 




A 16 8 17 1 17 4 

4 22 4 22 8 23 2 
5 28 28 5 29 
6 33 6 34 2 34 8 
7 39 2 39 9 40 6 








481 




57 




491 




35 281 






8 44 8 


45 6 46 4 


44 





0.117 2485 




0.993 1026 




0.118 0628 




8.470 0651 







16 


9 50 4 51 3 52 2 




10 


2967 


482 


0969 


57 


1120 


492 


.466 5399 


35 252 


50 










20 


3448 


481 


0912 


57 


1612 


492 


.463 0176 


35 223 


40 










30 
40 


3930 
4411 


482 
481 


0855 
0798 


57 
57 


2103 
2595 


491 
492 


.459 4982 
.455 9817 


35 194 
35165 


30 
20 




Tangent 




50 


4893 


482 


0742 


56 


3086 


491 


.452 4681 


35136 


10 




491 492 








481 




57 




492 




35 108 






1 49 1 49 2 


45 





0.117 5374 




0.993 0686 




0.118 3578 




8.448 9673 







15 


2 fl 


82 98 4 




10 
20 
30 
40 


5855 
6337 
6818 
7300 


481 
482 
481 
482 


0628 
0571 
0514 
0456 


57 
57 
57 
58 


4070 
4561 
5053 
5544 


492 
491 
492 
491 


.445 4495 
.441 9444 
.438 4423 
434 9430 


35078 
35051 
35021 
34993 


50 
40 
30 
20 




3 147 3 147 6 
4 196 4 196 8 
5 245 5 246 
6 294 6 295 2 
7 343 7 344 4 




50 


7781 


481 
482 


0399 


57 
57 


6036 


492 
492 


.431 4466 


34964 
34935 


10 




8 392 8 393 6 
9 441 9 442 8 


46 





0.117 8263 




0.993 0342 




0.118 6528 




8.427 9531 







14 








10 


8744 


481 


0285 


57 


7019 


491 


424 4623 


34 908 


50 










20 
30 


9226 
9707 


482 
481 


0228 
0171 


57 
57 


7511 
8003 


492 
492 


.420 9745 
417 4895 


34878 
34850 


40 
30 




Cotangent 




40 


0.118 0188 


481 


0114 


57 


8494 


491 


.414 0073 


34 822 


20 




36 000 35 000 




50 


0670 


482 


0056 


58 


8986 


492 


.410 5280 


34793 


10 




1 3 600 3 500 








481 




57 




492 




34 765 






2 720 


00 7 000 


47 



10 
20 
30 


0.118 1151 
1633 
2114 
2595 


482 
481 
481 


0.992 9999 
9942 
9885 
9827 


57 
57 
58 


0.118 9478 
9969 
0.1190461 
0953 


491 
492 
492 


8.407 0515 
.403 5778 
.400 1070 
.396 6390 


34737 
34708 
34680 



50 
40 
30 


13 


3 10 800 10 500 
4 1 4 400 14 000 
5 18 000 17 500 
b 21 600 21 000 
7 25 200 24 500 




40 
50 


3077 
3558 


482 
481 


9770 
9712 


57 
58 


1444 
1936 


491 
492 


.393 1738 
.389 7115 


34652 
34623 


20 
10 




8 28 800 28 000 
9 32 400 31 500 








482 




57 




492 




34 596 










48 



10 
20 


0.118 4040 
4521 
5002 


481 
481 


992 9655 
9598 
9540 


57 
58 


0.119 2428 
2920 
3411 


492 
491 


8.386 2519 
.382 7952 
.379 3413 


34567 
34539 



50 
40 


12 


1 
2 
3 


34000 

3 400 
6800 
10 200 




30 


5484 


482 


9483 


57 


3903 


492 


.375 8902 


34 511 


30 




4 


13 600 




40 
50 


5965 
6447 


481 
482 
481 


9425 
9368 


58 
57 
58 


4395 
4886 


492 
491 
492 


.372 4418 
.3689963 


34 484 
34455 
34427 


20 
10 




5 
6 
7 


17 000 
20 400 
23 800 


























3 


27 200 


49 





0.118 6928 




0.992 9310 




0.119 5378 




8.365 6536 







11 


9 


30600 




10 


7409 


481 


9253 


57 


5870 


492 


.362 1137 


34399 


50 










20 


7891 


482 


9195 


58 


6362 


492 


.358 6765 


34 372 


40 










30 


8372 


481 


9138 


57 


6853 


491 


.355 2422 


34 343 


30 










40 


8854 


482 


9080 


58 


7345 


492 


.351 8106 


34316 


20 










50 


9335 


481 


9022 


58 


7837 


492 


.348 3818 


34288 


10 














481 




57 




492 




34 260 










50 





0.118 9816 




0.992 8965 




0.119 8329 




8.344 9558 







10 










Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff. 


" 





Proportional Parts 



83 10' 



42 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
6 50' 



' 


" 


Sine 


Diff 


Cosine 


Diff. 


Tangent 


Diff 


Cotangent 


Diff. 






Proportional Parts 


50 





0.118 9816 




0.992 8965 




0.119 8329 




8.344 9558 







10 






10 


0.119 0298 


482 


8907 


58 


8820 


491 


.341 5325 


34 233 


50 








20 


0779 


481 


8849 


58 


9312 


492 


.338 1120 


34 205 


40 








30 


1260 


481 


8791 


58 


9804 


492 


.334 6943 


34177 


30 








40 
50 


1742 
2223 


482 
481 


8734 
8676 


57 
58 


0.1200296 
0788 


492 
492 


.331 2793 


34 150 
34122 


20 
10 




Sine 








481 




58 




491 


327 8671 


34094 






481 482 


61 



10 


0.119 2704 
3186 


482 


0.992 8618 
8560 


58 


0.120 1279 
1771 


492 


8.324 4577 
.321 0510 


34067 



50 


9 


1 48 1 48 2 
2 96 2 96 4 




20 


3667 


481 


8502 


58 


2263 


492 


.317 6470 


34 040 


40 




3 144 3 144 6 




30 


4149 


482 


8444 


58 


2755 


492 


314 2458 


34012 


30 




4 192 4 192 8 




40 
50 


4630 
5111 


481 
481 
482 


8387 
8329 


57 
58 
58 


3247 
3739 


492 
492 
491 


310 8473 
.307 4516 


33 985 
33957 
33930 


20 
10 




5 240 5 241 
6 288 6 289 2 
7 330 7 337 4 
8 384 8 385 6 


52 





0.119 5593 




0.992 8271 




0.120 4230 




8.304 0586 







8 


9 432 9 433 8 




10 


6074 


481 


8213 


58 


4722 


492 


300 6683 


33 903 


50 








20 


6555 


481 


8155 


58 


5214 


492 


.297 2808 


33 875 


40 








30 
40 


7037 
7518 


482 
481 


8097 
8039 


58 
58 


5706 
6198 


492 
492 


.293 8960 
.290 5139 


33 848 
33821 


30 
20 




Cosine 




50 


7999 


481 


7981 


58 


6690 


492 


287 1345 


33 794 


10 




57 58 59 








482 




59 




492 




33 766 






1 


57 58 59 


63 



10 
20 
30 


0.119 8481 
8962 
9443 
9924 


481 
481 
481 


0.992 7922 
7864 
7806 
7748 


58 
58 
58 


0.120 7182 
7673 
8165 
8657 


491 
492 
492 


8.283 7579 
.280 3839 
277 0127 
2736441 


33740 
33712 
33686 



50 
40 
30 


7 


2 
3 
4 

6 


11 4 11 6 11 8 
17 1 17 4 17 7 

22 8 23 2 23 6 
28 5 29 29 5 
34 2 34 8 35 4 




40 
50 


0.1200406 
0887 


482 
481 
481 


7690 
7632 


58 
58 
59 


9149 
9641 


492 
492 
492 


.270 2783 
.266 9152 


33 658 
33631 
33605 


20 
10 




8 
9 


39 9 40 6 41 3 
45 6 46 4 47 2 
51 3 52 2 53 1 


64 





120 1368 




0.992 7673 




0.121 0133 




8.263 6647 







6 






10 


1850 


482 


7515 


58 


0625 


492 


260 1970 


33 577 


50 








20 
30 
40 
50 


2331 
2812 
3294 
3775 


481 
481 
482 
481 


7457 
7399 
7340 
7282 


58 
58 
59 
58 


1117 
1609 
2101 
2593 


492 
492 
492 
492 


256 8419 
.253 4895 
250 1398 
.246 7929 


33 551 
33524 
33497 
33469 


40 
30 
20 
10 




1 


Tangent 

491 492 493 

49 1 49 2 49 3 
98 2 98 4 98 6 








481 




58 




492 




33 444 






3 


147 3 147 6 147 9 


55 





0.120 4256 




0.992 7224 




0.121 3086 




8.243 4485 







5 


4 


196 4 196 8 197 2 




10 
20 
30 


4737 
5219 
5700 


481 
482 
481 


7165 
7107 
7048 


59 
58 
59 


3577 
4068 
4560 


492 
491 
492 


.240 1068 
236 7678 
.233 4315 


33 417 
33390 
33363 


50 
40 
30 




5 

6 

7 
8 


245 5 246 246 5 
294 6 295 2 295 8 
343 7 344 4 345 1 
392 8 393 6 394 4 




40 


6181 


481 


6990 


58 


5052 


492 


230 0978 


33 337 


20 




9 


441 9 442 8 443 7 




50 


6663 


482 


6931 


59 


5544 


492 


226 7668 


33 310 


10 












481 




58 




492 




33 284 








56 



10 


120 7144 
7625 


481 


0.992 6873 
6814 


59 


0.121 6036 
6528 


492 


8 223 4384 
220 1127 


33257 



50 


4 


Cotangent 




20 
30 
40 


8106 
8588 
9069 


481 
482 
481 


6756 
6697 
6639 


58 
59 
58 


7020 
7512 
8004 


492 
492 
492 


216 7897 
213 4693 
210 1515 


33 230 
33204 
33178 


40 
30 
20 




i 


35 000 34 000 

3 500 3 400 
7 000 6 800 




50 


9550 


481 
481 


6580 


59 
59 


8496 


492 
492 


.206 8364 


33 151 
33125 


10 




3 
4 


10 500 10 200 
14000 13 600 


57 



10 
20 


121 0031 
0513 
0994 


482 
481 


992 6521 
6463 
6404 


58 
59 


0.121 8988 
9480 
9972 


492 
492 


8.203 6239 
.200 2140 
.196 9068 


33099 
33072 



50 
40 


3 


5 
b 

7 
8 


17 500 17 000 
21 000 20 400 
24 500 23 800 
2X 000 27 200 




30 


1475 


481 


6345 


59 


0.122 0464 


492 


.193 6022 


33046 


30 




9 


31 500 30 600 




40 
50 


1956 
2438 


481 
482 
481 


6286 
6228 


59 
58 
59 


0956 
1449 


492 
493 
492 


.1903002 
.187 0009 


33 020 
32993 
32 968 


20 
10 




1 


33 000 32 000 

3 300 3 200 




























6 600 6 400 


68 



10 


121 2919 
3400 


481 


0.992 6169 
6110 


59 


0.122 1941 
2433 


492 


8.183 7041 
.1804100 


32941 



50 


2 


ii 

4 


9 900 9 600 
13 200 12 800 




20 


3881 


481 


6051 


59 


2925 


492 


.177 1185 


32 915 


40 




5 


16500 16000 




30 
40 
50 


4363 
4844 
5325 


482 
481 
481 


5992 
5933 
5875 


59 
59 
58 


3417 
3909 
4401 


492 
492 
492 


.173 8296 
170 5433 
.167 2596 


32 889 
32863 
32837 


30 
20 
10 




6 
7 
8 
9 


19 800 19 200 
23 100 22 400 
26 400 25 600 
29 700 28 800 








481 




59 




492 




32 810 








69 





01215806 




0.992 5816 




0.122 4893 




8.163 9786 







1 






10 


6287 


481 


5757 


59 


5385 


492 


.160 7001 


32 785 


50 








20 


6769 


482 


5698 


59 


5877 


492 


.157 4242 


32 759 


40 








30 


7250 


481 


5639 


59 


6369 


492 


.154 1509 


32 733 


30 








40 


7731 


481 


5580 


59 


6861 


492 


.150 8801 


32 708 


20 








50 


8212 


481 


5521 


59 


7353 


492 


.147 6120 


32681 


10 












481 




59 




493 




32 656 








60 





0.121 8693 




0.992 5462 




0.122 7846 




8.144 3464 







00 








Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tanpent 


Diff 


" 


' 


Proportional Paits 



83 00' 



SINES, COSINES, TANGENTS AND COTANGENTS 
7 00' 



43 



' 


" 


Sine 


Diff 


Cosine 


Diff. 


Tangent 


Diff 


Cotangent 


Diff 






Propoitional Parts 








0.121 8693 




0.992 5462 




0.122 7846 




8.144 3464 







60 






10 


9175 


482 


5402 


60 


8338 


492 


.141 0834 


32630 


50 








20 


9656 


481 


5343 


59 


8830 


492 


.137 8230 


32 604 


40 








30 


0.122 0137 


481 


5284 


59 


9322 


492 


.134 5652 


32 578 


30 








40 


0618 


481 


5225 


59 


9814 


492 


.131 3099 


32 553 


20 








50 


1099 


481 


5166 


59 


0.123 0306 


492 


.128 0572 


32 527 


10 




Sine 








482 




59 




492 




32 501 








1 



10 
20 
30 


0.122 1681 
2062 
2543 
3024 


481 
481 
481 


0.992 6107 
5047 
4988 
4929 


60 
59 
59 


0.123 0798 
1291 
1783 
2275 


493 
492 
492 


8.124 8071 
.121 5595 
.118 3145 
.115 0720 


32476 
32450 
32425 



50 
40 
30 


69 


481 482 

1 48 1 48 2 
2 96 2 96 4 
3 144 3 144 6 
4 192 4 192 8 




40 
50 


3505 
3986 


481 
481 
482 


4870 
4810 


59 
60 
59 


2767 
3259 


492 
492 
493 


.111 8321 
.108 5947 


32 399 
32374 
32348 


20 
10 




5 240 5 241 
6 288 6 289 2 
7 336 7 337 4 
8 384 8 385 6 


2 



10 


0.122 4468 
4949 


481 


0.992 4751 
4691 


60 


123 3752 
4244 


492 


8 105 3599 
.102 1276 


32323 



50 


68 


9 432 9 433 8 




20 


5430 


481 


4632 


59 


4736 


492 


.098 8979 


32 297 


40 








30 
40 
50 


5911 
6392 
6873 


481 
481 
481 


4573 
4513 
4454 


59 
60 
59 


5228 
5720 
6213 


492 
492 
493 


.095 6707 
0924460 
089 2239 


32 272 
32247 
32221 


30 
20 
10 




Cosine 

59 60 61 








482 




60 




492 




32 197 






1 59 60 61 


3 



10 
20 
30 


122 7366 
7836 
8317 
8798 


481 
481 
481 


0.992 4394 
4335 
4275 
4216 


59 
60 
59 


123 6706 
7197 
7689 
8181 


492 
492 
492 


8 086 0042 
082 7871 
.079 5726 
.076 3605 


32171 
32145 
32121 



50 
40 
30 


57 


2 11 8 12 12 2 
3 17 7 18 18 3 
4 23 6 24 24 4 
5 29 5 30 30 5 
35 4 36 36 6 




40 
50 


9279 
9760 


481 
481 
481 


4156 
4096 


60 
60 
59 


8674 
9166 


493 
492 
492 


.073 1509 
069 9439 


32 0% 
32 070 
32045 


20 
10 




7 41 3 42 42 7 
8 47 2 48 48 8 
9 53 1 510 54 9 


4 



10 


0.123 0241 
0723 


482 


0.992 4037 
3977 


60 


0.123 9668 
0.1240151 


493 


8 066 7394 
.063 5374 


32020 



50 


56 






20 
30 
40 
50 


1204 
1685 
2166 
2647 


481 
481 
481 
481 


3917 
3858 
3798 
3738 


60 
59 
60 
60 


0643 
1135 
1627 
2120 


492 
492 
492 
493 


.060 3378 
.057 1408 
.053 9463 
.050 7543 


319% 
31970 
31945 
31920 


40 
30 
20 
10 




Tangent 

491 492 493 

1 49 1 4<) 2 49 3 

2 98 J 98 4 98 6 








481 




59 




492 




31 8% 






3 117 3 147 6 147 9 


5 



10 
20 
30 
40 


123 3128 
3609 
4090 
4571 
5053 


481 
481 
481 
482 


992 3679 
3619 
3559 
3499 
3439 


60 
60 
60 
60 


0.124 2612 
3104 
3597 
4089 
4581 


492 
493 
492 
492 


8.047 6647 
0443777 
.041 1931 
.0380110 
.034 8314 


31870 
31846 
31821 
317% 



50 
40 
30 
20 


65 


4 1% 4 196 8 197 2 
5 245 5 240 246 5 
6 294 6 295 2 295 8 
7 343 7 344 4 345 1 
8 392 8 393 6 394 4 
9 441 9 442 8 443 7 




50 


5534 


481 


3379 


60 


5074 


493 


.031 6543 


31 771 


10 












481 




60 




492 




31 747 








6 



10 


0.123 6016 
6496 


481 


0.992 3319 
3259 


60 


0.124 5566 
6058 


492 


8 028 4796 
025 3074 


31722 



50 


54 


Cotangent 




20 


6977 


481 


3199 


60 


6551 


493 


022 1377 


31 697 


40 




33 000 32 000 




30 
40 
50 


7458 
7939 
8420 


481 
481 
481 
481 


3140 
3079 
3019 


59 
61 
60 
60 


7043 
7535 
8028 


492 
492 
493 
492 


.018 9705 
.015 8057 
.012 6433 


31 672 
31648 
31624 
31598 


30 
20 
10 




1 3 300 3 200 
2 6 600 6 400 
3 9 900 !) 600 
4 13 200 12 800 


























5 10 500 16 000 


7 





0.123 8901 




0.992 2959 




0.124 8520 




80094835 







53 


6 19 800 19 200 




10 
20 
30 


9382 
9863 
0.1240345 


481 
481 
482 


2899 
2839 
2779 


60 
60 
60 


9012 
9505 
9997 


492 
493 
492 


006 3260 
.003 1711 
.000 0185 


31 575 
31549 
31526 


50 
40 
30 




7 23 100 22 400 
8 26 400 25 600 
9 29 700 28 800 




40 


0826 


481 


2719 


60 


0.1250489 


492 


7 996 8685 


31 500 


20 




31000 




50 


1307 


481 
481 


2659 


60 
60 


0982 


493 
492 


.993 7208 


31 477 
31452 


10 




1 3 100 
2 6200 


8 



10 
20 
30 


0.124 1788 
2269 
2750 
3231 


481 
481 
481 


0.992 2599 
2538 
2478 
2418 


61 
60 
60 


0.125 1474 
1967 
2459 
2952 


493 
492 
493 


7 990 6766 
.987 4329 
984 2925 
.981 1546 


31427 
31404 
31379 



50 
40 
30 


62 


3 9 300 
4 12 400 
5 15 500 
6 18 600 
7 21 700 




40 
50 


3712 
4193 


481 
481 


2358 
2297 


60 
61 


3444 
3936 


492 
492 


.978 0192 
.974 8861 


31 354 
31331 


20 
10 




8 24 800 
9 27 900 








481 




60 




493 




31 306 








9 



10 


0.124 4674 
5155 


481 


0.992 2237 
2177 


60 


0.125 4429 
4921 


492 


7.971 7555 
.968 6273 


31282 



50 


61 






20 


5636 


481 


2116 


61 


5414 


493 


.965 5015 


31 258 


40 








30 
40 
50 


6117 
6598 
7079 


481 
481 
481 


2056 
1995 
1935 


60 
61 
60 


5906 
6399 
6891 


492 
493 
492 


.962 3781 
.959 2571 
.956 1386 


31 234 
31210 
31185 


30 
20 
10 












481 




61 




493 




31 162 








10 





124 7560 




0.992 1874 




0.125 7384 




7.963 0224 







60 








Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



82 50' 



44 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
7 10' 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 


10 





0.124 7560 




992 1874 




0.125 7384 




7.953 0224 







50 








10 


8041 


481 


1814 


60 


7876 


492 


.949 9086 


31 138 


50 










20 


8522 


481 


1753 


61 


8369 


493 


.946 7973 


31 113 


40 










30 


9003 


481 


1693 


60 


8861 


492 


.943 6883 


31090 


30 










40 


9484 


481 


1632 


61 


9354 


493 


.940 5818 


31 065 


20 










50 


9965 


481 
481 


1572 


60 
61 


9846 


492 
493 


.937 4776 


31 042 
31018 


10 






Sine 


11 





0.125 0446 




0.992 1511 




0.126 0339 




7 934 3758 







49 




480 481 




10 


0927 


481 


1451 


60 


0831 


492 


.931 2764 


30 994 


50 




1 


48 48 1 




20 
30 


1408 
1889 


481 
481 


1390 
1329 


61 
61 


1324 
1816 


493 
492 


.928 1794 
.925 0848 


30970 
30946 


40 
30 




2 
3 
4 


96 96 2 
144 114 3 
192 192 4 




40 


2370 


481 


1268 


61 


2309 


493 


.921 9925 


30 923 


20 




5 


240 240 5 




50 


2851 


481 


1208 


60 


2801 


492 


.918 9026 


30899 


10 






288 288 6 








481 




61 




493 




30875 






7 


336 330 7 


12 



10 


0.125 3332 
3813 


481 


0.992 1147 
1086 


61 


0.126 3294 
3786 


492 


7.915 8151 
.912 7299 


30852 



50 


48 


8 
9 


384 384 8 
432 432 9 




20 


4294 


481 


1025 


61 


4279 


493 


.909 6472 


30827 


40 










30 
40 


4775 
5256 


481 
481 


0965 
0904 


60 
61 


4771 
5264 


492 
493 


906 5667 
903 4887 


30805 
30780 


30 
20 






Cosine 




50 


5737 


481 


0843 


61 


5757 


493 


.900 4130 


30 757 


10 




6C 


61 62 








481 




61 




492 




30 734 










13 



10 


0.125 6218 
6699 


481 


992 0782 
0721 


61 


126 6249 
6742 


493 


7.897 3396 
.894 2687 


30709 



50 


47 


1 00 61 02 
2 12 12 2 12 4 
A IS 18 3 18 




20 


7180 


481 


0660 


61 


7234 


492 


.891 2000 


30687 


40 




1 2 


24 4 21 8 




30 
40 


7661 
8142 


481 
481 


0599 
0538 


61 
61 


7727 
8220 


493 
493 


.888 1337 
.885 0698 


30663 
30639 


30 
20 




5 30 30 5 31 
30 30 6 37 2 
7 42 12 7 43 4 




50 


8623 


481 


0477 


61 


8712 


492 


.882 0082 


30 616 


10 




8 48 48 8 49 








481 




61 




493 




30593 






9 5, 


1 54 9 55 8 


14 





0.125 9104 




992 0416 




0.126 9205 




7.878 9489 







46 








10 


9585 


481 


0355 


61 


9697 


492 


875 8920 


30 569 


50 










20 
30 


126 0066 
0547 


481 
481 


0294 
0233 


61 
61 


127 0190 
0683 


493 
493 


872 8374 
869 7851 


30546 
30523 


40 
30 






Tangent 




40 


1028 


481 


0172 


61 


1175 


492 


866 7352 


30499 


20 






492 493 




50 


1509 


481 


0111 


61 


1668 


493 


' 863 6876 


30476 


10 




1 


49 2 49 3 








481 




62 




493 




30453 








98 4 98 


15 



10 
20 


0.126 1990 
2471 
2952 


481 
481 


992 0049 
991 9988 
9927 


61 
61 


127 2161 
2653 
3146 


492 
493 


7.860 6423 
.857 5993 
.854 5586 


30430 
30407 



50 
40 


45 


3 

4 




147 6 1 17 9 

190 8 197 2 
240 240 5 
295 2 295 8 




30 
40 
50 


3432 
3913 
4394 


480 
481 
481 


9866 
9805 
9743 


61 
61 
62 


3639 
4131 
4624 


493 
492 
493 


.851 5203 
.848 4843 
.845 4506 


30 383 
30360 
30337 


30 
20 
10 




7 
8 
9 


344 4 345 1 
393 6 394 4 
442 8 413 7 








481 




61 




493 




30 315 










16 





0.126 4875 




991 9682 




0.127 5117 




7 842 4191 







44 








10 
20 
30 
40 


5356 
5837 
6318 
6799 


481 
481 
481 
481 


9621 
9559 
9498 
9437 


61 
62 
61 
61 


5609 
6102 
6595 
7088 


492 
493 
493 
493 


.839 3900 
836 3632 
833 3387 
.830 3165 


30 291 
30268 
30245 
30222 


50 
40 
30 
20 




Cotangent 

32 000 31 000 

1 3 200 3 100 
2 400 200 




50 


7280 


481 
481 


9375 


62 
61 


7580 


492 
493 


827 2966 


30 199 
30176 


10 




3 9 000 9 300 
4 12 800 12 400 


17 



10 
20 


126 7761 
8242 
8723 


481 
481 


0.991 9314 
9252 
9191 


62 
61 


0.127 8073 
8566 
9059 


493 
493 


7.824 2790 
.821 2636 
.818 2506 


30154 
30130 



50 
40 


43 


5 10 000 15 500 
6 19 200 18 (>0() 
7 22 400 21 700 
8 25 000 24 800 




30 


9203 


480 


9129 


62 


9551 


492 


815 2398 


30 108 


30 




9 28 800 27 900 




40 


9684 


481 


9068 


61 


0.1280044 


493 


.812 2313 


30085 


20 










50 


127 0165 


481 


9006 


62 


0537 


493 


809 2251 


30062 


10 




30 000 29 000 








481 




62 




493 




30039 


































1 3 


nnn n '>. onn n 


18 





0.127 0646 




0.991 8944 




0.128 1030 




7.806 2212 







42 


2 000 5 800 




10 
20 
30 
40 


1127 
1608 
2089 
2570 


481 
481 
481 
481 


8883 
8821 
8760 
8698 


61 
62 
61 
62 


1522 
2015 
2508 
3001 


492 
493 
493 
493 


.803 2196 
.800 2202 
.797 2230 
.794 2282 


30016 
29994 
29972 
29948 


50 
40 
30 
20 




3 9 000 8 700 
4 12000 11600 
5 15 000 14 500 
6 18 000 17 100 
7 21 000 20 300 




50 


3050 


480 
481 


8636 


62 
62 


3493 


492 
493 


.791 2356 


29926 
29903 


10 




8 24 000 23 200 
9 27 000 26 100 


19 





127 3531 




0.991 8574 




0.128 3986 




7 788 2453 







41 








10 


4012 


481 


8513 


61 


4479 


493 


.785 2572 


29881 


50 










20 


4493 


481 


8451 


62 


4972 


493 


.782 2714 


29858 


40 










30 


4974 


481 


8389 


62 


5465 


493 


.779 2878 


29836 


30 










40 


5455 


481 


8327 


62 


5958 


493 


.776 3065 


29813 


20 










50 


5936 


481 


8265 


62 


6450 


492 


.773 3274 


29 791 


10 














480 




61 




49S 




29 768 










20 





0.127 6416 




0.991 8204 




0.128 6943 




7.770 3506 







40 










Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff. 


" 


' 


Proportional Paits 



82 40' 



SINES, COSINES, TANGENTS AND COTANGENTS 
7 20' 



45 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 


20 





0.127 6416 




0.991 8204 




0.128 6943 




7.770 3506 







40 








10 


6897 


481 


8142 


62 


7436 


493 


.767 3760 


29746 


50 










20 


7378 


481 


8080 


62 


7929 


493 


764 4036 


29724 


40 










30 


7859 


481 


8018 


62 


8422 


493 


.761 4335 


29701 


30 










40 


8340 


481 


7956 


62 


8915 


493 


758 4657 


29678 


20 










50 


8821 


481 


7894 


62 


9408 


493 


.755 5000 


29657 


10 














481 




62 




492 




29634 








Sine 


21 



10 
20 
30 


0.127 9302 
9782 
0.1280263 
0744 


480 
481 
481 


0.991 7832 
7770 
7708 
7646 


62 
62 
62 


01289900 
0.1290393 
0886 
1379 


493 
493 
493 


7.762 6366 
.749 5754 
.746 6165 
.743 6597 


29612 
29589 
29568 



50 
40 
30 


39 


1 

3 


180 481 

48 48 1 
96 90 2 
U 144 3 




40 


1225 


481 


7584 


62 


1872 


493 


.740 7052 


29 545 


20 




4 


92 192 4 




50 


1706 


481 
480 


7521 


63 
62 


2365 


493 
493 


.737 7529 


29523 
29501 


10 




5 




210 240 5 

288 288 


22 



10 


128 2186 
2667 


481 


0.991 7459 
7397 


62 


0.129 2858 
3351 


493 


7 734 8028 
.731 8549 


29479 



50 


38 


7 
8 
9 


tfO 330 7 
384 384 8 
432 432 9 




20 


3148 


481 


7335 


62 


3844 


493 


728 9092 


29 457 


40 










30 


3629 


481 


7273 


62 


4337 


493 


725 9658 


29434 


30 










40 
50 


4110 
4590 


481 
480 
481 


7210 
7148 


63 
62 
62 


4830 
5322 


493 
492 
493 


723 0245 
.720 0855 


29413 
29390 
29369 


20 
10 




62 


Cosine 

63 64 


23 





128 5071 




0.991 7086 




129 5816 




7 717 1486 







37 


1 


2 03 04 




10 
20 


5552 
6033 


481 
481 


7024 
6961 


62 
63 


6308 
6801 


493 
493 


.714 2139 
711 2815 


29347 
29324 


50 
40 




'2 12 

3 1H 
4 21 


4 12 12 8 
18 9 19 2 
8 25 2 25 




30 


6514 


481 


6899 


62 


7294 


493 


708 3512 


29303 


30 




5 31 


31 5 32 




40 


6994 


480 


6836 


63 


7787 


493 


705 4231 


29281 


20 




t> '57 


2 37 8 38 i 




50 


7475 


481 
481 


6774 


62 
62 


8280 


493 
493 


702 4972 


29259 
29237 


10 




7 4.'] 
8 49 


1 14 1 44 8 
50 4 51 2 


24 





128 7956 




0.991 6712 




129 8773 




7 699 5735 







36 


9 55 


8 50 7 57 




10 


8437 


481 


6649 


63 


9266 


493 


696 6520 


29215 


50 










20 
30 


8918 
9398 


481 
480 


6587 
6524 


62 
63 


9759 
0.1300252 


493 
493 


693 7326 
690 8154 


29 194 
29172 


40 
30 




Tangent 




40 


9879 


481 


6462 


62 


0745 


493 


687 9004 


29 150 


20 




492 


493 494 




50 


0.129 0360 


481 


6399 


63 


1238 


493 


.684 9876 


29128 


10 




1 4!) 


2 49 3 49 4 








481 




62 




493 




29107 






_' 98 


4 98 98 8 


25 



10 
20 
30 
40 
50 


129 0841 
1321 
1802 
2283 
2764 
3244 


480 
481 
481 
481 
480 


0.991 6337 
6274 
6211 
6149 
6086 
6023 


63 
63 
62 
63 
63 


130 1731 
2224 
2717 
3210 
3703 
4197 


493 
493 
493 
493 
494 


7.682 0769 
.679 1685 
676 2621 
673 3580 
.670 4560 
.667 5561 


29084 
29064 
29041 
29020 
28999 



50 
40 
30 
20 
10 


35 


3 117 
4 1% 
5 240 

d 295 
7 344 

8 393 

9 442 


b 147 9 148 2 
8 197 2 197 
) 240 5 247 
2 295 8 290 4 
4 345 1 345 8 
i 394 4 395 2 
S 443 7 444 








481 




62 




493 




28977 










26 



10 


129 3725 
4206 


481 


991 5961 
5898 


63 


0.130 4690 
5183 


493 


7.664 6584 
.661 7629 


28955 



50 


34 


Cotangent 




20 


4687 


481 

JOA 


5835 


63 

CO 


5676 


493 


.658 8695 


28 934 

no 019 


40 




30 000 29 000 




30 
40 


5167 
5648 


4oU 

481 


5772 
5710 


DO 

62 


6169 
6662 


493 
493 


655 9782 
653 0892 


IA ylS 

28890 


30 
20 




1 3 000 2 900 
'2 h 000 5 800 




50 


6129 


481 
480 


5647 


63 
63 


7155 


493 
493 


650 2022 


28870 
28848 


10 




3 9 000 8 700 
1 12000 11 GOO 


27 



10 
20 


129 6609 
7090 
7571 


481 
481 


991 5584 
5521 
5458 


63 
63 


0.130 7648 
8141 
8634 


493 
493 


7.647 3174 
644 4347 
641 5542 


28827 
28805 



50 
40 


33 


5 15 000 14 500 
18 000 17 400 
7 21 000 20 300 
8 24 000 2'} 200 




30 


8052 


481 


5395 


63 


9127 


493 


.638 6758 


28 784 


30 




9 27 000 20 100 




40 
50 


8532 
9013 


480 
481 
481 


5332 
5269 


63 
63 
63 


9621 
131 0114 


494 
493 
493 


635 7995 
.632 9254 


28763 
28741 
28721 


20 
10 




1 


28000 

2 800 


28 



10 


0.129 9494 
9974 


480 


0.991 5206 
5143 


63 


0.131 0607 
1100 


493 


7 630 0533 
627 1834 


28699 



50 


32 


3 
4 


5 000 
8 400 
11 200 




20 


0.1300455 


481 


5080 


63 


1593 


493 


6243157 


28 677 


40 




r } 


14 000 




30 
40 
50 


0936 
1416 
1897 


481 
480 
481 


5017 
4954 
4891 


63 
63 
63 


2086 
2579 
3073 


493 
493 
494 


.621 4500 
.618 5865 
.615 7251 


28 657 
28635 
28614 


30 
20 
10 






7 
8 
9 


10800 
19 MM) 
22 400 
25200 








481 




63 




493 




28 594 










29 





0.130 2378 




0.991 4828 




131 3566 




7.612 8657 







31 








10 


2859 


481 


4765 


63 


4059 


493 


.610 0085 


28 572 


50 










20 


3339 


480 


4702 


63 


4552 


493 


.607 1535 


28 550 


40 










30 


3820 


481 


4638 


64 


5045 


493 


.604 3005 


28 530 


30 










40 


4301 


481 


4575 


63 


5539 


494 


.601 4496 


28 509 


20 










50 


4781 


480 


4512 


63 


6032 


493 


.598 6008 


28 488 


10 














481 




63 




493 




28 467 










30 





0.130 5262 




0.991 4449 




131 6525 




7.695 7541 







30 










Cosine 


Diff 


Pine 


Diff 


Cotangent 


Diff 


Tangent 


Diff. 


" 


' 


Proportional Parts 



82 30' 



46 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
7 30' 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 


30 



10 


0.130 5262 
5743 


481 


0.991 4449 
4385 


64 


0.131 6526 
7018 


493 


7.696 7641 
.592 9095 


28446 



50 


30 




Sine 




20 


6223 


480 


4322 


63 


7511 


493 


.590 0670 


28425 


40 




480 481 




30 
40 


6704 
7185 


481 
481 


4259. 
4195 


63 
64 


8005 
8498 


494 
493 


.587 2266 
.584 3883 


28404 
28383 


30 
20 




1 48 48 1 
2 96 96 2 
3 144 144 3 




50 


7665 


480 


4132 


63 


8991 


493 


.581 5521 


28 362 


10 




4 192 192 4 








481 




63 




493 




28342 






5 240 240 5 


31 



10 
20 


0.130 8146 
8627 
9107 


481 
480 


0.991 4069 
4005 
3942 


64 
63 


0.131 9484 
9978 
0.1320471 


494 
493 


7.578 7179 
.575 8859 
.573 0559 


28320 
28300 



50 
40 


29 


6 288 288 6 
7 336 336 7 
8 384 384 8 
9 432 432 fl 




30 


9588 


481 


3878 


64 


0964 


493 


.570 2280 


28279 


30 










40 


0.131 0068 


480 


3815 


63 


1457 


493 


567 4021 


28259 


20 




Cosine 




50 


0549 


481 


3751 


64 


1951 


494 


.564 5784 


28 237 


10 




63 


64 65 








481 




63 




493 




28217 










32 



10 


131 1030 
1510 


480 


0.991 3688 
3624 


64 


0.132 2444 
2937 


493 


7.661 7567 
.558 9371 


28196 




50 


28 


I 


6 3 
12 6 
18 9 


64 65 
12 8 13 
19 2 19 5 




20 


1991 


481 


3560 


64 


3431 


494 


.556 1195 


28 176 


40 




4 


25 2 


25 6 26 




30 
40 
50 


2472 
2952 
3433 


481 
480 
481 


3497 
3433 
3369 


63 
64 
64 


3924 
4417 
4911 


493 
493 
494 


.553 3040 
.550 4906 
.547 6792 


28 155 
28134 
28114 


30 
20 
10 




5 

6 

8 


31 5 
37 8 
14 1 
50 4 


32 32 5 
38 4 39 
44 8 45 5 
51 2 52 








480 




63 




493 




28 093 






9 


56 7 


57 6 58 5 


33 





0.131 3913 




0.991 3306 




0.132 5404 




7.644 8699 







27 








10 
20 
30 
40 


4394 
4875 
5355 
5836 


481 
481 
480 
481 


3242 
3178 
3115 
3051 


64 
64 
63 
64 


5897 
6391 
6884 
7377 


493 
494 
493 
493 


542 0627 
539 2575 
.536 4543 
.533 6532 


28 072 
28052 
28032 
28011 


50 
40 
30 
20 




Tangent 

493 494 

1 49 3 49 4 
2 98 6 98 8 




50 


6316 


480 
481 


2987 


64 
64 


7871 


494 
493 


.530 8541 


27991 
27970 


10 




3 147 9 118 2 
4 197 2 197 6 


34 



10 
20 


131 6797 
7278 
7758 


481 
480 


0.991 2923 
2859 
2795 


64 
64 


0.132 8364 
8857 
9351 


493 
494 


7.628 0671 
.525 2621 
522 4692 


27950 
27929 



50 
40 


26 


5 246 5 247 
6 295 8 296 4 
7 345 1 345 8 
8 1591 4 395 2 




30 


8239 


481 


2732 


63 


9844 


493 


.519 6783 


27909 


30 




9 443 7 444 6 




40 
50 


8719 
9200 


480 
481 


2668 
2604 


64 
64 


133 0338 
0831 


494 
493 


516 8894 
.514 1026 


27889 
27868 


20 
10 




Cotangent 








481 




64 




493 




27848 










35 



10 


131 9681 
0.132 0161 


480 


0.991 2540 
2476 


64 


0.133 1324 
1818 


494 


7.611 3178 
508 5350 


27828 



50 


25 


i 


28 400 28 200 

2 840 2 820 
5 f 80 5 640 




20 
30 


0642 
1122 


481 
480 


2412 
2348 


64 
64 


2311 
2805 


493 
494 


505 7542 
.502 9755 


27808 
27787 


40 
30 




4 


8 520 8 4MJ 
11 360 11 280 




40 
50 


1603 
2083 


481 
480 


2284 
2220 


64 
64 


3298 
3791 


493 
493 


.500 1988 
.497 4241 


27767 
27747 


20 
10 




1 


14 200 14 100 
17040 16920 
19S80 19740 








481 




65 




494 




27 727 






% 


22 72 


22 560 


36 





0.132 2564 




991 2155 




0.133 4285 




7 494 6614 







24> 


9 


25 560 25 380 




10 


3044 


480 


2091 


64 


4778 


493 


.491 8807 


27 707 


50 










20 


3525 


481 


2027 


64 


5272 


494 


489 1121 


27686 


40 




28 000 27 800 




30 
40 
50 


4006 
4486 
4967 


481 
480 
481 


1963 
1899 
1835 


64 
64 
64 


5765 
6259 
6752 


493 
494 
493 


486 3454 
433 5808 
480 8182 


27667 
27646 
27626 


30 
20 
10 




1 
1 


2 800 2 780 
5 000 5 560 
8 400 8 340 
11 200 11 120 








480 




65 




494 




27 606 






5 


110000 139000 


37 



10 
20 
30 


132 5447 
5928 
6408 
6889 


481 
480 
481 


991 1770 
1706 
1642 
1577 


64 
64 
65 


0.133 7246 
7739 
8233 
8726 


493 
494 
493 


7 478 0576 
.475 2989 
472 5423 
469 7877 


27587 
27566 
27546 



50 
40 
30 


23 


b 

8 
9 


16800 16680 
19600 19460 
22 400 22 240 
25 200 25 020 




40 


7369 


480 


1513 


64 


9220 


494 


467 0350 


27 527 


20 




27 600 27 400 




50 


7850 


481 
480 


1449 


64 
65 


9713 


493 
494 


4642844 


27 506 
27487 


10 




I 


2 760 2 740 
5 520 5 480 


38 



10 
20 


0.132 8330 
8811 
9291 


481 
480 


0.991 1384 
1320 
1255 


64 
65 


134 0207 
0700 
1194 


493 
494 


7.461 6367 
458 7891 
.4560444 


27466 
27447 



50 
40 


22 


3 
4 
5 
6 


8 280 8 220 
110400 109600 
13 800 13 700 
16500 16440 




30 
40 
50 


9772 
0.133 0252 
0733 


481 
480 
481 


1191 
1127 
1062 


64 
64 
65 


1687 
2181 
2674 


493 
494 
493 


.453 3017 
.450 5610 
447 8223 


27 427 
27407 
27387 


30 
20 
10 




7 
8 
9 


19 320 19 180 
22 080 21 920 
24 840 24 660 








480 




65 




494 




27368 








27200 


39 





0.133 1213 




0.991 0997 




0.134 3168 




7.445 0855 







21 


1 


2 720 




10 
20 
30 
40 


1694 
2174 
2655 
3135 


481 
480 
481 
480 


0933 
0868 
0804 
0739 


64 
65 
64 
65 


3661 
4155 
4649 
5142 


493 
494 
494 
493 


.442 3507 
.439 6179 
.436 8871 
.434 1582 


27348 
27328 
27308 
27289 


50 
40 
30 
20 




2 
3 
4 

5 
6 


5440 
8 160 
10 880 
13 600 
16 320 




50 


3616 


481 
480 


0674 


65 
64 


5636 


494 
493 


.431 4313 


27269 
27249 


10 




7 
8 


19 040 
21 760 


40 





0.133 4096 




0.991 0610 




0.134 6129 




7.428 7064 







20 


9 


24 480 






Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff. 


" 


' 


Proportional Parts 



82 20' 



SINES, COSINES, TANGENTS AND COTANGENTS 
7 40' 



47 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff. 


Cotangent 


Diff. 






Proportional Parts 


40 



10 
20 
30 
40 
50 


0.133 4096 
4577 
5057 
5538 
6018 
6499 


481 
480 
481 
480 
481 
480 


0.991 0610 
0545 
0480 
0416 
0351 
0286 


65 
65 
64 
65 
65 
65 


0.134 6129 
6623 
7117 
7610 
8104 
8597 


494 
494 
493 
494 
493 
494 


7.428 7064 
.425 9834 
.423 2624 
.420 5433 
.417 8262 
.415 1110 


27230 
27210 
27191 
27171 
27152 
27132 



50 
40 
30 
20 
10 


20 


Sine 

480 481 

1 48 48 1 
2 96 96 2 
3 141 144 3 
4 192 192 4 
5 240 240 5 


41 



10 


0.133 6979 
7460 


481 


0.991 0221 
0156 


65 


0.134 9091 
9585 


494 


7.412 3978 
.409 6866 


27112 



50 


19 


b 288 288 6 
7 336 336 7 
8 381 384 8 




20 


7940 


480 


0092 


64 


0.135 0078 


493 


.406 9773 


27093 


40 




9 432 432 9 




30 


8421 


481 


0027 


65 


0572 


494 


.404 2699 


27074 


30 








40 
50 


8901 
9381 


480 
480 
481 


0.990 9962 
9897 


65 
65 
65 


1066 
1559 


494 
493 
494 


.401 5645 
.398 8610 


27054 
27035 
27015 


20 
10 




Cosine 

64 65 66 


42 



10 
20 


0.133 9862 
0.134 0342 
0823 


480 
481 


0.990 9832 
9767 
9702 


65 
65 


0.135 2053 
2547 
3040 


494 
493 


7.396 1695 
393 4599 
.390 7623 


269% 
26976 



50 
40 


18' 


1 

2 
3 
4 


04 65 66 
12 8 13 13 2 
19 2 19 5 19 8 
2 r > 6 26 26 4 




30 
40 
50 


1303 
1784 
2264 


480 
481 
480 


9637 
9572 
9507 


65 
65 
65 


3534 
4028 
4522 


494 
494 
494 


3880665 
.385 3727 
.382 6808 


26958 
26938 
26919 


30 
20 
10 




5 
6 

7 
8 


32 32 5 33 
38 4 39 39 6 
44 8 45 5 46 2 
51 2 52 52 8 








480 




65 




493 




26899 






9 


57 6 58 5 59 4 


43 



10 
20 
30 
40 


134 2744 
3225 
3705 
4186 
4666 


481 
480 
481 
480 


0.990 9442 
9377 
9312 
9246 
9181 


65 
65 
66 
65 


135 5015 
5509 
6003 
6496 
6990 


494 
494 
493 
494 


7.379 9909 
.377 3029 
.374 6168 
371 9326 
369 2503 


26880 
26861 
26842 
26823 



50 
40 
30 
20 


17 


Tangent 

493 494 

1 49 3 49 4 

2 98 6 98 8 




50 


5147 


481 
480 


9116 


65 
65 


7484 


484 
494 


.366 5700 


26 803 
26784 


10 




3 147 9 148 2 
4 197 2 197 6 


44 



10 
20 


134 5627 
6107 
6588 


480 
481 


990 9051 
8986 
8920 


65 
66 


0.135 7978 
8471 
8965 


493 
494 


7 363 8916 
.361 2150 
358 5404 


26766 
26746 



50 
40 


16 


5 246 5 247 
6 295 8 296 4 
7 345 1 345 8 
8 394 4 395 2 




30 


7068 


480 


8855 


65 


9459 


494 


355 8677 


26 727 


30 




9 443 7 444 6 




40 
50 


7549 
8029 


481 
480 


8790 
8724 


65 
66 


9953 
0.1360446 


494 
493 


.353 1969 
.350 5280 


26 708 
26689 


20 
10 




Cotangent 








480 




65 




494 




26 670 
































27 20ft 27 nnn 


45 



10 


0.134 8509 
8990 


481 


990 8659 
8594 


65 


0.136 0940 
1434 


494 


7.347 8610 
.345 1960 


26650 



50 


16 


1 


2 720 2 700 
5 440 5 400 




20 
30 
40 
50 


9470 
9950 
0.135 0431 
0911 


480 
480 
481 
480 


8528 
8463 
8397 
8332 


66 
65 
66 
65 


1928 
2422 
2915 
3409 


494 
494 
493 
494 


342 5328 
.339 8715 
.337 2120 
.334 5545 


26 632 
26613 
26595 
26575 


40 
30 
20 
10 




3 

4 

6 


8 160 8 100 
10 880 10 800 
H 600 13 500 
16 ,'20 16200 
10 010 18 900 








481 




66 




494 




26 556 






8 


21 760 21 600 


46 



10 


0.135 1392 
1872 


480 


0.990 8266 
8201 


65 


0.136 3903 
4397 


494 


7 331 8989 
329 2452 


26537 



50 


14 


9 


24 480 24 300 




20 


2352 


480 


8135 


66 


4891 


494 


.326 5933 


26 519 


40 




26 800 26 600 




30 
40 


2833 
3313 


481 
480 
480 


8070 
8004 


65 
66 
66 


5385 
5879 


494 
494 


.323 9433 
.321 2953 


26 500 
26480 
26 462 


30 
20 




1 

3 


2 680 2 660 
5 300 5 320 
8 040 7 980 




50 


3793 




7938 




6372 


493 


.318 6491 




10 




4 


10 720 10 640 








481 




65 




494 




26 444 






r, 


13 100 13 300 


47 



10 
20 
30 


135 4274 
4754 
5234 
5715 


480 
480 
481 


0.990 7873 
7807 
7741 
7676 


66 
66 
65 


0.136 6866 
7360 
7854 
8348 


494 
494 
494 


7 316 0047 
313 3623 
310 7217 
.308 0830 


26424 
26406 
26387 



50 
40 
30 


13 




7 
8 
9 


16080 15960 
IN 70( IS 020 
21 440 21 280 
24 120 23 940 




40 


6195 


480 


7610 


66 


8842 


494 


305 4461 


26 369 


20 




26 400 26 200 




50 


6675 


480 


7544 


66 


9336 


494 


.3028111 


26 350 


10 




1 


2 040 2 620 








481 




66 




494 




26 331 






2 


5 280 5 2 1() 


48 



10 
20 
30 


0.135 7156 
7636 
8116 
8597 


480 
480 
481 


0.990 7478 
7413 
7347 
7281 


65 
66 
66 


0.136 9830 
137 0324 
0817 
1311 


494 
493 
494 


7.300 1780 
.297 5468 
.294 9174 
.292 2899 


26312 
26294 
26275 



50 
40 
30 


12 


3 
4 

6 

7 


7 920 7 S60 
10 560 10 180 
13 200 13 100 
15 8 K) 15 720 
18 480 18 340 




40 
50 


9077 
9557 


480 
480 


7215 
7149 


66 
66 


1805 
2299 


494 
494 


.289 6642 
.287 0404 


26 257 
26238 


20 
10 




8 
9 


21 120 20 960 
23 760 23 580 








481 




66 




494 




26 220 








49 



10 


0.136 0038 
0518 


480 


0.990 7083 
7017 


66 
66 


0.137 2793 
3287 


494 

444 


7.284 4184 
281 7983 


26201 
26 183 



50 


11 


26100 

1 2 filO 
2 5 220 




20 


0998 


480 


6951 




3781 


*W4 


.279 1800 




40 




3 7 830 




30 


1479 


481 


6885 


66 


4275 


494 


.276 5636 


26 164 


30 




4 10 440 




40 
50 


1959 
2439 


480 
480 
480 


6819 
6753 


66 
66 
66 


4769 
5263 


494 
494 
494 


.273 9491 
.271 3363 


26 145 
26128 
26108 


20 
10 




5 13 050 
6 15 660 
7 18 270 


























8 20 880 


60 





0.136 2919 




0.990 6687 




0.137 5767 




7.268 7255 







10 


9 23 490 






Cosine 


Diff 


Sine 


Diff 


Potangont 


Din- 


Tangent 


Diff 


" 


' 


Proportional Parts 



82 10' 



48 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 



7 50' 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 


50 





0.136 2919 




0.990 6687 




0.137 6767 




7.268 7265 







10 






10 
20 


3400 
3880 


481 
480 


6621 
6555 


66 
66 


6251 
6745 


494 
494 


.266 1164 
.263 5092 


26091 
26072 


50 
40 




Sine 




30 


4360 


480 


6489 


66 


7239 


494 


.260 9038 


26054 


30 




480 481 




40 


4841 


481 


6423 


66 


7733 


494 


.258 3003 


26035 


20 




1 48 48 1 




50 


5321 


480 
480 


6356 


67 
66 


8227 


494 
494 


.255 6986 


26 017 
25999 


10 




2 96 96 2 
3 144 144 3 


51 



10 


0.136 5801 
6281 


480 


0.990 6290 
6224 


66 


0.137 8721 
9215 


494 


7.263 0987 
.250 5007 


25980 



50 


9 


4 192 192 4 
5 240 240 5 

6 288 288 6 




20 


6762 


481 


6158 


66 


9709 


494 


.247 9044 


25963 


40 




7 336 336 7 




30 
40 


7242 
7722 


480 
480 


6092 
6025 


66 
67 


138 0203 
0697 


494 
494 


.245 3100 
.242 7175 


25944 
25925 


30 
20 




8 384 384 8 
9 432 432 9 




50 


8202 


480 


5959 


66 


1191 


494 


.240 1267 


25908 


10 












481 




66 




494 




25889 








52 



10 


136 8683 
9163 


480 


990 6893 
5826 


67 


0.138 1685 
2179 


494 


7.237 6378 
.234 9506 


25872 



50 


8 


Cosine 




20 


9643 


480 


5760 


66 


2674 


495 


.232 3653 


25853 


40 




66 67 68 




30 
40 
50 


0.137 0123 
0604 
1084 


480 
481 
480 


5693 
5627 
5561 


67 
66 
66 


3168 
3662 
4156 


494 
494 
494 


.229 7818 
.227 2002 
.224 6203 


25835 
25816 
25799 


30 
20 
10 




3 
4 


66 67 68 
13 2 13 4 13 6 
19 8 20 1 20 4 
26 4 26 8 27 2 








480 




67 




494 




25 781 






5 


33 33 5 34 


53 





137 1664 




0.990 6494 




0.138 4650 




7.222 0422 







7 


6 


39 6 40 2 40 8 




10 
20 
30 


2044 
2525 
3005 


480 
481 
480 


5428 
5361 
5294 


66 
67 
67 


5144 
5638 
6132 


494 
494 
494 


.219 4659 
.216 8915 
.2143188 


25 763 
25744 
25727 


50 
40 
30 




7 
8 
9 


16 2 46 9 47 6 
52 8 53 6 54 4 
59 4 60 3 61 2 




40 


3485 


480 


5228 


66 


6626 


494 


.211 7480 


25708 


20 








50 


3965 


480 


5161 


67 


7121 


495 


209 1789 


25 691 


10 












480 




66 




494 




25 673 






Tangent 


54 



10 


137 4445 
4926 


481 


0.990 5096 
5028 


67 


0.138 7615 
8109 


494 


7 206 6116 
2040461 


25655 



50 


6 


494 495 




20 
30 


5406 
5886 


480 
480 


4961 
4895 


67 
66 


8603 
9097 


494 
494 


201 4825 
.1989206 


25 636 
25619 


40 
30 




1 49 4 49 5 
2 98 8 99 
3 148 2 148 5 




40 


6366 


480 


4828 


67 


9591 


494 


.1963605 


25 601 


20 




4 197 6 198 




50 


6846 


480 
481 


4761 


67 
67 


139 0085 


494 
495 


.193 8021 


25 584 
25565 


10 




5 247 247 5 
6 296 4 297 


56 



10 


0.137 7327 
7807 


480 


0.990 4694 
4628 


66 


139 0580 
1074 


494 


7.191 2466 
.1886908 


25548 



50 


5 


7 345 8 346 5 
8 395 2 396 
9 444 6 445 5 




20 


8287 


480 


4561 


67 


1568 


494 


.186 1379 


25 529 


40 








30 


8767 


480 


4494 


67 


2062 


494 


.183 5867 


25 512 


30 








40 
50 


9247 
9728 


480 
481 


4427 
4360 


67 
67 


2556 
3051 


494 
495 


.181 0372 
.178 4896 


25 495 
25476 


20 
10 




Cotangent 








480 




67 




494 




25459 








56 



10 


0.138 0208 
0688 


480 


990 4293 
4226 


67 


139 3545 
4039 


494 


7 175 9437 
.173 3996 


25441 



50 


41 


1 

2 


*O UVU 49 OW 

2 600 2 580 
5 200 5 160 




20 


1168 


480 


4159 


67 


4533 


494 


170 8573 


25423 


40 




3 


7 800 7 740 




30 


1648 


480 


4092 


67 


5028 


495 


.1683167 


25 406 


30 




4 


10 400 10 320 




40 
50 


2128 
2609 


480 
481 


4025 
3958 


67 
67 


5522 
6016 


494 
494 


165 7779 
.163 2409 


25 388 
25370 


20 
10 




5 
6 

7 


n ooo o 12 900 o 

15 600 15 480 
18 200 18 060 








480 




67 




494 




25 353 






8 


20 800 20 640 


67 





138 3089 




990 3891 




0.139 6510 




7.160 7066 







3 


9 


23 400 23 220 




10 


3569 


480 


3824 


67 


7005 


495 


.158 1721 


25 335 


50 








20 


4049 


480 


3757 


67 


7499 


494 


.155 6403 


25 318 


40 




25 600 25 400 




30 
40 


4529 
5009 


480 
480 


3690 
3623 


67 
67 


7993 
8488 


494 
495 


.153 1103 
.150 5821 


25300 
25282 


30 
20 




1 

3 


2 560 2 540 
5 120 5 080 
7 680 7 620 




50 


5489 


480 


3556 


67 


8982 


494 


.1480556 


25 265 


10 




4 


10 210 10 160 








481 




67 




494 




25 248 






5 


12 800 12 700 


68 





0.138 6970 




990 3489 




139 9476 




7.145 5308 







2 


6 


15 360 15 240 




10 
20 
30 


6450 
6930 
7410 


480 
480 
480 


3421 
3354 
3287 


68 
67 
67 


9970 
140 0465 
0959 


494 
495 
494 


.143 0078 
140 4866 
.137 9671 


25 230 
25212 
25195 


50 
40 
30 




7 
8 
9 


17 920 17 780 
20 480 20 320 
23 040 22 860 




40 


7890 


480 


3220 


67 


1453 


494 


.135 4493 


25 178 


20 




25 200 25 000 




50 


8370 


480 
480 


3152 


68 
67 


1948 


495 
494 


.132 9333 


25 160 
25143 


10 




1 

2 


2 520 2 500 
5 040 5 000 


59 



10 
20 
30 


0.138 8860 
9330 
9811 
139 0291 


480 
481 
480 


0.990 3085 
3018 
2950 
2883 


67 
68 
67 


0.140 2442 
2936 
3431 
3925 


494 
495 
494 


7.130 4190 
.1279064 
.125 3956 
.122 8866 


25126 
25108 
25090 



50 
40 
30 


1 


3 
4 
5 
6 


7 560 7 500 
10 080 10 000 
12 600 12 500 
15 120 15 000 
17 640 17 500 




40 
50 


0771 
1251 


480 
480 


2816 
2748 


67 
68 


4420 
4914 


495 
494 


.1203792 
.1178736 


25 074 
25056 


20 
10 




8 
9 


20 160 20 000 
22 680 22 500 








480 




67 




494 




25039 








60 





0.139 1731 




0.990 2681 




0.140 5408 




7.116 3697 
















Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



82 00' 



SINES, COSINES, TANGENTS AND COTANGENTS 



49 



8 00' 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 








0.139 1731 




0.990 2681 




0.1405408 




7 115 3697 







60 






10 


2211 


480 


2613 


68 


5903 


495 


.1128676 


25021 


50 








20 


2691 


480 


2546 


67 


6397 


494 


.1103671 


25005 


40 




Sine 




30 


3171 


480 


2478 


68 


6892 


495 


.107 8684 


24987 


30 




479 480 481 




40 


3651 


480 


2411 


67 


7386 


494 


.1053714 


24970 


20 




1 


47 9 48 48 1 




50 


4131 


480 


2343 


68 


7880 


494 


.102 8762 


24952 


10 




2 


95 8 90 96 2 








481 




68 




495 




24936 






3 1 


43 7 141 144 3 


1 





0.139 4612 




0.990 2275 




0.140 8375 




7 100 3826 







59 


4 1 


91 6 192 192 4 




10 
20 
30 


5092 
5572 
6052 


480 
480 
480 


2208 
2140 
2072 


67 
68 
68 


8869 
9364 
9858 


494 
495 
494 


.097 8908 
095 4007 
092 9123 


24918 
24901 
24884 


50 
40 
30 




5 2 
6 '2 
7 3 

8 3 


39 5 240 210 5 

87 4 288 288 
35 3 33(5 330 7 
83 '2 384 384 8 




40 


6532 


480 


2005 


67 


141 0353 


495 


090 4256 


24867 


20 




9 4 


31 1 4J2 432 9 




50 


7012 


480 


1937 


68 


0847 


494 


.087 9406 


24850 


10 












480 




68 




495 




24833 








2 



10 


0.139 7492 
7972 


480 


0.990 1869 
1802 


67 


0.141 1342 
1836 


494 


7 086 4673 
.082 9757 


24816 



50 


68 


Cosine 




20 


8452 


480 


1734 


68 


2330 


494 


080 4959 


24 798 


40 




67 68 69 




30 


8932 


480 


1666 


68 


2825 


495 


078 0177 


24782 


30 




1 


07 08 09 




40 
50 


9412 
9892 


480 
480 


1598 
1530 


68 
68 


3319 
3814 


494 
495 


075 5412 
073 0665 


24 765 
24747 


20 
10 




3 
1 


H 4 13 b 13 8 
20 1 20 4 20 7 
2tj 8 27 2 27 








480 




68 




494 




24 731 










3 





140 0372 




990 1462 




141 4308 




7 070 5934 







57 


j* 


35 .") 31 34 , r ) 
10 2 40 8 41 4 




10 


0852 


480 


1394 


68 


4803 


495 


068 1220 


24 714 


50 




7 


! ') 47 48 3 




20 
30 


1332 
1812 


480 
480 


1327 
1259 


67 
68 


5297 
5792 


494 
495 


065 6523 
063 1843 


24697 
24680 


40 
30 




s 

il 


5.i .54 1 55 2 
00 3 61 2 02 1 




40 


2292 


480 


1191 


68 


6287 


495 


060 7180 


24663 


20 








50 


2772 


480 


1123 


68 


6781 


494 


.058 2534 


24646 


10 












480 




68 




495 




24629 








4 





0.140 3252 




0.990 1065 




0.141 7276 




7 055 7906 







66 


Tangent 




10 


3732 


480 


0987 


68 


7770 


494 


053 3292 


24613 


50 




494 495 




20 


4212 


480 


0919 


68 


8265 


495 


050 8697 


24 595 


40 




1 19 4 49 5 




30 
40 


4692 
5172 


480 
480 


0850 
0782 


69 
68 


8759 
9254 


494 
495 


.0484118 
045 9556 


24 579 
24562 


30 
20 




2 % 8 99 
3 US 2 118 5 
4 1'I7 198 




50 


5652 


480 


0714 


68 


9748 


494 


043 5011 


24 545 


10 




5 217 217 5 








480 




68 




495 




24 529 






h 29fo 1 2')7 


5 



10 


140 6132 
6612 


480 


0.990 0646 
0578 


68 


0.142 0243 
0738 


495 


70410482 
.038 5971 


24511 




50 


65 


7 34.') 8 310 5 
h 5M~> 2 390 
9 444 6 41.") 5 




20 


7092 


480 


0510 


68 


1232 


494 


036 1475 


24496 


40 








30 


7572 


480 


0441 


69 


1727 


495 


033 6997 


24 478 


30 








40 


8052 


480 


0373 


68 


2222 


495 


031 2536 


24461 


20 








50 


8532 


480 


0305 


68 


2716 


494 


028 8091 


24445 


10 




Cotangent 








480 




68 




495 




24 429 
































oc nnn tA onn 


6 



10 


0.140 9012 
9492 


480 


0.990 0237 
0168 


69 


0.142 3211 
3705 


494 


7 026 3662 
023 9251 


24411 



50 


64 


1 


2 :)00 '2 480 
.*> 000 1 900 




20 


9972 


480 


0100 


68 


4200 


495 


021 4856 


24395 


40 




3 


7 "iOO 7 140 




30 


0.141 0452 


480 


0032 


68 


4695 


495 


019 0477 


24 379 


30 




4 


10 000 l 920 




40 
50 


0932 
1412 


480 
480 
480 


989 9963 
9895 


69 
68 
69 


5189 
5684 


494 
495 
495 


.0166115 
.014 1770 


24362 
24345 
24329 


20 
10 






7 


2 '00 12 400 
') 000 14 880 
7 '.00 17 300 


























K 


20001) 1<) 810 


7 





0.141 1892 




0.989 9826 




0.142 6179 




7.011 7441 







63 


<) 


22 .'*()() 22 320 




10 


2372 


480 


9758 


68 


6673 


494 


009 3129 


24 312 


50 








20 


2852 


480 


9689 


69 


7168 


495 


.006 8833 


24 296 


40 




24 600 24 400 




30 
40 
50 


3332 
3812 
4292 


480 
480 
480 


9621 
9552 
9484 


68 
69 
68 


7663 
8157 
8652 


495 
494 
495 

JQC 


.004 4554 
.002 0292 
6 999 6045 


24 279 
24262 
24247 
24 229 


30 
20 
10 




2 
3 
4 


2 400 2 440 
4 920 4 880 
7 380 7 320 
9 840 9 7U) 








480 




69 




yyo 










5 


12 300 12 200 


8 





141 4772 




0.989 9415 




0.142 9147 




6.997 1816 







52 


6 


14 7M) 14 010 




10 
20 


5252 
5732 


480 
480 

40A 


9347 
9278 


68 
69 


9642 
0.143 0136 


495 
494 
495 


.994 7602 
.992 3405 


24214 
24197 
24 180 


50 
40 




8 
9 


17 220 17 080 
19 080 19 520 
22 140 21 900 




30 


6212 


45U 


9209 




0631 




.989 9225 




30 








40 


6692 


480 


9141 


68 


1126 


495 


.987 5061 


24 164 


20 




24 200 24 000 




50 


7171 


479 


9072 


69 


1621 


495 


.985 0913 


24 148 


10 




1 


2 420 2 400 








480 




69 




494 




24 132 






u 


1 S40 4 800 


9 



10 
20 


141 7651 
8131 
8611 


480 
480 


0.989 9003 
8934 
8866 


69 
68 


0.143 2115 
2610 
3105 


495 
495 


6.982 6781 
.980 2666 
.977 8567 


24115 
24099 
24 082 



50 
40 


61 


4 

5 



7 200 7 200 
9 080 9 000 
12 10') 12000 
11 i20 11 100 




30 


9091 


480 


8797 


69 


3600 


495 


975 4485 




30 




7 


lh >10 It) 800 ( 




40 
50 


9571 
142 0051 


480 
480 


8728 
8659 


69 
69 


4094 
4589 


494 
495 


.973 0419 
970 6369 


24 066 
24050 


20 
10 




8 
9 


I'l 300 19 200 
21 780 21 GOO 








480 




69 




495 




24 034 








10 





142 0531 




0.989 8590 




0.143 6084 




6.968 2335 







60 








Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



8150' 



50 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
8 10' 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 


10 





0.142 0531 




0.989 8590 




0.143 6084 




6 968 2336 







60 






10 


1011 


480 


8522 


68 


5579 


495 


.965 8318 


24 017 


50 








20 


1491 


480 


8453 


69 


6074 


495 


.963 4317 


24001 


40 




Sine 




30 
40 
50 


1970 
2450 
2930 


479 
480 
480 


8384 
8315 
8246 


69 
69 
69 


6568 
7063 
7558 


494 
495 
495 


961 0331 
.958 6363 
.956 2410 


23 986 
23968 
23953 


30 
20 
10 




479 480 

1 47 9 48 
2 95 8 96 








480 




69 




495 




23 937 






3 143 7 144 


11 





0.142 3410 




0.989 8177 




0.143 8063 




6 953 8473 







49 


4 191 192 




10 


3890 


480 


8108 


69 


8548 


495 


.951 4553 


23 920 


50 




5 239 5 240 




20 
30 


4370 
4850 


480 
480 


8039 
7970 


69 
69 


9043 
9537 


495 
494 


.949 0649 
.946 6761 


23 904 
23888 


40 
30 




6 287 4 288 
7 335 3 336 
8 383 2 384 




40 


5330 


480 


7901 


69 


0.1440032 


495 


.944 2888 


23 873 


20 




9 431 1 432 




50 


5809 


479 


7831 


70 


0527 


495 


.941 9032 


23 856 


10 












480 




69 




495 




23840 








12 



10 


0.142 6289 
6769 


480 


0.989 7762 
7693 


69 


0.144 1022 
1517 


495 


6.939 5192 
937 1369 


23823 



50 


48 


Cosine 




20 


7249 


480 


7624 


69 


2012 


495 


.934 7561 


23 808 


40 




68 69 70 71 




30 


7729 


480 


7555 


69 


2507 


495 


.932 3769 


23 792 


30 




1 


68 69 70 71 




40 


8209 


480 


7486 


69 


3002 


495 


.929 9993 


23 776 


20 




2 \ 


3 6 13 8 14 14 2 




50 


8689 


480 
479 


7416 


70 
69 


3497 


495 
494 


.927 6233 


23 760 
23744 


10 




3 L 

4 1 


4 20 7 21 21 3 

7 2 27 6 28 28 4 


13 



10 


142 9168 
9648 


480 


0.989 7347 
7278 


69 


0.144 3991 
4486 


495 


6.925 2489 
.922 8761 


23728 



50 


47 


5 .' 

7 4 


1 34 5 35 35 5 
08 11 4 12 12 6 

7 6 48 3 4<t 19 7 




20 


143 0128 


480 


7208 


70 


4981 


495 


.920 5049 


23 712 


40 




8 r 


4 4 55 2 56 56 8 




30 


0608 


480 


7139 


69 


5476 


495 


918 1352 


23697 


30 




9 C 


1 2 62 1 63 63 9 




40 


1088 


480 


7070 


69 


5971 


495 


.915 7672 


23 680 


20 








50 


1568 


480 


7000 


70 


6466 


495 


.913 4008 


23 664 


10 












479 




69 




495 




23 649 








14 





143 2047 




0.989 6931 




0.144 6961 




6.911 0359 







46 


Tangent 




10 


2527 


480 


6861 


70 


7456 


495 


908 6726 


23 633 


50 




494 495 4% 




20 


3007 


480 


6792 


69 


7951 


495 


906 3109 


23617 


40 




1 


49 4 49 5 49 




30 
40 
50 


3487 
3967 
4446 


480 
480 
479 
480 


6722 
6653 
6583 


70 
69 
70 
69 


8446 
8941 
9436 


495 
495 
495 
495 


903 9508 
901 5923 
899 2353 


23 601 
23585 
23570 
23554 


30 
20 
10 




2 
4 
6 


98 8 99 99 2 
1 18 2 148 5 148 8 
197 6 198 198 4 
217 247 5 248 
296 4 297 297 6 


15 





143 4926 




989 6514 




144 9931 




6.896 8799 







45 


7 


345 8 346 5 347 2 




10 
20 


5406 
5886 


480 
480 


6444 
6375 


70 
69 


145 0426 
0921 


495 
495 


894 5261 
892 1739 


23 538 
23522 


50 
40 




8 
9 


395 2 396 396 8 
444 6 445 5 446 4 




30 


6366 


480 


6305 


70 


1416 


495 


889 8232 


23 507 


30 








40 


6845 


479 


6235 


70 


1911 


495 


887 4742 


23490 


20 








50 


7325 


480 
480 


6166 


69 
70 


2406 


495 
495 


.885 1266 


23476 
23459 


10 




Cotangent 


16 





143 7806 




989 6096 




145 2901 




6 882 7807 







44^ 


24 000 23 800 




10 
20 
30 


8285 
8764 
9244 


480 
479 
480 


6026 
5957 
5887 


70 
69 
70 


3396 
3891 
4386 


495 
495 
495 


880 4363 
.878 0935 
875 7522 


23 444 
23428 
23413 


50 
40 
30 




i 

2 
t 


2 400 2 380 
4 800 4 760 
7 200 7 1 10 
9 600 9 520 




40 


9724 


480 


5817 


70 


4881 


495 


873 4125 


23 397 


20 




5 


120000 119000 




50 


144 0204 


480 
480 


5747 


70 
70 


5376 


495 
4% 


871 0743 


23 382 
23365 


10 




!i 


14 400 14 2SO 
16 SOO 16 660 


17 



10 


144 0684 
1163 


479 


989 6677 
5608 


69 


145 6872 
6367 


495 


6 868 7378 
866 4027 


23351 



50 


43 


8 
9 


U.'OO 1'UllO 
21 600 21 120 




20 


1643 


480 


5538 


70 


6862 


495 


864 0692 


23 335 


40 




23 600 23 400 




30 


2123 


480 


5468 


70 


7357 


495 


861 7373 


23319 


30 




1 


2 360 2 ,140 




40 
50 


2603 
3082 


480 
479 
480 


5398 
5328 


70 
70 
70 


7852 
8347 


495 
495 
495 


859 4069 
.857 0781 


23304 
23288 
23273 


20 
10 




3 
4 


4 720 4 680 
7 OSO 7 020 
9 440 9 360 


18 



10 


0.144 3662 
4042 


480 


989 5258 
5188 


70 


0.145 8842 
9337 


495 


6 854 7608 
852 4251 


23257 



50 


42 


5 
6 

7 


11 800 11 700 
14 160 11 040 
165200 163800 




20 
30 


4521 
5001 


479 
480 


5118 
5048 


70 
70 


9833 
0.1460328 


496 
495 


850 1009 
.847 7783 


23 242 
23226 


40 
30 




8 
9 


18 880 18 720 
21 210 21 060 




40 
50 


5481 
5961 


480 
480 
479 


4978 
4908 


70 
70 
70 


0823 
1318 


495 
495 
495 


.845 4572 
.843 1376 


23211 
23196 
23180 


20 
10 




t 


23 200 23 000 

2 320 2 300 




























4 040 4 000 


19 





01446440 




0.989 4838 




0.146 1813 




6.840 8196 







41 


3 


6 900 6 900 




10 


6920 


480 


4767 


71 


2308 


495 


.838 5031 


23165 


50 




4 


< 280 9 200 




20 


7400 


480 


4697 


70 


2804 


496 


.836 1881 


23 150 


40 




5 


11 600 11 500 




30 
40 


7879 
8359 


479 
480 


4627 

4557 


70 
70 


3299 
3794 


495 
495 


.833 8747 
.831 5628 


23 134 
23119 


30 
20 




6 

7 
8 


13 920 13 800 
16 240 16 100 
18 560 18 400 




50 


8839 


480 


4487 


70 


4289 


495 


.829 2525 


23 103 


10 




9 


20 880 20 700 








480 




71 




495 




23 088 








20 





144 9319 




0.989 4416 




0.146 4784 




6.826 9437 







40 








Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



81 40' 



SINES, COSINES, TANGENTS AND COTANGENTS 
8 20' 



51 



' 


" 


Sine 


Dtff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 


20 





0.144 9319 




0.989 4416 




0.146 4784 




6.826 9437 







40 








10 


9798 


479 


4346 


70 


5280 


496 


.824 6364 


23 073 


50 






Sine 




20 
30 
40 


0.145 0278 
0758 
1237 


480 
480 
479 


4276 
4205 
4135 


70 
71 
70 


5775 
6270 
6765 


495 
495 
495 


.822 3306 
.820 0264 
817 7236 


23 058 
23042 
23028 


40 
30 
20 




479 480 

1 47 9 48 

2 9.") 8 96 




50 


1717 


480 


4065 


70 


7260 


495 


.815 4224 


23 012 


10 




3 143 7 144 








480 




71 




4% 




22997 






4 19 


16 192 


21 





0.145 2197 




0.989 3994 




0.146 7756 




6.813 1227 







39 


5 239 5 240 




10 
20 
30 


2676 
3156 
3636 


479 
480 
480 


3924 
3854 
3783 


70 
70 
71 


8251 
8746 
9242 


495 
495 
496 


.810 8246 
808 5279 
.806 2328 


22 981 
22967 
22951 


50 
40 
30 




287 4 288 
7 335 3 336 
8 383 2 384 
9 431 1 432 




40 


4115 


479 


3713 


70 


9737 


495 


.803 9392 


22 936 


20 










50 


4595 


480 


3642 


71 


0.147 0232 


495 


.801 6471 


22 921 


10 














480 




70 




495 




22 906 










22 





0.145 5075 




0.989 3572 




0.147 0727 




6.799 3565 







38 


Cosine 




10 
20 
30 


5554 
6034 
6514 


479 
480 
480 


3501 
3430 
3360 


71 
71 
70 


1223 
1718 
2213 


496 
495 
495 


.797 0674 
.794 7799 
.792 4938 


22 891 
22875 
22861 


50 
40 
30 




70 71 72 

1 70 71 72 
2 14 14 2 14 4 




40 
50 


6993 
7473 


479 
480 
480 


3289 
3219 


71 
70 
71 


2709 
3204 


4% 
495 
495 


.790 2092 
.787 9262 


22 846 
22830 
22816 


20 
10 




3 2 21 3 21 
4 28 28 4 28 8 
5 35 35 5 36 


23 



10 


145 7953 
8432 


479 


0.989 3148 
3077 


71 


0.147 3699 
4195 


4% 


6.785 6446 
.783 3646 


22800 



50 


37 


6 42 42 6 43 2 
7 49 49 7 50 4 
8 50 56 8 57 6 




20 


8912 


480 


3006 


71 


4690 


495 


.781 0860 


22 786 


40 




9 1)3 


63 9 64 8 




30 


9391 


479 


2936 


70 


5185 


495 


.778 8089 


22 771 


30 










40 


9871 


480 


2865 


71 


5681 


4% 


.776 5334 


22 755 


20 










50 


0.1460351 


480 
479 


2794 


71 
71 


6176 


495 
4% 


774 2593 


22 741 
22726 


10 




Tangent 


24 





146 0830 




0.989 2723 




147 6672 




6.771 9867 







36 


495 496 




10 


1310 


480 


2652 


71 


7167 


495 


769 7157 


22 710 


50 




1 49 5 49 fi 




20 


1790 


480 


2582 


70 


7662 


495 


.767 4461 


22 6% 


40 




2 99 99 2 




30 
40 
50 


2269 
2749 
3228 


479 
480 
479 


2511 
2440 
2369 


71 
71 
71 


8158 
8653 
9149 


496 
495 
4% 


765 1780 
7629114 
760 6462 


22681 
22666 
22652 


30 
20 
10 




5 148 5 148 8 
4 198 198 4 
5 217 5 218 
2<)7 297 6 








480 




71 




495 




22 636 






7 31 


5 317 2 


25 



10 


0.146 3708 
4187 


479 


0.989 2298 
2227 


71 


147 9644 
148 0139 


495 


6 758 3826 
756 1204 


22622 



50 


35 


8 396 396 8 
9 44, r > 5 446 4 




20 


4667 


480 


2156 


71 


0635 


4% 


753 8597 


22 607 


40 










30 


5147 


480 


2085 


71 


1130 


495 


751 6005 


22 592 


30 










40 
50 


5626 
6106 


479 
480 
479 


2014 
1943 


71 
71 
71 


1626 
2121 


496 
495 
496 


749 3428 
747 0866 


22 577 
22562 
22548 


20 
10 




Cotangent 

23 000 22 800 


26 



10 
20 


0.146 6585 
7065 
7545 


480 
480 


0.989 1872 
1801 
1730 


71 
71 


0.148 2617 
3112 
3608 


495 
496 


6 744 8318 
742 5785 
740 3267 


22533 
22518 



50 
40 


34 


1 2 300 2 2SO 

2 1 000 4 500 
3 i 900 I) 6 840 
1 ') 200 9 120 




30 
40 


8024 
8504 


479 
480 


1658 
1587 


72 
71 


4103 
4599 


495 
496 


738 0763 
735 8274 


22 504 
22489 


30 
20 




f> 11 50) 11 400 
1 i 800 1 J 080 




50 


8983 


479 
480 


1516 


71 
71 


5094 


495 
496 


.733 5800 


22 474 
22459 


10 




7 10 100 15 900 
8 18 400 18 210 


























9 20 7G 


n n ')n r-on n 


27 



10 
20 
30 


0.146 9463 
9942 
0.1470422 
0901 


479 
480 
479 


0.989 1445 
1373 
1302 
1231 


72 
71 
71 


0.148 5590 
6085 
6581 
7076 


495 
4% 
495 


6 731 3341 
.729 0896 
726 8466 
724 6050 


22445 
22430 
22416 



50 
40 
30 


33 


22 600 22 400 

1 2 260 '2 240 
2 4 520 4 ISO 




40 
50 


1381 
1860 


480 
479 
480 


1160 
1088 


71 
72 
71 


7572 
8067 


496 
495 
496 


722 3649 
720 1263 


22 401 
22386 
22372 


20 
10 




3 7HO 720 
4 9 010 8 900 
5 11 300 11 200 


28 



10 


0.147 2340 
2820 


480 


989 1017 
0945 


72 


0.148 8563 
9058 


495 


6.717 8891 
.715 6534 


22357 



50 


32 


135000 I'M 10 
7 15 820 15 680 
8 18 080 17 920 




20 


3299 


479 


0874 


71 


9554 


496 


.713 4191 


22 343 


40 




9 20 340 20 IbO 




30 
40 
50 


3779 
4258 
4738 


480 
479 
480 
479 


0803 
0731 
0660 


71 
72 
71 
72 


0.1490050 
0545 
1041 


496 
495 
4% 
495 


711 1863 
.708 9550 
706 7251 


22 328 
22313 
22299 
22285 


30 
20 
10 




1 

2 
3 


22200 

2 220 
4 410 
6660 


29 



10 


0.147 5217 
5697 


480 


0.989 0588 
0517 


71 


0.149 1536 
2032 


496 


6.704 4966 
702 2696 


22270 



50 


31 


4 

5 


8 880 
11 100 




20 
30 


6176 
6656 


479 
480 


0445 
0374 


72 
71 


2528 
3023 


4% 
495 
496 


.700 0440 
.697 8199 


22 256 
22241 
22 226 


40 
30 




6 

7 
8 


13 320 
15 540 
17 760 




40 


7135 


479 


0302 


72 


3519 




695 5973 




20 




9 


19 980 




50 


7615 


480 


0230 


72 


4014 


495 


.693 3760 


22 213 


10 














479 




71 




496 




22 198 










30 





147 8094 




0.989 0159 




149 4510 




6 691 1562 







30 










Cosmo 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



81 30' 



52 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
8 30' 



' 


- 


Sine 


Diff 


Cosine 


Diff. 


Tangent 


Diff 


Cotangent 


Diff 






Propoitiorial Parts 


30 





0.147 8094 




0.989 0169 




0.149 4610 




6 691 1562 







30 






10 
20 
30 


8574 
9053 
9533 


480 
479 
480 


0087 
0015 
0.988 9944 


72 
72 
71 


5006 
5501 
5997 


496 
495 
496 


.688 9379 
.686 7210 
.684 5055 


22 183 
22169 
22155 


50 
40 
30 




Sine 

479 480 




40 
50 


148 0012 
0492 


479 
480 


9872 
9800 


72 
72 


6493 
6988 


496 
495 


.682 2915 
680 0789 


22 140 
22126 


20 
10 




1 47 9 48 
2 95 8 90 
3 143 7 144 








479 




72 




496 




22 112 






4 191 6 192 


31 





0.148 0971 




0.988 9728 




149 7484 




6.677 8677 







29 


5 239 5 240 




10 
20 
30 
40 


1450 
1930 
2409 
2889 


479 
480 
479 
480 


9656 
9585 
9513 
9441 


72 
71 
72 
72 


7980 
8475 
8971 
9467 


496 
495 
4% 
4% 


675 6580 
.673 4496 
671 2428 
.669 0373 


22 097 
22084 
22068 
22055 


50 
40 
30 
20 




6 287 4 288 
7 333 3 336 
X 383 2 384 
9 431 1 432 




50 


3368 


479 


9369 


72 


9963 


494 


666 8333 


22040 


10 












480 




72 




495 




22026 








32 





0.148 3848 




0.988 9297 




150 0458 




6 664 6307 







28 


Cosine 




10 
20 
30 


4327 
4807 
5286 


479 
480 
479 


9225 
9153 
9081 


72 
72 

72 


0954 
1450 
1945 


496 
4% 
495 


.662 4295 
660 2297 
6580314 


22 012 
21998 
21983 


50 
40 
30 




i 


71 72 73 

71 72 73 
14 2 H 4 14 




40 


5765 


479 


9009 


72 


2441 


496 


655 8345 


21 969 


20 




3 


21 3 21 b 21 9 




50 


6245 


480 


8937 


72 


2937 


496 


.653 6390 


21955 


10 




4 


28 4 28 8 29 2 








479 




72 




496 




21 941 






o 


:!5 5 36 3G 5 


33 



10 


0.148 6724 
7204 


480 


988 8865 
8793 


72 


150 3433 
3929 


496 


6 651 4449 
649 2522 


21927 



50 


27 


6 

7 
8 


12 G 43 2 43 8 
49 7 50 4 51 1 
')(} S 57 6 58 4 




20 


7683 


479 


8721 


72 


4424 


495 


647 0609 


21 913 


40 




9 


03 9 64 8 65 7 




30 


8163 


480 


8649 


72 


4920 


496 


6448711 


21 898 


30 








40 


8642 


479 


8576 


73 


5416 


496 


.642 6827 


21 884 


20 








50 


9121 


479 
480 


8504 


72 
72 


5912 


4% 
496 


640 4956 


21871 
21856 


10 




Tangent 


34 



10 
20 


148 9601 
149 0080 
0560 


479 
480 


988 8432 
8360 
8288 


72 
72 


150 6408 
6903 
7399 


495 

4% 


6 638 3100 
.636 1258 
.633 9430 


21842 
21828 



50 
40 


26 


4 

1 


95 496 497 

49 5 49 6 49 7 
99 99 2 99 4 




30 
40 
50 


1039 
1518 
1998 


479 
479 
480 
479 


8215 
8143 
8071 


73 

72 
72 
73 


7894 
8391 
8887 


495 
497 
4% 
496 


631 7616 
629 5816 
627 4030 


21814 
21800 
21786 
21772 


30 
20 
10 




1 

1 


IS 5 US 8 140 1 
9S 198 4 198 8 


li . 

7 t 


47 5 248 248 5 
97 297 6 298 2 
4G 5 347 2 317 9 


36 





149 2477 




0.988 7998 




160 9383 




6 626 2258 







26 


S ,' 


90 396 8 397 6 




10 


2957 


480 


7926 


72 


9878 


495 


.623 0500 


21 758 


50 




9 


43 5 44 b 4 447 3 




20 


3436 


479 


7854 


72 


151 0374 


496 


.620 8756 


21 744 


40 








30 


3915 


479 


7781 


73 


0870 


496 


.618 7025 


21 731 


30 








40 
50 


4395 
4874 


480 
479 


7709 
7636 


72 
73 


1366 
1862 


496 
496 


.616 5309 
.614 3607 


21 716 
21702 


20 
10 




Cotangent 








479 




72 




4% 




21688 






. 22 200 22 100 


36 





0.149 5363 




988 7564 




151 2358 




6 612 1919 







24 


\ 


2 220 2 210 




10 
20 
30 


5833 
6312 
6792 


480 
479 
480 
479 


7491 
7419 
7346 


73 
72 
73 
72 


2854 
3350 
3846 


496 
496 
496 
495 


.610 0244 
.607 8584 
605 6937 


21675 
21660 
21647 
21 633 


50 
40 
30 




3 
1 


4 440 4 420 
(5GO fi G30 
S 880 8 840 
11 100 11 050 




40 


7271 




7274 




4341 




.603 5304 




20 




6 


1 1 320 13 2bO 




50 


7750 


479 
480 


7201 


73 
73 


4837 


496 
4% 


601 3685 


21 619 
21605 


10 




8 


13 540 13 470 
7 700 17 G80 


37 





149 8230 




0.988 7128 




0.151 6333 




6.699 2080 







23 


9 


19 980 19 890 




10 
20 
30 


8709 
9188 
9668 


479 
479 
480 


7056 
6983 
6910 


72 
73 
73 


5829 
6325 
6821 


496 
496 
496 


.597 0489 
.5948911 
.592 7347 


21 591 
21578 
21564 


50 
40 
30 




1 


21 900 21 700 

2 190 2 170 
1 380 4 340 




40 
50 


0.1 0147 
0626 


479 
479 
480 


6838 
6765 


72 
73 
73 


7317 
7813 


496 
496 
496 


.590 5798 
.588 4261 


21 549 
21537 
21522 


20 
10 




3 
4 


570 6 510 
8 7bO 8 G80 
10 950 10 850 


38 



10 


160 1106 
1585 


479 


0.988 6692 
6619 


73 


0.151 8309 
8805 


496 


6.686 2739 
.584 1230 


21509 



50 


22 


b 

s 


13 140 13 020 
13 330 15 190 
17 520 17 3GO 




20 


2064 


479 


6547 


72 


9301 


496 


.581 9735 


21495 


40 




9 


19 710 19 530 




30 
40 
50 


2543 
3023 
3502 


479 
480 
479 
479 


6474 
6401 
6328 


73 
73 
73 
73 


9797 
0.152 0293 
0789 


4% 
496 
496 
4% 


.579 8254 
.577 6786 
.575 5333 


21481 
21468 
21453 
21441 


30 
20 
10 




1 

2 


21 500 21 300 

2 150 2 130 
4 300 4 260 


























3 


G 45() o 6 390 


39 





0.160 3981 




0.988 6266 




0.162 1285 




6.673 3892 







21 


4 


R bOO 8 520 




10 


4461 


480 


6182 


73 


1781 


496 


.571 2466 


21 426 


50 




5 


10 750 10 650 




20 
30 
40 
50 


4940 
5419 
5899 
6378 


479 
479 
480 
479 


6109 
6036 
5963 
5890 


73 
73 
73 
73 


2277 
2773 
3269 
3765 


496 
496 
496 
496 


.569 1053 
.566 9654 
.564 8268 
.562 6896 


21413 
21399 
21386 
21372 


40 
30 
20 
10 




G 
7 
8 
9 


12 900 12 780 
15 050 14 910 
17 200 17 040 
19 350 19 170 








479 




73 




497 




21358 








40 





0.160 6867 




0.988 6817 




0.152 4262 




6.560 6638 







20 








Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff. 


" 


' 


Proportional Parts 



81 20' 



SINES, COSINES, TANGENTS AND COTANGENTS 



53 



8 40' 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff. 


Cotangent 


Diff 






Proportional Parts 


40 





0.150 6857 




0.988 5817 




0.152 4262 




6.660 6538 







20 








10 


7336 


479 


5744 


73 


4758 


496 


558 4193 


21 345 


50 










20 


7816 


480 


5671 


73 


5254 


496 


.556 2862 


21 331 


40 




Sine 




30 
40 
50 


8295 
8774 
9253 


479 
479 
479 


5598 
5525 
5452 


73 
73 
73 


5750 
6246 
6742 


496 
496 
496 


.554 1544 
.552 0240 
.549 8949 


21 318 
21304 
21291 


30 
20 
10 




479 480 

1 47 9 48 
2 95 8 9h 








480 




74 




496 




21 277 






3 143 7 144 


41 





0.160 9733 




0.988 5378 




0.152 7238 




6.647 7672 







19 


4 191 6 192 




10 
20 
30 


151 0212 
0691 
1170 


479 
479 
479 


5305 
5232 
5159 


73 
73 
73 


7734 
8230 
8727 


496 
496 
497 


.545 6409 
.543 5158 
541 3922 


21 263 
21251 
21236 


50 
40 
30 




5 239 5 240 
6 287 4 288 
7 335 3 336 
8 383 2 384 




40 


1650 


480 


5085 


74 


9223 


496 


.539 2699 


21 223 


20 




9 431 1 432 




50 


2129 


479 


5012 


73 


9719 


496 


537 1489 


21 210 


10 














479 




73 




496 




21 196 










42 



10 


0.151 2608 
3087 


479 


988 4939 
4866 


73 


0.163 0215 
0711 


496 


6.535 0293 
.532 9110 


21183 



50 


18 


Cosine 




20 


3567 


480 


4792 


74 


1207 


496 


530 7940 


21 170 


40 




73 


74 75 




30 


4046 


479 


4719 


73 


1704 


497 


528 6784 


21 156 


30 




1 7 3 


74 75 




40 


4525 


479 


4645 


74 


2200 


496 


526 5642 


21 142 


20 




2 14 6 


14 8 15 




50 


5004 


479 
480 


4572 


73 
74 


2696 


496 
496 


.524 4512 


21 130 
21116 


10 




3 21 9 
4 29 2 


22 2 22 5 
29 6 30 


43 



10 


151 5484 
5963 


479 


0.988 4498 
4425 


73 


0.163 3192 
3688 


496 


6 522 3396 
520 2294 


21102 



50 


17 


5 .56 5 
6 43 8 
7 :>1 1 


37 37 5 
44 4 45 
51 8 52 5 




20 
30 


6442 
6921 


479 
479 


4351 
4278 


74 
73 


4185 
4681 


497 
496 


.518 1205 
516 0129 


21 089 
21076 


40 
30 




8 58 4 
9 65 7 


59 2 60 
66.6 67 5 




40 


7400 


479 


4204 


74 


5177 


496 


.513 9066 


21 063 


20 










50 


7880 


480 


4131 


73 


5673 


496 


.511 8017 


21049 


10 














479 




74 




497 




21036 










44 





0.161 8359 




0.988 4057 




0.153 6170 




6.509 6981 







16 


Tangent 




10 


8838 


479 


3984 


73 


6666 


496 


.507 5958 


21023 


50 




496 497 




20 


9317 


479 


3910 


74 


7162 


496 


.505 4949 


21009 


40 




1 49 6 49 7 




30 
40 
50 


9796 
152 0276 
0755 


479 
480 
479 
479 


3836 
3763 
3689 


74 
73 
74 
74 


7658 
8155 
8651 


4% 
497 
496 
496 


.503 3953 
.501 2970 
.499 2000 


20996 
20983 
20970 
20957 


30 
20 
10 




2 99 2 99 4 
3 148 8 149 1 
4 198 4 198 8 
5 218 248 5 
6 297 6 298 2 


45 





152 1234 




0.988 3615 




0.153 9147 




6.497 1043 







15 


1 347 2 347 9 




10 
20 


1713 
2192 


479 
479 


3541 
3468 


74 
73 


9644 
0.154 0140 


497 
496 


.495 0100 
.492 9170 


20943 
20930 


50 
40 




8 396 8 397 6 
9 446 4 447 3 




30 


2671 


479 


3394 


74 


0636 


496 


.490 8253 


20 917 


30 










40 


3151 


480 


3320 


74 


1132 


496 


.488 7349 


20904 


20 










50 


3630 


479 
479 


3246 


74 
74 


1629 


497 
496 


.486 6458 


20891 
20877 


10 




Cotangent 


46 





162 4109 




0.988 3172 




0.154 2125 




6.484 5581 







14 


21 300 21 100 




10 
20 
30 


4588 
5067 
5546 


479 
479 
479 


3098 
3024 
2950 


74 
74 
74 


2621 
3118 
3614 


496 
497 
4% 


.482 4716 
.480 3865 
.478 3027 


20 865 
20851 
20838 


50 
40 
30 




1 2 130 2 110 
2 4 260 4 220 
3 6 390 6 330 
4 8 520 8 440 




40 


6025 


479 


2876 


74 


4111 


497 


.476 2202 


20825 


20 




5 10 650 10 550 




50 


6505 


480 
479 


2802 


74 
74 


4607 


496 
496 


474 1390 


20812 
20799 


10 




6 12 780 12 bW) 
7 14910 14 770 


47 



10 


152 6984 
7463 


479 


0.988 2728 
2654 


74 


154 5103 
5600 


497 


6.472 0591 
.469 9805 


20786 



50 


13 


8 17 OiO 16880 
9 19 170 18 990 




20 


7942 


479 


2580 


74 


6096 


496 


.467 9032 


20 773 


40 




20 900 20 700 




30 


8421 


479 


2506 


74 


6593 


497 


.465 8272 


20 760 


30 




1 2 090 2 070 




40 
50 


8900 
9379 


479 
479 
479 


2432 
2358 


74 
74 
74 


7089 
7585 


496 
496 
497 


.463 7525 
.461 6791 


20 747 
20734 
20721 


20 
10 




2 4 180 1 140 
3 6270 6 210 
4 8 360 8 280 


48 



10 


0.152 9858 
0.153 0337 


479 


0.988 2284 
2210 


74 


0.154 8082 
8578 


496 


6.469 6070 
.457 5362 


20708 



50 


12 


5 10 450 10 350 
6 12 540 12 420 
7 14 630 14 490 




20 
30 


0817 
1296 


480 
479 


2135 
2061 


75 
74 


9075 
9571 


497 
4% 


.455 4667 
.453 3985 


20 695 
20682 


40 
30 




8 16 720 16 560 
9 18 810 18 630 




40 


1775 


479 

A7Q 


1987 


74 
74 


0.155 0068 


497 


.451 3316 


20 669 
20 656 


20 






20500 




50 


2254 


1/9 

479 


1913 


75 


0564 


497 


.4492660 


20643 


10 




2 


2 050 
4 100 


49 



10 


0.163 2733 
3212 


479 


0.988 1838 
1764 


74 


0.165 1061 
1557 


496 


6.447 2017 
.445 1387 


20630 



50 


11 


3 
4 


6150 
8 200 




20 
30 
40 


3691 
4170 
4649 


479 
479 
479 


1690 
1615 
1541 


74 
75 
74 


2053 
2550 
3046 


496 
497 
496 


.443 0769 
.441 0164 
.438 9573 


20 618 
20605 
20591 


40 
30 
20 




5 
6 

7 
8 


10 250 
12 300 
14 350 
16400 




50 


5128 


479 


1467 


74 


3543 


497 


.436 8994 


20 579 


10 




9 


18 450 








479 




75 




497 




20 566 










50 





0.153 5607 




0.988 1392 




0.155 4040 




6.434 8428 







10 










Comne 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



81 10' 



54 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
8 50' 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff. 


Cotangent 


Diff 






Pioportional Parts 


60 





0.163 6607 




0.988 1392 




0.165 4040 




6.434 8428 







10 


Sine 




10 
20 
30 


6086 
6566 
7045 


479 
480 
479 


1318 
1243 
1169 


74 
75 
74 


4536 
5033 
5529 


496 
497 
496 


.432 7875 
.430 7334 
.428 6807 


20 553 
20541 
20527 


50 
40 
30 




4 

1 


78 479 480 

47 8 47 9 48 
95 6 95 8 96 




40 
50 


7524 
8003 


479 
479 
479 


1094 
1020 


75 
74 
75 


6026 
6522 


497 
496 
497 


.426 6292 
.424 5790 


20 515 
20502 
20489 


20 
10 




3 1 
4 1 

5 2 


43 4 143 7 144 
91 2 191 6 192 
39 239 5 240 


61 



10 


0.153 8482 
8961 


479 


0.988 0945 
0870 


75 


0.166 7019 
7515 


496 


6.422 5301 
.420 4824 


20477 



50 


9 


6 2 

7 3 
8 3 


86 8 287 4 288 
34 6 335 3 336 
82 4 383 2 384 




20 


9440 


479 


0796 


74 


8012 


497 


.418 4361 


20 463 


40 




9 4 


30 2 431 1 432 




30 


9919 


479 


0721 


75 


8509 *:! 


.416 3910 


20 451 


30 








40 


0.1540398 


479 


0646 


75 


9005 


496 


.414 3471 


20439 


20 




Cosine 




50 


0877 


479 
479 


0572 


74 
75 


9502 


497 
496 


.412 3046 


20 425 
20413 


10 




74 75 76 


62 



10 


0.154 1356 
1835 


479 


0.988 0497 
0422 


75 


155 9998 
0.1560495 


497 


6.410 2633 
408 2233 


20400 



50 


8 


1 

2 
3 


74 75 76 
14 8 15 15 2 
22 2 22 5 22 8 




20 


2314 


479 


0348 


74 


0992 


497 


406 1845 


20 388 


40 




4 


29 6 30 30 4 




30 


2793 


479 


0273 


75 


1488 


496 


.404 1470 


20 375 


30 




f, 


37 37 5 38 




40 
50 


3272 
3751 


479 
479 
479 


0198 
0123 


75 
75 
75 


1985 
2481 


497 
496 
497 


.402 1108 
.400 0759 


20 362 
20349 
20337 


20 
10 




6 

7 
8 
9 


44 4 45 45 G 
51 8 52 5 53 2 
59 2 60 60 8 
66 6 67 5 68 4 


53 





0.164 4230 




09880048 




0.156 2978 




6 398 0422 







7 






10 
20 


4709 
5188 


479 
479 


987 9973 
9898 


75 
75 


3475 
3971 


497 
4% 


396 0097 
.393 9786 


20 325 
20311 


50 
40 




Tangent 




30 


5667 


479 


9824 


74 


4468 


497 


.391 9487 


20 299 


30 




496 497 




40 
50 


6146 
6625 


479 
479 
479 


9749 
9674 


75 
75 
75 


4965 
5462 


497 
497 
496 


.389 9200 
.387 8926 


20287 
20274 
20261 


20 
10 




1 49 6 49 7 
2 99 2 99 4 
3 148 8 149 1 
4 198 4 198 8 


64 



10 


0.164 7104 
7583 


479 


0.987 9599 
9524 


75 


0.156 6958 
6455 


497 


6.385 8665 
.383 8416 


20249 



50 


6 


5 248 248 5 
6 297 6 298 2 




20 
30 
40 


8062 
8541 
9020 


479 
479 
479 


9449 
9374 
9298 


75 
75 
76 


6952 
7448 
7945 


497 
496 
497 


.381 8179 
.379 7955 
.377 7744 


20237 
20224 
20211 


40 
30 
20 




7 347 2 347 9 
8 396 8 397 6 
9 416 4 447 3 




50 


9499 


479 
479 


9223 


75 
75 


8442 


497 
497 


.375 7545 


20186 


10 




Cotangent 


66 



10 


0.154 9978 
0.155 0457 


479 


0.987 9148 
9073 


75 


0.156 8939 
9435 


496 


6 373 7359 
.371 7185 


20174 



50 


6 


l 


20 500 20 400 

2 050 2 040 




20 
30 
40 
50 


0936 
1415 
1893 
2372 


479 
479 
478 
479 


8998 
8923 
8847 
8772 


75 
75 
76 
75 


9932 
157 0429 
0926 
1422 


497 
497 
497 
476 


.369 7023 
.367 6875 
.365 6738 
.363 6614 


20 162 
20148 
20137 
20124 


40 
30 
20 
10 




2 
3 
4 
5 
6 


4 100 4 080 
6 150 6 120 
8 200 8 160 
10 250 10 200 
12 300 12 240 








4T9 




75 




487 




20 112 






7 


14 350 14 280 


66 



10 


0.155 2861 
3330 


479 


0.987 8697 
8622 


75 


167 1919 
2416 


497 


6 361 6502 
359 6403 


20099 




50 


4 


^9 


16 400 16 320 
18 450 18 360 




20 


3809 


479 


8546 


76 


2913 


497 


.357 6316 


20 087 


40 




20 300 20 200 




30 


4288 


479 


8471 


75 


3410 


497 


.355 6241 


20075 


30 




1 


2 030 2 020 




40 
50 


4767 
5246 


479 
479 
479 


8396 
8320 


75 
76 

75 


3906 
4403 


496 
497 
497 


.353 6179 
.351 6129 


20062 
20050 
20037 


20 
10 




3 
4 


4 060 4 040 
6 090 6 060 
8 120 8 080 




























10 150 10 100 


67 





0.165 6726 




0.987 8245 




0.167 4900 




6 349 6092 







3 


6 


12 180 12 120 




10 
20 
30 


6204 
6683 
7162 


479 
479 
479 


8169 
8094 
8018 


76 
75 
76 


5397 
5894 
6391 


497 
497 
497 


347 6067 
.345 6054 
.343 6053 


20025 
20013 
20001 


50 
40 
30 




7 
8 
9 


14 210 14 140 
16 240 16 160 
18 270 18 180 




40 


7640 


478 


7943 


75 


6887 


496 


.341 6065 


19988 


20 




20 100 20 000 




50 


8119 


479 


7867 


76 


7384 


497 


.339 6089 


19976 


10 




1 


2 010 2 000 








479 




75 




497 




19963 






2 


4 020 4 000 


68 



10 
20 
30 
40 
50 


155 8598 
9077 
9556 
0.1560035 
0514 
0993 


479 
479 
479 
479 
479 


0.987 7792 
7716 
7641 
7565 
7489 
7414 


76 
75 
76 
76 
75 


0.157 7881 
8378 
8875 
9372 
9869 
0.1580366 


497 
497 
497 
497 
497 


6.337 6126 
.335 6174 
.333 6235 
.331 6308 
.329 6394 
.327 6491 


19952 
19939 
19927 
19914 
19903 



50 
40 
30 
20 
10 


2 


3 
4 

5 
6 

7 
8 
9 


6 030 6 000 
8 040 8 000 
10 050 10 000 
12060 12000 
14 070 14 000 
16 080 16 000 
18 090 18 000 








479 




76 




497 




19 890 






19 900 19 800 


69 



10 


0.156 1472 
1950 


478 


0.987 7338 
7262 


76 


0.168 0863 
1360 


497 


6.325 6601 
.323 6723 


19878 



50 


1 


1 

2 


1 990 1 980 
3 980 3 960 




20 
30 
40 
50 


2429 
2908 
3387 
3866 


479 
479 
479 
479 


7187 
7111 
7035 
6959 


75 
76 
76 
76 


1857 
2354 
2850 
3347 


497 
497 
496 
497 


.321 6857 
.319 7003 
.317 7162 
.315 7332 


19 866 
19854 
19841 
19830 


40 
30 
20 
10 




3 
4 

5 
6 


5 970 5 940 
7 960 7 920 
9 950 9 900 
11 940 11 880 
U 930 13 860 








479 




76 




497 




19817 






8 


15 920 15 840 


60 





0.166 4345 




0.987 6883 




0.1683844 




6.313 7515 










9 


17 910 17 820 






Cosine 


Diff. 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



81 00' 



SINES, COSINES, TANGENTS AND COTANGENTS 
9 00' 



55 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Paita 






10 


0.166 4345 
4823 


478 


0.987 6883 
6808 


75 


0.1683844 
4341 


497 


6.313 7516 
.311 7710 


19805 



50 


60 




Sine 




20 


5302 


479 


6732 


76 


4838 


497 


.309 7917 


19 793 


40 






478 479 




30 
40 


5781 
6260 


479 
479 


6656 
6580 


76 
76 


5335 
5832 


497 
497 


.307 8136 
.305 8367 


19781 
19769 


30 
20 




1 

3 


47 8 47 9 
95 6 95 8 
113 4 143 7 




50 


6739 


479 


6504 


76 


6329 


497 


.303 8611 


19756 


10 




4 


191 2 191 6 








479 




76 




497 




19745 






5 


239 239 5 


1 





0.156 7218 




0.987 6428 




0.158 6826 




6.301 8866 







59 


b 


286 8 287 4 




10 
20 
30 


7696 
8175 
8654 


478 
479 
479 


6352 
6276 
6200 


76 
76 
76 


7323 
7820 
8317 


497 
497 
497 


.299 9134 
.297 9413 
.295 9705 


19732 
19721 
19708 


50 
40 
30 




8 
9 


334 6 335 3 
382 4 383 2 
430 2 431 1 




40 


9133 


479 


6124 


76 


8815 


498 


.294 0008 


19697 


20 






Cosine 




50 


9612 


479 
479 


6048 


76 
76 


9312 


497 
497 


.292 0324 


19 684 
19673 


10 




75 


76 77 78 


2 



10 
20 


0.157 0091 
0569 
1048 


478 
479 


0.987 5972 
5896 
5819 


76 
77 


0.158 9809 
0.1590306 
0803 


497 
497 


6.290 0651 
288 0991 
.286 1342 


19660 
19649 



50 
40 


58 


2 1 

3 2 
4 3 


75 76 77 78 
5 ( l.i 2 15 4 15 6 
2 5 22 8 23 1 23 4 
00 30 4 30 8 31 ~2 




30 


1527 


479 


5743 


76 


1300 


497 


284 1706 


19 636 


30 




5 3 


7 5 38 38 5 39 




40 


2006 


479 


5667 


76 


1797 


497 


282 2081 


19 625 


20 




b 1 


5 45 6 46 2 46 8 




50 


2484 


478 
479 


5591 


76 
77 


2294 


497 
497 


.280 2469 


19612 
19601 


10 




8 b 

9 1 6 


2 5 53 2 53 9 54 b 
) ( W) 8 61 6 62 4 
7 5 (>8 4 h!) 3 70 2 


3 





0.167 2963 




0.987 5514 




0.159 2791 




6.278 2868 







57 








10 
20 


3442 
3921 


479 
479 


5438 
5362 


76 
76 


3288 
3785 


497 
497 


.276 3279 
.274 3703 


19 589 
19576 


50 
40 






Tangent 




30 


4400 


479 


5286 


76 


4283 


498 


.272 4138 


19 565 


30 






497 498 




40 
50 


4878 
5357 


478 
479 


5209 
5133 


77 
76 


4780 
5277 


497 
497 


270 4585 
2685044 


19553 
19541 


20 
10 




1 


49 7 49 8 
9<) 4 99 6 
149 1 149 4 








479 




76 




497 




19 529 






4 


198 8 199 2 


4 





0.167 5836 




0.987 5067 




0.169 5774 




6 266 5515 







56 


5 


248 5 249 




10 


6315 


479 


4980 


77 


6271 


497 


.264 5997 


19 518 


50 




6 


29K 2 298 8 




20 
30 


6793 
7272 


478 
479 


4904 
4827 


76 
77 


6768 
7266 


497 
498 


262 6492 
.260 6998 


19 505 
19494 


40 
30 




H 
9 


317 9 348 6 
-i')7 6 398 4 
447 3 448 2 




40 


7751 


479 


4751 


76 


7763 


497 


258 7516 


19482 


20 










50 


8230 


479 
478 


4674 


77 
76 


8260 


497 
497 


.256 8046 


19 470 
19458 


10 




Cotangent 


5 



10 
20 


167 8708 
9187 
9666 


479 
479 


0.987 4598 
4521 
4445 


77 
76 


159 8767 
9254 
9752 


497 
498 


6 254 8588 
252 9142 
250 9707 


19446 
19435 



50 
40 


55 


i 

3 


19 800 19 700 

1 980 1 970 
3 9bO 3 940 
5 910 5 910 




30 


158 0145 


479 


4368 


77 


0.1600249 


497 


249 0284 


19423 


30 




4 


7 920 7 880 




40 


0623 


478 


4291 


77 


0746 


497 


247 0873 


19411 


20 




3 


1 


MOO 9 850 




50 


1102 


479 
479 


4215 


76 
77 


1243 


497 
497 


245 1474 


19399 
19388 


10 




l, 

7 


11 880 11 820 
13 860 13 790 


6 





0.168 1581 




0.987 4138 




0.160 1740 




6 243 2086 







54 


8 


15 840 15 760 
17 820 17 730 




10 


2059 


478 


4061 


77 


2238 


498 


241 2710 


19 376 


50 










20 


2538 


479 


3985 


76 


2735 


497 


.239 3346 


19364 


40 




19 600 19 500 




30 
40 


3017 
3495 


479 
478 


3908 
3831 


77 
77 


3232 
3730 


497 
498 


237 3994 
235 4653 


19 352 
19341 


30 
20 




1 


1 


<(>') 1 5)30 
920 3 5)00 
880 5 850 




50 


3974 


479 


3754 


77 


4227 


497 


233 5324 


19 329 


10 




4 


7 


840 7 800 








479 




76 




497 




19 317 






_- 


9 800 9 750 


7 



10 
20 


0.158 4453 
4932 
5410 


479 
478 


987 3678 
3601 
3524 


77 
77 


0.160 4724 
5221 
5719 


497 
498 


6 231 6007 
.229 6701 
227 7407 


19306 
19294 



50 
40 


53 


7 
8 


1 1 760 1 1 700 
13 720 13 650 
15 MM) 15 600 
17 610 17 550 




30 


5889 


479 


3447 


77 


6216 


497 


.225 8125 


19 282 


30 










40 


6368 


479 


3370 


77 


6713 


497 


223 8854 


19271 


20 




i 19 400 19 300 




50 


6846 


478 
479 


3293 


77 
77 


7211 


498 
497 


221 9595 


19259 
19248 


10 




1 

2 


1 940 1 930 
3 880 3 860 


8 



10 
20 


0.158 7325 
7804 
8282 


479 
478 


987 3216 
3139 
3062 


77 

77 


0.160 7708 
8205 
8703 


497 
498 


6.220 0347 
.218 1111 
.216 1887 


19236 
19224 



50 
40 


52 


4 

b 


5 820 5 790 
7 7bO 7 720 
9 700 9 650 
11 640 11 580 




30 
40 
50 


8761 
9240 
9718 


479 
479 
478 


2985 
2908 
2831 


77 
77 
77 


9200 
9698 
0.161 0195 


497 
498 
497 


214 2674 
.212 3473 
.210 4284 


19 213 
19201 
19189 


30 
20 
10 




7 
8 
9 


13 580 13 510 
15 520 15 440 
17 460 17 370 








479 




77 




497 




19 178 






19 


200 19 100 


9 





0.169 0197 




0.987 2754 




0.161 0692 




6.208 5106 







51 


1 1 920 1 910 




10 
20 
30 
40 


0676 
1154 
1633 
2111 


479 
478 
479 
478 


2677 
2600 
2523 
2446 


77 
77 
77 
77 


1190 
1687 
2184 
2682 


498 
497 
497 
498 


.206 5939 
.204 6784 
202 7641 
.200 8509 


19 167 
19155 
19143 
19132 


50 
40 
30 
20 




3 
4 
5 
6 


3 840 3 820 
5 760 5 730 
7 680 7 640 
9 600 9 550 
11 520 11 460 




50 


2590 


479 
479 


2368 


78 
77 


3179 


497 
498 


.1989388 


19 121 
19109 


10 




7 

8 


13 440 13 370 
15 3bO 15 280 0' 


10 





0.169 3069 




0.987 2291 




161 3677 




6.197 0279 







50 


9 


17 280 17J<K) 






Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Sfe**,? 



80 50' 



6 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 



9 10' 



' 


" 


Sine 


Diff. 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 


10 





0.159 3069 




0.987 2291 




0.161 3677 




6.197 0279 







60 


Sine 




10 
20 
30 
40 


3547 
4026 
4505 
4983 


478 
479 
479 
478 


2214 
2137 
2059 
1982 


77 
77 
78 
77 


4174 
4672 
5169 
5667 


497 
498 
497 
498 


.195 1182 
.193 2096 
.191 3021 
.1893958 


19 097 
19086 
19075 
19063 


50 
40 
30 
20 




478 479 

1 47 8 47 9 
2 95 6 95 8 
3 143 4 143 7 




50 


5462 


479 
478 


1905 


77 
78 


6164 


497 
498 


.1874907 


19051 
19040 


10 




4 191 2 191 6 
5 239 239 5 


11 



10 


159 5940 
6419 


479 


0.987 1827 
1750 


77 


0.161 6662 
7159 


497 


6.185 5867 
183 6838 


19029 



50 


49 


6 286 8 287 4 
7 334 6 335 3 
8 382 4 383 2 




20 


6898 


479 


1673 


77 


7657 


498 


.181 7820 


19 018 


40 




9 430 2 431 1 




30 
40 


7376 
7855 


478 
479 


1595 
1518 


78 
77 


8154 
8652 


497 
498 


.1798814 
.1779820 


19 006 
18994 


30 
20 




Cosine 




50 


8333 


478 
479 


1440 


78 

77 


9149 


497 
498 


.1760837 


18983 
18972 


10 




77 78 79 


12 



10 


159 8812 
9290 


478 


0.987 1363 
1285 


78 


161 9647 
0.1620144 


497 


6.174 1866 
.172 2904 


18961 



50 


48 


1 

2 
3 


77 78 79 
15 4 15 6 15 8 
23 1 23 4 23 7 




20 


9769 


479 


1208 


77 


0642 


498 


.1703955 


18949 


40 




4 


30 8 31 2 31 6 




30 
40 


160 0248 
0726 


479 
478 


1130 
1052 


78 
78 


1139 
1637 


497 
498 


.168 5017 
.1666091 


18938 
18926 


30 
20 




6 


38 5 39 39 5 
46 2 46 8 47 4 
53 9 54 6 55 3 




50 


1205 


479 


Oy/5 


77 


2134 


497 


.1647175 


18916 


10 




8 


til 6 62 4 63 2 








478 




78 




498 




18903 






9 


69 3 70 2 71 1 


13 





160 1683 




0.987 0897 




162 2632 




6.162 8272 







47 






10 
20 
30 
40 


2162 
2640 
3119 
3597 


479 
478 
479 
478 


0819 
0742 
0664 
0586 


78 
77 
78 
78 


3129 
3627 
4125 
4622 


497 
498 
498 
497 


.1609379 
.1590498 
.157 1628 
.155 2769 


18 893 
18881 
18870 
18859 


50 
40 
30 
20 




Tangent 

497 498 

1 49 7 49 8 
2 99 4 99 6 




50 


4076 


479 


0509 


77 


5120 


498 


.153 3921 


18848 


10 




3 149 1 149 4 








479 




78 




498 




18836 






4 198 8 199 2 


14 





160 4556 




0.987 0431 




0.162 5618 




6 151 5085 







46 


5 248 5 249 




10 
20 
30 


5033 
5512 
5990 


478 
479 
478 


0353 
0275 
0197 


78 
78 
78 


6115 
6613 
7110 


497 
498 
497 


.1496260 
.147 7446 
.1458643 


18825 
18814 
18803 


50 
40 
30 




6 298 2 298 8 
7 347 9 348 6 
8 397 398 4 
9 447 3 448 2 




40 


6469 


479 


0119 


78 


7608 


498 


.143 9852 


18 791 


20 








50 


6947 


478 
479 


0042 


77 
78 


8106 


498 
497 


.142 1072 


18780 
18769 


10 




Cotangent 


15 





0.160 7426 




0.986 9964 




0.162 8603 




6.140 2303 







45 


19 100 19 000 




10 
20 


7904 
8383 


478 
479 

4.7ft 


9886 
9808 


78 
78 
78 


9101 
9599 


498 
498 
497 


.1383545 
.1364798 


18758 
18747 
18 736 


50 
40 




i 

3 


1 910 1 900 
3 820 3 800 
5 730 5 700 




30 


8861 


4(0 


9730 




163 0096 




.134 6062 




30 




4 


7 640 7 600 




40 


9340 


479 


9652 


78 


0594 


498 


.132 7338 


18 724 


20 




5 


9 550 9 500 




50 


9818 


478 
479 


9574 


78 
78 


1092 


498 
498 


.1308625 


18 713 
18702 


10 




6 

7 


11 4bO 11 400 
13 370 13 300 


16 



10 


161 0297 
0775 


478 


0.986 9496 
9418 


78 


0.163 1690 
2087 


497 


6.128 9923 
.127 1232 


18691 



50 


44 


$ 


15 280 15 200 
17 190 17 100 




20 


1254 


479 


9339 


79 


2585 


498 


.125 2552 


18 680 


40 




18 900 18 800 




30 
40 
50 


1732 
2211 
2689 


478 
479 
478 


9261 
9183 
9105 


78 
78 
78 


3083 
3581 
4078 


498 
498 
497 


.123 3883 
.121 5225 
.119 6578 


18669 
18658 
18647 


30 
20 
10 




1 

2 
3 
4 


1 890 1 880 
3 780 3 700 
5 070 5 640 
7 560 7 520 








478 




78 




498 




18 635 




































9 450 9 400 


17 





161 3167 




0.986 9027 




0.163 4676 




6.117 7943 







43 


6 


11 310 11 280 




10 
20 
30 


3646 
4124 
4603 


479 
478 
479 


8949 
8870 
8792 


78 
79 
78 


5074 
5572 
6069 


498 
498 
497 


.115 9318 
.114 0704 
.112 2102 


18 625 
18614 
18602 


50 
40 
30 




7 
8 
9 


13 230 13 100 
15 120 15 040 
17 010 16 920 




40 


5081 


478 


8714 


78 


6567 


498 


.1103510 


18592 


20 




18 700 18 600 




50 


5560 


479 
478 


8636 


78 
79 


7065 


498 
498 


.108 4930 


18580 
18570 


10 




1 


1 870 1 860 
3 710 3 720 


18 



10 
20 
30 


161 6038 
6517 
6995 
7474 


479 
478 
479 


986 8557 
8479 
8400 
8322 


78 
79 
78 


163 7563 
8061 

8558 
9056 


498 
497 
498 


6 106 6360 
.104 7802 
.102 9254 
.101 0718 


18558 
18548 
18536 



50 
40 
30 


42 


3 
4 
5 
6 

7 


5 610 5 580 
7 180 7 440 
9 350 9 300 
11 220 11 160 
13 090 13 020 




40 
50 


7952 
8430 


478 
478 


8244 
8165 


78 
79 


9554 
0.1640052 


498 
498 


.099 2192 
.097 3677 


18526 
18515 


20 
10 




8 
9 


14 960 14 880 
16 830 16 740 








479 




78 




498 




18503 






18 500 18 400 


19 



10 


161 8909 
9387 


478 


0.986 8087 
8008 


79 


0.164 0560 
1048 


498 


6.095 5174 
.093 6681 


18493 



50 


41 


1 1 850 1 840 
2 3 700 3 680 




20 
30 
40 
50 


9866 
0.162 0344 
0822 
1301 


479 
478 
478 
479 


7930 
7851 
7773 
7694 


78 
79 
78 
79 


1546 
2043 
2541 
3039 


498 
497 
498 
498 


.091 8199 
.089 9728 
.088 1268 
.086 2819 


18482 
18471 
18460 
18449 


40 
30 
20 
10 




3 5 550 5 520 
4 7 400 7 360 
5 9 250 9 200 
6 11 100 11040 
7 12 950 12 880 








478 




79 




498 




18 438 






8 14 800 14 720 


20 





0.162 1779 




0.986 7615 




0.164 3537 




6.084 4381 







40 


9 16 650 16 560 






Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tanent 


Diff. 


" 


' 


Proportional Parts 



80 40' 



SINES, COSINES, TANGENTS AND COTANGENTS 
9 20' 



57 





" 


8 me 


DifT 


Co>me 


DifT 


Tangent 


DifT 


Cotangent 


Diff 






Proportional Parts 


20 





0.162 1779 




0.986 7615 




0.164 3537 




6.084 4381 







40 


Sine 




10 
20 


2258 
2736 


479 
478 


7537 
7458 


78 
79 


4035 
4533 


498 
498 


.082 5953 
.080 7537 


18 428 
18416 


50 
40 




478 479 




30 


3214 


478 


7379 


79 


5031 


498 


.078 9131 


18406 


30 




1 47 8 47 9 
2 95 6 95 8 




40 


3693 


479 


7301 


78 


5529 


498 


.077 0737 


18 394 


20 




3 143 4 143 7 




50 


4171 


478 


7222 


79 


6027 


498 


.075 2353 


18384 


10 




4 191 2 191 6 








479 




79 




498 




18374 






5 239 23!) 5 


21 



10 
20 


162 4650 
5128 
5606 


478 
478 


0.986 7143 
7064 
6986 


79 
78 


0.164 6525 
7023 
7521 


498 
498 


6 073 3979 
.071 5617 
.069 7266 


18362 
18351 



50 
40 


39 


G 286 8 287 4 
7 334 6 335 3 
8 382 4 383 2 
9 430 2 431 1 




30 


6085 


479 


6907 


79 


8019 


498 


.067 8925 


18 341 


30 








40 


6563 


478 


6828 


79 


8517 


498 


.066 0595 


18 330 


20 




Cosine 




50 


7041 


478 
479 


6749 


79 
79 


9015 


498 
498 


064 2276 


18319 
18309 


10 




78 79 80 


22 



10 
20 


162 7520 
7998 
8476 


478 
478 


986 6670 
6591 
6512 


79 
79 


164 9513 
1650011 
0509 


498 
498 


6.062 3967 
.060 5670 
.058 7383 


18297 
18287 



50 
40 


38 


1 

2 
3 
4 


78 79 80 
15 6 15 8 16 
23 4 23 7 24 
31 2 31 6 32 




30 


8955 


479 


6433 


79 


1007 


498 


.056 9107 


18 276 


30 




5 


39 39 5 40 




40 
50 


9433 
9911 


478 
478 
479 


6354 
6275 


79 
79 
79 


1505 
2003 


498 
498 
498 


.055 0841 
.053 2587 


18266 
18254 
18244 


20 
10 




b 

8 
9 


46 8 47 4 48 
54 6 55 3 56 
62 4 63 2 64 
70 1 71 1 7-> n 


23 





163 0390 




0.986 6196 




165 2501 




6.051 4343 







37 






10 
20 


0868 
1346 


478 
478 


6117 
6038 


79 
79 


2999 
3497 


498 
498 


049 6109 
.047 7887 


18 234 
18222 


50 
40 




Tangent 




30 


1825 


479 


5959 


79 


3995 


498 


045 9675 


18 212 


30 




498 499 




40 


2303 


478 


5880 


79 


4493 


498 


044 1474 


18 201 


20 




1 49 8 49 9 




50 


2781 


478 
479 


5801 


79 
79 


4991 


498 
498 


042 3283 


18 191 
18180 


10 




2 99 6 99 8 
3 149 4 149 7 


24 



10 


0.163 3260 
3738 


478 


0.986 5722 
5642 


80 


165 5489 
5987 


498 


6 040 5103 
.038 6934 


18169 



50 


36 


4 199 2 199 6 
5 249 249 5 
b 298 8 299 4 




20 
30 
40 


4216 
4695 
5173 


478 
479 
478 


5563 
5484 
5405 


79 
79 
79 


6485 
6984 
7482 


498 
499 
498 


036 8775 
.035 0627 
033 2490 


18 159 
18148 
18137 


40 
30 
20 




7 348 6 349 3 
8 398 4 399 2 
9 448 2 449 1 




50 


5651 


478 
478 


5325 


80 
79 


7980 


498 
498 


.031 4363 


18 127 
18116 


10 




Cotangent 


25 





163 6129 




0.986 5246 




0.165 8478 




6 029 6247 







35 


18 400 18 300 




10 


6608 


479 


5167 


79 


8976 


498 


027 8141 


18 106 


50 




i 


1 840 1 830 




20 
30 
40 
50 


7086 
7564 
8042 
8521 


478 
478 
478 
479 
478 


5087 
5008 
4929 
4849 


80 
79 
79 
80 
79 


9474 
9972 
0.1660471 
0969 


498 
498 
499 
498 
498 


026 0046 
024 1962 
022 3888 
020 5825 


18 095 
18084 
18074 
18063 
18053 


40 
30 
20 
10 




2 
.} 
1 


3 680 3 660 
5 520 5 490 
7 3b() 7 320 
9 200 9 150 
1 1 040 10 9SO 
12 880 1L' 810 


26 





163 8999 




986 4770 




166 1467 




6 018 7772 







34 


H 


1 1 720 14 640 




10 


9477 


478 


4690 


80 


1965 


498 


016 9730 


18 042 


50 




^ 


16 560 Ib 470 




20 


9955 


478 


4611 


79 


2463 


498 


015 1698 


18032 


40 




18 200 18 100 




30 


164 0434 


479 


4531 


80 


2962 


499 


013 3677 


18 021 


30 




1 


1 H20 1 810 




40 
50 


0912 
1390 


478 
478 
478 


4452 
4372 


79 
80 
79 


3460 
3958 


498 
498 
498 


.011 5666 
.009 7666 


18 Oil 
18000 
17990 


20 
10 




3 
4 


3 610 3 620 
5 160 5 430 
7 280 7 240 


27 





164 1868 


A7Q 


986 4293 


80 


166 4456 




6 007 9676 


17 979 





33 


5 
b 


9 100 9 050 
10 920 10 SGO 




10 


2347 


4/a 


4213 




4955 




006 1697 




50 






12 740 12 670 




20 
30 


2825 
3303 


478 

478 


4133 
4054 


80 
79 


5453 
5951 


498 
498 


004 3728 
.002 5770 


17 969 
17958 


40 
30 




8 
9 


14 560 1 1 480 
16 380 16 290 




40 


3781 


478 


3974 


80 


6449 


498 


000 7822 


17 948 


20 




18 000 17 900 




50 


4260 


479 


3894 


80 


6948 


499 


5 998 9884 


17 938 


10 




1 


1 800 1 790 








478 




79 




498 




17927 






2 


3 600 3 580 


28 



10 
20 


0.164 4738 
5216 
5694 


478 
478 


0.986 3815 
3735 
3655 


80 
80 
80 


0.166 7446 
7944 
8443 


498 
499 

JQO 


5.997 1957 
995 4041 
.993 6135 


17916 
17906 
17 896 



50 
40 


32 


3 
4 
5 
6 


5 400 5 370 
7 200 7 160 
) 000 8 950 
10 800 10710 




30 


6172 


478 


3575 




8941 


438 


991 8239 




30 




7 


12 600 12530 




40 
50 


6651 
7129 


479 
478 


3495 
3416 


80 
79 


9439 
9938 


498 
499 


.990 0354 
.988 2479 


17885 
17875 


20 
10 




8 
9 


H 400 11 320 
16 200 16 110 








478 




80 




498 




17865 






17800 


29 





164 7607 




0.986 3336 




0.167 0436 




5 986 4614 







31 


1 1 780 




10 
20 
30 
40 


8085 
8563 
9042 
9520 


478 
478 
479 
478 


3256 
3176 
3096 
3016 


80 
80 
80 
80 


0934 
1433 
1931 
2429 


498 
499 
498 
498 


.984 6760 
.982 8916 
.981 1082 
.979 3259 


17 854 
17844 
17834 
17823 


50 
40 
30 
20 




2 3 560 
3 5 340 
4 7 120 
5 8 900 
6 10 680 




50 


9998 


478 
478 


2936 


80 
80 


2928 


499 
498 


.977 5446 


17813 
17802 


10 




7 12 460 
8 1 1 240 


30 





165 0476 




986 2856 




167 3426 




5.975 7644 







30 


9 16020 






Cosmo 


Diff 


Smo 


DifT 


Cotangent 


DirT 


Tangent 


Din 


" 


' 


Proportional Parts 



80 30' 



58 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
9 30' 



' 


" 


Sino 


Diff 


Conine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 


30 



10 
20 
30 
40 


0.165 0476 
0954 
1432 
1911 
2389 


478 
478 
479 
478 


0.986 2856 
2776 
2696 
2616 
2536 


80 
80 
80 
80 


0.167 3426 
3924 
4423 
4921 
5420 


498 
499 
498 
499 


5.975 7644 
.973 9851 
.972 2069 
.970 4298 
.968 6536 


17793 
17782 
17771 
17762 



50 
40 
30 
20 


30 


4 

1 
2 
3 1 


Sine 

77 478 479 

47 7 47 8 47 9 
95 4 95 6 95 8 
43 1 143 4 143 7 




50 


2867 


478 


2456 


80 


5918 


498 


.966 8785 


17751 


10 




4 1 


90 8 191 2 191 6 








478 




81 




499 




17740 






5 2 


38 5 239 239 5 


31 



10 


0.166 3346 
3823 


478 


0.986 2375 
2295 


80 


0.167 6417 
6915 


498 


5 965 1045 
.963 3314 


17731 



50 


29 


6 2 
7 3 
8 3 


86 2 286 8 287 4 
33 9 334 6 335 3 
81 6 382 4 383 2 




20 


4301 


478 


2215 


80 


7413 


498 


.961 5594 


17 720 


40 




9 4 


29 3 430 2 431 1 




30 


4779 


478 


2135 


80 


7912 


499 


.959 7884 


17710 


30 








40 


5258 


479 


2055 


80 


8410 


498 


.958 0184 


17700 


20 




Cosine 




50 


5736 


478 
478 


1974 


81 
80 


8909 


499 
498 


.956 2494 


17690 
17679 


10 




80 81 82 


32 



10 


165 6214 
6692 


478 


986 1894 
1814 


80 


0.167 9407 
9906 


499 


5 954 4815 
.952 7146 


17669 



50 


28 


i 

2 
3 


80 81 82 
16 16 2 16 4 
24 24 3 24 6 




20 


7170 


478 


1734 


80 


0.168 0404 


498 


.950 9487 


17659 


40 




4 


32 32 4 32 8 




30 
40 
50 


7648 
8126 
8604 


478 
478 
478 


1653 
1573 
1492 


81 
80 
81 


0903 
1401 
1900 


499 
498 
499 


949 1838 
.947 4199 
945 6571 


17649 
17639 
17628 


30 
20 
10 




5 
6 

8 


40 40 5 41 
48 18 6 49 2 
56 56 7 57 4 
64 61 8 65 6 








478 




80 




498 




17619 






9 


72 72 9 73 8 


33 



10 
20 
30 
40 
50 


165 9082 
9560 
0.1660039 
0517 
0995 
1473 


478 
479 
478 
478 
478 


0.986 1412 
1332 
1251 
1171 
1090 
1009 


80 
81 
80 
81 
81 


168 2398 
2897 
3396 
3894 
4393 
4891 


499 
499 
498 
499 
498 


5 943 8952 
942 1344 
.940 3746 
938 6158 
.936 8581 
935 1013 


17608 
17598 
17588 
17577 
17568 



50 
40 
30 
20 
10 


27 


Tangent 

498 499 

49 8 49 9 
2 99 6 99 8 
3 1U 4 149 7 








478 




80 




499 




17 558 






1 199 2 199 6 


34 



10 
20 
30 


0.166 1951 
2429 
2907 
3385 


478 
478 
478 


0.986 0929 
0848 
0768 
0687 


81 
80 
81 


168 6390 
5888 
6387 
6886 


498 
499 
499 


6 933 3456 
.931 5908 
929 8371 
.928 0843 


17547 
17537 
17528 



50 
40 
30 


26 


5 249 249 5 
6 J98 8 299 4 
7 348 6 349 3 
8 398 4 399 '2 
9 448 2 449 1 




40 


3863 


478 


0606 


81 


7384 


498 


926 3326 


17 517 


20 








50 


4341 


478 
478 


0526 


80 
81 


7883 


499 
498 


.924 5819 


17 507 
17497 


10 




Cotangent 


35 



10 
20 
30 


0.166 4819 
5297 
5775 
6253 


478 
478 
478 


986 0445 
0364 
0284 
0203 


81 
80 
81 


168 8381 
8880 
9379 
9877 


499 
499 
498 


5 922 8322 
921 0835 
.919 3358 
.917 5891 


17487 
17477 
17467 



50 
40 
30 


25 


i 

3 
4 


17 800 17 700 

1 780 1 770 
3 560 3 540 
5 340 5310 
7 120 7 080 




40 


6731 


478 


0122 


81 


169 0376 


499 


.915 8434 


17 457 


20 




^ 


8 900 8 850 




50 


7209 


478 
478 


0041 


81 
81 


0875 


499 
498 


914 0987 


17 447 
17437 


10 




6 


10 680 10 620 
12 460 12 390 


36 



10 


0.166 7687 
8165 


478 


0.985 9960 
9880 


80 


169 1373 
1872 


499 


6.912 3550 
910 6123 


17427 



50 


24 


\\ 


11 240 14 160 
16 020 15 930 




20 


8644 


479 


9799 


81 


2371 


499 


.908 8706 


17 417 


40 




17 600 17 500 




30 
40 
50 


9122 
9600 
167 0078 


478 
478 
478 
478 


9718 
9637 
9556 


81 
81 
81 
81 


2869 
3368 
3867 


498 
499 
499 
499 


.907 1299 
905 3902 
903 $515 


17407 
17397 
17387 
17377 


30 
20 
10 




1 

3 
4 


1 760 1 750 
3 520 3 500 
5 280 5 250 
7 040 7 000 




























8 800 8 750 


37 





0.167 0566 




0.985 9475 




0.169 4366 


ino 


5.901 9138 


17 367 





23 


6 


10 560 10 500 




10 


1034 


478 


9394 


81 


4864 


Vto 


900 1771 




50 




7 


12 320 12 250 




20 
30 


1512 
1990 


478 
478 


9313 
9232 


81 
81 


5363 
5862 


499 
499 


.898 4414 
896 7067 


17357 
17347 


40 
30 




8 
9 


14 080 1 4 000 
15 840 15 750 




40 


2468 


478 


9151 


81 


6361 


499 


894 9729 


17 338 


20 




17 400 17 300 




50 


2945 


477 
478 


9070 


81 
82 


6859 


498 
499 


893 2402 


17 327 
17318 


10 




1 


1 740 1 730 
3 480 3 460 


38 



10 
20 
30 
40 
50 


0.167 3423 
3901 
4379 
4857 
5335 
5813 


478 
478 
478 
478 
478 
478 


0.985 8988 
8907 
8826 
8745 
8664 
8583 


81 
81 
81 
81 
81 
82 


0.169 7368 
7857 
8356 
8855 
9353 
9852 


499 
499 
499 
498 
499 
499 


5.891 5084 
.889 7776 
888 0479 
886 3191 
.884 5913 
.882 8644 


17308 
17297 
17288 
17278 
17269 
17258 



50 
40 
30 
20 
10 


22 


3 
4 
5 
6 

7 
8 
9 


5 220 5 190 
960 6 920 
8 700 8 650 
10 440 10 380 
12 180 12 110 
13 920 13 840 
15 660 15 570 

17200 


39 



10 


0.167 6291 
6769 


478 


0.985 8501 
8420 


81 


0.170 0361 
0850 


499 


6.881 1386 
.879 4137 


17249 



50 


21 


1 1 720 
2 3 440 




20 
30 
40 
50 


7247 
7725 
8203 
8681 


478 
478 
478 
478 
478 


8339 
8257 
8176 
8095 


81 
82 
81 
81 
82 


1349 
1848 
2346 

2845 


499 
499 
498 
499 
499 


877 6899 
875 9670 
.874 2451 
.872 5242 


17 238 
17229 
17219 
17209 
17200 


40 
30 
20 
10 




3 5 160 
4 6 880 
5 8 600 
6 10 320 
7 12 040 
8 13 760 


40 





0.167 9159 




0.985 8013 




0.170 3344 




6.870 8042 







20 


9 15 480 






Cobine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



80 20' 



SINES, COSINES, TANGENTS AND COTANGENTS 

9 40' 



59 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Part* 


40 



10 
20 


0.167 9169 
9637 
0.1680115 


478 
478 


0.986 8013 
7932 
7850 


81 
82 


0.170 3344 
3843 
4342 


499 
499 


6.870 8042 
869 0852 
.867 3672 


17190 
17180 
17 170 



50 
40 


20 


Sine 

477 478 

1 47 7 47 8 




30 
40 
50 


0593 
1071 
1549 


478 
478 
478 
477 


7769 
7687 
7606 


81 
82 
81 
82 


4841 
5340 
5839 


199 
499 
499 
499 


.865 6502 
.863 9342 
.862 2191 


17160 
17151 
17140 


30 
20 
10 




2 95 4 95 6 
3 113 1 143 4 

4 190 8 191 2 
5 238 5 239 


41 



10 
20 


168 2026 
2504 
2982 


478 
478 


0.986 7524 
7443 
7361 


81 
82 


0.170 6338 
6837 
7335 


499 
498 


6.860 6051 
.858 7919 
857 0798 


17132 
17121 

17 119 



50 
40 


19 


6 286 2 286 8 
7 333 9 334 6 
8 381 (i 382 4 
9 429 3 430 2 




30 


3460 


478 


7280 


81 


7834 


199 


855 3686 


LI 11* 
17 1ft? 


30 








40 
50 


3938 
4416 


478 
478 
478 


7198 
7116 


82 
82 
81 


8333 
8832 


199 
499 
499 


.853 6584 
.851 9492 


Ll IV A 

17092 
17082 


20 
10 




Cosine 

81 82 83 


42 



10 
20 
30 
40 
50 


168 4894 
5372 
5850 
6327 
6805 
7283 


478 
478 
477 
478 
478 


0.986 7036 
6953 
6871 
6790 
6708 
6626 


82 
82 
81 
82 
82 


170 9331 
9830 
171 0329 
0828 
1327 
1826 


499 
499 
499 
499 
499 


5.850 2410 
.848 5337 
.846 8273 
.845 1220 
.843 4176 
841 7142 


17073 
17064 
17053 
17044 
17034 



50 
40 
30 
20 
10 


18 


1 81 82 83 
2 16 2 16 4 16 6 
3 24 3 21 6 24 9 
4 32 4 32 8 33 2 
5 40 5 41 41 .1 
6 48 (} 49 2 49 8 
7 r>6 7 57 4 58 1 
8 f>4 8 65 ti 66 t 








478 




82 




499 




L7 025 






9 72 9 73 8 71 7 


43 



10 
20 
30 
40 
50 


0.168 7761 
8239 
8717 
9195 
9672 
169 0150 


478 
478 
478 
477 
478 


0.986 6544 
6462 
6380 
6299 
6217 
6135 


82 
82 
81 
82 
82 


0.171 2325 
2824 
3323 
3822 
4322 
4821 


499 
499 
499 
500 
499 


5.840 0117 
8383102 
836 6097 
.834 9101 
8332115 
.831 5139 


17015 
17005 
169% 
16986 
16976 
16 967 



50 
40 
30 
20 
10 


17 


Tangent 

498 499 500 

1 49 8 49 9 50 
2 99 6 99 8 100 
3 149 4 119 7 150 








478 




82 




499 










4 199 2 199 6 J(M) 


44 





169 0628 




985 6053 




0.171 6320 




5 829 8172 


1 QV7 





16 


r ) 249 249 5 250 




10 
20 
30 


1106 
1584 
2062 


478 
478 
478 


5971 
5889 
5807 


82 
82 
82 


5819 
6318 
6817 


499 
499 
499 


828 1215 
826 4267 
824 7329 


ID 3> i 
16948 
16938 
16 929 


50 
40 
30 




298 8 299 4 300 
7 31H 6 349 3 350 
8 3<W 1 399 2 400 
9 448 2 419 1 450 




40 


2539 


477 


5725 


82 


7316 


499 


823 0400 




20 








50 


3017 


478 
478 


5643 


82 
82 


7815 


499 
499 


.821 3481 


16 919 
16909 


10 




Cotangent 


45 





169 3496 




985 5561 




0.171 8314 




5 819 6572 







16 


17 200 17 100 




10 
20 
30 
40 


3973 
4451 
4928 
5406 


478 
478 
477 
478 


5478 
5396 
5314 
5232 


83 
82 
82 
82 


8813 
9313 
9812 
0.1720311 


499 
500 
499 
499 


817 9672 
816 2782 
814 5901 
.812 9029 


16 900 
16890 
16881 
16872 


50 
40 
30 
20 




1 1 720 1 710 
2 3 440 3 420 
3 5 100 5 130 
4 6 880 6 840 
5 8 600 8 550 




50 


5884 


478 
478 


5150 


82 
82 


0810 


499 
499 


811 2168 


16 861 
16853 


10 




6 10 320 10 2t>() 
7 12 00 11 970 


46 



10 


169 6362 
6840 


478 


986 5068 
4985 


83 


172 1309 
1808 


499 


5.809 5315 
807 8472 


16843 



50 


14 


8 13 700 13 680 
9 15 480 15 390 




20 


7317 


477 


4903 


82 


2308 


500 


.806 1639 


16 833 


40 




17 000 16 900 




30 


7795 


478 


4821 


82 


2807 


499 


804 4815 


16824 


30 




1 1 700 1 090 




40 
50 


8273 
8751 


478 
478 
477 


4738 
4656 


83 
82 
82 


3306 
3805 


499 
499 
499 


.802 8001 
801 1196 


16814 
16805 
167% 


20 
10 




2 3 400 3 380 
3 5 100 5 070 
4 800 6 760 


47 



10 


169 9228 
9706 


478 


0.985 4574 
4491 


83 


0.172 4304 
4804 


500 


5.799 4400 
.797 7614 


16786 



50 


13 


5 8 500 8 450 
6 10 200 10 140 
7 11900 11830 




20 
30 


0.170 0184 
0662 


478 
478 


4409 
4326 


82 
83 


5303 
5802 


499 
499 


796 0838 
794 4070 


16 776 
16768 


40 
30 




8 H 600 13 520 
9 15 300 15 210 




40 


1140 


478 


4244 


82 


6301 


499 


.792 7313 


16 75' 


20 




16 800 16 700 




50 


1617 


477 


4161 


83 


6801 


500 


791 0564 


16 74! 


10 




1 1 680 1 670 








478 




82 




499 




16 731 






2 3 360 3 340 


48 



10 
20 
30 


0.170 2095 
2573 
3050 
3528 


478 
477 
478 


0.985 4079 
3996 
3914 
3831 


83 
82 
83 


0.172 7300 
7799 
8299 
8798 


499 
500 
499 


5.789 3826 
787 7096 
786 0375 
784 3665 


16729 
16721 
16710 



50 
40 
30 


12 


3 5 040 5 010 
4 6 720 6 680 
5 8 400 8 350 
6 10 080 10 020 
7 11 760 11 690 




40 
50 


4006 
4484 


478 
478 


3749 
3666 


82 
83 


9297 
9796 


499 
499 


.782 6963 
.781 0271 


16 702 
16692 


20 
10 




8 13 440 13 360 
9 15 120 15 030 








477 




83 




500 




16 68! 






16600 


49 





0.170 4961 




985 3683 




173 0296 




5 779 3588 







11 


1 1 060 




10 


5439 


478 


3501 


82 


0795 


499 


777 6915 


16 67! 


50 




2 3 320 




20 
30 
40 
50 


5917 
6394 
6872 
7350 


478 
477 
478 
478 


3418 
3335 
3253 
3170 


83 
83 
82 
83 


1294 
1794 
2293 
2792 


499 
500 
499 
499 


.776 0251 
.774 3596 
.772 6951 
.771 0315 


16 66< 
16655 
16645 
16636 


40 
30 
20 
10 




3 4 980 
4 640 
5 8 300 
fi 9 960 
7 11 020 








478 




83 




50( 




16 62' 






8 13 280 


60 





0.170 7828 




0.985 3087 




0.173 3292 




6.769 3688 







10 


9 119100 






Cosine 


Diff 


Sine 


Diff 


Cotangent 


Did 


Tangent 


Diff. 


" 


' 


Proportional Parts 



80 10' 



60 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
9 50' 



' 


" 


8me 


Diff. 


Cosine 


Diff. 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 


60 





0.170 7828 




0.985 3087 




0.173 3292 




6.769 3688 







10 








10 
20 


1 8305 
8783 


477 
478 


3004 
2921 


83 
83 


3791 
4291 


499 
500 


.767 7070 
.766 0462 


16 618 
16608 


50 
40 






Sine 




30 


9261 


478 


2839 


82 


4790 


499 


.764 3863 


16599 


30 






477 478 




40 


9738 


477 


2756 


83 


5289 


499 


.762 7274 


16 589 


20 




1 


47 7 47 8 




50 


0.171 0216 


478 
478 


2673 


83 
83 


5789 


500 
499 


.761 0693 


16 581 
16571 


10 




'2 
3 


95 4 95 6 
143 1 143 4 


51 



10 


0.171 0694 
1171 


477 


0.986 2690 
2507 


83 


0.173 6288 
6788 


500 


6.759 4122 
.757 7560 


16562 



50 


9 


4 
5 
6 


190 8 191 2 
238 5 239 
286 2 286 8 




20 


1649 


478 


2424 


83 


7287 


499 


.756 1008 


16 552 


40 




7 


333 9 334 6 




30 
40 


2127 
2604 


478 
477 


2341 
2258 


83 
83 


7787 
8286 


500 
499 


.754 4464 
.752 7930 


16544 
16534 


30 
20 




8 
9 


381 6 382 4 
429 3 430 2 




50 


3082 


478 


2175 


83 


8786 


500 


.751 1405 


16525 


10 














478 




83 




499 




16 516 










62 



10 


0.171 3660 
4037 


477 


0.986 2092 
2009 


83 


0.173 9285 
9785 


500 


5.749 4889 
.747 8383 


16506 



50 


8 




Cosine 




20 


4515 


478 


1926 


83 


0.1740284 


499 


.746 1886 


16497 


40 




82 83 84 




30 
40 


4992 
5470 


477 
478 


1843 
1759 


83 
84 


0784 
1283 


500 
499 


.744 5397 
.742 8918 


16489 
16479 


30 
20 




1 

2 
3 


81! 83 81 
Ifi 4 16 b 16 8 
21 h '21 ) '.>& '?. 




50 


5948 


478 


1676 


83 


1783 


500 


.741 2449 


16 469 


10 




4 




8 33 2 33 6 








477 




83 




499 




16461 






5 


41 


41 5 42 


53 





0.171 6426 




0.986 1693 




0.174 2282 




5.739 6988 







7 


6 


41 


2 49 8 50 4 




10 
20 
30 


6903 
7381 
7858 


478 
478 
477 


1510 
1426 
1343 


83 
84 
83 


2782 
3281 
3781 


500 
499 
500 


.737 9537 
.736 3094 
.734 6661 


16451 
16443 
16433 


50 
40 
30 




7 
8 
9 


57 4 58 1 58 8 
05 b b6 4 67 '2 
73 8 74 7 75 6 




40 


8336 


478 


1260 


83 


4280 


499 


.733 0237 


16 424 


20 










50 


8813 


477 


1177 


83 


4780 


500 


.731 3822 


16415 


10 














478 




84 




499 




16406 








Tangent 


64 



10 


0.171 9291 
9769 


478 


0.985 1093 
1010 


83 


0.174 5279 
5779 


500 


5.729 7416 
728 1020 


163% 



50 


6 




499 500 




20 
30 


172 0246 
0724 


477 
478 


0927 
0843 


83 
84 


6279 
6778 


500 
499 


.726 4632 
724 8254 


16388 
16378 


40 
30 




2 
3 


49 9 50 
99 8 100 
149 7 150 




40 


1201 


477 


0760 


83 


7278 


500 


723 1884 


16 370 


20 




4 


19!) 200 




50 


1679 


478 


0676 


84 


7777 


499 


.721 5524 


16 360 


10 




r> 


249 5 250 








477 




83 




500 




16351 









29Q 1 300 


65 



10 


172 2166 
2634 


478 


0.986 0693 
0509 


84 


0.174 8277 
8777 


500 


5.719 9173 
718 2831 


16342 



50 


5 


7 
8 
9 


349 3 350 
399 2 400 
149 1 150 




20 


3112 


478 


0426 


83 


9276 


499 


716 6498 


16333 


40 










30 


3589 


477 


0342 


84 


9776 


500 


.715 0174 


16324 


30 










40 
50 


4067 
4544 


478 
477 


0259 
0175 


83 
84 


0.1750276 
0775 


500 
499 


.713 3859 
.711 7553 


16315 
16306 


20 
10 




Cotangent 








478 




84 




500 




16297 










56 



10 


172 5022 
5499 


477 


0.986 0091 
0008 


83 


0.175 1275 
1775 


500 


6.710 1266 
.708 4968 


16288 



50 


4 


i 

2 


16 600 16 500 

I 660 1 1)50 
3 320 3 300 




20 
30 
40 
50 


5977 
6454 
6932 
7410 


478 
477 
478 
478 
477 


984 9924 
9840 
9757 
9673 


84 
84 
83 
84 
84 


2274 
2774 
3274 
3773 


499 
500 
500 
499 
500 


706 8689 
705 2419 
.703 6158 
.701 9906 


16 279 
16270 
16261 
16252 
16 243 


40 
30 
20 
10 




3 

4 

6 

7 


\ 1)80 4 'WO 
b 610 (> (KM) () 
8 300 8 2>0 
900 9 900 
11 020 11 550 


























8 


U 


280 I { 200 


57 





172 7887 




984 9589 




0.176 4273 




6 700 3663 







3 


9 


14 940 1 t 850 




10 


8365 


478 


9505 


84 


4773 


500 


698 7429 


16234 


50 










20 


8842 


477 


9422 


83 


5273 


500 


.697 1204 


16225 


40 




16 400 16 300 




30 
40 
50 


9320 
9797 
173 0275 


478 
477 
478 


9338 
9254 
9170 


84 
84 
84 


5772 
6272 
6772 


499 
500 
500 


.695 4988 
693 8781 
.692 2583 


16 216 
16207 
16198 


30 
20 
10 




1 

3 
4 


1 640 1 630 
3 280 3 200 
4 920 4 890 
> 500 6 520 








477 




84 




500 




16 189 




































o 


8 


JOO 8 150 


58 



10 
20 
30 


173 0762 
1230 
1707 
2185 


478 
477 
478 


0.984 9086 
9002 
8918 
8834 


84 
84 
84 


0.176 7272 
7772 
8271 
8771 


500 
499 
500 


5.690 6394 
689 0214 
687 4042 
.685 7880 


16180 
16172 
16162 



50 
40 
30 


2 


6 

7 
8 
9 


9 840 9 780 
114800 114100 
13 120 13 040 
14 760 14 b70 




40 


2662 


477 


8750 


84 


9271 


500 


.684 1726 


16 154 


20 




16 200 16 100 




50 


3140 


478 


8666 


84 


9771 


500 


.682 5582 


16 144 


10 




1 


1 620 1 610 








477 




84 




500 




16 136 






2 


3 


240 3 220 


69 



10 
20 
30 


173 3617 
4094 
4572 
5049 


477 
478 
477 


0.984 8682 
8498 
8414 
8330 


84 
84 
84 


0.176 0271 
0770 
1270 
1770 


499 
500 
500 


5.6809446 
.679 3319 
.677 7201 
.676 1092 


16127 
16118 
16109 



50 
40 
30 


1 


3 
4 
5 
6 

7 


4 860 4 830 
b 480 6 440 
8 100 8 050 
9 720 9 660 
11 340 11 270 




40 
50 


5527 
6004 


478 
477 


8246 
8162 


84 
84 


2270 
2770 


500 
500 


.674 4992 
.672 8901 


16 100 
16091 


20 
10 




8 
9 


12 960 12 880 
14 580 14 490 








478 




84 




500 




16083 










60 





173 6482 




0.984 8078 




0.176 3270 




5.671 2818 







00 










Cosmo 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



80 (XX 



SINES, COSINES, TANGENTS AND COTANGENTS 
10 0' 



61 



' 


" 


Sine 


DilT 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 








0.173 6482 




0.984 8078 




0.176 3270 




6.671 2818 







60 


Sine 




10 


6959 


477 


7993 


85 


3770 


500 


.669 6745 


16073 


50 




477 478 




20 


7437 


478 


7909 


84 


4270 


500 


.668 0680 


16065 


40 




1 1 47 7 47 8 




30 


7914 


477 


7825 


84 


4770 


500 


.666 4624 


16056 


30 




2 95 4 95 




40 
50 


8392 
8869 


478 
477 
477 


7741 
7656 


84 
85 
84 


5269 
5769 


499 
500 
500 


.664 8576 
.663 2538 


16048 
16038 
16029 


20 
10 




3 113 1 143 4 
4 190 8 191 2 
5 J38 5 239 


1 



10 


0.173 9346 
9824 


478 


0.984 7672 
7488 


84 


0.176 6269 
6769 


500 


5.661 6609 
.660 0488 


16021 



50 


69 


6 J80 2 286 8 
7 333 9 334 6 
8 381 fi 382 4 




20 


0.1740301 


477 


7403 


85 


7269 


500 


.658 4476 


16012 


40 




9 429 3 430 2 




30 


0779 


478 


7319 


84 


7769 


500 


.656 8473 


16003 


30 








40 


1256 


477 


7235 


84 


8269 


500 


.655 2478 


15 995 


20 




Cosine 




50 


1733 


477 


7150 


85 


8769 


500 


.653 6493 


15985 


10 




84 85 86 








478 




84 




500 




15977 






1 


84 85 86 


2 





174 2211 




0.984 7066 




0.176 9269 




5.652 0616 







68 




16 8 17 17 2 




10 
20 
30 
40 


2688 
3166 
3643 
4120 


477 
478 
477 
477 


6981 
6897 
6812 
6728 


85 
84 
85 
84 


9769 
0.177 0269 
0769 
1269 


500 
500 
500 
500 


.650 4547 
648 8588 
647 2637 
.645 6695 


15969 
15959 
15951 
15942 


50 
40 
30 
20 




3 
4 

6 
7 


(1 5 2 25 5 25 8 
33 G 31 34 4 
12 42 5 43 
r >() 4 51 51 6 
58 8 59 5 GO 2 




50 


4598 


478 
477 


6643 


85 
85 


1769 


500 
500 


.644 0762 


15933 
15924 


10 




8 
9 


67 2 08 68 8 
75 6 76 5 77 4 


3 





0.174 5076 




984 6658 




0.177 2269 




6 642 4838 







57 






10 
20 


5553 
6030 


478 
477 


6474 
6389 


84 
85 


2769 
3269 


500 
500 


.640 8922 
639 3015 


15916 
15907 


50 
40 




Tangent 

499 500 501 




30 


6507 


477 


6304 


85 


3769 


500 


.6377117 


15898 


30 




i 


49 50 50 1 




40 
50 


6985 
7462 


478 
477 
477 


6220 
6135 


84 
85 
85 


4269 
4769 


500 
500 
501 


.636 1227 
.634 5346 


15890 
15881 
15872 


20 
10 




3 

i 


91 8 100 100 2 
49 7 150 150 3 
199 6 200 200 4 


4 



10 


0.174 7939 
8417 


478 


0.984 6050 
5966 


84 


0.177 6270 
5770 


500 


5 632 9474 
.631 3610 


15864 



50 


66 


6 
7 


249 5 250 250 5 
290 1 300 300 6 
349 3 350 350 7 




20 
30 


8894 
9371 


477 
477 


5881 
5796 


85 
85 


6270 
6770 


500 
500 


.629 7755 
.628 1909 


15855 
15846 


40 
30 




8 
9 


399 2 400 400 8 
149 1 450 450 9 




40 
50 


9849 
175 0326 


478 
477 


5711 
5626 


85 
85 


7270 
7770 


500 
500 


626 6071 
625 0242 


15838 
15829 


20 
10 




Cotangent 








477 




84 




500 




15821 






16 100 16 000 


5 





175 0803 




0.984 5642 




177 8270 




5.623 4421 







55 


i 


1 (]() 1 600 




10 
20 
30 
40 


1281 
1758 
2235 
2713 


478 
477 
477 
478 


5457 
5372 
5287 
5202 


85 
85 
85 
85 


8770 
9271 
9771 
0.178 0271 


500 
501 
500 
500 


621 8610 
620 2806 
.618 7012 
.617 1226 


15 811 
15804 
15794 
15786 


50 
40 
30 
20 




3 
4 
5 


3 JJO 3 200 
4 830 4 800 
6 440 6 400 
8 050 8 000 
9 dflO 9 600 




50 


3190 


477 
477 


5117 


85 
85 


0771 


500 
500 


615 5448 


15 778 
15768 


10 




8 


11 270 11 200 
12 880 12 800 


6 





175 3667 




0.984 5032 




0.178 1271 




5.613 9680 







64 


9 


1 490 14 400 




10 


4145 


478 


4947 


85 


1772 


501 


.612 3919 


15761 


50 




15 900 15 800 




20 


4622 


477 


4862 


85 


2272 


500 


.610 8168 


15 751 


40 




1 


1 590 1 580 




30 


5099 


477 


4777 


85 


2772 


500 


609 2425 


15 743 


30 




2 


3 180 3 160 




40 
50 


5576 
6054 


477 
478 
477 


4692 
4606 


85 
86 
85 


3272 
3772 


500 
500 
501 


607 6690 
.606 0964 


15 735 
15726 
15717 


20 
10 




3 

4 


4 770 4 740 
6 360 6 320 
7 910 7 900 


7 



10 
20 


0.175 6631 
7008 
7486 


477 
478 


0.984 4521 
4436 
4351 


85 
85 


0.178 4273 
4773 
5273 


500 
500 


5 604 6247 
.602 9538 
601 3837 


15709 
15701 



50 
40 


53 


h 

8 
9 


9 540 9 180 
11 130 11 060 
J 720 12 640 
14310 11 220 




30 


7963 


477 


4266 


85 


5773 


500 


.599 8146 


15691 


30 




15 700 15 600 




40 


8440 


477 


4180 


86 


6274 


501 


.598 2462 


15 684 


20 




1 


1 570 1 560 




50 


8917 


477 


4095 


85 


6774 


500 


.596 6788 


15 674 


10 






3 140 3 120 








478 




85 




500 




15667 






3 


4 710 4 G80 


8 



10 
20 
30 


0.176 9396 
9872 
176 0349 
0826 


477 
477 
477 


0.984 4010 
3925 
3839 
3754 


85 
86 
85 


0.178 7274 
7775 
8275 
8775 


501 
500 
500 


6.596 1121 
593 5463 
.591 9814 
.590 4173 


15658 
15649 
15641 



50 
40 
30 


62 


4 
5 
6 
7 
8 


6 280 6 240 
7 850 7 800 
9 420 9 360 
10 990 10 920 
12 500 12 480 




40 


1304 


478 


3669 


85 


9276 


501 


.588 8541 


15632 


20 




9 


14 130 14 040 




50 


1781 


477 
477 


3583 


86 
85 


9776 


500 
500 


.587 2917 


15 624 
15615 


10 




15500 


9 





0.176 2258 




0.984 3498 




0.179 0276 




6.586 7302 







51 


1 1 550 
2 3 100 




10 
20 


2735 
3212 


477 
477 


3412 
3327 


86 
85 


0777 
1277 


501 
500 


.584 1695 
582 6096 


15 607 
15599 


50 
40 




3 4 650 
4 6 200 




30 
40 


3690 
4167 


478 
477 


3241 
3156 


86 
85 


1777 
2278 


500 
501 


.581 0506 
.579 4924 


15 590 
15582 


30 
20 




5 7 750 
6 9 300 
7 10 850 




50 


4644 


477 
477 


3070 


86 
85 


2778 


500 
501 


.577 9351 


15 573 
15565 


10 




8 12 400 
9 13 950 


10 





0.176 5121 




0.984 2985 




0.179 3279 




5.676 3786 







50 








Cosine 


Diff 


Sine 


Diff 


Cotangent 


Djff 


Tangent 


Diff 


" 


' 


Proportional Parts 



79 50' 



62 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
10 10' 



' 


" 


Sine 


Diff 


CoHine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Pjoportional Parts 


10 





176 6121 




0.984 2985 




0.179 3279 




5.576 3786 







50 








10 
20 


5598 
6076 


477 
478 


2899 
2813 


86 
86 


3779 
4279 


500 
500 


.574 8230 
.573 2682 


15 556 
15548 


50 
40 






Sine 




30 


6553 


477 


2728 


85 


4780 


501 


571 7143 


15539 


30 






477 478 




40 


7030 


477 


2642 


86 


5280 


500 


.570 1611 


15 532 


20 




1 


47 7 47 8 




50 


7507 


477 
477 


2556 


86 
85 


5781 


501 
500 


.568 6089 


15 522 
15515 


10 




3 


9 r i t 95 
1131 1 13 4 


11 



10 


0.176 7984 
8462 


478 


0.984 2471 
2385 


86 


0.179 6281 
6782 


501 


6.567 0574 
565 5068 


15506 



50 


49 


4 

5 
6 


190 8 l'l 2 
238 5 239 

280 2 280 8 




20 


8939 


477 


2299 


86 


7282 


500 


563 9571 


15497 


40 




7 


333 9 334 G 




30 
40 


9416 
9893 


477 

477 


2214 
2128 


85 
86 


7783 
8283 


501 
500 


.562 4081 
560 8600 


15 490 
15481 


30 
20 




8 
9 


381 382 4 
429 3 430 2 




50 


0.1770370 


477 


2042 


86 


8783 


500 


.559 3128 


15 472 


10 














477 




86 




501 




15 465 










12 



10 


0.177 0847 
1325 


478 


0.984 1956 
1870 


86 


0.179 9284 
9785 


501 


6 657 7663 
.556 2207 


15456 



50 


48 




Cosine 




20 


1802 


477 


1784 


86 


0.1800285 


500 


.554 6760 


15447 


40 




85 86 87 




30 


2279 


477 


1698 


86 


0786 


501 


.553 1320 


15440 


30 




1 


85 80 87 




40 


2756 


477 


1612 


86 


1286 


500 


.551 5889 


15431 


20 




3 


17 17 2 17 4 

5 5 25 8 2(> 1 




50 


3233 


477 


1527 


85 


1787 


501 


.550 0467 


15422 


10 




4 


34 34 4 34 8 








477 




86 




500 




15415 






r> 


42 r 42 43 5 


13 





177 3710 




0.984 1441 




180 2287 




5.548 5062 







47 


b 


5 


51 52 2 




10 


4187 


477 


1355 


86 


2788 


501 


.546 9646 


15406 


50 




7 


59 5 bO 2 bO 9 




20 
30 


4664 
5142 


477 
478 


1269 
1182 


86 
87 


3288 
3789 


500 
501 


.545 4248 
.543 8859 


15398 
15389 


40 
30 




8 
9 


08 08 8 09 G 
70 5 77 4 78 3 




40 


5619 


477 


1096 


86 


4290 


501 


.542 3478 


15381 


20 










50 


6096 


477 


1010 


86 


4790 


500 


540 8105 


15373 


10 














477 




86 




501 




15365 










14 





177 6573 




0.984 0924 




180 5291 




6.639 2740 







46 




Tangent 




10 


7050 


477 


0838 


86 


5791 


500 


.537 7383 


15357 


50 






500 501 




20 


7527 


477 


0752 


86 


6292 


501 


.536 2035 


15 348 


40 




1 


50 50 1 




30 
40 


8004 
8481 


477 
477 


0666 
0579 


86 
87 


6793 
7293 


501 
500 


.534 6695 
533 1363 


15 340 
15332 


30 
20 




1 


100 100 2 
150 150 3 
200 200 4 




50 


8958 


477 


0493 


86 


7794 


501 


.531 6040 


15323 


10 






250 250 5 








477 




86 




501 




15316 






(> 


300 300 


15 



10 
20 


177 9435 
9913 
178 0390 


478 
477 


0.984 0407 
0321 
0234 


86 
87 


0.180 8295 
8795 
9296 


500 
501 


6 530 0724 
.528 5417 
.527 0118 


15307 
15299 



50 
40 


45 


8 
9 


350 350 7 
400 400 8 
450 450 9 




30 


0867 


477 


0148 


86 


9797 


501 


.525 4828 


15290 


30 










40 


1344 


477 


0062 


86 


0.181 0297 


500 


.523 9545 


15283 


20 










50 


1821 


477 
477 


983 9975 


87 
86 


0798 


501 
501 


.522 4271 


15274 
15266 


10 




Cotangent 


16 



10 
20 


0.178 2298 
2775 
3252 


477 
477 


0.983 9889 
9803 
9716 


86 
87 


181 1299 
1799 
2300 


500 
501 


6.620 9006 
.519 3747 
.517 8497 


15258 
15250 




50 
40 


44 


^ i 

2 
3 


15 500 15 400 

1 550 1 510 
3 100 3 080 
4 050 4 020 




30 


3729 


477 


9630 


86 


2801 


501 


.516 3255 


15 242 


30 




4 


200 100 




40 


4206 


477 


9543 


87 


3302 


501 


.514 8021 


15 234 


20 




5 


7 


750 7 700 




50 


4683 


477 
477 


9457 


86 
87 


3802 


500 
501 


.5132796 


15 225 
15217 


10 






7 


9 300 9 240 
10 850 10 780 


17 



10 


178 6160 
5637 


477 


0.983 9370 
9284 


86 


0.181 4303 
4804 


501 


5 611 7579 
.510 2370 


15209 



50 


43 


9 


12 400 12 320 
13 950 13 800 




20 


6114 


477 


9197 


87 


5305 


501 


.508 7169 


15201 


40 




15 300 15 200 




30 


6591 


477 


9110 


87 


5806 


501 


.507 1976 


15 193 


30 




1 


1 


530 1 520 




40 
50 


7068 
7545 


477 
477 
477 


9024 
8937 


86 
87 
87 


6306 
6807 


500 
501 
501 


.505 6791 
.504 1614 


15 185 
15177 
15168 


20 
10 




3 
4 


3 000 3 040 
4 590 4 500 
G 120 G 080 


18 



10 


178 8022 
8499 


477 


0.983 8850 
8764 


86 


0.181 7308 
7809 


501 


5.602 6446 
.501 1285 


15161 



50 


42 


5 



7 050 7 000 
9 180 9 120 
10 710 10 040 




20 
30 


8976 
9453 


477 
477 


8677 
8590 


87 
87 


8310 
8811 


501 
501 


.499 6133 
.498 0988 


15152 
15145 


40 
30 




8 
9 


12 240 12 100 
13 770 13 080 




40 
50 


9930 
179 0407 


477 
477 
477 


8503 
8417 


87 
86 
87 


9311 
9812 


500 
501 
501 


.496 5852 
.495 0724 


15 136 
15128 
15120 


20 
10 




1 


15 100 15 000 

1 510 1 500 


























2 


3 


IIZU (1 ( OH () 


19 





0.179 0884 




0.983 8330 




0.182 0313 




5.493 5604 







41 


3 


4 530 4 500 




10 


1361 


477 


8243 


87 


0814 


501 


.492 0492 


15 112 


50 




4 


G 040 6 000 




20 
30 
40 


1838 
2315 
2792 


477 
477 
477 


8156 
8069 
7982 


87 
87 
87 


1315 
1816 
2317 


501 
501 
501 


.490 5388 
.489 0292 
.487 5204 


15 104 
15096 
15088 


40 
30 
20 




5 


7 
8 


7 550 7 500 
9 000 9 000 
10 570 10 500 
12 080 12 000 




50 


3269 


477 


7895 


87 


2818 


501 


.486 0124 


15080 


10 




9 


13 590 13 500 








477 




87 




501 




15072 










20 





0.179 3746 




0.983 7808 




0.182 3319 




6.484 5062 







40 










Cosine 


Diff 


Sine 


Diff. 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



79 40' 



SINES, COSINES, TANGENTS AND COTANGENTS 
10 20' 



63 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Pioportional Parts 


20 





0.179 3746 




0.983 7808 




0.182 3319 




5.484 6052 







40 






10 
20 


4223 
4700 


477 
477 


7722 
7635 


86 
87 


3819 
4320 


500 
501 


.482 9988 
481 4932 


15064 
15056 


50 
40 




Sine 




30 


5177 


477 


7547 


88 


4821 


501 


.479 9884 


15048 


30 




476 477 




40 


5654 


477 


7460 


87 


5322 


501 


.478 4844 


15040 


20 




1 47 47 7 




50 


6131 


477 
476 


7373 


87 
87 


5823 


501 
501 


.476 9812 


15032 
15024 


10 




2 05 1 95 4 
3 142 8 113 1 


21 



10 


0.179 6607 
7084 


477 


0.983 7286 
7199 


87 


0.182 6324 
6825 


501 


5 475 4788 
.473 9773 


15015 



50 


39 


4 190 i 190 8 

5 238 238 5 
285 280 2 




20 


7561 


477 


7112 


87 


7326 


501 


.472 4765 


15 008 


40 




7 333 2 333 9 




30 
40 


8038 
8515 


477 
477 


7025 
6938 


87 
87 


7827 
8328 


501 
501 


.470 9765 
469 4772 


15000 
14993 


30 
20 




8 380 8 381 
9 428 4 429 3 




50 


8992 


477 


6850 


88 


8829 


501 


.467 9788 


14984 


10 












477 




87 




501 




14976 








22 



10 


0.179 9469 
9946 


477 


0.983 6763 
6676 


87 


0.182 9330 
9831 


501 


5.466 4812 
.464 9844 


14968 



50 


38 


Cosine 




20 


0.180 0423 


477 


6589 


87 


0.183 0332 


501 


.463 4884 


14960 


40 




86 87 88 89 




30 
40 


0900 
1377 


477 
477 


6501 
6414 


88 
87 


0834 
1335 


502 
501 


.461 9931 
.460 4987 


14 953 
14944 


30 
20 




1 

2 1 
3 1 


86 87 88 89 
7 2 17 4 17 17 8 
5 8 20 1 20 4 20 7 




50 


1853 


476 


6327 


87 


1836 


501 


.459 0050 


14937 


10 




4 d 


4 4 34 8 35 2 35 








477 




88 




501 




14929 






5 -i 


3 43 5 11 44 5 


23 



10 
20 
30 


0.180 2330 
2807 
3284 
3761 


477 
477 
477 


0.983 6239 
6152 
6065 
5977 


87 
87 
88 


183 2337 
2838 
3339 
3840 


501 
501 
501 


6.457 5121 
.456 0201 
.454 5288 
.453 0383 


14920 
14913 
14905 



50 
40 
30 


37 


fi I 
1 ( 
8 ( 


1 52 2 52 8 53 4 
2 GO 9 01 02 3 
8 8 09 70 4 71 2 
7 4 78 3 79 2 80 1 




40 


4238 


477 


5890 


87 


4341 


501 


.451 5486 


14897 


20 








50 


4715 


477 


5802 


88 


4842 


501 


.450 0596 


14 890 


10 












476 




87 




501 




14881 






Tangent 


24 



10 
20 
30 


0.180 6191 
5668 
6145 
6622 


477 
477 
477 


0.983 5716 
5627 
5540 
5452 


88 
87 
88 


0.183 6343 
5845 
6346 
6847 


502 
501 
501 


5.448 6715 
4470842 
.445 5976 
.4441118 


14873 
14866 
14858 



50 
40 
30 


36 


i 

3 


500 501 502 

50 50 1 50 2 
100 100 2 100 1 
150 150 3 150 




40 


7099 


477 


5364 


88 


7348 


501 


.442 6268 


14850 


20 




4 


200 200 4 200 8 




50 


7576 


477 
476 


5277 


87 
88 


7849 


501 
501 


.441 1426 


14842 
14834 


10 




5 



2')0 250 5 251 
.0)0 300 301 2 


25 



10 


0.180 8052 
8529 


477 


0.983 6189 
5102 


87 


0.183 8360 
8852 


502 


5.439 6592 
.438 1765 


14827 



50 


35 


8 
9 


3">0 350 7 351 4 
400 400 8 401 6 
450 450 9 451 8 




20 


9006 


477 


5014 


88 


9353 


501 


.436 6946 


14819 


40 








30 


9483 


477 


4926 


88 


9854 


501 


.435 2136 


14810 


30 








40 
50 


9960 
0.181 0437 


477 
477 


4838 
4751 


88 
87 


0.184 0355 
0857 


501 
502 


.433 7333 
.432 2537 


14803 
14796 


20 
10 




Cotangent 








476 




88 




501 




14 787 






15 100 15 000 


26 



10 


0.181 0913 
1390 


477 


983 4663 

4575 


88 


0.184 1358 
1859 


501 


6.430 7760 
.429 2970 


14780 



50 


34 


i 


1 510 1 500 
3 020 3 000 




20 
30 
40 
50 


1867 
2344 
2820 
3297 


477 
477 
476 
477 


4487 
4399 
4311 
4224 


88 
88 
88 
87 


2360 
2862 
3363 
3864 


501 
502 
501 
501 


427 8198 
.426 3434 
.424 8678 
.423 3929 


14772 
14764 
14756 
14749 


40 
30 
20 
10 




3 
4 



7 


4 530 1 500 
0010 0000 
7 550 7 500 
9 000 9 000 
10 570 10 500 








477 




88 




501 




14 741 






8 


12080 12000 


27 





181 3774 




983 4136 




0.184 4365 




6 421 9188 







33 


9 


13 590 13 500 




10 
20 
30 
40 


4251 
4728 
5204 
5681 


477 
477 
476 
477 


4048 
3960 
3872 
3784 


88 
88 
88 
88 


4867 
5368 
5869 
6371 


502 
501 
501 
502 


.420 4455 
418 9730 
.417 5012 
.416 0302 


14 733 
14725 
14718 
14710 


50 
40 
30 
20 




1 
3 


14 900 14 800 

1 190 1 480 
2 980 2 900 
4 170 4 440 




50 


6158 


477 


3696 


88 


6872 


501 


.414 5600 


14702 


10 




4 


5 900 5 920 








477 




88 




501 




14694 






5 


7 450 7 400 


28 



10 
20 


0.181 6635 
7111 
7588 


476 
477 


0.983 3608 
3520 
3431 


88 
89 


0.184 7373 
7875 
8376 


502 
501 


5.413 0906 
411 6219 
.410 1540 


14687 
14679 



50 
40 


32 




8 
9 


8 910 8 880 
10 430 10 300 
119200 11 840 
13 410 13 320 




30 


8065 


477 


3343 


88 


8878 


502 


.408 6868 


14672 


30 








40 


8542 


477 


3255 


88 


9379 


501 


.407 2205 


14663 


20 




14 700 14 600 




50 


9018 


476 


3167 


88 


9880 


501 


.405 7549 


14656 


10 




1 


1 470 1 400 








477 




88 




502 




14648 








2 910 2 M20 


29 



10 
20 


0.181 9495 
9972 
0.182 0448 


477 
476 


0.983 3079 
2991 
2902 


88 
89 


0.185 0382 
0883 
1385 


501 
502 


5.404 2901 
.402 8260 
.401 3627 


14641 
14633 



50 
40 


31 


4 
5 
6 


4 410 4 380 
5 880 5 810 
7 3 r >() 7 300 
8 820 8 700 




30 
40 
50 


0925 
1402 
1879 


477 
477 
477 


2814 
2726 
2637 


88 
88 
89 


1886 
2388 
2889 


501 
502 
501 


.399 9002 
.398 4384 
.396 9774 


14625 
14618 
14610 


30 
20 
10 




7 
8 
9 


10 290 10 220 
11 760 11 080 
13 230 H 1 10 








476 




88 




501 




14602 








30 





0.182 2365 




0.983 2649 




0.185 3390 




5.395 6172 







30 








Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



79 30' 



64 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 



10 30' 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 


30 





0.182 2365 




0.983 2549 




0.185 3390 




6.395 6172 







30 








10 


2832 


477 


2461 


88 


3892 


502 


.394 0577 


14 595 


50 






Sine 




20 
30 
40 


3309 
3785 
4262 


477 
476 
477 


2372 
2284 
2195 


89 
88 
89 


4393 
4895 
5396 


501 
502 
501 


.392 5990 
.391 1411 
.389 6839 


14 587 
14579 
14572 


40 
30 
20 




1 
2 


476 477 

47 6 47 7 
95 2 95 4 




50 


4739 


477 


2107 


88 


5898 


502 


.388 2275 


14 564 


10 




3 


142 8 143 1 








476 




88 




501 




14 557 






4 


190 4 190 8 


31 



10 
20 


0.182 6216 
5692 
6169 


477 
477 


0.983 2019 
1930 
1842 


89 
88 


0.185 6399 
6901 
7402 


502 
501 


6.386 7718 
.385 3169 
.383 8627 


14549 
14542 



50 
40 


29 


5 
6 

7 
8 


238 238 5 
285 6 286 2 
333 2 333 9 
380 8 381 6 




30 


6645 


476 


1753 


89 


7904 


502 


.382 4094 


14 533 


30 




9 


428 4 429 3 




40 


7122 


477 


1664 


89 


8406 


502 


.380 9567 


14 527 


20 










50 


7599 


477 


1576 


88 


8907 


501 


.379 5049 


14 518 


10 














476 




89 




502 




14 511 










32 





0.182 8076 




0.983 1487 




0.185 9409 




6.378 0538 







28 




Cosine 




10 


8552 


477 


1399 


88 


9910 


501 


.376 6034 


14 504 


50 




88 89 90 




20 


9029 


477 


1310 


89 


186 0412 


502 


.375 1538 


144% 


40 




1 


} 8 89 90 




30 


9505 


476 


1221 


89 


0913 


501 


.373 7050 


14488 


30 




2 


1 


76 17 8 18 




40 
50 


9982 
0.183 0458 


477 
476 
477 


1133 
1044 


88 
89 
89 


1415 
1917 


502 
502 
501 


.372 2569 
.370 8096 


14 481 
14473 
14466 


20 
10 




3 
4 
5 


2 > 4 26 7 27 
35 2 35 6 36 
44 44 5 45 


33 





0.183 0935 




0.983 0955 




0.186 2418 




5 369 3630 







27 


6 

7 


5'> 8 53 4 54 
61 ft fi2 3 fl2 n 




10 


1412 


477 


0866 


89 


2920 


502 


.367 9172 


14 458 


50 




8 


7( 


4 71 2 72 




20 


1888 


476 


0777 


89 


3422 


502 


.366 4721 


14451 


40 




9 


79 2 80 1 81 




30 


2365 


477 


0689 


88 


3923 


501 


.365 0278 


14 443 


30 










40 


2842 


477 


0600 


89 


4425 


502 


.363 5842 


14436 


20 










50 


3318 


476 
477 


0511 


89 
89 


4927 


502 
501 


.362 1414 


14 428 
14421 


10 






Tangent 


34 





0.183 3795 




0.983 0422 




0.186 5428 




6.360 6993 







26 




501 502 




10 


4271 


476 


0333 


89 


5930 


502 


.359 2580 


14 413 


50 




1 


50 1 50 2 




20 


4748 


477 


0244 


89 


6432 


502 


.357 8174 


14406 


40 




2 


100 2 100 4 




30 


5224 


476 


0155 


89 


6933 


501 


.356 3776 


14 398 


30 




4 


150 3 150 6 
200 4 200 8 




40 


5701 


477 


0066 


89 


7435 


502 


.354 9385 


14 391 


20 






250 5 251 




50 


6178 


477 


0.982 9977 


89 


7937 


502 


.353 5002 


14383 


10 




6 


300 6 301 2 








476 




89 




502 




14376 






7 


350 7 351 4 


35 



10 


0.183 6654 
7131 


477 


0.982 9888 
9799 


89 


0.186 8439 
8940 


501 


6.352 0626 
.350 6258 


14368 



50 


25 


8 
9 


400 8 401 6 
450 9 451 8 




20 


7607 


476 


9710 


89 


9442 


502 


.349 1897 


14361 


40 










30 


8084 


477 


9621 


89 


9944 


502 


.347 7543 


14354 


30 










40 
50 


8560 
9037 


476 
477 
477 


9532 
9443 


89 
89 
90 


0.1870446 
0947 


502 
501 
502 


.346 3197 
.344 8859 


14346 
14338 
14332 


20 
10 




Cotangent 

14 600 14 500 


36 



10 
20 


0.183 9514 
9990 
0.1840467 


476 
477 


0.982 9353 
9264 
9175 


89 
89 


0.187 1449 
1951 
2453 


502 
502 


5.343 4527 
.342 0204 
.340 5887 


14323 
14317 



50 
40 


24 


3 
4 


1 460 1 450 
2 920 2 900 
4 380 4 350 
5 840 5 800 




30 


0943 


476 


9086 


89 


2955 


502 


.339 1578 


14309 


30 




5 


7 300 7 250 




40 
50 


1420 
1896 


477 
476 
477 


8997 
8907 


89 
90 
89 


3456 
3958 


501 
502 
502 


.337 7277 
.336 2983 


14301 
14294 
14287 


20 
10 




6 

7 
8 


8 760 8 700 
10 220 10 150 
11 680 11 600 


























9 


13 


140 13 050 


37 





0.184 2373 




0.982 8818 




0.187 4460 




5.334 8696 







23 








10 


2849 


476 


8729 


89 


4962 


502 


.333 4417 


14279 


50 




14 400 14 300 




20 


3326 


477 


8639 


90 


5464 


502 


.332 0145 


14272 


40 




1 1 440 1 430 




30 
40 
50 


3802 
4279 
4755 


476 
477 
476 
477 


8550 
8461 
8371 


89 
89 
90 
89 


5966 
6468 
6969 


502 
502 
501 
502 


.330 5880 
.329 1623 
.327 7373 


14265 
14257 
14250 
14242 


30 
20 
10 




2 
3 
4 
5 


2 880 2 860 
4 320 4 290 
5 760 5 720 
7 200 7 150 


























G 


3 


fun n a sen n 


38 





0.184 5232 




0.982 8282 




0.187 7471 




5.326 3131 







22 


7 


10 080 10 010 




10 
20 


5708 
6185 


476 
477 


8192 
8103 


90 
89 


7973 
8475 


502 
502 


.324 8896 
.323 4668 


14 235 
14228 


50 
40 




8 
9 


115200 114400 
12 960 12 870 




30 
40 
50 


6661 
7138 
7614 


476 
477 
476 
477 


8013 
7924 
7834 


90 
89 
90 
90 


8977 
9479 
9981 


502 
502 
502 
502 


.322 0448 
.320 6234 
.319 2029 


14220 
14214 
14205 
14199 


30 
20 
10 




1 

2 
3 


14 200 14 100 

1 420 1 410 
2 840 2 820 
4 260 4 230 


39 





0.184 8091 




0.982 7744 




0.1880483 




6.317 7830 







21 


4 


5 680 5 640 




10 
20 
30 
40 


8567 
9043 
9520 
9996 


476 
476 
477 
476 


7655 
7565 
7476 
7386 


89 
90 
89 
90 


0985 
1487 
1989 
2491 


502 
502 
502 
502 


.316 3639 
.314 9455 
.313 5279 
.312 1110 


14 191 
14184 
14176 
14169 


50 
40 
30 
20 




5 
6 
7 
8 
9 


7 100 7 050 
8 520 8 460 
9 940 9 870 
11 360 11 280 
12 780 12 690 




50 


0.185 0473 


477 


7296 


90 


2993 


502 


.310 6948 


14 162 


10 














476 




90 




502 




14155 










40 





0.185 0949 




0.982 7206 




0.188 3496 




6.309 2793 







20 










Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff. 


" 


' 


Proportional Parts 



79 20' 



SINES, COSINES, TANGENTS AND COTANGENTS 
10 40' 



65 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff. 






Propoitional Parts 


40 





0.185 0949 




0.982 7206 




0.188 3496 




5.309 2793 







20 




Sine 




10 
20 
30 


1426 
1902 
2379 


477 
476 
477 


7117 
7027 
6937 


89 
90 
90 


3997 
4499 
5001 


502 
502 
502 


.307 8646 
.306 4506 
.305 0373 


14147 
14140 
14133 


50 
40 
30 




1 


476 477 

47 6 47 7 
95 2 95 4 




40 


2855 


476 


6847 


90 


5503 


502 


.303 6248 


14 125 


20 




3 


142 8 143 1 




50 


3331 


476 


6757 


90 


6005 


502 


.302 2129 


14119 


10 




4 


190 4 190 8 








477 




89 




502 




14111 






5 


238 238 5 


41 



10 
20 


0.186 3808 
4284 
4761 


476 
477 


0.982 6668 
6578 
6488 


90 
90 


0.188 6507 
7009 
7511 


502 
502 


5.300 8018 
.299 3915 
297 9818 


14103 
14097 



50 
40 


19 


t> 
7 
8 
9 


285 6 286 2 
333 2 333 9 
380 8 381 6 
428 4 429 3 




30 


5237 


476 


6398 


90 


8013 


502 


296 5729 


14089 


30 










40 


5713 


476 


6308 


90 


8515 


502 


.295 1647 


14082 


20 










50 


6190 


477 
476 


6218 


90 
90 


9017 


502 
503 


293 7572 


14075 
14067 


10 






Cosine 


42 



10 


0.185 6666 
7143 


477 


0.982 6128 
6038 


90 


0.188 9520 
0.1890022 


502 


6 292 3505 
2909444 


14061 



50 


18 


89 90 91 

l 80 no <> i 




20 


7619 


476 


5948 


90 


0524 


502 


.289 5391 


14 053 


40 




2 


] 


'8 18 18 2 




30 


8095 


476 


5858 


90 


1026 


502 


288 1345 


14046 


30 




3 


2b 7 27 27 3 




40 


8572 


477 


5768 


90 


1528 


502 


.286 7306 


14039 


20 




4 


35 b 36 36 4 




50 


9048 


476 
476 


5678 


90 
91 


2030 


502 
503 


285 3275 


14031 
14024 


10 




5 
b 


41 5 45 45 5 
53 4 54 54 6 


























7 




' .< (>.< I) li.X 7 


43 





185 9524 




0.982 6587 




189 2633 




5.283 9251 







17 


8 


71 2 72 6 72 8 




10 


0.1860001 


477 


5497 


90 


3035 


502 


282 5233 


14018 


50 




9 


80 I 81 81 9 




20 


0477 


476 


5407 


90 


3537 


502 


281 1223 


14010 


40 










30 


0953 


476 


5317 


90 


4039 


502 


.279 7221 


14002 


30 










40 
50 


1430 
1906 


477 
476 


5227 
5136 


90 
91 


4541 
5044 


502 
503 


278 3225 
.276 9237 


13 996 
13988 


20 
10 






Tangent 








476 




90 




502 




13982 








502 503 


44 





186 2382 




0.982 5046 




0.189 5546 




6.276 5265 







16 


1 


50 2 50 3 




10 


2859 


477 


4956 


90 


6048 


502 


.274 1281 


13 974 


50 




2 


100 4 100 6 




20 
30 
40 


3335 
3811 
4288 


476 
476 
477 


4866 

4775 
4685 


90 
91 
90 


6550 
7052 

7555 


502 
502 
503 


272 7314 
271 3354 
.269 9401 


13967 
13960 
13953 


40 
30 
20 




3 
4 


50 6 150 9 
200 8 201 2 
J51 251 5 
301 2 301 8 




50 


4764 


476 


4594 


91 


8057 


502 


268 5456 


13945 


10 




7 


::>i 4 352 i 








476 




90 




502 




13939 






8 


401 1) 402 4 


45 





0.186 5240 




0.982 4504 




0.189 8559 




6 267 1617 







15 


9 


451 8 452 7 




10 


5717 


477 


4414 


90 


9062 


503 


265 7586 


13 931 


50 










20 


6193 


476 


4323 


91 


9564 


502 


264 3662 


13 924 


40 










30 
40 
50 


6669 
7146 
7622 


476 
477 
476 


4233 
4142 
4052 


90 
91 
90 


190 0066 
0569 
1071 


502 
503 
502 


.262 9744 
261 5834 
.260 1931 


13918 
13910 
13903 


30 
20 
10 




Cotangent 

14 200 14 100 








476 




91 




502 




138% 






i 


1 


121 1 410 


46 



10 


186 8098 
8574 


476 


0.982 3961 
3870 


91 


190 1573 
2076 


503 


5.258 8035 
257 4147 


13888 



50 


14 


3 
4 


4 


8 1( 2 820 
2(>( 4 2W 
t)S( 5 610 




20 
30 


9051 
9527 


477 
476 


3780 
3689 


90 
91 


2578 
3080 


502 
502 


256 0265 
.254 6390 


13 882 
13875 


40 
30 




5 
b 


8 


101 7 050 
521 8 160 




40 
50 


0.1870003 
0479 


476 
476 
477 


3599 
3508 


90 
91 
91 


3583 
4085 


503 
502 
502 


253 2523 
.251 8662 


13867 
13861 
13853 


20 
10 




8 
9 


( 940 ') 870 
11 300 11 280 
12 7SO 12 690 


47 



10 
20 


0.187 0956 
1432 
1908 


476 
476 


0.982 3417 
3326 
3236 


91 
90 


0.190 4587 
5090 
5592 


503 
502 


5.250 4809 
.249 0962 
247 7123 


13847 
13 39 



50 
40 


13 


1 


14 000 13 900 

1 < 00 1 390 
2 800 '2 780 




30 
40 
50 


2384 
2861 
3337 


476 
477 
476 
476 


3145 
3054 
2963 


91 
91 
91 
90 


6095 
6597 
7100 


503 
502 
503 
502 


.246 3291 
244 9465 
243 5647 


13832 
13826 
13818 
13811 


30 
20 
10 




3 
4 
5 
6 


1 200 4 170 
5 )()() 5 500 
7 000 6 950 
8 400 8 340 
9 800 9 730 


48 



10 


0.187 3813 
4289 


476 


0.982 2873 
2782 


91 


0.190 7602 
8104 


502 


5.242 1836 
240 8032 


13804 



50 


12 


8 
9 


11 200 11 120 
12 bOO 12 510 




20 
30 
40 
50 


4766 
5242 
5718 
6194 


477 
476 
476 
476 
476 


2691 
2600 
2509 
2418 


91 
91 
91 
91 
91 


8607 
9109 
9612 
0.191 0114 


503 
502 
503 
502 
503 


.239 4234 
2380444 
.236 6661 
.235 2885 


13 798 
13790 
13783 
13776 
13769 


40 
30 
20 
10 




1 

2 
3 
4 


13 800 13 700 

1 380 1 370 
2 700 2 710 
4 110 4 110 
5 520 5 480 


49 



10 
20 
30 
40 
50 


0.187 6670 
7147 
7623 
8099 
8575 
9051 


477 
476 
476 
476 
476 


0.982 2327 
2236 
2145 
2054 
1963 
1872 


91 
91 
91 
91 
91 


0.191 0617 
1119 
1622 
2125 
2627 
3130 


502 
503 
503 
502 
503 


5.233 9116 
.232 5353 
.231 1598 
.229 7850 
.228 4109 
.227 0374 


13763 
13755 
13748 
13741 
13735 



50 
40 
30 
20 
10 


11 


5 
6 

7 
8 
9 


6 MOO b 850 
8 280 8 220 
9 GOO 9 590 
11 040 10960 
12 420 12 330 








477 




91 




502 




13 727 










50 





0.187 9528 




0.982 1781 




0.191 3632 




5.226 6647 







10 










Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



79 10' 



66 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
10 50' 



' 


" 


Sine 


Diff 


Cosmo 


D.fT 


Tangent 


Diff 


Cotangent 


DiiT 






Proportional Parts 


50 





0.187 9628 




982 1781 




0.191 3632 




5.225 6647 







10 






10 


0.1880004 


476 


1690 


91 


4135 


503 


.224 2926 


13721 


50 




Sitifi 




20 
30 
40 
50 


0480 
0956 
1432 
1908 


476 
476 
476 
476 


1598 
1507 
1416 
1325 


92 
91 
91 
91 


4637 
5140 
5643 
6145 


502 
503 
503 
502 


.222 9213 
.221 5506 
220 1807 
.218 8114 


13713 
13707 
13699 
13693 


40 
30 
20 
10 




1 

2 

3 


475 476 477 

47 5 47 6 47 7 
95 95 2 95 4 
142 5 142 8 143 1 








477 




91 




503 




13 686 






4 


190 190 4 190 8 


51 





188 2385 




0.982 1234 




0.191 6648 




5.217 4428 







9 


r, 


237 f> 238 238 5 




10 
20 
30 


2861 
3337 
3813 


476 
476 
476 


1142 
1051 
0960 


92 
91 
91 


7150 
7653 
8156 


502 
503 
503 


.216 0750 
.214 7078 
.213 3413 


13678 
13672 
13665 


50 
40 
30 






7 
8 
9 


285 28.) 6 286 2 
3'52 5 333 2 333 9 
380 380 8 381 6 
427 5 428 4 429 3 




40 


4289 


476 


0868 


92 


8658 


502 


.211 9755 


13658 


20 








50 


4765 


476 


0777 


91 


9161 


503 


.210 6103 


13652 


10 












476 




91 




503 




13644 








52 





188 5241 




982 0686 




0.191 9664 




6.209 2459 







8 


Cosine 




10 
20 


5717 
6194 


476 
477 


0594 
0503 


92 
91 


0.192 0166 
0669 


502 
503 


207 8822 
206 5191 


13637 
13631 


50 
40 




91 92 93 

| (11 H O 11 




30 


6670 


476 


0411 


92 


1172 


503 


205 1568 


13623 


30 






IS 2 18 4 18 fi 




40 


7146 


476 


0320 


91 


1674 


502 


203 7951 


13617 


20 




3 


27 .\ 27 6 27 9 




50 


7622 


476 


0228 


92 


2177 


503 


202 4341 


13610 


10 




4 


30 1 36 8 37 2 








476 




91 




503 




13603 








15 5 46 46 5 


63 



10 


188 8098 
8574 


476 


982 0137 
0045 


92 


0.192 2680 
3183 


503 


6.201 0738 
.1997142 


13596 



50 


7 


7 

8 


54 6 55 2 55 8 
03 7 64 4 65 1 
72 8 73 6 74 4 




20 


9050 


476 


981 9954 


91 


3685 


502 


.1983553 


13589 


40 




9 


81 9 82 8 8.5 7 




30 


9526 


476 


9862 


92 


4188 


503 


.196 9970 


13 583 


30 








40 


0.1890002 


476 


9770 


92 


4691 


503 


.195 6394 


13 576 


20 








50 


0478 


476 
476 


9679 


91 
92 


5194 


503 
502 


.1942826 


13 568 
13562 


10 




Tangent 


54 





189 0954 




0.981 9587 




0.192 6696 




5.192 9264 







6 


502 503 504 




10 


1430 


476 


9495 


92 


6199 


503 


191 5709 


13 555 


50 




I 


50 2 50 3 50 4 




20 


1907 


477 


9404 


91 


6702 


503 


.1902160 


13 549 


40 




2 


100 4 100 6 100 8 




30 
40 
50 


2383 
2859 
3335 


476 
476 
476 


9312 
9220 
9128 


92 
92 
92 


7205 
7708 
8211 


503 
503 
503 


.188 8619 
.1875084 
.186 1556 


13 541 
13535 
13528 


30 
20 
10 




3 
4 
5 
6 


150 150 9 151 2 
200 8 201 2 L'Ol 6 
251 251 5 252 
Ml 2 301 8 302 4 








476 




91 




502 




13 521 






7 


351 4 352 1 352 8 


65 



10 


0.189 3811 
4287 


476 


0.981 9037 
8945 


92 


192 8713 
9216 


503 


6 184 8035 
.1834521 


13514 



50 


5 


8 
9 


101 402 4 403 2 
451 8 45J 7 453 6 




20 


4763 


476 


8853 


92 


9719 


503 


.182 1013 


13 508 


40 








30 


5239 


476 


8761 


92 


0.193 0222 


503 


.180 7513 


13 500 


30 








40 
50 


5715 
6191 


476 
476 


8669 
8577 


92 
92 


0725 
1228 


503 
503 


.1794019 
.178 0532 


13494 
13487 


20 
10 




Cotangent 








476 




92 




503 




13 481 






13 700 13 600 


66 





189 6667 




0.981 8485 




0.193 1731 




6 176 7051 







4\ 


i 


1 370 1 360 




10 
20 


7143 
7619 


476 
476 


8393 
8301 


92 
92 


2234 
2736 


503 
502 


.1753578 
.1740111 


13 473 
13467 


50 
40 




2 
3 
4 


2 740 2 720 
4 110 4080 
5 480 5 440 




30 
40 


8095 
8571 


476 
476 


8209 
8117 


92 
92 


3239 
3742 


503 
503 


.172 6651 
.171 3197 


13 460 
13454 


30 
20 




(> 


6 850 6 800 
8 220 8 IbO 




50 


9047 


476 
476 


8025 


92 
92 


4245 


503 
503 


.169 9751 


13 446 
13440 


10 




7 
8 


9 510 9 520 
10960 10880 




























10 M'Jn A i o -nn n 


67 





0.189 9523 




981 7933 




0.193 4748 




6.168 6311 







3 


. m .J...U U i- i.11, U 




10 
20 
30 


9999 
0.190 0475 
0951 


476 
476 
476 


7841 
7749 
7657 


92 
92 
92 


5251 

5754 
6257 


503 
503 
503 


.1672878 
.165 9452 
164 6032 


13 433 
13426 
13420 


50 
40 
30 




1 


13 500 13 400 

1 350 1 340 
2 700 2 680 




40 
50 


1427 
1903 


476 
476 
476 


7565 
7472 


92 
93 
92 


6760 
7263 


503 
503 
503 


163 2619 
.161 9213 


13 413 
13406 
13400 


20 
10 




A 

4 


4 050 4 020 
5 400 5 360 
6 750 6 700 


58 



10 
20 


0.190 2379 
2855 
3331 


476 
476 


981 7380 
7288 
7196 


92 
92 


0.193 7766 
8269 
8772 


503 
503 


5.160 5813 
159 2420 
.157 9034 


13393 
13386 



50 
40 


2 


6 

8 
9 


8 100 8 010 
9 450 9 380 
10 800 10 720 
12 150 12 060 




30 
40 
50 


3807 
4283 
4758 


476 
476 
475 
476 


7103 
7011 
6919 


93 
92 
92 
93 


9275 
9778 
0.194 0281 


503 
503 
503 
503 


.156 5655 
.155 2282 
.153 8916 


13 379 
13373 
13366 
13359 


30 
20 
10 




13300 

1 1 330 
2 2 660 
3 3 990 


59 





190 5234 




0.981 6826 




0.194 0784 




6.162 5667 







1 


4 5 320 




10 


5710 


476 


6734 


92 


1288 


504 


.151 2204 


13353 


50 




5 6 650 




20 
30 
40 


6186 
6662 
7138 


476 
476 
476 


6642 
6549 
6457 


92 
93 
92 


1791 
2294 
2797 


503 
503 
503 


.1498858 
.148 5518 
.147 2186 


13 346 
13340 
13332 


40 
30 
20 




6 7 980 
7 9 310 
8 10 640 
9 11 970 




50 


7614 


476 


6364 


93 


3300 


503 


.145 8860 


13 326 


10 












476 




92 




503 




13 320 








60 





0.1908090 




0.981 6272 




0.194 3803 




5.144 5540 
















Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff. 


" 


' 


Proportional Parts 



79 00' 



SINES, COSINES, TANGENTS AND COTANGENTS 
11 0' 



67 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 








0.1908090 




0.981 6272 




0.194 3803 




5.144 5540 







60 






10 
20 


8566 
9042 


476 
476 


6179 
6087 


93 
92 


4306 
4809 


503 
503 


.143 2227 
.141 8921 


13 313 
13306 


50 
40 




Sine 




30 


9518 


476 


5994 


93 


5313 


504 


.140 5622 


13299 


30 




475 476 




40 
50 


9994 
191 0469 


476 
475 


5902 
5809 


92 
93 


5816 
6319 


503 
503 


.139 2329 
.137 9043 


13293 
13286 


20 
10 




1 47 5 47 6 
2 95 95 2 
3 142 5 142 8 








476 




93 




503 




13 280 






1 190 190 4 


1 





0.191 0945 




981 5716 




194 6822 




5.136 6763 







69 


5 237 5 238 




10 


1421 


476 


5624 


92 


7325 


503 


.135 2490 


13 273 


50 




285 285 6 




20 
30 


1897 
2373 


476 
476 


5531 
5438 


93 
93 


7828 
8332 


503 
504 


.133 9223 
.132 5964 


13 267 
13259 


40 
30 




7 332 5 333 2 
8 380 380 8 
9 427 5 428 4 




40 


2849 


476 


5346 


92 


8835 


503 


.131 2710 


13 254 


20 








50 


3325 


476 


5253 


93 


9338 


503 


.1299464 


13 246 


10 












476 




93 




503 




13 240 








2 





0.191 3801 




0.981 5160 




0.194 9841 




5 128 6224 







58 


Cosine 




10 
20 
30 


4276 
4752 
5228 


475 
476 
476 


5067 
4974 
4882 


93 
93 
92 


0.195 0345 
0848 
1351 


504 
503 
503 


.1272990 
.125 9763 
.124 6543 


13 234 
13227 
13220 


50 
40 
30 




92 93 94 

1 92 93 94 

2 18 4 18 6 18 8 




40 


5704 


476 


4789 


93 


1854 


503 


.123 3329 


13 214 


20 




3 27 27 9 28 2 




50 


6180 


476 


4696 


93 


2358 


504 


.122 0122 


13 207 


10 




4 36 8 37 2 37 6 








476 




93 




503 




13 201 






5 40 40 5 47 


3 



10 


191 6666 
7131 


475 


0.981 4603 
4510 


93 


195 2861 
3364 


503 


5 120 6921 
.1193727 


13194 



50 


67 


6 55 2 55 8 50 4 
7 04 4 tio 1 05 8 
8 73 6 74 4 75 2 




20 


7607 


476 


4417 


93 


3868 


504 


.1180540 


13 187 


40 




9 82 8 83 7 84 6 




30 


8083 


476 


4324 


93 


4371 


503 


.1167359 


13 181 


30 








40 


8559 


476 


4231 


93 


4874 


503 


.1154184 


13 175 


20 








50 


9035 


476 
475 


4138 


93 
93 


5378 


504 
503 


.114 1017 


13 167 
13162 


10 




Tangent 


4 





0.191 9610 




981 4045 




0.196 5881 




5 112 7865 







66 


503 504 




10 


9986 


476 


3952 


93 


6384 


503 


.111 4700 


13 155 


50 




1 5( 3 50 4 




20 


0.192 0462 


476 


3859 


93 


6888 


504 


.110 1552 


13 148 


40 




2 100 100 8 




30 
40 
50 


0938 
1414 
1889 


476 
476 
475 


3766 
3673 
3579 


93 
93 
94 


7391 
7895 
8398 


503 
504 
503 


108 8410 
.107 5275 
.1062146 


13 142 
13135 
13129 


30 
20 
10 




3 150 9 151 2 
4 201 2 201 6 
5 251 5 252 
301 8 302 4 








476 




93 




503 




13 122 






7 352 I 352 8 


6 



10 


192 2365 
2841 


476 


0.981 3486 
3393 


93 


195 8901 
9405 


504 


5.104 9024 
.103 5908 


13116 



50 


65 


8 402 4 403 2 
9 452 7 453 6 




20 


3317 


476 


3300 


93 


9908 


503 


102 2799 


13 109 


40 








30 


3792 


475 


3207 


93 


0.1960412 


504 


.100 9696 


13 103 


30 








40 
50 


4268 
4744 


476 
476 


3113 
3020 


94 
93 


0915 
1419 


503 
504 


099 6599 
.098 3509 


13 097 
13090 


20 
10 




Cotangent 








476 




93 




503 




13 083 






13 300 13 200 


6 



10 
20 
30 
40 


0.192 6220 
5695 
6171 
6647 
7123 


475 
476 
476 
476 


0.981 2927 
2833 
2740 
2647 
2553 


94 
93 
93 
94 


0.196 1922 
2425 
2929 
3432 
3936 


503 
504 
503 
504 


5 097 0426 
095 7349 
094 4278 
093 1214 
.091 8157 


13077 
13071 
13064 
13057 



50 
40 
30 
20 


54 


1 1 330 1 320 
2 2 060 2 640 
3 3 990 3 960 
4 5 320 5 280 
5 6 050 6 000 
7 980 7 920 




50 


7598 


475 
476 


2460 


93 
94 


4439 


503 
504 


090 5106 


13 051 
13045 


10 




7 9310 9 240 
8 10 040 10 500 


























9 1 1 970 11 880 


7 





0.192 8074 




0.981 2366 




0.196 4943 




6 089 2061 







63 






10 
20 
30 


8550 
9025 
9501 


476 
475 
476 


2273 
2179 
2086 


93 
94 
93 


5447 
5950 
6454 


504 
503 
504 


.087 9023 
.086 5991 
.085 2965 


13038 
13032 
13026 


50 
40 
30 




13 100 13 000 

1 1 310 1 300 
2 2 020 2 600 




40 
50 


9977 
193 0453 


476 
476 
475 


1992 
1899 


94 
93 
94 


6957 
7461 


503 
504 
503 


.083 9946 
.082 6934 


13 019 
13012 
13006 


20 
10 




3 3 930 3 900 
4 5 240 5 200 
5 6 550 6 500 


8 



10 


0.193 0928 
1404 


476 


0.981 1806 
1711 


94 


196 7964 
8468 


504 


6.081 3928 
.080 0928 


13000 



50 


52 


7 860 7 800 
7 9 170 9 100 
8 10 480 10 400 




20 


1880 


476 


1618 


93 


8972 


504 


.078 7935 


12 993 


40 




9 11 790 11 700 




30 
40 
50 


2355 
2831 
3307 


475 
476 
476 
475 


1524 
1430 
1337 


94 
94 
93 
94 


9475 
9979 
197 0482 


503 
504 
503 
504 


.077 4948 
.076 1967 
.074 8993 


12 987 
12981 
12974 
12968 


30 
20 
10 




12900 

1 1 290 
2 2 580 
3 3 870 


9 





0.193 3782 




0.981 1243 




0.197 0986 




6.073 6025 







51 


4 5 160 




10 


4258 


476 


1149 


94 


1490 


504 


.072 3064 


12 961 


50 




5 6 450 




20 
30 
40 


4734 
5209 
5685 


476 
475 
476 


1055 
0961 
0868 


94 
94 
93 


1993 
2497 
3001 


503 
504 
504 


.071 0108 
.069 7160 
.068 4217 


12 956 
12948 
12943 
12 935 


40 
30 
20 




6 7 740 
7 9 030 
8 10 320 
9 11 610 




50 


6161 


476 


0774 


94 


3504 


503 


.067 1282 




10 












475 




94 




504 




12930 








10 





193 6636 




0.981 0680 




197 4008 




5.065 8362 







50 








Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


' 


' 


Proportional Parts 



78 50' 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
11 10' 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff. 






Proportional Parts 


10 





0.193 6636 




0.981 0680 




01974008 




5.065 8362 







50 






10 
20 


7112 
7587 


476 
475 


0586 
0492 


94 
94 


4512 
5016 


504 
504 


.064 5429 
.063 2512 


12923 
12917 


50 
40 




Sine 




30 


8063 


476 


0398 


94 


5519 


503 


061 9601 


12911 


30 




475 476 




40 
50 


8539 
9014 


476 
475 
476 


0304 
0210 


94 
94 
94 


6023 
6527 


504 
504 
504 


.060 6697 
.059 3799 


12 904 
12898 
12892 


20 
10 




1 47 5 47 6 
2 95 95 2 
3 142 5 142 8 
4 190 190 4 


11 



10 


0.193 9490 
9966 


476 


0.981 0116 
0022 


94 


197 7031 
7534 


503 


5.058 0907 
.056 8022 


12885 



50 


49 


5 237 5 238 

6 285 285 6 




20 
30 
40 


0.1940441 
0917 
1392 


475 
476 
475 


0.980 9928 
9834 
9740 


94 
94 
94 


8038 
8542 
9046 


504 
504 
504 


.055 5143 
.054 2271 
.052 9404 


12 879 
12872 
12867 


40 
30 
20 




7 332 5 333 2 
8 380 380 8 
9 427 5 428 4 




50 


1868 


476 


9646 


94 


9550 


504 


.051 6544 


12860 


10 












476 




94 




503 




12854 








12 



10 


194 2344 
2819 


475 


980 9552 
9457 


95 


0.198 0053 
0557 


504 


6.050 3690 
.049 0843 


12847 



50 


48 


Cosine 




20 


3295 


476 


9363 


94 


1061 


504 


047 8002 


12 841 


40 




94 95 96 




30 
40 


3770 
4246 


475 
476 


9269 
9175 


94 
94 


1565 
2069 


504 
504 


.046 5167 
045 2338 


12835 
12829 


30 
20 




1 

2 
3 


y 4 95 96 

18 8 19 19 2 

28 2 28 5 28 8 




50 


4721 


475 


9080 


95 


2573 


504 


.043 9516 


12 822 


10 




4 


37 6 38 38 4 








476 




94 




503 




12 816 






5 


47 47 5 48 


13 



10 
20 


194 5197 
5672 
6148 


475 
476 


0.980 8986 
8892 
8797 


94 
95 


0.198 3076 
3580 
4084 


504 
504 


6 042 6700 
.041 3890 
.040 1087 


12810 
12803 



50 
40 


47 


6 

7 
8 
9 


56 4 57 57 6 
65 8 66 5 67 2 
75 2 76 76 8 
84 6 85 5 86 4 




30 


6624 


476 


8703 


94 


4588 


504 


.038 8290 


12 797 


30 








40 


7099 


475 


8609 


94 


5092 


504 


.037 5499 


12 791 


20 








50 


7575 


476 
475 


8514 


95 
94 


5596 


504 
504 


.036 2714 


12 785 
12779 


10 




Tangent 


14 



10 
20 


0.194 8050 
8526 
9001 


476 
475 


0.980 8420 
8325 
8231 


S5 
94 


0.198 6100 
6604 
7108 


504 
504 


6.034 9935 
.033 7163 
.032 4397 


12 772 
12766 



50 
40 


46 


i 

2 


W3 504 505 

50 3 50 4 50 5 
100 6 100 8 101 




30 
40 


9477 
9952 


476 
475 


8136 
8042 


95 
94 


7612 
8116 


504 
504 


.031 1637 
029 8883 


12 760 
12754 


30 
20 




3 
4 


150 I 151 2 151 5 
201 2 201 6 202 




50 


195 0428 


476 
475 


7947 


95 
94 


8620 


504 
504 


.028 6136 


12 747 
12741 


10 




5 
6 


251 5 252 252 5 
101 8 302 4 303 


15 



10 


0.195 0903 
1379 


476 


0.980 7863 
7758 


95 


0.198 9124 
9628 


504 


6.027 3395 
.0260660 


12735 



50 


45 


7 
8 
9 


352 1 352 8 353 5 
102 4 403 2 404 
452 7 453 6 454 5 




20 


1854 


475 


7664 


94 


0.199 0132 


504 


.024 7931 


12 729 


40 








30 


2330 


476 


7569 


95 


0636 


504 


.023 5209 


12 722 


30 








40 
50 


2805 
3281 


475 
476 


7474 
7380 


95 
94 


1140 
1644 


504 
504 


.022 2492 
.020 9782 


12 717 
12710 


20 
10 




Cotangent 








475 




95 




504 




12 704 






12 900 12 800 


16 





0.196 3766 




0.980 7285 




0.199 2148 




6.019 7078 







44 


i 


1 290 1 280 




10 


4232 


476 


7190 


95 


2652 


504 


.018 4380 


12 698 


50 




2 


2 580 2 560 




20 
30 
40 
50 


4707 
5183 
5658 
6133 


475 
476 
475 
475 


7095 
7001 
6906 
6811 


95 
94 
95 
95 


3156 
3660 
4164 
4668 


504 
504 
504 
504 


.017 1689 
015 9003 
.01^ 6324 
013 3651 


12691 
12686 
12679 
12673 


40 
30 
20 
10 




3 
4 

5 
6 

7 


3 870 3 840 
5 160 5 120 
6 450 6 400 
7 740 7 680 
9 030 8 960 








476 




95 




504 




12 667 






8 


10 320 10 210 


17 





0.195 6609 




980 6716 




0.199 5172 




5 012 0984 







43 


9 


11 610 11 520 




10 
20 
30 
40 


7084 
7560 
8035 
8511 


475 
476 
475 
476 


6621 
6526 
6431 
6337 


95 
95 
95 
94 


5676 
6181 
6685 
7189 


504 
505 
504 
504 


.010 8323 
.009 5668 
.008 3020 
.007 0378 


12 661 
12655 
12648 
12642 


50 
40 
30 
20 




1 

2 
3 


12 700 12 600 

1 270 1 260 
2 540 2 520 
3 810 3 780 




50 


8986 


475 


6242 


95 


7693 


504 


.005 7741 


12 637 


10 




4 


5 080 5 040 








475 




95 




504 




12630 






5 


6 350 6 300 


18 



10 
20 


0.195 9461 
9937 
0.1960412 


476 
475 


0.980 6147 
6052 
5957 


95 
95 


0.199 8197 
8701 
9206 


504 
505 


5.004 5111 
.003 2487 
.001 9869 


12624 
12618 



50 
40 


42 


6 
7 
8 
9 


7 620 7 560 
8 890 8 820 
10 160 10 080 
11 430 11 340 




30 


0888 


476 


5861 


96 


9710 


504 


.000 7258 


12 611 


30 








40 


1363 


475 


5766 


95 


0.200 0214 


504 


4.999 4652 


12 606 


20 




12500 




50 


1838 


475 
476 


5671 


95 
95 


0718 


504 
504 


.998 2053 


12 599 
12594 


10 




1 1 250 
2 2 500 


19 



10 
20 


0.196 2314 
2789 
3265 


475 
476 


0.980 5676 
5481 
5386 


95 
95 


0.200 1222 
1727 
2231 


505 
504 


4.996 9459 
995 6872 
.994 4291 


12587 
12581 



50 
40 


41 


3 3 750 
4 5 000 
5 250 
6 7 500 




30 
40 
50 


3740 
4215 
4691 


475 
475 
476 


5291 
5195 
5100 


95 
95 


2735 
3239 
3744 


504 
504 
505 


.993 1716 
991 9146 
.990 6584 


12575 
12570 
12562 


30 
20 
10 




7 8 750 
8 10 000 
9 11 250 








475 




95 




504 




12 557 








20 





0.196 5166 




0.980 6005 




0.2004248 




4.989 4027 







40 








Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff. 


" 


' 


Proportional Parts 



78 40' 



SINES, COSINES, TANGENTS AND COTANGENTS 
11 20' 



69 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff. 






Proportional Parts 


20 





0.196 5166 




0.9805005 




0.2004248 




4.989 4027 







40 






10 
20 
30 


5641 
6117 
6592 


475 
476 
475 


4910 
4814 
4719 


95 
96 
95 


4752 
5257 
5761 


504 
505 
504 


.988 1476 
.986 8931 
.985 6392 


12 551 
12545 
12539 


50 
40 
30 




Sine 

475 476 




40 
50 


7067 
7543 


475 
476 
475 


4624 
4528 


95 
95 


6265 
6770 


504 
505 
504 


.984 3860 
.983 1333 


12532 
12527 
12520 


20 
10 




1 47 5 47 6 
2 95 95 2 
3 142 5 142 8 
4 190 190 4 


21 



10 


0.196 8018 
8494 


476 


0.980 4433 
4337 


96 


0.200 7274 
7778 


504 


4.981 8813 
.980 6298 


12515 



50 


39 


5 237 5 238 
6 285 285 6 




20 
30 


8969 
9444 


475 
475 


4242 
4147 


95 
95 


8283 
8787 


505 
504 


.979 3790 
.978 1288 


12 508 
12502 


40 
30 




7 332 5 333 2 
8 380 380 8 
9 427 5 428 4 




40 


9919 


475 


4051 


96 


9291 


504 


.976 8791 


12 497 


20 








50 


0.197 0395 


476 


3956 


95 


9796 


505 


.975 6301 


12490 


10 












475 




% 




504 




12 484 








22 



10 
20 
30 
40 


0.197 0870 
1345 
1821 
2296 
2771 


475 
476 
475 
475 


0.980 3860 
3764 
3669 
3573 
3478 


96 
95 
96 
95 


0.201 0300 
0805 
1309 
1813 
2318 


505 
504 
504 
505 


4.974 3817 
.973 1339 
.971 8866 
.970 6400 
.969 3940 


12478 
12473 
12466 
12460 



50 
40 
30 
20 


38 


Cosine 

95 % 97 

1 5 96 97 
2 19 19 2 19 4 

3 28 5 28 8 29 1 




50 


3247 


476 


3382 


96 


2822 


504 


.968 1485 


12 455 


10 




4 38 38 4 38 8 








475 




% 




505 




12 448 






5 47 5 48 48 5 


23 



10 
20 


0.197 3722 
4197 
4672 


475 
475 


980 3286 
3191 
3095 


95 
96 


0.201 3327 
3831 
4336 


504 
505 


4 966 9037 
.965 6595 
.964 4159 


12442 
12436 



50 
40 


37 


6 57 57 6 58 2 
7 6 5 5 67 2 67 9 
8 76 76 8 77 6 
9 85 5 86 4 87 3 




30 


5148 


476 


2999 


96 


4840 


504 


963 1729 


12 430 


30 








40 


5623 


475 


2903 


96 


5345 


505 


.961 9304 


12 425 


20 








50 


6098 


475 
475 


2808 


95 


5849 


504 
505 


.960 6886 


12 418 
12412 


10 




Tangent 


24 



10 
20 


0.197 6573 
7049 
7524 


476 
475 


0.980 2712 
2616 
2520 


% 


0.201 6354 
6858 
7363 


504 
505 


4.959 4474 
.958 2067 
.956 9667 


12407 
12400 



50 
40 


36 


504 505 

1 50 1 50 5 
2 100 8 101 




30 


7999 


475 


2424 


96 


7867 


504 


.955 7272 


12 395 


30 




3 51 2 151 5 




40 


8474 


475 


2328 


96 


8372 


505 


.954 4884 


12 388 


20 




4 201 6 202 




50 


8950 


476 
475 


2232 


96 


8876 


504 
505 


.953 2501 


12 383 
12376 


10 




5 252 252 5 
6 302 4 303 


25 





0.197 9425 




0.980 2136 




0.201 9381 


cnc 


4.952 0125 


12 371 





35 


7 3 r >2 8 353 5 
8 103 2 404 




10 


9900 


475 


2040 


96 


9886 


DUO 


.950 7754 




50 




9 453 6 454 5 




20 
30 


198 0375 
0850 


475 
475 


1944 
1848 


96 
96 


202 0390 
0895 


504 

505 


.949 5389 
.948 3031 


12 365 
12358 


40 
30 








40 
50 


1326 
1801 


476 
475 
475 


1752 
1656 


96 


1399 
1904 


504 
505 
505 


.947 0678 
.945 8331 


12 353 
12347 
12341 


20 
10 




Cotangent 

12 600 12 500 


26 



10 


0.198 2276 
2751 


475 


0.980 1560 
1464 


% 


0.202 2409 
2913 


504 


4.944 5990 
943 3655 


12335 



50 


34 


1 1 260 1 250 
'2 2 520 2 500 
3 . 780 3 750 




20 


3226 


175 


1368 


96 


3418 


505 


.942 1326 


12 329 


40 




4 50 1() 5 000 




30 
40 
50 


3702 
4177 
4652 


476 
475 
475 


1272 
1176 
1079 


96 
97 


3923 
4427 
4932 


505 
504 
505 


.940 9002 
.939 6685 
.938 4373 


12 324 
12317 
12312 


30 
20 
10 




5 6 300 6 250 
6 7 5oO 7 500 
7 8 820 8 750 o 
8 10 080 10 000 








475 




% 




505 




12 305 






9 11 3 W 11 250 


27 



10 


0.198 5127 
5602 


475 


0.980 0983 
0887 


% 


0.202 5437 
5941 


504 


4.937 2068 
.935 9768 


12300 



50 


33 


12 400 12 300 




20 
30 


6077 
6553 


475 
476 


0791 
0694 


98 
97 


6446 
6951 


505 
505 

CAC 


.934 7474 
.933 5186 


12 294 
12288 
12 282 


40 
30 




1 1 2 K) 1 230 ( 
2 2 180 2 IW) ( 
3 3 720 3 690 ( 




40 


7028 


475 


0598 


96 


7456 


OUO 

504 


.932 2904 


12 276 


20 




4 4 960 4 920 ( 




50 


7503 


475 
475 


0502 


97 


7960 


505 


.931 0628 


12270 


10 




5 200 6 150 ( 
6 7 1 10 7 380 


28 



10 
20 
30 


198 7978 
8453 
8928 
9403 


475 
475 
475 


0.980 0405 
0309 
0212 
0116 


97 
% 


0.202 8465 
8970 
9475 
9979 


505 
505 
504 


4 929 8358 
.928 6093 
.927 3835 
.926 1582 


12265 
12258 
12253 



50 
40 
30 


32 


7 8 680 8 610 
8 9 920 9 840 
9 11 160 11 070 




40 


9879 


476 


0020 


96 


0.203 0484 


505 


.924 9335 


12 247 


20 




12200 




50 


0.1990354 


475 
475 


0.979 9923 


97 
96 


0989 


505 
505 


.923 7094 


12 241 
12235 


10 




1 1 220 
2 2 440 


29 



10 


0.199 0829 
1304 


475 


0.979 9827 
9730 


97 
97 


0.203 1494 
1999 


505 
505 


4.922 4859 
921 2630 


12229 
12 224 



50 


31 


3 3 660 
4 4 880 
5 100 




20 
30 
40 
50 


1779 
2254 
2729 
3204 


475 
475 
475 
475 


9633 
9537 
9440 
9344 


96 
97 
96 


2504 
3008 
3513 
4018 


504 
505 
505 


.920 0406 
918 8188 
.917 5977 
.916 3771 


12218 
12211 
12206 


40 
30 
20 
10 




6 7 320 
7 8 540 
8 9 760 
9 10 980 








475 




97 




505 




12 201 








30 





0.199 3679 




0.979 9247 




0.203 4523 




4.915 1570 







30 








Cosine 


Diff 


Smo 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



78 30' 



70 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
11 30' 



' 


" 


Sine 


Diff 


Cosine 


Diff. 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 


30 





0.199 3679 




0.979 9247 




0.203 4523 




4.915 1570 







30 






10 


4154 


475 


9150 


97 


5028 


505 


.913 9376 


12 194 


50 








20 


4629 


475 


9054 


96 


5533 


505 


.912 7187 


12 189 


40 




Sine 




30 


5105 


476 


8957 


97 


6038 


505 


911 5005 


12 182 


30 




474 475 476 




40 


5580 


475 


8860 


97 


6543 


505 


.910 2828 


12 177 


20 




1 


47 4 47 5 47 6 




50 


6055 


475 


8763 


97 


7048 


505 


.909 0656 


12 172 


10 






94 8 95 95 2 








475 




96 




504 




12 165 






3 


142 2 142 5 142 8 


31 



10 
20 
30 


0.199 6530 
7005 
7480 
7955 


475 
475 
475 


0.979 8667 
8570 
8473 
8376 


97 
97 
97 


0.203 7552 
8057 
8562 
9067 


505 
505 
505 


4.907 8491 
906 6331 
.905 4177 
.904 2029 


12160 
12154 
12148 



50 
40 
30 


29 


4 

5 
6 

7 
8 


189 6 190 190 4 
237 237 5 238 
284 4 285 285 6 
Ml 8 332 5 333 2 
$79 2 380 380 8 




40 


8430 


475 


8279 


97 


9572 


505 


902 9887 


12 142 


20 




9 


m 6 427 5 428 4 




50 


8905 


475 


8182 


97 


204 0077 


505 


.901 7751 


12 136 


10 












475 




96 




505 




12 131 








32 



10 


0.199 9380 
9855 


475 


0.979 8086 
7989 


97 


0.204 0582 
1087 


505 


4 900 5620 
.899 3495 


12125 



50 


28 


Cosine 




20 
30 


200 0330 
0805 


475 
475 


7892 
7795 


97 
97 


1592 
2097 


505 
505 


898 1376 
.896 9262 


12 119 
12114 


40 
30 




i 


96 97 98 

96 97 98 




40 
50 


1280 

1755 


475 
475 
475 


7698 
7601 


97 
97 
97 


2602 
3107 


505 
505 
505 


.895 7154 
894 5053 


12 108 
12101 
12097 


20 
10 




4 


19 2 19 4 19 6 
28 8 29 1 29 4 
38 4 38 8 39 2 


33 



10 


200 2230 
2705 


475 


0.979 7504 
7406 


98 


204 3612 
4118 


506 


4.893 2956 
.892 0866 


12090 



50 


27 


5 



48 48 5 49 
">7 6 58 2 58 8 
67 2 67 9 68 6 




20 
30 
40 


3180 
3655 
4130 


475 
475 
475 


7309 
7212 
7115 


97 
97 
97 


4623 
5128 
5633 


505 
505 
505 


.890 8781 
889 6702 
.888 4629 


12085 
12079 
12073 


40 
30 
20 




h 
9 


76 S 77 6 78 4 
86 4 87 3 88 2 




50 


4605 


475 


7018 


97 


6138 


505 


887 2561 


12 068 


10 












475 




97 




505 




12 062 








34 



10 
20 
30 
40 


0.2005080 
5555 
6030 
6505 
6980 


475 
475 
475 
475 


0.979 6921 
6823 
6726 
6629 
6532 


98 
97 
97 
97 


0.204 6643 
7148 
7653 
8158 
8664 


505 
505 
505 
506 


4.886 0499 
8848443 
883 6393 
882 4348 
881 2309 


12056 
12050 
12045 
12039 



50 
40 
30 
20 


26 


1 
1 


Tangent 

>04 505 506 

50 4 50 5 50 6 
100 8 101 101 2 
151 2 151 5 151 H 
201 6 202 202 4 




50 


7455 


475 
475 


6434 


98 
97 


9169 


505 
505 


880 0276 


12 033 
12028 


10 







252 252 5 253 
J02 4 303 303 6 


35 



10 
20 


0.200 7930 
8405 
8880 


475 
475 


0.979 6337 
6240 
6142 


97 
98 


0.204 9674 
205 0179 
0684 


505 
505 


4 878 8248 
877 6226 
876 4210 


12022 
12016 



50 
40 


25 


7 

s 

9 


52 8 353 5 354 2 
103 2 404 404 8 
453 6 454 5 455 4 




30 


9354 


474 


6045 


97 


1190 


506 


875 2199 


12 Oil 


30 








40 


9829 


475 


5947 


98 


1695 


505 


874 0194 


12 005 


20 








50 


201 0304 


475 
475 


5850 


97 
98 


2200 


505 
505 


872 8195 


11 999 
11994 


10 




Cotangent 


36 



10 
20 


0.201 0779 
1254 
1729 


475 
475 


0.979 5752 
5655 
5557 


97 
98 


0.205 2705 
3210 
3716 


505 
506 


4.871 6201 
870 4213 
.869 2231 


11988 
11982 



50 
40 


24 


^ 


12 200 12 100 

1 220 1 210 

2 4 10 2 420 
3 000 3 630 




30 


2204 


475 


5460 


97 


4221 


505 


.868 0255 


11 976 


30 




4 


4 880 4 840 




40 
50 


2679 
3154 


475 
475 
475 


5362 
5265 


98 
97 
98 


4726 
5232 


505 
506 
505 


866 8284 
.865 6318 


11 971 
11966 
11959 


20 
10 







G 100 6 050 
7 320 7 200 
8 540 8 470 


























g 


9 760 9 080 


37 



10 


0.201 3629 
4103 


474 


0.979 5167 
5070 


97 


0.206 5737 
6242 


505 


4.864 4359 
.863 2405 


11954 



50 


23 


9 


10 980 10 890 




20 


4578 


475 


4972 


98 


6747 


505 


.862 0456 


11 949 


40 




12 000 11 900 




30 
40 
50 


5053 
5528 
6003 


475 
475 
475 
475 


4874 
4776 
4679 


98 
98 
97 
98 


7253 

7758 
8263 


506 
505 
505 
506 


860 8514 
.859 6576 
.858 4645 


11 942 
11938 
11931 
11926 


30 
20 
10 




1 

4 


1 200 1 190 
2 400 2 3HO 
.5 000 3 570 
4 800 4 760 




























6 000 5 950 


38 



10 


0.201 6478 
6953 


475 


0.979 4581 
4483 


98 


0.205 8769 
9274 


505 


4.857 2719 
.856 0799 


11920 



50 


22 


5 


7 200 7 140 
8 400 8 330 




20 
30 
40 
50 


7428 
7902 
8377 
8852 


475 
474 
475 
475 
475 


4385 
4288 
4190 
4092 


98 
97 
98 
98 
98 


9780 
0.206 0285 
0790 
1296 


506 
505 
505 
506 
505 


.854 8884 
.853 6975 
.852 5072 
.851 3174 


11 915 
11909 
11903 
11898 
11892 


40 
30 
20 
10 




8 
9 


9 GOO 9 520 
10 800 10 710 

11800 

1 1 180 
2 2 360 


39 





0.201 9327 




0.979 3994 




206 1801 




4.850 1282 







21 


3 3 540 6 




10 


9802 


475 


3896 


98 


2307 


506 


.848 9395 


11887 


50 




4 4 720 




20 
30 
40 


202 0276 
0751 
1226 


474 
475 
475 


3798 
3700 
3602 


98 
98 
98 


2812 
3318 
3823 


505 
506 
505 


847 7514 
.8465638 
845 3769 


11 881 
11876 
11869 


40 
30 
20 




5 5 900 
G 7 080 
7 8 260 
8 9 440 




50 


1701 


475 


3504 


98 


4328 


505 


8441904 


11865 


10 




9 106200 








475 




98 




506 




11859 








40 





0.202 2176 




09793406 




0.2064834 




4.8430045 







20 








Cosine 


D!ff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



78 20' 



SINES, COSINES, TANGENTS AND COTANGENTS 
11 40' 



71 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff. 






Proportional Parts 


40 





0.202 2176 




0.979 3406 




02064834 




48430045 







20 






10 


2651 


475 


3308 


98 


5339 


505 


.841 8192 


11853 


50 








20 


3125 


474 


3210 


98 


5845 


506 


.840 6345 


11847 


40 




Sine 




30 


3600 


475 


3112 


98 


6350 


505 


.839 4503 


11842 


30 




474 475 




40 


4075 


475 


3014 


98 


6856 


506 


.838 2666 


11837 


20 




1 47 4 47 5 




50 


4550 


475 


2916 


98 


7361 


505 


837 0835 


11831 


10 




2 91 8 95 








474 




98 




506 




11825 






3 112 2 112 5 


41 





0.202 6024 




0.979 2818 




0.206 7867 




4.835 9010 







19 


4 189 190 




10 
20 


5499 
5974 


475 
475 


2719 
2621 


99 
98 


8373 
8878 


506 
505 


834 7190 
.833 5376 


11820 
11814 


50 
40 




5 2.57 237 5 
b 284 4 285 
7 3^1 8 332 .3 




30 


6449 


475 


2523 


98 


9384 


506 


832 3567 


11809 


30 




8 379 2 380 




40 


6923 


474 


2425 


98 


9889 


505 


831 1763 


11804 


20 




9 420 427 5 




50 


7398 


475 


2326 


99 


207 0395 


506 


.829 9966 


11797 


10 












475 




98 




505 




11792 








42 



10 


0.202 7873 
8348 


475 


0.979 2228 
2130 


98 


0.207 0900 
1406 


506 


4 828 8174 
827 6387 


11787 



50 


18 


Cosine 




20 


8822 


474 


2031 


99 


1912 


506 


.826 4606 


11781 


40 




98 99 100 




30 


9297 


475 


1933 


98 


2417 


505 


825 2830 


11776 


30 




1 9 8 f 9 10 




40 


9772 


475 


1835 


98 


2923 


506 


.824 1060 


11770 


20 




2 1 ( ) 1! 8 20 




50 


203 0247 


475 
474 


1736 


99 
98 


3429 


506 
505 


.822 9295 


11765 
11759 


10 




. 29 1 21 7 30 
4 39 2 39 10 


43 



10 


203 0721 
1196 


475 


0.979 1638 
1539 


99 


0.207 3934 
4440 


506 


4.821 7636 
820 5782 


11754 



50 


17 


5 49 4! 5 50 
58 8 5< 4 00 
7 08 (> ( 3 70 




20 


1671 


475 


1441 


98 


4946 


506 


819 4034 


11 748 


40 




8 78 4 79 2 80 




30 


2145 


474 


1342 


99 


5451 


505 


.818 2292 


11742 


30 




9 88 2 89 1 90 




40 


2620 


475 


1244 


98 


5957 


506 


.817 0554 


11 738 


20 








50 


3095 


475 


1145 


99 


6463 


506 


815 8823 


11 731 


10 












474 




98 




505 




11 727 








44 





0.203 3569 




0.979 1047 




0.207 6968 




4 814 7096 







16 


Tangent 




10 


4044 


475 


0948 


99 


7474 


506 


.813 5376 


11 720 


50 




505 506 




20 


4519 


475 


0849 


99 


7980 


506 


812 3660 


11 716 


40 




1 50 5 50 




30 


4994 


475 


0751 


98 


8486 


506 


.811 1951 


11 709 


30 




2 101 I) 101 ^ 




40 


5468 


474 


0652 


99 


8991 


505 


.810 0246 


11 705 


20 




1 202 202 4 




50 


5943 


475 


0553 


99 


9497 


506 


.808 8547 


11699 


10 




"> 252 5 253 








475 




98 




506 




11693 






t 303 30 { 


45 



10 
20 


0.203 6418 
6892 
7367 


474 
475 


0.979 0456 
0356 
0257 


99 
99 


0.208 0003 
0509 
1015 


506 
506 


4 807 6854 
806 5166 
805 3483 


11688 
11683 



50 
40 


15 


7 353 5 351 2 
8 404 404 8 
( i 454 5 455 4 




30 


7841 


474 . 


0158 


99 


1520 


505 


.804 1806 


11 677 


30 








40 


8316 


475 


0060 


98 


2026 


506 


.803 0135 


11671 


20 








50 


8791 


475 
474 


0.978 9961 


99 
99 


2532 


506 
506 


.801 8468 


11 667 
11660 


10 




Cotangent 


46 





0.203 9265 




0.978 9862 




0.208 3038 




4.800 6808 







14 


11 900 11 800 




10 
20 


9740 
204 0215 


475 

475 


9763 
9664 


99 
99 


3544 
4050 


506 
506 


.799 5152 
.798 3502 


11 656 
11650 


50 
40 




i i no o i i8o o 

2 2 JKO 2 U)(l 
.i . ><(' 3 510 




30 


0689 


474 


9565 


99 


4556 


506 


.797 1858 


11 644 


30 




1 1 7 00 1 720 




40 


1164 


475 


9466 


99 


5061 


505 


.796 0219 


11 639 


20 




"> r > M">0 5 900 




50 


1638 


474 
475 


9367 


99 
99 


5567 


506 
506 


.794 8585 


11 634 
11628 


10 




(> 7 1 10 7 080 
7 8 i !() 1) 8 200 


47 



10 


204 2113 
2588 


475 


0.978 9268 
9169 


99 


0.208 6073 
6579 


506 


4.793 6957 
792 5334 


11623 



50 


13 


8 9520 9 110 ) 
9 J10710 10 020 ) 




20 


3062 


474 


9070 


99 


7085 


506 


.791 3716 


11 618 


40 




11 700 11 600 




30 


3537 


475 


8971 


99 


7591 


506 


.790 2104 


11 612 


30 




1 1 170 1 100 ) 




40 
50 


4011 
4486 


474 
475 
475 


8872 
8773 


99 
99 
99 


8097 
8603 


506 
506 
506 


.789 0497 
.787 8896 


11607 
11601 
11596 


20 
10 




2 2 .HO '2 320 ) 
3 .{ 510 .{ 480 ) 
4 1 080 4 010 ) 


48 



10 


0.204 4961 

5435 


474 


0.978 8674 
8575 


99 


208 9109 
9615 


506 


4.786 7300 
.785 5710 


11590 



50 


12 


5 r > 850 5 800 ) 
() 7 020 900 ) 
7 8 190 8 120 I 




20 
30 


5910 
6384 


475 
474 


8476 
8376 


99 
100 


0.209 0121 
0627 


506 
506 


.784 4124 
.783 2545 


11 586 
11579 


40 
30 




8 M ,'M) 9 280 ) 
9 10 5.50 10 440 




40 
50 


6859 
7333 


475 
474 
475 


8277 
8178 


99 
99 
99 


1133 
1639 


506 
506 
506 


.782 0970 
.780 9401 


11 575 
11569 
11564 


20 
10 




11500 

1 1 150 
2 2 300 


49 





0.204 7808 




0.978 8079 




0.209 2145 




4.779 7837 







11 


{ 3 450 




10 


8282 


474 


7979 


100 


2651 


506 


.778 6279 


11 558 


50 




4 4 000 




20 
30 
40 


8757 
9231 
9706 


475 
474 
475 


7880 
7781 
7681 


99 
99 
100 


3157 
3663 
4169 


506 
506 
506 


.777 4726 
.7763178 
.775 1636 


11 553 
11548 
11542 


40 
30 
20 




r > 5 750 
ft WO 
7 8 050 
8 9 200 




50 


205 0180 


474 
475 


7582 


99 
99 


4675 


506 
506 


.774 0099 


11 537 
11531 


10 




9 10 350 


60 





0.205 0655 




0.978 7483 




0.209 6181 




4.772 8668 







10 








Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff. 


'< 


' 


Proportional Parts 



78 10' 



72 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
11 50' 



' 


" 


Sine 


DifT 


Cosine 


DifT 


Tangent 


DifT 


Cotangent 


Diff. 






Proportional Parts 


60 



10 
20 


0.205 0655 
1129 
1604 


474 
475 


0.978 7483 
7383 
7284 


100 
99 


0.209 5181 
5687 
6193 


506 
506 


4.772 8568 
.771 7041 
.770 5520 


11527 
11521 



50 
40 


10 


Sine 




30 


2079 


475 


7184 


100 


6700 


507 


.769 4005 


11 515 


30 




474 475 




40 
50 


2553 
3027 


474 
474 
475 


7085 
6985 


99 
100 
99 


7206 
7712 


506 
506 
506 


.768 2494 
.767 0989 


11 511 
11505 
11499 


20 
10 




1 47 4 47 5 
2 94 8 95 
3 112 2 142 5 
4 189 6 190 


51 



10 


0.205 3502 
3976 


474 


0.978 6886 
6786 


100 


0.209 8218 
8724 


506 


4 765 9490 
.764 7995 


11495 



50 


9 


5 237 237 5 
6 284 4 285 




20 
30 
40 


4451 
4925 
5400 


475 

474 
475 


6686 
6587 
6487 


100 
99 
100 


9230 
9737 
210 0243 


506 
507 
506 


763 6506 
.762 5023 
.761 3544 


11489 
11483 
11479 


40 
30 
20 




7 331 8 332 5 
8 379 2 380 
9 426 6 427 5 




50 


5874 


474 


6388 


99 


0749 


506 


.760 2071 


11 473 


10 












475 




100 




506 




11 468 








52 



10 
20 
30 
40 


0.205 6349 
6823 
7298 
7772 
8247 


474 
475 
474 
475 


0.978 6288 
6188 
6088 
5989 
5889 


100 
100 
99 
100 


0.210 1255 
1761 
2268 
2774 
3280 


506 
507 
506 
506 


4 759 0603 
.757 9141 
.756 7683 
.755 6231 
.754 4785 


11462 
11458 
11452 
11446 



50 
40 
30 
20 


8 


Cosine 

99 100 101 

1 9 9 10 10 1 

2 19 8 20 20 2 
3 29 7 30 30 3 




50 


8721 


474 


5789 


100 


3786 


506 


.753 3343 


11 442 


10 




4 39 40 40 4 








474 




100 




507 




11 436 






5 49 5 50 50 5 


53 



10 
20 


205 9195 
9670 
206 0144 


475 
474 


0.978 6689 
5589 
5490 


100 
99 


210 4293 
4799 
5305 


506 
506 


4 762 1907 
751 0476 
749 9051 


11431 
11425 



50 
40 


7 


59 4 GO 60 6 
7 00 3 70 70 7 
8 79 2 80 80 8 
9 89 1 90 90 9 




30 


0619 


475 


5390 


100 


5812 


507 


.748 7630 


11 421 


30 








40 


1093 


474 


5290 


100 


6318 


506 


.747 6215 


11 415 


20 








50 


1567 


474 
475 


5190 


100 
100 


6824 


506 
507 


.746 4805 


11 410 
11404 


10 




Tangent 


54 



10 
20 


0.206 2042 
2516 
2991 


474 
475 


978 6090 
4990 
4890 


100 
100 


0.210 7331 
7837 
8343 


506 
506 


4 745 3401 
.744 2001 
.743 0607 


11400 
11394 



50 
40 


6 


506 507 

1 50 6 50 7 
2 101 '2 101 4 




30 


3465 


474 


4790 


100 


8850 


507 


.741 9218 


11389 


30 




3 151 8 152 1 




40 


3939 


474 


4690 


100 


9356 


506 


.740 7835 


11383 


20 




4 202 4 202 8 




50 


4414 


475 
474 


4590 


100 
100 


9862 


506 
507 


739 6456 


11379 
11373 


10 




5 253 253 5 
6 303 304 2 


























7 354 2 351 9 


55 





206 4888 




978 4490 




0.211 0369 




4 738 5083 







6 


8 104 8 405 6 




10 


5362 


474 


4389 


101 


0875 


506 


.737 3715 


11 368 


50 




9 455 4 456 3 




20 


5837 


475 


4289 


100 


1382 


507 


736 2353 


11 362 


40 








30 


6311 


474 


4189 


100 


1888 


506 


.735 0995 


11358 


30 








40 
50 


6786 
7260 


475 
474 


4089 
3989 


100 
100 


2394 
2901 


506 
507 


.733 9643 
732 8296 


11 352 
11347 


20 
10 




Cotangent 








474 




100 




506 




11 342 






11 600 11 500 


66 





206 7734 




0.978 3889 




211 3407 




4.731 6954 







4> 


1 1 100 1 150 




10 
20 
30 
40 
50 


8209 
8683 
9157 
9632 
0.207 0106 


475 
474 
474 
475 
474 
474 


3788 
3688 
3588 
3487 
3387 


101 
100 
100 
101 
100 
100 


3914 
4420 
4927 
5433 
5940 


507 
506 
507 
506 
507 
506 


.730 5617 
.729 4286 
.728 2959 
.727 1638 
.726 0322 


11 337 
11331 
11327 
11321 
11316 
11310 


50 
40 
30 
20 
10 




2 2 320 2 300 
3 3 480 3 450 
4 4 640 4 600 
5 5 800 5 750 
b 900 6 900 
7 8 120 8 050 
H 9 J80 9 200 


67 





207 0580 




978 3287 




0.211 6446 




4 724 9012 







3 


9 10 410 10350 




10 
20 
30 
40 


1054 
1529 
2003 
2477 


474 
475 
474 
474 


3186 
3086 
2985 
2885 


101 
100 
101 
100 


6953 
7460 
7966 
8473 


507 
507 
506 
507 


.723 7706 
.722 6406 
721 5111 
.720 3821 


11 306 
11300 
11295 
11290 


50 
40 
30 
20 




11 400 11 300 

1 I 140 1 130 
2 2 280 2 200 
3 3 420 3 390 




50 


2952 


475 


2784 


101 


8979 


506 


.719 2536 


11 285 


10 




4 4 500 4 520 








474 




100 




507 




11280 






5 5 700 5 650 


58 



10 
20 


207 3426 
3900 
4374 


474 
474 


0.978 2684 
2583 
2483 


101 
100 


0.211 9486 
9992 
212 0499 


506 
507 


4.718 1256 
716 9981 
.715 8712 


11275 
11269 



50 
40 


2 


6 6 810 6 780 
7 7 <)80 7 910 
8 <) 120 9 040 
9 10 260 10 170 




30 


4849 


475 


2382 


101 


1006 


507 


.714 7448 


11 264 


30 








40 


5323 


474 


2282 


100 


1512 


506 


.713 6189 


11 259 


20 




11200 




50 


5797 


474 
475 


2181 


101 
101 


2019 


507 
506 


.712 4935 


11 254 
11249 


10 




1 1 120 
2 2 240 


59 



10 
20 


0.207 6272 
6746 
7220 


474 
474 


0.978 2080 
1980 
1879 


100 
101 


0.212 2625 
3032 
3539 


507 
507 


4.711 3686 
.710 2442 
.709 1204 


11244 
11238 



50 
40 


1 


3 3 360 
4 4 480 
5 5 600 
6 6 720 




30 
40 
50 


7694 
8168 
8643 


474 
474 
475 


1778 
1678 
1577 


101 
100 
101 


4046 
4552 
5059 


507 
506 
507 


.707 9971 
.706 8742 
.705 7519 


11 233 
11229 
11223 


30 
20 
10 




7 7840 
8 8 960 
9 10 080 








474 




101 




507 




11 218 








60 





207 9117 




0.978 1476 




0.212 5566 




4.704 6301 
















Cosine 


DifT 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


DifT 


" 


' 


Proportional PartB 



78 0' 



SINES, COSINES, TANGENTS AND COTANGENTS 

12 o' 



73 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Paits 





10 


0.207 9117 
9591 


474 


0.978 1476 
1375 


101 


212 5566 
6072 


506 


4.704 6301 
.703 5088 


11213 



50 


60 






20 


0.208 0065 


474 


1274 


101 


6579 


507 


702 3880 


11208 


40 








30 
40 
50 


0540 
1014 
1488 


475 
474 
474 


1174 
1073 
0972 


100 
101 
101 


7086 
7593 
8099 


507 
507 
506 


.701 2678 
.700 1480 
.699 0288 


11 202 
11198 
11192 


30 
20 
10 




Sine 








474 




101 




507 




11 188 






473 474 475 


1 





0.208 1962 




0.978 0871 




0.212 8606 




4.697 9100 







69 


1 


47 3 47 4 47 5 




10 
20 
30 
40 


2436 
2911 
3385 
3859 


474 
475 
474 
474 


0770 
0669 
0568 
0467 


101 
101 
101 
101 


9113 
9620 
0.213 0126 
0633 


507 
507 
506 
507 


.696 7918 
.695 6741 
.694 5569 
.693 4402 


11 182 
11177 
11172 
11167 


50 
40 
30 
20 




2 
3 
4 
5 
6 1 


94 6 94 8 95 
41 9 142 2 142 5 
H9 2 189 6 190 
1, 6 5 237 237 5 
383 8 284 4 285 




50 


4333 


474 
474 


0366 


101 
101 


1140 


507 
507 


.692 3240 


11 162 
11157 


10 




8 ! 


531 1 331 8 332 5 
J78 4 379 2 380 


2 





0.208 4807 




0.978 0265 




0.213 1647 




4.691 2083 







58 


9 <. 


125 7 426 6 427 5 




10 


5281 


474 


0164 


101 


2154 


507 


.690 0931 


11 152 


50 








20 


5755 


474 


0063 


101 


2661 


507 


.688 9784 


11 147 


40 








30 
40 
50 


6230 
6704 
7178 


475 
474 
474 
474 


977 9961 
9860 
9759 


102 
101 
101 
101 


3168 
3674 
4181 


507 
506 
507 
507 


.687 8643 
.686 7506 
.685 6375 


11 141 
11137 
11131 
11127 


30 
20 
10 




1 


Cosine 

100 101 102 

10 10 1 10 2 


3 



10 


0.208 7652 
8126 


474 


0.977 9658 
9557 


101 


0.213 4688 
5195 


507 


4.684 5248 
.683 4127 


11121 



50 


57 


2 
3 

4 


20 20 2 20 4 
30 30 3 30 6 
40 40 4 40 8 




20 


8600 


474 


9455 


102 


5702 


507 


682 3010 


11 117 


40 




5 


50 50 5 51 




30 
40 
50 


9074 
9549 
0.209 0023 


474 
475 
474 
474 


9354 
9253 
9152 


101 
101 
101 
102 


6209 
6716 
7223 


507 
507 
507 
507 


681 1899 
.680 0793 
.678 9692 


11 111 
11106 
11101 
11097 


30 
20 
10 




6 

8 
9 


60 60 6 61 2 
70 70 7 71 4 
80 80 8 81 6 
90 90 9 91 8 


4 



10 


0.209 0497 
0971 


474 


0.977 9050 
8949 


101 


0.213 7730 
8237 


507 


4.677 8595 
.676 7504 


11091 



50 


56 






20 
30 
40 
50 


1445 
1919 
2393 
2867 


474 
474 
474 
474 


8847 
8746 
8645 
8543 


102 
101 
101 
102 


8744 
9251 
9758 
0.214 0265 


507 
507 
507 
507 


.675 6418 
.674 5337 
.673 4261 
.672 3190 


11 086 
11081 
11076 
11071 


40 
30 
20 
10 




, 
1 
2 


Tangent 
m 507 508 

50 6 50 7 50 8 
101 2 101 4 101 6 








474 




101 




507 




11 066 






3 


151 8 152 1 152 4 


5 





0.209 3341 




0.977 8442 




0.214 0772 




4.671 2124 







55 


4 


202 4 202 8 203 2 




10 
20 
30 
40 


3815 
4289 
4763 
5238 


474 
474 
474 
475 


8340 
8239 
8137 
8036 


102 
101 
102 
101 


1279 
1786 
2293 
2800 


507 
507 
507 
507 


.670 1063 
.669 0007 
.667 8956 
.666 7910 


11 061 
11056 
11051 
11046 


50 
40 
30 
20 




6 
7 
8 
9 


253 253 5 254 
J03 6 304 2 304 8 
J51 2 354 9 355 6 
404 8 405 6 406 4 
455 4 456 3 457 2 




50 


5712 


474 


7934 


102 


3307 


507 


.665 6869 


11041 


10 












474 




102 




507 




11 037 








6 



10 


0.209 6186 
6660 


474 


0.977 7832 
7731 


101 


0.214 3814 
4321 


507 


4.664 5832 
.663 4801 


11031 



50 


54 


Cotangent 




20 
30 
40 
50 


7134 

7608 
8082 
8556 


474 
474 
474 
474 

474 


7629 
7527 
7426 
7324 


102 
102 
101 
102 
102 


4828 
5336 
5843 
6350 


507 
508 
507 
507 
507 


.662 3775 
.661 2754 
.660 1738 
.659 0727 


11 026 
11021 
11016 
11011 
11006 


40 
30 
20 
10 




i 

2 
3 

4 


11 200 11 100 

1 120 1 110 
2 240 2 220 
3 360 3 330 
4 480 4 440 


7 



10 
20 
30 
40 
50 


0.209 9030 
9504 
9978 
210 0452 
0926 
1400 


474 
474 
474 
474 
474 
474 


0.977 7222 
7120 
7019 
6917 
6815 
6713 


102 
101 
102 
102 
102 
102 


0.214 6857 
7364 
7871 
8379 
8886 
9393 


507 
507 
508 
507 
507 
507 


4 657 9721 
.656 8720 
.655 7723 
654 6732 
653 5746 
.652 4765 


11001 
10997 
10991 
10986 
10981 
10977 



50 
40 
30 
20 
10 


53 


5 
6 

7 
8 
9 

1 


5 600 5 550 
6 720 6 660 
7 840 7 770 
8 960 8 880 
10 080 9 990 

11 000 10 900 

1 100 1 090 


8 



10 


210 1874 
2348 


474 


977 6611 
6509 


102 


214 9900 
215 0407 


507 


4.651 3788 
650 2817 


10971 



50 


52 


2 
4 


2 200 2 180 
3 300 3 270 
4 100 4 360 




20 


2822 


474 


6407 


102 


0915 


508 


.649 1850 


10 967 


40 




5 


5 500 5 450 




30 
40 
50 


3296 
3770 
4244 


474 
474 
474 


6305 
6203 
6101 


102 
102 
102 


1422 
1929 
2436 


507 
507 
507 


648 0889 
646 9932 
.645 8980 


10961 
10957 
10952 


30 
20 
10 




6 
7 
8 
9 


6 600 6 540 
7 700 7 630 
8 800 8 720 
9 900 9 810 








474 




102 




508 




10946 








9 



10 


210 4718 
5192 


474 


0.977 5999 
5897 


102 


0.215 2944 
3451 


507 


4.6448034 
.643 7092 


10942 



50 


51 






20 


5665 


473 


5795 


102 


3958 


507 


.642 6155 


10 937 


40 








30 
40 


6139 
6613 


474 
474 


5693 
5591 


102 
102 


4466 
4973 


508 
507 


.641 5223 
.640 4296 


10 932 
10927 


30 
20 








50 


7087 


474 


5489 


102 


5480 


507 


.639 3374 


10922 


10 












474 




102 




508 




10 917 








10 





0.210 7561 




0.977 5387 




0.215 5988 




4.638 2457 







50 




t 




Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



77 50' 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
12 10' 



' 


" 


Sine 


Diff 


Cosmo 


Diff 


Tangent 


Diff 


Cotangent 


Diff. 






Proportional Parts 


10 





0.210 7661 




0.977 6387 




0.215 5988 




4.638 2457 







60 






10 


8035 


474 


5285 


102 


6495 


507 


.637 1544 


10 913 


50 








20 


8509 


474 


5182 


103 


7002 


507 


.636 0637 


10 907 


40 








30 


8983 


474 


5080 


102 


7510 


508 


.634 9734 


10 903 


30 








40 


9457 


474 


4978 


102 


8017 


507 


.633 8837 


10897 


20 








50 


9931 


474 
474 


4876 


102 
103 


8524 


507 
508 


.632 7944 


10893 
10888 


10 




Sine 


11 





0.211 0405 




0.977 4773 




0.215 9032 




4.631 7056 


in HAS 





49 


473 474 




10 
20 
30 


0879 
1352 
1826 


474 
473 
474 


4671 
4569 
4466 


102 
102 
103 


9539 
0.216 0047 
0554 


507 
508 
507 


.630 6173 
.629 5295 
628 4422 


1U oJW 
10878 
10873 


50 
40 
30 




1 

2 
3 
4 


47 3 47 4 

94 6 94 8 
141 9 142 2 

18<) 2 189 6 




40 


2300 


474 


4364 


102 


1062 


508 


627 3554 


10 868 


20 






236 5 237 




50 


2774 


474 

474 


4261 


103 
102 


1569 


507 
508 


.626 2690 


10 864 
10858 


10 




6 

7 


283 8 284 4 
331 1 331 8 


12 



10 


211 3248 
3722 


474 


0.977 4169 
4056 


103 


0.216 2077 
2584 


507 


4.625 1832 
.624 0978 


10854 



50 


48 


8 
9 


378 4 379 2 
425 7 426 6 




20 


4196 


474 


3954 


102 


3092 


508 


623 0129 


10 849 


40 








30 
40 


4670 
5143 


474 
473 


3851 
3749 


103 
102 


3599 
4107 


507 
508 


.621 9285 
.620 8446 


10 844 
10839 


30 
20 




Cosine 




50 


5617 


474 
474 


3646 


103 
102 


4614 


507 
508 


.619 7612 


10829 


10 




102 103 104 


13 



10 


0.211 6091 
6565 


474 


0.977 3544 
3441 


103 


0.216 5122 
5629 


507 


4.618 6783 
.617 5958 


10825 
10 819 




50 


47 


1 i 

2 2 
3 3 


02 10 3 10 4 
4 20 6 20 8 
6 30 9 31 2 




20 


7039 


474 


3339 


102 


6137 


508 


.616 5139 


10 815 


40 




4 4 


08 41 2 41 6 




30 
40 
50 


7513 
7986 
8460 


474 
473 
474 


3236 
3133 
3031 


103 
103 
102 


6644 
7152 
7659 


507 
508 
507 


.615 4324 
.614 3514 
.613 2708 


10810 
10806 
10 800 


30 
20 
10 




5 5 
6 fc 

7 7 
8 8 


1 51 5 52 
1 2 61 8 62 4 
14 72 1 72 8 
16 82 4 83 2 








474 




103 




508 










9 { 


18 92 7 93 6 


14 





0.211 8934 




0.977 2928 




0.216 8167 




4.612 1908 


10 795 





46 






10 


9408 


474 


2825 


103 


8675 


508 


.611 1113 




50 








20 
30 


9882 
0.212 0355 


474 
473 


2722 
2620 


103 
102 


9182 
9690 


507 
508 


.610 0322 
.608 9536 


10 791 
10786 
10 781 


40 
30 




Tangent 




40 


0829 


474 


2517 


103 


0.217 0198 


508 


.607 8755 


10 776 


20 




507 508 




50 


1303 


474 
474 


2414 


103 
103 


0705 


507 
508 


.606 7979 


10772 


10 




2 


50 7 50 8 
101 4 101 6 


15 



10 


0.212 1777 
2250 


473 


0.977 2311 
2208 


103 


0.217 1213 
1721 


508 


4.606 7207 
.6046441 


10766 
10 762 



50 


45 


3 
4 


152 1 152 4 

202 8 203 2 




20 
30 


2724 
3198 


474 
474 


2105 
2002 


103 
103 


2228 
2736 


507 
508 


.603 5679 
.602 4922 


10757 
10 752 


40 
30 




5 


7 


253 5 254 
304 2 304 8 
354 9 355 6 




40 


3672 


474 


1899 


103 


3244 


508 


.601 4170 


10 748 


20 




8 


405 6 406 4 




50 


4146 


474 


1796 


103 


3751 


507 


.600 3422 


in 749 


10 




9 


456 3 457 2 








473 




103 




508 




1U I'tJt 








16 





0.212 4619 


474 


0.977 1693 


103 


217 4259 


508 


4.599 2680 


10738 





44 






10 
20 


5093 
5567 


474 


1590 
1487 


103 


4767 
5275 


508 


.598 1942 
597 1209 


10733 


50 
40 




Cotangent 




30 


6040 


473 


1384 


103 


5782 


507 


.596 0481 


10 728 
10 724 


30 




10 900 10 800 




40 


6514 


474 


1281 


103 


6290 


508 


.594 9757 




20 




i 


1090 1080 




50 


6988 


474 
474 


1178 


103 
103 


6798 


508 
508 


.593 9039 


10 718 
10714 


10 




2 
3 


JI80 2160 
3270 3240 


17 



10 
20 


0.212 7462 
7935 
8409 


473 
474 


977 1076 
0972 
0869 


103 
103 


0.217 7306 
7813 
8321 


507 
508 


4.592 8325 
.591 7616 
5906911 


10709 
10705 



50 
40 


43 


4 
5 
6 

7 


43W) 4320 
5450 5400 
6540 0480 
7630 7560 




30 
40 


8883 
9356 


474 
473 


0765 
0662 


104 
103 


8829 
9337 


508 
508 


.589 6212 
.588 5517 


10 699 
10695 


30 
20 




8 
9 


8720 8640 
9810 9720 




50 


9830 


474 
474 


0559 


103 
103 


9845 


508 
508 


.587 4827 


10 690 
10686 


10 




10 700 10 600 


18 



10 


0.213 0304 
0778 


474 


0.977 0466 
0352 


104 


0.218 0363 
0860 


507 


4.586 4141 
.585 3461 


10680 



50 


42 


1 
2 
3 


1070 1060 
2140 2120 
3210 3180 




20 


1251 


473 


0249 


103 


1368 


508 


.584 2785 


10 676 


40 




4 


1280 1210 




30 
40 
50 


1725 
2199 
2672 


474 
474 
473 
474 


0146 
0042 
0.976 9939 


103 
104 
103 
103 


1876 
2384 
2892 


508 
508 
508 
508 


.583 2114 
.582 1447 
.581 0786 


10 671 
10667 
10661 
10657 


30 
20 
10 




5 
6 
7 
8 
9 


5350 5300 
0420 6360 
7190 7420 
H560 8480 
9630 9540 


19 





0.213 3146 




0.976 9836 




0.218 3400 




4.680 0129 







41 






10 


3620 


474 


9732 


104 


3908 


508 


.578 9477 


10652 


50 








20 


4093 


473 


9629 


103 


4416 


508 


.577 8829 


10648 


40 








30 


4567 


474 


9525 


104 


4924 


508 


.576 8187 


10642 


30 








40 


5040 


473 


9422 


103 


5432 


508 


.575 7549 


10638 


20 








50 


5514 


474 


9318 


104 


5940 


508 


.574 6915 


10634 


10 












474 




103 




508 




10628 








20 





0.213 5988 




0.976 9215 




0.218 6448 




4.573 6287 







40 








Cosmo 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff. 


" 


' 


Proportional Parts 



77 40' 



SINES, COSINES, TANGENTS AND COTANGENTS 
12 20' 



75 



' 


" 


Sine 


Diff 


CoHinc 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 


20 



10 
20 


0.213 6988 
6461 
6935 


473 
474 


0.976 9215 
9111 
9008 


104 
103 


0.218 6448 
6956 
7464 


508 
508 


4.673 6287 
.572 5663 
.571 5044 


10624 
10619 



50 
40 


40 






30 
40 


7409 
7882 


474 
473 


8904 
8800 


104 
104 


7972 
8480 


508 
508 


.570 4430 
.569 3820 


10614 
10610 


30 
20 








50 


8356 


474 


8697 


103 


8988 


508 


.568 3215 


10605 


10 




Sine 








473 




104 




508 




10600 








21 



10 
20 
30 


0.213 8829 
9303 
9777 
0.214 0250 


474 
474 
473 


0.976 8593 
8489 
8386 
8282 


104 
103 
104 


0.218 9496 
219 0004 
0512 
1020 


508 
508 
508 


4.667 2615 
.566 2019 
.565 1428 
.564 0842 


10596 
10591 
10586 



50 
40 
30 


39 


i 

2 
3 
4 


473 474 

47 3 47 4 
94 6 94 8 
141 9 142 2 

189 2 189 6 




40 
50 


0724 
1197 


474 
473 
474 


8178 
8074 


104 
104 
104 


1528 
2036 


508 
508 
508 


.563 0260 
.561 9683 


10 582 
10577 
10572 


20 
10 




5 

6 

7 


236 5 237 
283 8 284 4 
331 1 331 8 


22 





0.214 1671 




0.976 7970 




0.219 2544 




4.660 9111 


10 567 





38 


8 
9 


378 4 379 2 
425 7 426 6 




10 


2144 


473 


7867 


103 


3053 


509 


.559 8544 




50 








20 


2618 


474 


7763 


104 


3561 


508 


.558 7981 


10 563 


40 








30 
40 


3092 
3565 


474 
473 


7659 
7555 


104 
104 


4069 
4577 


598 
508 


.557 7422 
.556 6869 


10559 
10553 


30 
20 




Cosine 




50 


4039 


474 
473 


7451 


104 
104 


5085 


508 
508 


.555 6320 


10 549 
10544 


10 




103 104 105 


23 



10 


0.214 4512 
4986 


474 


0.976 7347 
7243 


104 


0.219 5593 
6101 


508 


4 654 5776 
.553 5236 


10540 



50 


37 


i i 

2 2 
3 3 


03 10 4 10 5 
06 20 8 21 
09 31 2 31 5 




20 


5459 


473 


7139 


104 


6610 


509 


.552 4701 


10535 


40 




4 4 


12 41 6 42 




30 
40 
50 


5933 
6406 
6880 


474 
473 
474 
473 


7035 
6931 
6827 


104 
104 
104 
104 


7118 
7626 
8134 


508 
508 
508 
509 


.551 4171 
5503646 
.549 3125 


10 530 
10525 
10521 
10517 


30 
20 
10 




6 ( 
7 7 
8 fa 
9 I 


1 5 52 52 5 
18 62 4 63 
21 72 8 73 5 
24 83 2 84 
2 7 93 6 94 5 


24 



10 


0.214 7353 
7827 


474 


0.976 6723 
6619 


104 


0.219 8643 
9151 


508 


45482608 
547 2097 


10511 



50 


36 






20 
30 


8300 
8774 


473 
474 


6515 
6410 


104 
105 


9659 
0.220 0167 


508 
508 


.546 1590 
.545 1087 


10 507 
10503 


40 
30 




Tangent 




40 
50 


9247 
9721 


473 
474 
473 


6306 
6202 


104 
104 
104 


0676 
1184 


509 
508 
508 


.544 0589 
.543 0096 


10 498 
10493 
10488 


20 
10 




i 


508 509 

50 8 50 9 
101 6 101 8 


25 



10 
20 
30 


0.215 0194 
0668 
1141 
1615 


474 
473 
474 


0.976 6098 
5993 
5889 
5785 


105 
104 
104 


0.220 1692 
2201 
2709 
3217 


509 
508 
508 


4.541 9608 
.540 9124 
.539 8644 
.538 8170 


10484 
10480 
10474 



50 
40 
30 


35 


3 
4 
5 
6 

7 


15'> 4 152 7 
203 2 203 6 
254 254 5 
304 8 305 4 
355 6 356 3 




40 
50 


2088 
2562 


473 
474 
473 


5681 
5576 


104 
105 
104 


3726 
4234 


509 
508 
508 


.537 7700 
.536 7234 


10 470 
10466 
10461 


20 
10 




8 
9 


406 4 407 2 
457 2 458 i 


26 



10 
20 


0.215 3035 
3508 
3982 


473 
474 


0.976 5472 
5367 
5263 


105 
104 


0.220 4742 
5251 
5759 


509 
508 


4.536 6773 
.534 6317 
.533 5865 


10456 
10452 



50 
40 


34 


Cotangent 




30 
40 
50 


4455 
4929 
5402 


473 
474 
473 
474 


5159 
5054 
4950 


104 
105 
104 
105 


6268 
6776 
7284 


509 
508 
508 
509 


.532 5418 
.531 4976 
.530 4538 


10 447 
10442 
10438 
10433 


30 
20 
10 




i 

3 
4 


10 600 10 500 

1060 1050 
2120 2100 
3180 3150 
4240 4200 


27 



10 


0.216 5876 
6349 


473 


976 4845 
4741 


104 


0.220 7793 
8301 


508 


4.629 4105 
.528 3676 


10429 



50 


33 


6 


5300 5250 
6360 6300 




20 
30 
40 


6822 
7296 
7769 


473 
474 
473 


4636 
4531 

4427 


105 
105 
104 


8810 
9318 
9827 


509 
508 
509 


.527 3252 
.526 2832 
.525 2417 


10424 
10420 
10415 


40 
30 
20 




7 
8 
9 


7420 7350 
8480 8400 
9540 9150 




50 


8243 


474 
473 


4322 


105 
104 


0.221 0335 


508 
509 


.524 2007 


10410 
10406 


10 




10 400 10 300 

1 1040 1030 


28 



10 
20 
30 
40 
50 


215 8716 
9189 
9663 
216 0136 
0609 
1083 


473 
474 
473 
473 
474 
473 


0.976 4218 
4113 
4008 
3904 
3799 
3694 


105 
105 
104 
105 
105 
105 


0.221 0844 
1352 
1861 
2369 
2878 
3386 


508 
509 
508 
509 
508 
509 


4.623 1601 
.522 1199 
.521 0803 
.520 0410 
.519 0023 
.517 9640 


10402 
103% 
10393 
10387 
10383 
10379 



50 
40 
30 
20 
10 


32 


3 
4 

6 

7 
8 
9 


2080 2060 
3120 3090 
4160 4120 
5200 5150 
6240 6180 
7280 7210 
8320 8240 
93600 92700 


29 



10 


0.216 1656 
2029 


473 


0.976 3589 
3484 


105 


0.221 3895 
4404 


509 


4.616 9261 
.515 8887 


10374 




50 


31 






20 
30 
40 


2503 
2976 
3449 


474 
473 
473 


3380 
3275 
3170 


104 
105 
105 


4912 
5421 
5929 


508 
509 
508 


.514 8518 
.513 8153 
.512 7792 


10369 
10365 
10361 


40 
30 
20 








50 


3923 


474 
473 


3065 


105 
105 


6438 


509 
509 


.511 7436 


10 356 
10351 


10 






30 





0.216 4396 




0.976 2960 




0.221 6947 




4.610 7086 







30 








Cosmp 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff. 


" 


' 


Proportional Parts 



77 30' 



76 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
12 30' 



' 


" 


Sine 


Diff 


Cm.m- 


Diff 


Tangent 


Diff 


Cotangent 


Diff. 






Proportional Parts 


30 





0.216 4396 




976 2960 




0.221 6947 




4 610 7085 







30 








10 


4869 


473 


2855 


105 


7455 


508 


.509 6738 


10 347 


50 










20 


5343 


474 


2750 


105 


7964 


509 


.508 6396 


10342 


40 




Sine 




30 


5816 


473 


2645 


105 


8473 


509 


507 6058 


10338 


30 




473 474 




40 


6289 


473 


2540- 


105 


8981 


508 


.506 5725 


10333 


20 




1 47 


3 47 4 




50 


6763 


474 
473 


2435 


105 
105 


9490 


509 
509 


.505 5396 


10329 
10324 


10 




2 94 
3 141 


6 94 8 
9 142 2 


31 



10 
20 


0.216 7236 
7709 
8183 


473 
474 


0.976 2330 
2225 
2120 


105 
105 


221 9999 
0.222 0507 
1016 


508 
509 


4 504 5072 
.503 4752 
.502 4437 


10320 
10315 



50 
40 


29 


4 189 
5 236 
6 283 
7 331 


2 189 6 
5 237 
8 284 4 
1 331 8 




30 


8656 


473 


2015 


105 


1525 


509 


501 4126 


10311 


30 




8 378 


4 379 2 




40 


9129 


473 


1910 


105 


2034 


509 


.500 3820 


10 306 


20 




9 425 


7 426 6 




50 


9602 


473 


1804 


106 


2542 


508 


.499 3518 


10 302 


10 














474 




105 




509 




10297 










32 



10 


0.217 0076 
0549 


473 


0.976 1699 
1594 


105 


0.222 3051 
3560 


509 


4.498 3221 
.497 2928 


10293 



50 


28 


Cosine 




20 


1022 


473 


1489 


105 


4069 


509 


.496 2640 


10288 


40 




105 


106 107 




30 


1495 


473 


1383 


106 


4577 


508 


.495 2356 


10284 


30 




1 10 5 


10 R 10 7 




40 
50 


1969 
2442 


474 
473 
473 


1278 
1173 


105 
105 
105 


5086 
5595 


509 
509 
509 


.494 2077 
.493 1802 


10279 
10275 
10270 


20 
10 




2 21 
3 31 5 
4 42 


21 2 21 4 
31 8 32 1 
42 4 42 8 


33 



10 


0.217 2915 
3388 


473 


0.976 1068 
0962 


106 


222 6104 
6613 


509 


4.492 1532 
.491 1266 


10266 



50 


27 


5 52 5 
6 63 

7 73 5 


53 53 5 
63 6 64 2 
74 2 74 9 




20 
30 


3862 
4335 


474 
473 


0857 
0751 


105 
106 


7122 
7631 


509 
509 


.490 1005 
.489 0748 


10261 
10257 


40 
30 




8 84 
9 94 5 


84 8 85 6 
95 4 96 3 




40 


4808 


473 


0646 


105 


8139 


508 


.488 0496 


10252 


20 










50 


5281 


473 


0541 


105 


8648 


509 


.487 0248 


10248 


10 














473 




106 




509 




10244 










34 





217 5764 




0.976 0435 




0.222 9167 




44860004 







26 


Tangent 




10 


6228 


474 


0330 


105 


9666 


509 


.484 9765 


10239 


50 




508 509 510 




20 
30 
40 


6701 
7174 
7647 


473 
473 
473 


0224 
0119 
0013 


106 
105 
106 


223 0175 
0684 
1193 


509 
509 
509 


.483 9530 
.482 9300 
.481 9074 


10235 
10230 
10226 


40 
30 
20 




1 50 8 
2 101 6 
3 152 4 
4 203 2 


50 9 51 
101 8 102 
152 7 153 
203 6 204 




50 


8120 


473 


0.975 9907 


106 


1702 


509 


.480 8853 


10221 


10 




r ) 254 


254 5 255 








473 




105 




509 




10217 






6 304 8 


305 4 306 


35 



10 
20 


0.217 8593 
9067 
9540 


474 
473 


0.975 9802 
9696 
9590 


106 
106 


0.223 2211 
2720 
3229 


509 
509 


4.479 8636 
.478 8424 
.477 8216 


10212 
10208 



50 
40 


25 


7 355 6 
8 406 4 
9 457 2 


356 3 357 
407 2 408 
458 1 459 




30 


0.218 0013 


473 


9485 


105 


3738 


509 


.476 8012 


10 204 


30 










40 


0486 


473 


9379 


106 


4247 


509 


.475 7813 


10199 


20 










50 


0959 


473 
473 


9273 


106 
105 


4756 


509 
509 


.474 7619 


10194 
10191 


10 




Cotangent 


36 



10 
20 


218 1432 
1906 
2379 


474 
473 


0.975 9168 
9062 
8956 


106 
106 


0.223 5265 
5774 
6283 


509 
509 


4 473 7428 
.472 7242 
.471 7061 


10186 
10181 



50 
40 


24 ^ 


10 400 10 300 

1 1040 1030 
2 2080 2060 
3 3120 3090 




30 


2852 


473 


8850 


106 


6792 


509 


.470 6884 


10 177 


30 




4 4160 1120 




40 


3325 


473 


8744 


106 


7301 


509 


.4696711 


10173 


20 




5 5200 5150 




50 


3798 


473 
473 


8639 


105 
106 


7810 


509 
509 


.468 6543 


10168 
10164 


10 




6 6240 6180 
7 7280 7210 


























8 8320 


n fioin n 


37 



10 


0.218 4271 
4744 


473 


0.975 8533 
8427 


106 


0.223 8319 
8828 


509 


4.467 6379 
.466 6220 


10159 



50 


23 


9 9360 9270 




20 


5217 


473 


8321 


106 


9337 


509 


.465 6065 


10155 


40 




10 200 10 100 




30 


5690 


473 


8215 


106 


9847 


510 


.464 5914 


10151 


30 




1 1020 1010 




40 
50 


6164 
6637 


474 
473 
473 


8109 
8003 


106 
106 
106 


0.224 0356 
0865 


509 
509 
509 


.463 5768 
.462 5626 


10146 
10142 
10137 


20 
10 




2 2040 2020 
3 3060 3030 
4 4080 4040 


38 



10 


218 7110 
7583 


473 


976 7897 
7791 


106 


0.224 1374 
1883 


509 


4.461 5489 
.460 5356 


10133 



50 


22 


5 5100 5050 
6 6120 6060 
7 7HO 7070 




20 
30 


8056 
8529 


473 
473 


7685 
7579 


106 
106 


2392 
2902 


509 
510 


.459 5227 
.458 5103 


10 129 
10124 


40 
30 




8 8160 8080 
9 9180 9090 




40 
50 


9002 
9475 


473 
473 
473 


7473 
7366 


106 
107 
106 


3411 
3920 


509 
509 
509 


.457 4983 
.456 4868 


10 120 
10115 
10112 


20 
10 




1 
2 


LOOOO 

1000 
2000 


39 





218 9948 




0.976 7260 




0.224 4429 




4.455 4756 







21 


3 


3000 




10 


219 0421 


473 


7154 


106 


4939 


510 


.454 4650 


10 106 


50 




4 


4000 




20 
30 
40 


0894 
1367 
1840 


473 
473 
473 


7048 
6942 
6835 


106 
106 
107 


5448 
5957 
6466 


509 
509 
509 


.453 4547 
.452 4449 
.451 4355 


10 103 
10098 
10094 


40 
30 
20 




5 
6 

7 
8 


5000 
6000 
7000 
8000 




50 


2313 


473 


6729 


106 


6976 


510 


.450 4266 


10089 


10 




9 


9000 








473 




106 




509 




10085 










40 





0.219 2786 




0.975 6623 




0.224 7485 




4.449 4181 







20 










Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 




' 


Proportional Parts 



77 20' 



SINES, COSINES, TANGENTS AND COTANGENTS 
12 40' 



77 



' 


- 


Sine 


Diff 


Conine 


Diff 


Tnnf;ont 


Diff 


Cotangent 


Dili 






Pioportional Parts 


40 





0.219 2786 




0.976 6623 




0.224 7485 




4.449 4181 







20 






10 


3259 


473 


6516 


107 


7994 


509 


.448 4100 


10081 


50 








20 


3732 


473 


6410 


106 


8504 


510 


.447 4024 


10076 


40 








30 
40 


4205 
4678 


473 
473 


6304 
6197 


106 
107 


9013 
9522 


509 
509 


446 3952 
.445 3885 


10072 
10067 


30 
20 








50 


5151 


473 
473 


6091 


106 
106 


225 0032 


510 
509 


444 3821 


10064 
10059 


10 




Sine 


41 





0.219 5624 




0.975 6986 




0.225 0541 




4 443 3762 







19 


472 473 




10 


6097 


473 


5878 


107 


1050 


509 


.442 3708 


10054 


50 




1 17 2 -17 3 




20 
30 
40 


6570 
7043 
7516 


473 
473 
473 


5772 
5665 
5559 


106 
107 
106 


1560 
2069 
2578 


510 
509 
509 


.441 3657 
.4403611 
439 3570 


10051 
10046 
10041 


40 
30 
20 




-2 <)l 4 91 6 
3 111 6 141 9 

1 188 8 189 2 
r > 23G 230 5 




50 


7989 


473 


5452 


107 


3088 


510 


.438 3532 


10038 


10 




283 2 283 8 








473 




107 




509 




10032 






7 330 1 331 1 


42 



10 


219 8462 
8935 


473 


0.975 6345 
5239 


106 


226 3697 
4107 


510 


4.437 3500 
.436 3471 


10029 



50 


18 


8 377 6 378 4 
9 121 8 425 7 




20 


9408 


473 


5132 


107 


4616 


509 


.435 3446 


10025 


40 








30 


9881 


473 


5026 


106 


5126 


510 


434 3426 


10020 


30 








40 
50 


220 0354 
0827 


473 
473 
473 


4919 
4812 


107 
107 
106 


5635 
6145 


509 
510 
509 


.4333411 
.432 3399 


10015 
10012 
10007 


20 
10 




Cosine 

106 107 108 


43 



10 
20 


0.220 1300 
1773 
2245 


473 

472 


0.976 4706 
4599 
4492 


107 
107 


0.225 6664 
7164 
7673 


510 
509 


4.431 3392 
.430 3389 
429 3391 


10003 
9998 



50 
40 


17 


1 10 10 7 10 8 
2 21 2 21 4 21 
3 31 8 32 1 32 1 
4 12 4 42 8 43 2 




30 


2718 


473 


4385 


107 


8183 


510 


.428 3396 


9 995 


30 




5 5i 53 5 54 




40 
50 


3191 
3664 


473 
473 
473 


4278 
4172 


107 
106 
107 


8692 
9202 


509 
510 
509 


.427 3407 
.426 3421 


9989 
9986 
9982 


20 
10 




G 03 G 01 2 64 8 
7 74 2 71 9 75 G 
8 81 8 85 G 80 1 
9 95 4 96 3 97 2 


44 



10 


0.220 4137 
4610 


473 


0.976 4066 
3958 


107 


0.225 9711 
0.226 0221 


510 


4.425 3439 
424 3462 


9977 



50 


16 






20 


5083 


473 


3851 


107 


0731 


510 


.423 3490 


9 972 


40 








30 


5556 


473 


3744 


107 


1240 


509 


.422 3521 


9 969 


30 




Tangent 




40 


6029 


473 
472 


3637 


107 
107 


1750 


510 
509 


421 3557 


9964 
9 960 


20 




509 510 




50 


6501 


473 


3530 


107 


2259 


510 


420 3597 


9956 


10 




1 1 50 9 51 


























'2 1 101 S 102 


45 





0.220 6974 




0.976 3423 




0.226 2769 




4 419 3641 







15 


3 152 7 H3 




10 


7447 


473 


3316 


107 


3279 


510 


.418 3689 


9952 


50 




4 203 204 




20 
30 
40 
50 


7920 
8393 
8866 
9339 


473 
473 
473 
473 


3209 
3102 
2995 
2888 


107 
107 
107 
107 


3788 
4298 
4808 
5317 


509 
510 
510 
509 


.417 3742 
416 3799 
.415 3861 
414 3926 


9947 
9943 
9938 
9935 


40 
30 
20 
10 




5 254 5 255 
30") 1 300 
7 3"0 3 357 
S 107 2 408 
9 158 1 459 








472 




107 




510 




9 930 








46 





0.220 9811 




0.976 2781 




0.226 5827 




4 413 3996 







14 






10 
20 


221 0284 
0757 


473 
473 


2674 
2566 


107 
108 


6337 
6846 


510 
509 


412 4070 
.411 4148 


9926 
9922 


50 
40 




Cotangent 




30 


1230 


473 


2459 


107 


7356 


510 


.410 4231 


9917 


30 




10 000 9900 




40 


1703 


473 


2352 


107 


7866 


510 


409 4318 


9 913 


20 




1 1000 990 




50 


2175 


472 
473 


2245 


107 
107 


8376 


510 
509 


.408 4409 


9909 
9905 


10 




2 2000 1980 
3 3000 2970 


47 



10 
20 


0.221 2648 
3121 
3594 


473 
473 


975 2138 
2030 
1923 


108 
107 


0.226 8885 
9395 
9905 


510 
510 


44074604 
.406 4604 
.405 4707 


9900 
9897 



50 
40 


13 


1 1000 3900 
5 5000 4950 
0000 5910 
7 7000 6930 




30 
40 


4067 
4539 


473 
472 


1816 
1708 


107 
108 


227 0415 
0925 


510 
510 


.404 4815 
.403 4927 


9892 
9888 


30 
20 




8 8000 7920 
9 1 9000 8910 




50 


5012 


473 
473 


1601 


107 
107 


1434 


509 
510 


.402 5044 


9883 
9880 


10 




9800 


48 



10 
20 


0.221 6485 
5958 
6430 


473 
472 


0.976 1494 
1386 
1279 


108 
107 


0.227 1944 
2454 
2964 


510 
510 


4.401 5164 
.400 5289 
.399 5418 


9875 
9871 



50 
40 


12 


1 980 
2 1900 
3 2910 
4 3920 




30 


6903 


473 


1171 


108 


3474 


510 


.398 5552 


9866 


30 




5 4900 




40 
50 


7376 
7849 


473 
473 
472 


1064 
0956 


107 
108 
107 


3984 
4494 


510 
510 
509 


.397 5689 
.3965831 


9863 
9858 
9854 


20 
10 




6 5880 
7 G8GO 
8 7840 
9 8820 


49 



10 


221 8321 
8794 


473 


0.976 0849 
0741 


108 


0.227 6003 
5513 


510 


4 395 5977 
.394 6127 


9850 



50 


11 






20 


9267 


473 


0634 


107 


6023 


510 


.393 6281 


9846 


40 








30 
40 


9740 
222 0212 


473 
472 


0526 
0418 


108 
108 


6533 
7043 


510 
510 


.392 6439 
.391 6602 


9842 
9837 


30 
20 








50 


0685 


473 


0311 


107 


7553 


510 


.390 6769 


9833 


10 












473 




108 




510 




9829 








50 





222 1158 




0.975 0203 




0.227 8063 




4.389 6940 







10 








Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


DifT 


" 


' 


Proportional Paits 



77 10' 



78 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
12 50' 



' 


" 


Sine 


Diff 


COBIMP 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 


50 





0.222 1158 




0.975 0203 




0.227 8063 




4.389 6940 







10 






10 


1630 


472 


0095 


108 


8573 


510 


.388 7115 


9825 


50 








20 


2103 


473 


0.974 9988 


107 


9083 


510 


.387 7294 


9821 


40 








30 


2576 


473 


9880 


108 


9593 


510 


.386 7478 


9816 


30 








40 


3049 


473 


9772 


108 


228 0103 


510 


.385 7666 


9812 


20 








50 


3521 


472 


9664 


108 


0613 


510 


.384 7858 


9808 


10 












473 




108 




510 




9804 








51 





0.222 3994 




0.974 9556 




228 1123 




4.383 8054 







9 


Sine 




10 


4467 


473 


9449 


107 


1633 


510 


.382 8254 


9 800 


50 




472 473 




20 


4939 


472 


9341 


108 


2143 


510 


381 8458 


9 796 


40 




1 


47 2 47 3 




30 


5412 


473 


9233 


108 


2653 


510 


380 8667 


9 791 


30 






94 4 04 fl 




40 
50 


5885 
6357 


473 
472 
473 


9125 
9017 


108 
108 
108 


3163 
3674 


510 
511 
510 


.379 8880 
.378 9096 


9787 
9784 
9779 


20 
10 




3 

4 
5 


141 6 141 9 

188 8 189 2 
23(> 230 5 


52 





222 6830 




0.974 8909 




0.228 4184 




4 377 9317 







8 




7 


283 2 283 8 
330 4 331 1 




10 


7302 


472 


8801 


108 


4694 


510 


376 9543 


9 774 


50 




8 


377 6 378 4 




20 


7775 


473 


8693 


108 


5204 


510 


.375 9772 


9 771 


40 







424 8 425 7 




30 


8248 


473 


8585 


108 


5714 


510 


.375 0005 


9767 


30 








40 


8720 


472 


8477 


108 


6224 


510 


.374 0243 


9 762 


20 








50 


9193 


473 
473 


8369 


108 
108 


6734 


510 
510 


373 0485 


9758 
9754 


10 




Cosine 


53 





0.222 9666 




0.974 8261 




228 7244 




4 372 0731 







7 


107 108 109 




10 


223 0138 


472 


8153 


108 


7755 


511 


371 0981 


9 750 


50 




i i 


07 10 8 10 9 




20 
30 


0611 
1083 


473 
472 


8045 
7937 


108 
108 


8265 
8775 


510 
510 


370 1235 
369 1493 


9746 
9742 


40 
30 




2 2 
3 3 
4 \ 


1 4 21 G 21 8 

2 1 32 4 32 7 
2 8 43 2 43 




40 


1556 


473 


7828 


109 


9285 


510 


.368 1756 


9737 


20 




5 r 


3 5 51 51 ,") 




50 


2029 


473 


7720 


108 


9796 


511 


367 2022 


9734 


10 




fi ( 


42 04 8 05 4 








472 




108 




510 




9 729 






7 7 


4 9 75 76 3 


54 



10 


223 2501 
2974 


473 


0.974 7612 
7504 


108 


229 0306 
0816 


510 


4 366 2293 
365 2568 


9725 



50 


6 


8 * 

9 i 


5 80 4 87 2 
6 3 97 2 98 1 




20 


3446 


472 


7395 


109 


1326 


510 


364 2847 


9721 


40 








30 


3919 


473 


7287 


108 


1837 


511 


.363 3130 


9 717 


30 








40 
50 


4391 
4864 


472 
473 
473 


7179 
7070 


108 
109 
108 


2347 
2857 


510 
510 
510 


362 3417 
361 3708 


9713 
9709 
9705 


20 
10 




Tangent 

510 511 


55 



10 


223 5337 
5809 


472 


0.974 6962 
6854 


108 


229 3367 
3878 


511 


4 360 4003 
359 4303 


9700 



50 


5 


1 


51 51 1 
10J 102 2 
153 153 3 




20 


6282 


473 


6745 


109 


4388 


510 


358 4606 


9 697 


40 




4 


201 201 4 




30 


6754 


472 


6637 


108 


4898 


510 


.357 4914 


9 692 


30 




5 


255 1?55 , r 




40 
50 


7227 
7699 


473 
472 
473 


6528 
6420 


109 
108 
109 


5409 
5919 


511 
510 
510 


356 5225 
355 5541 


9689 
9684 
9680 


20 
10 




(i 

8 
y 


300 300 6 
r>7 357 7 
H)S 408 8 
459 459 9 


56 





0.223 8172 




0.974 6311 




0.229 6429 




4 354 5861 







4 






10 


8644 


472 


6203 


108 


6940 


511 


353 6185 


9676 


50 








20 


9117 


473 


6094 


109 


7450 


510 


352 6513 


9 672 


40 








30 


9589 


472 


5986 


108 


7961 


511 


351 6845 


9668 


30 




Cotangent 




40 
50 


224 0062 
0534 


473 
472 
473 


5877 
5769 


109 
108 
109 


8471 
8982 


510 
511 
510 


350 7182 
349 7522 


9 663 
9660 
9656 


20 
10 




i 


9800 9700 

980 970 
UOO 1910 


57 





224 1007 




974 5660 




229 9492 




4 348 7866 







3 


3 


2940 2910 




10 


1479 


472 


5551 


109 


230 0002 


510 


.347 8215 


9651 


50 




4 


3920 3S80 




20 
30 
40 


1952 
2424 
2897 


473 
472 
473 


5443 
5334 
5225 


108 
109 
109 


0513 
1023 
1534 


511 
510 
511 


346 8567 
345 8924 
.344 9285 


9648 
9643 
9639 


40 
30 
20 




5 


8 


4900 4850 
5880 5820 
0800 0790 
7S10 77t)0 




50 


3369 


472 


5116 


109 


2044 


510 


.343 9649 


9 636 


10 




) 


8820 8730 








473 




108 




511 




9631 








58 



10 
20 
30 


224 3842 
4314 
4786 
5259 


472 
472 
473 


974 5008 
4899 
4790 
4681 


109 
109 
109 


0.230 2555 
3065 
3576 
4086 


510 
511 
510 


4 343 0018 
.342 0391 
341 0768 
.340 1149 


9627 
9623 
9619 



50 
40 
30 


2 


1 

3 
4 


9600 9500 

900 950 
1920 1900 
2880 2850 
3840 3800 




40 


5731 


472 


4572 


109 


4597 


511 


.339 1534 


9 615 


20 




5 


1800 4750 




50 


6204 


473 
472 


4464 


108 
109 


5108 


511 
510 


.338 1923 


9 611 
9607 


10 




6 

7 


5700 5700 
0720 0050 


59 



10 


224 6676 
7149 


473 


0.974 4355 
4246 


109 


0.230 6618 
6129 


511 


4 337 2316 
.336 2713 


9603 



50 


1 


8 
9 


7080 7000 
8640 8550 




20 


7621 


472 


4137 


109 


6639 


510 


.3353114 


9 599 


40 








30 


8093 


472 


4028 


109 


7150 


511 


.334 3519 


9 595 


30 








40 


8566 


473 


3919 


109 


7661 


511 


.333 3928 


9 591 


20 








50 


9038 


472 


3810 


109 


8171 


510 


.332 4341 


9587 


10 












473 




109 




511 




9582 








60 





224 9611 




0.974 3701 




0.230 8682 




4.331 4769 
















Cosmo 


Diff 


Kino 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



77 00' 



SINES, COSINES, TANGENTS AND COTANGENTS 
13 0' 



79 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Paits 








0.224 9511 




0.974 3701 




0.230 8682 




4.331 7459 







60 






10 


9983 


472 


3592 


109 


9193 


511 


.330 5180 


9579 


50 








20 


225 0455 


472 


3482 


110 


9703 


510 


.329 5605 


9575 


40 








30 


0928 


473 


3373 


109 


231 0214 


511 


.328 6035 


9570 


30 








40 


1400 


472 


3264 


109 


0725 


511 


.327 6468 


9 567 


20 








50 


1872 


472 


3155 


109 


1235 


510 


326 6905 


9 563 


50 












473 




109 




511 




9558 






Sine 


1 



10 
20 
30 


0.225 2345 
2817 
3289 
3762 


472 
472 
473 


0.974 3046 
2937 
2827 
2718 


109 
110 
109 


0.231 1746 
2257 
2768 
3278 


511 
511 
510 


4.325 7347 
324 7792 
.323 8241 
.322 8695 


9555 
9551 
9546 



50 
40 
30 


59 


472 473 

1 47 2 47 3 
2 94 4 91 
3 HI to 111 9 




40 


4234 


472 


2609 


109 


3789 


511 


.321 9152 


9 543 


20 




4 188 8 189 2 




50 


4706 


472 


2500 


109 


4300 


511 


320 9614 


9 538 


10 




f> 23fi 230 5 








473 




110 




511 




9535 






6 283 2 283 X 


2 



10 


0.226 6179 
5651 


472 


974 2390 
2281 


109 


0.231 4811 
5321 


510 


4 320 0079 
319 0548 


9531 



50 


68 


7 330 4 331 1 
8 377 378 4 
9 42i 8 425 7 




20 


6123 


472 


2172 


109 


5832 


511 


.318 1022 


9 526 


40 








30 


6596 


473 


2062 


110 


6343 


511 


317 1499 


9 523 


30 








40 
50 


7068 
7540 


472 
472 


1953 
1843 


109 
110 


6854 
7365 


511 
511 


316 1980 
315 2466 


9 519 
9514 


20 
10 




Cosine 








473 




109 




511 




9511 








3 



10 


0.225 8013 
8485 


472 


974 1734 
1624 


110 


231 7876 
8386 


510 


4.314 2955 
.313 3448 


9507 



50 


67 


109 110 111 

1 10 9 11 11 1 

22 8 22 22 2 




20 


8957 


472 


1515 


109 


8897 


511 


.312 3945 


9 503 


40 




3 32 7 33 3.1 3 




30 


9430 


473 


1405 


110 


9408 


511 


3114447 


9498 


30 




4 4'i 44 41 4 




40 
50 


9902 
226 0374 


472 
472 
472 


1296 
1186 


109 
110 
109 


9919 
232 0430 


511 
511 
511 


.310 4952 
.309 5461 


9 495 
9491 
9487 


20 
10 




5 54 5 55 55 5 
O r > 4 GO ()6 (i 

7 7b 3 77 77 7 
H 87 2 88 88 8 


4 





0.226 0846 




0.974 1077 




0.232 0941 




4 308 5974 







66 


9 1)8 1 99 99 9 




10 


1319 


473 


0967 


110 


1452 


511 


.307 6491 


9 483 


50 








20 


1791 


472 


0857 


110 


1963 


511 


.306 7012 


9 479 


40 








30 
40 


2263 
2735 


472 
472 


0748 
0638 


109 
110 


2474 
2985 


511 
511 


.305 7537 
3048066 


9 475 
9471 


30 
20 




Tangent 




50 


3208 


473 


0528 


110 


3496 


511 


303 8599 


9467 


10 




510 511 512 








472 




109 




511 




9463 






1 51 51 1 51 2 


5 





0.226 3680 




974 0419 




232 4007 




4.302 9136 







55 


2 102 102 2 102 1 




10 
20 


4152 
4624 


472 
472 


0309 
0199 


110 
110 


4518 
5029 


511 
511 


.301 9677 
301 0221 


9 459 
9456 


50 
40 




3 r>.l 153 3 153 6 
4 JO 201 1 201 8 




30 
40 


5096 
5569 


472 
473 


0089 
973 9979 


110 
110 


5540 
6051 


511 
511 


300 0770 
299 1323 


9 451 
9447 


30 
20 




5 2")") 2") r > 250 
3()ti 301) G 307 2 
7 357 3 r i7 7 358 4 




50 


6041 


472 
472 


9870 


109 
110 


6562 


511 
511 


.298 1879 


9 444 
9439 


10 




8 40S H)8 8 409 
9 459 159 9 4')0 8 


6 





0.226 6513 




973 9760 




232 7073 




4 297 2440 







54 






10 


6985 


472 


9650 


110 


7584 


511 


.296 3004 


9 436 


50 








20 
30 


7457 
7930 


472 
473 


9540 
9430 


110 
110 


8095 
8606 


511 
511 


295 3573 
294 4145 


9 431 
9428 


40 
30 




Cotangent 




40 


8402 


472 


9320 


110 


9117 


511 


.293 4721 


9424 


20 




9600 9500 




50 


8874 


472 


9210 


110 


9628 


511 


292 5301 


9420 


10 




i 9G< o <r>o o 








472 




110 




512 




9416 






2 l')J( 1900 


7 



10 
20 


0.226 9346 
9818 
227 0290 


472 
472 


973 9100 
8990 
8880 


110 
110 


0.233 0140 
0651 
1162 


511 
511 


4 291 5885 
.290 6473 
289 7065 


9412 
9408 



50 
40 


63 


I JS8( 2X50 
1 3SK iSOO ) 
5 1SO( 1 1750 
h r )7M ) 5700 




30 


0763 


473 


8770 


110 


1673 


511 


288 7661 


9404 


30 




7 07 Jf ) 00)0 




40 
50 


1235 
1707 


472 
472 


8660 
8550 


110 
110 


2184 
2695 


511 
511 


287 8261 
286 8864 


9 400 
9397 


20 
10 




8 70X( ) 7000 
9 80 1< ) 85")() 








472 




111 




512 




9 392 








8 



10 
20 


0.227 2179 
2651 
3123 


472 
472 


973 8439 
8329 
8219 


110 
110 


233 3207 
3718 
4229 


511 
511 


4 285 9472 
.285 0083 
284 0699 


9389 
9384 



50 
40 


52 


9400 9300 

1 910 (HO 

2 1880 1800 
: 2HJO 2790 




30 


3595 


472 


8109 


110 


4740 


511 


.283 1318 


9 381 


30 




4 1700 3720 




40 
50 


4068 
4540 


473 
472 
472 


7999 
7888 


110 

111 

110 


5251 
5763 


511 
512 
511 


.282 1941 
281 2568 


9 377 
9373 
9369 


20 
10 




5 1700 1050 
5040 55SO 
7 0580 fnlO 
8 7520 7110 


9 





227 5012 




0.973 7778 




0.233 6274 




4.280 3199 







51 


9 8400 8370 




10 


5484 


472 


7668 


110 


6785 


511 


.279 3834 


9 365 


50 








20 


5956 


472 


7557 


111 


7297 


512 


.278 4472 


9362 


40 








30 


6428 


472 


7447 


110 


7808 


511 


.2775115 


9357 


30 








40 


6900 


472 


7337 


110 


8319 


511 


.276 5761 


9 354 


20 








50 


7372 


472 


7226 


111 


8831 


512 


275 6412 


9 349 


10 












472 




110 




511 




9346 








10 





227 7844 




973 7116 




0.233 9342 




4 274 7066 







50 








Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Pin >ortional Parts 



76 50' 



80 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
13 10' 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 


10 





0.227 7844 




0.973 7116 




0.233 9342 




4.274 7066 







50 






10 


8316 


472 


7005 


111 


9853 


511 


.273 7724 


9 342 


50 








20 


8788 


472 


6895 


110 


0.234 0365 


512 


.272 8386 


9 338 


40 








30 


9260 


472 


6784 


111 


0876 


511 


.271 9052 


9334 


30 








40 


9732 


472 


6674 


110 


1387 


511 


.270 9721 


9 331 


20 








50 


228 0205 


473 
472 


6563 


111 
110 


1899 


512 
512 


.270 0395 


9326 
9323 


10 




Sine 


11 



10 
20 


228 0677 
1149 
1621 


472 
472 


973 6463 
6342 
6232 


111 

110 


0.234 2411 
2922 
3433 


511 
511 


4.269 1072 
.268 1754 
.267 2439 


9318 
9315 



50 
40 


49 


4 

i 


71 472 473 

47 1 47 2 47 3 
94 2 94 4 94 6 




30 
40 


2093 
2565 


472 
472 


6121 
6010 


111 
111 


3944 
4456 


511 
512 


.2663128 
265 3820 


9 311 
9308 


30 
20 




3 1 
4 1 


41 3 141 6 141 9 

88 4 188 8 189 2 




50 


3037 


472 
472 


5900 


110 

111 


4967 


511 
512 


.264 4517 


9303 
9299 


10 




r> 2 

6 2 


35 5 236 236 5 
82 6 283 2 283 8 


























7 c 


29 7 330 4 331 1 


12 





0.228 3509 




0.973 5789 




0.234 6479 




4 263 5218 







48 


8 3 


76 8 377.6 378.4 




10 


3981 


472 


5678 


111 


5990 


511 


.262 5922 


9 2% 


50 




9 4 


23 9 424.8 425 7 




20 


4453 


472 


5568 


110 


6502 


512 


.261 6630 


9 292 


40 








30 


4925 


472 


5457 


111 


7013 


511 


.260 7342 


9288 


30 








40 
50 


5397 
5869 


472 
472 


5346 
5235 


111 
111 


7525 
8036 


512 
511 


259 8058 
.258 8778 


9284 
9280 


20 
10 




Cosine 








472 




111 




512 




9277 






110 111 112 


13 





0.228 6341 




0.973 6124 




0.234 8548 




4.257 9501 







47 


1 


11 11 1 11 2 




10 


6813 


472 


5014 


110 


9060 


512 


.257 0229 


9272 


50 




2 


22 22 2 22 4 




20 
30 
40 


7285 
7757 
8228 


472 
472 
471 


4903 
4792 
4681 


111 
111 
111 


9571 
235 0083 
0594 


511 
512 
511 


.256 0960 
.255 1695 
254 2434 


9269 
9265 
9261 


40 
30 
20 




3 
4 
5 
b 


33 33 3 33 6 
44 44 4 44 8 
55 55 5 50 
66 06 6 67 2 




50 


8700 


472 


4570 


111 


1106 


512 


.253 3176 


9 258 


10 






77 77 7 78 4 








472 




111 




511 




9253 






8 


88 88 8 89 6 


14 





228 9172 




0.973 4469 




0.235 1617 




4 252 3923 







46 


9 


99 99 9 100 8 




10 


9644 


472 


4348 


111 


2129 


512 


251 4673 


9 250 


50 








20 


02290116 


472 


4237 


111 


2641 


512 


250 5427 


9246 


40 








30 
40 


0588 
1060 


472 
472 


4126 
4015 


111 

111 


3152 
3664 


511 
512 


.249 6185 
248 6947 


9 242 
9238 


30 
20 




Tangent 




50 


1532 


472 


3904 


111 


4176 


512 


.247 7712 


9 235 


10 




511 512 513 








472 




111 




511 




9230 






1 


51 1 51 2 51 3 


15 



10 
20 


229 2004 
2476 
2948 


472 
472 


0.973 3793 
3681 
3570 


112 
111 


0.235 4687 
5199 
5711 


512 
512 


4 246 8482 
.245 9255 
.245 0032 


9227 
9223 



50 
40 


45 


2 1 
3 1 

4 2 
5 2 


02 2 102 1 102 6 
53 3 153 6 153 9 
04 4 204 8 205 2 
55 r ) 256 256 5 




30 


3420 


472 


3459 


111 


6223 


512 


.244 0812 


9 220 


30 




6 3 


06 6 307 2 307 8 




40 
50 


3891 
4363 


471 
472 
472 


3348 
3237 


111 
111 
112 


6734 
7246 


511 
512 
512 


.243 1597 
.242 2385 


9215 
9212 
9208 


20 
10 




7 3 
8 4 
9 4 


57 7 358 4 359 1 
08 8 409 6 410 4 
59 9 460 8 461 7 


16 





0.229 4835 




0.973 3125 




0.235 7758 




4 241 3177 







44 


> 




10 


5307 


472 


3014 


111 


8270 


512 


.240 3973 


9 204 


50 








20 
30 
40 
50 


5779 
6251 
6723 
7195 


472 
472 
472 
472 
471 


2903 
2792 
2680 
2569 


111 
111 
112 
111 
111 


8781 
9293 
9805 
236 0317 


511 
512 
512 
512 
512 


239 4773 
.238 5576 
237 6383 
.2367194 


9200 
9197 
9193 
9189 
9185 


40 
30 
20 
10 




1 

3 


Cotangent 

9400 9300 

940 930 
18SO 1860 
2820 27'H) 


17 





229 7666 




0.973 2468 




0.236 0829 




4.235 8009 







43 


4 


3760 3720 




10 


8138 


472 


2346 


112 


1340 


511 


234 8828 


9 181 


50 




f) 


4700 4650 




20 
30 
40 


8610 
9082 
9554 


472 
472 
472 


2235 
2123 
2012 


111 
112 
111 


1852 
2364 
2876 


512 
512 
512 


233 9650 
233 0476 
.232 1306 


9 178 
9174 
9170 


40 
30 
20 




6 

7 
8 
9 


5640 5580 
6580 6510 
7520 7440 
8460 8370 




50 


230 0026 


472 
471 


1900 


112 
111 


3388 


512 
512 


.231 2140 


9 166 
9163 


10 




9200 9100 


18 





0.230 0497 




0.973 1789 




0.236 3900 




4.230 2977 







42 


1 


920 910 




10 
20 
30 
40 


0969 
1441 
1913 
2385 


472 
472 
472 
472 


1677 
1566 
1454 
1342 


112 
111 
112 
112 


4412 
4924 
5436 
5948 


512 
512 
512 
512 


.229 3818 
228 4663 
227 5512 
.226 6364 


9 159 
9155 
9151 
9148 


50 
40 
30 
20 




2 
3 
4 
5 
6 


1840 1820 
2760 2730 
3680 3640 
4600 4550 
5520 5460 




50 


2856 


471 
472 


1231 


111 
112 


6460 


512 
511 


.225 7220 


9 144 
9140 


10 




7 
8 


6440 6370 
7360 7280 


19 





0.230 3328 




973 1119 




0.236 6971 




4.224 8080 







41 


9 


8280 8190 




10 


3800 


472 


1007 


112 


7483 


512 


.223 8944 


9 136 


50 








20 


4272 


472 


0896 


111 


7995 


512 


.222 9811 


9 133 


40 








30 


4743 


471 


0784 


112 


8507 


512 


.222 0682 


9 129 


30 








40 


5215 


472 


0672 


112 


9019 


512 


.221 1557 


9 125 


20 








50 


5687 


472 


0561 


111 


9531 


512 


.220 2435 


9 122 


10 












472 




112 




513 




9 117 








20 





0.230 6159 




0.973 0449 




0.237 0044 




4.219 3318 







40 








Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


// 


' 


Proportional Parts 



76 40' 



SINES, COSINES, TANGENTS AND COTANGENTS 
13 20' 



81 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Piopoitional Parts 


20 





0.230 6169 




0.973 0449 




0.2370044 




4 219 3318 







40 






10 
20 


6630 
7102 


471 
472 


0337 
0225 


112 
112 


0556 
1068 


512 
512 


.218 4204 
217 5094 


9114 
9110 


50 
40 




Sine 




30 


7574 


472 


0113 


112 


1580 


512 


216 5987 


9 107 


30 




471 472 




40 
50 


8046 
8517 


472 
471 
472 


0001 
0.972 9889 


112 
112 
112 


2092 
2604 


512 
512 
512 


.215 6884 
214 7785 


9 103 
9099 
9095 


20 
10 




1 

3 
4 


! 47 1 47 2 
94 2 94 4 
141 3 141 6 

188 4 188 8 


21 



10 


0.230 8989 
9461 


472 


0.972 9777 
9666 


111 


0.237 3116 
3628 


512 


4 213 8690 
.212 9598 


9092 




50 


39 


5 
G 


235 5 236 

282 6 283 2 




20 
30 
40 


9932 
231 0404 
0876 


471 
472 
472 


9554 
9442 
9330 


112 
112 
112 


4140 
4652 
5165 


512 
512 
513 


.212 0510 
.211 1426 
.210 2345 


9 088 
9 084 
9 081 


40 
30 
20 




7 
8 

y 


329 7 330 4 
376 8 .377 
423 9 424 8 




50 


1348 


472 


9217 


113 


5677 


512 


.209 3269 


9 076 


10 












471 




112 




512 




9 073 








22 



10 
20 
30 


0.231 1819 
2291 
2763 
3234 


472 
472 
471 


0.972 9106 
8993 
8881 
8769 


112 
112 
112 


0.237 6189 
6701 
7213 
7726 


512 
512 
513 


4 208 4196 
207 5126 
206 6060 
205 6998 


9 070 
9 066 
9062 



50 
40 
30 


38 


i 


Cosine 

111 112 

11 1 11 2 

22 2 22 4 




40 


3706 


472 


8657 


112 


8238 


512 


204 7940 


9 058 


20 




3 


33 3 3-J 6' 




50 


4178 


472 


8545 


112 


8750 


512 


203 8886 


9 054 


10 




4 


44 4 }4 8 








471 




113 




512 




9051 






,') 


55 5 50 


23 



10 
20 


231 4649 
5121 

5593 


472 
472 


972 8432 
8320 
8208 


112 
112 


237 9262 
9775 
238 0287 


513 
512 


4.202 9835 
.202 0787 
.201 1744 


9048 
9043 



50 
40 


37 


t> 

s 

( J 


00 07 2 

77 7 78 4 
88 8 89 6 
90 9 100 8 




30 


6064 


471 


8096 


112 


0799 


512 


.200 2704 


9 040 


30 








40 


6536 


472 


7983 


113 


1311 


512 


.199 3668 


9036 


20 




113 114 




50 


7007 


471 


7871 


112 


1824 


513 


.198 4635 


9 033 


10 




1 


11 3 11 4 








472 




112 




512 




9029 










24 





231 7479 




972 7769 




238 2336 




4 197 6606 







36 


\ 


33 9 34 2 
45 2 1") 6 




10 


7951 


472 


7646 


113 


2848 


512 


.196 6581 


9 025 


50 






5*3 5 57 




20 


8422 


471 


7534 


112 


3361 


513 


.195 7560 


9021 


40 




'!} 


07 8 08 4 




30 
40 
50 


8894 
9365 
9837 


472 
471 
472 


7422 
7309 
7197 


112 
113 
112 


3873 
4385 
4898 


512 
512 
513 


.194 8542 
.193 9528 
.193 0517 


9018 
9014 
9011 


30 
20 
10 




8 
9 


79 1 79 8 
W 4 91 2 
101 7 102 6 








472 




113 




512 




9007 








25 





0.232 0309 




972 7084 




0.238 6410 




4.192 1510 







35 






10 
20 


0780 
1252 


471 
472 


6972 
6859 


112 
113 


5923 
6435 


513 
512 


.191 2507 
.1903508 


9003 
8999 


50 
40 




Tangent 




30 


1723 


471 


6747 


112 


6947 


512 


.1894512 


8996 


30 




512 513 




40 
50 


2195 
2666 


472 
471 


6634 
6521 


113 
113 


7460 
7972 


513 
512 


.188 5520 
.187 6531 


8992 
8989 


20 
10 




1 

3 


M 2 !>1 .{ 
102 4 102 
153 153 9 








472 




112 




513 




8985 






4 


201 8 205 2 


26 





232 3138 




972 6409 




238 8485 




4 186 7546 







34 


r ( 


250 256 5 




10 


3610 


472 


6296 


113 


8997 


512 


.185 8565 


8981 


50 




6 


307 2 307 8 




20 
30 


4081 
4553 


471 
472 


6184 
6071 


112 
113 


9510 
0.239 0022 


513 
512 


.184 9587 
184 0614 


8978 
8973 


40 
30 




7 
8 
9 


358 4 359 1 
409 410 t 
460 8 461 7 




40 


5024 


471 


5958 


113 


0535 


513 


.183 1643 


8971 


20 








50 


5496 


472 


5845 


113 


1047 


512 


182 2677 


8966 


10 












471 




112 




513 




8964 








27 



10 
20 
30 


232 6967 
6439 
6910 
7382 


472 
471 
472 


972 6733 
5620 
5507 
5394 


113 
113 
113 


0.239 1560 
2072 
2585 
3098 


512 
513 
513 


4.181 3713 
180 4754 
.179 5798 
178 6846 


8959 
8956 
8952 



50 
40 
30 


33 


( 

1 


Dotangent 

)100 9000 

910 900 
1820 1800 




40 


7853 


471 


5281 


113 


3610 


512 


177 7898 


8 948 


20 




3 


2730 2700 




50 


8325 


472 
471 


5169 


112 
113 


4123 


513 
512 


.1768953 


8945 
8942 


10 




4 


J640 3600 
1550 4500 


28 



10 


0.232 8796 
9268 


472 


0.972 6056 
4943 


113 


0.239 4635 
5148 


513 


4 176 0011 
175 1074 


8937 



50 


32 


fi 
7 
8 


5160 5400 
>370 0300 
7280 7200 




20 


9739 


471 


4830 


113 


5661 


513 


174 2140 


8934 


40 




9 


U90 8100 




30 
40 
50 


02330211 
0682 
1154 


472 
471 
472 
471 


4717 
4604 
4491 


113 
113 
113 
113 


6173 
6686 
7199 


512 
513 
513 
512 


173 3209 
.172 4282 
.171 5359 


8931 
8927 
8923 
8919 


30 
20 
10 




1 

1 


1900 8800 

890 880 
1780 1760 


29 





0.233 1626 




0.972 4378 




0.239 7711 




4.170 6440 







31 


3 
4 


2670 2b'40 
J500 3520 




10 


2096 


471 


4265 


113 


8224 


513 


169 7524 


8 916 


50 






1450 4400.0 




20 


2568 


472 


4152 


113 


8737 


513 


1688611 


8913 


40 




6 


r )340 5280 




30 
40 
50 


3039 
3511 
3982 


471 
472 
471 


4039 
3926 
3812 


113 
113 
114 


9249 
9762 
240 0275 


512 
513 
513 


167 9702 
.167 0797 
.166 1896 


8909 
8905 
8901 


30 
20 
10 




7 
8 
9 


6230 6160 
7120 7040 
8010 7920 








472 




113 




513 




8898 








30 





0.233 4464 




0.972 3699 




0.240 0788 




4.165 2998 







30 








Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional PartH 



76 30' 



82 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
13 30' 



' 


" 


Sine 


Diff 


GOBI no 


Diff 


Tangent 


Diff 


Cotangent , 


Diff. 






Proportional Parts 


30 





0.233 4464 




0.972 3699 




0.240 0788 




4 165 2998 







30 








10 


4925 


471 


3586 


113 


1300 


512 


.164 4103 


8 895 


50 










20 


5396 


471 


3473 


113 


1813 


513 


.163 5212 


8 891 


40 










30 


5868 


472 


3360 


113 


2326 


513 


.162 6325 


8887 


30 










40 
50 


6339 
6811 


471 
472 


3246 
3133 


114 
113 


2839 
3352 


513 
513 


.161 7442 
160 8562 


8883 
8880 


20 
10 






Sine 








471 




113 




512 




8 877 








471 472 


31 





0.233 7282 




0.972 3020 




0.240 3864 




4.159 9685 







29 


1 


47 1 47 2 




10 


7753 


471 


2906 


114 


4377 


513 


.1590812 


8 873 


50 






94 2 94 4 




20 
30 
40 
50 


8225 
8696 
9168 
9639 


472 
471 
472 
471 


2793 
2680 
2566 
2453 


113 
113 
114 
113 


4890 
5403 
5916 
6429 


513 
513 
513 
513 


.158 1943 
.1573077 
.1564215 
.155 5356 


8869 
8866 
8862 
8859 


40 
30 
20 
10 




3 
4 

6 

7 


141 3 HI 6 

188 4 188 8 
235 5 236 
282 6 283 2 
329 7 330 4 








471 




114 




513 




8855 






8 


370 8 377 6 


32 





234 0110 




0.972 2339 




0.240 6942 




4.154 6601 







28 


9 


423 9 424 8 




10 


0582 


472 


2226 


113 


7454 


512 


.153 7650 


8 851 


50 










20 


1053 


471 


2112 


114 


7967 


513 


.152 8802 


8848 


40 










30 
40 


1524 
1996 


471 
472 


1999 
1885 


113 
114 


8480 
8993 


513 
513 


.151 9958 
.151 1117 


8844 
8841 


30 
20 






Cosine 




50 


2467 


471 


1772 


113 


9506 


513 


.1502280 


8837 


10 




113 114 115 








471 




114 




513 




8834 






1 11 


3 11 4 11 5 


33 



10 
20 
30 


234 2938 
3410 
3881 
4352 


472 
471 
471 


972 1658 
1545 
1431 
1317 


113 
114 
114 


241 0019 
0532 
1045 
1558 


513 
513 
513 


4 149 3446 
.1484616 
.147 5789 
.1466966 


8830 
8827 
8823 



50 
40 
30 


27 


2 22 22 8 2,3 
3 33 9 1 } A '2 34 5 
4 45 2 45 6 46 
5 5fi 5 57 57 5 
b 07 8 68 4 69 




40 
50 


4824 
5295 


472 
471 
471 


1204 
1090 


113 
114 
114 


2071 
2584 


513 
513 
513 


.145 8147 
.1449331 


8819 
8816 
8812 


20 
10 




7 79 1 79 8 80 5 
8 90 4 91 2 92 
101 7 102 6 103 5 


34 





234 5766 




972 0976 




0.241 3097 




4.144 0619 







26 








10 


6237 


471 


0863 


113 


3610 


513 


143 1710 


8 809 


50 










20 
30 
40 
50 


6709 
7180 
7651 
8122 


472 
471 
471 
471 
472 


0749 
0635 
0521 
0407 


114 
114 
114 
114 
113 


4123 
4636 
5149 
5663 


513 
513 
513 
514 
513 


.142 2905 
141 4103 
.140 5305 
.1396510 


8805 
8802 
8798 
8795 
8791 


40 
30 
20 
10 




Tangent 

512 513 514 

1 51 2 51 3 51 4 
2 102 4 102 102 8 
3 153 1) 153 9 154 2 


36 





0.234 8694 




0.972 0294 




0.241 6176 




4 138 7719 







25 


4 204 8 20) 2 205 6 




10 


9065 


471 


0180 


114 


6689 


513 


.137 8931 


8 788 


50 




5 25 


i 256 5 257 




20 


9536 


471 


0066 


114 


7202 


513 


.1370147 


8 784 


40 




(> 307 2 307 8 308 4 




30 
40 


235 0007 
0479 


471 
472 


0.971 9952 
9838 


114 
114 


7715 
8228 


513 
513 


.136 1366 
135 2589 


8 781 
8777 


30 
20 




7 358 1 359 1 359 8 
8 4(H) 6 410 4 411 2 
9 160 8 461 7 462 6 




50 


0950 


471 


9724 


114 


8741 


513 


.1343816 


8 773 


10 














471 




114 




514 




8 770 










36 





235 1421 




971 9610 




0.241 9266 




4 133 5046 







24 








10 
20 
30 
40 


1892 
2364 
2835 
3306 


471 
472 
471 
471 


9496 
9382 
9268 
9154 


114 
114 
114 
114 


9768 
0.242 0281 
0794 
1307 


513 
513 
513 
513 


132 6279 
.131 7516 
.130 8757 
130 0001 


8 767 
8763 
8759 
8756 


50 
40 
30 
20 




1 


Cotangent 

8900 8800 

890 880 
17SO 1700 




50 


3777 


471 


9040 


114 


1821 


514 


129 1248 


8 753 


10 




3 


2)70 J,l<) 








471 




114 




513 




8 749 






4 


3 ">()() 3520 


37 



10 
20 


235 4248 
4720 
5191 


472 
471 


0.971 8926 
8811 
8697 


115 
114 


0.242 2334 
2847 
3361 


513 
514 


4 128 2499 
.1273754 
126 5012 


8745 
8742 



50 
40 


23 


b 
8 


tr>0 4400 
V.ll) 52NO 
I)J3() 0100 
7120 7010 




30 


5662 


471 


8583 


114 


3874 


513 


.125 6273 


8 739 


30 




9 


8010 7920 




40 


6133 


471 


8469 


114 


4387 


513 


.1247538 


8 735 


20 










50 


6604 


471 
471 


8355 


114 
115 


4900 


513 

514 


.123 8807 


8731 
8728 


10 




1 


8700 8600 

870 Hb() 


38 



10 
20 
30 


235 7075 
7547 
8018 
8489 


472 
471 
471 


971 8240 
8126 
8012 
7897 


114 
114 
115 


242 6414 
5927 
6440 
6954 


513 
513 
514 


4.123 0079 
.122 1354 
.121 2633 
.1203916 


8725 
8721 
8717 



50 
40 
30 


22 


3 
I 




mo o 1720 o 

2010 2580 
3180 3440 
4350 4300 
5220 5160 




40 
50 


8960 
9431 


471 
471 
471 


7783 
7669 


114 
114 
115 


7467 
7981 


513 
514 
513 


.119 5202 
.118 6491 


8714 
8711 
8707 


20 
10 




7 
8 
9 


0090 0020 
09bO 6880 
7830 7740 


39 





235 9902 




0.971 7554 




0.242 8494 




4.117 7784 







21 








10 


236 0373 


471 


7440 


114 


9007 


513 


.116 9080 


8 704 


50 










20 


0844 


471 


7325 


115 


9521 


514 


.1160380 


8 700 


40 










30 


1316 


472 


7211 


114 


0.243 0034 


513 


.115 1684 


8 696 


30 










40 


1787 


471 


7096 


115 


0548 


514 


.1142990 


8 694 


20 










50 


2258 


471 


6982 


114 


1061 


513 


.113 4301 


8 689 


10 














471 




115 




514 




8687 










40 





0.236 2729 




0.971 6867 




0.243 1575 




4.112 6614 







20 










Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



76 20' 



SINES, COSINES, TANGENTS AND COTANGENTS 
13 40' 



83 



' 


" 


Sine 


Diff 


Cosine 


DifT 


Tangent 


Diff 


Cotangent 


DifT 






Proportional Parts 


40 





0.236 2729 




0.971 6867 




0.243 1575 




4.112 5614 







20 






10 


3200 


471 


6753 


114 


2088 


513 


.111 6932 


8682 


50 








20 


3671 


471 


6638 


115 


2602 


514 


.1108252 


8680 


40 








30 


4142 


471 


6524 


114 


3115 


513 


.109 9576 


8676 


30 








40 


4613 


471 


6409 


115 


3629 


514 


.109 0904 


8672 


20 








50 


5084 


471 
471 


6294 


115 
114 


4142 


513 
514 


.108 2235 


8669 
8666 


10 




Sine 


41 





0.236 5555 




0.971 6180 




0.243 4656 




4.107 3669 







19 


470 471 




10 
20 


6026 
6497 


471 
471 


6065 
5950 


115 
115 


5169 
5683 


513 
514 


.106 4907 
.105 6249 


8662 
8658 


50 
40 




1 47 47 1 
2 94 94 2 




30 
40 
50 


6968 
7439 
7910 


471 
471 
471 
471 


5836 
5721 
5606 


114 
115 
115 
115 


6196 
6710 
7224 


513 
514 
514 
513 


.104 7593 
.103 8942 
.103 0293 


8656 
8651 
8649 
8644 


30 
20 
10 




3 141 141 3 

4 188 188 4 
5 235 235 fl 
6 282 282 6 
7 329 329 7 


42 





0.236 8381 




0.971 5491 




0.243 7737 




4.102 1649 







18 


8 376 370 8 




10 


8852 


471 


5376 


115 


8251 


514 


.101 3007 


8 42 


50 




9 423 423 9 




20 


9323 


471 


5262 


114 


8765 


514 


.100 4369 


8638 


40 








30 


9794 


471 


5147 


115 


9278 


513 


.099 5735 


8634 


30 








40 
50 


237 0265 
0736 


471 
471 


5032 
4917 


115 
115 


9792 
0.244 0306 


514 
514 


.098 7104 
.097 8476 


8631 
8628 


20 
10 




Cosine 








471 




115 




513 




8624 






114 115 116 


43 





0.237 1207 




0.971 4802 




0.244 0819 




4.096 9852 







17 


1 11 4 11 5 11 6 




10 
20 
30 
40 


1678 
2149 
2620 
3091 


471 
471 
471 
471 


4687 
4572 
4457 
4342 


115 
115 
115 
115 


1333 

1847 
2360 
2874 


514 
514 
513 
514 


.096 1231 
.095 2613 
.094 3999 
093 5389 


8 621 
8618 
8614 
8610 


50 
40 
30 
20 




2 22 8 23 23 2 
3 34 2 34 5 34 8 
4 45 40 40 4 
5 57 57 5 58 
08 4 60 09 




50 


3562 


471 
471 


4227 


115 
115 


3388 


514 
514 


.092 6782 


8 607 
8604 


10 




7 79 8 80 5 81 2 
8 Ql 2 92 92 8 


44 





0.237 4033 




0.971 4112 




0.244 3902 




4 091 8178 







16 


9 102 6 103 5 101 4 




10 


4504 


471 


3997 


115 


4415 


513 


.090 9577 


8 601 


50 








20 


4975 


471 


3881 


116 


4929 


514 


.090 0981 


8 596 


40 








30 
40 
50 


5446 
5917 
6388 


471 
471 
471 


3766 
3651 
3536 


115 
115 
115 


5443 
5957 
6471 


514 
514 
514 


.089 2387 
.088 3797 
.087 5210 


8 594 
8590 
8587 


30 
20 
10 




Tangent 

513 514 515 








471 




115 




513 




8583 






1 51 3 51 4 51 5 


45 



10 


0.237 6859 
7330 


471 


0.971 3421 
3305 


116 


0.244 6984 
7498 


514 


4.086 6627 
.085 8047 


8580 



50 


16 


'2 102 () 102 8 103 
3 HJ 9 151 2 131 5 
4 "<)> 2 205 b L'Oh 




20 


7801 


471 


3190 


115 


8012 


514 


.084 9471 


8576 


40 




5 2")t> 5 257 257 5 




30 
40 
50 


8272 
8743 
9213 


471 
471 
470 


3075 
2960 
2844 


115 
115 
116 


8526 
9040 
9554 


514 
514 
514 


.084 0897 
083 2328 
.082 3761 


8 574 
8569 
8567 


30 
20 
10 




{07 8 308 4 309 
7 r>9 1 359 S .{()() 5 
8 410 4 411 2 112 
9 401 7 402 403 5 








471 




115 




514 




8 562 








46 





237 9684 




0.971 2729 




0.245 0068 




4.081 5199 







14 






10 


238 0155 


471 


2614 


115 


0582 


514 


.080 6639 


8 560 


50 








20 
30 
40 
50 


0626 
1097 
1568 
2039 


471 
471 
471 
471 


2498 
2383 
2267 
2152 


116 
115 
116 
115 


1096 
1610 
2123 
2637 


514 
514 
513 
514 


.079 8083 
.078 9530 
.078 0981 
.077 2435 


8 556 
8553 
8549 
8546 


40 
30 
20 
10 




Cotangent 

8700 8600 

1 870 800 
2 1710 1720 








471 




116 




514 




8 543 






3 2010 2 r )80 


47 





0.238 2510 




0.971 2036 




0.245 3151 




4 076 3892 







13 


1 3480 3440 




10 
20 
30 


2980 
3451 
3922 


470 
471 
471 


1921 
1805 
1690 


115 
116 
115 


3665 
4179 
4693 


514 
514 
514 


.075 5353 
074 6817 
073 8284 


8 539 
8536 
8533 


50 
40 
30 




5 4350 1300 
G 5220 5100 
7 0090 0020 
8 0900 (>S80 




40 


4393 


471 


1574 


116 


5207 


514 


072 9755 


8 529 


20 




9 7830 77 JO 




50 


4864 


471 
471 


1458 


116 
115 


5722 


515 
514 


.072 1230 


8 525 
8523 


10 




8500 8400 


48 



10 
20 


238 5335 
5805 
6276 


470 
471 


0.971 1343 
1227 
1111 


116 
116 


0.245 6236 
6750 
7264 


514 
514 


4.071 2707 
.070 4188 
069 5672 


8519 
8516 



50 
40 


12 


1 850 840 
2 1700 1080 
3 2550 2520 
4 3400 3300 




30 


6747 


471 


0996 


115 


7778 


514 


.068 7160 


8 512 


30 




5 4250 4200 




40 
50 


7218 
7689 


471 
471 
470 


0880 
0764 


116 
116 
115 


8292 
8806 


514 
514 
514 


.067 8651 
067 0146 


8 509 
8505 
8503 


20 
10 




6 5100 5040 
7 5950 5880 
8 0800 0720 


49 





238 8159 




0.971 0649 




0.246 9320 




4.066 1643 







11 


9 7050 7560 




10 


8630 


471 


0533 


116 


9834 


514 


.065 3144 


8499 


50 








20 


9101 


471 


0417 


116 


246 0348 


514 


.0644649 


8 495 


40 








30 


9572 


471 


0301 


116 


0863 


515 


.063 6157 


8492 


30 








40 


0.239 0042 


470 


0185 


116 


1377 


514 


.062 7668 


8 489 


20 








50 


0513 


471 


0069 


116 


1891 


514 


.061 9182 


8486 


10 












471 




116 




514 




8 482 








50 





0.239 0984 




0.970 9963 




0.246 2405 




4.061 0700 







10 








Cosine 


DifT 


Smo 


Diff 


Cotangent 


Diff 


Tangent 


DifT 


" 


' 


Propoitional Parts 



76 10' 



84 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
13 60' 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 


60 





0.239 0984 




0.970 9963 




0.246 2405 




4.061 0700 







10 






10 
20 


1455 
1925 


471 
470 


9837 
9722 


116 
115 


2919 
3434 


514 
515 


.060 2221 
.059 3746 


8479 
8475 


50 
40 




Sine 




30 


2396 


471 


9606 


116 


3948 


514 


.058 5274 


8472 


30 




470 471 




40 


2867 


471 


9490 


116 


4462 


514 


057 6805 


8469 


20 




i 


47 47 1 




50 


3338 


471 
470 


9374 


116 
116 


4976 


514 
515 


.056 8339 


8466 
8462 


10 




2 
3 


94 94 2 
141 141 3 


51 



10 
20 


0.239 3808 
4279 
4750 


471 
471 


0.970 9268 
9141 
9025 


117 
116 


0.246 5491 
6005 
6519 


514 
514 


4.055 9877 
.055 1418 
.054 2963 


8459 
8455 



50 
40 


9 


4 
5 
C 


188 188 4 
235 235 5 
282 282 6 
329 329 7 




30 
40 


5221 
5691 


471 
470 


8909 
8793 


116 
116 


7034 
7548 


515 
514 


.0534511 
.052 6062 


8 452 
8449 


30 
20 




8 


37b 370 8 
423 423 9 




50 


6162 


471 


8677 


116 


8062 


514 


.051 7616 


8446 


10 












471 




116 




515 




8442 








52 



10 


0.239 6633 
7103 


470 


970 8561 
8445 


116 


0.246 8677 
9091 


514 


4.050 9174 
.050 0735 


8439 



50 


8 


Cosine 




20 


7574 


471 


8328 


117 


9605 


514 


049 2299 


8 436 


40 




115 116 




30 
40 


8045 
8515 


471 
470 


8212 
8096 


116 
116 


247 0120 
0634 


515 
514 


.048 3867 
047 5438 


8432 
8429 


30 
20 




i 


11 5 11 

2j 23 2 
34 5 31 8 




50 


8986 


471 


7980 


116 


1149 


515 


.046 7012 


8426 


10 




\ 


40 40 4 








471 




117 




514 




8422 






r 


57 5 58 


63 





0.239 9457 




0.970 7863 




0.247 1663 




4.046 8590 







7 


b 


0<) 09 




10 
20 
30 


9927 
240 0398 
0869 


470 
471 
471 


7747 
7630 
7514 


116 
117 
116 


2177 
2692 
3206 


514 
515 
514 


.045 0170 
044 1755 
043 3343 


8420 
8415 
8412 


50 
40 
30 




8 
9 


80 5 81 2 
92 92 8 
103 5 104 4 




40 


1339 


470 


7398 


116 


3721 


515 


.042 4934 


8 409 


20 




117 118 




50 


1810 


471 


7281 


117 


4235 


514 


041 6528 


8 406 


10 




1 


11 7 11 8 








470 




116 




515 




8 403 








23 I 23 


64 





0.240 2280 




0.970 7165 




0.247 4760 




4 040 8125 







6 


3 


35 1 35 4 




10 
20 
30 


2751 
3222 
3692 


471 
471 
470 


7048 
6932 
6815 


117 
116 
117 


5264 
5779 
6293 


514 
515 
514 


039 9726 
039 1330 
.038 2937 


8 399 
83% 
8393 


50 
40 
30 




4 

b 


40 8 47 2 
58 5 59 
70 2 70 8 

81 9 82 




40 
50 


4163 
4633 


471 
470 


6699 
6582 


116 
117 


6808 
7322 


515 
514 


.037 4548 
.036 6162 


8 389 
8386 


20 
10 




8 


l 3 b 94 4 
105 3 100 2 








471 




116 




515 




8383 








55 





0.240 6104 




0.970 6466 




0.247 7837 




4 035 7779 







5 






10 
20 


5575 
6045 


471 
470 


6349 
6232 


117 
117 


8352 
8866 


515 
514 


034 9399 
.034 1023 


8 380 
8376 


50 
40 




Tangent 




30 


6516 


471 


6116 


116 


9381 


515 


.033 2650 


8 373 


30 




514 515 




40 


6986 


470 


5999 


117 


9895 


514 


032 4280 


8 370 


20 




i 


51 4 51 5 




50 


7457 


471 
470 


5882 


117 
116 


0.248 0410 


515 
515 


031 5914 


8 366 
8364 


10 




% 3 


102 8 103 
154 2 154 5 


66 



10 


0.240 7927 
8398 


471 


0.970 5766 
5649 


117 


0.248 0925 
1439 


514 


4.030 7650 
.029 9190 


8360 



50 


4 


> 4 

b 


205 b 200 
257 257 5 
308 4 309 




20 


8869 


471 


5532 


117 


1954 


515 


029 0834 


8 356 


40 






',59 8 300 5 




30 
40 


9339 
9810 


470 
471 


5415 
5298 


117 
117 


2469 
2983 


515 
514 


028 2480 
027 ,4130 


8 354 
8350 


30 
20 




8 


lit 2 412 
102 b 403 5 




50 


241 0280 


470 


5182 


116 


3498 


515 


.026 5783 


8 347 


10 












471 




117 




515 




8343 








57 



10 


0.241 0761 
1221 


470 


0.970 5065 
4948 


117 


0.248 4013 
4528 


515 


4.025 7440 
024 9099 


8341 



50 


3 


Cotangent 




20 


1692 


471 


4831 


117 


5042 


514 


.024 0762 


8 337 


40 




8500 8400 




30 
40 
50 


2162 
2633 
3103 


470 
471 
470 


4714 
4597 
4480 


117 
117 
117 


5557 
6072 
6587 


515 
515 
515 


023 2428 
022 4098 
.021 5770 


8 334 
8330 
8328 


30 
20 
10 




i 

3 
4 


850 840 
1700 1080 
2550 2520 
MOO 3300 








471 




117 




515 




8324 


































5 


4250 4200 


58 





0.241 3574 




0.970 4363 




0.248 7102 




4.020 7446 







2 


b 


5100 5040 




10 
20 
30 


4044 
4515 
4985 


470 
471 
470 


4246 
4129 
4012 


117 
117 
117 


7616 
8131 
8646 


514 
515 
515 


.019 9125 
.019 0808 
.018 2493 


8321 
8317 
8315 


50 
40 
30 




8 
9 


5950 5880 
0800 6720 
7050 7500 




40 


5455 


470 


3895 


117 


9161 


515 


.017 4182 


8311 


20 




8300 8200 




50 


5926 


471 


3778 


117 


9676 


515 


.016 5874 


8308 


10 




1 


830 820 








470 




117 




515 




8304 






2 


IGbO 1640 


59 



10 
20 
30 


0.241 6396 
6867 
7337 
7808 


471 
470 
471 


0.970 3661 
3543 
3426 
3309 


118 
117 
117 


0.249 0191 
0705 
1220 
1735 


514 
515 
515 


4.015 7570 
.014 9268 
.014 0970 
.013 2675 


8302 
8298 
8295 



50 
40 
30 


1 


3 
4 
5 
6 
7 


2490 2400 
3320 3280 
4150 4100 
4980 4920 
5810 5740 




40 
50 


8278 
8749 


470 
471 


3192 
3075 


117 
117 


2250 
2765 


515 
515 


.012 4383 
.011 6095 


8292 
8288 


20 
10 




8 
9 


6040 6560 
7470 7380 








470 




118 




515 




8286 








60 





0.241 9219 




0.970 2957 




0.249 3280 




4.010 7809 
















Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



76 00' 



SINES, COSINES, TANGENTS AND COTANGENTS 
14 0' 



85 



' 


" 


Sine 


Dill 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff. 






Proportional Parts 








0.241 9219 




0.970 2957 




0.249 3280 




4.010 7809 







60 






10 


9689 


470 


2840 


117 


3795 


515 


009 9527 


8282 


50 








20 


242 0160 


471 


2723 


117 


4310 


515 


0091248 


8279 


40 








30 


0630 


470 


2605 


118 


4825 


515 


.008 2973 


8275 


30 








40 


1101 


471 


2488 


117 


5340 


515 


007 4700 


8273 


20 








50 


1571 


470 


2371 


117 


5855 


515 


.0066431 


8269 


10 












470 




118 




515 




8266 






Sine 


1 



10 
20 


0.242 2041 
2512 
2982 


471 
470 


0.970 2253 
2136 
2018 


117 
118 


0.249 6370 
6885 
7400 


515 
515 


4 005 8165 
.004 9902 
0041643 


8263 
8259 



50 
40 


69 


i 


470 471 

47 47 1 

94 94 2 




30 


3452 


470 


1901 


117 


7915 


515 


003 3386 


8257 


30 




3 


141 141 3 




40 


3923 


471 


1783 


118 


8430 


515 


.002 5133 


8253 


20 




4 


188 188 4 




50 


4393 


470 
470 


1666 


117 
118 


8945 


515 
515 


.001 6883 


8250 
8247 


10 




5 

6 


235 235 5 
282 282 6 


2 



10 


0.242 4863 
5334 


471 


0.970 1548 
1431 


117 


0.249 9460 
9975 


515 


4.000 8636 
000 0393 


8243 



50 


68 


7 

8 
9 


329 329 7 
376 376 8 
423 423 9 




20 


5804 


470 


1313 


118 


250 0491 


516 


3 999 2152 


8241 


40 








30 


6275 


471 


1195 


118 


1006 


515 


.998 3915 


8237 


30 








40 
50 


6745 
7215 


470 
470 


1078 
0960 


117 
118 


1521 
2036 


515 
515 


.997 5681 
.996 7450 


8234 
8231 


20 
10 




Cosine 








470 




118 




515 




8227 






117 118 119 


3 



10 


242 7685 
8156 


471 


0.970 0842 
0725 


117 


0.260 2551 
3066 


515 


3.995 9223 
.995 0998 


8225 



50 


57 


1 11 7 11 8 11 9 

'2 23 4 23 6 23 8 




20 
30 


8626 
9096 


470 
470 


0607 
0489 


118 
118 


3582 
4097 


516 
515 


.994 2777 
993 4559 


8 221 
8218 


40 
30 




3 35 1 35 4 35 7 
4 40 8 47 2 47 6 




40 
50 


9567 
243 0037 


471 
470 


0371 
0254 


118 
117 


4612 
5127 


515 
515 


.992 6344 
.991 8132 


8215 
8212 


20 
10 




5 58 5 59 59 5 
6 70 2 70 8 71 4 
7 81 9 82 6 83 3 








470 




118 




515 




8208 






8 93 6 94 4 95 2 


4 





0.243 0507 




0.970 0136 




0.250 5642 




3.990 9924 







56 


9 105 3 106 2 107 1 




10 


0977 


470 


0018 


118 


6158 


516 


.990 1719 


8205 


50 








20 


1448 


471 


0.969 9900 


118 


6673 


515 


.989 3516 


8203 


40 








30 
40 


1918 
2388 


470 
470 


9782 
9664 


118 
118 


7188 
7704 


515 
516 


.988 5317 
.987 7122 


8 199 
8195 


30 
20 




Tangent 




50 


2859 


471 


9546 


118 


8219 


515 


.986 8929 


8 193 


10 




515 516 








470 




118 




515 




8190 






1 


51 f> 51 6 


5 



10 
20 
30 
40 


243 3329 
3799 
4269 
4739 
5210 


470 
470 
470 
471 


0.969 9428 
9310 
9192 
9074 
8956 


118 
118 
118 
118 


0.250 8734 
9250 
9765 
0.251 0280 
0796 


516 
515 
515 
516 


3.986 0739 
.985 2553 
.984 4370 
983 6190 
.982 8013 


8186 
8183 
8180 
8177 



50 
40 
30 
20 


55 


3 
4 

5 


7 


103 103 2 
154 5 154 8 
206 206 4 
257 5 258 
309 309 6 
360 f> 361 2 




50 


5680 


470 
470 


8838 


118 
118 


1311 


515 
515 


.981 9839 


8174 
8170 


10 




8 
9 


412 412 8 
463 5 46d 4 


6 





243 6150 




969 8720 




0.251 1826 




3.981 1669 







54 






10 


6620 


470 


8602 


118 


i 2342 


516 


.980 3501 


8 168 


50 








20 
30 


7091 
7561 


471 
470 


8484 
8366 


118 
118 


2857 
3373 


515 
516 


.979 5337 
.978 7176 


8 164 
8161 


40 
30 




Cotangent 




40 


8031 


470 


8248 


118 


3888 


515 


.977 9018 


8158 


20 




{ 8300 8200 




50 


8501 


470 
470 


8129 


119 
118 


4404 


516 
515 


.977 0863 


8155 
8151 


10 




i 

2 


830 820 
1660 18 JO 


7 



10 
20 


0.243 8971 
9441 
9912 


470 
471 


0.969 8011 
7893 
7775 


118 
118 


0.251 4919 
5435 
5950 


516 
515 


3.976 2712 
.975 4563 
.974 6418 


8149 
8145 




50 
40 


53 


3 
4 

5 



2490 2160 
3320 3280 
1150 4100 
4980 4920 




30 
40 
50 


0.244 0382 
0852 
1322 


470 
470 
470 


7656 
7538 
7420 


119 
118 
118 


6466 
6981 
7497 


516 
515 
516 


.973 8276 
.973 0137 
.972 2001 


8 142 
8139 
8136 


30 
20 
10 




7 
8 
9 


")810 5740 
6040 6560 
7470 7380 








470 




119 




515 




8 133 








8 



10 


0.244 1792 
2262 


470 


969 7301 
7183 


118 


251 8012 
8528 


516 


3.971 3868 
.970 5738 


8130 



50 


62 


1 


B100 BOOO 

810 800 
1620 1600 




20 
30 
40 
50 


2732 
3203 
3673 
4143 


470 
471 
470 
470 


7064 
6946 
6828 
6709 


119 
118 
118 
119 


9043 
9559 
0.252 0074 
0590 


515 
516 
515 
516 


.9697611 
.968 9488 
.968 1368 
.967 3251 


8 127 
8123 
8120 
8117 


40 
30 
20 
10 




4 

5 
6 

7 


2130 2400 
12 10 3200 
4050 4000 
4860 4800 
5670 5600 








470 




118 




516 




8 114 






8 


6480 6400 


9 





0.244 4613 




0.969 6591 




0.252 1106 




3.966 6137 







51 


9 


7290 7200 




10 


5083 


470 


6472 


119 


1621 


515 


.965 7026 


8 111 


50 








20 


5553 


470 


6353 


119 


2137 


516 


.964 8918 


8 108 


40 








30 


6023 


470 


6235 


118 


2653 


516 


.964 0813 


8 105 


30 








40 


6493 


470 


6116 


119 


3168 


515 


.9632711 


8 102 


20 








50 


6963 


470 


5998 


118 


3684 


516 


.962 4613 


8098 


10 












470 




119 




516 




8095 








10 





0.244 7433 




0.969 5879 




0.252 4200 




3.961 6618 







50 








Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Pioportumal Parts 



75 50' 



86 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
14 10' 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 


10 



10 


0.244 7433 
7904 


471 


0.969 5879 
5760 


119 


0.252 4200 
4715 


515 


3.961 6518 
.960 8425 


8093 



50 


50 






20 


8374 


470 


5642 


118 


5231 


516 


.960 0336 


8089 


40 








30 
40 


8844 
9314 


470 
470 


5523 
5404 


119 
119 


5747 
6263 


516 
516 


.959 2250 
.958 4167 


8086 
8083 


30 
20 








50 


9784 


470 
470 


5285 


119 
118 


6778 


515 
516 


.957 6087 


8080 
8076 


10 




Sine 


11 



10 
20 


0.245 0254 
0724 
1194 


470 
470 


969 5167 
5048 
4929 


119 
119 


0.262 7294 
7810 
8326 


516 
516 


3.956 8011 
.955 9937 
.955 1866 


8074 
8071 



50 
40 


49 


469 470 471 

1 46 9 47 47 1 
2 93 8 94 94 2 




30 
40 
50 


1664 
2134 
2604 


470 
470 
470 
470 


4810 
4691 
4572 


119 
119 
119 
119 


8841 
9357 
9873 


515 
516 
516 
516 


.954 3799 
.953 5735 
.952 7673 


8067 
8064 
8062 
8058 


30 
20 
10 




3 140 7 141 141 3 

4 187 6 188 188 4 
5 234 5 235 23 r > 5 
6 281 4 282 282 6 


12 



10 


0.245 3074 
3544 


470 


0.969 4463 
4335 


118 


0.253 0389 
0905 


516 


3.951 9616 
951 1560 


8055 



50 


48 


7 328 3 329 329 7 
8 375 2 376 376 8 
9 422 1 423 423 9 




20 


4014 


470 


4216 


119 


1421 


516 


.950 3508 


8052 


40 








30 


4484 


470 


4097 


119 


1937 


516 


.949 5459 


8049 


30 








40 
50 


4954 
5424 


470 
470 


3978 
3859 


119 
119 


2453 
2968 


516 
515 


.948 7413 
.947 9371 


8046 
8042 


20 
10 




Cosine 








470 




119 




516 




8040 






118 119 120 


13 





0.245 5894 




0.969 3740 




0.253 3484 




3 947 1331 







47 


1 11 8 11 9 12 




10 


6364 


470 


3620 


120 


4000 


516 


.946 3294 


8 037 


50 




2 23 6 23 8 24 




20 
30 
40 
50 


6834 
7304 
7774 
8244 


470 
470 
470 
470 


3501 
3382 
3263 
3144 


119 
119 
119 
119 


4516 
5032 
5548 
6064 


516 
516 
516 
516 


.945 5261 
.944 7230 
.943 9203 
.943 1179 


8 033 
8031 
8027 
8024 


40 
30 
20 
10 




3 35 4 35 7 36 
4 47 2 47 6 48 
5 5<) 59 5 60 
6 70 8 71 4 72 
7 82 6 83 3 84 








469 




119 




516 




8022 






8 94 4 95 2 96 


14 





0.245 8713 




0.969 3025 




0.253 6580 




3.942 3167 







46 


9 106 2 107 1 108 




10 


9183 


470 


2906 


119 


7096 


516 


.941 5139 


8018 


50 








20 


9653 


470 


2786 


120 


7612 


516 


.940 7124 


8015 


40 








30 
40 


0.246 0123 
0593 


470 
470 


2667 
2548 


119 
119 


8128 
8644 


516 
516 


.939 9112 
939 1103 


8012 
8009 


30 
20 




Tangent 




50 


1063 


470 


2428 


120 


9160 


516 


.938 3097 


8006 


10 




515 516 517 








470 




119 




516 




8003 






1 51 5 51 G 51 7 


15 



10 
20 
30 


0.246 1533 
2003 
2473 
2943 


470 
470 
470 


0.969 2309 
2190 
2070 
1951 


119 
120 
119 


263 9676 
0.254 0193 
0709 
1225 


517 
516 
516 


3 937 6094 
936 7094 
935 9098 
935 1104 


8000 
79% 
7994 



50 
40 
30 


46 


2 103 103 2 103 4 
3 15 t 5 154 8 155 1 
4 206 206 4 206 8 
5 257 5 258 258 5 
309 309 6 310 2 




40 
50 


3412 
3882 


469 
470 
470 


1832 
1712 


119 
120 
119 


1741 
2257 


516 
516 
516 


.9343113 
933 5126 


7991 
7987 
7985 


20 
10 




7 360 5 361 2 361 9 
8 412 412 8 413 
9 463 5 464 4 465 3 


16 





0.246 4352 




0.969 1693 




0.254 2773 




3.932 7141 







44 


^ 




10 


4822 


470 


1473 


120 


3289 


516 


.931 9159 


7982 


50 








20 
30 
40 
50 


5292 
5762 
6232 
6701 


470 
470 
470 
469 
470 


1354 
1234 
1115 
0995 


119 
120 
119 
120 
120 


3806 
4322 
4838 
5354 


517 
516 
516 
516 
516 


.931 1181 
.930 3205 
.929 5233 
.9287264 


7978 
7976 
7972 
7%9 
7967 


40 
30 
20 
10 




Cotangent 

8100 8000 

1 810 800 
2 1620 1600 


17 





0.246 7171 




969 0875 




0.254 5870 




3.927 9297 







43 


3 2430 2100 
4 3240 3200 




10 


7641 


470 


0756 


119 


6387 


517 


.927 1334 


7 963 


50 




5 4050 4000 




20 
30 
40 


8111 
8581 
9051 


470 
470 
470 


0636 
0516 
0397 


120 
120 
119 


6903 
7419 
7935 


516 
516 
516 


,926 3374 
.925 5417 
.924 7462 


7 960 
7957 
7955 


40 
30 
20 




6 4800 4800 
7 5670 5600 
8 6480 6400 
9 7290 7200 




50 


9520 


469 


0277 


120 


8452 


517 


923 9511 


7 951 


10 












470 




120 




516 




7948 






7900 


18 





0.246 9990 




0.969 0167 




0.254 8968 




3.923 1663 







42 


1 790 




10 
20 
30 
40 


247 0460 
0930 
1400 
1869 


470 
470 
470 
469 


0038 
0.968 9918 
9798 
9678 


119 
120 
120 
120 


9484 
0.255 0001 
0517 
1033 


516 
517 
516 
516 


.922 3618 
.921 5676 
.920 7737 
.919 9800 


7 945 
7942 
7939 
7937 


50 
40 
30 
20 




2 1580 
3 2370 
4 3160 
5 3950 
6 4740 




50 


2339 


470 


9558 


120 


1550 


517 


.919 1867 


7933 


10 




7 5530 








470 




120 




516 




7930 






8 6320 


19 





02472809 




0.968 9438 




0.255 2066 




3.918 3937 







41 


9 17110 




10 


3279 


470 


9319 


119 


2583 


517 


.917 6010 


7927 


50 








20 


3748 


469 


9199 


120 


3099 


516 


.916 8086 


7924 


40 








30 


4218 


470 


9079 


120 


3615 


516 


.916 0165 


7921 


30 








40 


4688 


470 


8959 


120 


4132 


517 


.915 2247 


7 918 


20 








50 


5157 


469 


8839 


120 


4648 


516 


.914 4332 


7915 


10 












470 




120 




517 




7912 








20 





0.247 6627 




0.968 8719 




0.255 6165 




3.913 6420 







40 








Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff. 


" 


' 


Proportional Parts 



76 40' 



SINES, COSINES, TANGENTS AND COTANGENTS 
14 20' 



87 



' 


" 


Sine 


Diff 


Cohinc 


Diff. 


Tangent 


Diff 


Cotangent 


Diff. 






Pioporiional Parts 


20 





0.247 6627 




0.968 8719 




0.255 6165 




3.913 6420 







40 








10 


6097 


470 


8599 


120 


5681 


516 


912 8511 


7909 


50 










20 


6567 


470 


8479 


120 


6198 


517 


.912 0605 


7906 


40 










30 


7036 


469 


8359 


120 


6714 


516 


911 2702 


7903 


30 










40 


7506 


470 


8238 


121 


7231 


517 


.910 4802 


7900 


20 










50 


7976 


470 
469 


8118 


120 
120 


7747 


516 
517 


.909 6905 


7897 
7894 


10 




Sine 


21 



10 


0.247 8445 
8915 


470 


0.968 7998 
7878 


120 


256 8264 
8780 


516 


3.908 9011 
.908 1120 


7891 




50 


39 


469 470 

1 46 9 47 




20 
30 
40 
50 


9385 
9854 
0.248 0324 
0794 


470 
469 
470 
470 


7758 
7638 
7517 
7397 


120 
120 
121 
120 


9297 
9813 
0.256 0330 
0847 


517 
516 
517 
517 


.907 3232 
.906 5347 
.905 7465 
.904 9586 


7888 
7885 
7882 
7879 


40 
30 
20 
10 




2 93 8 94 
3 140 7 141 

4 187 6 188 
5 234 5 235 
6 281 4 282 








469 




120 




516 




7876 






7 328 


3 329 


22 





0.248 1263 




0.968 7277 




0.256 1363 




3.904 1710 







38 


8 37f> 


2 376 




10 


1733 


470 


7156 


121 


1880 


517 


.903 3837 


7873 


50 




9 422 


1 423 




20 


2203 


470 


7036 


120 


2397 


517 


.902 5966 


7871 


40 










30 


2672 


469 


6916 


120 


2913 


516 


.901 8099 


7867 


30 










40 
50 


3142 
3612 


470 
470 


6795 
6675 


121 
120 


3430 
3946 


517 
516 


.901 0235 
.900 2374 


7864 
7861 


20 
10 




Cosine 








469 




120 




517 




7858 






120 


121 122 


23 





0.248 4081 




0.968 6555 




0.256 4463 




3.899 4516 







37 


1 12 


12 1 12 2 




10 
20 
30 
40 


4551 
5020 
5490 
5960 


470 
469 
470 
470 


6434 
6314 
6193 
6073 


121 
120 
121 
120 


4980 
5497 
6013 
6530 


517 
517 
516 
517 


.898 6660 
.897 8808 
.897 0959 
.8963112 


7856 
7852 
7849 
7847 


50 
40 
30 
20 




2 24 
3 36 
4 48 
5 60 
6 72 


21 2 24 4 
36 3 36 6 

48 4 48 8 
60 5 61 
72 6 73 2 




50 


6429 


469 
470 


5952 


121 
120 


7047 


517 
517 


.895 5269 


7843 
7840 


10 




7 81 

8 % 


81 7 85 4 
96 8 97 6 


24 





0.248 6899 




0.968 5832 




0.256 7664 




3.894 7429 







36 


9 108 


108 9 109 8 




10 


7368 


469 


5711 


121 


8080 


516 


.893 9591 


7838 


50 










20 


7838 


470 


5590 


121 


8597 


517 


.893 1757 


7834 


40 










30 
40 
50 


8308 
8777 
9247 


470 
469 
470 


5470 
5349 
5228 


120 
121 
121 


9114 
9631 
257 0148 


517 
517 
517 


.892 3925 
.891 6096 
.890 8271 


7832 
7829 
7825 


30 
20 
10 




Tangent 

516 517 518 








469 




120 




516 




7823 






1 51 6 


. r >l 7 51 8 


25 



10 


0.248 9716 
0.249 0186 


470 


0.968 5108 
4987 


121 


0.257 0664 
1181 


517 


3.890 0448 
.889 2628 


7820 



50 


35 


2 KM 2 
3 151 8 
4 206 4 


103 4 103 6 
155 1 155 1 

206 8 207 2 




20 


0655 


469 


4866 


121 


1698 


517 


.888 4811 


7817 


40 




5 25H 


258 5 259 




30 
40 
50 


1125 
1594 
2064 


470 
469 
470 


4746 
4625 
4504 


120 
121 
121 


2215 
2732 
3249 


517 
517 
517 


.887 6998 
.886 9187 
.886 1379 


7813 
7811 
7808 


30 
20 
10 




6 309 (i 
7 3(>1 2 
8 412 8 
9 404 4 


310 2 310 8 
361 9 362 6 
413 6 414 4 
465 3 4t>6 2 








469 




121 




517 




7805 










26 





0.249 2533 




0.968 4383 




0.257 3766 




3 885 3574 







34 








10 


3003 


470 


4262 


121 


4283 


517 


884 5772 


7802 


50 










20 
30 
40 
50 


3472 
3942 
4411 
4881 


469 
470 
469 
470 


4141 
4021 
3900 
3779 


121 
120 
121 
121 


4800 
5317 
5834 
6351 


517 
517 
517 
517 


8837972 
- .8830176 
.882 2383 
.881 4593 


7800 
77% 
7793 
7790 


40 
30 
20 
10 




Cotangent 

7900 7800 

I 790 780 
2 15HO 1560 








469 




121 




517 




7788 






3 2370 2310 


27 





0.249 5350 




0.968 3658 




0.257 6868 




3.8806806 







33 


4 3160 3120 




10 


5820 


470 


3537 


121 


7385 


517 


879 9021 


7784 


50 




5 3950 3900 




20 
30 


6289 
6759 


469 
470 


3416 
3295 


121 
121 


7902 
8419 


517 
517 


.879 1239 
.878 3460 


7782 
7779 


40 
30 




6 4740 4680 
7 5530 5460 
8 6320 6240 




40 


7228 


469 


3174 


121 


8936 


517 


.877 5685 


7775 


20 




U 7110 7020 




50 


7698 


470 


3053 


121 


9453 


517 


.876 7912 


7773 


10 














469 




122 




517 




7770 








7700 


28 





0.249 8167 




968 2931 




0.257 9970 




3 876 0142 







32 


1 


770 




10 
20 


8637 
9106 


470 
469 


2810 
2689 


121 
121 


0.258 0487 
1004 


517 
517 


.875 2375 
.8744611 


7767 
7764 


50 
40 




2 
3 
4 


1540 
2310 
3080 




30 


9575 


469 


2568 


121 


1521 


517 


.873 6850 


7761 


30 




5 


3850 




40 
50 


250 0045 
0514 


470 
469 
470 


2447 
2326 


121 
121 
122 


2038 
2555 


517 
517 
518 


.872 9092 
.872 1337 


7758 
7755 
7753 


20 
10 




fi 

7 
8 


4620 
5390 
6160 


29 





0.250 0984 




0.968 2204 




0.258 3073 




3.871 3584 







31 


9 


6930 




10 


1453 


469 


2083 


121 


3590 


517 


.870 5835 


7749 


50 










20 


1923 


470 


1962 


121 


4107 


517 


.869 8088 


7747 


40 










30 


2392 


469 


1840 




4624 


517 


.869 0344 


7 744 


30 










40 


2861 


469 


1719 


121 


5141 


517 


.868 2604 


7740 


20 










50 


3331 


470 


1598 


121 


5659 


518 


.867 4866 


7 738 


10 














469 




122 




517 




7735 










30 





0.250 3800 




0.968 1476 




0.258 6176 




3.866 7131 







30 










Cosine 


Dtff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



76 30' 



88 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
14 30' 



' 


" 


Sine t 


Diff 


Cosmo 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Pioportional Parts 


30 





0.250 3800 




0.968 1476 




0.258 6176 




3.866 7131 







30 








10 


4269 


469 


1355 


121 


6693 


517 


.865 9399 


7732 


50 










20 


4739 


470 


1234 


121 


7210 


517 


865 1670 


7729 


40 










30 


5208 


469 


1112 


122 


7728 


518 


.8643944 


7 726 


30 










40 


5677 


469 


0991 


121 


8245 


517 


.863 6220 


7724 


20 










50 


6147 


470 
469 


0869 


122 
121 


8762 


517 
518 


.862 8500 


7720 
7718 


10 




Sine 


31 





0.250 6616 




968 0748 




0.258 9280 




3.862 0782 







29 


469 


470 




10 


7085 


469 


0626 


122 


9797 


517 


861 3067 


7 715 


50 




1 46 9 47 




20 
30 


7555 
8024 


470 
469 


0505 
0383 


121 
122 


0.259 0314 
0832 


517 
518 


.860 5356 
.859 7647 


7711 
7709 


40 
30 




2 93 8 94 
3 140 7 141 
4 187 6 188 




40 


8493 


469 


0261 


122 


1349 


517 


.858 9941 


7 706 


20 




5 234 5 235 




50 


8963 


470 
469 


0140 


121 
122 


1866 


517 
518 


.858 2238 


7 703 
7701 


10 




6 281 4 282 
7 328 3 329 


32 



10 


0.250 9432 
9901 


469 


0.968 0018 
0.967 9896 


122 


0.259 2384 
2901 


517 


3.857 4637 
.856 6840 


7697 



50 


28 


8 375 2 376 
9 422 1 423 




20 


251 0371 


470 


9775 


121 


3418 


517 


.855 9145 


7695 


40 










30 


0840 


469 


9653 


122 


3936 


518 


.855 1454 


7691 


30 










40 


1309 


69 


9531 


122 


4453 


517 


.854 3765 


7689 


20 




Cosine 




50 


1779 


470 
469 


9410 


121 
122 


4971 


518 
517 


.853 6079 


7686 
7683 


10 




121 


122 123 


33 



10 


251 2248 
2717 


469 


0.967 9288 
9166 


122 


0.259 6488 
6006 


518 


3.852 8396 
.852 0716 


7680 



50 


27 


1 12 1 

2 24 2 
3 3b 3 


12 2 12 3 
24 4 24 6 
36 6 36 9 




20 


3186 


469 


9044 


122 


6523 


517 


.851 3039 


7677 


40 




4 48 4 


48 8 49 2 




30 


3656 


470 


8922 


122 


7040 


517 


.850 5364 


7675 


30 




5 60 5 


61 61 5 




40 
50 


4125 
4594 


469 
469 


8800 
8678 


122 
122 


7558 
8076 


518 
518 


.849 7693 
.849 0024 


7671 
7669 


20 
10 




6 72 6 

7 84 7 
8 96 8 


73 2 73 8 
85 4 86 1 
97 6 98 4 








469 




121 




517 




7666 


































9 108 9 


109 8 110 7 


34 





261 6063 




0.967 8657 




0.259 8593 




3.8482368 







26 








10 


5532 


469 


8435 


122 


9111 


518 


.847 4695 


7663 


50 










20 


6002 


470 


8313 


122 


9628 


517 


.846 7035 


7660 


40 










30 


6471 


469 


8191 


122 


0.260 0146 


518 


845 9378 


7657 


30 




Tangent 




40 


6940 


469 


8069 


122 


0664 


518 


.845 1724 


7 654 


20 




517 518 




50 


7409 


469 
470 


7947 


122 
122 


1181 


517 
518 


.844 4072 


7652 
7648 


10 




1 51 7 51 8 
2 103 4 103 6 


35 





0.251 7879 




0.967 7825 




0.260 1699 




38436424 







25 


3 155 1 155 4 




10 


8348 


469 


7702 


123 


2217 


518 


.842 8778 


7646 


50 




4 206 8 207 2 




20 
30 
40 


8817 
9286 
9755 


469 
469 
469 


7580 
7458 
7336 


122 
122 
122 


2734 
3252 
3770 


517 
518 
518 


842 1135 
.841 3495 
.840 5857 


7643 
7640 
7638 


40 
30 
20 




5 258 5 259 
6 310 2 310 8 
7 361 9 362 6 
8 413 6 414 4 




50 


252 0224 


469 


7214 


122 


4287 


517 


.839 8223 


7634 


10 




9 465 3 466 2 








470 




122 




518 




7632 










36 





0.252 0694 




0.967 7092 




0.260 4805 




3.839 0591 







24 








10 
20 


1163 
1632 


469 
469 


6969 
6847 


123 
122 


5323 
5840 


518 
517 


.838 2963 
.837 5337 


7 628 
7626 


50 
40 




Cotangent 




30 


2101 


469 


6725 


122 


6358 


518 


.836 7714 


7623 


30 






7700 




40 


2570 


469 


6603 


122 


6876 


518 


.836 0093 


7621 


20 




i 


770 




50 


3039 


469 
469 


6480 


123 
122 


7394 


518 
517 


.835 2476 


7617 
7615 


10 




2 
3 


1540 
2310 


37 



10 
20 


0.252 3508 
3978 
4447 


470 
469 


0.967 6358 
6236 
6113 


122 
123 


0.260 7911 
8429 
8947 


518 
518 


3.834 4861 
.833 7250 
8329641 


7611 
7609 



50 
40 


23 


4 

5 
6 

7 


3080 
3850 
4620 
5390 




30 
40 


4916 
5385 


469 
469 


5991 
5869 


122 
122 


9465 
9983 


518 
518 


.832 2034 
.831 4431 


7607 
7603 


30 
20 




8 
9 


6160 
6930 




50 


5854 


469 
469 


5746 


123 
122 


0.261 0500 


517 
518 


.830 6831 


7600 
7598 


10 




7600 7500 


38 



10 


0.262 6323 
6792 


469 


0.967 5624 
5501 


123 


0.261 1018 
1536 


518 


3 829 9233 
.829 1638 


7595 



50 


22 


1 760 750 
2 1520 1500 
3 2280 2250 




20 


7261 


469 


5379 


122 


2054 


518 


.828 4046 


7592 


40 




4 3040 3000 




30 
40 
50 


7730 
8199 
8668 


469 
469 
469 


5256 
5133 
5011 


123 
123 
122 


2572 
3090 
3608 


518 
518 
518 


.827 6457 
.826 8871 
.826 1287 


7589 
7586 
7584 


30 
20 
10 




5 3800 3750 
6 4560 4500 
7 5320 5250 
8 6080 6000 








469 




123 




518 




7580 






9 6840 6750 


39 





0.262 9137 




0.967 4888 




0.261 4126 




3.825 3707 







21 








10 


9607 


470 


4766 


122 


4644 


518 


.824 6129 


7578 


50 










20 


253 0076 


469 


4643 


123 


5162 


518 


.823 8554 


7575 


40 










30 


0545 


469 


4520 


123 


5680 


518 


.823 0981 


7573 


30 










40 


1014 


469 


4398 


122 


6198 


518 


.822 3412 


7569 


20 










50 


1483 


469 


4275 


123 


6716 


518 


.821 5845 


7567 


10 














469 




123 




518 




7564 










40 





253 1962 




0.967 4152 




0.261 7234 




3.820 8281 







20 










Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



76 20' 



SINES, COSINES, TANGENTS AND COTANGENTS 
14 40' 



89 



' 


" 


Sino 


Diff 


Cosmo 


DifT 


Tangent 


DifT 


Cot-uwnt 


DifT 






Piopoi lonal Parts 


40 





0.253 1952 




0.967 4152 




0.261 7234 




3.820 8281 







20 






10 


2421 


469 


4029 


123 


7752 


518 


.820 0720 


7561 


50 








20 


2890 


469 


3907 


122 


8270 


518 


.819 3162 


7558 


40 








30 


3359 


469 


3784 


123 


8788 


518 


.818 5606 


7 556 


30 








40 


3828 


469 


3661 


123 


9306 


518 


.817 8054 


7 552 


20 








50 


4297 


469 


3538 


123 


9824 


518 


.817 0504 


7550 


10 












469 




123 




518 




7547 








41 





0.253 4766 




0.967 3415 




0.262 0342 




3.816 2957 







19 


Sine 




10 


5235 


469 


3292 


123 


0860 


518 


815 5412 


7545 


50 




468 469 




20 


5704 


469 


3169 


123 


1378 


518 


.814 7871 


7541 


40 




1 40 8 46 !) 




30 
40 


6173 
6642 


469 
469 


3047 
2924 


122 
123 


1896 
2415 


518 
519 


.814 0332 
813 2796 


7539 
7536 


30 
20 




2 93 6 91 8 
3 110 t HO 7 
1 187 2 187 b 




50 


7110 


468 


2801 


123 


2933 


518 


.812 5263 


7533 


10 




r, 234 234 ."> 








469 




123 




518 




7530 






(j 280 8 281 t 


42 





0.253 7579 




0.967 2678 




0.262 3451 




3 811 7733 







18 


7 327 f) 328 ,3 




10 
20 


8048 
8517 


469 
469 


2554 
2431 


124 
123 


3969 
4487 


518 
518 


.811 0205 
810 2680 


7528 
7525 


50 
40 




8 374 4 375 2 
421 2 422 1 




30 


8986 


469 


2308 


123 


5005 


518 


809 5158 


7522 


30 








40 


9455 


469 


2185 


123 


5524 


519 


808 7639 


7519 


20 








50 


9924 


469 


2062 


123 


6042 


518 


808 0123 


7516 


10 




Cosine 








469 




123 




518 




7514 








43 





0.254 0393 




0.967 1939 




262 6560 




3 807 2609 







17 


122 123 124 




10 


0862 


469 


1816 


123 


7078 


518 


806 5098 


7511 


50 




1 IJ 2 12 3 12 1 




20 


1331 


469 


1693 


123 


7597 


519 


805 7590 


7508 


40 




'2 211 2 1 li 248 
3 36 (> 36 !) 37 '2 




30 


1800 


469 


1569 


124 


8115 


518 


805 0085 


7505 


30 




I IS 8 1<) 2 4') f 




40 


2269 


469 


1446 


123 


8633 


518 


.804 2582 


7503 


20 




.") lit 61 5 62 




50 


2737 


468 
469 


1323 


123 
123 


9152 


519 
518 


803 5082 


7500 
7497 


10 




1) 7.5 2 73 8 71 t 
7 S:> 4 81) 1 80 8 


44 





254 3206 




0.967 1200 




262 9670 




3 802 7585 







16 


S '17 (> ( )8 1 00 2 
'J 10') S 110 7 111 b 




10 


3675 


469 


1076 


124 


263 0188 


518 


.802 0091 


7494 


50 








20 


4144 


469 


0953 


123 


0707 


519 


801 2599 


7492 


40 








30 


4613 


469 


0830 


123 


1225 


518 


8005110 


7489 


30 








40 


5082 


469 


0706 


124 


1743 


518 


799 7624 


7 486 


20 




Tangent 




50 


5551 


469 


0583 


123 


2262 


513 


799 0141 


7483 


10 




518 519 








468 




124 




518 




7480 








45 





0.254 6019 




967 0469 




0.263 2780 




3.798 2661 







15 


i r > 8 51 <) 

> 0, () 103 K 




10 


6488 


469 


0336 


123 


3299 


519 


.797 5183 


7478 


50 




3 1")") I 155 7 




20 


6957 


469 


0212 


124 


3817 


518 


.796 7708 


7475 


40 




1 .'07 2 207 ft 




30 
40 


7426 
7895 


469 
469 


0089 
966 9965 


123 
124 


4336 

4854 


519 
518 


.796 0236 
.795 2766 


7472 
7470 


30 
20 




5 259 25',) > 
fi *10 8 311 t 
7 362 363 i 




50 


8364 


469 


9842 


123 


5373 


519 


.794 5299 


7467 


10 




s 411 4 ur> 2 








468 




124 




518 




7464 






') 106 2 167 1 


46 





0.254 8832 




966 9718 




263 6891 




3.793 7836 







14 






10 


9301 


469 


9595 


123 


6410 


519 


.793 0374 


7461 


50 








20 
30 


9770 
255 0239 


469 
469 


9471 
9348 


124 
123 


6928 
7447 


518 
519 


792 2916 
.791 5460 


7458 
7456 


40 
30 




Cotangent 




40 


0708 


469 


9224 


124 


7965 


518 


.790 8007 


7453 


20 




7600 7500 




50 


1176 


468 


9100 


124 


8484 


519 


790 0556 


7451 


10 




1 7bO 7">0 








469 




123 




518 




7447 






2 1520 1500 


47 



10 
20 
30 


0.265 1645 
2114 
2583 
3051 


469 
469 
468 


0.966 8977 
8853 
8729 
8605 


124 
124 
124 


0.263 9002 
9521 
264 0039 
0558 


519 
518 
519 


3 789 3109 
788 5664 
.787 8222 
.787 0783 


7445 
7442 
7439 



50 
40 
30 


13 


3 2280 2250 
4 3010 3000 
5 3800 3750 
G r>0() 4500 
7 5V20 5'>r>0 




40 
50 


3520 
3989 


469 
469 


8482 
8358 


123 
124 


1077 
1595 


519 
518 


.786 3346 
.785 5912 


7437 
7434 


20 
10 




8 (tOSO 6000 
f (.810 6750 








469 




124 




519 




7431 








48 





0.255 4468 




966 8234 




0.264 2114 




3.784 8481 







12 


7400 




10 
20 
30 


4926 
5395 
5864 


468 
469 
469 


8110 
7986 
7862 


124 
124 
124 


2633 
3151 
3670 


519 
518 
519 


.784 1052 
.783 3627 
.782 6204 


7429 
7425 
7423 


50 
40 
30 




1 740 
2 1480 
3 2220 
4 2960 




40 


6332 


468 


7738 


124 


4189 


519 


.781 8783 


7421 


20 




6 3700 




50 


6801 


469 
469 


7614 


124 
124 


4707 


518 
519 


.781 1366 


7417 
7415 


10 




6 4440 
7 5180 


49 



10 


0.266 7270 
7739 


469 


0.966 7490 
7366 


124 


0.264 6226 
5745 


519 


3.780 3951 
.779 6539 


7412 



50 


11 


8 5920 
9 6660 




20 


8207 


468 


7242 


124 


6264 


519 


.778 9130 


7409 


40 








30 


8676 


469 


7118 


124 


6782 


518 


.778 1723 


7407 


30 








40 


9145 


469 


6994 


124 


7301 


519 


.777 4319 


7404 


20 








50 


9613 


468 


6870 


124 


7820 


519 


.776 6918 


7401 


10 












469 




124 




519 




7 399 








60 





0.266 0082 




966 6746 




0.264 8339 




3.776 9519 







10 








Cosmo 


DifT 


Sine 


Diff 


Cotangent 


DifT 


Tangent 


Diff 


" 


' 


Proportional Parts 



75 10' 



90 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
14 50' 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 


60 





0.266 0082 




0.966 6746 




0.264 8339 




3.776 9519 







10 






10 


0551 


469 


6622 


124 


8858 


519 


.775 2123 


7396 


50 








20 


1019 


468 


6498 


124 


9376 


518 


.774 4730 


7393 


40 








30 


1488 


469 


6374 


124 


9895 


519 


.773 7340 


7390 


30 








40 


1956 


468 


6249 


125 


0.265 0414 


519 


.772 9952 


7388 


20 








50 


2425 


469 


6125 


124 


0933 


519 


.772 2567 


7385 


10 




Sine 








469 




124 




519 




7382 








61 



10 


0.266 2894 
3362 


468 


0.966 6001 
5877 


124 


0.265 1452 
1971 


519 


3.771 5186 
.770 7805 


7380 



50 


9 


468 469 

1 46 8 40 9 
2 93 6 93 8 




20 
30 
40 
50 


3831 
4300 
4768 
5237 


469 
469 
468 
469 
468 


5752 
5628 
5504 
5379 


125 
124 
124 
125 
124 


2490 
3009 
3528 
4047 


519 
519 
519 
519 
519 


.770 0428 
.769 3054 
.768 5682 
.767 8313 


7377 
7374 
7372 
7369 
7366 


40 
30 
20 
10 




3 140 4 140 7 
4 187 2 187 6 
5 234 234 5 
280 8 281 4 
7 327 6 328 3 
8 374 4 375 2 


62 





0.266 6706 




0.966 5255 




0.265 4666 




3.767 0947 







8 


9 421 2 422 1 




10 


6174 


469 


5131 


124 


5085 


519 


766 3584 


7363 


50 








20 


6643 


469 


5006 


125 


5604 


519 


.765 6223 


7361 


40 








30 
40 


7111 
7580 


468 
469 


4882 
4757 


124 
125 


6123 
6642 


519 
519 


.764 8865 
.764 1510 


7358 
7355 


30 
20 




Cosine 




50 


8048 


468 


4633 


124 


7161 


519 


.763 4157 


7353 


10 




124 125 126 








469 




125 




519 




7350 






1 12 4 12 5 12 6 


63 



10 
20 
30 
40 
50 


0.256 8617 
8985 
9454 
9922 
257 0391 
0859 


468 
469 
468 
469 
468 
469 


0.966 4608 
4384 
4259 
4135 
4010 
3885 


124 
125 
124 
125 
125 
124 


0.265 7680 
8199 
8718 
9237 
9756 
266 0275 


519 
519 
519 
519 
519 
519 


3.762 6807 
.761 9459 
.761 2115 
.760 4773 
.759 7433 
.759 0097 


7348 
7344 
7342 
7340 
7336 
7334 



50 
40 
30 
20 
10 


7 


2 24 8 25 25 2 
3 37 2 37 5 37 8 
4 49 6 50 50 4 
5 C2 02 5 63 
b 74 4 75 75 6 
7 86 8 87 5 88 2 
8 09 2 100 100 8 
') 111 6 112 5 113 4 


64 





0.257 1328 




0.966 3761 




0.266 0794 




3.758 2763 







6 






10 


1796 


468 


3636 


125 


1313 


519 


.757 5432 


7331 


50 








20 
30 
40 


2265 
2733 
3202 


469 
468 
469 


3511 
3387 
3262 


125 
124 
125 


1833 
2352 
2871 


520 
519 
519 


.756 8103 
.756 0777 
.755 3454 


7329 
7326 
7323 


40 
30 
20 




Tangent 

518 519 520 




50 


3670 


468 
469 


3137 


125 
125 


3390 


519 
519 


.754 6133 


7321 
7318 


10 




1 51 8 51 9 52 
2 103 (i 103 8 104 


66 



10 


0.267 4139 
4607 


468 


966 3012 
2888 


124 


266 3909 
4429 


520 


3 753 8815 
.753 1500 


7315 



50 


5 


3 155 4 155 7 156 
4 207 2 207 6 208 
5 259 259 5 260 




20 


5076 


469 


2763 


125 


4948 


519 


.752 4187 


7313 


40 




b 310 8 311 4 312 




30 
40 
50 


5544 
6013 
6481 


468 
469 
468 


2638 
2513 
2388 


125 
125 
125 


5467 
5986 
6506 


519 
519 
520 


.751 6877 
.750 9570 
.750 2265 


7310 
7307 
7305 


30 
20 
10 




7 3b2 363 3 364 
S 114 4 415 2 416 
<) 100 2 407 1 468 








469 




125 




519 




7302 








66 



10 
20 
30 
40 
50 


257 6960 
7418 
7887 
8355 
8823 
9292 


468 
469 
468 
468 
469 


0.966 2263 
2138 
2013 
1888 
1763 
1638 


125 
125 
125 
125 
125 


266 7025 
7544 
8064 
8583 
9102 
9622 


519 
520 
519 
519 
520 


3.749 4963 
.748 7664 
.748 0367 
.747 3073 
.746 5782 
.745 8493 


7299 
7297 
7294 
7291 
7289 



50 
40 
30 
20 
10 


41 


Cotangent 

7400 7300 

1 740 730 
'2 11SO 1460 
3 2120 2190 








468 




125 




519 




7286 






4 2%() 2920 


67 



10 
20 
30 


0.257 9760 
258 0229 
0697 
1165 


469 
468 
468 


0.966 1513 
1388 
1263 
1138 


125 
125 
125 


0.267 0141 
0660 
1180 
1699 


519 
520 
519 


3.745 1207 
.744 3923 
.743 6643 
.742 9364 


7284 
7280 
7279 



50 
40 
30 


3 


5 3700 3650 
b 4440 4380 
7 5180 5110 
8 5920 5840 
9 6600 6570 




40 


1634 


469 


1013 


125 


2219 


520 


.742 2089 


7 275 


20 








50 


2102 


468 


0888 


125 


2738 


519 


.741 4816 


7273 


10 




7200 








468 




126 




519 




7270 






1 720 


68 



10 


258 2570 
3039 


469 


966 0762 
0637 


125 


0.267 3267 
3777 


520 


3.740 7546 
.740 0278 


7268 




50 


2 


2 1440 
3 2160 
4 2880 




20 


3507 


468 


0512 


125 


4296 


519 


.739 3013 


7265 


40 




5 3000 




30 


3976 


469 


0387 


125 


4816 


520 


.738 5751 


7 262 


30 




6 4320 




40 
50 


4444 
4912 


468 
468 
469 


0261 
0136 


126 
125 
125 


5335 

5855 


519 
520 
519 


.737 8491 
.737 1234 


7 260 
7257 
7254 


20 
10 




7 5040 
8 5760 
9 6480 


69 





0.258 5381 




0.966 0011 




267 6374 




3.736 3980 







1 






10 


5849 


468 


0.965 9885 


126 


6894 


520 


.735 6728 


7252 


50 








20 


6317 


468 


9760 


125 


7414 


520 


.734 9479 


7249 


40 








30 


6786 


469 


9635 


125 


7933 


519 


.734 2232 


7247 


30 








40 


7254 


468 


9509 


126 


8453 


520 


.733 4988 


7 244 


20 








50 


7722 


468 


9384 


125 


8972 


519 


.732 7747 


7241 


10 












468 




126 




520 




7239 








60 





0.268 8190 




0.965 9258 




0.267 9492 




3.732 0508 
















Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


// 


/ 


Proportional Part* 


i 

























75 00' 



SINES, COSINES, TANGENTS AND COTANGENTS 
15 (XT 



91 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 








258 8190 




0.965 9258 




0.267 9492 




3.732 0508 







60 






10 


8659 


469 


9133 


125 


0.268 0012 


520 


.731 3272 


7 236 


50 








20 


9127 


468 


9007 


126 


0531 


519 


.730 6039 


7233 


40 








30 


9595 


468 


8882 


125 


1051 


520 


.729 8808 


7 231 


30 








40 


0.259 0064 


469 


8756 


126 


1571 


520 


.729 1579 


7229 


20 








50 


0532 


468 
468 


8631 


125 
126 


2090 


519 
520 


.728 4354 


7 225 
7223 


10 




Sine 


1 





0.259 1000 




0.965 8505 




0.268 2610 




3.727 7131 







59 


467 468 469 




10 
20 
30 


1468 
1937 
2405 


468 
469 
468 


8379 
8254 
8128 


126 
125 
126 


3130 
3649 
4169 


520 
519 
520 


.726 9910 
.726 2693 
.725 5477 


7221 
7217 
7216 


50 
40 
30 




1 40 7 40 8 40 9 
'2 93 4 93 6 93 8 
3 HO 1 140 4 140 7 
4 186 8 187 2 187 




40 


2873 


468 


8002 


126 


4689 


520 


.724 8265 


7 212 


20 




5 2'53 5 234 234 5 




50 


3341 


468 
469 


7877 


125 
126 


5209 


520 
519 


.724 1055 


7 210 
7208 


10 




b 280 2 280 8 281 4 
7 320 9 327 () 328 3 


2 



10 


0.269 3810 
4278 


468 


0.966 7751 
7625 


126 


0.268 5728 
6248 


520 


3.723 3847 
.722 6643 


7204 



50 


68 


8 373 6 374 4 375 2 
9 420 3 421 2 422 1 




20 


4746 


468 


7499 


126 


6768 


520 


.721 9441 


7202 


40 








30 


5214 


468 


7374 


125 


7288 


520 


.721 2241 


7200 


30 








40 
50 


5682 
6151 


468 
469 
468 


7248 
7122 


126 
126 
126 


7808 
8327 


520 
519 
520 


.720 5044 
.719 7850 


7 197 
7194 
7192 


20 
10 




Cosine 

125 126 127 


3 



10 
20 


0.259 6619 
7087 
7555 


468 
468 


0.965 6996 
6870 
6744 


126 
126 


0.268 8847 
9367 
9887 


520 
520 


3.719 0668 
.718 3469 
.717 6282 


7189 
7187 



50 
40 


57 


1 12 5 12 12 7 
2 25 25 2 25 4 
3 37 5 37 8 38 1 
4 50 50 4 50 8 




30 


8023 


468 


6618 


126 


0.269 0407 


520 


.716 9098 


7 184 


30 




5 62 5 63 63 5 




40 
50 


8491 
8960 


468 
469 
468 


6492 
6366 


126 
126 
126 


0927 
1447 


520 
520 
520 


.716 1917 
.715 4738 


7 181 
7179 
7177 


20 
10 




7,-) 75 b 76 2 
7 87 5 88 2 88 9 
8 100 100 8 101 6 


4 





269 9428 




0.966 6240 




0.269 1967 




3.714 7661 







56 


9 11J 5 113 4 114 3 




10 


9896 


468 


6114 


126 


2487 


520 


.714 0388 


7 173 


50 








20 


260 0364 


468 


5988 


126 


3007 


520 


.713 3217 


7 171 


40 








30 
40 
50 


0832 
1300 
1768 


468 
468 
468 
469 


5862 
5736 
5610 


126 
126 
126 
126 


3527 
4047 
4567 


520 
520 
520 
520 


712 6048 
.711 8882 
.711 1719 


7 169 
7166 
7163 
7161 


30 
20 
10 




Tangent 

519 520 521 

1 51 9 52 52 1 


6 



10 


0.260 2237 
2705 


468 


0.965 5484 
5358 


126 


0.269 6087 
5607 


520 


3.710 4658 
.709 7400 


7158 



50 


56 


2 103 8 104 104 2 
3 155 7 150 150 3 
4 J07 b 208 208 4 




20 


3173 


468 


5231 


127 


6127 


520 


.709 0244 


7 156 


40 




5 259 5 260 260 5 




30 
40 
50 


3641 
4109 
4577 


468 
468 
468 


5105 
4979 
4853 


126 
126 
126 


6647 
7167 
7687 


520 
520 
520 


.708 3091 
.707 5941 
706 8793 


7 153 
7150 
7148 


30 
20 
10 




311 1 312 312.0 
7 303 3 304 361 7 
8 115 2 416 41b 8 
9 407 1 408 468 9 








468 




127 




520 




7 145 








6 





02605046 




0.966 4726 




0.269 8207 




3.706 1648 







54 






10 


5513 


468 


4600 


126 


8727 


520 


705 4505 


7 143 


50 








20 
30 
40 
50 


5981 
6449 
6917 
7385 


468 
468 
468 
468 


4474 
4347 
4221 
4095 


126 
127 
126 
126 


9247 
9767 
0.270 0288 
0808 


520 
520 
521 
520 


.704 7365 
.704 0227 
.703 3092 
.702 5959 


7 140 
7138 
7135 
7133 


40 
30 
20 
10 




Cotangent 

7200 7100 

1 720 710 
2 1110 1420 








468 




127 




520 




7 129 






3 2160 2130 


7 





0.260 7853 




0.965 3968 




0.270 1328 




3.701 8830 







53 


4 2880 2840 




10 
20 
30 


8321 
8789 
9258 


468 
468 
469 


3842 
3715 

3589 


126 
127 
126 


1848 
2368 
2889 


520 
520 
521 


.701 1702 
.700 4577 
.699 7455 


7 128 
7125 
7122 


50 
40 
30 




5 WiOO 3550 
b 4320 4200 
7 5010 4970 
8 5760 5080 




40 


9726 


468 


3462 


127 


3409 


520 


.699 0335 


7 120 


20 




9 b!80 6390 




50 


0.261 0194 


468 
468 


3336 


126 
127 


3929 


520 
520 


.698 3218 


7 117 
7114 


10 




7000 


8 



10 
20 


0.261 0662 
1130 
1598 


468 
468 


0.965 3209 
3083 
2956 


126 
127 


0.270 4449 
4970 
5490 


521 
520 


3.697 6104 
.696 8991 
.696 1882 


7113 
7109 




50 
40 


52 


1 700 
2 1400 
3 2100 
4 2800 




30 


2066 


468 


2829 


127 


6010 


520 


.695 4775 


7 107 


30 




5 3500 




40 
50 


2533 
3001 


467 
468 
468 


2703 
2576 


126 
127 
127 


6531 
7051 


521 
520 
520 


.694 7671 
.694 0569 


7 104 
7102 
7100 


20 
10 




6 4200 
7 4900 
8 5600 


9 





0.261 3469 




0.965 2449 




0.270 7671 




3.693 3469 







51 


9 6300 




10 


3937 


468 


2323 


126 


8092 


521 


.692 6373 


7 0% 


50 








20 


4405 


468 


2196 


127 


8612 


520 


.691 9278 


7 095 


40 








30 


4873 


468 


2069 


127 


9132 


520 


.691 2187 


7091 


30 








40 


5341 


468 


1942 


127 


9653 


521 


.690 5097 


7090 


20 








50 


5809 


468 


1815 


127 


0.271 0173 


520 


.6898011 


7086 


10 












468 




126 




521 




7084 








10 





0.261 6277 




0.965 1689 




0.271 0694 




3.689 0927 







50 








Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


TanKcnt 


Diff 


rt 


< 


Proportional Paits 



74 50' 



92 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
15 10' 



' 


" 


Sine 


Diff 


Cosine 


Diff. 


Tangent 


Diff 


Cotangent, 


Diff. 






Piopoitional Parts 1 


10 





0.261 6277 




0.965 1689 




0.271 0694 




3.689 0927 







50 






10 


6745 


468 


1562 


127 


1214 


520 


.688 3845 


7082 


50 








20 


7213 


468 


1435 


127 


1735 


521 


.087 6766 


7079 


40 








30 


7681 


468 


1308 


127 


2255 


520 


.686 9689 


7077 


30 








40 


8149 


468 


1181 


127 


2775 


520 


.686 2616 


7073 


20 








50 


8617 


468 


1054 


127 


3296 


521 


.685 5544 


7072 


10 












468 




127 




521 




7069 






Sine 


11 



10 
20 


261 9085 
9552 
262 0020 


467 
468 


0.965 0927 
0800 
0673 


127 
127 


0.271 3817 
4337 
4858 


520 
521 


36848475 
.684 1409 
.683 4345 


7066 
7064 



50 
40 


49 


467 468 

1 46 7 46 8 
2 93 4 93 6 




30 


0488 


468 


0546 


127 


5378 


520 


.682 7283 


7062 


30 




3 140 1 140 4 




40 


0956 


468 


0419 


127 


5899 


521 


.682 0225 


7058 


20 




4 180 8 187 2 




50 


1424 


468 
468 


0292 


127 
127 


6419 


520 
521 


.681 3168 


7057 
7053 


10 




5 233 5 234 
280 2 280 8 


12 





0.262 1892 




965 0165 




271 6940 




3 680 6115 







48 


7 320 9 327 6 
8 373 6 374 4 




10 


2360 


468 


0038 


127 


7460 


520 


.679 9063 


7052 


50 




9 420 3 421 2 




20 


2827 


467 


0.9649911 


127 


7981 


521 


.679 2015 


7048 


40 








30 


3295 


468 


9784 


127 


8502 


521 


678 4968 


7047 


30 








40 
50 


3763 
4231 


468 
468 


9656 
9529 


128 
127 


9022 
9543 


520 
521 


677 7925 
677 0883 


7043 
7042 


20 
10 




Cosine 








468 




127 




521 




7038 






127 128 129 


13 





262 4699 




964 9402 




272 0064 




3 676 3845 







47 


1 U 7 12 8 12 9 




10 
20 


5167 
5634 


468 
467 


9275 
9147 


127 
128 


0584 
1105 


520 
521 


.675 6808 
.674 9775 


7037 
7033 


50 
40 




2 2 r > t 25 25 8 
3 38 1 38 4 38 7 
1 50 8 51 2 51 




30 


6102 


468 


9020 


127 


1626 


521 


.674 2743 


7032 


30 








40 


6570 


468 


8893 


127 


2147 


521 


.673 5715 


7028 


20 




7l. 2 70 8 77 4 




50 


7038 


468 
468 


8765 


128 
127 


2667 


520 
521 


.672 8689 


7026 
7024 


10 




7 SS 9 89 90 3 
8 101 102 I 103 2 


14 





262 7506 




964 8638 




0.272 3188 




3.672 1665 







46 


9 111 3 115 2 110 1 




10 


7973 


467 


8511 


127 


3709 


521 


.671 4644 


7021 


50 








20 


8441 


468 


8383 


128 


4230 


521 


.670 7625 


7019 


40 








30 
40 
50 


8909 
9377 
9844 


468 
468 
467 


8256 
8128 
8001 


127 
128 
127 


4750 
5271 
5792 


520 
521 
521 


.670 0609 
.669 3595 
668 6584 


7016 
7014 
7011 


30 
20 
10 




Tangent 

520 521 522 

1 5' } 5 l) 1 5 ' * 








468 




128 




521 




7009 






2 104 104 2 104 4 


15 





263 0312 




0.964 7873 




272 6313 




3 667 9575 







45 


3 150 150 3 150 




10 


0780 


468 


7746 


127 


6834 


521 


.667 2569 


7 006 


50 




4 208 208 4 208 8 




20 
30 
40 


1248 
1715 
2183 


468 
467 
468 


7618 
7491 
7363 


128 
127 
128 


7355 
7876 
8396 


521 
521 
520 


.666 5565 
665 8564 
.665 1565 


7004 
7001 
6999 


40 
30 
20 




5 200 200 5 201 
-il2 312 313 2 
7 304 304 7 305 4 
8 410 410 8 417 




50 


2651 


468 


7235 


128 


8917 


521 


.664 4569 


6996 


10 




9 408 408 9 469 8 








467 




127 




521 




6 994 








16 





0.263 3118 




0.964 7108 




0.272 9438 




3.663 7575 







44 \ 






10 
20 


3586 
4054 


468 
468 


6980 
6852 


128 
128 


9959 
273 0480 


521 
521 


663 0584 
.662 3595 


6991 
6989 


50 
40 




Cotangent 




30 


4522 


468 


6725 


127 


1001 


521 


.661 6609 


6986 


30 




7100 7000 




40 
50 


4989 
5457 


467 
468 
468 


6597 
6469 


128 
128 
128 


1522 
2043 


521 
521 
521 


.660 9625 
6602644 


6984 
6981 
6979 


20 
10 




1 710 700 
2 1420 1400 
3 J130 2100 


























1 2810 2800 


17 



10 


0.263 5925 
6392 


467 


964 6341 
6214 


127 


273 2564 
3085 


521 


3 659 5665 
658 8688 


6977 



50 


43 


5 3550 3500 
b 12l)0 1200 




20 


6860 


468 


6086 


128 


3606 


521 


.658 1715 


6973 


40 




7 l'>7< 4900 




30 
40 


7328 
7795 


468 
467 


5958 
5830 


128 
128 


4127 
4648 


521 
521 


.657 4743 
.656 7774 


6972 
6969 


30 
20 




8 5080 5000 
9 0390 6300 




50 


8263 


468 


5702 


128 


5169 


521 


656 0808 


6 966 


10 




6900 








467 




128 




521 




6964 








18 





0.263 8730 




0.964 5574 




0.273 5690 




3 655 3844 







42 


1 690 
2 1380 




10 


9198 


468 


5446 


128 


6212 


522 


654 6882 


6962 


50 




3 2070 




20 


9666 


468 


5318 


128 


6733 


521 


.653 9923 


6 959 


40 




4 2760 




30 
40 


264 0133 
0601 


467 
468 


5190 
5062 


128 
128 


7254 
7775 


521 
521 


.653 2966 
.652 6012 


6 957 
6954 


30 
20 




5 3450 
6 1140 
7 4830 




50 


1069 


468 
467 


4934 


128 
128 


8296 


521 
521 


.651 9060 


6 952 
6949 


10 




8 5520 
9 6210.0 


19 





0.264 1536 




0.9644806 




0.273 8817 




3.651 2111 







41 






10 


2004 


468 


4678 


128 


9338 


521 


.650 5164 


6947 


50 








20 


2471 


467 


4550 


128 


9860 


522 


.649 8220 


6944 


40 








30 


2939 


468 


4422 


128 


0.274 0381 


521 


.649 1278 


6942 


30 








40 


3406 


467 


4294 


128 


0902 


521 


.648 4339 


6939 


20 








50 


3874 


468 


4166 


128 


1423 


521 


.647 7402 


6937 


10 












468 




129 




522 




6935 








20 





0.264 4342 




0.964 4037 




0.274 1945 




3.647 0467 







40 








Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



74 40' 



SINES, COSINES, TANGENTS AND COTANGENTS 
15 20' 



93 



' 


" 


Sine 


Diff 


Cosmo 


Diff 


Tangent 


D!ff 


Cotangent 


Dili 






Proportional Parta 


20 





0.264 4342 




0.964 4037 




0.274 1945 




3.647 0467 







40 








10 


4809 


467 


3909 


128 


2466 


521 


.646 3535 


6932 


50 










20 


5277 


468 


3781 


128 


2987 


521 


.645 6605 


6930 


40 










30 


5744 


467 


3653 


128 


3508 


521 


.644 9678 


6927 


30 










40 


6212 


468 


3524 


129 


4030 


522 


.644 2753 


6 925 


20 










50 


6679 


467 


3396 


128 


4551 


521 


6435831 


6922 


10 














468 




128 




521 




6920 






Sine 


21 



10 


264 7147 
7614 


467 


0.964 3268 
3139 


129 


0.274 5072 
5594 


522 


3 642 8911 
.642 1994 


6917 



50 


39 


467 468 




20 
30 


8082 
8549 


468 
467 


3011 
2883 


128 
128 


6115 
6637 


521 
522 


641 5079 
.640 8167 


6915 
6912 


40 
30 




1 46 7 46 8 
2 93 4 93 6 
3 144) 1 140 4 




40 


9017 


468 


2754 


129 


7158 


521 


.640 1256 


6911 


20 




4 186 8 187 2 




50 


9484 


467 


2626 


128 


7679 


521 


.639 4349 


6 907 


10 




5 233 5 234 








468 




129 




522 




6905 






6 281 


) 2 280 8 


22 



10 


264 9952 
265 0419 


467 


0.964 2497 
2369 


128 


0.274 8201 
8722 


521 


3.6387444 
638 0541 


6903 



50 


38 


7 3'26 9 i27 6 
8 373 6 374 4 
9 420 3 421 2 




20 


0887 


468 


2240 


129 


9244 


522 


.637 3641 


6900 


40 










30 


1354 


467 


2112 


128 


9765 


521 


636 6743 


6898 


30 










40 


1822 


468 


1983 


129 


275 0287 


522 


.635 9847 


68% 


20 










50 


2289 


467 


1855 


128 


0808 


521 


.635 2954 


6 893 


10 




Cosine 








468 




129 




522 




6 890 










23 



10 


265 2757 
3224 


467 


0.964 1726 
1597 


129 


275 1330 
1851 


521 


3.634 6064 
.633 9175 


6889 



50 


37 


128 

1 12 8 

2 25 6 


129 130 

12 9 13 

25 8 26 




20 


3691 


467 


1469 


128 


2373 


522 


633 2290 


6885 


40 




3 38 4 


38 7 39 




30 


4159 


468 


1340 


129 


2894 


521 


632 5406 


6884 


30 




4 51 2 


51 6 52 




40 
50 


4626 
5094 


467 
468 
467 


1211 
1083 


129 
128 
129 


3416 
3937 


522 
521 
522 


631 8526 
631 1647 


6880 
6879 
6876 


20 
10 




5 61 
6 76 8 
7 89 6 


64 5 65 
77 4 78 
90 3 91 


























8 102 4 


103 2 104 


24 





265 5561 




0.964 0954 




275 4459 




3.630 4771 







36 


9 115 2 


116 1 117 




10 


6029 


468 


0825 


129 


4981 


522 


629 7897 


6 874 


50 










20 


6496 


467 


0697 


128 


5502 


521 


.629 1026 


6 871 


40 










30 
40 


6963 
7431 


467 
468 


0568 
0439 


129 
129 


6024 
6545 


522 
521 


.628 4157 
627 7291 


6 869 
6866 


30 
20 




Tangent 




50 


7898 


467 


0310 


129 


7067 


522 


.627 0427 


6 864 


10 




521 522 








468 




129 




522 




6 861 






1 51 


1 52 2 


25 





0.265 8366 




964 0181 




0.275 7589 




3.626 3566 







35 


2 104 2 104 4 




10 
20 
30 
40 


8833 
9300 
9768 
266 0235 


467 
467 
468 
467 


0052 
0.963 9923 
9794 
9665 


129 
129 
129 
129 


8110 
8632 
9154 
9676 


521 
522 
522 
522 


.625 6706 
624 9850 
624 2995 
623 6143 


6 860 
6856 
6855 
6852 


50 
40 
30 
20 




3 156 3 156 6 
4 208 1 208 8 
5 260 5 2bl 
6 312 6 313 2 
7 364 7 365 4 




50 


0702 


467 
468 


9536 


129 
129 


276 0197 


521 
522 


.622 9294 


6849 
6847 


10 




8 416 8 417 6 
9 468 9 469 8 


26 





266 1170 




963 9407 




0.276 0719 




3.622 2447 







34 








10 


1637 


467 


9278 


129 


1241 


522 


.621 5602 


6 845 


50 










20 
30 


2104 
2572 


467 
468 


9149 
9020 


129 
129 


1763 
2284 


522 
521 


.620 8760 
.620 1920 


6 842 
6840 


40 
30 




Cotangent 




40 
50 


3039 
3506 


467 
467 
467 


8891 
8762 


129 
129 
129 


2806 
3328 


522 
522 
522 


.619 5083 
.618 8247 


6837 
6836 
6832 


20 
10 




6900 6800 

1 I 690 (}HO 
'2 \ 1380 1360 
3 2070 2040 


27 





0.266 3973 




0.963 8633 




276 3850 




3.6181415 







33 


4 2760 2720 




10 


4441 


468 


8504 


129 


4372 


522 


.617 4585 


6830 


50 




5 3150 3400 




20 
30 
40 


4908 
5375 
5843 


467 
467 
468 


8375 
8245 
8116 


129 
130 
129 


4894 
5416 
5937 


522 
522 
521 


.616 7757 
.616 0931 
.615 4108 


6 828 
6826 
6823 


40 
30 
20 




6 4110 4080 
7 1830 1700 
8 5520 5440 
9 6210 6120 




50 


6310 


467 


7987 


129 


6459 


522 


614 7287 


6 821 


10 














467 




129 




522 




6 818 








6700 


28 





266 6777 




0.963 7858 




0.276 6981 




3.6140469 







32 


1 


670 




10 
20 
30 
40 


7244 
7712 
8179 
8646 


467 
468 
467 
467 


7728 
7599 
7470 
7340 


130 
129 
129 
130 


7503 
8025 
8547 
9069 


522 
522 
522 
522 


.613 3653 
.612 6840 
.612 0028 
.611 3220 


6 816 
6813 
6812 
6808 


50 
40 
30 
20 




2 
3 
4 
5 
6 


1340 
2010 
2680 
3350 
4020 




50 


9113 


467 
468 


7211 


129 
130 


9591 


522 
522 


.610 6413 


6 807 
6804 


10 




7 
8 


4690 
5360 


29 





266 9581 




0.963 7081 




0.277 0113 




3 609 9609 







31 


9 


G0300 




10 


267 0048 


467 


6952 


129 


0635 


522 


.609 2808 


6 801 


50 










20 


0515 


467 


6823 


129 


1157 


522 


608 6008 


6800 


40 










30 


0982 


467 


6693 


130 


1679 


522 


.6079211 


6 797 


30 










40 


1449 


467 


6564 


129 


2201 


522 


.607 2417 


6 794 


20 










50 


1917 


468 


6434 


130 


2723 


522 


.606 5625 


6 792 


10 














467 




129 




522 




6 790 










30 





0.267 2384 




0.9636305 




0.277 3245 




36058835 







30 










Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



74 30' 



94 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
15 30' 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff. 






Proportional Parts 


30 





0.267 2384 




0.963 6306 




0.277 3245 




3 605 8835 







30 








10 


2851 


467 


6175 


130 


3768 


523 


.605 2048 


6 787 


50 










20 


3318 


467 


6045 


130 


4290 


522 


.604 5263 


6 785 


40 










30 


3785 


467 


5916 


129 


4812 


522 


.603 8480 


6783 


30 










40 


4252 


467 


5786 


130 


5334 


522 


.603 1700 


6 780 


20 










50 


4720 


468 
467 


5656 


130 
129 


5856 


522 
522 


.602 4922 


6 778 
6776 


10 




Sine 


31 





0.267 5187 




0.963 5527 




0.277 6378 




3.601 8146 







29 


466 


467 468 




10 


5654 


467 


5397 


130 


6900 


522 


.601 1373 


6773 


50 




1 46 6 


40 7 40 8 




20 
30 


6121 
6588 


467 
467 


5267 
5138 


130 
129 


7423 

7945 


523 
522 


.600 4603 
.599 7834 


6770 
6769 


40 
30 




'2 93 2 
3 139 8 
1 18ft 4 


93 4 93 
140 1 140 4 

180 8 187 1 




40 


7055 


467 


5008 


130 


8467 


522 


.599 1068 


6 766 


20 




5 233 


233 5 234 




50 


7522 


467 


4878 


130 


8989 


522 


.598 4304 


6764 


10 




279 


280 2 280 8 








467 




130 




523 




6761 






7 32(5 2 


326 9 327 


32 



10 


0.267 7989 
8457 


468 


0.963 4748 
4618 


130 


277 9512 
278 0034 


522 


3.597 7543 
597 0784 


6759 



50 


28 


8 372 8 
9 419 4 


373 371 4 
420 3 121 2 




20 


8924 


467 


4488 


130 


0556 


522 


.596 4027 


6 757 


40 










30 


9391 


467 


4359 


129 


1079 


523 


595 7273 


6 754 


30 










40 
50 


9858 
268 0325 


467 
467 
467 


4229 
4099 


130 
130 
130 


1601 
2123 


522 
522 
523 


.595 0521 
.594 3772 


6752 
6749 
6748 


20 
10 




Cosine 

129 130 131 


33 



10 
20 


268 0792 
1259 
1726 


467 
467 


0.963 3969 
3839 
3709 


130 
130 


0.278 2646 
3168 
3690 


522 
522 


3.593 7024 
.593 0280 
.592 3537 


6744 
6743 



50 
40 


27 


1 12 

2 25 8 
3 38 7 
4 51 


13 13 I 
20 20 2 
39 39 3 
52 52 4 




30 


2193 


467 


3579 


130 


4213 


523 


.591 6797 


6 740 


30 




5 01 5 


65 b5 5 




40 
50 


2660 
3127 


467 
467 
467 


3449 
3319 


130 
130 
130 


4735 
5257 


522 
522 
523 


591 0059 
.590 3324 


6738 
6735 
6734 


20 
10 




6 77 1 
7 90 3 
8 103 2 
9 110 1 


78 78 
<)1 91 7 
104 104 8 
117 117 9 


34 





268 3594 




0.963 3189 




278 5780 




3 589 6590 







26 








10 


4061 


467 


3058 


131 


6302 


522 


.588 9860 


6 730 


50 










20 


4528 


467 


2928 


130 


6825 


523 


588 3131 


6729 


40 










30 
40 
50 


4995 
5462 
5929 


467 
467 
467 


2798 
2668 
2538 


130 
130 
130 


7347 
7870 
8392 


522 
523 
522 


.587 6405 
.586 9681 
.586 2960 


6726 
6724 
6721 


30 
20 
10 




Tangent 

522 523 

1 5 ' 5 1 ' 3 








467 




130 




523 




6719 






2 104 4 104 (') 


35 





268 6396 




0.963 2408 




278 8915 




3.585 6241 







25 


3 150 6 150 !) 




10 


6863 


467 


2277 


131 


9437 


522 


.584 9524 


6 717 


50 




4 208 8 209 2 




20 
30 
40 


7330 
7797 
8264 


487 
467 
467 


2147 
2017 
1886 


130 
130 
131 


9960 
0.279 0482 
1005 


523 
522 
523 


.584 2810 
583 6098 
582 9388 


6 714 
6712 
6710 


40 
30 
20 




5 261 2bl ') 
313 2 313 8 
7 305 4 306 1 
8 417 418 4 




50 


8731 


467 


1756 


130 


1528 


523 


582 2680 


6708 


10 




9 409 8 470 7 








467 




130 




522 




6705 










36 





0.268 9198 




963 1626 




279 2050 




3.581 5975 







24> 








10 


9665 


467 


1495 


131 


2573 


523 


.580 9273 


6 702 


50 










20 


0.269 0132 


467 


1365 


130 


3095 


522 


580 2572 


6701 


40 




Cotangent 




30 


0599 


467 


1234 


131 


3618 


523 


579 5874 


6698 


30 




6801 


) 6700 




40 


1066 


467 


1104 


130 


4141 


523 


.578 9178 


6696 


20 




1 080 670 




50 


1533 


467 


0974 


130 


4663 


522 


.578 2485 


6693 


10 




2 1300 1310 








467 




131 




523 




6 691 






3 204 


) 2010 


37 



10 
20 


269 2000 
2467 
2934 


467 
467 


0.963 0843 
0712 
0582 


131 
130 


279 5186 
5709 
6231 


523 
522 


3 577 5794 
576 9105 
576 2418 


6689 
6687 



50 
40 


23 


4 2720 2080 
5 -UOO 3350 
1080 4020 
7 4760 4090 




30 


3401 


467 


0451 


131 


6754 


523 


575 5734 


6 684 


30 




8 5440 53 bO 




40 


3867 


466 


0321 


130 


7277 


523 


.574 9052 


6682 


20 




9 6120 6030 




50 


4334 


467 
467 


0190 


131 
130 


7800 


523 
522 


.574 2373 


6679 
6677 


10 






6600 


38 



10 


0.269 4801 
5268 


467 


963 0060 
962 9929 


131 


0.279 8322 
8845 


523 


3.573 5696 
572 9021 


6675 



50 


22 


1 
2 
3 


060 
1320 
1980 




20 


5735 


467 


9798 


131 


9368 


523 


.572 2348 


6 673 


40 




4 


2640 




30 


6202 


467 


9667 


131 


9891 


523 


.571 5678 


6 670 


30 




5 


3300 




40 
50 


6669 
7136 


467 
467 


9537 
9406 


130 
131 


0.280 0414 
0937 


523 
523 


.570 9010 
.570 2344 


6668 
6666 


20 
10 




6 

7 
8 


3960 
4620 
5280 








466 




131 




522 




6663 






9 


5940 


39 





0.269 7602 




962 9275 




0.280 1459 




3 569 6681 







21 








10 


8069 


467 


9144 


131 


1982 


523 


.568 9020 


6661 


50 










20 


8536 


467 


9014 


130 


2505 


523 


.568 2361 


6659 


40 










30 


9003 


467 


8883 


131 


3028 


523 


.567 5704 


6 657 


30 










40 


9470 


467 


8752 


131 


3551 


523 


.566 9050 


6654 


20 










50 


9936 


466 


8621 


131 


4074 


523 


.566 2398 


6652 


10 














467 




131 




523 




6 649 










40 





0.270 0403 




0.962 8490 




0.280 4597 




3 566 5749 







20 










Coaine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



74 20' 



SINES, COSINES, TANGENTS AND COTANGENTS 
15 40' 



95 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


,* 


Cotangent 


Diff 






Proportional Parts 


40 





0.270 0403 




0.962 8490 




0.280 4597 




3.565 5749 







20 








10 


0870 


467 


8359 


131 


5120 


523 


.564 9102 


6647 


50 










20 


1337 


467 


8228 


131 


5643 


523 


.564 2457 


6 645 


40 










30 


1804 


467 


8097 


131 


6166 


523 


.563 5814 


6 643 


30 










40 


2270 


466 


7966 


131 


6689 


523 


.562 9174 


6 640 


20 










50 


2737 


467 


7835 


131 


7212 


523 


.562 2535 


6 639 


10 














467 




131 




523 




6635 










41 





0.270 3204 




0.962 7704 




0.280 7736 




3.561 5900 







19 




Sine 




10 


3671 


467 


7573 


131 


8258 


523 


.560 9266 


6634 


50 






466 467 




20 


4138 


467 


7442 


131 


8781 


523 


560 2635 


6 631 


40 




1 


46 46 7 




30 


4604 


466 


7311 


131 


9304 


523 


.559 6006 


6 629 


30 




2 


93 2 93 4 




40 
50 


5071 
5538 


467 
467 
466 


7180 
7049 


131 
131 
132 


9827 
0.281 0350 


523 
523 
523 


558 9379 
.558 2755 


6 627 
6624 
6622 


20 
10 




3 
4 
5 


1 W 8 140 1 
186 1 186 8 
213 233 5 


42 





0.270 6004 




0.962 6917 




0.281 0873 




3 557 6133 







18 


6 

7 


279 6 280 2 
3LT> 2 326 9 




10 


6471 


467 


6786 


131 


1396 


523 


.556 9513 


6 620 


50 




8 


372 8 373 6 




20 


6938 


467 


6655 


131 


1919 


523 


.556 2896 


6617 


40 




9 


419 4 420 3 




30 


7405 


467 


6524 


131 


2443 


524 


.555 6281 


6 615 


30 










40 


7871 


466 


6393 


131 


2966 


523 


554 9668 


6 613 


20 










50 


8338 


467 
467 


6261 


132 
131 


3489 


523 
523 


.554 3057 


6611 
6608 


10 






Cosine 


43 





270 8806 




0.962 6130 




0.281 4012 




3.553 6449 







17 


131 132 133 




10 


9271 


466 


5999 


131 


4535 


523 


552 9843 


6 606 


50 




1 111 13 2 13 3 




20 
30 


9738 
271 0205 


467 
467 


5867 
5736 


132 
131 


5059 
5582 


524 
523 


.552 3239 
.551 6637 


6604 
6602 


40 
30 




3 :\( 

\ 5L 


2 26 4 26 6 
3 39 6 39 9 
i r, > s ri3 > 




40 
50 


0671 
1138 


466 
467 


5604 
5473 


132 
131 


6105 
6628 


523 
523 


.551 0038 
.550 3441 


6 599 
6597 


20 
10 




5 6."> 5 06 66 5 
6 78 ( 79 2 79 8 








467 




131 




524 




6 595 






7 91 


7 92 1 93 1 


44 



10 


0.271 1606 
2071 


466 


0.962 5342 
5210 


132 


0.281 7162 
7675 


523 


3.549 6846 
.549 0254 


6592 



50 


16 


8 104 8 105 6 106 4 
9 117 9 118 8 119 7 




20 


2538 


467 


5079 


131 


8198 


523 


.548 3664 


6590 


40 










30 


3005 


467 


4947 


132 


8722 


524 


.547 7076 


6 588 


30 










40 
50 


3471 
3938 


466 
467 
466 


4816 
4684 


131 
132 
132 


9245 
9768 


523 
523 
524 


547 0490 
.546 3907 


6586 
6583 
6582 


20 
10 






Tangent 

523 524 


45 



10 
20 


0.271 4404 
4871 
5338 


467 
467 


0.962 4562 
4421 
4289 


131 
132 


0.282 0292 
0815 
1338 


523 
523 


3.645 7326 
.545 0747 
.544 4170 


6578 
6577 



50 
40 


15 


1 

3 
4 


52 3 52 4 
101 6 104 8 
156 9 157 2 
209 2 209 6 




30 


5804 


466 


4157 


132 


1862 


524 


.543 7596 


6 574 


30 




5 


261 5 262 




40 


6271 


467 


4026 


131 


2385 


523 


.543 1024 


6572 


20 




6 


313 8 314 4 




50 


6737 


466 
467 


3894 


132 
132 


2909 


524 
523 


.542 4454 


6570 
6568 


10 




7 
H 
y 


366 1 366 8 
118 4 419 2 
470 7 471 6 


46 





271 7204 




0.962 3762 




0.282 3432 




3.641 7886 







14 








10 


7671 


467 


3631 


131 


3956 


524 


.541 1321 


6 565 


50 










20 


8137 


466 


3499 


132 


4479 


523 


.540 4758 


6563 


40 










30 
40 
50 


8604 
9070 
9537 


467 
466 
467 
466 


3367 
3235 
3103 


132 
132 
132 
131 


5003 
5526 
6050 


524 
523 
524 
523 


.539 8197 
539 1638 
.538 5082 


6561 
6559 
6556 
6554 


30 
20 
10 




1 


Cotangent 

6700 6600 

670 660 


47 





272 0003 




962 2972 




0.282 6673 




3.537 8528 







13 


A 


2010 1980 




10 


0470 


467 


2840 


132 


7097 


524 


.537 1976 


6 552 


50 




4 


2680 2640 




20 
30 
40 


0936 
1403 
1869 


466 
467 
466 


2708 
2576 
2444 


132 
132 
132 


7620 
8144 
8668 


523 
524 
524 


.536 5427 
.535 8879 
.535 2334 


6549 
6548 
6545 


40 
30 
20 




5 
6 

7 
8 


3350 3300 
4020 3960 
4690 4620 
5360 5280 




50 


2336 


467 


2312 


132 


9191 


523 


.534 5791 


6543 


10 




9 


6030 5940 








466 




132 




524 




6540 










48 





0.272 2802 




0.962 2180 




0.282 9715 




3.533 9261 







12 




6500 




10 


3269 


467 


2048 


132 


0.283 0238 


523 


.533 2712 


6 539 


50 






1 650 




20 
30 


3735 
4202 


466 
467 


1916 
1784 


132 
132 


0762 
1286 


524 
524 


.532 6176 
.531 9642 


6536 
6534 


40 
30 






2 1300 
3 1950 
4 2600 




40 


4668 


466 


1652 


132 


1809 


523 


.531 3111 


6 531 


20 






5 3250 




50 


5135 


467 
466 


1520 


132 
133 


2333 


524 
524 


.530 6581 


6530 
6527 


10 






6 3900 
7 4550 


49 



10 


0.272 6601 
6068 


467 


0.962 1387 
1255 


132 


0.283 2857 
3381 


524 


3.630 0064 
.529 3529 


6525 



50 


11 




8 5200 
9 5850 




20 


6534 


466 


1123 


132 


3904 


523 


.528 7007 


6 522 


40 










30 


7001 


467 


0991 


132 


4428 


524 


.528 0486 


6 521 


30 










40 


7467 


466 


0859 


132 


4952 


524 


.527 3968 


6 518 


20 










50 


7934 


467 


0727 


132 


5476 


524 


.526 7452 


6 516 


10 














466 




133 




523 




6 514 










50 





0.272 8400 




0.962 0594 




0.283 5999 




3.526 0938 







10 










Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff. 


" 


' 


Proportional Parts 



74 10' 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
15 60' 















| 












' 


" 


Sine 


DiiT 


Cosine 


Diff 


TanKont 


Diff 


Cotangent 


Diff 






Propoitional Parts 


60 





0.272 8400 




0.962 0594 




0.283 5999 




3.526 0938 







10 






10 


8866 


466 


0462 


132 


6523 


524 


.525 4427 


6511 


50 








20 


9333 


467 


0330 


132 


7047 


524 


.524 7917 


6 510 


40 








30 


9799 


466 


0197 


133 


7571 


524 


.524 1410 


6507 


30 








40 


0.273 0266 


467 


0065 


132 


8095 


524 


.523 4905 


6 505 


20 








50 


0732 


466 


961 9933 


132 


8619 


524 


.522 8403 


6 502 


10 












466 




133 




524 




6501 






Sine 


51 





0.273 1198 




961 9800 




0.283 9143 




3.522 1902 







9 






10 


1665 


467 


9668 


132 


9666 


523 


.521 5404 


6 498 


50 




466 467 




20 
30 


2131 
2597 


466 
466 


9535 
9403 


133 
132 


0.284 0190 
0714 


524 
524 


.520 8908 
.520 2414 


6496 
6494 


40 
30 




1 4b 6 46 7 
2 D.J 2 93 4 
3 I'M 8 140 1 




40 


3064 


467 


9270 


133 


1238 


524 


.519 5923 


6491 


20 




4 186 4 186 8 




50 


3530 


466 


9138 


132 


1762 


524 


.518 9433 


6 490 


10 




5 233 233 5 








467 




133 




524 




6487 






(5 279 280 2 


52 



10 


273 3997 
4463 


466 


961 9005 
8873 


132 


0.284 2286 
2810 


524 


3.518 2946 
.517 6461 


6485 



50 


8 


7 320 2 320 9 
8 372 8 373 
9 419 4 420 3 




20 


4929 


466 


8740 


133 


3334 


524 


.516 9978 


6483 


40 








30 


5396 


467 


8608 


132 


3858 


524 


.516 3498 


6480 


30 








40 


5862 


466 


8475 


133 


4382 


524 


.515 7020 


6478 


20 








50 


6328 


466 


8342 


133 


4906 


524 


.515 0544 


6476 


10 




Cosine 








466 




132 




524 




6474 








53 



10 


0.273 6794 
7261 


467 


961 8210 
8077 


133 


0.284 5430 
5954 


524 


3.614 4070 
.513 7598 


6472 



50 


7 


132 133 134 

1 13 2 U 3 13 4 

2 2b 4 20 6 20 8 




20 


7727 


466 


7944 


133 


6478 


524 


.513 1129 


6 469 


40 




3 39 b 39 9 40 2 




30 


8193 


466 


7811 


133 


7003 


525 


.512 4661 


6468 


30 




4 52 8 53 2 53 6 




40 
50 


8660 
9126 


467 
466 
466 


7679 
7546 


132 
133 
133 


7527 
8051 


524 
524 
524 


.511 8196 
.511 1733 


6465 
6463 
6460 


20 
10 




5 GO 66 5 67 
b 79 2 79 8 80 4 
7 92 4 93 1 93 8 
8 105 fl 106 4 107 2 


54 





273 9592 




0.961 7413 




0.284 8575 




3.610 5273 







6 


9 118 8 119 7 120 b 




10 


274 0058 


466 


7280 


133 


9099 


524 


.509 8814 


6 459 


50 








20 


0525 


467 


7147 


133 


9623 


524 


.509 2358 


6 456 


40 








30 
40 


0991 
1457 


466 
466 


7015 
6882 


132 
133 


0.285 0147 
0672 


524 
525 


.508 5904 
507 9452 


6 454 
6452 


30 
20 




Tangent 




50 


1923 


466 


6749 


133 


1196 


524 


.507 3002 


6450 


10 




524 525 








467 




133 




524 




6447 






1 52 4 52 5 


66 





0.274 2390 




0.961 6616 




0.285 1720 




3.506 6655 







5 


2 101 8 105 




10 
20 
30 
40 


2856 
3322 
3788 
4255 


466 
466 
466 
467 


6483 
6350 
6217 
6084 


133 
133 
133 
133 


2244 
2769 
3293 
3817 


524 
525 
524 
524 


.5060110 
.505 3667 
.504 7226 
.504 0787 


6 445 
6443 
6441 
6439 


50 
40 
30 
20 




3 157 2 157 5 
4 209 6 210 
5 202 202 5 
fi 314 4 315 
7 366 8 367 5 




50 


4721 


466 
466 


5951 


133 
133 


4341 


524 
525 


.503 4350 


6 437 
6434 


10 




8 419 2 420 
9 471 G 472 5 


56 





0.274 6187 




961 5818 




0.285 4866 




3.502 7916 







4 






10 


5653 


466 


5685 


133 


5390 


524 


.502 1484 


6432 


50 








20 
30 


6119 
6585 


466 
466 


5551 
5418 


134 
133 


5914 
6439 


524 
525 


.501 5054 
.500 8626 


6430 
6428 


40 
30 




Cotangent 




40 


7052 


467 


5285 


133 


6963 


524 


.500 2200 


6426 


20 




6500 6400 




50 


7518 


466 
466 


5152 


133 
133 


7488 


525 
524 


.499 5777 


6423 
6421 


10 




1 050 040 
2 1300 1280 


67 



10 
20 


0.274 7984 
8450 
8916 


466 
466 


0.961 5019 
4885 
4752 


134 
133 


0.285 8012 
8536 
9061 


524 
525 


3.498 9356 
.498 2937 
.497 6520 


6419 
6417 



50 
40 


3 


3 1950 1920 
4 2600 2560 
5 3250 3200 
6 3900 3840 




30 
40 
50 


9382 
9848 
275 0315 


466 
466 
467 


4619 
4486 
4352 


133 
133 
134 


9585 
0.2860110 
0634 


524 
525 
524 


.497 0105 
.496 3692 
.495 7282 


6415 
6413 
6410 


30 
20 
10 




7 4550 4180 
8 5200 5120 
9 5850 5760 








466 




133 




525 




6408 






C9A/) 


58 



10 


0.275 0781 
1247 


466 


0.961 4219 
4086 


133 


0.286 1159 
1683 


524 


3.495 0874 
.494 4468 


6406 



50 


2 


DoUU 

1 630 
2 1260 




20 


1713 


466 


3952 


134 


2208 


525 


.493 8064 


6404 


40 




3 1890 




30 


2179 


466 


3819 


133 


2732 


524 


.493 1662 


6402 


30 




4 2520 




40 
50 


2645 
3111 


466 
466 


3685 
3552 


134 
133 


3257 
3781 


525 
524 


.492 5263 
.491 8865 


6399 
6398 


20 
10 




5 3150 
6 3780 
7 4410 








466 




134 




525 




6395 






8 5010 


69 





0.276 3677 




0.961 3418 




0.286 4306 




3.491 2470 







1 


9 5670 




10 


4043 


466 


3285 


133 


4831 


525 


.490 6077 


6 393 


50 








20 


4509 


466 


3151 


134 


5355 


524 


.489 9686 


6391 


40 








30 


4975 


466 


3018 


133 


5880 


525 


.489 3298 


6388 


30 








40 


5441 


466 


2884 


134 


6405 


525 


.4886911 


6387 


20 








50 


5908 


467 


2751 


133 


6929 


524 


.488 0527 


6384 


10 












466 




134 




525 




6383 








60 





0.275 6374 




961 2617 




0.286 7454 




3.487 4144 
















Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff. 


" 


' 


Proportional Parts 



74 o' 



SINES, COSINES, TANGENTS AND COTANGENTS 
16 0' 



97 



' 


" 


Si lie 


DifT 


Cosine 


DifT 


Tangent 


DifT 


Cotangent 


Diff 






Proportional Partw 








0.275 6374 




0.961 2617 




0.286 7454 




3.487 4144 







60 








10 


6840 


466 


2483 


134 


7979 


525 


.486 7764 


6380 


50 










20 


7306 


466 


2350 


133 


8503 


524 


.486 1386 


6378 


40 










30 


7772 


466 


2216 


134 


9028 


525 


485 5011 


6375 


30 










40 


8238 


466 


2082 


134 


9553 


525 


.484 8637 


6374 


20 










50 


8704 


466 


1949 


133 


287 0078 


525 


.484 2266 


6371 


10 














466 




134 




524 




6370 










1 





0.275 9170 




0.961 1815 




0.287 0602 




3.483 5896 







69 


Sine 




10 


9636 


466 


1681 


134 


1127 


525 


.482 9529 


6367 


50 




465 


466 




20 


0.276 0102 


466 


1547 


134 


1652 


525 


.482 3164 


6365 


40 




1 45 


5 46 6 




30 
40 


0568 
1034 


466 
466 


1413 
1280 


134 
133 


2177 
2701 


525 
524 


.481 6801 
481 0441 


6363 
6360 


30 
20 




2 93 93 2 

3 no 5 130 8 

4 180 lN<i 4 




50 


1500 


466 


1146 


134 


3226 


525 


.480 4082 


6359 


10 




5 232 


5 233 








465 




134 




525 




6356 






6 270 


279 b 


2 





0.276 1965 




961 1012 




0.287 3751 




3 479 7726 







58 


7 325 


5 32(> 2 




10 

20 


2431 
2897 


466 
466 


0878 
0744 


134 
134 


4276 
4801 


525 
525 


.479 1371 
478 5019 


6355 
6352 


50 
40 




8 372 
9 418 


372 8 
5 119 4 




30 


3363 


466 


0610 


134 


5326 


525 


.477 8669 


6350 


30 










40 


3829 


466 


0476 


134 


5851 


525 


477 2322 


6347 


20 










50 


4295 


466 


0342 


134 


6375 


524 


.476 5976 


6346 


10 




Cosine 








466 




134 




525 




6344 










3 





0.276 4761 




0.961 0208 




0.287 6900 




3.476 9632 







67 


133 


134 135 




10 
20 


5227 
5693 


466 
466 


0074 
0.960 9940 


134 
134 


7425 
7950 


525 
525 


475 3291 
474 6952 


6341 
6339 


50 
40 




1 13 3 
2 2b h 
3 3 ( ) ( ) 


13 4 13 n 

26 8 27 
40 2 40 5 




30 


6159 


466 


9806 


134 


8475 


525 


.474 0614 


6338 


30 




4 53 2 


53 6 54 




40 


6625 


466 


9672 


134 


9000 


525 


473 4279 


6335 


20 




f> 66 5 


67 67 5 




50 


7091 


466 
465 


9537 


135 
134 


9525 


525 
525 


.472 7947 


6332 
6331 


10 




71) 8 
7 <M 1 


80 4 81 
93 8 94 5 


4 



10 


0.276 7556 
8022 


466 


0.960 9403 
9269 


134 


0.288 0060 
0575 


525 


3.472 1616 
.471 5287 


6329 



50 


56 


8 KM) 4 
9 11) 7 


107 2 108 
120 6 121 5 




20 


8488 


466 


9135 


134 


1100 


525 


.470 8961 


6326 


40 










30 


8954 


466 


9001 


134 


1625 


525 


.470 2636 


6325 


30 










40 


9420 


466 


8866 


135 


2151 


526 


.469 6314 


6 322 


20 




Tangent 




50 


9886 


466 
466 


8732 


134 
134 


2676 


525 
525 


.468 9994 


6 320 
6318 


10 




524 


525 526 


5 



10 


0.277 0352 
0817 


465 


960 8598 
8463 


135 


0.288 3201 
3726 


525 


3 468 3676 
.467 7360 


6316 



50 


55 


1 52 4 
2 104 8 
3 157 2 


52 5 52 6 
105 105 2 
157 5 157 8 




20 


1283 


466 


8329 


134 


4251 


525 


.467 1046 


6314 


40 




4 201) b 


210 210 4 




30 
40 
50 


1749 
2215 
2681 


466 
466 
466 


8195 
8060 
7926 


134 
135 
134 


4776 
5301 
5826 


525 
525 
525 


466 4735 
.465 8425 
.465 2118 


6311 
6310 
6307 


30 
20 
10 




5 262 
6 314 4 

7 366 8 
8 411) 2 


262 5 263 
315 315 6 
3b7 5 308 2 
420 420 8 








466 




134 




526 




6305 






9 171 b 


472 5 473 4 


6 





0.277 3147 




0.960 7792 




0.288 6362 




3.464 6813 







54 








10 


3612 


465 


7657 


135 


6877 


525 


.463 9510 


6 303 


50 










20 
30 


4078 
4544 


466 
466 


7523 
7388 


134 
135 


7402 
7927 


525 
525 


.463 3209 
.462 6910 


6 301 
6299 


40 
30 




Cotangent 




40 


5010 


466 


7254 


134 


8453 


526 


.462 0613 


6297 


20 




6400 6300 




50 


5475 


465 


7119 


135 


8978 


525 


.461 4318 


6295 


10 




1 640 630 








466 




135 




525 




6292 






2 12H( 


1260 


7 



10 
20 
30 


0.277 5941 
6407 
6873 
7338 


466 
466 
465 


0.960 6984 
6850 
6715 
6581 


134 
135 
134 


0.288 9503 
289 0028 
0554 
1079 


525 
526 
525 


3.460 8026 
460 1735 
.459 5447 
.458 9161 


6291 
6288 
6286 



50 
40 
30 


63 


3 1920 1890 
4 2560 2520 
5 3200 31.50 
6 3840 3780 
7 4480 4410 




40 
50 


7804 
8270 


466 
466 


6446 
6311 


135 
135 


1604 
2130 


525 
526 


.458 2877 
.457 6595 


6284 
6282 


20 
10 




8 5120 5040 
9 5700 5670 








466 




134 




525 




6280 










8 



10 
20 


0.277 8736 
9201 
9667 


465 
466 


0.960 6177 
6042 
5907 


135 
135 


0.289 2665 
3181 
3706 


526 
525 


3.467 0315 
.456 4037 
.455 7761 


6278 
6276 



50 
40 


52 


1 

3 


6200 

620 
1240 
1860 




30 


0.278 0133 


466 


5772 


135 


4231 


525 


.455 1488 


6273 


30 




4 


2480 




40 
50 


0598 
1064 


465 
466 
466 


5638 
5503 


134 
135 
135 


4757 
5282 


526 
525 
526 


.454 5216 
.453 8947 


6272 
6269 
6268 


20 
10 




5 
6 

7 
8 


3100 
3720 
4340 
4960 


9 





0.278 1530 




0.960 6368 




0.2895808 




3.463 2679 







61 


9 


5580 




10 


1996 


466 


5233 


135 


6333 


525 


.452 6414 


6 265 


50 










20 


2461 


465 


5098 


135 


6859 


526 


.452 0151 


6 263 


40 










30 


2927 


466 


4963 


135 


7384 


525 


.451 3890 


6261 


30 










40 


3393 


466 


4828 


135 


7910 


526 


.450 7631 


6259 


20 










50 


3858 


465 


4693 


135 


8435 


525 


.450 1374 


6 257 


10 














466 




135 




526 




6254 










10 





0.278 4324 




0.960 4558 




0.289 8961 




3.449 5120 







50 










Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Propoitional Parts 



73 50' 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
16 10' 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Propoitional Parts 


10 





0.278 4324 




0.960 4558 




0.289 8961 




3.449 5120 







50 






10 


4789 


465 


4423 


135 


9486 


525 


.448 8867 


6 253 


50 








20 


5255 


466 


4288 


135 


0.290 0012 


526 


.448 2616 


6 251 


40 








30 


5721 


466 


4153 


135 


0538 


526 


.447 6368 


6 248 


30 








40 


6186 


465 


401$ 


135 


1063 


525 


.447 0122 


6 246 


20 








50 


6652 


466 
466 


3883 


135 
135 


1589 


526 
525 


.446 3877 


6245 
6242 


10 




Sine 


11 





278 7118 




0.960 3748 




0.290 2114 




3 445 7635 







49 


465 466 




10 


7583 


465 


3613 


135 


2640 


526 


.445 1395 


6 240 


50 




1 46 5 46 6 




20 


8049 


466 


3478 


135 


3166 


526 


.444 5157 


6238 


40 




2 93 93 2 




30 
40 
50 


8514 
8980 
9445 


465 
466 
465 
466 


3343 
3207 
3072 


135 
136 
135 
135 


3691 
4217 
4743 


525 
526 
526 
526 


443 8921 
.443 2687 
4426455 


6 236 
6234 
6232 
6229 


30 
20 
10 




3 139 5 139 8 
4 186 18b 4 
5 232 5 233 
b 279 279 6 
7 325 5 326 2 


12 



10 


278 9911 
279 0377 


466 


0.960 2937 
2802 


135 


0.290 5269 
5794 


525 


3.442 0226 
.441 3998 


6228 



50 


48 


8 372 372 8 
9 418 5 41!) 4 




20 


0842 


465 


2666 


136 


6320 


526 


.440 7773 


6 225 


40 








30 


1308 


466 


2531 


135 


6846 


526 


.440 1549 


6 224 


30 








40 
50 


1773 
2239 


465 
466 


2396 
2260 


135 
136 


7372 
7897 


526 
525 


.439 5328 
.438 9108 


6221 
6220 


20 
10 




Cosine 








465 




135 




526 




6 217 






135 136 137 


13 





279 2704 




960 2125 




0.290 8423 




3 438 2891 







47 


1 H 5 13 6 13 7 




10 
20 


3170 
3635 


466 
465 


1989 
1854 


136 
135 


8949 
9475 


526 
526 


437 6676 
437 0463 


6 215 
6213 


50 
40 




2 27 27 2 27 4 
3 10 5 40 8 41 1 
1 54 54 4 54 8 




30 
40 


4101 
4566 


466 
465 


1719 
1583 


135 
136 


291 0001 
0527 


526 
526 


.436 4252 
.435 8043 


6 211 
6209 


30 
20 




5 67 5 68 68 5 
6 81 81 6 82 2 




50 


5032 


466 
465 


1448 


135 
136 


1053 


526 
525 


.435 1836 


6 207 
6205 


10 




7 94 5 95 2 95 9 
8 108 108 8 109 6 


14 





279 6497 




0.960 1312 




291 1678 




3.434 5631 







46 


9 121 5 122 1 123 3 




10 


5963 


466 


1177 


135 


2104 


526 


.433 9429 


6202 


50 








20 


6428 


465 


1041 


136 


2630 


526 


.433 3228 


6 201 


40 








30 
40 
50 


6894 
7359 
7825 


466 
465 
466 
465 


0905 
0770 
0634 


136 
135 
136 
135 


. 3156 
3682 
4208 


528 
526 
526 
526 


.432 7029 
.432 0833 
.431 4638 


6 199 
6196 
6195 
6192 


30 
20 
10 




Tangent 

525 526 527 3 

1 52 5 52 6 52 7 


15 



10 


279 8290 
8756 


466 


960 0499 
0363 


136 


0.291 4734 
5260 


526 


3.430 8446 
.430 2255 


6191 




50 


45 


2 105 105 2 105 4 
3 157 5 157 8 158 1 
1 210 210 4 210 8 




20 


9221 


465 


0227 


136 


5786 


526 


.429 6067 


6 188 


40 




5 262 5 263 263 5 




30 
40 
50 


9686 
280 0152 
0617 


465 
466 
465 


0091 
0.959 9956 
9820 


136 
135 
136 


6312 
6838 
7364 


526 
526 
526 


.428 9881 
.428 3697 
.427 7514 


6 186 
6184 
6183 


30 
20 
10 




b 315 315 6 316 2 
7 -ib7 5 368 2 368 9 
8 120 420 8 421 6 
9 172 5 473 4 474 3 








466 




136 




526 




6 180 








16 





0.280 1083 




0.959 9684 




291 7890 




3.427 1334 







4l 






10 


1548 


465 


9548 


136 


8417 


527 


.426 5156 


6 178 


50 








20 
30 
40 
50 


2013 
2479 
2944 
3410 


465 
466 
465 
466 


9413 
9277 
9141 
9005 


135 
136 
136 
136 


8943 
9469 
9995 
292 0521 


526 
526 
526 
526 


.425 8980 
425 2806 
424 6634 
.424 0465 


6 176 
6174 
6172 
6169 


40 
30 
20 
10 




Cotangent 

6300 6200 

1 630 620 
2 1260 1240 








465 




136 




526 




6 168 






3 1890 1860 


17 





0.280 3876 




0.959 8869 




0.2921047 




3.423 4297 







43 


4 2520 2480 




10 
20 
30 


4340 
4806 
5271 


465 
466 
465 


8733 
8597 
8461 


136 
136 
136 


1573 
2100 
2626 


526 
527 
528 


.422 8131 
.422 1967 
.421 5806 


6 166 
6164 
6161 


50 
40 
30 




5 3150 3100 
6 3780 3720 
7 4410 4340 
8 5040 4960 




40 


5736 


465 


8325 


136 


3152 


526 


.420 9646 


6 160 


20 




9 5670 5580 




50 


6202 


466 


8189 


136 


3678 


526 


.420 3489 


6 157 


10 












465 




136 




527 




6 156 






6100 


18 



10 
20 


0.280 6667 
7132 
7598 


465 
466 


0.969 8053 
7917 
7781 


136 
136 


0.292 4206 
4731 
5257 


526 
526 


3.419 7333 
.419 1180 
.418 5028 


6153 
6152 



50 
40 


42 


1 610 
2 1220 
3 1830 
4 2440 




30 


8063 


465 


7645 


136 


5784 


527 


.417 8879 


6 149 


30 




5 3050 




40 
50 


8528 
8994 


465 
466 
465 


7508 
7372 


137 
136 
136 


6310 
6836 


526 
526 
527 


.417 2731 
.416 6586 


6 148 
6145 
6143 


20 
10 




6 3660 
7 4270 
8 4880 


19 





280 9459 




0.959 7236 




0.292 7363 




3.416 0443 







41 


9 5490 




10 


9924 


465 


7100 


136 


7889 


526 


.415 4301 


6 142 


50 








20 
30 


281 0389 
0855 


465 
466 


6964 
6827 


136 
137 


8415 
8942 


526 
527 


.414 8162 
.414 2025 


6 139 
6137 


40 
30 








40 


1320 


465 


6691 


136 


9468 


526 


.413 5890 


6 135 


20 








50 


1785 


465 


6555 


136 


9995 


527 


.412 9757 


6 133 


10 












466 




137 




526 




6 131 








20 





0.281 2251 




0.959 6418 




0.293 0621 




3.412 3626 







40 








Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff. 


" 


' 


Proportional Parts 



73 40' 



SINES, COSINES, TANGENTS AND COTANGENTS 

16 20' 



99 



' 


" 


Sine 


Diff 


Cosmo 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 


20 





0.281 2251 




0.959 6418 




0.293 0521 




3.412 3626 







40 






10 


2716 


465 


6282 


136 


1047 


526 


.411 7497 


6 129 


50 








20 


3181 


465 


6146 


136 


1574 


527 


.411 1370 


6 127 


40 








30 


3646 


465 


6009 


137 


2100 


526 


.410 5244 


6126 


30 








40 


4111 


465 


5873 


136 


2627 


527 


.409 9121 


6 123 


20 




Sine 




50 


4577 


466 


5736 


137 


3153 


526 


.409 3001 


6 120 


10 




464 465 466 








465 




136 




527 




6 119 








21 





281 5042 




0.969 5600 




0.293 3680 




3.408 6882 







39 


1 40 4 4fi 5 JO 6 
2 02 8 93 93 2 




10 


5507 


465 


5463 


137 


4206 


526 


.408 0765 


6 117 


50 




3 HO 2 l.M 5 130 8 




20 


5972 


465 


5327 


136 


4733 


527 


.407 4650 


6 115 


40 




4 18") b 18(> 186 4 




30 


6437 


465 


5190 


137 


5260 


527 


.406 8537 


6 113 


30 




o 232 232 5 233 




40 


6903 


466 


5054 


136 


5786 


526 


.406 2426 


6 111 


20 




7 321 8 325 5 320 2 




50 


7368 


465 


4917 


137 


6313 


527 


.405 6317 


6109 


10 




8 371 2 372 372 8 








465 




136 




526 




6107 






9 417 6 418 5 419 4 


22 





0.281 7833 




0.959 4781 




0.293 6839 




3.405 0210 







38 






10 


8298 


465 


4644 


137 


7366 


527 


.404 4105 


6105 


50 








20 
30 


8763 
9229 


465 
466 


4507 
4371 


137 
136 


7893 
8419 


527 
526 


.403 8003 
.403 1902 


6102 
6101 


40 
30 




Cosine 




40 


9694 


465 


4234 


137 


8946 


527 


.402 5803 


6099 


20 




136 137 138 




50 


282 0159 


465 


4097 


137 


9473 


527 


.401 9706 


6 097 


10 




1 13 13 7 13 8 








465 




136 




526 




6094 






2 27 2 27 4 27 b 


23 



10 
20 


282 0624 
1089 
1554 


465 
465 


0.959 3961 
3824 
3687 


137 
137 


0.293 9999 
294 0526 
1053 


527 
527 


3.401 3612 
.400 7519 
.400 1428 


6093 
6091 



50 
40 


37 


3 10 8 41 1 41 4 
1 51 t 51 8 55 '2 
5 08 08 5 00 
81 82 2 82 8 




30 


2019 


465 


3550 


137 


1580 


527 


.399 5339 


6089 


30 




7 05 2 9 r ) 9 !)0 




40 
50 


2484 
2949 


465 
465 


3413 
3277 


137 
136 


2106 
2633 


526 
527 


.398 9253 
.398 3168 


6 086 
6085 


20 
10 




8 108 8 100 6 110 4 
9 U2 1 12,3 3 124 2 








466 




137 




527 




6083 








24 





282 3415 




0.959 3140 




0.294 3160 




3.397 7085 







36 






10 
20 


3880 
4345 


465 
465 


3003 
2866 


137 
137 


3687 
4214 


527 
527 


397 1005 
.396 4926 


6 080 
6079 


50 
40 




Tangent 




30 


4810 


465 


2729 


137 


4741 


527 


.395 8849 


6077 


30 




526 527 528 




40 
50 


5275 
5740 


465 
465 
465 


2592 
2455 


137 
137 
137 


5267 
5794 


526 
527 
527 


.395 2774 
.394 6702 


6 075 
6072 
6071 


20 
10 




1 52 52 7 52 8 
2 Id") 2 105 4 105 6 
3 T>7 8 158 1 158 4 
4 210 4 210 8 211 2 


25 



10 


282 6206 
6670 


465 


959 2318 
2181 


137 


0.294 6321 
6848 


527 


3 394 0631 
.393 4562 


6069 



50 


35 


5 203 2b3 5 264 
(> .{13 f) 310 2 31b 8 




20 
30 
40 


7135 
7600 
8065 


465 
465 
465 


2044 
1907 
1770 


137 
137 
137 


7375 
7902 
8429 


527 
527 
527 


.392 8496 
392 2431 
.391 6368 


6066 
6065 
6063 


40 
30 
20 




7 308 2 308 9 369 6 
8 1 >0 8 421 422 4 
9 173 4 474 3 475 2 




50 


8530 


465 


1633 


137 


8956 


527 


.391 0307 


6 061 


10 












465 




137 




527 




6058 








26 



10 


282 8995 
9460 


465 


0.959 1496 
1358 


138 


294 9483 
0.295 0010 


527 


3.390 4249 
.389 8192 


6057 



50 


34 


Cotangent 




20 
30 
40 


9925 
283 0390 
0855 


465 
465 
465 


1221 
1084 
0947 


137 
137 
137 


0537 
1064 
1591 


527 
527 
527 


.389 2137 
.388 6084 
.388 0034 


6055 
6053 
6050 


40 
30 
20 




6200 6100 

1 020 610 
2 1210 () 1220 
3 18W) 1830 




50 


1320 


465 


0809 


138 


2118 


527 


.387 3985 


6 049 


10 




4 2180 2140 








465 




137 




527 




6 047 






5 3100 3050 


27 





0.283 1785 




0.969 0672 




0.295 2645 




3 386 7938 







33 


<> 3720 3000 




10 
20 


2250 
2715 


465 
465 


0535 
0398 


137 
137 


3172 
3699 


527 
527 


.386 1893 
.385 5850 


6045 
6043 


50 
40 




7 4310 4270 
8 4900 4880 
9 5580 5490 




30 


3180 


465 


0260 


138 


4226 


527 


.384 9810 


6 040 


30 








40 


3645 


465 


0123 


137 


4753 


527 


.384 3771 


6 039 


20 




6000 




50 


4110 


465 
465 


0.958 9985 


138 
137 


5281 


528 
527 


.383 7734 


6 037 
6035 


10 




1 600 
2 1200 


28 



10 
20 


0.283 4575 
5040 
5505 


465 
465 


0.958 9848 
9711 
9573 


137 
138 


0.295 5808 
6335 
6862 


527 
527 


3.383 1699 
.382 5666 
.381 9635 


6033 
6031 



50 
40 


32 


3 1800 
4 2100 
5 3000 
6 3600 




30 


5970 


465 


9436 


137 


7389 


527 


.381 3606 


6 029 


30 




7 4200 




40 
50 


6434 
6899 


464 
465 


9298 
9161 


138 
137 


7917 
8444 


528 
527 


380 7579 
.380 1554 


6 027 
6025 


20 
10 




8 4800 
9 5400 








465 




138 




527 




6 023 








29 





0.283 7364 




0.958 9023 




0.295 8971 




3.379 6531 







31 






10 


7829 


465 


8886 


137 


9498 


527 


.378 9510 


6 021 


50 








20 


8294 


465 


8748 


138 


0.296 0026 


528 


.378 3491 


6 019 


40 








30 


8759 


465 


8610 


138 


0553 


527 


.377 7474 


6017 


30 








40 


9224 


465 


8473 


137 


1080 


527 


.377 1459 


6 015 


20 








50 


9689 


465 


8335 


138 


1608 


528 


.376 5445 


6 014 


10 












464 




138 




527 




6011 








30 





284 0153 




0.958 8197 




0.296 2135 




3.375 9434 







30 








Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



73 30' 



100 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
16 30' 



' 


" 


Sine 


]>iff 


Cosine 


Did 


Tangent 


Diff 


Cotangent 


Diff 






Propoitional Parts 


30 





0.284 0153 




0.958 8197 




0.296 2135 




3.375 9434 







30 








10 


0618 


465 


8060 


137 


2662 


527 


.375 3425 


6 009 


50 










20 


1083 


465 


7922 


138 


3190 


528 


.374 7418 


6007 


40 










30 


1548 


465 


7784 


138 


3717 


527 


.374 1412 


6006 


30 










40 
50 


2013 
2478 


465 
465 


7646 
7509 


138 
137 


4244 
4772 


527 
528 


.373 5409 
.372 9408 


6003 
6001 


20 
10 






Sine 








464 




138 




527 




6000 








464 465 


31 



10 


02842942 
3407 


465 


0.958 7371 
7233 


138 


0.296 6299 

5827 


528 


3.372 3408 
.371 7411 


5997 



50 


29 


1 


46 4 46 5 
92 8 93 




20 
30 
40 
50 


3872 
4337 
4802 
5266 


465 
465 
465 
464 


7095 
6957 
6819 
6681 


138 
138 
138 
138 


6354 
6882 
7409 
7937 


527 
528 
527 
528 


.371 1415 
370 5422 
.369 9430 
369 3440 


5996 
5993 
5992 
5990 


40 
30 
20 
10 




3 
4 

6 

7 


139 2 139 5 
185 6 186 
232 232 5 
278 4 279 
324 8 325 5 








465 




138 




527 




5987 






8 


371 2 372 


32 





0.284 5731 




0.968 6543 




0.296 8464 




3.368 7453 







28 


9 


417 6 418 5 




10 


6196 


465 


6405 


138 


8992 


528 


368 1467 


5 986 


50 










20 


6661 


465 


6267 


138 


9519 


527 


.367 5483 


5984 


40 










30 
40 


7125 
7590 


464 
465 


6129 
5991 


138 
138 


0.297 0047 
0575 


528 
528 


366 9502 
366 3522 


5981 
5980 


30 
20 






Cosine 




50 


8055 


465 


5853 


138 


1102 


527 


.365 7544 


5978 


10 




137 


138 139 








465 




138 




528 




5 976 






1 13 


7 13 8 13 9 


33 



10 
20 
30 


284 8520 
8984 
9449 
9914 


464 
465 
465 


0.958 5715 

5577 
5439 
5301 


138 
138 
138 


0.297 1630 
2157 
2685 
3213 


527 
528 
528 


3 365 1668 
.364 5594 
.363 9622 
363 3652 


5974 
5972 
5970 



50 
40 
30 


27 


3 41 

4 54 
f, 68 
82 


4 27 b 27 8 
1 41 4 41 7 
8 55 2 55 6 
5 69 69 5 
2 82 8 83 4 




40 
50 


0.285 0379 
0843 


465 
464 
465 


5163 
5024 


138 
139 
138 


3740 
4268 


527 
528 
528 


362 7683 
.362 1717 


5 969 
5966 
5964 


20 
10 




7 95 
8 109 
9 123 


9 96 6 97 3 
6 110 4 111 2 
3 124 2 125 1 


34 





285 1308 




0.958 4886 




0.297 4796 




3 361 5753 







26 








10 


1773 


465 


4748 


138 


5324 


528 


360 9791 


5 962 


50 










20 
30 
40 


2237 
2702 
3167 


464 
465 
465 


4610 
4471 
4333 


138 
139 
138 


5851 
6379 
6907 


527 
528 
528 


360 3830 
.359 7872 
.359 1915 


5961 
5958 
5957 


40 
30 
20 




527 


Tangent 

528 529 




50 


3631 


464 
465 


4195 


138 
139 


7435 


528 
527 


358 5961 


5954 
5953 


10 




2 ii)5 


7 52 8 52 9 
4 105 6 105 8 


35 





285 4096 




0.958 4056 




0.297 7962 




3.368 0008 







25 


3 158 
4 210 


1 l r >8 4 158 7 
8 211 2 211 6 




10 


4561 


465 


3918 


138 


8490 


528 


357 4057 


5951 


50 




5 263 


5 264 264 5 




20 


5025 


464 


3780 


138 


9018 


528 


.356 8109 


5 948 


40 




31 fi 


2 316 8 317 4 




30 
40 


5490 
5954 


465 
464 
465 


3641 
3503 


139 
138 
139 


9546 
0.298 0074 


528 
528 
528 


356 2162 
.355 6217 


5947 
5945 
5 943 


30 
20 




7 308 
8 421 
9 474 


9 369 6 370 3 
6 422 4 423 2 
3 475 2 476 1 




50 


6419 




3364 




0602 




355 0274 




10 














465 




138 




527 




5941 










36 





0.285 6884 




958 3226 




0.298 1129 




3.354 4333 







24> 








10 
20 


7348 
7813 


464 
465 


3087 
2949 


139 
138 


1657 
2185 


528 
528 


353 8394 
353 2457 


5 939 
5937 


50 
40 




Cotangent 




30 


8277 


464 


2810 


139 


2713 


528 


352 6522 


5935 


30 






6000 




40 
50 


8742 
9207 


465 
465 


2672 
2533 


138 
139 


3241 
3769 


528 
528 


.352 0588 
.351 4657 


5934 
5931 


20 
10 






1 600 
2 1200 
3 1800 








464 




139 




528 




5929 








4 2400 


37 





0.285 9671 




0.958 2394 




298 4297 




3.350 8728 







23 




5 3000 




10 


0.286 0136 


465 


2256 


138 


4825 


528 


.350 2800 


5928 


50 






6 3600 




20 
30 
40 


0600 
1065 
1529 


464 
465 
464 


2117 

1978 
1840 


139 
139 
138 


5353 
5881 
6409 


528 
528 
528 


.349 6874 
349 0951 
348 5029 


5 926 
5923 
5922 


40 
30 
20 






7 4200 
8 4800 
9 5400 




50 


1994 


465 


1701 


139 


6937 


528 


.347 9109 


5920 


10 






5900 








464 




139 




528 




5918 








1 590 


38 





0.286 2458 




0.958 1562 




0.298 7466 




3.347 3191 







22 




2 1180 




10 
20 
30 
40 


2923 
3388 
3852 
4317 


465 
465 
464 
465 


1423 
1284 
1146 
1007 


139 
139 
138 
139 


7993 
8522 
9050 
9578 


528 
529 
528 
528 


346 7275 
.346 1361 
.345 5449 
.344 9539 


5916 
5914 
5912 
5910 


50 
40 
30 
20 






3 1770 
4 2360 
5 2950 
6 3540 
7 4130 




50 


4781 


464 
465 


0868 


139 
139 


0.299 0106 


528 
528 


.3443631 


5 908 
5907 


10 






8 4720 
9 5310 


39 





286 5246 




0.958 0729 




0.299 0634 




3.343 7724 







21 








10 


5710 


464 


0590 


139 


1162 


528 


.343 1820 


5904 


50 










20 


6174 


464 


0451 


139 


1691 


529 


.342 5917 


5903 


40 










30 


6639 


465 


0312 


139 


2219 


528 


.342 0017 


5900 


30 










40 


7103 


464 


0173 


139 


2747 


528 


.341 4118 


5899 


20 










50 


7568 


465 


0034 


139 


3275 


528 


.340 8221 


5897 


10 














464 




139 




528 




5895 










40 





0.286 8032 




0.957 9895 




0.299 3803 




3.340 2326 







20 










Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



73 20' 



SINES, COSINES, TANGENTS AND COTANGENTS 
16 40' 



101 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff. 






Proportional Parts 


40 



10 


0.286 8032 
8497 


465 


0.957 9895 
9756 


139 


0.299 3803 
4332 


529 


3.340 2326 
.339 6433 


5893 



50 


20 






20 


8961 


464 


9617 


139 


4860 


528 


.339 0542 


5 891 


40 








30 


9426 


465 


9478 


139 


5388 


528 


.338 4653 


5889 


30 








40 


9890 


464 


9339 


139 


5917 


529 


.337 8766 


5 887 


20 








50 


0.287 0354 


464 


9200 


139 


6445 


528 


.337 2880 


5886 


10 




Sine 








465 




140 




528 




5 883 








41 



10 


0.287 0819 
1283 


464 


0.957 9060 
8921 


139 


0.299 6973 
7502 


529 


3.336 6997 
.336 1115 


5882 



50 


19 


464 165 

1 1(5 4 40 5 
'2 92 8 915 




20 


1748 


465 


8782 


139 


8030 


528 


.335 5236 


5 879 


40 




'5 1.59 2 1J9 5 




30 


2212 


464 


8643 


139 


8558 


528 


.334 9358 


5 878 


30 




4 185 18b 




40 
50 


2676 
3141 


464 
465 


8504 
8364 


139 
140 


9087 
9615 


529 
528 


.334 3482 
.333 7608 


5 876 
5874 


20 
10 




278 1 279 
7 .521 8 325 5 








464 




139 




529 




5 872 






8 .571 2 .572 


42 





0.287 3605 




0.957 8225 




0.300 0144 




3.333 1736 







18 


9 417 b 418 5 




10 


4070 


465 


8086 


139 


0672 


528 


.332 5866 


5 870 


50 








20 


4534 


464 


7946 


140 


1201 


529 


.331 9997 


5 869 


40 








30 
40 


4998 
5463 


464 
465 


7807 
7668 


139 
139 


1729 
2258 


528 
529 


.331 4131 
.330 8267 


5 866 
5864 


30 
20 




Cosine 




50 


5927 


464 


7528 


140 


2786 


528 


.330 2404 


5863 


10 




139 140 141 








464 




139 




529 




5 861 






1 1.5 9 110 111 


43 





0.287 6391 




0.957 7389 




0.300 3315 




3.329 6543 







17 


2 27 8 28 28 '2 




10 


6856 


465 


7249 


140 


3843 


528 


.329 0684 


5859 


50 




'', 11 7 12 42 .'5 




20 
30 


7320 
7784 


464 
464 


7110 
6970 


139 
140 


4372 
4900 


529 
528 


.328 4828 
.327 8973 


5 856 
5855 


40 
30 




4 55 (> 5(3 U 50 1 
5 09 5 70 70 5 
b 8.5 4 81 81 




40 


8249 


465 


6831 


139 


5429 


529 


.3273119 


5854 


20 




7 97 .5 98 98 7 




50 


8713 


464 


6691 


140 


5958 


529 


.326 7268 


5 851 


10 




S 111 2 112 112 S 








464 




139 




528 




5 849 






9 125 1 IJb 121) 9 


44 





0.287 9177 




0.957 6552 




0.300 6486 




3.326 1419 







16 






10 


9641 


464 


6412 


140 


7015 


529 


.325 5571 


5 848 


50 








20 
30 


0.288 0106 
0570 


465 
464 


6272 
6133 


140 
139 


7544 
8072 


529 
528 


.324 9726 
.324 3882 


5845 
5844 


40 
30 




Tangent 




40 


1034 


464 


5993 


140 


8601 


529 


.323 8040 


5842 


20 




528 529 530 




50 


1498 


464 


5853 


140 


9130 


529 


.323 2200 


5 840 


10 




1 52 8 52 9 5'5 








465 




139 




528 




5838 






2 I0 r ) ( 10") S l!)t) 


45 



10 


0.288 1963 
2427 


464 


0.957 5714 

5574 


140 


300 9658 
301 0187 


529 


3 322 6362 
.322 0526 


5836 



50 


15 


.5 r>H 1 158 7 159 
1 211 2 211 6 212 
5 2(il 2l>4 r > 2*r> 




20 


2891 


464 


5434 


140 


0716 


529 


321 4692 


5834 


40 




HO 8 .'517 4 .518 




30 
40 
50 


3355 
3820 
4284 


464 
465 
464 


5294 
5155 
5015 


140 
139 
140 


1245 
1773 
2302 


529 
528 
529 


.320 8859 
.320 3029 
.319 7200 


5 833 
5830 
5829 


30 
20 
10 




7 .509 () o70 .5 .571 
8 422 4 42.5 2 421 
9 475 '2 470" 1 177 








464 




140 




529 




5827 








46 





288 4748 




0.957 4875 




0.301 2831 




3.319 1373 







14 






10 
20 
30 


5212 
5676 
6141 


464 
464 
465 


4735 
4595 
4455 


140 
140 
140 


3360 
3889 
4418 


529 
529 
529 


.318 5548 
.317 9725 
.317 3904 


5 825 
5823 
5821 


50 
40 
30 




Cotangent 

5900 5800 




40 
50 


6605 
7069 


464 
464 


4315 
4175 


140 
140 


4946 
5475 


528 
529 


.316 8085 
.316 2268 


5819 
5817 


20 
10 




1 590 580 ( 
2 11 SO 1 !(',() ( 
5 1770 1710 ( 








464 




140 




529 




5816 






4 2.500 2.520 ( 


47 





0.288 7533 




0.957 4035 




0.301 6004 




3.315 6452 







13 


5 2950 () 2900 ( 




10 
20 
30 


7997 
8461 
8926 


464 
464 
465 


3895 
3755 
3615 


140 
140 
140 


6533 
7062 
7591 


529 
529 
529 


.315 0638 
.314 4827 
.313 9017 


5814 
5811 
5810 


50 
40 
30 




(> 5510 .m') ( 
7 11150 4000 
S 1720 4C40 
9 5:510 5220 




40 


9390 


464 


3475 


140 


8120 


529 


.313 3209 


5 808 


20 








50 


9854 


464 


3335 


140 


8649 


529 


.312 7402 


5 807 


10 




5700 








464 




140 




529 




5 804 






1 570 


48 



10 
20 


0.289 0318 
0782 
1246 


464 
464 


0.957 3195 
3055 
2915 


140 
140 


0.301 9178 
9707 
0.302 0236 


529 
529 


3.312 1598 
.311 5795 
.310 9995 


5803 
5800 



50 
40 


12 


2 1110 
;5 1710 
4 22KO 
5 ''H50 




30 


1710 


464 


2774 


141 


0765 


529 


.310 4196 


5 799 


30 




.'5120 




40 
50 


2174 
2638 


464 
464 
465 


2634 
2494 


140 
140 
140 


1294 
1823 


529 
529 
529 


.309 8399 
.309 2604 


5 797 
5795 
5793 


20 
10 




7 .'5990 
8 4500 
9 5130 


49 





0.289 3103 




0.957 2354 




0.302 2352 




3 308 6811 







11 






10 


3567 


464 


2214 


140 


2881 


529 


.308 1020 


5 791 


50 








20 


4031 


464 


2073 


141 


3411 


530 


.307 5230 


5 790 


40 








30 


4495 


464 


1933 


140 


3940 


529 


.306 9443 


5787 


30 








40 


4959 


464 


1793 


140 


4469 


529 


.306 3657 


5 786 


20 








50 


5423 


464 


1652 


141 


4998 


529 


.305 7873 


5 784 


10 












464 




140 




529 




5782 








50 





0.289 5887 




0.957 1612 




0.302 5527 




3.305 2091 







10 








Cosmo 


Diff 


Sine 


Diff 


Cotanent 


Diff 


Tangent 


Diff. 


n 


' 


Proportional Parts 



73 10' 



102 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
16 50' 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff. 


Cotangent 


Diff. 






Proportional Parts 


60 





0.289 6887 




0.957 1512 




0.302 6527 




3.305 2091 







10 








10 


6351 


464 


1371 


141 


6056 


529 


.3046311 


5 780 


50 










20 


6815 


464 


1231 


140 


6586 


530 


.304 0532 


5779 


40 










30 


7279 


464 


1091 


140 


7115 


529 


.303 4756 


5776 


30 










40 


7743 


464 


0950 


141 


7644 


529 


.302 8981 


5 775 


20 










50 


8207 


464 
464 


0810 


140 
141 


8173 


529 
530 


.302 3208 


5773 
5770 


10 




Sine 


61 





0.289 8671 




0.967 0669 




0.302 8703 




3.301 7438 







9 


463 464 




10 


9135 


464 


0529 


140 


9232 


529 


301 1668 


5770 


50 




1 46 3 46 4 




20 
30 


9599 
0.290 0063 


464 
464 


0388 
0247 


141 
141 


9761 
0.303 0291 


529 
530 


.300 5901 
.300 0136 


5767 
5765 


40 
30 




2 92 6 92 8 
3 138 9 139 2 
4 185 2 185 6 




40 


0527 


464 


0107 


140 


0820 


529 


.299 4372 


5 764 


20 




5 231 5 232 




50 


0991 


464 
464 


956 9966 


141 
141 


1349 


529 
530 


.2988611 


5761 
5760 


10 




6 277 8 278 4 
7 32 J 1 324 8 


52 



10 


0.290 1455 
1919 


464 


0.956 9825 
9685 


140 


0.303 1879 
2408 


529 


3.298 2851 
.297 7093 


5758 



50 


8 


8 370 4 371 2 
9 416 7 417 6 




20 


2383 


464 


9544 


141 


2937 


529 


.297 1336 


5757 


40 










30 


2847 


464 


9403 


141 


3467 


530 


296 5582 


5754 


30 










40 


3311 


464 


9263 


140 


3996 


529 


.295 9830 


5 752 


20 




Cosine 




50 


3775 


464 
464 


9122 


141 
141 


4526 


530 
529 


295 4079 


5 751 
5749 


10 




140 


141 142 


53 



10 


0.290 4239 
4702 


463 


0.956 8981 
8840 


141 


0.303 5055 

5585 


530 


3.294 8330 
294 2583 


5747 



50 


7 


1 14 

2 28 
3 42 


14 1 14 2 

28 2 28 4 
1-' 3 42 b 




20 


5166 


464 


8699 


141 


6114 


529 


293 6838 


5745 


40 




4 5(j 


50 4 5b 8 




30 
40 
50 


5630 
6094 
6558 


464 
464 
464 


8559 
8418 
8277 


140 
141 
141 


6644 
7173 
7703 


530 
529 
530 


.293 1095 
.292 5353 
.291 9613 


5743 
5742 
5740 


30 
20 
10 




5 70 
b 84 
7 98 
8 112 


70 5 71 
81 b 85 2 
98 7 99 4 
112 8 113 6 








464 




141 




529 




5737 






9 12b 


126 9 127 8 


54 





0.290 7022 




0.956 8136 




0.303 8232 




3.291 3876 







6 








10 


7486 


464 


7995 


141 


8762 


530 


290 8140 


5736 


50 










20 
30 


7950 
8414 


464 
464 


7854 
7713 


141 
141 


9291 
9821 


529 
530 


.290 2405 
289 6673 


5735 
5732 


40 
30 




Tangent 




40 


8877 


463 


7572 


141 


304 0351 


530 


.289 0943 


5 730 


20 




529 


530 531 




50 


9341 


464 


7431 


141 


0880 


529 


288 5214 


5729 


10 




1 52 9 


53 53 1 








464 




141 




530 




5727 






2 105 8 


106 106 2 


55 





290 9805 




0.956 7290 




0.304 1410 




3.287 9487 







5 


3 158 7 


159 159 3 




10 
20 
30 


291 0269 
0733 
1197 


464 
464 
464 


7149 
7008 
6867 


141 
141 
141 


1940 
2469 
2999 


530 
529 
530 


.287 3762 
286 8039 
286 2317 


5725 
5723 
5722 


50 
40 
30 




4 211 b 
5 2b4 5 
b 317 4 

7 370 3 


212 212 4 
265 265 5 
318 318 b 
371 371 7 




40 


1660 


463 


6725 


142 


3529 


530 


285 6598 


5 719 


20 




8 423 2 


421 424 8 




50 


2124 


464 


6584 


141 


4058 


529 


.285 0880 


5718 


10 




9 47G 1 


477 477 9 








464 




141 




530 




5716 










66 





291 2588 




0.956 6443 




0.304 4588 




3.284 5164 







4 








10 
20 


3052 
3516 


464 
464 


6302 
6161 


141 
141 


5118 
5648 


530 
530 


.283 9450 
283 3738 


5714 
5712 


50 
40 




Cotangent 




30 


3979 


463 


6019 


142 


6178 


530 


.282 8027 


5711 


30 




5800 5700 




40 


4443 


464 


5878 


141 


6707 


529 


282 2319 


5708 


20 




1 580 570 




50 


4907 


464 
464 


5737 


141 
142 


7237 


530 
530 


.281 6612 


5707 
5705 


10 




'2 11 (10 (j 1140 
3 1740 1710 


67 



10 
20 


291 5371 
5834 
6298 


463 
464 


0.956 5595 
5454 
5313 


141 
141 


0.304 7767 
8297 
8827 


530 
530 


3.281 0907 
.280 5204 
.279 9502 


5703 
5702 



50 
40 


3 


1 2m 2280 
5 2900 2850 
b 3480 3420 
7 lObO 3990 




30 
40 


6762 
7226 


464 
464 


5171 
5030 


142 
141 


9357 
9887 


530 
530 


279 3803 
.278 8105 


5 699 
5698 


30 
20 




8 1bM) 45t)0 
! 5220 5130 




50 


7689 


463 


4888 


142 


305 0416 


529 


.278 2409 


56% 


10 






5600 








464 




141 




530 




5694 










58 



10 


0.291 8153 
8617 


464 


0.956 4747 
4605 


142 


0.305 0946 
1476 


530 


3.277 6715 
.277 1023 


5692 



50 


2 


1 

2 
3 


560 
1120 
1680 




20 


9080 


463 


4464 


141 


2006 


530 


.276 5332 


5 691 


40 




4 


2240 




30 
40 
50 


9544 
0.292 0008 
0471 


464 
464 
463 


4322 
4181 
4039 


142 
141 
142 


2536 
3066 
3596 


530 
530 
530 


275 9643 
.275 3956 
.274 8271 


5 689 
5687 
5685 


30 
20 
10 




5 
6 

7 
8 


2800 
3360 
3920 
4480 








464 




141 




530 




5 683 






9 


5040 


59 





0.292 0935 




0.956 3898 




0.305 4126 




3.274 2688 







1 








10 


1399 


464 


3756 


142 


4656 


530 


.273 6907 


5 681 


50 










20 


1862 


463 


3614 


142 


5186 


530 


.273 1227 


5 680 


40 










30 


2326 


464 


3473 


141 


5716 


530 


.272 5549 


5 678 


30 










40 


2790 


464 


3331 


142 


6247 


531 


271 9873 


5 676 


20 










50 


3253 


463 


3189 


142 


6777 


530 


.271 4199 


5 674 


10 














464 




141 




530 




5673 










60 





0.292 3717 




0.956 3048 




0.305 7307 




3 270 8526 


















Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff. 


" 


' 


Proportional Parts 



73 0' 



SINES, COSINES, TANGENTS AND COTANGENTS 
17 0' 



103 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 








0.292 3717 




0.956 3048 




0.305 7307 




3.270 8626 







60 






10 


4181 


464 


2906 


142 


7837 


530 


270 2856 


5670 


50 








20 


4644 


463 


2764 


142 


8367 


530 


.269 7187 


5 669 


40 








30 


5108 


464 


2622 


142 


8897 


530 


.269 1520 


5667 


30 








40 


5572 


464 


2480 


142 


9427 


530 


.268 5854 


5 666 


20 








50 


6035 


463 


2339 


141 


9958 


531 


.268 0191 


5 663 


10 




Sine 








464 




142 




530 




5662 








1 



10 
20 


0.292 6499 
6962 
7426 


463 
464 


0.956 2197 
2055 
1913 


142 
142 


0.3060488 
1018 
1548 


530 
530 


3.267 4629 
266 8869 
.2663211 


5660 
5658 



50 
40 


69 


463 464 

1 40 3 4b 4 

2 92 92 8 
3 138 9 139 2 




30 


7889 


463 


1771 


142 


2079 


531 


.265 7555 


5656 


30 




\ 185 "2 185 6 




40 


8353 


464 


1629 


142 


2609 


530 


.265 1900 


5 655 


20 




5 231 5 232 




50 


8817 


464 
463 


1487 


142 
142 


3139 


530 
531 


264 6247 


5 653 
5651 


10 




277 8 278 4 
7 mi 324 8 


2 





0.292 9280 




0.956 1345 




0.306 3670 




3.264 0696 







58 


8 370 1 371 2 
9 416 7 417 6 




10 


9744 


464 


1203 


142 


4200 


530 


263 4947 


5 649 


50 








20 


0.293 0207 


463 


1061 


142 


4730 


530 


.262 9300 


5647 


40 








30 


0671 


464 


0919 


142 


5261 


531 


262 3654 


5646 


30 








40 


1134 


463 


0777 


142 


5791 


530 


.261 8011 


5643 


20 




Cosine 




50 


1598 


464 


0635 


142 


6321 


530 


261 2368 


5 643 


10 




142 143 144 








463 




143 




531 




5 640 








3 



10 


0.293 2061 
2525 


464 


0.956 0492 
0350 


142 


0.306 6852 
7382 


530 


3.260 6728 
260 1090 


5638 



50 


67 


1 14 2 14 3 14 4 

2 28 4 28 28 8 
3 42 t> 42 9 43 2 




20 


2988 


463 


0208 


142 


7913 


531 


.259 5453 


5 637 


40 




4 50 8 57 2 57 b 




30 


3452 


464 


0066 


142 


8443 


530 


258 9818 


5635 


30 




5 71 71 5 72 




40 
50 


3915 
4379 


463 
464 


955 9924 
9781 


142 
143 


8973 
9504 


530 
531 


258 4185 
.257 8554 


5633 
5631 


20 
10 




S"> 2 8} 8 80 1 
7 99 t 100 1 100 8 
8 113 (i 111 4 115 2 








463 




142 




530 




5 630 






9 127 S 128 7 129 


4 





0.293 4842 




0.955 9639 




0.307 0034 




3.257 2924 







66 






10 


5306 


464 


9497 


142 


0565 


531 


.256 7296 


5628 


50 








20 
30 


5769 
6233 


463 
464 


9355 
9212 


142 
143 


1096 
1626 


531 
530 


256 1670 
255 6046 


5 626 
5624 


40 
30 




Tangent 




40 


6696 


463 


9070 


142 


2157 


531 


.255 0424 


5622 


20 




530 531 




50 


7159 


463 


8927 


143 


2687 


530 


254 4803 


5 621 


10 




1 53 ")! 1 








464 




142 




531 




5 619 






'2 lOb 10() 2 


5 



10 
20 


0.293 7623 
8086 
8550 


463 
464 


0.956 8786 
8643 
8500 


142 
143 


0.307 3218 
3748 
4279 


530 
531 


3 253 9184 
253 3567 
.252 7952 


5617 
5615 



50 
40 


55 


3 159 159 3 
4 212 212 4 
5 205 20> 5 
fo 318 J18 6 




30 


9013 


463 


8358 


142 


4810 


531 


.252 2338 


5614 


30 




7 371 M\ 1 




40 
50 


9476 
9940 


463 
464 


8215 
8073 


143 
142 


5340 
5871 


530 
531 


251 6726 
.251 1116 


5612 
5610 


20 
10 




8 121 421 8 

9 477 477 9 








463 




143 




531 




5 608 








6 





294 0403 




956 7930 




0.307 6402 




3.260 5508 







54 






10 
20 


0867 
1330 


464 
463 


7788 
7645 


142 
143 


6932 
7463 


530 
531 


.249 9902 
249 4297 


5606 
5605 


50 
40 




Cotangent 




30 


1793 


463 


7502 


143 


7994 


531 


248 8694 


5603 


30 




5700 




40 
50 


2257 
2720 


464 
463 
463 


7360 
7217 


142 
143 
143 


8525 
9055 


531 
530 
531 


.248 3093 
.247 7493 


5 601 
5600 
5598 


20 
10 




1 570 
'2 1140 
3 1710 
4 2280 


7 



10 


0.294 3183 
3647 


464 


0.966 7074 
6932 


142 


0.307 9686 
03080117 


531 


3 247 1895 
.246 6300 


5595 



50 


63 


5 2850 
6 3420 




20 
30 
40 


4110 
4573 
5037 


463 
463 
464 


6789 
6646 
6503 


143 
143 
143 


0648 
1179 
1709 


531 
531 
530 


246 0705 
245 5113 
244 9522 


5 595 
5592 
5591 


40 
30 
20 




7 3990 
8 4500 
9 5130 




50 


5500 


463 


6361 


142 


2240 


531 


.244 3933 


5 589 


10 




5600 5500 








463 




143 




531 




5 587 






1 500 550 


8 



10 
20 
30 
40 


0.294 5963 
6427 
6890 
7353 
7816 


464 
463 
463 
463 


965 6218 
6075 
5932 
5789 
5646 


143 
143 
143 
143 


0.308 2771 
3302 
3833 
4364 
4895 


531 
531 
531 
531 


3.243 8346 
243 2761 
.242 7177 
.242 1595 
.241 6015 


5585 
5584 
5582 
5580 



50 
40 
30 
20 


62 


2 1120 1100 
3 1080 1050 
1 2240 2200 
5 2SOO 2750 
3300 3300 
7 3920 3850 




50 


8280 


464 
463 


5503 


143 
142 


5426 


531 
531 


241 0437 


5 578 
5577 


10 




8 4180 4400 
9 5040 4950 


9 



10 


0.294 8743 
9206 


463 


0.955 6361 
5218 


143 


0.308 5957 
6488 


531 


3.240 4860 
239 9286 


5574 



50 


51 






20 


9669 


463 


5075 


143 


7019 


531 


.239 3712 


5 574 


40 








30 


295 0133 


464 


4932 


143 


7550 


531 


.238 8141 


5 571 


30 








40 


0596 


463 


4789 


143 


8081 


531 


.238 2572 


5 569 


20 








50 


1059 


463 
463 


4645 


144 
143 


8612 


531 
531 


.237 7004 


5 568 
5566 


10 






10 





0.295 1622 




0.955 4602 




0.308 9143 




3.237 1438 







50 








Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff. 


" 


' 


Proportional Parts 



72 60' 



104 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
17 10' 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff. 






PM> loitional Parts 


10 





0.295 1522 




0.955 4502 




0.308 9143 




3.237 1438 







50 






10 
20 


1986 
2449 


464 
463 


4359 
4216 


143 
143 


9674 
0.309 0205 


531 
531 


.236 5873 
.2360311 


5 565 
5562 


50 
40 




Sine 




30 


2912 


463 


4073 


143 


0736 


531 


.235 4750 


5 561 


30 




462 463 464 




40 


3375 


463 


3930 


143 


1267 


531 


.234 9191 


5559 


20 




1 40 2 40 3 4b 4 




50 


3838 


463 
464 


3787 


143 
144 


1799 


532 
531 


.234 3633 


5558 
5555 


10 




2 02 4 92 92 8 
A 138 () 138 9 139 2 


11 



10 


0.295 4302 
4765 


463 


0.955 3643 
3500 


143 


0.309 2330 
2861 


531 


3 233 8078 
.233 2524 


5554 



50 


49 


1 1S4 8 185 2 1X5 b 
5 231 231 5 232 
(> 277 2 277 8 278 4 




20 


5228 


463 


3357 


143 


3392 


531 


.232 6972 


5 552 


40 




7 3>3 4 324 1 321 8 




30 


5691 


463 


3214 


143 


3923 


531 


.232 1421 


5 551 


30 




8 309 370 4 371 2 




40 


6154 


463 


3070 


144 


4455 


532 


231 5873 


5548 


20 




9 115 8 41(5 7 417 G 




50 


6617 


463 


2927 


143 


4986 


531 


.231 0326 


5547 


10 












464 




143 




531 




5 546 








12 



10 


295 7081 
7544 


463 


0.965 2784 
2640 


144 


309 5517 
6048 


531 


3.230 4780 
.229 9237 


5543 



50 


48 


Cosine 




20 


8007 


463 


2497 


143 


6580 


532 


.229 3695 


5542 


40 




143 144 145 




30 
40 


8470 
8933 


463 
463 


2353 
2210 


144 
143 


7111 
7642 


531 
531 


228 8155 
228 2617 


5540 
5538 


30 
20 




1 14 3 14 4 It 5 

2 28 6 28 8 29 
3 12 9 43 2 43 5 




50 


9396 


4C3 


2067 


143 


8174 


532 


.227 7080 


5537 


10 




I :>7 2 57 58 








463 




144 




531 




5534 






,"> 71 5 72 72 5 


13 





295 9859 




0.955 1923 




0.309 8705 




3.227 1546 







47 


, S> 8 86 4 87 




10 


296 0322 


463 


1780 


143 


9236 


531 


.226 6013 


5533 


50 




7 I'M) 1 KM) 8 101 5 




20 
30 


0785 
1248 


463 
463 


1636 
1492 


144 
144 


9768 
310 0299 


532 
531 


.226 0481 
225 4952 


5532 
5529 


40 
30 




s lit 4 115 2 lit) 

') ll-'S 7 129 130 5 




40 


1711 


463 


1349 


143 


0831 


532 


.224 9424 


5 528 


20 








50 


2175 


464 


1205 


144 


1362 


531 


.224 3898 


5526 


10 












463 




143 




531 




5525 






Tangent 


14 



10 


296 2638 
3101 


463 


0.965 1062 
0918 


144 


0.310 1893 
2425 


532 


3.223 8373 
.223 2851 


5522 



50 


46 


531 532 




20 


3564 


463 


0774 


144 


2956 


531 


222 7330 


5 521 


40 




1 


M 1 T>> JL 
lOb ' 10(> 4 




30 


4027 


463 


0631 


143 


3488 


532 


.222 1810 


5 520 


30 




ii 


l.V) 3 159 




40 


4490 


463 


0487 


144 


4019 


531 


.221 6293 


5517 


20 




4 


212 1 212 8 




50 


4953 


463 


0343 


144 


4551 


532 


.221 0777 


5516 


10 




5 


I'tw 5 2(')() 








463 




144 




532 




5514 






b 


318 1) 319 2 


16 





296 5416 




966 0199 




310 6083 




3.220 6263 







45 


% 


571 7 372 4 
-124 8 125 




10 


5879 


463 


0056 


143 


5614 


531 


.219 9751 


5 512 


50 




i 


177 9 478 8 




20 


6342 


463 


954 9912 


144 


6146 


532 


219 4240 


5 511 


40 








30 


6805 


463 


9768 


144 


6677 


531 


.218 8731 


5509 


30 








40 
50 


7268 
7731 


463 
463 


9624 
9480 


144 
144 


7209 
7741 


532 
532 


.218 3224 
.217 7719 


5507 
5505 


20 
10 




Cotangent 








463 




144 




531 




5504 
































SRfiO &540 


16 



10 


296 8194 
8657 


463 


954 9336 
9193 


143 


310 8272 
8804 


532 


3.217 2215 
216 6713 


5502 



50 


44 


1 


5 r >0 554 
1112 1108 




20 


9120 


463 


9049 


144 


9336 


532 


.216 1213 


5500 


40 




3 


biiS 1M)2 




30 


9583 


463 


8905 


144 


9867 


531 


.215 5714 


5499 


30 




4 


222 2210 




40 
50 


297 0045 
0508 


462 
463 


8761 
8617 


144 
144 


0.311 0399 
0931 


532 
532 


.215 0217 
.214 4722 


5497 
5495 


20 
10 







2780 2770 
3Uf> 3321 
3S92 3S7S 








463 




144 




531 




5494 






8 


4M8 4H2 


17 





297 0971 




954 8473 




0.311 1462 




3 213 9228 







43 


9 


5001 4986 




10 


1434 


463 


8329 


144 


1994 


532 


.213 3737 


5491 


50 








20 


1897 


463 


8185 


144 


2526 


532 


.212 8247 


5490 


40 




5520 5500 




30 
40 


2360 
2823 


463 
463 


8040 
7896 


145 
144 


3058 
3590 


532 
532 


.212 2758 
.211 7272 


5489 
5486 


30 
20 




1 

2 
'! 


552 550 
1101 1100 
()")(> 1050 




50 


3286 


463 


7752 


144 


4121 


531 


211 1787 


5 485 


10 




4 


2208 2200 








463 




144 




532 




5483 






5 


27bO 2750 


18 



10 
20 
30 


297 3749 
4212 
4674 
5137 


463 
462 
463 


954 7608 
7464 
7320 
7175 


144 
144 
145 


311 4653 
5185 
5717 
6249 


532 
532 
532 


3.210 6304 
.210 0822 
.209 5342 
.208 9864 


5482 
5480 
5478 



50 
40 
30 


42 


b 

7 
8 
9 


3312 3300 
)804 3850 
4110 4100 
4908 4950 




40 


5600 


463 


7031 


144 


6781 


532 


.208 4388 


5 476 


20 




5480 5460 




50 


6063 


463 


6887 


144 


7313 


532 


.207 8913 


5475 


10 




1 


518 54 (i 








463 




144 




532 




5473 






2 


1096 1092 


19 



10 
20 
30 


0.297 6526 
6989 
7452 
7914 


463 
463 
462 


954 6743 
6598 
6454 
6310 


145 
144 
144 


0.311 7846 
8376 
8908 
9440 


531 
532 
532 


3.207 3440 
.206 7969 
.206 2499 
.205 7032 


5471 
5470 
5467 



50 
40 
30 


41 


3 
4 

r> 

6 

7 


1044 1638 
2192 2184 
2740 2730 
3288 327ft 
3830 3822 




40 
50 


8377 
8840 


463 
463 


6165 
6021 


145 
144 


9972 
0.312 0504 


532 
532 


.205 1565 
.204 6101 


5467 
5464 


20 
10 




8 
9 


4384 4368 
4932 4914 








463 




145 




532 




5463 








20 





0.297 9303 




0.954 5876 




0.312 1036 




3.204 0638 







40 








Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



72 40' 



SINES, COSINES, TANGENTS AND COTANGENTS 
17 20' 



105 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 


20 





0.297 9303 




0.954 5876 




312 1036 




3.2040638 







40 






10 
20 


9766 
0.298 0228 


463 
462 


5732 

5587 


144 
145 


1569 
2101 


533 
532 


.203 5177 
.202 9718 


5 461 
5459 


50 
40 




Sine 




30 


0691 


463 


5443 


144 


2633 


532 


.202 4260 


5458 


30 




462 463 




40 


1154 


463 


5298 


145 


3165 


532 


.201 8804 


5 456 


20 




1 


46 2 40 3 




50 


1617 


463 
462 


5154 


144 
145 


3697 


532 
532 


.201 3350 


5 454 
5453 


10 




2 
3 


92 \ 92 
138 h 13S 9 


21 



10 


0.298 2079 
2542 


463 


0.964 5009 
4865 


144 


312 4229 
4761 


532 


3.200 7897 
.200 2446 


5451 



50 


39 


4 

5 


181 8 185 2 
231 231 5 

277 2 277 $ 




20 


3005 


463 


4720 


145 


5293 


532 


.1996997 


5449 


40 




7 


323 4 324 1 




30 
40 


3468 
3930 


463 
462 


4575 
4431 


145 
144 


5825 
6358 


532 
533 


.199 1549 
.198 6104 


5448 
5445 


30 
20 




8 
9 


309 370 4 
415 8 416 7 




50 


4393 


463 


4286 


145 


6890 


532 


.1980659 


6445 


10 












463 




145 




532 




5442 








22 



10 


0.298 4856 
5319 


463 


0.954 4141 
3997 


144 


0.312 7422 
7954 


532 


3.197 6217 
.1969776 


5441 



50 


38 


Cosine 




20 


5781 


462 


3852 


145 


8487 


533 


.1964337 


5439 


40 




144 145 146 




30 
40 
50 


6244 
6707 
7169 


463 
463 
462 


3707 
3562 
3418 


145 
145 
144 


9019 
9551 
0.3130083 


532 
532 
532 


.1958900 
.1953464 
.1948030 


5437 
5436 
5434 


30 
20 
10 




1 14 4 14 5 14 6 

2 28 8 29 29 2 
3 43 2 43 5 43 8 
4 57 6 58 58 4 








463 




145 




533 




5 432 






5 72 72 5 73 


23 





0.298 7632 




0.954 3273 




0.313 0616 




3.194 2598 







37 


86 4 87 87 6 




10 
20 
30 


8095 
8557 
9020 


463 
462 
463 


3128 
2983 
2838 


145 
145 
145 


1148 
1680 
2213 


532 
532 
533 


.193 7167 
.193 1738 
.1926311 


5 431 
5429 
5427 


50 
40 
30 




7 100 8 101 5 102 2 
8 115 2 lib 110 8 
9 129 6 130 5 131 4 




40 


9483 


463 


2693 


145 


2745 


532 


192 0885 


5 426 


20 








50 


9945 


462 


2548 


145 


3278 


533 


.191 5461 


5424 


10 












463 




145 




532 




5422 






Tangent 


24 



10 


0.299 0408 
0871 


463 


0.954 2403 
2258 


145 


0.313 3810 
4342 


532 


3.191 0039 
.1904618 


5421 



50 


36 


532 533 




20 
30 


1333 
1796 


462 
463 


2113 
1968 


145 
145 


4875 
5407 


533 
532 


.1899199 
.1893782 


5419 
5417 


40 
30 




1 

2 
3 


53 2 53 3 
106 4 10G 6 
159 ) 159 9 




40 


2258 


462 


1823 


145 


5940 


533 


.1888366 


5 416 


20 




4 


212 8 213 2 




50 


2721 


463 


1678 


145 


6472 


532 


.1882953 


5413 


10 




5 


260 2fi6 5 








463 




145 




533 




5413 









319 2 319 8 


26 



10 


0.299 3184 
3646 


462 


0.964 1633 
1388 


145 


0.313 7006 
7537 


532 


3.187 7540 
187 2130 


5410 



50 


35 


7 
8 
9 


372 4 373 1 
425 6 426 4 
478 8 479 7 




20 


4109 


463 


1243 


145 


8070 


533 


.1866721 


5409 


40 








30 


4571 


462 


1098 


145 


8603 


533 


.186 1314 


5407 


30 








40 


5034 


463 


0952 


146 


9135 


532 


.185 5908 


5406 


20 








50 


5496 


462 


0807 


145 


9668 


533 


.185 0504 


5404 


10 




Cotangent 








463 




145 




532 




5 402 








26 



10 


0.299 6959 
6422 


463 


0.954 0662 
0517 


145 


0.314 0200 
0733 


533 


3.184 5102 
.183 9702 


5400 



50 


34 


i 

2 


5460 5440 

540 544 
1092 1088 




20 


6884 


462 


0371 


146 


1266 


533 


.183 4303 


5 399 


40 




3 


1638 1032 




30 


7347 


463 


0226 


145 


1798 


532 


.182 8906 


5397 


30 




4 


2184 2170 




40 
50 


7809 
8272 


462 
463 


0081 
0.953 9935 


145 
146 


2331 
2864 


533 
533 


.1823510 
.181 8116 


5396 
5394 


20 
10 




5 
6 

7 


2730 2720 
3276 3264 
3822 3808 








462 




145 




532 




5392 






8 


4308 (1 4352 


27 





0.299 8734 




0.963 9790 




0.314 3396 




3.181 2724 







33 


9 


4914 4896 




10 


9197 


463 


9645 


145 


3929 


533 


.1807333 


5391 


50 








20 


9659 


462 


9499 


146 


4462 


533 


.180 1945 


5388 


40 




5420 5400 




30 
40 
50 


0.300 0122 
0584 
1047 


463 
462 
463 


9354 
9208 
9063 


145 
146 

145 


4995 
5527 
6060 


533 
532 
533 


.1796557 
.179 1172 
.178 5788 


5388 
5385 
5384 


30 
20 
10 




1 

.J 
4 


512 540 
108t 1080 
1G26 1620 
2168 21M) 








462 




146 




533 




5382 






5 


2710 2700 


28 





0.300 1609 




0.953 8917 




0.314 6593 




3.178 0406 







32 




3252 3240 




10 
20 
30 


1971 
2434 
2896 


462 
463 
462 


8772 
8626 
8481 


145 
146 
145 


7126 
7659 
8191 


533 
533 
532 


.177 5025 
.176 9646 
.1764269 


5381 
5379 
5377 


50 
40 
30 




8 
9 


i7 l )4 3780 
1330 4320 
4878 4860 




40 


3359 


463 


8335 


146 


8724 


533 


.175 8893 


5376 


20 




5380 5360 




50 


3821 


462 


8189 


146 


9257 


533 


.1753519 


5374 


10 




1 


538 () 530 








463 




145 




533 




5372 






2 


1076 1072 


29 



10 
20 
30 


0.300 4284 
4746 
5208 
5671 


462 
462 
463 


0.953 8044 
7898 
7752 
7607 


146 
146 
145 


314 9790 
0.315 0323 
0856 
1389 


533 
533 
533 


3.174 8147 
.1742776 
.173 7407 
.173 2040 


5371 
5369 
5367 



50 
40 
30 


31 


3 
4 
5 
6 

7 


1014 1(>08 
2152 2114 
2690 2680 
3228 3216 
3700 3752 




40 
50 


6133 
6596 


462 
463 


7461 
7315 


146 
146 


1922 
2455 


533 
533 


.172 6674 
.172 1310 


5366 
5364 


20 
10 




8 
9 


1304 4288 
1812 4821 








462 




145 




533 




5362 








30 





0.300 7058 




0.953 7170 




0.316 2988 




3.171 6948 







30 








Cosine 


Diff. 


Sine 


Diff. 


Cotangent 


Diff. 


Tangent 


Diff. 





' 


Proportional Part* 



72 30' 



106 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
17 30' 



' 


" 


Sine 


Diff. 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 


30 





0.300 7068 




0.963 7170 




0.315 2988 




3 171 5948 







30 






10 
20 


7520 
7983 


462 
463 


7024 
6878 


146 
146 


3521 
4054 


533 
533 


.171 0587 
.170 5228 


5 361 
5359 


50 
40 




Sine 




30 


8445 


462 


6732 


146 


4587 


533 


.1699871 


5357 


30 




462 463 




40 


8907 


462 


6586 


146 


5120 


533 


.169 4515 


5 356 


20 




1 


40 2 46 3 




50 


9370 


463 
462 


6440 


146 
146 


5653 


533 
533 


.168 9161 


5354 
5353 


10 




2 
3 


92 4 92 6 
138 6 138 9 


31 



10 
20 


0.300 9832 
0.301 0294 
0757 


462 
463 


0.963 6294 
6148 
6002 


146 
146 


0.315 6186 
6719 
7252 


533 
533 


3 168 3808 
.167 8457 
.1673108 


5351 
5349 



50 
40 


29 


4 

6 

7 


184 8 185 2 
231 231 5 
277 2 277 8 
323 4 324 1 




30 
40 


1219 
1681 


462 
462 


5857 
5711 


145 
146 


7786 
8319 


534 
533 


.1667761 
.1662415 


5 347 
5346 


30 
20 




8 
9 


369 6 370 4 
415 8 416 7 




50 


2144 


463 


5565 


146 


8852 


533 


.165 7070 


5345 


10 












462 




147 




533 




5 342 








32 



10 


0.301 2606 
3068 


462 


0.963 6418 
5272 


146 


0.316 9386 
9918 


533 


3.165 1728 
.1646387 


5341 



50 


28 


Cosine 




20 


3531 


463 


5126 


146 


0.316 0452 


534 


164 1047 


5340 


40 




145 146 147 




30 


3993 


462 


4980 


146 


0985 


533 


.163 5710 


5 337 


30 




1 14 5 14 6 14 7 




40 
50 


4455 
4917 


462 
462 


4834 
4688 


146 
146 


1518 
2051 


533 
533 


.163 0374 
.162 5039 


5336 
5335 


20 
10 




2 25) 29 2 29 4 
3 13 5 43 8 44 1 

4 . r >8 58 4 38 8 








463 




146 




534 




5333 






5 72 /> 73 73 5 


33 





0.301 6380 




0.963 4642 




0.316 2585 




3.161 9706 







27 


() 87 87 6 88 2 




10 


5842 


462 


4396 


146 


3118 


533 


.161 4375 


5 331 


50 




7 101 5 102 2 102 9 




20 
30 


6304 
6766 


462 
462 


4249 
4103 


147 
146 


3651 
4185 


533 
534 


.1609046 
.1603718 


5329 
5328 


40 
30 




8 llfi 116 8 117 
9 130 5 131 4 132 3 




40 


7229 


463 


3957 


146 


4718 


533 


159 8391 


5 327 


20 








50 


7691 


462 


3810 


147 


5251 


533 


.1593067 


5 324 


10 












462 




146 




534 




5 323 








34 



10 


0.301 8163 
8615 


462 


963 3664 
3518 


146 


316 6785 
6318 


533 


3 158 7744 
.158 2422 


5322 



50 


26 


Tangent 

533 534 




20 
30 


9077 
9540 


462 
463 


3371 
3225 


147 
146 


6852 
7385 


534 
533 


157 7102 
.157 1784 


5 320 
5318 


40 
30 




1 

3 


53 3 53 4 
105 6 106 8 
154 9 160 2 




40 


302 0002 


462 


3079 


146 


7919 


534 


.1566468 


5 316 


20 




4 


213 2 213 6 




50 


0464 


462 


2932 


147 


8452 


533 


.156 1153 


5 315 


10 




5 


266 5 267 








462 




146 




534 




5 313 






(> 


319 8 320 4 


35 



10 


302 0926 
1388 


462 


0.963 2786 
2639 


147 


316 8986 
9519 


533 


31556840 
.1550528 


5312 



50 


25 


7 
8 



373 1 373 8 
426 4 427 2 
479 7 480 6 




20 


1850 


462 


2493 


146 


0.317 0053 


534 


.154 5218 


5 310 


40 








30 


2313 


463 


2346 


147 


0586 


533 


.153 9910 


5 308 


30 








40 


2775 


462 


2200 


146 


1120 


534 


.1534603 


5 307 


20 








50 


3237 


462 


2053 


147 


1653 


533 


.1529298 


5305 


10 




Cotangent 








462 




146 




534 




5 304 








36 



10 
20 


0.302 3699 
4161 
4623 


462 
462 


0.953 1907 
1760 
1613 


147 
147 


0.317 2187 
2720 
3254 


533 
534 


3.152 3994 
.151 8692 
.151 3392 


5302 
5300 



50 
40 


24 


, 
* i 

3 


5360 5340 

536 534 
1072 1068 
bOX 1602 




30 


5085 


462 


1467 


146 


3788 


534 


.1508093 


5299 


30 




i 


2114 2136 




40 
50 


5547 
6009 


462 
462 
462 


1320 
1173 


147 
147 
146 


4321 

4855 


533 
534 
534 


.150 2796 
.149 7501 


5297 
5295 
5294 


20 
10 




o 

7 
8 


2h80 2070 
3216 3204 
37 r >2 3738 
4288 4272 


37 





0.302 6471 




0.953 1027 




317 6389 




3.149 2207 







23 





4824 4806 




10 


6934 


463 


0880 


147 


5922 


533 


.1486915 


5 292 


50 








20 


7396 


462 


0733 


147 


6456 


534 


.148 1624 


5291 


40 




5320 5300 




30 
40 
50 


7858 
8320 
8782 


462 
462 
462 


0586 
0440 
0293 


147 
146 
147 


6990 
7524 
8057 


534 
534 
533 


.147 6335 
.147 1048 
.1465762 


5 289 
5287 
5286 


30 
20 
10 




1 

3 
I 


532 530 
1061 1060 
1596 1590 
2128 2120 








462 




147 




534 




5284 




































26hf) 2050 


38 





0.302 9244 




0.953 0146 




317 8591 




3.146 0478 







22 


6 


3192 3180 




10 
20 
30 


9706 
303 0168 
0630 


462 
462 
462 


0.952 9999 
9852 
9705 


147 
147 
147 


9125 
9659 
0.318 0193 


534 
534 
534 


145 5196 
.144 9915 
.1444635 


5 282 
5281 
5280 


50 
40 
30 




8 
9 


3724 3710 
4256 4240 
4788 4770 




40 


1092 


462 


9558 


147 


0727 


534 


.143 9358 


5 277 


20 




5280 5260 




50 


1554 


462 


9411 


147 


1260 


533 


.143 4082 


5276 


10 




1 


528 526 








462 




147 




534 




5275 






> 


1056 () 1052 


39 



10 
20 
30 


0.303 2016 
2478 
2940 
3402 


462 
462 
462 


0.952 9264 
9117 
8970 
8823 


147 
147 
147 


0.318 1794 
2328 
2862 
3396 


534 
534 
534 


3.142 8807 
.1423534 
.141 8263 
.141 2994 


5273 
5271 
5269 



50 
40 
30 


21 


3 
4 

5 
G 

7 


15S4 1578 
2112 2104 
2640 2630 
3168 3156 
3696 3682 




40 
50 


3864 
4326 


462 
462 


8676 
8529 


147 
147 


3930 
4464 


534 
534 


.1407725 
.1402459 


5 269 
5266 


20 
10 




8 
9 


4224 4208 
4752 4734 








462 




147 




534 




5265 








40 





0.303 4788 




962 8382 




318 4998 




3.139 7194 







20 








Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff. 


Tangent 


Diff 


" 


' 


Proportional Parts 



72 20' 



SINES, COSINES, TANGENTS AND COTANGENTS 
17 40' 



107 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff. 






Pioportional Parts 


40 





0.303 4788 




0.952 8382 




0.318 4998 




3.139 7194 







20 






10 
20 


5250 
5712 


462 
462 


8235 
8088 


147 
147 


5532 
6066 


534 
534 


.139 1931 
.138 6669 


5263 
5262 


50 
40 




Sine 




30 


6174 


462 


7941 


147 


6600 


534 


.138 1409 


5260 


30 




461 462 




40 
50 


6635 
7097 


461 
462 
462 


7793 
7646 


148 
147 
147 


7134 
7668 


534 
534 
534 


.137 6151 
.137 0894 


5 258 
5257 
5255 


20 
10 




1 

2 
3 


46 1 46 2 
92 2 92 4 
138 3 138 G 


41 



10 


0.303 7569 
8021 


462 


0.952 7499 
7352 


147 


0.318 8202 
8736 


534 


3.136 6639 
.136 0385 


5254 



50 


19 


4 

5 
6 


184 4 184 8 
230 5 231 
276 6 277 2 




20 
30 
40 


8483 
8945 
9407 


462 
462 
462 


7204 
7057 
6910 


148 
147 
147 


9270 
9805 
319 0339 


534 
535 
534 


.135 5133 
.1349883 
.134 4634 


5 252 
5250 
5249 


40 
30 
20 




8 
9 


322 7 323 4 
368 8 369 6 
414 9 415 8 




50 


9869 


462 


6762 


148 


0873 


534 


.133 9387 


5247 


10 












462 




147 




534 




5246 








42 



10 


304 0331 
0792 


461 


0.952 6615 
6467 


148 


0.319 1407 
1941 


534 


3.133 4141 
.1328897 


5244 



50 


18 


Cosine 




20 


1254 


462 


6320 


147 


2476 


535 


.132 3655 


5242 


40 




147 148 149 




30 
40 


1716 
2178 


462 
462 


6173 
6025 


147 
148 


3010 
3544 


534 
534 


.131 8414 
.131 3174 


5241 
5240 


30 
20 




1 14 7 14 8 14 9 
2 29 4 29 29 8 
3 44 1 44 4 44 7 




50 


2640 


462 


5878 


147 


4078 


534 


.130 7937 


5237 


10 




4 , r )8 H 59 2 59 6 








462 




148 




535 




5236 






") 73 5 74 74 5 


43 



10 
20 


0.304 3102 
3563 
4025 


461 
462 


0.952 6730 
5582 
5435 


148 
147 


0.319 4613 
5147 
5681 


534 
534 


3.130 2701 
.129 7466 
.129 2233 


5235 
5233 



50 
40 


17 


6 K8 2 88 8 89 4 
7 102 9 103 6 104 3 
8 117 6 118 4 119 2 
9 132 3 133 2 134 1 




30 


4487 


462 


5287 


148 


6215 


534 


.128 7002 


5 231 


30 








40 


4949 


462 


5140 


147 


6750 


535 


.128 1772 


5230 


20 








50 


5411 


462 


4992 


148 


7284 


534 


.127 6544 


5228 


10 












461 




148 




535 




5227 






Tangent 


44 



10 
20 


0.304 5872 
6334 
6796 


462 
462 


0.952 4844 
4697 
4549 


147 
148 


0.319 7819 
8353 

8887 


534 
534 


3.127 1317 
.1266092 
.1260869 


5225 
5223 



50 
40 


16 


i 

2 


534 535 

53 4 53 5 
106 8 107 




30 


7258 


462 


4401 


148 


9422 


535 


.125 5647 


5 222 


30 




3 


160 2 160 5 




40 


7720 


462 


4254 


147 


9956 


534 


.125 0427 


5220 


20 




4 


213 6 214 




50 


8181 


461 
462 


4106 


148 
148 


320 0491 


535 
534 


.124 5208 


5219 
5217 


10 




6 


267 267 5 
320 4 321 


45 





304 8643 




0.962 3958 




0.320 1026 




3.123 9991 







15 


7 
8 


373 8 374 5 
427 2 428 




10 


9105 


462 


3810 


148 


1560 


535 


.1234776 


5215 


50 




9 


480 6 481 5 




20 


9566 


461 


3662 


148 


2094 


534 


.122 9562 


5214 


40 








30 


305 0028 


462 


3514 


148 


2629 


535 


.122 4349 


5213 


30 








40 
50 


0490 
0952 


462 
462 


3367 
3219 


147 
148 


3163 
3698 


534 
535 


.121 9139 
.121 3929 


5210 
5210 


20 
10 




Cotangent 








461 




148 




534 




5 207 






5260 5240 


46 





305 1413 




0.962 3071 




0.320 4232 




3.120 8722 







14 


1 


526 524 




10 


1875 


462 


2923 


148 


4767 


535 


.1203516 


5 206 


50 






1052 ) 1048 




20 
30 
40 
50 


2337 
2798 
3260 
3722 


462 
461 
462 
462 


2775 
2627 
2479 
2331 


148 
148 
148 
148 


5302 
5836 
6371 
6906 


535 
534 
535 
535 


.1198311 
.119 3108 
.1187907 
.1182707 


5205 
5203 
5201 
5200 


40 
30 
20 
10 




3 
4 

6 


1"78 ) 1572 
LM04 2096 
2(>30 ) 2620 
5156 ) 3141 
'!(82 ) 3668 








461 




148 




534 




5198 






8 


42US ) 4192 () 


47 





305 4183 




0.962 2183 




320 7440 




3.117 7509 







13 





7.34 4710 




10 
20 
30 
40 


4645 
5107 
5568 
6030 


462 
462 
461 
462 


2035 
1887 
1738 
1590 


148 
148 
149 
148 


7975 
8510 
9044 
9579 


535 
535 
534 
535 


.117 2313 
.1167118 
.116 1924 
.115 6732 


5 1% 
5195 
5194 
5192 


50 
40 
30 
20 




1 

2 
3 


5220 5200 

522 520 
10 H 1040 
15t)6 1560 




50 


6491 


461 


1442 


148 


321 0114 


535 


.115 1542 


5190 


10 




4 


2088 2080 








462 




148 




535 




5189 






5 


2610 2600 


48 



10 
20 


0.305 6953 
7415 
7876 


462 
461 


0.952 1294 
1146 
0997 


148 
149 


0.321 0649 
1184 
1718 


535 
534 


3.114 6353 
.114 1166 
.113 5980 


5187 
5186 



50 
40 


12 


fi 

8 
9 


3132 3120 
3654 3640 
1176 4160 
4698 4680 




30 


8338 


462 


0849 


148 


2253 


535 


.113 0796 


5 184 


30 








40 


8799 


461 


0701 


148 


2788 


535 


.112 5614 


5 182 


20 




5180 5170 




50 


9261 


462 
462 


0553 


148 
149 


3323 


535 
535 


.1120433 


5 181 
5179 


10 




1 

2 


518 517 
1036 1034 


49 



10 
20 


0.305 9723 
0.306 0184 
0646 


461 
462 


0.952 0404 
0256 
0108 


148 
148 


0.321 3868 
4393 
4928 


535 
535 


3.111 5254 
.111 0076 
.1104899 


5178 
5177 



50 
40 


11 


3 
4 
5 
G 


1554 1551 
2072 2068 
2590 2585 
3108 3102 




30 
40 
50 


1107 
1569 
2030 


461 
462 
461 


0.951 9959 
9811 
9662 


149 
148 
149 


5463 
5997 
6532 


535 
534 
535 


.109 9725 
.1094552 
.1089380 


5 174 
5173 
5172 


30 
20 
10 




7 
8 
9 


3626 3619 
4144 1136 
4662 1653 








462 




148 




535 




5 170 








60 





0.306 2492 




0.951 9514 




0.321 7067 




3.108 4210 







10 








Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff. 


" 


' 


Proportional Parts 



72 10' 



108 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
17 50' 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


DifT 






Piopoitional Parts 


50 



10 
20 
30 
40 
50 


306 2492 
2953 
3415 
3876 
4338 
4790 


461 
462 
461 
462 
461 


0.951 9614 
9365 
9217 
9068 
8920 
8771 


149 
148 
149 
148 
149 


0.321 7067 
7602 
8137 
8672 
9208 
9743 


535 
535 
535 
536 
535 


3.108 4210 
.107 9042 
.107 3875 
.106 8709 
.106 3546 
.105 8383 


5168 
5167 
5166 
5163 
5163 



50 
40 
30 
20 
10 


10 


1 

3 


Sine 

461 462 

46 1 46 2 
92 2 92 4 
138 3 138 6 








462 




148 




535 




5 160 






4 


184 4 184 8 


51 





0.306 6261 




951 8623 




0.322 0278 




3.105 3223 







9 


5 


230 5 231 




10 


5722 


461 


8474 


149 


0813 


535 


.104 8064 


5 159 


50 




C 


276 6 277 2 




20 
30 


6184 
6645 


462 
461 


8325 
8177 


149 
148 


1348 
1883 


535 
535 


.104 2906 
.103 7750 


5 158 
5156 


40 
30 




8 
I) 


322 7 323 4 
368 8 369 6 
414 9 415 8 




40 


7107 


462 


8028 


149 


2418 


535 


.103 2596 


5 154 


20 








50 


7568 


461 


7879 


149 


2953 


535 


.102 7443 


5 153 


10 












462 




148 




536 




5 152 








52 





306 8030 




0.961 7731 




0.322 3489 




3.102 2291 







8 


Cosine 




10 
20 
30 


8491 
8952 
9414 


461 
461 
462 


7582 
7433 
7284 


149 
149 
149 


4024 
4559 
5094 


535 
535 
535 


.101 7142 
.101 1993 
.100 6847 


5 149 
5149 
5146 


50 
40 
30 




148 149 150 

1 14 8 14 9 15 
'2 29 6 20 8 30 




40 
50 


9875 
307 0337 


461 
462 


7135 
6987 


149 
148 


5629 
6165 


535 
536 


.100 1702 
.099 6558 


5 145 
5144 


20 
10 




3 44 4 44 7 45 
4 59 'J 59 6 00 


63 



10 


0.307 0798 
1259 


461 
461 


0.951 6838 
6689 


149 
149 


0.322 6700 
7235 


535 
535 


3.099 1416 
.098 6275 


5 142 
5141 



50 


7 


5 74 74 5 75 
G 88 8 89 4 90 
7 103 (i 104 3 105 
8 118 4 119 '2 120 




20 


1721 


462 


6540 


149 


7771 


536 


.098 1136 


5 139 


40 




9 133 2 131 1 135 




30 


2182 


461 


6391 


149 


8306 


535 


.097 5999 


5 137 


30 








40 


2643 


461 


6242 


149 


8841 


535 


.097 0863 


5 136 


20 








50 


3105 


462 
461 


6093 


149 
149 


9377 


536 
535 


.096 5729 


5 134 
5133 


10 




Tangent 


54 





0.307 3566 




0.951 5944 




0.322 9912 




3.096 0596 







6 


535 53fi 




10 


4028 


462 


5795 


149 


0.323 0447 


535 


.095 5465 


5 131 


50 




1 


53 5 53 6 




20 


4489 


461 


5646 


149 


0983 


536 


.095 0335 


5 130 


40 






107 107 2 




30 
40 
50 


4950 
5412 
5873 


461 
462 
461 
461 


5497 
5348 
5199 


149 
149 
149 
149 


1518 
2054 
2589 


535 
536 
535 
536 


.094 5207 
0940080 
.093 4955 


5 128 
5127 
5125 
5124 


30 
20 
10 




3 
4 

c 

6 


l')0 5 160 8 
214 211 4 
267 5 268 
321 321 6 
374 5 375 2 


55 





0.307 6334 




0.951 5060 




0.323 3126 




3.092 9831 







5 


8 


428 428 8 




10 


6795 


461 


4900 


150 


3660 


535 


.092 4709 


5 122 


50 




9 


481 5 482 4 




20 


7257 


462 


4751 


149 


4196 


536 


091 9589 


5 120 


40 








30 


7718 


461 


4602 


149 


4731 


535 


.091 4470 


5119 


30 








40 
50 


8179 
8641 


461 
462 


4453 
4304 


149 
149 


5267 
5802 


536 
535 


.090 9352 
.090 4237 


5 118 
5115 


20 
10 




Cotangent 








461 




150 




536 




5115 






5160 5140 


56 





0.307 9102 




0.951 4154 




0.323 6338 




3 089 9122 







4 


i 


51h 514 




10 
20 
30 
40 


9563 
308 0024 
0486 
0947 


461 
461 
462 
461 


4005 
3856 
3706 
3557 


149 
149 
150 
149 


6873 
7409 
7945 
8480 


535 
536 
536 
535 


.089 4009 
088 8898 
.088 3788 
.087 8680 


5113 
5111 
5110 
5108 


50 
40 
30 
20 




3 
4 
5 
6 


1052 1028 
1548 1542 
2064 2056 
2580 2570 
J09B 3081 




50 


1408 


461 
461 


3408 


149 
150 


9016 


536 
536 


.087 3573 


5107 
5105 


10 




7 
8 


5612 3598 
4128 4112 


67 





0.308 1869 




0.951 3258 




0.323 9552 




3.086 8468 







3 


9 


4644 4626 




10 
20 
30 


2330 
2792 
3253 


461 
462 
461 


3109 
2959 
2810 


149 
150 
149 


0.324 0087 
0623 
1159 


535 
536 
536 


.086 3364 
.085 8262 
.085 3162 


5 104 
5102 
5100 


50 
40 
30 




1 


5120 5100 

512 510 
102 i 1020 




40 
50 


3714 
4175 


461 
461 
461 


2660 
2511 


150 
149 
150 


1695 
2230 


536 
535 
536 


.084 8063 
.084 2965 


5099 
5098 
50% 


20 
10 




3 
4 
5 


1536 1530 
2048 2010 
2560 2550 


58 



10 


0.308 4636 
5098 


462 


0.951 2361 
2212 


149 


0.324 2766 
3302 


536 


3.083 7869 
.083 2775 


5094 




50 


2 


6 

7 
8 


1072 3060 
1584 3570 
4096 4080 




20 


5559 


461 


2062 


150 


3838 


536 


.082 7682 


5093 


40 




9 


4608 4590 




30 


6020 


461 


1913 


149 


4374 


536 


.082 2590 


5092 


30 








40 


6481 


461 


1763 


150 


4910 


536 


.081 7500 


5090 


20 




5080 




50 


6942 


461 
461 


1613 


150 
149 


5445 


535 
536 


.081 2412 


5088 
5087 


10 




1 508 
2 1010 


























3 1524 


59 





0.308 7403 




0.951 1464 




0.324 5981 




3.080 7325 







1 


4 2032 




10 


7864 


461 


1314 


150 


6517 


536 


.080 2239 


5086 


50 




fi 2540 




20 


8326 


462 


1164 


150 


7053 


536 


.079 7156 


5083 


40 




6 3048 () 




30 
40 


8787 
9248 


461 
461 


1015 
0865 


149 
150 


7589 
8125 


536 
536 


.079 2073 
.078 6992 


5083 
5081 


30 
20 




7 3556 n 
8 400 t 
9 4572 




50 


9709 


461 


0715 


150 


8661 


536 


.078 1913 


5079 


10 












461 




150 




536 




5078 








60 





0.309 0170 




0.951 0565 




0.324 9197 




3.077 6835 
















Cowme 


DifT 


Sine 


Diff 


Cotangent 


DifT 


Tangent 


Diff 


" 


' 


Proportional Parts 



72 0' 



SINES, COSINES, TANGENTS AND COTANGENTS 
18 0' 



109 



' 


" 


Sine 


Diff 


Cobino 


Diff 


-nu,,t 


Diff 


CotaiiKrnt 


Diff 






Proportional PartH 






10 


0.309 0170 
0631 


461 


0.951 0565 
0415 


150 


0.324 9197 
9733 


536 


3.077 6835 
.077 1759 


5076 




50 


60 


Sine 




20 


1092 


461 


0265 


150 


0.325 0269 


536 


.076 6684 


5075 


40 




460 461 




30 


1553 


461 


0116 


149 


0805 


536 


.076 1611 


5073 


30 




i 


10 lf 1 




40 


2014 


461 


950 9966 


150 


1341 


536 


075 6539 


5072 


20 




- 


92 92 2 




50 


2475 


461 


9816 


150 


1877 


536 


075 1469 


5070 


10 




4 


181 181 1 








461 




150 




536 




5069 










1 





0.309 2936 




0.950 9666 




0.325 2413 




3.074 6400 







59 


b 


230 230 5 
27b 270 




10 


3397 


461 


9516 


150 


2949 


536 


074 1333 


5067 


50 






322 322 7 




20 
30 


3858 
4319 


461 
461 


9366 
9216 


150 
150 


3485 
4022 


536 
537 


073 6268 
.073 1203 


5065 
5065 


40 
30 




8 
9 


' t>S 3f,8 S 
411 411 9 




40 
50 


4780 
5241 


461 
461 


9066 
8916 


150 
150 


4558 
5094 


536 
536 


.072 6141 
.072 1079 


5062 
5062 


20 
10 




Cosine 








461 




150 




536 




5059 






149 150 


2 





0.309 5702 




0.950 8766 




0.325 5630 




3 071 6020 







58 


i 


11 9 15 




10 


6163 


461 


8616 


150 


6166 


536 


071 0962 


5058 


50 






2') 8 30 




20 


6624 


461 


8466 


150 


6703 


537 


.070 5905 


5 057 


40 




* 


44 7 15 




30 


7085 


461 


8315 


151 


7239 


536 


.070 0850 


5 055 


30 




i 


~ } fl !!'.' 




40 


7546 


461 


8165 


150 


7775 


536 


.069 5796 


5 054 


20 




t, 


74 5 7" 
89 4 ( t() 




50 


8007 


461 


8015 


150 


8311 


536 


069 0744 


5052 


10 






104 3 10'. 








461 




150 




537 




5050 






s 


119 2 12) 


3 





309 8463 




0.950 7865 




0.325 8848 




3.068 5694 







57 


9 


131 1 155 




10 
20 


8929 
9390 


461 
461 


7715 
7564 


150 
151 


9384 
9920 


536 
536 


0680644 
.067 5597 


5 050 
5047 


50 
40 






151 152 




30 


9851 


461 


7414 


150 


0.326 0457 


537 


067 0551 


5 046 


30 




1 


1 " 1 152 
. 2 30 1 




40 


03100312 


461 


7264 


150 


0993 


536 


.066 5506 


5045 


20 




.; 


15 3 15 ( 




50 


0773 


461 


7113 


151 


1529 


536 


0660463 


5 043 


10 




4 


(.0 4 (.0 8 








461 




150 




537 




5042 






, r i 


75 5 70 


4 



10 


0.310 1234 
1695 


461 


950 6963 
6813 


150 


0.326 2066 
2602 


536 


3.065 5421 
065 0381 


5040 



50 


56 





91) 91 '2 
105 7 100 4 
120 8 121 () 




20 


2156 


461 


6662 


151 


3139 


537 


.064 5343 


5038 


40 




j| 


135 9 130 S 




30 


2617 


461 


6512 


150 


3675 


536 


.064 0305 


5038 


30 








40 


3077 


460 


6362 


150 


4212 


537 


.063 5270 


5 035 


20 




Tangent 




50 


3538 


461 


6211 


151 


4748 


536 


.063 0236 


5034 


10 




536 537 








461 




150 




536 




5033 








5 





310 3999 




0.950 6061 




0.326 5284 




3.062 5203 







55 


1 


53 53 7 
107 2 107 1 




10 


4460 


461 


5910 


151 


5821 


537 


062 0172 


5031 


50 




3 


100 8 liil 1 




20 


4921 


461 


5760 


150 


6358 


537 


.061 5142 


5 030 


40 




4 


21! 4 211 8 




30 


5382 


461 


5609 


151 


6894 


536 


.061 0114 


5028 


30 




') 


2f>8 208 5 




40 


5843 


461 


5459 


150 


7431 


537 


.060 5087 


5027 


20 




b 


321 b 322 2 
375 2 375 9 




50 


6303 


460 


5308 


151 


7967 


536 


.060 0062 


5025 


10 




8 


428 8 429 b 








461 




151 




537 




5024 






q 


482 4 483 3 


6 





310 6764 




950 5157 




0.326 8504 




3.059 5038 







54 






10 
20 
30 
40 


7225 
7686 
8147 
8608 


461 
461 
461 
461 


5007 
4856 
4705 
4555 


150 
151 
151 
150 


9040 
9577 
03270114 
0650 


536 
537 
537 
536 


.059 0016 
.058 4996 
.057 9976 
057 4959 


5022 
5020 
5020 
5017 


50 
40 
30 
20 




( 

1 


Cotangent 

5070 5050 

507 505 
1011 1010 




50 


9068 


460 
461 


4404 


151 
151 


1187 


537 
537 


.056 9942 


5017 
5014 


10 




3 
4 


1521 1515 
2028 2020 


7 



10 
20 


0.310 9529 
9990 
0311 0451 


461 
461 


0.950 4253 
4102 
3952 


151 
150 


0.327 1724 
2260 
2797 


536 
537 


3.066 4928 
055 9914 
055 4903 


5014 
5011 



50 
40 


53 


b 

8 


253 r ) 2525 
W2 3030 
"519 3535 
()"0 4040 




30 


0911 


460 


3801 


151 


3334 


537 


.054 9892 


5 Oil 


30 




9 


4503 4545 




40 


1372 


461 


3650 


151 


3871 


537 


.054 4883 


5009 


20 




5030 5010 




50 


1833 


461 


3499 


151 


4408 


537 


.053 9876 


5007 


10 




1 


503 501 








461 




151 




536 




5006 








000 1002 


8 



10 


0.311 2294 
2754 


460 


0.950 3348 
3197 


151 


0.327 4944 
5481 


537 


3 053 4870 
.052 9866 


5004 



50 


52 


1 


1509 1503 
2012 2004 




20 
30 


3215 
3676 


461 
461 


3046 
2896 


151 
150 


6018 
6555 


537 
537 


052 4863 
.051 9862 


5003 
5001 


40 
30 







2515 2505 
tt)18 3000 
},521 3507 




40 
50 


4137 
4597 


461 
460 


2745 
2594 


151 
151 


7092 
7629 


537 
537 


.051 4862 
.050 9863 


5000 
4999 


20 
10 




8 
y 


4024 4008 
4527 4509 








461 




151 




536 




4997 






4990 


9 





0.311 5058 




0.950 2443 




0.327 8165 




3.050 4866 







51 


1 199 




10 


5519 


461 


2292 


151 


8702 


537 


.049 9871 


4995 


50 




2 998 




20 
30 
40 


5979 
6440 
6901 


460 
461 
461 


2140 
1989 
1838 


152 
151 
151 


9239 
9776 
0.328 0313 


537 
537 
537 


.049 4877 
.048 9884 
.048 4893 


4994 
4993 
4991 


40 
30 
20 




3 1497 
4 1996 
5 2495 
6 2994 




50 


7361 


460 


1687 


151 


0850 


537 


.047 9904 


4989 


10 




7 3193 








461 




151 




537 




4 989 






8 3992 


10 





311 7822 




0.950 1536 




0.328 1387 




3.047 4915 







50 


9 4191 






Cosine 


Diff 


Sine 


Diff 


Cotangent 


Djff 


Tangent 


Diff 


" 


' 


Proportional Parts 



71 50' 



110 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
18 10' 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 


10 





0.311 7822 




0.960 1536 




0.328 1387 




3.047 4915 







60 






10 


8283 


461 


1385 


151 


1924 


537 


.046 9929 


4 986 


50 








20 


8743 


460 


1234 


151 


2461 


537 


.0464944 


4985 


40 




Sine 




30 


9204 


461 


1082 


152 


2998 


537 


.045 9960 


4984 


30 




460 461 




40 


9664 


460 


0931 


151 


3535 


537 


.045 4978 


4982 


20 




i 


46 46 1 




50 


0.312 0125 


461 
461 


0780 


151 
151 


4073 


538 
537 


.044 9997 


4981 
4979 


10 




2 
3 


92 92 2 
138 138 3 


11 



10 
20 


0.312 0586 
1046 
1507 


460 
461 


0.950 0629 
0477 
0326 


152 
151 


0.328 4610 
5147 
5684 


537 
537 


3.044 5018 
.0440040 
.043 5063 


4978 
4977 



50 
40 


49 


4 

5 
6 

7 


184 184 4 
230 230 5 
276 276 6 
322 322 7 




30 


1967 


460 


0175 


151 


6221 


537 


.043 0089 


4974 


30 




8 


368 368 8 




40 


2428 


461 


0023 


152 


6758 


537 


.042 5115 


4974 


20 







414 414 9 




50 


2889 


461 


0.949 9872 


151 


7295 


537 


.042 0143 


4972 


10 












460 




151 




538 




4970 








12 



10 


0.312 3349 
3810 


461 


0.949 9721 
9569 


152 


0.328 7833 
8370 


537 


3.041 5173 
.041 0204 


4969 



50 


48 


Cosine 




20 


4270 


460 


9418 


151 


8907 


537 


.040 5236 


4968 


40 




151 152 153 




30 


4731 


461 


9266 


152 


9444 


537 


.040 0270 


4966 


30 




1 15 1 15 2 15 3 




40 


5191 


460 


9115 


151 


9982 


538 


.039 5306 


4964 


20 




2 30 2 30 4 30 6 




50 


5652 


461 
460 


8963 


152 
151 


0.329 0519 


537 
537 


.039 0342 


4964 
4961 


10 




3 45 3 45 6 45 9 
4 60 4 60 8 61 2 


13 



10 


0.312 6112 
6573 


461 

Af) 


0.949 8812 
8660 


152 


0.329 1056 
1594 


538 
537 


3.038 5381 
.038 0420 


4961 



50 


47 


5 75 5 76 76 5 
6 90 6 91 2 91 8 
7 105 7 106 4 107 1 




20 


7033 


4OU 


8508 


152 


2131 




.037 5462 


4 958 


40 




8 120 8 121 6 122 4 




30 


7494 


461 


8357 


151 


2668 


537 


.037 0504 


4958 


30 




9 135 9 136 8 137 7 




40 


7954 


460 


8205 


152 


3206 


538 


.036 5549 


4 955 


20 








50 


8415 


461 


8053 


152 


3743 


537 


.036 0594 


4955 


10 












460 




151 




538 




4953 








14 





0.312 8875 




0.949 7902 




0.329 4281 




3.035 5641 







46 


Tangent 




10 


9336 


461 


7750 


152 


4818 


537 


.035 0690 


4951 


50 




537 538 




20 


9796 


460 


7598 


152 


5355 


537 


.034 5740 


4950 


40 




i 


53 7 53 8 




30 
40 
50 


0.313 0257 
0717 
1178 


461 
460 
461 
460 


7447 
7295 
7143 


151 
152 
152 
152 


5893 
6430 
6968 


538 
537 
538 
537 


.034 0791 
.033 5844 
.033 0898 


4949 
4947 
4946 
4944 


30 
20 
10 




2 
3 
4 
5 
6 


107 4 107 6 
161 1 161 4 
214 8 215 2 
268 5 269 
322 2 322 8 


15 





0.313 1638 




0.949 6991 




0.329 7505 




3.032 5954 







45 


7 


375 9 376 6 




10 
20 


2098 
2559 


460 
461 


6839 
6688 


152 
151 


8043 
8581 


538 
538 


.032 1011 
.031 6070 


4943 
4941 


50 
40 




8 
9 


429 6 430 4 
483 3 484 2 




30 


3019 


460 


6536 


152 


9118 


537 


.031 1130 


4 940 


30 








40 


3480 


461 


6384 


152 


9656 


538 


.030 6192 


4938 


20 








50 


3940 


460 


6232 


152 


0.330 0193 


537 


.030 1255 


4 937 


10 




Cotangent 








460 




152 




538 




4 935 








16 



10 
20 


0.313 4400 
4861 
5321 


461 
460 


0.949 6080 
5928 
5776 


152 
152 


0.330 0731 
1269 
1806 


538 
537 


3.029 6320 
.029 1386 
.028 6453 


4934 
4933 



50 
40 




i 

2 
3 


4980 4960 

498 496 
99b 992 
1494 1488 




30 


5782 


461 


5624 


152 


2344 


538 


.028 1522 


4931 


30 




4 


1992 1981 




40 
50 


6242 
6702 


460 
460 
461 


5472 
5320 


152 
152 
152 


2882 
3419 


538 
537 
538 


.027 6592 
.027 1664 


4930 
4928 
4927 


20 
10 




5 
6 

7 
8 


2190 2480 
2988 2970 
3186 3472 
5984 3968 


17 





0.313 7163 




0.949 5168 




0.330 3957 




3.026 6737 







43 


9 


4482 4464 




10 


7623 


460 


5016 


152 


4495 


538 


.026 1812 


4925 


50 








20 


8083 


460 


4864 


152 


5033 


538 


.025 6888 


4924 


40 




4940 4920 




30 
40 
50 


8544 
9004 
9464 


461 
460 
460 


4711 

4559 
4407 


153 
152 
152 


5570 
6108 
6646 


537 
538 
538 


.025 1965 
.024 7044 
.024 2125 


4 923 
4921 
4919 


30 
20 
10 




2 
3 
4 


494 492 
988 984 
1482 1470 
1976 1968 








461 




152 




538 




4918 


































5 


2470 2460 


18 





313 9925 




0.949 4255 




0.330 7184 




3.023 7207 







42 





2904 2952 




10 
20 
30 


314 0385 
0845 
1305 


460 
460 
460 


4103 
3950 
3798 


152 
153 
152 


7722 
8260 
8797 


538 
538 
537 


.023 2290 
.022 7375 
.022 2461 


4917 
4915 
4914 


50 
40 
30 




7 
8 
9 


3458 3444 
3952 3936 
4446 4428 




40 


1766 


461 


3646 


152 


9335 


538 


.021 7549 


4912 


20 




4900 




50 


2226 


460 


3493 


153 


9873 


538 


.021 2638 


4911 


10 




1 490 








460 




152 




538 




4910 






2 980 


19 



10 
20 
30 


0.314 2686 
3146 
3607 
4067 


460 
461 
460 


0.949 3341 
3189 
3036 
2884 


152 
153 
152 


0.331 0411 
0949 
1487 
2025 


538 
538 
538 


3.020 7728 
.020 2820 
.019 7913 
.019 3008 


4908 
4907 
4905 



50 
40 
30 


41 


3 1470 
4 1960 
5 2450 
6 2940 
7 3430 




40 
50 


4527 
4987 


460 
460 


2731 
2579 


153 
152 


2563 
3101 


538 
538 


.018 8105 
.018 3202 


4903 
4903 


20 
10 




8 3920 
9 4410 








461 




153 




538 




4901 








20 





0.314 5448 




0.949 2426 




0.331 3639 




3.017 8301 







40 








Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff. 


Tangent 


Diff 


" 


' 


Proportional Parts 



71 40' 



SINES, COSINES, TANGENTS AND COTANGENTS 
18 20' 



111 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff. 






Proportional Parts 


20 





0.314 5448 




0.949 2426 




0.331 3639 




3.017 8301 







40 








10 


5908 


460 


2274 


152 


4177 


538 


.017 3402 


4899 


50 










20 


6368 


460 


2121 


153 


4715 


538 


.016 8504 


4898 


40 






Sine 




30 


6828 


460 


1969 


152 


5253 


538 


.016 3607 


4897 


30 




459 


460 461 




40 


7288 


460 


1816 


153 


5791 


538 


.015 8712 


4 895 


20 




1 45 


9 46 46 1 




50 


7748 


460 


1664 


152 


6330 


539 


.015 3818 


4894 


10 




2 91 


8 92 92 2 








461 




153 




538 




4892 






3 137 


7 138 138 3 


21 



10 
20 


0.314 8209 
8669 
9129 


460 
460 


0.949 1511 
1358 
1206 


153 
152 


0.331 6868 
7406 
7944 


538 
538 


3.014 8926 
.014 4035 
.013 9146 


4891 
4889 



50 
40 


39 


4 183 6 184 184 4 
5 229 5 230 230 5 
6 275 4 276 276 6 
7 321 3 322 322 7 




30 


9589 


460 


1053 


153 


8482 


538 


.013 4258 


4 888 


30 




8 367 


2 368 368 8 




40 


0.315 0049 


460 


0900 


153 


9020 


538 


.012 9371 


4887 


20 




9 413 


1 414 414 9 




50 


0509 


460 


0748 


152 


9559 


539 


.012 4486 


4 885 


10 














460 




153 




538 




4883 










22 



10 


0.315 0969 
1430 


461 


949 0595 
0442 


153 


0.332 0097 
0635 


538 


3 Oil 9603 
.011 4720 


4883 



50 


38 




Cosine 




20 


1890 


460 


0289 


153 


1173 


538 


.010 9839 


4881 


40 




152 


153 154 




30 


2350 


460 


0136 


153 


1712 


539 


.010 4960 


4 879 


30 




1 ir 


2 15 3 15 4 




40 
50 


2810 
3270 


460 
460 


948 9984 
9831 


152 
153 


2250 
2788 


538 
538 


.010 0082 
.009 5205 


4878 
4877 


20 
10 




2 30 1 30 6 30 8 
3 45 6 45 9 46 2 
4 60 S fit 2 hi it 








4 SO 




153 




539 




4 875 










23 





0.315 3730 




0.948 9678 




0.332 3327 




3.009 0330 







37 


5 7fj 
6 91 


76 5 77 
2 Ml 8 <)2 1 




10 


4190 


460 


9525 


153 


3865 


538 


008 5456 


4874 


50 




7 KM 


I 107 1 107 8 




20 
30 


4650 
5110 


460 
460 


9372 
9219 


153 
153 


4404 
4942 


539 
538 


.008 0584 
.007 5713 


4 872 
4871 


40 
30 




8 I'M 6 122 4 123 2 
9 130 8 137 7 138 6 




40 


5570 


460 


9066 


153 


5480 


538 


.007 0844 


4869 


20 










50 


6030 


460 


8913 


153 


6019 


539 


.006 5976 


4868 


10 














460 




153 




538 




4 867 










24 





0.315 6490 




0.948 8760 




0.332 6557 




3.006 1109 







36 




Tangent 




10 


6950 


460 


8607 


153 


7096 


539 


.005 6244 


4865 


50 






538 539 




20 
30 


7410 
7870 


460 
460 


8454 
8301 


153 
153 


7634 
8173 


538 
539 


.005 1380 
.004 6518 


4864 
4862 


40 
30 




1 

3 


53 8 53 9 
107 6 107 8 
161 1 1)1 7 




40 


8330 


460 


8148 


153 


8711 


538 


.004 1657 


4 861 


20 




4 


215 2 2T> 6 




50 


8790 


460 


7995 


153 


9250 


539 


.003 6797 


4 860 


10 




r, 


269 2d9 5 








460 




153 




538 




4858 






6 


322 8 32 j 4 


25 



10 


0.315 9250 
9710 


460 


0.948 7842 
7688 


154 


0.332 9788 
333 0327 


539 


3.003 1939 
.002 7082 


4857 



50 


35 


7 
8 
9 


376 6 377 3 
l.W 4 431 2 
484 2 485 1 




20 


316 0170 


460 


7535 


153 


0866 


539 


.002 2227 


4 855 


40 










30 


0630 


460 


7382 


153 


1404 


538 


.001 7373 


4 854 


30 










40 


1090 


460 


7229 


153 


1943 


539 


.001 2521 


4 852 


20 










50 


1550 


460 
460 


7075 


154 
153 


2481 


538 
539 


.000 7669 


4852 
4849 


10 




Cotangent 

4900 4880 


26 



10 


0.316 2010 
2470 


460 


0.948 6922 
6769 


153 


0.333 3020 
3559 


539 


3 000 2820 
2.999 7972 


4848 



50 


34 


2 


}<)( IMS ( 
9S( .<7t 




20 
30 
40 
50 


2930 
3390 
3850 
4310 


460 
460 
460 
460 


6615 
6462 
6309 
6155 


154 
153 
153 

154 


4097 
4636 

5175 
5714 


538 
539 
539 
539 


.9993125 
.998 8279 
.998 3435 
.997 8593 


4847 
4846 
4844 
4842 


40 
30 
20 
10 




3 
4 

6 


17( ll'>! 
19W 1 ( );>J 
2J5( 2 HO 
2 ( H( 292S 
U3( 31K) 








460 




153 




538 




4842 






8 


3<)2( 3901 


27 





0.316 4770 




0.948 6002 




0.333 6252 




2.997 3751 







33 


9 14110 1392 




10 
20 
30 
40 


5230 
5689 
6149 
6609 


460 
459 
460 
460 


5849 
5695 
5542 
5388 


153 
154 
153 
154 


6791 
7330 
7869 
8408 


539 
539 
539 
539 


.996 8912 
.996 4073 
.995 9236 
.995 4401 


4839 
4839 
4837 
4835 


50 
40 
30 
20 




1 
3 


4860 4840 

4S6 481 ) 
M72 968 ) 
1158 14 ')2 ) 




50 


7069 


460 


5235 


153 


8946 


538 


.994 9566 


4835 


10 




4 


1<I44 1936 ) 








460 




154 






4 832 






5 


2130 2420 ) 


28 



10 
20 


0.316 7529 
7989 
8449 


460 
46C 


0.948 5081 
4927 
4774 


154 
153 


0.333 9485 
0.334 0024 
0563 


539 
539 


2 994 4734 
993 9902 
.993 5072 


4832 
4830 




50 
40 


32 


6 

7 
8 
9 


291'. 2904 ) 
3102 3i8S 
3XSX 3X72 ) 
4371 155'j 




30 


8908 


459 


4620 


154 


1102 


539 


.993 0244 


4828 


30 










40 


9368 


460 


4467 


153 


1641 


539 


.992 5417 


4827 


20 






4820 




50 


9828 


460 
460 


4313 


154 
154 


2180 


539 
539 


.992 0591 


4 826 
4825 


10 






1 482 
2 964 


29 



10 
20 


0.317 0288 
0748 
1207 


460 
459 


0.948 4159 
4005 
3852 


154 
153 


0.334 2719 
3258 
3797 


539 
539 


2.991 5766 
.991 0944 
.990 6122 


4822 
4822 




50 
40 


31 




3 1446 
4 1928 
5 2410 
6 2892 




30 


1667 


460 


3698 


154 


4336 


539 


.990 1302 


4 820 


30 






7 3371 




40 
50 


2127 
2587 


460 
460 


3544 
3390 


154 
154 


4875 
5414 


539 
539 


.989 6483 
.989 1666 


4819 
4817 


20 
10 






8 3856 
9 4338 








460 




153 




539 




4 816 










30 





0.317 3047 




948 3237 




0.334 5953 




2.988 6850 







30 








1 


COMIIP 


Dift 


Sine 


Din- 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Pro 


portional Parts 



71 30' 



112 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
18 30' 



' 


" 


Sine 


Diff. 


Cosine 


Diff. 


Tangent 


Diff 


Cotangent 


Diff 






Pioportional Parts 


30 





0.317 3047 




0.948 3237 




0.334 5963 




2.988 6860 







30 






10 
20 


3506 
3966 


459 
460 


3083 
2929 


154 
154 


6492 
7031 


539 
539 


.988 2035 
.987 7222 


4815 
4813 


50 
40 




Sine 




30 


4426 


460 


2775 


154 


7571 


540 


.987 2410 


4812 


30 




459 460 




40 


4886 


460 


2621 


154 


8110 


539 


.986 7600 


4810 


20 




i 


45 9 46 




50 


5345 


459 
460 


2467 


154 
154 


8649 


539 
539 


.986 2791 


4809 
4808 


10 




2 
3 


91 8 92 
137 7 138 


31 



10 


0.317 6805 
6265 


460 


0.948 2313 
2159 


154 


0.334 9188 
9727 


539 


2.985 7983 
.985 3177 


4806 



50 


29 


4 
fi 


183 b 184 
229 5 230 
275 4 270 




20 
30 
40 


6724 
7184 
7644 


459 
460 
460 


2005 
1851 
1697 


154 
154 
154 


0.335 0266 
0806 
1345 


539 
540 
539 


.984 8372 
.984 3569 
.983 8766 


4805 
4803 
4803 


40 
30 
20 




7 
8 
9 


321 3 322 
3b7 2 308 
413 1 414 




50 


8103 


459 


1543 


154 


1884 


539 


.983 3966 


4 800 


10 












460 




154 




540 




4800 








32 



10 


0.317 8563 
9023 


460 


0.948 1389 
1235 


154 


0.335 2424 
2963 


539 


2.982 9166 
.982 4369 


4797 



50 


28 


Cosine 




20 


9482 


459 


1081 


154 


3502 


539 


.981 9572 


4797 


40 




154 155 156 




30 
40 


9942 
318 0402 


460 
460 


0927 
0772 


154 
135 


4042 
4581 


540 
539 


981 4777 
.980 9983 


4795 
4794 


30 
20 




1 1") t 15 5 15 
'2 .JO S 31 31 '2 
3 46 '2 4b 5 4f> 8 




50 


0861 


459 


OC18 


154 


5120 


539 


.980 5191 


4 792 


10 




4 01 6 b2 02 4 








460 




154 




540 




4791 






f> 77 77 5 78 


33 





318 1321 




0.948 0464 




0.335 5660 




2.980 0400 







27 


(i 92 4 93 93 




10 
20 
30 


1781 
2240 
2700 


460 
459 
460 


0310 
0155 
0001 


154 
155 
154 


6199 
6739 
7278 


539 
540 
539 


979 5610 
.979 0822 
.978 6035 


4790 
4788 
4787 


50 
40 
30 




7 107 8 108 5 109 2 
8 123 '2 124 121 8 
9 138 b 139 5 140 4 




40 


3159 


459 


0.947 9847 


154 


7817 


539 


.978 1250 


4785 


20 








50 


3619 


460 


9692 


155 


8357 


540 


.977 6466 


4784 


10 












460 




154 




539 




4783 






Tangent 


34 



10 


0.318 4079 
4538 


459 


0.947 9538 
9384 


154 


0.335 8896 
9436 


540 


2 977 1683 
.976 6902 


4781 



50 


26 


539 540 




20 
30 
40 


4998 
5457 
5917 


460 
459 
460 


9229 
9075 
8920 


155 
154 
155 


9975 
336 0515 
1055 


539 
540 
540 


.976 2122 
.975 7344 
.975 2566 


4780 
4778 
4778 


40 
30 
20 




i 

3 
4 


,).1 :i ;H i) 
107 8 108 
K.I 7 102 
215 b 210 




50 


6376 


459 
460 


8766 


154 

154 


1594 


539 
540 


.974 7791 


4775 
4775 


10 




5 



209 5 270 
323 i 324 


35 



10 


0.318 6836 
7296 


460 


0.947 8612 
8457 


155 


0.336 2134 
2673 


539 


2.974 3016 
.973 8243 


4773 



50 


25 


8 
9 


377 3 378 
431 2 432 
485 1 48b 




20 


7755 


459 

ARft 


8302 


155 


3213 


540 


973 3472 


4771 


40 








30 


8215 


ftou 


8148 


154 


3753 


540 


.972 8701 


4 771 


30 








40 
50 


8674 
9134 


459 
460 


7993 
7839 


155 
154 


4292 
4832 


539 
540 


.972 3932 
.971 9165 


4769 
4767 


20 
10 




Cotangent 








459 




155 




540 




4 766 






4820 4800 


36 



10 


0.318 9593 
319 0053 


460 


0.947 7684 
7529 


155 


0.336 5372 
5912 


540 


2.971 4399 
.970 9634 


4765 



50 


24 


1 

2 


4P2 480 
904 900 




20 
30 
40 
50 


0512 
0972 
1431 
1890 


459 
460 
459 
459 


7375 
7220 
7065 
6911 


154 
155 
155 
154 


6451 
6991 
7531 
8071 


539 
540 
540 
540 


.970 4871 
.970 0109 
.969 5348 
.969 0589 


4 763 
4762 
4761 
4759 


40 
30 
20 
10 




3 

4 

6 

7 


1440 1110 
1928 1920 
2410 2400 
2892 28SO () 
3371 3300 








460 




155 




539 




4 758 






8 


3856 3840 


37 





0.319 2350 




0.947 6756 




0.336 8610 




2.968 6831 







23 


9 


4338 4320 




10 
20 
30 
40 


2809 
3269 
3728 
4188 


459 
460 
459 
460 


6601 
6446 
6291 
6137 


155 
155 
155 
154 


9150 
9690 
0.337 0230 
0770 


540 
540 
540 
540 


.968 1074 
.967 6319 
.967 1565 
.966 6813 


4757 
4755 
4754 
4752 


50 
40 
30 
20 




1 

2 
3 


4790 4770 

479 477 
958 954 
1437 H31 () 




50 


4647 


459 


5982 


155 


1310 


540 


.966 2062 


4751 


10 




4 


1910 190* 








459 




155 




540 




4750 






5 


2395 2385 


38 



10 
20 


0.319 6106 
5566 
6025 


460 
459 


0.947 6827 
5672 
5517 


155 
155 


0.337 1850 
2390 
2930 


540 
540 


2.965 7312 
.965 2564 
.964 7817 


4748 
4747 



50 
40 


22 




7 
8 
9 


2874 2802 
3353 3339 
1832 381 f> 
4311 4293 




30 


6485 


460 


5362 


155 


3470 


540 


.964 3071 


4 746 


30 








40 


6944 


459 


5207 


155 


4010 


540 


.963 8327 


4 744 


20 




4750 4730 




50 


7403 


459 
460 


5052 


155 
155 


4550 


540 
540 


.963 3584 


4 743 
4742 


10 




1 

2 


475 473 
950 946 


39 



10 
20 


0.319 7863 
8322 
8781 


[459 
459 


0.947 4897 
4742 
4587 


155 
155 


0.337 6090 
5630 
6170 


540 
540 


2 962 8842 
.962 4102 
.961 9363 


4740 
4739 



50 
40 


21 


3 
4 
5 
6 


1425 1419 
1900 1892 
2375 2305 
2850 2838 




30 
40 
50 


9241 
9700 
320 0159 


460 
459 
459 


4432 
4277 
4122 


155 
155 
155 


6710 
7250 
7790 


540 
540 
540 


.961 4626 
.960 9890 
.960 5155 


4 737 
4736 
4735 


30 
20 
10 




7 
8 
9 


3325 3311 
3800 3784 
4275 4257 








460 




156 




540 




4733 








40 





0.320 0619 




0.947 3966 




0.337 8330 




2.960 0422 







20 








Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff. 


" 


/ 


Proportional Parts 



71 20' 



SINES, COSINES, TANGENTS AND COTANGENTS 
18 40' 



113 



' 


" 


Sine 


Diff 


Cofaine 


Diff 


Tangent 


D.fT 


Cotangent 


Diff 






Proportional Purls 


40 





0.320 0619 




0.947 3966 




0.337 8330 




2.960 0422 







20 








10 


1078 


459 


3811 


155 


8870 


540 


.959 5690 


4 732 


50 










20 


1537 


459 


3656 


155 


9411 


541 


.959 0959 


4731 


40 






Sine 




30 
40 
50 


1997 
2456 
2915 


460 
459 
459 


3501 
3346 
3190 


155 
155 
156 


9951 
0.338 0491 
1031 


540 
540 
540 


.958 6230 
.958 1502 
.957 6775 


4 729 
4728 
4727 


30 
20 
10 




458 459 460 

i i") 8 n <) to o 

2 91 Ml S 92 (1 








459 




155 




540 




4 725 






3 i r 


1 157 7 158 


41 





0.320 3374 




0.947 3035 




0.338 1571 




2 957 2050 







19 


4 18 


'2 IS', h 184 




10 


3834 


460 


2880 


155 


2112 


541 


.956 7326 


4724 


50 




5 229 22M 5 2 JO 




20 
30 


4293 
4752 


459 
459 


2724 
2569 


156 
155 


2652 
3192 


540 
540 


.956 2604 
.955 7883 


4 722 
4721 


40 
30 




271 S 275 t 27*; 
7 , 20 ',21 5 .5 >2 
8 300 t 5(>7 2 ;t.S 




40 


5211 


459 


2414 


155 


3733 


541 


.955 3163 


4 720 


20 




9 112 2 113 1 414 




50 


5671 


460 


2258 


156 


4273 


540 


.954 8444 


4719 


10 














459 




155 




540 




4 717 










42 



10 


0.320 6130 
6589 


459 


0.947 2103 
1947 


156 


0.338 4813 
5354 


541 


2 954 3727 
.953 9012 


4715 



50 


18 




Cosine 




20 
30 


7048 
7508 


459 
460 


1792 
1636 


155 
156 


5894 
6434 


540 
540 


.953 4297 
.952 9584 


4715 
4713 


40 
30 




155 156 157 

1 15 5 l'i l r > 7 




40 


7967 


459 


1481 


155 


6975 


541 


.952 4872 


4 712 


20 




2 .51 31 2 31 4 




50 


8426 


459 
459 


1325 


156 
155 


7515 


540 
541 


.952 0162 


4 710 
4709 


10 




3 If 
4 0. 


> 5 40 8 47 1 
02 1 62 8 


43 



10 


0.320 8885 
9344 


459 


0.947 1170 
1014 


156 


0.338 8056 
8596 


540 


2 951 5453 
.951 0745 


4708 



50 


17 


5 77 5 78 78 3 
93 93 91 2 
7 108 5 109 2 109 9 




20 


9803 


459 


0859 


155 


9137 


541 


.950 6039 


4 706 


40 




8 124 12 t 8 125 




30 


0.321 0263 


460 


0703 


156 


9677 


540 


.950 1334 


4 705 


30 




9 139 5 110 1 141 .; 




40 


0722 


459 


0547 


156 


0.339 0218 


541 


949 6631 


4703 


20 










50 


1181 


459 


0392 


155 


0758 


540 


.949 1928 


4 703 


10 














459 




156 




541 




4 701 










44 





0.321 1640 




0.947 0236 




0.339 1299 




2.948 7227 







16 




Tangent 




10 


2099 


459 


0080 


156 


1839 


540 


.948 2528 


4 699 


50 




540 541 542 




20 


2558 


459 


0.946 9924 


156 


2380 


541 


.947 7830 


4 698 


40 




1 "4 51 1 54 I 




30 


3017 


459 


9769 


155 


2921 


541 


.947 3133 


4 697 


30 




2 108 108 2 108 4 




40 
50 


3476 
3936 


459 
460 
459 


9613 
9457 


156 
156 
156 


3461 
4002 


540 
541 
541 


.946 8437 
.946 3743 


4696 
4694 
4693 


20 
10 




3 102 102 3 102 
4 210 210 4 210 8 
5 27( 270 5 271 
521 321 b 325 2 


45 





0.321 4395 




0.946 9301 




0.339 4543 




2.945 9050 







15 


7 378 378 7 379 1 




10 
20 


4854 
5313 


459 
459 


9145 
8990 


156 
155 


5083 
5624 


540 
541 


.945 4359 
.944 9668 


4 691 
4691 


50 
40 




8 132 432 8 453 
9 480 180 9 487 8 




30 


5772 


459 


8834 


156 


6165 


541 


.944 4979 


4G<*9 


30 










40 


6231 


459 


8678 


156 


6705 


540 


.944 0292 


4687 


20 










50 


6690 


459 
459 


8522 


156 
156 


7246 


541 
541 


.943 5606 


4686 
4685 


10 






Cotangent 


46 





0.321 7149 




946 8366 




0.339 7787 




2.943 0921 







14 




4730 4710 




10 


7608 


459 


8210 


156 


8328 


541 


.942 6237 


4 684 


50 




1 


t7J 171 




20 
30 


8067 
8526 


459 
459 


8054 
7898 


156 
156 


8869 
9409 


541 
540 


.942 1555 
.941 6874 


4 682 
4681 


40 
30 




: J 


910 ( H2 
1119 1113 

1892 1881 




40 


8985 


459 


7742 


156 


9950 


541 


.941 2195 


4679 


20 




5 


2305 2355 




50 


9444 


459 
459 


7586 


156 
156 


0.340 0491 


541 
541 


.940 7517 


4678 
4677 


10 







28, J >H 2X2b () 
3311 3297 


47 



10 


0.321 9903 
0.322 0362 


459 


0.946 7430 
7274 


156 


0.340 1032 
1573 


541 


2.9402840 
.939 8164 


4676 



50 


13 


8 
9 


3784 170$ 
4257 4239 




20 


0821 


459 


7117 


157 


2114 


541 


.939 3490 


4 674 


40 






4700 4690 




30 


1280 


459 


6961 


156 


2655 


541 


.938 8817 


4673 


30 




1 


470 409 




40 
50 


1739 
2198 


459 
459 
459 


6805 
6649 


156 
156 
156 


3196 
3737 


541 
541 
541 


.938 4146 
.937 9476 


4 671 
4670 
4669 


20 
10 




3 
4 


9 tO 938 
1110 1407 
18SO 1870 


48 



10 


0.322 2657 
3116 


459 


0.946 6493 
6336 


157 


0.340 4278 
4819 


541 


2.937 4807 
.937 0139 


4668 



50 


12 


5 


7 


2350 2345 
2820 2814 
3290 ,->283 




20 
30 


3575 
4034 


459 
459 


6180 
6024 


156 
156 


5360 
5901 


541 
541 


.936 5473 
.936 0808 


4 666 
4665 


40 
30 




8 
9 


3700 ,!752 
4230 1221 




40 
50 


4493 
4952 


459 
459 
459 


5867 
5711 


157 
156 
156 


6442 
6983 


541 
541 
541 


.935 6145 
.935 1483 


4663 
4662 
4661 


20 
10 




1 

2 


4670 4650 

467 165 
934 930 


49 





0.322 6411 




0.946 5555 




0.340 7524 




2.934 6822 







11 


3 


1101 1395 




10 


5869 


458 


5398 


157 


8065 


541 


.934 2162 


4660 


50 




4 


1808 (I 1800 




20 
30 
40 


6328 
6787 
7246 


459 
459 
459 


5242 
5086 
4929 


156 
156 
157 


8606 
9147 
9689 


541 
541 
542 


.933 7504 
.933 2847 
.932 8192 


4658 
4657 
4655 


40 
30 
20 




5 
6 

7 
8 


2335 2325 
2802 2790 
3209 3255 
3730 3720 




50 


7705 


459 


4773 


156 


0.341 0230 


541 


.932 3537 


4655 


10 




9 


4203 4185 








459 




157 




541 




4 652 










50 





0.322 8164 




0.946 4616 




0.341 0771 




2.931 8885 







10 










Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



71 10' 



114 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
18 50' 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 


60 





0.322 8164 




0.946 4616 




0.341 0771 




2.931 8885 







10 






10 


8623 


459 


4460 


156 


1312 


541 


.931 4233 


4652 


50 








20 


9081 


458 


4303 


157 


1853 


541 


.930 9583 


4650 


40 




Sine 




30 
40 
50 


9540 
9999 
323 0458 


459 
459 
459 
459 


4147 
3990 
3833 


156 
157 
157 
156 


2395 
2936 
3477 


542 
541 
541 
542 


.930 4934 
.930 0286 
.929 5640 


4 649 
4648 
4646 
4645 


30 
20 
10 




i 

3 


458 459 

45 8 45 9 
91 6 91 8 
137 4 137 7 


51 





0.323 0917 




0.946 3677 




0.341 4019 




2.929 0995 







9 


4 


183 2 183 6 




10 


1376 


459 


3520 


157 


4560 


541 


.928 6351 


4 644 


50 




5 


229 229 5 




20 
30 
40 


1834 
2293 
2752 


458 
459 
459 


3363 
3207 
3050 


157 
156 
157 


5101 
5643 
6184 


541 
542 

541 


.928 1709 
.927 7068 
.927 2428 


4 642 
4641 
4640 


40 
30 
20 






8 
9 


274 8 275 4 
320 6 321 3 
366 4 367 2 
412 2 413 1 




50 


3211 


459 


2893 


157 


6725 


541 


.926 7790 


4638 


10 












459 




157 




542 




4638 








52 



10 


0.323 3670 
4128 


458 


0.946 2736 
2580 


156 


0.341 7267 
7808 


541 


2.926 3152 
.925 8517 


4635 



50 


8 


Cosine 




20 


4587 


459 


2423 


157 


8350 


542 


.925 3882 


4635 


40 




156 157 158 




30 


5046 


459 


2266 


157 


8891 


541 


.924 9249 


4633 


30 




1 15 6 15 7 15 8 




40 
50 


5505 
5963 


459 
458 
459 


2109 
1952 


157 
157 
157 


9433 
9974 


542 
541 
542 


.924 4617 
.923 9987 


4 632 
4630 
4629 


20 
10 




'2 31 2 31 4 31 6 
3 46 8 47 1 47 4 
4 62 4 62 8 63 2 


53 



10 


323 6422 
6881 


459 


0.946 1795 
1639 


156 


0.342 0516 
1057 


541 


2.923 5358 
.923 0730 


4628 



50 


7 


5 78 78 5 79 
93 6 91 2 94 8 
7 109 2 109 9 110 6 




20 
30 


7339 

7798 


458 
459 


1482 
1325 


157 
157 


1599 
2140 


542 
541 


.922 6103 
.922 1478 


4627 
4625 


40 
30 




8 124 8 125 6 126 4 
( ) HO 4 141 3 142 2 




40 


8257 


459 


1168 


157 


2682 


542 


.921 6854 


4624 


20 








50 


8716 


459 


1011 


157 


3224 


542 


.921 2231 


4623 


10 












458 




157 




541 




4 621 








54 





0.323 9174 




0.946 0854 




0.342 3765 




2 920 7610 







6 


Tangent 




10 


9633 


459 


0697 


157 


4307 


542 


.920 2990 


4620 


50 




541 542 543 




20 
30 
40 


0.324 0092 
0550 
1009 


459 
458 
459 


0539 
0382 
0225 


158 
157 
157 


4849 
5390 
5932 


542 
541 
542 


.919 8371 
.919 3754 
.918 9138 


4619 
4617 
4616 


40 
30 
20 




1 54 1 54 2 54 3 
2 108 2 108 4 108 6 
3 162 3 Ib2 6 162 9 
4 216 4 216 8 217 2 




50 


1467 


458 


0068 


157 


6474 


542 


.918 4523 


4615 


10 




5 270 5 271 271 5 








459 




157 




541 




4 614 






6 324 6 325 2 325 8 


55 



10 
20 


324 1926 
2385 
2843 


459 
458 


0.945 9911 
9754 
9597 


157 
157 


0.342 7015 

7557 
8099 


542 
542 


2.917 9909 
.917 5297 
.917 0686 


4612 
4611 



50 
40 


5 


7 378 7 379 4 380 1 
8 432 8 433 6 434 1 
9 486 9 487 8 488 7 




30 


3302 


459 


9439 


158 


8641 


542 


.916 6077 


4609 


30 








40 
50 


3761 
4219 


459 
458 


9282 
9125 


157 
157 


9183 
9724 


542 
541 


.916 1468 
.915 6861 


4609 
4607 


20 
10 




Cotangent 








459 




157 




542 




4605 








56 



10 


324 4678 
5136 


458 


0.945 8968 
8810 


158 


0.343 0266 
0808 


542 


2.915 2256 
.914 7651 


4605 



50 


4 


i 


4650 4630 

465 463 
930 920 




20 


5595 


459 


8653 


157 


1350 


542 


.914 3048 


4 603 


40 




3 


1395 1380 




30 


6053 


458 


8495 


158 


1892 


542 


.913 8447 


4601 


30 




t 


1860 1852 




40 
50 


6512 
6971 


459 
459 


8338 
8181 


157 
157 


2434 
2976 


542 
542 


.913 3846 
.912 9247 


4601 
4599 


20 
10 




6 

7 


232o 23 l. r , 
2790 2778 

3255 o 3241 o 








458 




158 




542 




4598 






8 


3720 3704 


57 





324 7429 




0.945 8023 




0.343 351*8 




2.912 4649 







3 


9 


418.) 41b7 




10 


7888 


459 


7866 


157 


4060 


542 


.912 0052 


4597 


50 








20 


8346 


458 


7708 


158 


4602 


542 


.911 5457 


4595 


40 




4610 4600 




30 < 
40 
50 


8805 
9263 
9722 


459 
458 
459 


7551 
7393 
7236 


157 
158 
157 


5144 
5686 
6228 


542 
542 
542 


.911 0863 
.910 6271 
.910 1679 


4594 
4592 
4592 


30 
20 
10 




1 
2 
3 
4 


461 460 
922 920 
1383 1380 
1844 1840 








458 




158 




542 




4590 






5 


2305 2300 


58 



10 
20 
30 


326 0180 
0639 
1097 
1556 


459 
458 
459 


0.946 7078 
6921 
6763 
6605 


157 
158 
158 


0.343 6770 
7312 
7854 
8396 


542 
542 
542 


2.909 7089 
.909 2500 
.908 7913 
.908 3327 


4589 
4587 
4586 



50 
40 
30 


2 


G 

7 
8 
9 


2766 276(1 
3227 3220 
368H 3680 
4149 4140 




40 


2014 


458 


6448 


157 


8938 


542 


.907 8742 


4585 


20 




4590 4570 




50 


2473 


459 


6290 


158 


9481 


543 


.907 4158 


4584 


10 




1 


459 457 








458 




158 




542 




4582 






2 


918 914 


59 



10 
20 
30 


0.326 2931 
3389 
3848 
4306 


458 
459 
458 


0.946 6132 

5975 
5817 
5659 


157 
158 
158 


0.344 0023 
0565 
1107 
1649 


542 
542 
542 


2.906 9576 
.906 4995 
.906 0415 
.905 5836 


4581 
4580 
4579 



50 
40 
30 


1 


3 

4 
5 
6 

7 


1377 1371 
1836 1828 
2295 2285 
2754 2742 
3213 3199 




40 
50 


4765 
5223 


459 
458 


5501 
5344 


158 
157 


2192 
2734 


543 
542 


.905 1259 
.904 6683 


4577 
4576 


20 
10 




8 
9 


3672 3656 
4131 4113 








459 




158 




542 




4 574 








60 





325 5682 




0.945 5186 




0.344 3276 




2.904 2109 
















Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Paits 



71 



SINES, COSINES, TANGENTS AND COTANGENTS 
19 0' 



115 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


CotaiiKent 


Diff. 






Proportional Parts 








0.325 5682 




0.945 5186 




0.344 3276 




2 904 2109 







60 






10 
20 


6140 
6598 


458 
458 


5028 
4870 


158 
158 


3818 
4361 


542 
543 


.903 7535 
.903 2963 


4574 
4572 


50 
40 




Sine 




30 


7057 


459 


4712 


158 


4903 


542 


.902 8393 


4 570 


30 




458 459 




40 
50 


7515 
7973 


458 
458 
459 


4554 
4396 


158 
158 
158 


5445 
5988 


542 
543 
542 


.902 3823 
.901 9255 


4570 
4568 
4567 


20 
10 




1 45 8 45 
2 91 01 8 
3 137 I 137 7 
4 183 2 18,'5 


1 



10 


0.325 8432 
8890 


458 


0.945 4238 
4080 


158 


0.344 6530 
7073 


543 


2 901 4688 
.901 0123 


4565 



50 


69 


5 220 229 5 
6 274 8 27') 4 




20 


9349 


459 


3922 


158 


7615 


542 


.900 5558 


4565 


40 




7 320 G 321 3 




30 
40 


9807 
0.326 0265 


458 
458 


3764 
3606 


158 
158 


8158 
8700 


543 
542 


.900 0995 
.899 6434 


4563 
4561 


30 
20 




8 360 4 307 2 
9 412 2 413 1 




50 


0723 


458 


3448 


158 


9242 


542 


.899 1873 


4 561 


10 












459 




158 




543 




4559 








2 



10 
20 


0.326 1182 
1640 
2098 


458 
458 


0.945 3290 
3132 
2974 


158 
158 


0.344 9785 
0.345 0327 
0870 


542 
543 


2.898 7314 
.898 2756 
.897 8200 


4558 
4556 



50 
40 


58 


Cosine 

158 159 160 




30 
40 


2557 
3015 


459 
458 


2816 
2657 


158 
159 


1413 
1955 


543 
542 


.897 3644 
.896 9090 


4556 
4554 


30 
20 




1 15 8 1') 16 
2 31 31 8 32 
3 47 1 47 7 48 




50 


3473 


458 


2499 


158 


2498 


543 


.896 4537 


4 553 


10 




4 03 2 03 64 








459 




158 




542 




4551 






5 70 70 5 80 


3 





0.326 3932 




0.945 2341 




0.345 3040 




2 895 9986 







57 


6 01 8 95 4 96 




10 
20 


4390 
4848 


458 
458 


2183 
2025 


158 
158 


3583 
4126 


543 
543 


.895 5436 
.895 0887 


4 550 

4549 


50 
40 




7 110 111 3 112 
8 126 4 127 2 128 
9 142 2 143 1 144 




30 


5306 


458 


1866 


159 


4668 


542 


.894 6339 


4 548 


30 








40 


5764 


458 


1708 


158 


5211 


543 


.894 1793 


4546 


20 








50 


6223 


459 


1550 


158 


5754 


543 


893 7248 


4545 


10 












458 




159 




542 




4544 






Tangent 


4 



10 
20 


326 6681 
7139 
7597 


458 
458 


0.945 1391 
1233 

1074 


158 
159 


0.345 6296 
6839 
7382 


543 
543 


2.893 2704 
.892 8161 
.892 3620 


4543 
4541 



50 
40 


56 


542 543 544 

1 51 2 51 3 54 4 

2 108 1 108 6 108 8 




30 


8056 


459 


0916 


158 


7925 


543 


891 9080 


4 540 


30 




3 162 10J 9 103 2 




40 


8514 


458 


0758 


158 


8467 


542 


.891 4541 


4 539 


20 




{ 216 8 217 2 217 




50 


8972 


458 
458 


0599 


159 
158 


9010 


543 
543 


891 0004 


4537 
4537 


10 




5 271 271 r > 272 
325 2 325 H 320 1 


5 



10 


326 9430 
9888 


458 


0.945 0441 
0282 


159 


345 9553 
0.346 0096 


543 


2 890 5467 
.890 0933 


4534 



50 


55 


7 370 1 3SO 1 380 S 
H mf, 431 1 435 2 

9 187 8 188 7 480 6 




20 


327 0346 


458 


0124 


158 


0639 


543 


.889 6399 


4534 


40 








30 


0805 


459 


944 9965 


159 


1182 


543 


.889 1867 


4 532 


30 








40 
50 


1263 
1721 


458 
458 


9806 
9648 


159 
158 


1725 
2268 


543 
543 


888 7335 
.888 2806 


4532 
4529 


20 
10 




Cotangent 








458 




159 




542 




4 529 






4570 4550 


6 





327 2179 




0.944 9489 




0.346 2810 




2 887 8277 







54 


1 4">7 455 




10 


2637 


458 


9330 


159 


3353 


543 


.837 3750 


4527 


50 




2 OH 910 




20 
30 


3095 
3553 


458 
458 


9172 
9013 


158 
159 


3896 
4439 


543 
543 


886 9224 
886 4699 


4526 
4525 


40 
30 




3 1371 1305 
4 182S 1X20 




40 


4011 


458 


8854 


159 


4982 


543 


886 0175 


4524 


20 




5 228") '111') 
2712 2730 




50 


4470 


459 


8696 


158 


5525 


543 


.885 5653 


4522 


10 




7 U99 ( 3185 








458 




159 




543 




4 521 






,H {050 JO JO 


7 





0.327 4928 




0.944 8537 




0.346 6068 




2 885 1132 







53 


9 \\\\ 1095 




10 
20 
30 
40 


5386 
5844 
6302 
6760 


458 
458 
458 
458 


8378 
8219 
8060 
7902 


159 
159 
159 
158 


6612 

7155 
7698 
8241 


544 
543 
543 
543 


884 6612 
8842094 
883 7577 
883 3061 


4520 
4518 
4517 
4516 


50 
40 
30 
20 




4530 4510 

1 45, 151 
2 906 o CMJ_> () 
3 J3V) 1 .",.'> i 




50 


7218 


458 


7743 


159 


8784 


543 


.882 8546 


4515 


10 




1 1812 1801 








458 




159 




543 




4513 






5 2205 I) 2255 


8 





0.327 7676 




0.944 7584 




346 9327 




2 882 4033 







52 


2718 270b 




10 
20 


8134 
8592 


458 
458 


7425 
7266 


159 
159 


9870 
347 0414 


543 
544 


.881 9521 
.881 5010 


4512 
4511 


50 
40 




7 5171 3157 
8 .' 621 3608 
9 4077 4059 




30 


9050 


458 


7107 


159 


0957 


543 


881 0500 


4510 


30 








40 


9508 


458 


6948 


159 


1500 


543 


.880 5992 


4508 


20 




4500 




50 


9966 


458 
458 


6789 


159 
159 


2043 


543 
543 


.880 1485 


4507 
4506 


10 




1 150 
2 000 


9 



10 


0.328 0424 
0882 


458 


0.944 6630 
6471 


159 


0.347 2586 
3130 


544 


2 879 6979 
.879 2474 


4505 



50 


51 


3 1350 
4 1800 




20 


1340 


458 


6312 


159 


3673 


543 


.878 7971 


4503 


40 




6 2700 




30 


1798 


458 


6153 


159 


4216 


543 


.878 3469 


4 502 


30 




7 3150 




40 
50 


2256 
2714 


458 
458 


5994 
5835 


159 
159 


4760 
5303 


544 
543 


877 8969 
.877 4469 


4500 
4500 


20 
10 




8 3(>00 
9 1050 








458 




160 




543 




4499 








10 




0.328 3172 




0.944 5675 




0.347 5846 




2.876 9970 







50 








Cosine 


Diff 


Sine 


Diff 


Cot nn Kent 


Diff 


Tangent 


DifT 


" 


' 


Pioportmnal Parts 



70 50' 



116 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
19 10' 



, : 


Sine 


Dili 


Cosmo 


Diff 


Tan pent 


Dtff 


Cotangent 


Diff 






Pioport 


lonal Parts 


10 





0.328 3172 




0.944 5675 




0.347 5846 




2.876 9970 







60 








10 
20 


3630 
4088 


458 
458 


5516 
5357 


159 
159 


6390 
6933 


544 
543 


.876 5473 
876 0977 


4 497 
4496 


50 
40 




Sine 




30 


4546 


458 


5198 


159 


7477 


544 


.875 6483 


4494 


30 




457 


458 




40 
50 


5003 
5461 


457 
458 


5039 
4879 


159 
160 


8020 
8564 


543 
544 


875 1990 
.874 7498 


4493 
4492 


20 
10 




1 i;> 

li 91 
3 137 


7 15 8 
t 01 
1 137 4 








458 




159 




543 




4 491 






4 1X2 


S 18-5 2 


11 





0.328 6919 




0.944 4720 




0.347 9107 




2.874 3007 







49 


f, 228 


5 229 




10 


6377 


458 


4561 


159 


9651 


544 


.873 8517 


4 490 


50 




>7l 


2 274 8 




20 
30 


6835 
7293 


458 
458 


4401 
4242 


160 
159 


0.348 0194 
0738 


543 
544 


.873 4029 
.872 9542 


4488 
4487 


40 
30 




7 319 

S -KM 

9 in 


9 320 fi 

(> 3tfti 4 

3 112 '2 




40 


7751 


458 


4083 


159 


1281 


543 


.872 5056 


4 486 


20 










50 


8209 


458 


3923 


160 


1825 


544 


.872 0572 


4484 


10 














457 




159 




543 




4484 










12 





0.328 8666 




944 3764 




0.348 2368 




2 871 6083 







48 


Cosine 




10 
20 
30 


9124 
9582 
0.329 0040 


458 
458 
458 


3604 
3445 
3285 


160 
159 
160 


2912 
3456 
3999 


544 
544 
543 


.871 1606 
.870 7126 
.870 2646 


4482 
4480 
4480 


50 
40 
30 




159 

1 15 9 

2 .-tl 8 


160 161 

Hi 1C) 1 
32 32 2 




40 


0498 


458 


3126 


159 


4543 


544 


869 8168 


4 478 


20 




3 17 7 


IS 48 > 




50 


0956 


458 


2966 


160 


5087 


544 


869 3691 


4 477 


10 




1 Oi i, 


1)1 fit 1 








457 




159 




543 




4476 






,") 7<t ~> 


8<) () HO "> 


13 



10 


329 1413 
1871 


458 


0.944 2807 
2647 


160 


0.348 5630 
6174 


544 


2 868 9215 
868 4740 


4475 



50 


47 


i> M.i 1 

7 111 I 
s 127 2 


( )i> % 
112 112 7 
12S () 128 8 




20 


2329 


458 


2487 


160 


6718 


544 


.868 0267 


4473 


40 




113 1 


1 II 14 J 9 




30 


2787 


458 


2328 


159 


7262 


544 


867 5795 


4472 


30 










40 


3245 


458 


2168 


160 


7805 


543 


867 1324 


4 471 


20 










50 


3702 


457 
458 


2009 


159 
160 


8349 


544 
544 


.866 6855 


4 469 
4469 


10 




Tangent 


14 



10 


329 4160 
4618 


458 


0.944 1849 
1689 


160 


348 8893 
9437 


514 


2 866 2386 
.865 7919 


4467 



50 


46 


543 

1 r>4 3 


544 545 

"34 I 54 5 




20 


5076 


458 


1529 


160 


9981 


544 


.865 3453 


4466 


40 




2 108 h 


10S 8 10*1 




30 
40 


5533 
5991 


457 
458 


1370 
1210 


159 
160 


349 0525 
1068 


544 
543 


864 8989 
.864 4525 


4464 
4464 


30 
20 




3 102 9 
1 217 '2 


HiJ 2 lf>3 5 
L'17 218 




50 


6449 


458 
457 


1050 


160 
160 


1612 


544 
544 


.864 0063 


4462 
4461 


10 




"> 271 "> 
<> V25 S 
7 380 1 


272 272 5 
32b 1 327 
380 8 381 ;> 


15 





329 6906 




0.944 0890 




0.349 2156 




2 863 5602 







45 


8 4,H 4 


435 2 43G 




10 


7364 


458 


0730 


160 


2700 


544 


.863 1143 


4459 


50 




9 488 7 


4<<9 490 5 




20 


7822 


458 


0570 


160 


3244 


544 


.862 6684 


4459 


40 










30 


8280 


458 


0411 


159 


3788 


544 


.862 2227 


4457 


30 










40 
50 


8737 
9195 


457 
458 


0251 
0091 


160 
160 


4332 
4876 


544 
544 


.861 7771 
.861 3316 


4456 
4455 


20 
10 




Cotangent 








458 




160 




544 




4453 






% 4500 


4480 


16 





329 9653 




0.943 9931 




0.349 5420 




2.860 8863 







44 


1 4. r >0 448 




10 
20 
30 
40 


0.3300110 
0568 
1026 
1483 


457 
458 
458 
457 


9771 
9611 
9451 
9291 


160 
160 
160 
160 


5964 
6508 
7053 
7597 


544 
544 
545 
544 


8604411 
.859 9960 
.859 5510 
.859 1061 


4 452 
4451 
4450 
4449 


50 
40 
30 
20 




2 ( K)() 890 
3 1350 1344 
4 1800 1792 
5 2250 2210 
(i 2700 2(iS 




50 


1941 


458 
457 


9131 


160 
160 


8141 


544 
544 


.858 6614 


4447 
4446 


10 




7 3150 313f) 
8 -5<)00 3581 


17 





0.330 2398 




0.943 8971 




0.349 8685 




2.858 2168 







43 


10.">0 40,32 




10 
20 
30 


2856 
3314 
3771 


458 
458 
457 


8810 
8650 
8490 


161 
160 
160 


9229 
9773 
350 0317 


544 
544 
544 


.857 7723 
.857 3280 
.856 8837 


4445 
4443 
4443 


50 
40 
30 




4460 4440 

1 440 441 

'2 892 888 




40 


4229 


458 


8330 


160 


0862 


545 


.856 4396 


4 441 


20 




3 1338 133? 




50 


4686 


457 


8170 


160 


1406 


544 


.855 9956 


4440 


10 




\ 1784 1776 








458 




160 




544 




4439 






5 2230 


2220 


18 



10 


0.330 5144 
5601 


457 


0.943 8010 
7849 


161 


0.350 1950 
2494 


544 


2.855 6517 
.855 1080 


4437 



50 


42 


207( 26b4 
7 U22 W8 
8 35(>8 3552 




20 


6059 


458 


7689 


160 


3039 


545 


8546644 


4436 


40 




9 1014 3990 




30 


6517 


458 


7529 


160 


3583 


544 


.854 2209 


4435 


30 










40 


6974 


457 


7368 


161 


4127 


544 


.853 7775 


4 434 


20 






4420 




50 


7432 


458 
457 


7208 


160 
160 


4672 


545 
544 


.853 3342 


4433 
4431 


10 




1 


442 

884 


19 





0.330 7889 




0.943 7048 




0.350 6216 




2.862 8911 







41 


i 

4 


I32(i 
1768 




10 


8347 


458 


6887 


161 


5761 


545 


.852 4481 


4430 


50 




5 


2210 




20 


8804 


457 


6727 


160 


6305 


544 


.852 0052 


4 429 


40 




6 


2652 




30 
40 
50 


9262 
9719 
0.331 0177 


458 
457 
458 


6566 
6406 
6246 


161 
160 
160 


6849 
7394 
7938 


544 
545 
544 


.851 5625 
.851 1198 
.850 6773 


4 427 
4427 
4425 


30 
20 
10 




7 
8 
9 


3091 
3536 
3978 








457 




161 




545 




4 424 










20 





0.331 0634 




943 6085 




0.3508483 




2.850 2349 







40 










Cosmo 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff. 


" 


' 


Proportional Parts 



70 40' 



SINES, COSINES, TANGENTS AND COTANGENTS 
19 20' 



117 



' 


" 


i-me 


)iff 


Cosine 


Diff. 


Tangent 


>, 


Cotangent 


Diff 






Pmpoitiomii Pan- 


20 





0.331 0634 




0.943 6085 




0.350 8483 




2.850 2349 







40 






10 


1092 


458 


5925 


160 


9027 


544 


.849 7926 


4423 


50 








20 


1549 


457 


5764 


161 


9572 


545 


.849 3505 


4421 


40 




Sine 




30 
40 


2007 
2464 


458 
457 


5603 
5443 


161 
160 


0.351 0116 
0661 


544 
545 


.848 9084 
.848 4665 


4421 
4419 


30 
20 




457 458 




50 


2921 


457 


5282 


161 


1205 


544 


.848 0247 


4418 


10 




1 45 7 1") 8 
2 ')! 4 91 6 








458 




160 




545 




4 416 






3 137 1 137 4 


21 





0.331 3379 




0.943 5122 




0.351 1750 




2.847 5831 







39 


4 1K2 8 183 2 




10 


3836 


457 


4961 


161 


2295 


545 


.847 1415 


4416 


50 




5 228 ') 229 




20 


4294 


458 


4800 


161 


2839 


544 


.846 7001 


4 414 


40 




271 2 271 8 




30 


4751 


457 


4640 


160 


3384 


545 


.846 2588 


4413 


30 




7 >>19 9 4'2'i 6 
8 305 b .'.(>(, 4 




40 


5209 


458 


4479 


161 


3929 


545 


.845 8176 


4412 


20 




9 411 3 4U '2 




50 


5666 


457 


4318 


161 


4473 


544 


.845 3766 


4410 


10 












457 




161 




545 




4410 








22 





0.331 6123 




0.943 4157 




0.361 5018 




2.844 9356 







38 






10 


6581 


458 


3997 


160 


5563 


545 


.844 4948 


4 408 


50 




Cosine 




20 


7038 


457 


3836 


161 


6107 


544 


.844 0541 


4407 


40 




160 161 162 




30 


7495 


457 


3675 


161 


6652 


545 


.843 6136 


4405 


30 




1 Ib 16 1 16 2 




40 


7953 


458 


3514 


161 


7197 


545 


.843 1731 


4405 


20 




2 32 32 '2 32 4 




50 


8410 


457 
457 


3353 


161 
161 


7742 


545 
545 


.842 7328 


4 403 
4402 


10 




3 48 48 3 48 6 
4 61 04 4 bl 8 


23 



10 


0.331 8867 
9325 


458 


0.943 3192 
3031 


161 


0.361 8287 
8831 


544 


2.842 2926 
.841 8525 


4401 



50 


37 


5 80 80 5 81 
9b 90 b 97 '2 
7 112 112 7 113 4 




20 


9782 


457 


2871 


160 


9376 


545 


.841 4126 


4 399 


40 




8 128 128 8 129 6 




30 


332 0239 


457 


2710 


161 


9921 


545 


.840 9727 


4399 


30 




9 111 144 9 145 8 




40 


0697 


458 


2549 


161 


0.352 0466 


545 


.840 5330 


4 397 


20 








50 


1154 


457 


2388 


161 


1011 


515 


.840 0934 


4396 


10 












457 




161 




545 




4395 








24 





0.332 1611 




0.943 2227 




0.352 1556 




2.839 6539 







36 


Tangent 




10 


2069 


458 


2066 


161 


2101 


545 


.839 2146 


4393 


50 




544 545 546 




20 


2526 


457 


1904 


162 


2646 


545 


.838 7753 


4393 


40 




1 54 4 54 5 51 6 




30 
40 
50 


2983 
3440 
3898 


457 
457 
458 


1743 
1582 
1421 


161 
161 
161 


3191 
3736 
4281 


545 
545 
545 


.838 3362 
.837 8972 
.837 4583 


4391 
4390 
4389 


30 
20 
10 




2 108 8 109 109 2 
3 lf> 5 2 11)3 5 103 8 
4 217 b 218 218 4 
5 272 272 5 273 








457 




161 




545 




4 387 






b 320 4 327 327 6 


25 



10 
20 


0.332 4355 
4812 
5269 


457 
457 


0.943 1260 
1099 
0938 


161 
161 


0.362 4826 
5371 
5916 


545 
545 


2.837 0196 
.836 5810 
.836 1424 


4386 
4386 



50 
40 


35 


7 580 8 381 5 382 2 
8 135 2 430 436 8 
9 189 6 490 5 491 4 




30 


5727 


458 


0776 


162 


6461 


545 


.835 7041 


4 383 


30 








40 


6184 


457 


0615 


161 


7006 


545 


.835 2658 


4383 


20 








50 


6641 


457 
457 


0454 


161 
161 


7551 


545 
545 


.834 8276 


4 382 
4380 


10 




Cotangent 


26 





0.332 7098 




0.943 0293 




0.352 8096 




2.834 3896 







34 


4420 4400 




10 
20 


7555 
8013 


457 
458 


0131 
0.942 9970 


162 
161 


8642 
9187 


546 
545 


.833 9517 
.833 5139 


4 379 
4376 


50 
40 




1 112 410 
2 881 880 
3 1326 1320 




30 


8470 


457 


9809 


161 


9732 


545 


.833 0762 


4 377 


30 




4 1768 1760 




40 


8927 


457 


9647 


162 


0.353 0277 


545 


.832 6387 


4375 


20 




5 2210 2200 




50 


9384 


457 
457 


9486 


161 
162 


0823 


546 
545 


.832 2013 


4 374 
4373 


10 




6 2652 2610 
7 3091 3080 


27 



10 


0.332 9841 
0.333 0298 


457 


0.942 9324 
9163 


161 


0.363 1368 
1913 


545 


2.831 7640 
.831 3268 


4372 



50 


33 


8 3536 3520 
9 3978 3969 




20 


0756 


458 


9001 


162 


2458 


545 


.830 8897 


4 371 


40 




4380 4360 




30 


1213 


457 


8840 


161 


3004 


546 


.830 4527 


4 370 


30 




1 438 436 




40 
50 


1670 
2127 


457 
457 
457 


8678 
8517 


162 
161 
162 


3549 
4094 


545 
545 
546 


.830 0159 
.829 5792 


4 368 
4367 
4366 


20 
10 




2 870 872 
3 1311 1308 
4 1752 1714 




























28 



10 


0.333 2584 
3041 


457 


0.942 8356 
8194 


161 


0.353 4640 
5185 


545 


2.829 1426 
.828 7062 


4364 



50 


32 


6 2628 2616 
7 30G6 3052 




20 
30 


3498 
3955 


457 
457 


8032 
7871 


162 
161 


5731 
6276 


546 
545 


.828 2698 
.827 8336 


4 364 
4362 


40 
30 




8 3504 3488 
9 3942 392 i 




40 
50 


4412 
4869 


457 
457 


7709 
7547 


162 
162 


6821 
7367 


545 
546 


.827 3975 
.826 9615 


4361 
4360 


20 
10 




4350 

1 135 








457 




161 




545 




4359 






2 870 


29 



10 


0.333 6326 
5783 


457 


0.942 7386 
7224 


162 


0.363 7912 
8458 


546 


2 826 5256 
.826 0899 


4357 



50 


31 


3 1305 9 
4 1740 




20 
30 
40 


6241 
6698 
7155 


458 
457 
457 


7062 
6900 
6739 


162 
162 
161 


9003 
9549 
354 0095 


545 
546 
546 


.825 6542 
.825 2187 
.824 7833 


4357 
4355 
4354 


40 
30 
20 




5 2175 
6 2619 
7 304' 
8 3480 




50 


7612 


457 
457 


6577 


162 
162 


0640 


545 
546 


.824 3480 


4 353 

4351 


10 




9 3915 


30 





0.333 8069 




0.942 6415 




0.354 1186 




2.823 9129 







30 








Cosine 


DifF 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Propoitional Paitn 



70 30' 



118 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
19 30' 



' 


" 


Sine 


Diflf 


Cosine 


Diff 


Tangent 


Diff. 


Cotangent 


Diff. 






Ptoportional Parts 


30 





0.333 8069 




0.942 6415 




0.354 1186 




2.823 9129 







30 






10 


8526 


457 


6253 


162 


1731 


545 


.823 4778 


4 351 


50 








20 


8983 


457 


6091 


162 


2277 


546 


.823 0429 


4349 


40 




Sine 




30 


9440 


457 


5929 


162 


2823 


546 


.822 6081 


4348 


30 




456 457 




40 


9897 


457 


5767 


162 


3368 


545 


.822 1735 


4346 


20 




1 45 6 45 7 




50 


0.334 0354 


457 
456 


5605 


162 
161 


3914 


546 
546 


.821 7389 


4346 
4344 


10 




2 
3 


91 2 91 4 
136 8 137 1 


31 



10 
20 


0.334 0810 
1267 
1724 


457 
457 


0.942 5444 
5282 
5120 


162 
162 


0.354 4460 
5005 
5551 


545 
546 


2.821 3045 
.820 8701 
.820 4359 


4344 
4342 



50 
40 


29 


4 
5 
6 
7 


182 4 182 8 
228 228 5 
273 6 274 2 
319 2 319 9 




30 


2181 


457 


4958 


162 


6097 


546 


.820 0018 


4 341 


30 




8 


364 8 365 6 




40 


2638 


457 


4795 


163 


6643 


546 


.819 5679 


4339 


20 




9 


410 4 411 3 




50 


3095 


457 


4633 


162 


7189 


546 


.819 1340 


4339 


10 












457 




162 




545 




4337 








32 



10 


0.334 3552 
4009 


457 


0.942 4471 
4309 


162 


0.354 7734 
8280 


546 


2.818 7003 
.818 2667 


4S36 



50 


28 


Cosine 




20 


4466 


457 


4147 


162 


8826 


546 


.817 8332 


4335 


40 




161 162 163 




30 


4923 


457 


3985 


162 


9372 


546 


.817 3998 


4334 


30 




1 16 1 16 2 16 3 




40 
50 


5380 
5837 


457 
457 


3823 
3661 


162 
162 


9918 
355 0464 


546 
546 


.816 9666 
.816 5334 


4332 
4332 


20 
10 




2 32 2 32 4 32 6 
3 48 3 48 6 48 9 
4 64 4 04 8 05 2 








456 




163 




546 




4330 








33 



10 


0.334 6293 
6750 


457 


0.942 3498 
3336 


162 


0.355 1010 
1556 


546 


2.816 1004 
.815 6675 


4329 



50 


27 


5 W 5 81 81 5 
% 6 97 2 97 8 
7 112 7 113 4 114 1 




20 
30 


7207 
7664 


457 
457 


3174 
3012 


162 
162 


2102 
2648 


546 
546 


.815 2347 
.814 8021 


4328 
4326 


40 
30 




8 128 8 120 6 130 4 
9 144 9 145 8 140 7 




40 


8121 


457 


2849 


163 


3194 


546 


.814 3695 


4326 


20 








50 


8578 


457 


2687 


162 


3740 


546 


.813 9371 


4 324 


10 












456 




162 




546 




4323 








34 





0.334 9034 




0.942 2525 




0.365 4286 




2.813 5048 







26 


Tangent 




10 


9491 


457 


2362 


163 


4832 


546 


.813 0726 


4322 


50 




545 546 547 




20 


9948 


457 


2200 


162 


5378 


546 


812 6405 


4321 


40 




1 :,4 5 54 6 54 7 




30 
40 
50 


0.335 0405 
0862 
1318 


457 
457 
456 
457 


2037 
1875 
1712 


163 
162 
163 
162 


5924 
6470 
7016 


546 
546 
546 
546 


.812 2086 
.811 7767 
.811 3450 


4319 
4319 
4317 
4316 


30 
20 
10 




J 109 109 2 109 4 
A 163 5 103 8 164 1 
4 218 218 4 218 8 
5 272 5 273 273 5 
fi 327 327 328 2 


35 





0.336 1775 




0.942 1550 




0.355 7662 




2.810 9134 







25 


7 381 5 382 2 382 9 




10 
20 


2232 
2689 


457 
457 


1387 
1225 


163 
162 


8109 
8655 


547 
546 


.810 4819 
.810 0506 


4315 
4313 


50 
40 




8 430 430 8 437 
9 490 5 491 4 492 3 




30 


3145 


456 


1062 


163 


9201 


546 


.809 6193 


4 313 


30 








40 


3602 


457 


0900 


162 


9747 


546 


.809 1882 


4311 


20 








50 


4059 


457 
457 


0737 


163 
162 


0.356 0294 


547 
546 


.808 7572 


4 310 
4309 


10 




Cotangent 


36 





0.335 4516 




0.942 0675 




0.356 0840 




2.808 3263 







24\ 


4350 4330 




10 
20 
30 


4972 
5429 
5886 


456 
457 
457 


0412 
0249 
0087 


163 
163 
162 


1386 
1932 
2479 


546 
546 
547 


.807 8955 
.807 4648 
.807 0342 


4308 
4307 
4306 


50 
40 
30 




3 
4 


435 433 
870 866 
1505 1299 
1740 1732 




40 


6343 


457 


0.941 9924 


163 


3025 


546 


.806 6038 


4304 


20 




r, 


2 75 2165 




50 


6799 


456 
457 


9761 


163 
163 


3571 


546 
547 


.806 1735 


4303 
4302 


10 







2610 2598 
3)45 3031 


37 



10 


0.335 7256 
7713 


457 


941 9598 
9436 


162 


0.356 4118 
4664 


546 


2.806 7433 
.805 3133 


4300 



50 


23 


8 
9 


3480 3461 
3915 3897 




20 


8169 


456 


9273 


163 


5211 


547 


8048833 


4300 


40 




4310 4300 




30 


8626 


457 


9110 


163 


5757 


546 


.804 4535 


4298 


30 




1 431 430 




40 
50 


9083 
9539 


457 
456 
457 


8947 
8784 


163 
163 
163 


6304 
6850 


547 
546 
547 


.804 0237 
.803 5941 


4298 
4296 
4295 


20 
10 




3 
4 


K62 800 
1293 1290 
1724 1720 


38 



10 


0.335 99% 
0.336 0452 


456 


0.941 8621 
8458 


163 


0.366 7397 
7943 


546 


2.803 1646 
.802 7352 


4294 



50 


22 





2155 2150 
2586 2580 
3017 3010 




20 
30 


0909 
1366 


457 
457 


8296 
8133 


162 
163 


8490 
9036 


547 
546 


.802 3060 
.801 8768 


4292 
4292 


40 
30 




8 
9 


3448 3440 
3879 3870 




40 
50 


1822 
2279 


456 
457 
456 


7970 
7807 


163 
163 
163 


9583 
0.357 0129 


547 
546 
547 


.801 4478 
.801 0189 


4290 
4289 
4288 


20 
10 




4290 4280 

1 429 428 


39 





0.336 2735 




0.941 7644 




0.367 0676 




2.800 6901 







21 


2 
3 


858 850 
1287 1284 




10 


3192 


457 


7481 


163 


1223 


547 


.800 1614 


4287 


50 




4 


171G 1712 




20 
30 
40 


3649 
4105 
4562 


457 
456 
457 


7317 
7154 
6991 


164 
163 
163 


1769 
2316 
2863 


546 

547 
547 


799 7329 
.799 3044 
.798 8761 


4285 
4285 
4283 


40 
30 
20 




6 

q 


2115 2140 
2571 2568 
3003 2996 
3432 3424 




50 


5018 


456 


6828 


163 


3409 


546 


798 4479 


4282 


10 




9 


3801 3852 








457 




163 




547 




4281 








40 





0.336 5475 




0.941 6665 




0.357 3956 




2.798 0198 







20 








Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



70 20' 



SINES, COSINES, TANGENTS AND COTANGENTS 
19 40' 



119 



' 


" 


Sine 


Diff 


Cosine 


Diff. 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 


40 





0.336 6475 




0.941 6665 




0.357 3956 




2.798 0198 







20 








10 
20 


5931 
6388 


456 
457 


6502 
6339 


163 
163 


4503 
5050 


547 
547 


.797 5918 
.797 1640 


4280 
4278 


50 
40 




Sine 




30 


6844 


456 


6175 


164 


5596 


546 


.796 7362 


4278 


30 




456 


457 




40 
50 


7301 
7757 


457 
456 


6012 
5849 


163 
163 


6143 
6690 


547 
547 


.796 3086 
.7958811 


4276 
4275 


20 
10 




1 45 
2 91 
3 130 


6 45 7 
2 91 4 
8 137 1 








457 




163 




547 




4274 






4 182 


4 182 8 


41 





0.336 8214 




0.941 5686 




0.367 7237 




2.796 4537 







19 


5 228 


228 5 




10 


8670 


456 


5522 


164 


7784 


547 


.795 0264 


4273 


50 




273 


6 274 2 




20 
30 


9127 
9583 


457 
456 


5359 
5196 


163 
163 


8331 
8878 


547 
547 


.794 5992 
.794 1722 


4272 
4270 


40 
30 




7 319 2 319 9 
8 304 8 365 6 
9 410 4 411 3 




40 


03370040 


457 


5032 


164 


9424 


546 


.793 7452 


4270 


20 










50 


0496 


456 


4869 


163 


9971 


547 


.793 3184 


4268 


10 














457 




164 




547 




4267 










42 





0.337 0963 




0.941 4705 




0.358 0518 




2.792 8917 







18 


Cosine 




10 
20 
30 


1409 
1865 
2322 


456 
456 
457 


4542 
4379 
4215 


163 
163 
164 


1065 
1612 
2159 


547 
547 
547 


.792 4651 
.792 0386 
.791 6123 


4266 
4265 
4263 


50 
40 
30 




163 

1 16 3 

2 ',2 6 


164 165 

16 4 16 5 
32 8 33 




40 


2778 


456 


4052 


163 


2706 


547 


.791 1860 


4263 


20 




3 18 9 


49 2 49 5 




50 


3235 


457 


3888 


164 


3253 


547 


.790 7599 


4261 


10 




i 05 2 


65 6 60 








456 




164 




548 




4260 






5 81 5 


82 82 5 


43 



10 
20 


0.337 3691 
4147 
4604 


456 
457 


0.941 3724 
3561 
3397 


163 
164 


0.358 3801 
4348 
4895 


547 
547 


2.790 3339 
.789 9080 
.789 4822 


4259 
4258 



50 
40 


17 


97 8 
7 114 1 
8 130 4 
9 146 7 


98 4 99 
114 8 115 5 
131 2 132 
147 6 148 5 




30 


5060 


456 


3234 


163 


5442 


547 


.789 0565 


4 257 


30 










40 


5517 


457 


3070 


164 


5989 


547 


.788 6310 


4 255 


20 










50 


5973 


456 
456 


2906 


164 
163 


6536 


547 
547 


.788 2055 


4255 
4253 


10 




Tangent 


44 



10 


0.337 6429 
6886 


457 


0.941 2743 
2579 


164 


0.358 7083 
7631 


548 


2.787 7802 
.787 3550 


4252 



50 


16 


546 

1 54 6 


547 548 

54 7 54 8 




20 


7342 


456 


2415 


164 


8178 


547 


.786 9299 


4251 


40 




2 100 2 


109 4 109 b 




30 
40 
50 


7798 
8255 
8711 


456 
457 
456 
456 


2252 
2088 
1924 


163 
164 
164 
164 


8725 
9272 
9820 


547 
547 
548 
547 


.786 5049 
.786 0801 
.785 6553 


4250 
4248 
4248 
4246 


30 
20 
10 




3 163 8 
4 218 i 
5 273 
(, 327 

7 382 2 


Ib4 1 164 4 
218 8 219 2 
273 5 274 
328 2 328 8 
382 9 383 6 


46 





0.337 9167 




0.941 1760 




0.359 0367 




2.785 2307 







15 


8 430 8 


437 6 438 4 




10 


9623 


456 


1596 


164 


0914 


547 


.784 8062 


4245 


50 




9 491 4 


492 3 493 2 




20 


338 0080 


457 


1432 


164 


1462 


548 


.784 3818 


4244 


40 










30 


0536 


456 


1269 


163 


2009 


547 


.783 9575 


4243 


30 










40 
50 


0992 
1449 


456 
457 


1105 
0941 


164 
164 


2556 
3104 


547 
548 


783 5333 
.783 1092 


4242 
4241 


20 
10 




Cotangent 








456 




164 




547 




4239 






4280 


4260 


46 





0.338 1905 




0.941 0777 




0.369 3661 




2.782 6853 







14 


1 428 


426 




10 
20 
30 
40 


2361 
2817 
3274 
3730 


456 
456 
457 
456 


0613 
0449 
0285 
0121 


164 
164 
164 
164 


4199 
4746 
5293 
5841 


548 
547 
547 
548 


.782 2615 
.781 8378 
781 4141 
.780 9907 


4238 
4237 
4237 
4234 


50 
40 
30 
20 




2 85'i 
3 1284 
4 1712 
5 2140 
6 2508 


852 
1278 
1704 
2130 
2556 




50 


4186 


456 
456 


0.940 9957 


164 
164 


6388 


547 
548 


.780 5673 


4234 
4233 


10 




7 29% 
8 3424 


2982 
3408 


47 





0.338 4642 




0.940 9793 




0.359 6936 




2.780 1440 







13 


9 3852 


3834 




10 
20 
30 


5098 
5555 
6011 


456 
457 
456 


9629 
9464 
9300 


164 
165 
164 


7484 
8031 
8579 


548 
547 
548 


779 7209 
.779 2978 
.778 8749 


4231 
4231 
4229 


50 
40 
30 




4240 

1 424 

2 8 IS 


4220 

422 
844 




40 
50 


6467 
6923 


456 
456 
456 


9136 
8972 


164 
164 
164 


9126 
9674 


547 
548 
548 


.778 4521 
.778 0294 


4228 
4227 
4225 


20 
10 




.3 1272 1206 
4 10% 1088 
5 2120 2110 


48 



10 


0.338 7379 
7835 


456 


0.940 8808 
8643 


165 


0.360 0222 
0769 


547 


2.777 6069 
.777 1844 


4225 



50 


12 


b 2544 2532 
7 29b8 2954 
8 1392 3370 




20 


8291 


456 


8479 


164 


1317 


548 


.776 7620 


4224 


40 




9 3810 3798 




30 
40 
50 


8748 
9204 
9660 


457 
456 
456 
456 


8315 
8151 
7986 


164 
164 
165 
164 


1865 
2412 
2960 


548 
547 
548 
548 


.776 3398 
.775 9177 
.775 4957 


4222 
4221 
4220 
4219 


30 
20 
10 




1 
2 
3 


4210 

421 

842 
12b3 


49 



10 


0.339 0116 
0572 


456 


0.940 7822 
7658 


164 


0.360 3508 
4056 


548 


2.775 0738 
774 6520 


4218 



50 


11 


4 
5 


1684 
2105 




20 
30 
40 


1028 
1484 
1940 


456 
456 
456 


7493 
7329 
7164 


165 
164 
165 


4603 
5151 
5699 


547 
548 
548 


.774 2303 
773 8088 
.773 3873 


4217 
4215 
4215 


40 
30 
20 




6 
7 

8 
9 


2526 
2917 
3368 
3789 




50 


2396 


456 
456 


7000 


164 
165 


6247 


548 
548 


.772 9660 


4213 
4212 


10 








50 





0.339 2852 




0.940 6835 




0.360 6796 




2.772 5448 







10 










Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Propoitiorml Parts 



70 10' 



120 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
19 50' 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Pro Dottional Parts 


50 





339 2852 




0.940 6835 




0.360 6795 




2.772 5448 







10 








10 
20 


3309 
3765 


457 
456 


6671 
6506 


164 
165 


7343 
7891 


548 
548 


.772 1237 
.771 7027 


4 211 
4210 


50 
40 




Sine 




30 


4221 


456 


6342 


164 


8438 


547 


.771 2818 


4 209 


30 




455 


456 457 




40 
50 


4677 
5133 


456 
456 
456 


6177 
6013 


165 
164 
165 


8986 
9534 


548 
548 
548 


.7708611 
.770 4404 


4 207 
4207 
4205 


20 
10 




1 4 r > > 
2 91 
3 1 ?b 5 


45 6 45 7 
91 2 91 4 
136 8 137 1 


























4 182 


182 4 182 8 


51 



10 


0.339 5589 
6045 


456 


0.940 5848 
5683 


165 


0.361 0082 
0630 


548 


2.770 0199 
.769 5995 


4204 



50 


9 


5 227 5 
6 273 


228 228 5 
273 6 274 2 




20 
30 
40 


6501 
6957 
7413 


456 
456 
456 


5519 
5354 
5189 


164 
165 
165 


1178 
1726 
2275 


548 
548 
549 


.769 1791 
.768 7590 
.768 3389 


4 204 
4201 
4201 


40 
30 
20 




7 318 5 
8 364 
9 409 5 


319 2 319 9 
364 8 365 6 
410 4 411 3 




50 


7869 


456 


5025 


164 


2823 


548 


.767 9189 


4200 


10 














456 




165 




548 




4 199 










62 



10 


339 8325 
8781 


456 


0.940 4860 
4695 


165 


0.361 3371 
3919 


548 


2 767 4990 
.767 0793 


4197 



50 


8 


Cosine 




20 


9236 


455 


4530 


165 


4467 


548 


.766 6597 


4 196 


40 




164 


165 166 




30 
40 
50 


9692 
340 0148 
0604 


456 
456 
456 


4366 
4201 
4036 


164 
16S 
165 


5015 
5563 
6112 


548 
548 
549 


.766 2401 
.765 8207 
765 4014 


4 196 
4194 
4193 


30 
20 
10 




1 16 4 
'2 3_> 8 
3 49 2 
4 65 6 


16 5 16 6 
31 33 2 
49 5 49 8 
66 66 1 








456 




165 




548 




4 192 






5 82 


82 5 83 


53 





340 1060 




0.940 3871 




0.361 6660 




2.764 9822 







7 


6 98 4 


99 99 6 




10 
20 
30 


1516 
1972 
2428 


456 
456 
456 


3706 
3541 
3376 


165 
165 
165 


7208 
7756 
8305 


548 
548 
549 


.764 5632 
.764 1442 
.763 7254 


4 190 
4190 
4188 


50 
40 
30 




7 114 8 
8 131 2 
9 147 6 


115 5 116 2 
132 132 8 
148 5 149 4 




40 


2884 


456 


3211 


165 


8853 


548 


.763 3066 


4 188 


20 










50 


3340 


456 


3046 


165 


9401 


548 


.762 8880 


4 186 


10 














456 




165 




548 




4185 






Tangent 


54 



10 
20 
30 


340 3796 
4251 
4707 
5163 


455 
456 
456 


0.940 2881 
2716 
2551 
2386 


165 
165 
165 


0.361 9949 
0.362 0498 
1046 
1595 


549 
548 
549 


2.762 4695 
.7620511 
761 6328 
.761 2146 


4184 
4183 
4182 



50 
40 
30 


6 


547 548 549 

1 54 7 54 8 54 9 
2 109 4 109 6 109 8 
3 Ib4 1 164 4 164 7 




40 


5619 


456 


2221 


165 


2143 


548 


.760 7966 


4 180 


20 




4 218 8 


219 2 219 6 




50 


6075 


456 
456 


2056 


165 
165 


2691 


548 
549 


.760 3786 


4180 
4178 


10 




5 273 5 
6 328 2 


274 274 5 
328 8 329 4 


55 



10 


0.340 6631 
6986 


455 


0.940 1891 
1726 


165 


0.362 3240 
3788 


548 


2.759 9608 
.759 5431 


4177 



50 


5 


7 382 9 
8 437 6 
9 492 3 


383 6 384 3 
438 4 439 2 
493 2 494 1 




20 


7442 


456 


1560 


166 


4337 


549 


759 1255 


4 176 


40 










30 


7898 


456 


1395 


165 


4885 


548 


758 7079 


4 176 


30 










40 
50 


8354 
8810 


456 
456 


1230 
1065 


165 
165 


5434 
5982 


549 
548 


.758 2906 
.757 8733 


4 173 
4173 


20 
10 




Cotangent 








455 




166 




549 




4 172 










56 



10 
20 


340 9265 
9721 
0.341 0177 


456 
456 


0.940 0899 
0734 
0569 


165 
165 


0.362 6531 
7080 
7628 


549 
548 


2.767 4661 
.757 0391 
.756 6221 


4170 
4170 



50 
40 


4 


4210 4200 
" 1 421 420 

2 842 840 
3 1263 1260 




30 


0633 


456 


0403 


166 


8177 


549 


.756 2053 


4168 


30 




4 1684 1680 




40 
50 


1088 
1544 


455 
456 
456 


0238 
0073 


165 
165 
166 


8725 
9274 


548 
549 
549 


.755 7886 
.755 3719 


4 167 

4167 
4165 


20 
10 




5 2105 2100 
6 2526 2520 
7 2947 2940 
8 3368 3360 


57 





03412000 




0.939 9907 




0.362 9823 




2.754 9554 







3 


9 3789 3780 




10 


2455 


455 


9742 


165 


0.363 0371 


548 


.754 5391 


4 163 


50 










20 


2911 


456 


9576 


166 


0920 


549 


.754 1228 


4 163 


40 




4180 4160 




30 
40 


3367 
3823 


456 
456 


9411 
9245 


165 
166 


1469 
2018 


549 
549 


7537066 
.753 2906 


4162 
4160 


30 
20 




1 118 416 
2 83b 832 
3 1251 1218 




50 


4278 


455 


9080 


165 


2566 


548 


.752 8746 


4 160 


10 




4 1672 1664 








456 




166 




549 




4 158 


































5 2091 


2080 


58 





0.341 4734 




0.939 8914 




0.363 3115 




2.752 4588 







2 


6 2508 2496 




10 
20 
30 


5190 
5645 
6101 


456 
455 
456 


8749 
8583 
8418 


165 
166 
165 


3664 
4213 
4762 


549 
549 
549 


.752 0431 
.751 6274 
.751 2119 


4 157 
4157 
4155 


50 
40 
30 




7 2926 2912 
8 3344 3328 
9 3762 3744 




40 


6557 


456 


8252 


166 


5311 


549 


.750 7966 


4153 


20 






4140 




50 


7012 


455 


8086 


166 


5860 


549 


.750 3813 


4 153 


10 




1 


414 








456 




165 




548 




4 152 






2 


828 


59 



10 
20 
30 


0.341 7468 
7923 
8379 
8835 


455 
456 
456 


0.939 7921 

7755 
7589 
7424 


166 
166 
165 


03636408 
6957 
7506 
8055 


549 
549 
549 


2.749 9661 
.749 5510 
.749 1361 
.748 7213 


4151 
4149 
4148 



50 
40 
30 


1 


3 
4 
5 
6 

7 


1242 
1656 
2070 
2484 
2898 




40 


9290 


455 


7258 


166 


8604 


549 


.748 3065 


4 148 


20 




8 


3312 




50 


9746 


456 


7092 


166 


9153 


549 


.747 8919 


4 146 


10 




9 


3726 








455 




166 




549 




4145 










60 





342 0201 




0.939 6926 




0.363 9702 




2.747 4774 


















Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



70 



SINES, COSINES, TANGENTS AND COTANGENTS 
20 0' 



121 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


DifT 


Cotangent 


Diff 






Proportional Parts 








0.342 0201 




0.939 6926 




0.363 9702 




2.747 4774 







60 








10 
20 


0657 
1113 


456 
456 


6760 
6595 


166 
165 


0.364 0251 
0800 


549 
549 


.747 0630 
.746 6487 


4144 
4143 


50 
40 




Sine 




30 


1568 


455 


6429 


166 


1350 


550 


.746 2346 


4 141 


30 




455 456 




40 


2024 


456 


6263 


166 


1899 


549 


.745 8205 


4 141 


20 




i 4: 


5 45 6 




50 


2479 


455 
456 


6097 


166 
166 


2448 


549 
549 


.745 4066 


4 139 

4139 


10 




2 Ml 91 2 
3 130 5 13(5 8 


1 





0.342 2935 


JCC 


0.939 5931 


1 


0.364 2997 


fiAQ 


2.744 9927 


A. 137 





69 


1 18L 


182 4 
* 'v> ft 




10 


3390 


400 


5765 


1OD 


3546 


aVt 


.744 5790 


4 la i 


50 




273 273 




20 


3846 


456 


5599 


166 


4095 


549 


.744 1654 


4 136 


40 




7 318 5 319 2 




30 
40 


4301 
4757 


455 
456 


5433 
5267 


166 
166 


4644 
5194 


549 
550 


.743 7518 
.743 3384 


4 136 
4134 


30 
20 




8 304 304 8 
9 409 5 410 4 




50 


5212 


455 


5101 


166 


5743 


549 


.742 9251 


4 133 


10 














456 




166 




549 




4 131 










2 



10 


0.342 5668 
6123 


455 


0.939 4936 
4769 


166 


0.364 6292 
6841 


549 


2.742 6120 
.742 0989 


4131 



50 


58 


Cosine 




20 


6579 


456 


4603 


166 


7391 


550 


.741 6859 


4 130 


40 




165 


166 167 




30 
40 
50 


7034 
7490 
7945 


455 
456 
455 


4436 
4270 
4104 


167 
166 
166 


7940 
8489 
9039 


549 
549 
550 


.741 2731 
.740 8603 
.740 4477 


4128 
4128 
4126 


30 
20 
10 




1 10 5 
2 33 
3 19 5 
1 00 


10 6 10 7 
33 2 33 4 
49 8 50 1 








455 




166 




549 




4 125 






5 S2 5 


83 83 5 


3 





0.342 8400 




0.939 3938 




0.364 9588 




2.740 0362 







57 


() 99 


99 100 2 




10 
20 
30 


8856 
9311 
9767 


456 
455 
456 


3772 
3605 
3439 


166 
167 
166 


365 0138 
0687 
1236 


550 
549 
549 


.739 6228 
.739 2105 
738 7983 


4 124 
4123 
4122 


50 
40 
30 




7 115 5 
8 132 
l ) 148 5 


110 2 IK) 9 
13? 8 133 
119 4 150 3 




40 


343 0222 


455 


3273 


166 


1786 


550 


.738 3862 


4 121 


20 










50 


0678 


456 


3107 


166 


2335 


549 


.737 9742 


4 120 


10 














455 




167 




550 




4 119 






Tantrent 


4 



10 


343 1133 
1588 


455 


0.939 2940 
2774 


166 


0.365 2885 
3434 


549 


2.737 6623 
737 1506 


4117 



50 


66 


549 


550 551 




20 
30 


2044 
2499 


456 

455 


2608 
2441 


166 
167 


3984 
4533 


550 
549 


.736 7389 
736 3274 


4 117 
4115 


40 
30 




1 5 1 ') 

2 1C) 8 
.! lol 7 


55 55 1 
lt< 110 2 
l() r Kn 3 




40 


2954 


455 


2275 


166 


5083 


550 


.735 9159 


4 115 


20 




4 219 (i 


220 220 4 




50 


3410 


456 
455 


2108 


167 
166 


5633 


550 
549 


.735 5046 


4 113 
4112 


10 




5 274 fi 
32! 4 


275 27 r > 5 
33( 330 (> 


5 



10 


343 3865 
4320 


455 


0.939 1942 
1775 


167 


365 6182 
6732 


550 


2.735 0934 
.734 6823 


4111 



50 


55 


7 3X1 3 
8 4'!9 2 
9 194 1 


3S. r 385 7 
440 440 8 
495 495 9 




20 


4776 


456 


1609 


166 


7282 


550 


.734 2713 


4 110 


40 










30 


5231 


455 


1442 


167 


7831 


549 


.733 8604 


4 109 


30 










40 
50 


5686 
6142 


455 
456 


1276 
1109 


166 
167 


8381 
8931 


550 
550 


.733 4497 
.733 0390 


4 107 
4107 


20 
10 




Cotangent 








455 




166 




549 




4 106 






4140 4120 


6 



10 


343 6597 
7052 


455 


0.939 0943 
0776 


167 


0.365 9480 
0.366 0030 


550 


2.732 6284 
.732 2180 


4104 



50 


54 


1 414 412 

2 828 824 




20 
30 
40 
50 


7508 
7963 
8418 
8873 


456 
455 
455 
455 


0609 
0443 
0276 
0109 


167 
166 
167 
167 


0580 
1130 
1679 
2229 


550 
550 
549 
550 


.731 8076 
.731 3974 
.730 9873 
.730 5773 


4 104 
4102 
4101 
4100 


40 
30 
20 
10 




3 1242 1230 
4 Ih.'.fi 10 18 
5 J070 2000 
2184 2172 
7 2898 2884 








456 




167 




550 




4099 






H 33 1. 


3290 


7 





0.343 9329 




0.938 9942 




0.366 2779 




2.730 1674 







53 


9 3720 3708 




10 
20 
30 
40 


9784 
344 0239 
0694 
1149 


455 
455 
455 
455 


9776 
9609 
9442 
9275 


166 
167 
167 
167 


3329 
3879 
4429 
4979 


550 
550 
550 
550 


.729 7576 
729 3479 
.728 9383 
.728 5288 


4098 
4097 
4096 
4095 


50 
40 
30 
20 




4100 4090 

1 410 409 
2 820 818 
3 1'MO 1227 




50 


1605 


456 


9108 


167 


5529 


550 


.728 1195 


4093 


10 




4 10 tO 10-50 








455 




166 




550 




4092 






5 20 r )( 


) 2045 


8 



10 
20 


344 2060 
2515 
2970 


455 
455 


0.938 8942 
8775 
8608 


167 
167 


0.366 6079 
6629 
7179 


550 
550 


2.727 7102 
.7273011 
.726 8920 


4091 
4091 



50 
40 


52 


21(50 2T,4 
7 2870 2803 
8 32HO 3272 
9 3690 3081 




30 


3425 


455 


8441 


167 


7729 


550 


.726 4831 


4089 


30 










40 


3880 


455 


8274 


167 


8279 


550 


.726 0743 


4088 


20 






4080 




50 


4336 


456 
455 


8107 


167 
167 


8829 


550 
550 


.725 6655 


4088 
4086 


10 




1 


408 
810 


9 



10 
20 


0.344 4791 
5246 
5701 


455 
455 


0.938 7940 
7773 
7606 


167 
167 


0.366 9379 
9929 
0.367 0479 


550 
550 


2.725 2569 
.724 8484 
.724 4400 


4085 
4084 



50 
40 


51 


3 
4 
5 
6 


1224 
1632 
2040 
2448 




30 
40 
50 


6156 
6611 
7066 


455 
455 
455 


7439 
7272 
7105 


167 
167 
167 


1029 
1579 
2129 


550 
550 
550 


.724 0318 
.723 6236 
.723 2155 


4082 
4082 
4081 


30 
20 
10 




7 
8 
9 


2850 
3204 
3672 








455 




167 




551 




4079 










10 





0.344 7621 




0.938 6938 




0.367 2680 




2.722 8076 







60 










Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



69 50' 



122 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
20 10' 



' 


- 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 


10 





0.344 7621 




0.938 6938 




0.367 2680 




2.722 8076 







50 








10 
20 


7977 
8432 


456 
455 


6770 
6603 


168 
167 


3230 
3780 


550 
550 


.722 3997 
.721 9920 


4079 
4077 


50 
40 






Sine 




30 


8887 


455 


6436 


167 


4330 


550 


.721 5843 


4077 


30 




454 455 456 




40 
50 


9342 
9797 


455 
455 
455 


6269 
6102 


167 
167 
168 


4881 
5431 


551 
550 
550 


.721 1768 
.720 7694 


4075 
4074 
4074 


20 
10 




1 45 4 45 5 45 6 
2 90 8 91 91 2 
3 136 2 136 5 136 8 


























4 18 


h IM O IS'/ 4 


11 



10 


0.345 0252 
0707 


455 


0.938 5934 
5767 


167 


0.367 5981 
6532 


551 


2.720 3620 
.719 9548 


4072 



50 


49 


5 227 227 5 228 
fi 272 4 273 273 6 




20 
30 
40 


1162 
1617 
2072 


455 
455 
455 


5600 
5432 
5265 


167 
168 
167 


7082 
7632 
8183 


550 
550 
551 


.719 5477 
.719 1407 
.718 7339 


4071 
4070 
4068 


40 
30 
20 




7 317 8 318 5 319 2 
8 363 2 364 364 8 
9 408 6 409 5 410 4 




50 


2527 


455 


5098 


167 


8733 


550 


.718 3271 


4068 


10 














455 




168 




551 




4067 










12 



10 
20 


0.345 2982 
3437 
3892 


455 
455 


0.938 4930 
4763 
4595 


167 
168 


0.367 9284 
9834 
0.368 0385 


550 
551 


2.717 9204 
.717 5138 
.717 1074 


4066 
4064 



50 
40 


48 


Cosine 

167 168 169 




30 
40 


4347 
4802 


455 
455 


4428 
4260 


167 
168 


0935 
1486 


550 
551 


.716 7010 
.716 2948 


4064 
4062 


30 
20 




1 Ib 7 16 8 16 9 
2 33 4 33 6 33 8 
3 50 1 50 4 50 7 




50 


5257 


455 


4093 


167 


2036 


550 


.715 8887 


4061 


10 




4 66 8 67 2 67 6 








455 




168 




551 




4061 






5 83 r ) 84 84 5 


13 





0.345 5712 




0.938 3925 




0.368 2687 




2.716 4826 







47 


fi 100 2 100 8 101 4 




10 
20 


6167 
6622 


455 
455 


3758 
3590 


167 
168 


3137 
3688 


550 
551 


.715 0767 
714 6709 


4059 
4058 


50 
40 




7 IK) 9 117 6 118 3 
8 133 6 134 4 135 2 
9 150 3 151 2 152 1 




30 


7077 


455 


3423 


167 


4238 


550 


.714 2652 


4057 


30 










40 


7532 


455 


3255 


168 


4789 


551 


.713 8596 


4056 


20 










50 


7986 


454 


3087 


168 


5340 


551 


.713 4541 


4 055 


10 














455 




167 




550 




4054 








Taneent 


14 



10 
20 
30 


0.345 8441 
8896 
9351 
9806 


455 
455 
455 


0.938 2920 
2752 
2584 
2417 


168 
168 
167 


368 6890 
6441 
6992 
7542 


551 
551 
550 


2 713 0487 
.712 6434 
.712 2382 
711 8332 


4053 
4052 
4050 



50 
40 
30 


46 


550 551 552 

1 5 r > (I 55 1 55 2 
2 110 110 2 110 4 
3 165 165 3 165 6 




40 


0.346 0261 


455 


2249 


168 


8093 


551 


.711 4282 


4050 


20 




4 220 220 4 220 8 




50 


0716 


455 
455 


2081 


168 
168 


8644 


551 
551 


.711 0234 


4048 
4048 


10 




5 275 275 5 276 
G 'HO 3.0 331 2 


15 



10 


0.346 1171 
1625 


454 


0.938 1913 
1746 


167 


0.368 9195 
9746 


551 


2.710 6186 
.710 2140 


4046 



50 


45 


7 385 () 385 7 386 1 
8 440 440 8 441 6 
9 495 495 9 490 8 




20 


2080 


455 


1578 


168 


0.369 0296 


550 


.709 8094 


4046 


40 










30 


2535 


455 


1410 


168 


0847 


551 


709 4050 


4044 


30 










40 
50 


2990 
3445 


455 
455 


1242 
1074 


168 
168 


1398 
1949 


551 
551 


709 0007 
708 5965 


4043 
4042 


20 
10 




Cotangent 








455 




168 




551 




4042 








4080 4070 


16 



10 


0.346 3900 
4354 


454 


0.938 0906 
0738 


168 


0.369 2500 
3051 


551 


2.708 1923 
.707 7883 


4040 



50 


44 


i 

2 


408 407 
81(> 814 




20 
30 


4809 
5264 


455 
455 


0570 
0402 


168 
168 


3602 
4153 


551 
551 


.707 3844 
.706 9806 


4039 
4038 


40 
30 




3 
4 


1224 1221 
1632 1628 




40 
50 


5719 
6173 


455 
454 


0234 
0066 


168 
168 


4704 
5255 


551 
551 


.706 5770 
.706 1734 


4036 
4036 


20 
10 







2010 2035 
2 MS 2112 
28% 2849 








455 




168 




551 




4 035 






8 


.4204 3256 


17 





0.346 6628 




0.937 9898 




0.369 5806 




2.705 7699 







43 


9 


3072 3663 




10 
20 
30 
40 


7083 
7538 
7992 
8447 


455 
455 
454 
455 


9730 
9562 
9394 
9226 


168 
168 
168 
168 


6357 
6908 
7459 
8010 


551 
551 
551 
551 


.705 3665 
.704 9633 
.704 5601 
.704 1571 


4034 
4032 
4032 
4030 


50 
40 
30 
20 




1 

3 


4050 4040 

405 404 
810 808 
215 1212 




50 


8902 


455 


9058 


168 


8561 


551 


.703 7541 


4030 


10 




4 


1620 1616 








455 




169 




551 




4028 






5 


2025 2020 


18 



10 
20 


0.346 9367 
9811 
0.347 0266 


454 
455 


0.937 8889 
8721 
8553 


168 
168 


0.369 9112 
9663 
0.370 0215 


551 
552 


2.703 3613 
.702 9485 
.702 5459 


4028 
4026 



50 
40 


42 


7 
8 
9 


2430 2424 
2835 2828 
3240 3232 
36 15 3636 




30 


0721 


455 


8385 


168 


0766 


551 


.702 1434 


4025 


30 










40 


1175 


454 


8216 


169 


1317 


551 


.701 7410 


4024 


20 






4030 4020 




50 


1630 


455 
455 


8048 


168 
168 


1868 


551 
552 


.701 3386 


4024 
4022 


10 




2 


403 402 
806 804 


19 



10 
20 


347 2085 
2539 
2994 


454 
455 


0.937 7880 
7711 
7543 


169 
168 


0.370 2420 
2971 
3522 


551 
551 


2.700 9364 
.700 5343 
.700 1323 


4021 
4020 



50 
40 


41 


3 
4 
5 
6 


1209 1206 
1612 1608 
2015 2010 
2418 2412 




30 
40 
50 


3448 
3903 
4358 


454 
455 
455 


7375 
7206 
7038 


168 
169 
168 


4073 
4625 
5176 


551 
552 
551 


.699 7304 
.699 3287 
.698 9270 


4019 
4017 
4017 


30 
20 
10 




7 
8 
9 


2821 2814 
3224 3216 
3627 3G18 








454 




169 




552 




4016 










20 





0.347 4812 




0.937 6869 




0.370 6728 




2.698 6264 







40 










Cosmo 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



69 40' 



SINES, COSINES, TANGENTS AND COTANGENTS 
20 20' 



123 



' 


" 


Sine 


D!ff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 


20 





0.347 4812 




0.937 6869 




0.370 6728 




2.698 5254 







40 






10 


5267 


455 


6701 


168 


6279 


551 


698 1239 


4015 


50 




Sine 




20 
30 
40 


5722 
6176 
6631 


455 
454 
455 


6532 
6364 
6195 


169 
168 
169 


6830 
7382 
7933 


551 
552 
551 


.697 7226 
.697 3213 
.696 9201 


4 013 
4013 
4012 


40 
30 
20 




i 

2 


454 455 

45 4 45 5 
90 8 91 




50 


7085 


454 


6027 


168 


8485 


552 


.696 5191 


4010 


10 




3 


130 2 136 5 








455 




169 




551 




4010 






4 


181 6 182 


21 



10 
20 


0.347 7540 
7994 
8449 


454 

455 


0.937 6858 
5690 
5521 


168 
169 


0.370 9036 
9588 
0.371 0139 


552 
551 


2.696 1181 
.695 7173 
.695 3166 


4008 
4007 



50 
40 


39 


6 

7 
8 


227 227 5 
272 4 273 
317 8 318 5 
363 2 364 




30 


8903 


454 


5352 


169 


0691 


552 


.694 9159 


4007 


30 




9 


408 6 409 5 




40 


9358 


455 


5184 


168 


1242 


551 


.694 5154 


4005 


20 








50 


9812 


454 


5015 


169 


1794 


552 


.694 1150 


4004 


10 












455 




169 




552 




4003 








22 





0.348 0267 




0.937 4846 




0.371 2346 




2.693 7147 







38 


Cosine 




10 


0721 


454 


4677 


169 


2897 


551 


.693 3144 


4 003 


50 




168 169 170 




20 


1176 


455 


4509 


168 


3449 


552 


.692 9143 


4001 


40 




1 16 8 16 9 17 




30 


1630 


454 


4340 


169 


4001 


552 


.692 5143 


4000 


30 




2 33 6 3 8 31 




40 
50 


2085 
2539 


455 
454 
455 


4171 
4002 


169 
169 
169 


4552 
5104 


551 
552 
552 


.692 1144 
.691 7146 


3999 
3998 
3997 


20 
10 




3 :>0 4 50 7 51 
4 7 2 67 6 68 

f) 84 84 5 8f> 


23 





0.348 2994 




0.937 3833 




0.371 6656 




2.691 3149 







37 


(> 100 8 101 4 102 
7 117 6 118 3 119 




10 


3448 


454 


3665 


168 


6208 


552 


.690 9153 


3 996 


50 




8 134 4 135 2 136 




20 


3903 


455 


3496 


169 


6759 


551 


.690 5159 


3 994 


40 




9 151 2 152 1 153 




30 


4357 


454 


3327 


169 


7311 


552 


.690 1165 


3 994 


30 








40 


4812 


455 


3158 


169 


7863 


552 


.689 7172 


3993 


20 








50 


5266 


454 
454 


2989 


169 
169 


8415 


552 
552 


.689 3180 


3 992 
3990 


10 




Tangent 


24 





0.348 5720 




0.937 2820 




0.371 8967 




2.688 9190 







36 


551 552 553 




10 


6175 


455 


2651 


169 


9519 


552 


.688 5200 


3 990 


50 




1 55 1 55 2 55 3 




20 
30 
40 


6629 
7084 
7538 


454 
455 
454 


2482 
2313 
2144 


169 
169 
169 


372 0070 
0622 
1174 


551 
552 
552 


.688 1211 
.687 7224 
.687 3237 


3989 
3987 
3987 


40 
30 
20 




2 110 2 110 4 110 6 
3 K>5 3 165 (i 165 9 
4 220 4 220 8 221 2 
5 275 5 27(5 276 5 




50 


7992 


454 


1975 


169 


1726 


552 


.686 9252 


3 985 


10 




6 330 6 331 2 331 8 








455 




169 




552 




3985 






7 3S5 7 386 1 387 1 


26 



10 


0.348 8447 
8901 


454 


0.937 1806 
1636 


170 


0.372 2278 
2830 


552 


2.686 6267 
.686 1284 


3983 



50 


35 


8 440 8 4U 6 442 4 
9 495 9 496 8 497 7 




20 


9355 


454 


1467 


169 


3382 


552 


.685 7302 


3982 


40 








30 


9810 


455 


1298 


169 


3934 


552 


.685 3320 


3982 


30 








40 
50 


349 0264 
0718 


454 
454 
455 


1129 
0960 


169 
169 
170 


4486 
5038 


552 
552 
552 


.684 9340 
.684 5361 


3 980 
3979 
3978 


20 
10 




Cotangent 

4010 4000 


26 



10 
20 


349 1173 
1627 
2081 


454 
454 


937 0790 
0621 
0452 


169 
169 


0.372 6690 
6143 
6695 


553 
552 


2.684 1383 
.683 7405 
.683 3429 


3978 
3976 



50 
40 


34 


i 

3 
4 


101 400 
802 800 
1203 1200 
1601 1600 




30 


2536 


455 


0283 


169 


7247 


552 


.682 9454 


3 975 


30 




5 


2005 2000 




40 
50 


2990 
3444 


454 
454 
454 


0113 
936 9944 


170 
169 
170 


7799 
8351 


552 
552 
552 


.682 5480 
.682 1507 


3974 
3973 
3972 


20 
10 




6 

7 

8 


2401) 2400 
2807 2800 
3208 3200 


























9 


36(19 3(100 (1 


27 





0.349 3898 




0.936 9774 




0.372 8903 




2.681 7636 







33 






10 


4353 


455 


9605 


169 


9456 


553 


.681 3564 


3971 


50 




3990 3980 




20 


4807 


454 


9436 


169 


373 0008 


552 


.680 9594 


3 970 


40 




1 399 398 




30 


5261 


454 


9266 


170 


0560 


552 


.680 5625 


3969 


30 




2 


798 796 




40 
50 


5715 
6170 


454 
455 

454 


9097 
8927 


169 
170 
169 


1113 
1665 


553 
552 
552 


.680 1657 
679 7690 


3968 
3967 
3965 


20 
10 




3 
4 

5 


1197 1191 
1596 1592 
1995 1900 


























6 


2391 258S 


28 





0.349 6624 




0.936 8768 




0.373 2217 




2.679 3725 







32 


7 


279.5 2786 




10 


7078 


454 


8588 


170 


2770 


553 


.678 9760 


3965 


50 




8 


3192 31H4 




20 


7532 


454 


8419 


169 


3322 


552 


.678 5796 


3964 


40 




9 3591 3582 




30 
40 
50 


7986 
8441 
8895 


454 
455 
454 


8249 
8079 
7910 


170 
170 
169 


3874 
4427 
4979 


552 
553 
552 


.678 1833 
.677 7872 
.6773911 


3963 
3961 
3961 


30 
20 
10 




1 

2 


3960 3950 

396 395 
792 790 








454 




170 




553 




3 960 






3 


1188 1185 


29 





0.349 9349 




0.936 7740 




0.373 5532 




2.676 9951 







31 


4 


1584 1580 




10 


9803 


454 


7571 


169 


6084 


552 


.676 5993 


3958 


50 




5 


1980 1975 




20 
30 


0,350 0257 
0711 


454 
454 


7401 
7231 


170 
170 


6637 
7189 


553 
552 


.676 2035 
.675 8078 


3958 
3957 


40 
30 






7 
8 


2376 2370 
2772 2765 
3168 3160 




40 


1166 


455 


7061 


170 


7742 


553 


.675 4123 


3 955 


20 




9 


3504 3555 




50 


1620 


454 


6892 


169 


8294 


552 


.675 0168 


3 955 


10 












454 




170 




553 




3 953 








30 





0.360 2074 




0.936 6722 




0.373 8847 




2.674 6215 







30 








Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



69 30' 



124 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
20 30' 



' 


" 


Sine 


Diff 


Cosmo 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 


30 



10 
20 


0.350 2074 
2528 
2982 


454 
454 


0.936 6722 
6552 
6382 


170 
170 


0.373 8847 
9399 
9952 


552 
553 


2.674 6215 
674 2262 
.673 8311 


3953 
3951 



50 
40 


30 




Sine 




30 


3436 


454 


6212 


170 


374 0505 


553 


.673 4361 


3950 


30 




453 454 455 




40 


3890 


454 


6043 


169 


1057 


552 


.673 0411 


3950 


20 




1 1. 


3 45 4 45 5 




50 


4344 


454 
454 


5873 


170 
170 


1610 


553 
553 


.672 6463 


3948 
3947 


10 




2 90 6 90 8 91 
3 r,5 9 136 2 136 5 


31 



10 


350 4798 
5252 


454 


0.936 6703 
5533 


170 


0.374 2163 
2715 


552 


2 672 2616 
.671 8569 


3947 



50 


29 


4 181 2 181 6 182 
5 226 5 227 227 5 
6 271 8 272 4 273 




20 
30 
40 


5706 
6160 
6615 


454 
454 
455 


5363 
5193 
5023 


170 
170 
170 


3268 
3821 
4374 


553 
553 
553 


.671 4624 
.671 0680 
.670 6736 


3 945 
3944 
3944 


40 
30 
20 




7 317 1 317 8 318 5 
8 362 4 363 2 364 
9 407 7 408 6 409 5 




50 


7069 


454 


4853 


170 


4926 


552 


.670 2794 


3942 


10 














454 




170 




553 




3 941 










32 



10 


350 7623 

7977 


454 


0.936 4683 
4513 


170 


0.374 5479 
6032 


553 


2.669 8863 
.669 4913 


3940 



50 


28 




Cosine 




20 


8431 


454 


4343 


170 


6585 


553 


.669 0974 


3939 


40 




169 170 171 




30 
40 


8885 
9339 


454 
454 


4173 
4003 


170 
170 


7138 
7691 


553 
553 


.668 7035 
.668 3098 


3939 
3937 


30 
20 




1 16 9 17 17 1 

2 -'3 8 34 34 2 
.5 50 7 51 51 3 




50 


9793 


454 


3832 


171 


8244 


553 


.667 9162 


3 936 


10 




4 


' 6 68 68 4 








453 




170 




553 




3 935 






5 81 5 85 85 5 


33 





351 0246 




0.936 3662 




374 8797 




2.667 6227 







27 


t> 10 


1 4 102 102 6 




10 
20 
30 


0700 
1154 
1608 


454 
454 
454 


3492 
3322 
3152 


170 
170 
170 


9350 
9903 
0.375 0456 


553 
553 
553 


.667 1293 
.666 7360 
.666 3428 


3 034 
3933 
3932 


50 
40 
30 




7 118 3 11 ( ) 11'.) 7 
S 1.55 2 136 136 8 
9 '1Y2 1 153 153 9 




40 


2062 


454 


2981 


171 


1009 


553 


.665 9497 


3931 


20 










50 


2516 


454 


2811 


170 


1562 


553 


.665 5567 


3 930 


10 














454 




170 




553 




3 929 








Tangent 


34 



10 


351 2970 
3424 


454 


936 2641 
2470 


171 


0.375 2115 
2668 


553 


2.665 1638 
.664 7710 


3928 



50 


26 


552 553 554 




20 


3878 


454 


2300 


170 


3221 


553 


6643783 


3 927 


40 




2 111 


) t no c, no 8 




30 


4332 


454 


2130 


170 


3774 


553 


.663 9857 


3 926 


30 




'5 It) 


") 6 !()"> 9 l')h 2 




40 


4786 


454 


1959 


171 


4327 


553 


.663 5932 


3 925 


20 




4 220 8 221 2 221 6 




50 


5240 


454 
453 


1789 


170 
171 


4880 


553 
553 


.663 2008 


3 924 
3923 


10 




(> .5.5 


i 276 5 277 
1 2 331 8 332 4 


35 



10 


0.351 6693 
6147 


454 


0.936 1618 
1448 


170 


0.375 5433 
5987 


554 


2.662 8085 
662 4163 


3922 



50 


25 


7 386 4 387 1 387 8 
8 411 6 442 4 443 2 
9 496 8 497 7 498 6 




20 


6601 


454 


1277 


171 


6540 


553 


662 0242 


3 921 


40 










30 


7055 


454 


1107 


170 


7093 


553 


.661 6322 


3 920 


30 










40 
50 


7509 
7963 


454 
454 


0936 
0766 


171 
170 


7646 
8200 


553 
554 


.661 2404 
.660 8486 


3918 
3918 


20 
10 






Cotangent 








453 




171 




553 




3 917 








3950 3940 


36 



10 


0.361 8416 
8870 


454 


0.936 0596 
0425 


170 


375 8763 
9306 


553 


2.660 4569 
660 0653 


3916 



50 


24 } 


1 


395 394 
790 788 




20 
30 
40 
50 


9324 
9778 
352 0232 
0685 


454 
454 
454 
453 


0254 
0084 
0.935 9913 
9742 


171 
170 
171 
171 


9860 
376 0413 
0966 
1520 


554 
553 
553 
554 


.659 6738 
659 2824 
.658 8912 
.658 5000 


3 915 
3914 
3912 
3912 


40 
30 
20 
10 




3 
4 



7 


1185 1182 
580 1576 
<)75 1970 
2570 236 J 
2765 2758 








454 




171 




553 




3 911 






8 


3160 3152 


37 





362 1139 




0.936 9571 




376 2073 




2 668 1089 







23 


9 


3555 3546 




10 
20 
30 
40 


1593 
2047 
2500 
2954 


454 
454 
453 
454 


9401 
9230 
9059 
8888 


170 
171 
171 
171 


2627 
3180 
3733 
4287 


554 
553 
553 
554 


.657 7179 
.657 3270 
.656 9363 
.656 5456 


3910 
3909 
3907 
3907 


50 
40 
30 
20 




1 

3 


3920 3910 

392 391 
784 782 
117b 1173 




50 


3408 


454 


8718 


170 


4841 


554 


.656 1550 


3 906 


10 




4 


1568 1564 








454 




171 




553 




3905 






rj 


1960 1955 


38 



10 
20 


0.352 3862 
4315 
4769 


453 
454 


0.935 8647 
8376 
8205 


171 
171 


376 6394 
5948 
6501 


554 
553 


2.655 7645 
655 3742 
.654 9839 


3903 
3903 



50 
40 


22 


6 

7 
8 
9 


2352 2316 
2744 2737 
3136 3128 
3528 3519 




30 


5223 


454 


8034 


171 


7055 


554 


.654 5937 


3 902 


30 










40 


5676 


453 


7863 


171 


7608 


553 


.654 2036 


3 901 


20 






3900 3890 




50 


6130 


454 

454 


7692 


171 
171 


8162 


554 
554 


.653 8137 


3 899 
3899 


10 




1 

2 


390 38Q 
780 778 


39 



10 
20 


0.352 6584 
7037 
7491 


453 
454 


0.936 7521 
7350 
7179 


171 
171 


0.376 8716 
9269 
9823 


553 
554 


2.653 4238 
.653 0340 
.6526444 


3898 
3896 



50 
40 


21 


3 
4 
5 
6 


1170 1167 
1560 1556 
1950 1945 
2340 2334 




30 
40 
50 


7945 
8398 
8852 


454 
453 
454 


7008 
6837 
6666 


171 
171 
171 


0.377 0377 
0931 
1484 


554 
554 
553 


.652 2548 
.651 8653 
.651 4759 


3 896 
3895 
3894 


30 
20 
10 




7 
8 
9 


2730 2723 
3120 3112 
3510 3501 








454 




171 




554 




3 892 










40 





0.362 9306 




0.936 6495 




0.377 2038 




2.661 0867 







20 










Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



69 20' 



SINES, COSINES, TANGENTS AND COTANGENTS 
20 40' 



125 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff. 






Pio >ortumal Parts 


40 



10 
20 


0.362 9306 
9759 
0.353 0213 


453 
454 


0.935 6495 
6324 
6153 


171 
171 


0.377 2038 
2592 
3146 


554 
554 


2.651 0867 
.650 6975 
.650 3084 


3892 
3891 



50 
40 


20 


Sine 




30 
40 
50 


0666 
1120 
1574 


453 
454 
454 


5982 
5811 
5639 


171 
171 
172 


3700 
4253 
4807 


554 
553 
554 


.649 9195 
649 5306 
649 1418 


3 889 
3889 
3888 


30 
20 
10 




1 


453 454 

45 3 V> 4 
90 6 90 8 








453 




171 




554 




3 887 






3 


135 9 136 2 


41 



10 
20 
30 


0.363 2027 
2481 
2934 
3388 


454 
453 
454 


0.935 5468 
5297 
5126 
4954 


171 
171 
172 


0.377 5361 
5915 
6469 
7023 


554 
554 
554 


2.648 7531 
.648 3646 
.647 9761 
647 5877 


3885 
3885 
3884 



50 
40 
30 


19 


4 

r> 

6 

8 


181 2 181 6 
226 5 227 
271 8 272 4 
317 1 317 8 
362 4 363 2 




40 


3841 


453 


4783 


171 


7577 


554 


647 1995 


3882 


20 




9 


407 7 408 6 




50 


4295 


454 


4612 


171 


8131 


554 


.6468113 


3 882 


10 












453 




172 




554 




3 881 








42 



10 


353 4748 
5202 


454 


0.935 4440 
4269 


171 


0.377 8685 
9239 


554 


2.646 4232 
646 0352 


3880 



50 


18 


Cosine 




20 


5655 


453 


4098 


171 


9793 


554 


6456474 


3 878 


40 




171 172 173 




30 


6109 


454 


3926 


172 


378 0347 


554 


.645 2596 


3 878 


30 




1 1 17 1 17 2 17 3 




40 
50 


6562 
7016 


453 
454 
453 


3755 
3583 


171 
172 
171 


0901 
1456 


554 
555 
554 


.644 8719 
.6444843 


3 877 
3876 
3874 


20 
10 




2 34 2 34 4 34 6 
3 51 3 51 6 51 9 
4 68 1 68 8 69 '2 


43 



10 
20 


0.363 7469 
7923 
8376 


454 
453 


0.935 3412 
3240 
3069 


172 
171 


378 2010 
2564 
3118 


554 
554 


2.644 0969 
.643 7095 
643 3222 


3874 
3873 



50 
40 


17 


5 85 5 86 86 5 
6 102 6 103 2 103 8 
7 119 7 120 4 121 1 
8 136 8 137 6 138 4 




30 


8830 


454 


2897 


172 


3672 


554 


.642 9350 


3872 


30 




9 15, 9 154 8 155 7 




40 


9283 


453 


2726 


171 


4227 


555 


642 5479 


3 871 


20 








50 


9737 


454 


2554 


172 


4781 


554 


.642 1610 


3 869 


10 












453 




172 




554 




3869 








44 



10 


0.354 0190 
0643 


453 


935 2382 
2211 


171 


0.378 6336 
5889 


554 


2.641 7741 
.641 3873 


3868 



50 


16 


Tangent 

553 554 555 




20 


1097 


454 


2039 


172 


6444 


555 


.6410006 


3 867 


40 




1 55 3 55 4 55 5 




30 
40 


1550 
2004 


453 
454 


1867 
1696 


172 
171 


6998 

7552 


554 
554 


.640 6140 
.640 2276 


3 866 
3864 

act 


30 
20 




2 110 6 110 8 111 () 
3 Ilj5 9 166 2 166 5 
4 221 2 221 6 222 




50 


2457 


453 


1524 


172 


8107 


555 


.639 8412 


3 Bb4 


10 




5 27 5 277 277 5 








453 




172 




554 




3 863 






331 8 332 4 333 


45 



10 
20 


0.354 2910 
3364 
3817 


454 
453 


0.935 1352 
1180 
1009 


172 
171 


0.378 8661 
9216 
9770 


555 
554 


2.639 4549 
.639 0687 
.638 6826 


3862 
3861 



50 
40 


16 


7 387 1 387 8 388 5 
8 442 4 443 2 444 
9 497 7 498 G 499 5 




30 


4270 


453 


0837 


172 


0.379 0324 


554 


.638 2966 


3860 


30 








40 


4724 


454 


0665 


172 


0879 


555 


637 9107 


3 859 

A (ICO 


20 








50 


5177 


453 
453 


0493 


172 
172 


1433 


554 
555 


.637 5249 


6 oOo 

3857 


10 




Cotangent 


46 





0.364 5630 




936 0321 




379 1988 




2.637 1392 







14 


3890 3880 




10 
20 
30 


6084 
6537 
6990 


454 
453 
453 


0149 
934 9977 
9805 


172 
172 
172 


2542 
3097 
3652 


554 
555 
555 


.636 7536 
.636 3681 
.635 9827 


3 856 
3855 
3854 


50 
40 
30 




1 

3 

1 


389 388 
778 776 
1167 1164 
1556 1552 




40 


7444 


454 


9633 


172 


4206 


554 


.635 5974 


3 853 


20 




5 


l'H5 1940 




50 


7897 


453 
453 


9461 


172 
172 


4761 


555 
554 


.635 2122 


3852 
3851 


10 




7 


2*34 2328 
2723 2716 


47 



10 


0.354 8350 
8803 


453 


934 9289 
9117 


172 


0.379 6315 
5870 


555 


2.634 8271 
.634 4421 


3850 



50 


13 


8 
9 


3112 3104 
3501 3492 




20 


9257 


454 


8945 


172 


6425 


555 


.634 0572 


3849 


40 




3870 3860 




30 


9710 


453 


8773 


172 


6979 


554 


.633 6724 


3848 


30 




1 


387 386 




40 
50 


355 0163 
0616 


453 
453 
454 


8601 
8429 


172 
172 
172 


7534 
8089 


555 
555 
555 


.633 2877 
632 9031 


3847 
3846 
3845 


20 
10 




4 


774 772 
1161 1158 
1518 1544 


48 



10 


365 1070 
1523 


453 


0.934 8257 
8085 


172 


0.379 8644 
9198 


554 


2.632 6186 
.632 1342 


3844 



50 


12 


6 


1935 1930 
2322 2316 
2709 2702 




20 
30 


1976 
2429 


453 
453 


7912 
7740 


173 
172 


9753 
0.380 0308 


555 
555 


.631 7498 
.631 3656 


3 844 
3842 


40 
30 




8 
9 


3096 3088 
3483 3474 




40 
50 


2882 
3336 


453 
454 
453 


7568 
7396 


172 
172 
173 


0863 
1418 


555 
555 
555 


.630 9815 
.630 5975 


3 841 
3840 
3839 


20 
10 




1 

2 


3850 3830 

385 383 
770 766 


49 





0.366 3789 




0.934 7223 




0.380 1973 




2.630 2136 







11 


3 


1155 1149 




10 


4242 


453 


7051 


172 


2528 


555 


.629 8297 


3 839 


50 




4 


1540 1532 




20 
30 
40 


4695 
5148 
5601 


453 
453 
453 


6879 
6706 
6534 


172 
173 
172 


3082 
3637 
4192 


554 
555 
555 


.629 4460 
.629 0624 
.628 6788 


3 837 
3836 
3836 


40 
30 
20 




5 
6 

7 
8 


1925 1915 
2310 2298 
2695 2681 
3080 3064 




50 


6054 


453 


6362 


172 


4747 


555 


.628 2954 


3 834 


10 




9 3465 3447 








454 




173 




555 




3 833 








60 





0.365 6508 




0.934 6189 




0.380 5302 




2.627 9121 







10 








Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



69 10' 



126 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
20 60' 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff. 






Proportional Parts 


50 





0.355 6508 




0.934 6189 




0.380 5302 




2.627 9121 







10 






10 
20 


6961 
7414 


453 
453 


6017 
5844 


172 
173 


5857 
6412 


555 
555 


.627 5288 
.627 1457 


3 833 
3831 


50 
40 




Sine 




30 


7867 


453 


5672 


172 


6968 


556 


.626 7626 


3831 


30 




452 453 




40 


8320 


453 


5499 


173 


7523 


555 


.626 3797 


3 829 


20 






45 2 45 3 




50 


8773 


453 


5327 


172 


8078 


555 


.625 9968 


3 829 


10 




2 


90 4 90 6 








453 




173 




555 




3827 






3 


135 6 135 9 


51 





0.355 9226 




0.934 6154 




0.380 8633 




2.626 6141 







9 


4 


180 8 181 2 




10 
20 


9679 
0.356 0132 


453 
453 


4982 
4809 


172 
173 


9188 
9743 


555 
555 


.625 2314 
.624 8489 


3 827 
3825 


50 
40 




5 
6 

7 


226 226 5 
271 2 271 8 
316 4 317 1 




30 


0585 


453 


4637 


172 


381 0298 


555 


.624 4664 


3 825 


30 




8 


301 G 362 4 




40 


1038 


453 


4464 


173 


0854 


556 


.624 0840 


3824 


20 




9 


106 8 107 7 




50 


1491 


453 


4291 


173 


1409 


555 


.623 7018 


3822 


10 












453 




172 




555 




3822 








62 



10 


0.356 1944 
2397 


453 


0.934 4119 
3946 


173 


381 1964 
2519 


555 


2.623 3196 
.622 9375 


3821 



50 


8 


Cosine 




20 


2850 


453 


3773 


173 


3075 


556 


.622 5556 


3819 


40 




172 173 174 




30 


3303 


453 


3600 


173 


3630 


555 


622 1737 


3819 


30 




1 17 2 17 3 17 4 




40 


3756 


453 


3428 


172 


4185 


555 


.621 7919 


3818 


20 




2 31 4 34 6 31 8 




50 


4209 


453 
453 


3255 


173 
173 


4741 


556 
555 


621 4102 


3817 
3816 


10 




3 51 6 51 9 52 2 
\ h8 8 69 '2 69 6 


63 



10 


356 4662 
5115 


453 


0.934 3082 
2909 


173 


0.381 5296 
5851 


555 


2 621 0286 
620 6471 


3815 



50 


7 


5 Rfi 86 5 87 
b 103 2 103 8 104 2 
7 12) 4 121 1 121 8 




20 
30 


5568 
6021 


453 
453 


2736 
2563 


173 
173 


6407 
6962 


556 
555 


.620 2657 
.619 8844 


3814 
3813 


40 
30 




8 137 6 138 4 139 2 
9 154 8 155 7 156 6 




40 


6474 


453 


2391 


172 


7518 


556 


.619 5032 


3812 


20 








50 


6927 


453 


2218 


173 


8073 


555 


.619 1221 


3 811 


10 












453 




173 




556 




3 810 








54 





0.356 7380 




0.934 2045 




0.381 8629 




2 618 7411 







6 


Tangent 




10 


7833 


453 


1872 


173 


9184 


555 


.618 3602 


3809 


50 




555 556 557 




20 


8286 


453 


1699 


173 


9740 


556 


.617 9794 


3808 


40 




1 :.:> I 55 6 55 7 




30 
40 


8739 
9192 


453 
453 


1526 
1353 


173 
173 


0.382 0295 
0851 


555 
556 


617 5987 
617 2181 


3807 
3806 


30 
20 




2 111 111 2 111 4 

3 l()f) T 106 8 107 1 
4 222 222 4 222 8 




50 


9644 


452 


1180 


173 


1406 


555 


.616 8376 


3805 


10 




5 277 > 278 278 5 








453 




173 




556 




3805 






6 .U'5 333 6 334 2 


65 





0.367 0097 




0.934 1007 




0.382 1962 




2.616 4571 







5 


7 388 5 389 2 389 9 




10 
20 


0550 
1003 


453 
453 


0834 
0660 


173 
174 


2518 
3073 


556 
555 


.616 0768 
.615 6966 


3803 
3802 


50 
40 




8 141 444 8 415 6 
9 499 5 500 4 501 3 




30 


1456 


453 


0487 


173 


3629 


556 


.615 3164 


3802 


30 








40 


1909 


453 


0314 


173 


4185 


556 


.614 9364 


3800 


20 








50 


2362 


453 
452 


0141 


173 
173 


4741 


556 
555 


.614 5565 


3799 
3799 


10 




Cotangent 


56 





0.367 2814 




0.933 9968 




0.382 5296 




2.614 1766 







4 


3830 3810 




10 
20 
30 


3267 
3720 
4173 


453 
453 
453 


9795 
9621 
9448 


173 
174 
173 


5852 
6408 
6964 


556 
556 
556 


.613 7969 
.613 4172 
.613 0376 


3797 
3797 
3796 


50 
40 
30 




1 

3 
4 


383 381 
766 762 
1119 1113 
1532 1521 




40 


4626 


453 


9275 


173 


7519 


555 


.612 6582 


3794 


20 




5 


1915 1905 




50 


5078 


452 
453 


9101 


174 
173 


8075 


556 
556 


.612 2788 


3794 
3793 


10 




7 


2298 2286 
2681 2667 


57 



10 


357 5531 
5984 


453 


0.933 8928 
8755 


173 


0.382 8631 
9187 


556 


2 611 8995 
.611 5204 


3791 



50 


3 


8 
9 


M64 3048 
3447 3429 




20 


6437 


453 


8581 


174 


9743 


556 


.611 1413 


3791 


40 




3800 3790 




30 


6889 


452 


8408 


173 


383 0299 


556 


.610 7623 


3790 


30 




1 


m o 379 o 




40 
50 


7342 
7795 


453 
453 
453 


8234 
8061 


174 
173 
173 


0855 
1411 


556 
556 
556 


.610 3834 
.610 0046 


3789 
3788 
3787 


20 
10 




2 
3 
4 


760 758 
1110 1137 
1520 1516 


58 



10 


0.367 8248 
8700 


452 


0.933 7888 
7714 


174 


0.383 1967 
2523 


556 


2.609 6259 
.609 2473 


3786 



50 


2 


5 
G 

7 


1900 1895 
2280 2271 
2660 2653 




20 
30 


9153 
9606 


453 
453 


7541 
7367 


173 
174 


3079 
3635 


556 
556 


.608 8688 
.608 4904 


3 785 
3784 


40 
30 




8 
9 


W40 3032 
3420 3411 




40 
50 


0.358 0058 
0511 


452 
453 
453 


7193 
7020 


174 
173 
174 


4191 
4747 


556 
556 
556 


.608 1121 
.607 7339 


3 783 
3782 
3781 


20 
10 




1 


3780 3770 

378 377 


69 





0.358 0964 




0.933 6846 




0.383 5303 




2.607 3558 







1 


3 


756 754 
1131 1131 




10 


1416 


452 


6673 


173 


5859 


556 


.606 9778 


3 780 


50 




4 1512 1508 




20 
30 
40 


1869 
2322 
2774 


453 
453 
452 


6499 
6325 
6152 


174 
174 
173 


6416 
6972 
7528 


557 
556 
556 


.606 5998 
.606 2220 
.605 8443 


3 780 
3778 
3777 


40 
30 
20 




5 
6 
7 

8 


1890 1885 
2268 2262 
J646 2639 
3024 3016 




50 


3227 


453 


5978 


174 


8084 


556 


.605 4666 


3 777 


10 




9 


3402 3393 








452 




174 




556 




3775 








60 





0.358 3679 




0.933 5804 




0.383 8640 




2.605 0891 
















Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



69 (X 



SINES, COSINES, TANGENTS AND COTANGENTS 
21 0' 



127 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff. 


Cotangent 


Diff 






Proportional Parts 








0.368 3679 




0.933 5804 




0.383 8640 




2.606 0891 







60 






10 
20 


4132 

4585 


453 
453 


5631 

5457 


173 
174 


9197 
9753 


557 
556 


.604 7116 
.604 3343 


3775 
3773 


50 
40 




Sine 




30 


5037 


452 


5283 


174 


0.384 0309 


556 


.603 9570 


3 773 


30 




452 453 




40 


5490 


453 


5109 


174 


0866 


557 


.603 5798 


3772 


20 




1 


45 2 45 2 




50 


5942 


452 
453 


4935 


174 
174 


1422 


556 
556 


.603 2028 


3770 
3770 


10 




2 
3 


90 4 90 6 
135 6 13 r > 9 


1 



10 


0.358 6395 
6848 


453 


0.933 4761 
4588 


173 


0.384 1978 
2535 


557 


2.602 8268 
.602 4489 


3769 



50 


69 


4 
5 
6 


180 8 181 2 
226 226 5 
271 2 271 8 




20 


7300 


452 


4414 


174 


3091 


556 


.602 0721 


3 768 


40 




7 


316 4 317 1 




30 
40 


7753 
8205 


453 
452 


4240 
4066 


174 
174 


3647 
4204 


556 
557 


.601 6954 
.601 3188 


3767 
3766 


30 
20 




8 
9 


361 6 362 \ 
406 8 107 7 




50 


8658 


453 


3892 


174 


4760 


556 


.600 9423 


3765 


10 












452 




174 




557 




3764 








2 



10 


0.358 9110 
9563 


453 


0.933 3718 
3544 


174 


0.384 6317 
5873 


556 


2 600 6659 
.600 1896 


3763 



50 


58 


Cosine 




20 


0.359 0015 


452 


3370 


174 


6430 


557 


.599 8134 


3762 


40 




173 174 175 




30 
40 


0468 
0920 


453 
452 


3196 
3022 


174 
174 


6986 
7543 


556 
557 


.599 4373 
.599 0613 


3 761 
3760 


30 
20 




1 17 3 17 4 17 5 

2 34 34 8 35 
3 51 9 52 2 52 5 




50 


1373 


453 


2847 


175 


8100 


557 


.598 6853 


3 760 


10 




4 (92 09 6 70 








452 




174 




556 




3758 






5 81 5 87 87 5 


3 





0.359 1825 




0.933 2673 




0.384 8656 




2.598 3095 







67 


6 103 8 10* 4 105 




10 
20 
30 


2278 
2730 
3183 


453 
452 
453 


2499 
2325 
2151 


174 
174 
174 


9213 
9770 
385 0326 


557 
557 
556 


.597 9337 
.597 5581 
.597 1825 


3 758 
3756 
3756 


50 
40 
30 




7 121 1 121 8 122 5 
8 H8 4 139 2 140 
9 155 7 156 6 157 5 




40 


3635 


452 


1977 


174 


0883 


557 


.596 8071 


3 754 


20 








50 


4087 


452 


1802 


175 


1440 


557 


.596 4317 


3 754 


10 












453 




174 




556 




3 753 






Tangent 


4 



10 
20 
30 


0.369 4540 
4992 
5445 
5897 


452 
453 
452 


0.933 1628 
1454 
1280 
1105 


174 
174 
175 


0.385 1996 
2553 
3110 
3667 


557 
557 
557 


2.596 0664 
.595 6813 
.595 3062 
.594 9312 


3751 
3751 
3750 



50 
40 
30 


56 


556 557 558 

1 n 55 7 55 8 
2 111 15 111 4 HI 6 
3 U)6 8 187 1 167 4 




40 


6349 


452 


0931 


174 


4224 


557 


.594 5563 


3 749 


20 




4 222 4 222 8 223 2 




50 


6802 


453 
452 


0757 


174 
175 


4780 


556 
557 


.594 1815 


3 748 
3747 


10 




5 278 278 5 279 
r.3 6 334 2 334 8 


6 



10 


0.369 7254 
7706 


452 


0.933 0582 
0408 


174 


0.386 6337 

5894 


557 


2.593 8068 
.593 4322 


3746 



50 


66 


7 ,W) 2 389 9 390 6 
8 m 8 445 6 446 4 
9 500 4 501 3 502 2 




20 


8159 


453 


0233 


175 


6451 


557 


.593 0577 


3 745 


40 








30 


8611 


452 


0059 


174 


7008 


557 


.592 6833 


3744 


30 








40 
50 


9063 
9516 


452 

453 


0.932 9884 
9710 


175 
174 


7565 
8122 


557 
557 


.592 3089 
.591 9347 


3 744 
3742 


20 
10 




Cotangent 








452 




175 




557 




3 741 






S770 2760 


6 



10 


0.369 9968 
0.360 0420 


452 


0.932 9636 
9361 


174 


0.385 8679 
9236 


557 


2.591 5606 
.591 1865 


3741 




50 


64 


1 


377 376 

754 752 




20 
30 
40 
50 


0873 
1325 
1777 
2230 


453 
452 
452 
453 


9186 
9012 
8837 
8662 


175 
174 
175 
175 


9793 
0.386 0350 
0907 
1464 


557 
557 
557 
557 


.590 8126 
.590 4387 
.590 0650 
.589 6913 


3 739 
3739 
3737 
3737 


40 
30 
20 
10 




3 

1 

5 
6 
7 


1131 1128 
150S 1504 
188") 1880 
2262 2256 
2019 2632 








452 




174 




557 




3 736 






8 


.',016 300S 


7 





0.360 2682 




0.932 8488 




0.386 2021 




2.589 3177 







53 


9 


3393 3384 




10 
20 


3134 
3586 


452 
452 


8313 
8138 


175 
175 


2578 
3136 


557 
558 


.588 9442 
.588 5708 


3 735 
3734 


50 
40 




3750 3740 




30 
40 


4039 
4491 


453 
452 


7964 
7789 


174 
175 


3693 
4250 


557 
557 


.588 1976 
.587 8244 


3 732 
3732 


30 
20 




1 

3 


375 () 374 
750 748 () 
1125 1122 




50 


4943 


452 


7614 


175 


4807 


557 


.587 4512 


3 732 


10 




4 


1500 1496 








452 




175 




557 




3 730 






5 


1875 1870 


8 



10 
20 


0.360 5395 
5847 
6300 


452 
453 


0.932 7439 
7265 
7090 


174 
175 


0.386 5364 
5922 
6479 


558 
557 


2.587 0782 
.586 7053 
.586 3325 


3729 
3728 



50 
40 


62 


7 
8 
9 


2250 2244 
2625 2618 
-JOOO 2992 
3375 3366 




30 


6752 


452 


6915 


175 


7036 


557 


.585 9598 


3 727 


30 








40 


7204 


452 


6740 


175 


7594 


558 


.585 5871 


3 727 


20 




3730 3720 




50 


7656 


452 


6565 


175 


8151 


557 


.585 2146 


3 725 


10 




1 


373 372 








452 




175 




557 




3 725 






2 


746 744 


9 



10 
20 
30 
40 
50 


0.360 8108 
8560 
9013 
9465 
9917 
361 0369 


] 
452 
453 
452 
452 
452 
452 


0.932 6390 
6215 
6040 
5865 
5690 
5515 


175 
175 
175 
175 
175 
175 


0.386 8708 
9266 
9823 
0.387 0380 
0938 
1495 


558 
557 
557 
558 
557 
558 


2.584 8421 
.584 4698 
.584 0975 
.583 7253 
.583 3532 
.582 9813 


3723 
3723 
3722 
3721 
3719 
3719 



50 
40 
30 
20 
10 


61 


3 
4 
5 
6 
7 
8 
9 


1119 1116 
1492 1488 
1865 1860 
2238 2232 
2611 2604 
2984 2976 
3357 3348 


10 





0.361 0821 




0.932 5340 




0.387 2063 




2.582 6094 







60 








Conine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



68 50' 



128 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
21 10' 



' 


" 


Sine 


DifT 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff. 






Proportional Parts 


10 



10 


0.361 0821 
1273 


452 


0.932 6340 
5165 


175 


0.387 2053 
2610 


557 


2.6826094 
.582 2376 


3718 



50 


50 




Sine 




20 
30 
40 


1725 
2177 
2629 


452 
452 
452 


4990 
4815 
4640 


175 
175 
175 


3168 
3725 
4283 


558 
557 
558 


.581 8659 
.581 4943 
.581 1227 


3 717 
3716 
3716 


40 
30 
20 




451 452 453 

1 45 1 45 2 45 3 

2 90 2 90 4 90 6 




50 


3081 


452 


4465 


175 


4841 


558 


.580 7513 


3 714 


10 




3 135 3 135 6 135 9 








453 




175 




557 




3713 






4 18 


04 180 8 181 2 


11 



10 
20 


0.361 3634 
3986 
4438 


452 
452 


0.932 4290 
4114 
3939 


176 
175 


0.387 5398 
5956 
6514 


558 
558 


2.680 3800 
580 0087 
579 6376 


3713 
3711 



50 
40 


49 


5 225 5 226 226 5 
6 270 6 271 2 271 8 
7 315 7 316 4 317 1 
8 360 8 361 6 362 4 




30 


4890 


452 


3764 


175 


7071 


557 


.579 2665 


3 711 


30 




9 405 9 406 8 407 7 




40 


5342 


452 


3589 


175 


7629 


558 


.578 8956 


3 709 


20 










50 


5794 


452 


3413 


176 


8187 


558 


.578 5247 


3709 


10 














452 




175 




557 




3 708 










12 





361 6246 




0.932 3238 




0.387 8744 




2 678 1639 







48 




Cosine 




10 


6698 


452 


3063 


175 


9302 


558 


577 7832 


3 707 


50 




175 176 177 




20 


7150 


452 


2887 


176 


9860 


558 


577 4126 


3 706 


40 




1 17 5 17 6 17 7 




30 


7602 


452 


2712 


175 


388 0418 


558 


577 0421 


3 705 


30 




2 3 


r > 35 2 35 4 




40 
50 


8054 
8506 


452 
452 
452 


2537 
2361 


175 
176 
175 


0976 
1533 


558 
557 
558 


576 6717 
.576 3014 


3 704 
3703 
3702 


20 
10 




3 52 5 52 8 53 1 
4 70 70 4 70 8 
5 87 5 88 88 5 


13 





361 8958 




0.932 2186 




0.388 2091 




2 675 9312 







47 


6 10.3 105 6 106 2 
7 122 5 123 2 123 9 




10 


9410 


452 


2010 


176 


2649 


558 


.5755611 


3 701 


50 




8 140 140 8 141 6 




20 


9861 


451 


1835 


175 


3207 


558 


575 1910 


3 701 


40 




9 15 


75 158 4 159 3 




30 


362 0313 


452 


1659 


176 


3765 


558 


.5748211 


3699 


30 










40 


0765 


452 


1484 


175 


4323 


558 


.5744512 


3 699 


20 










50 


1217 


452 
452 


1308 


176 
175 


4881 


558 
558 


.574 0815 


3 697 
3697 


10 






Tangent 


14 





362 1669 




0.932 1133 




0.388 5439 




2 673 7118 







46 


557 558 559 




10 


2121 


452 


0957 


176 


5997 


558 


.573 3422 


3 696 


50 




1 55 7 55 8 55 9 




20 
30 
40 


2573 
3025 
3477 


452 
452 
452 
452 


0781 
0606 
0430 


176 
175 
176 
176 


6555 
7113 
7671 


558 
558 
558 
558 


.572 9727 
.572 6034 
.572 2341 


3695 
3693 
3693 
3 693 


40 
30 
20 




2 111 4 111 6 111 8 

3 167 1 167 4 167 7 
4 222 8 223 2 223 6 
5 278 5 279 fl 279 5 




50 


3929 




0254 




8229 




.571 8648 




10 




6 33 


4 2 334 8 335 4 








451 




175 




558 




3691 






7 38 


9 9 390 6 391 3 


16 



10 


0.362 4380 
4832 


452 


0.932 0079 
0.931 9903 


176 


0.388 8787 
9345 


558 


2.571 4957 
.571 1267 


3690 



50 


45 


8 445 6 446 4 417 2 
9 501 3 502 2 503 1 




20 


5284 


452 


9727 


176 


9904 


559 


.570 7578 


3689 


40 










30 


5736 


452 


9551 


176 


389 0462 


558 


.570 3889 


3689 


30 










40 
50 


6188 
6640 


452 
452 
451 


9376 
9200 


175 
176 
176 


1020 
1578 


558 
558 
558 


.570 0202 
.569 6515 


3 687 
3687 
3685 


20 
10 






Cotangent 

3720 3710 


16 



10 
20 


0.362 7091 
7543 
7995 


452 
452 


0.931 9024 
8848 
8672 


176 
176 


0.389 2136 
2695 
3253 


559 
558 


2.569 2830 
.568 9145 
.568 5461 


3685 
3684 



50 
40 


44 


\ 1 

2 
3 
4 


372 371 
744 742 
1116 1113 

1488 1484 




30 


8447 


452 


8496 


176 


3811 


558 


.568 1778 


3683 


30 




5 


ishl 1855 




40 
50 


8898 
9350 


451 
452 
452 


8320 
8145 


176 
175 
176 


4370 
4928 


559 
558 
558 


.567 8096 
.567 4415 


3682 
3681 
3680 


20 
10 




6 
7 
8 
9 


UlMJ 2226 
2601 2597 
2976 2968 
3348 3339 


17 





0.362 9802 




0.931 7969 




0.389 5486 




2.567 0736 







43 








10 


0.363 0254 


452 


7793 


176 


6045 


559 


.566 7056 


3 679 


50 






3700 3690 




20 


0705 


451 


7617 


176 


6603 


558 


.566 3378 


3 678 


40 




1 


370 369 




30 
40 
50 


1157 
1609 
2061 


452 
452 
452 
451 


7441 
7264 
7088 


176 
177 
176 
176 


7162 
7720 
8279 


559 
558 
559 
558 


.565 9700 
.565 6024 
.565 2348 


3678 
3676 
3676 
3674 


30 
20 
10 




3 
4 
5 


740 738 
1110 1107 
1480 1176 
1850 1845 


























5 


2220 2214 


18 





0.363 2612 




0.931 6912 




0.389 8837 




2.664 8674 







42 


7 


2590 2583 




10 
20 


2964 
3416 


452 
452 


6736 
6560 


176 
176 


9396 
9954 


559 
558 


.564 5000 
.564 1327 


3674 
3673 


50 
40 




8 
9 


2900 2952 
3330 3321 




30 
40 
50 


3867 
4319 
4771 


451 
452 
452 


6384 
6208 
6031 


176 
176 
177 


390 0513 
1071 
1630 


559 
558 
559 


.563 7655 
.563 3984 
.563 0314 


3 672 
3671 
3679 


30 
20 
10 




1 

2 


3680 3670 

368 367 
736 734 








451 




176 




559 




3 669 






3 


1104 1101 


19 





0.363 6222 




0.931 6865 




0.390 2189 




2.662 6645 







41 


4 


1472 1168 




10 
20 
30 


5674 
6126 
6577 


452 
452 
451 


5679 
5503 
5326 


176 
176 
177 


2747 
3306 
3865 


558 
559 
559 


.562 2977 
.561 9309 
.561 5643 


3668 
3668 
3666 


50 
40 
30 




5 
6 

7 
8 


1810 1835 
2208 2202 
2576 2569 
2944 2936 




40 


7029 


452 


5150 


176 


4423 


558 


.561 1977 


3666 


20 




9 


3312 3303 




50 


7480 


451 


4974 


176 


4982 


559 


.560 8313 


3664 


10 














452 




177 




559 




3664 










20 





0.363 7932 




0.931 4797 




0.390 6641 




2.6604649 







40 










Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff. 


Tangent 


Diff. 


" 


' 


Proportional Parts 



68 40' 



SINES, COSINES, TANGENTS AND COTANGENTS 
21 20' 



129 



' 


" 


Sine 


Diff. 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff. 






Proportional Parts 


20 





0.363 7932 




0.931 4797 




0.390 6541 




2.560 4649 







40 






10 


8384 


452 


4621 


176 


6099 


558 


.560 0986 


3663 


50 








20 


8835 


451 


4445 


176 


6658 


559 


.559 7325 


3661 


40 




Sine 




30 
40 
50 


9287 
9738 
0.364 0190 


452 
451 
452 


4268 
4092 
3915 


177 
176 
177 


7217 
7776 
8335 


559 
559 
559 


.559 3664 
.559 0003 
.558 6344 


3661 
3661 
3659 


30 
20 
10 




2 


451 452 

45 1 45 2 
90 2 90 4 








451 




176 




559 




3658 






3 


135 3 135 6 


21 





03640641 




0.931 3739 




0.390 8894 




2.668 2686 







39 


4 


180 4 180 8 




10 


1093 


452 


3562 


177 


9453 


559 


.557 9029 


3 657 


50 




5 


225 5 226 




20 
30 


1545 
1996 


452 
451 


3386 
3209 


176 
177 


0.391 0012 
0570 


559 
558 


.557 3572 
.557 1717 


3 657 
3655 


40 
30 




6 

7 
8 


270 6 271 2 
315 7 316 4 
360 8 361 6 




40 


2448 


452 


3033 


176 


1129 


559 


.556 8062 


3655 


20 




9 


405 9 400 8 




50 


2899 


451 


2856 


177 


1688 


559 


.556 4408 


3654 


10 












452 




177 




559 




3652 








22 





0.364 3351 




0.931 2679 




0.391 2247 




2.656 0766 







38 






10 


3802 


451 


2503 


176 


2806 


559 


.555 7104 


3 652 


50 




Cosine 




20 


4254 


452 


2326 


177 


3365 


559 


.555 3453 


3651 


40 




176 177 178 




30 


4705 


451 


2149 


177 


3925 


560 


.554 9803 


3 650 


30 




1 17 h 17 7 17 8 




40 
50 


5156 
5608 


451 
452 
451 


1973 
1796 


176 
177 
177 


4484 
5043 


559 
559 
559 


.554 6153 
.554 2505 


3 650 
3648 
3647 


20 
10 




2 35 2 V> 4 35 6 
3 52 8 53 1 53 4 
4 70 4 70 8 71 2 


23 



10 


0.364 6059 
6511 


452 


0.931 1619 
1442 


177 


0.391 6602 
6161 


559 


2.553 8858 
.553 5211 


3647 



50 


37 


5 88 88 5 80 
105 (> 100 2 106 8 
7 12.' 2 123 9 124 6 




20 


6962 


451 


1266 


176 


6720 


559 


.553 1566 


3 645 


40 




8 140 8 141 6 142 4 




30 


7414 


452 


1089 


177 


7279 


559 


.552 7921 


3645 


30 




9 158 4 159 3 160 2 




40 


7865 


451 


0912 


177 


7839 


560 


.552 4277 


3 644 


20 








50 


8316 


451 


0735 


177 


8398 


559 


.552 0634 


3 643 


10 












452 




177 




559 




3 642 








24 





0.364 8768 




0.931 0558 




0.391 8967 




2.651 6992 







36 


Tangent 




10 


9219 


451 


0381 


177 


9516 


559 


.551 3351 


3641 


50 




558 559 560 




20 
30 
40 
50 


9671 
0.365 0122 
0573 
1025 


452 
451 
451 
452 
451 


0204 
0027 
0.930 9850 
9673 


177 
177 
177 
177 
177 


392 0076 
0635 
1194 
1754 


560 
559 
559 
560 
559 


.5509711 
.550 6072 
.550 2434 
.549 8796 


3 640 
3639 
3638 
3638 
3636 


40 
30 
20 
10 




1 5) 8 55 9 56 
2 111 6 111 8 112 
3 Ih7 4 167 7 168 
4 22,5 2 223 6 224 
5 270 279 5 280 
6 :m 8 335 4 336 


25 



10 
20 


0.365 1476 
1927 
2379 


451 
452 


0.930 9496 
9319 
9142 


177 
177 


0.392 2313 
2873 
3432 


560 
559 


2.549 5160 
.549 1524 
.548 7889 


3636 
3635 



50 
40 


36 


7 390 } 391 3 392 
8 116 4 417 2 448 
9 502 2 503 1 504 




30 


2830 


451 


8965 


177 


3991 


559 


.548 4255 


3 634 


30 








40 


3281 


451 


8788 


177 


4551 


560 


.548 0622 


3633 


20 








50 


3733 


452 
451 


8611 


177 
177 


5110 


559 
560 


.547 6990 


3632 
3631 


10 




Cotangent 


26 





0.365 4184 




0.930 8434 




0.392 6670 




2.647 3369 







34 


3660 3650 




10 
20 
30 


4635 
5086 
5538 


451 
451 
452 


8257 
8079 
7902 


177 
178 
177 


6229 
6789 
7349 


559 
560 
560 


.546 9729 
.546 6099 
.546 2471 


3630 
3630 
3628 


50 
40 
30 




1 

3 
4 


300 365 
732 730 
109S 1095 
lib! 14l>0 




40 


5989 


451 


7725 


177 


7908 


559 


545 8843 


3628 


20 




5 


830 1825 




50 


6440 


451 


7548 


177 


8468 


560 


.545 5217 


3626 


10 







21% 2190 








451 




178 




559 




3 626 








2">62 2555 


27 



10 


0.365 6891 
7343 


452 


0.930 7370 
7193 


177 


0.392 9027 
9587 


560 


2.545 1591 
.544 7966 


3625 



50 


33 


8 
9 


2')J8 1) 21.20 
3204 3285 




20 


7794 


451 


7016 


177 


0.393 0147 


560 


.544 4342 


3624 


40 




3640 3630 




30 


8245 


451 


6838 


178 


0707 


560 


.544 0719 


3 623 


30 




1 


36} 363 




40 
50 


8696 
9148 


451 
452 
451 


6661 
6484 


177 
177 
178 


1266 
1826 


559 
560 
560 


.543 7097 
.543 3475 


3 622 
3622 
3620 


20 
10 




3 
4 


728 726 
1092 1089 
1456 H52 


28 



10 


0.365 9599 
0.366 0050 


451 


0.930 6306 
6129 


177 


0.393 2386 
2946 


560 


2.642 9855 
.542 6235 


3620 



50 


32 


5 
6 


1820 1815 
218} 2178 
2518 2511 




20 
30 


0501 
0952 


451 
451 


5951 
5774 


178 
177 


3505 
4065 


559 
560 


.542 2617 
.541 8999 


3 618 
3618 


40 
30 




8 
9 


2912 2QOi 
3276 3267 




40 
50 


1403 
1855 


451 
452 
451 


5596 
5419 


178 
177 
178 


4625 
5185 


560 
560 
560 


.541 5382 
.541 1766 


3 617 
3616 
3615 


20 
10 




1 

2 


3620 3610 

362 361 
724 722 


29 





0.366 2306 




0.930 6241 




0.393 6745 




2.540 8151 







31 


3 


1086 1083 




10 


2757 


451 


5064 


177 


6305 


560 


.540 4537 


3 614 


50 




4 


1148 1144 




20 
30 
40 


3208 
3659 
4110 


451 
451 
451 


4886 
4709 
4531 


178 
177 
178 


6865 
7425 
7985 


560 
560 
560 


.540 0923 
.5397311 
.539 3699 


3 614 
3612 
3612 


40 
30 
20 




5 
6 

7 
8 


1810 1805 
2172 2166 
2534 2527 
2896 2888 




50 


4561 


451 


4353 


178 


8545 


560 


.539 0089 


3 610 


10 




9 


3258 3249 








451 




177 




560 




3 610 








30 





0.366 5012 




0.930 4176 




0.393 9106 




2.538 6479 







30 








Cosine 


Diff 


Sine 


Diff. 


Cotangent 


Diff 


Tangent 


Diff. 


" 


/ 


Proportional Parts 



68 30' 



130 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
21 30' 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 


30 





0.366 5012 




0.930 4176 




0.393 9105 




2.638 6479 







30 








10 


5463 


451 


3998 


178 


9665 


560 


.538 2870 


3 609 


50 










20 


5914 


451 


3820 


178 


0.394 0225 


560 


.537 9262 


3608 


40 






Sine 




30 


6365 


451 


3643 


177 


0785 


560 


.537 5655 


3607 


30 




450 451 452 




40 


6817 


452 


3465 


178 


1345 


560 


.537 2049 


3 606 


20 




1 45 45 1 45 2 




50 


7268 


451 
451 


3287 


178 
178 


1905 


560 
560 


.5368444 


3 605 
3605 


10 




2 90 90 2 90 4 
3 135 135 3 135 6 


31 



10 
20 


0.366 7719 
8170 
8621 


451 
451 


0.930 3109 
2931 
2754 


178 
177 


0.394 2465 
3026 
3586 


561 
560 


2.536 4839 
.536 1236 
.535 7633 


3603 
3603 



50 
40 


29 


4 180 180 4 180 8 
5 225 225 5 226 
6 270 270 6 271 2 
7 315 315 7 310 4 




30 
40 


9072 
9523 


451 
451 


2576 
2398 


178 
178 


4146 
4706 


560 
560 


.535 4031 
.535 0430 


3 602 
3601 


30 
20 




8 360 360 8 361 6 
9 105 405 9 406 8 




50 


9974 


451 


2220 


178 


5266 


560 


.534 6830 


3600 


10 














451 




178 




561 




3599 










32 



10 


0.367 0425 
0876 


451 


0.930 2042 
1864 


178 


0.394 5827 
6387 


560 


2.534 3231 
.533 9633 


3598 



50 


28 




Cosine 




20 


1327 


451 


1686 


178 


6947 


560 


.533 6036 


3 597 


40 




177 178 179 




30 


1777 


450 


1508 


178 


7508 


561 


.533 2439 


3 597 


30 




1 17 7 17 8 17 9 




40 
50 


2228 
2679 


451 
451 


1330 
1152 


178 
178 


8068 
8629 


560 
561 


.532 8844 
.532 5249 


3 595 
3595 


20 
10 




2 35 4 35 6 35 8 
3 53 1 53 4 53 7 
4 70 8 71 2 71 6 








451 




178 




560 




3594 










33 





0.367 3130 




0.930 0974 




0.394 9189 




2.532 1655 







27 


5 H8 5 89 89 5 
6 106 2 106 8 107 4 




10 


3581 


451 


0796 


178 


9749 


560 


.531 8062 


3 593 


50 




7 123 9 124 6 125 3 




20 
30 


4032 
4483 


451 
451 


0618 
0439 


178 
179 


0.395 0310 
0870 


561 
560 


531 4470 
531 0879 


3592 
3591 


40 
30 




8 141 6 112 4 143 2 
9 159 3 160 2 161 1 




40 


4934 


451 


0261 


178 


1431 


561 


.530 7289 


3 590 


20 










50 


5385 


451 


0083 


178 


1991 


560 


.530 3699 


3 590 


10 














451 




178 




561 




3 588 










34 



10 


0.367 6836 
6287 


451 


0.929 9905 
9727 


178 


0.395 2552 
3112 


560 


2.630 0111 
.529 6523 


3588 



50 


26 


Tangent 

560 561 562 




20 
30 
40 


6737 
7188 
7639 


450 
451 
451 


9548 
9370 
9192 


179 
178 
178 


3673 
4234 
4794 


561 
561 
560 


.529 2936 
.528 9350 
.528 5765 


3587 
3586 
3585 


40 
30 
20 




1 56 56 1 56 2 
2 112 112 2 112 4 
3 168 168 3 168 6 
4 224 224 4 224 8 




50 


8090 


451 


9014 


178 


5355 


561 


.528 2181 


3 584 


10 




5 280 280 5 281 








451 




179 




561 




3 583 






6 33 


6 336 6 337 2 


35 



10 
20 


0.367 8541 
8992 
9442 


451 
450 


0.929 8835 
8657 
8479 


178 
178 


0.396 5916 
6476 
7037 


560 
561 


2.627 8598 
.527 5016 
.527 1434 


3582 
3582 



50 
40 


25 


7 392 392 7 393 4 
8 148 148 8 449 6 
9 504 504 9 505 8 




30 


9893 


451 


8300 


179 


7598 


561 


.526 7853 


3581 


30 










40 


368 0344 


451 


8122 


178 


8159 


561 


.526 4274 


3 579 


20 










50 


0795 


451 


7943 


179 


8719 


560 


.526 0695 


3579 


10 






Cotangent 








451 




178 




561 




3578 










36 



10 


0.368 1246 
1696 


450 


0.929 7765 
7586 


179 


0.395 9280 
9841 


561 


2.525 7117 
.525 3540 


3577 



50 


24 


1 

2 


3610 3600 

361 360 
722 720 




20 


2147 


451 


7408 


178 


0.396 0402 


561 


.524 9964 


3 576 


40 




3 


1083 1080 




30 


2598 


451 


7229 


179 


0963 


561 


.524 6388 


3 576 


30 




4 


1144 1140 




40 
50 


3049 
3499 


451 
450 
451 


7051 
6872 


178 
179 
178 


1524 
2084 


561 
560 
561 


.524 2814 
.523 9240 


3 574 
3574 
3573 


20 
10 




5 

6 
7 

8 


1805 1800 
J166 2160 
2527 2520 
2888 2880 


37 





0.368 3950 




0.929 6694 




0.396 2645 




2.623 5667 







23 


9 


3249 3240 




10 


4401 


451 


6515 


179 


3206 


561 


.523 2096 


3571 


50 










20 


4851 


450 


6336 


179 


3767 


561 


.522 8525 


3 571 


40 






3590 3580 




30 
40 
50 


5302 
5753 
6203 


451 
451 
450 


6158 
5979 
5800 


178 
179 
179 


4328 
4889 
5450 


561 
561 
5S1 


.522 4954 
.522 1385 
521 7817 


3 571 
3569 
3568 


30 
20 
10 




1 
2 

3 
4 


3 r >9 358 
718 716 
1077 1074 
1436 1 132 








451 




178 




561 




3 568 






5 


1795 1790 


38 





0.368 6654 




0.929 5622 




0.396 6011 




2.521 4249 







22 


6 


2154 2148 




10 
20 
30 


7105 
7555 
8006 


451 
450 
451 


5443 
5264 
5085 


179 
179 
179 


6572 
7134 
7695 


561 
562 
561 


.521 0683 
.5207117 
520 3552 


3 566 
3566 
3565 


50 
40 
30 




7 
8 
9 


2513 2506 
2872 2864 
3231 3222 




40 


8457 


451 


4907 


178 


8256 


561 


.519 9988 


3564 


20 






3570 3560 




50 


8907 


450 


4728 


179 


8817 


561 


.519 6425 


3 563 


10 




1 


357 356 








451 




179 




561 




3 562 






2 


714 712 


39 



10 
20 
30 


0.368 9358 
9809 
0.369 0259 
0710 


451 
450 
451 


0.929 4649 
4370 
4191 
4012 


179 
179 
179 


0.396 9378 
9939 
0.397 0501 
1062 


561 
562 
561 


2.519 2863 
518 9301 
.518 5741 
518 2181 


3562 
3560 
3560 



50 
40 
30 


21 


3 
4 
5 
6 
7 


1071 1068 
1 128 1424 
1785 1780 
2142 2136 
2499 2492 




40 
50 


1160 
1611 


450 
451 


3833 
3654 


179 
179 


1623 
2184 


561 
561 


.517 8622 
5175064 


3 559 
3558 


20 
10 




8 
9 


2856 2848 
3213 3204 








450 




179 




562 




3 557 










40 





0.369 2061 




0.929 3476 




0.397 2746 




2.517 1507 







20 










Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



68 20' 



SINES, COSINES, TANGENTS AND COTANGENTS 
21 40' 



131 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 


40 





0.369 2061 




0.929 3476 




0.397 2746 




2.617 1607 







20 






10 


2512 


451 


3296 


179 


3307 


561 


.516 7951 


3556 


50 




Sine 




20 
30 
40 


2963 
3413 
3864 


451 
450 
451 


3117 
2938 
2759 


179 
179 
179 


3868 
4430 
4991 


561 
562 
561 


.516 4396 
.516 0841 
.515 7288 


3555 
3555 
3553 


40 
30 
20 




1 

2 


450 451 

45 45 1 
90 90 2 




50 


4314 


450 


2580 


179 


5553 


562 


.515 3735 


3553 


10 




3 


135 135 3 








451 




179 




561 




3552 






4 


180 180 4 


41 





0.369 4766 




0.929 2401 




0.397 6114 




2.615 0183 







19 


5 


225 225 5 




10 
20 
30 


5215 
5666 
6116 


450 
451 
450 


2222 
2043 
1863 


179 
179 
180 


6676 
7237 
7799 


562 
561 
562 


.514 6632 
.514 3082 
.513 9533 


3551 
3550 
3549 


50 
40 
30 




6 
7 
8 
9 


270 270 6 
315 315 7 
360 360 8 
405 405 9 




40 


6567 


451 


1684 


179 


8360 


561 


.513 5985 


3 548 


20 








50 


7017 


450 


1505 


179 


8922 


562 


.513 2437 


3548 


10 












451 




179 




561 




3 547 








42 





0.369 7468 




0.929 1326 




0.397 9483 




2.612 8890 







18 


Cosine 




10 
20 


7918 
8368 


450 
450 


1146 
0967 


180 
179 


0.398 0045 
0607 


562 
562 


.512 5345 
.512 1800 


3545 
3545 


50 
40 




179 180 181 

1 17 9 18 18 1 




30 


8819 


451 


0788 


179 


1168 


561 


511 8256 


3 544 


30 




2 35 8 36 36 2 




40 
50 


9269 
9720 


450 
451 
450 


0609 
0429 


179 
180 
179 


1730 
2292 


562 
562 
561 


.511 4712 
.511 1170 


3544 
3542 
3541 


20 
10 




3 53 7 54 64 3 
4 71 6 72 72 4 
5 89 5 90 90 5 


43 



10 


370 0170 
0621 


451 


0.929 0250 
0070 


180 


0.398 2853 
3415 


562 


2.510 7629 
.510 4088 


3541 



50 


17 


to 107 4 108 108 ft 
7 125 3 126 126 7 
8 Hi 2 144 144 8 




20 


1071 


450 


0.928 9891 


179 


3977 


562 


.510 0548 


3540 


40 




9 101 1 162 162 9 




30 


1521 


450 


9712 


179 


4539 


562 


.509 7009 


3 539 


30 








40 


1972 


451 


9532 


180 


5100 


561 


.509 3471 


3 538 


20 








50 


2422 


450 
450 


9353 


179 
180 


5662 


562 
562 


.508 9934 


3 537 
3536 


10 




Tangent 


44 





0.370 2872 




0.928 9173 




0.398 6224 




2.508 6398 







16 


561 562 563 




10 


3323 


451 


8994 


179 


6786 


562 


.508 2862 


3 536 


50 




1 :>() 1 56 2 56 3 




20 
30 
40 
50 


3773 
4223 
4674 
5124 


450 
450 
451 
450 


8814 
8634 
8455 
8275 


180 
180 
179 
180 


7348 
7910 
8472 
9033 


562 
562 
562 
561 


.507 9328 
507 5794 
.507 2261 
.506 8729 


3534 
3534 
3533 
3532 


40 
30 
20 
10 




2 112 2 112 4 112 6 

3 IliS 3 168 6 168 9 
4 224 4 224 8 225 2 
5 280 5 281 281 5 
6 3.36 ft 337 2 337 8 








450 




179 




562 




3531 






7 3<)2 7 393 4 394 1 


46 



10 


370 6574 
6025 


451 


0.928 8096 
7916 


180 


0.398 9596 
0.399 0157 


562 


2.506 6198 
.506 1668 


3530 




50 


15 


8 118 8 449 6 450 4 
9 501 9 505 8 506 7 




20 


6475 


450 


7736 


180 


0719 


562 


.505 8138 


3 530 


40 








30 


6925 


450 


7556 


180 


1282 


563 


.505 4610 


3 528 


30 








40 
50 


7376 
7826 


451 
450 


7377 
7197 


179 
180 


1844 
2406 


562 
562 


.505 1082 
.504 7555 


3 528 
3527 


20 
10 




Cotangent 








450 




180 




562 




3526 






3550 3540 


46 



10 
20 


0.370 8276 
8726 
9176 


450 
450 


0.928 7017 
6837 
6658 


180 
179 


0.399 2968 
3530 
4092 


562 
562 


2.604 4029 
.504 0504 
.503 6980 


3525 
3524 



50 
40 


14 


1 

2 
3 
4 


355 354 
710 708 
1065 1062 
1420 1416 




30 


9627 


451 


6478 


180 


4654 


562 


.503 3456 


3 524 


30 




5 


1775 1770 




40 
50 


371 0077 
0527 


450 
450 
450 


6298 
6118 


180 
180 
180 


5216 
5779 


562 
563 
562 


.502 9934 
.502 6412 


3 522 
3522 
3521 


20 
10 




6 

7 
8 


2130 2124 
2185 2478 
2840 2832 


47 





0.371 0977 




0.928 5938 




0.399 6341 




2.602 2891 







13 


9 3195 3186 




10 


1428 


451 


5758 


180 


6903 


562 


.501 9371 


3 520 


50 




3530 3520 




20 


1878 


450 


5578 


180 


7465 


562 


.501 5852 


3 519 


40 




1 3,"i3 352 




30 
40 
50 


2328 
2778 
3228 


450 
450 
450 
450 


5398 
5218 
5038 


180 
180 
180 
180 


8028 
8590 
9152 


563 
562 
562 
563 


.501 2333 
.500 8816 
.500 5299 


3 519 
3517 
3517 
3515 


30 
20 
10 




2 
3 
4 
5 


706 704 
1059 1056 
1412 1408 
1765 1760 


48 



10 
20 


0.371 3678 
4128 
4579 


450 
451 


0.928 4858 
4678 
4498 


180 
180 


0.399 9715 
0.400 0277 
0839 


562 
562 


2.500 1784 
.499 8269 
.499 4755 


3515 
3514 



50 
40 


12 


G 
7 
8 
9 


2118 2112 
2471 2464 
2824 2816 
3177 3168 




30 
40 
50 


5029 
5479 
5929 


450 
450 
450 
450 


4318 
4138 
3958 


180 
180 
180 
180 


1402 
1964 
2527 


563 
562 
563 
562 


499 1?41 
.498 7729 
.498 4218 


3 514 
3512 
3511 
3511 


30 
20 
10 




1 

2 


3510 3500 

351 350 
702 700 


























3 


1053 1050 


49 





371 6379 




0.928 3778 




0.400 3089 




2.498 0707 







11 


4 


1404 1400 




10 


6829 


450 


3597 


181 


3652 


563 


.497 7197 


3 510 


50 




5 


1755 1750 




20 
30 
40 


7279 
7729 
8179 


450 
450 
450 


3417 
3237 
3057 


180 
180 
180 


4214 
4777 
5339 


562 
563 
562 


.497 3688 
.497 0180 
.496 6673 


3 509 
3508 
3507 


40 
30 
20 




6 
7 

8 
9 


2106 2100 
2457 2450 
2808 2800 
3159 3150 




50 


8629 


450 


2876 


181 


5902 


563 


.496 3166 


3507 


10 












450 




180 




563 




3 505 








60 





0.371 9079 




0.928 2696 




0.4006465 




2.495 9661 







10 








Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



68 10' 



132 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
21 50' 



' 


" 


Sine 


DifT 


Cosine 


DifT 


Tangent 


Diff 


Cotangent 


Diff. 






Proportional Parts 


60 





0.371 9079 




0.928 2696 




0.400 6465 




2.495 9661 







10 








10 


9529 


450 


2516 


180 


7027 


562 


.495 6156 


3 505 


50 






Sine 




20 
30 
40 


9979 
0.372 0430 
0880 


450 

451 
450 


2336 
2155 
1975 


180 
181 
180 


7590 
8153 
8715 


563 
563 
662 


.495 2652 
.494 9149 
.494 5647 


3504 
3503 
3502 


40 
30 
20 




449 450 451 

1 44 9 4.1 45 1 

2 89 8 90 90 2 




50 


1330 


450 


1794 


181 


9278 


563 


.494 2146 


3 50) 


10 




3 134 7 135 135 3 








450 




180 




563 




3 501 






4 171 


180 180 4 


61 





0.372 1780 




0.928 1614 




0.400 9841 




2.493 8645 







9 


5 224 f 225 225 5 




10 
20 


2229 
2679 


449 
450 


1433 
1253 


181 
180 


0.401 0404 
0966 


563 
562 


.493 5146 
.493 1647 


3 499 
3499 


50 
40 




269 4 270 270 
7 314 3 315 315 7 
8 359 2 360 300 8 




30 


3129 


450 


1073 


180 


1529 


563 


.492 8149 


3498 


30 




9 404 1 405 405 9 




40 


3579 


450 


0892 


181 


2092 


563 


.492 4652 


3497 


20 










50 


4029 


450 


0711 


181 


2655 


563 


.492 1156 


3496 


10 














450 




180 




563 




3496 










62 





0.372 4479 




0.928 0631 




0.401 3218 




2.491 7660 







8 




Cosine 




10 


4929 


450 


0350 


181 


3781 


563 


.491 4166 


3494 


50 




180 181 182 




20 


5379 


450 


0170 


180 


4344 


563 


.491 0672 


3494 


40 




1 18 1) 18 1 18 2 




30 


5829 


450 


927 9989 


181 


4907 


563 


.490 7179 


3493 


30 




2 36 30 2 36 4 




40 
50 


6279 
6729 


450 
450 
450 


9808 
9628 


181 
180 
181 


5470 
6033 


563 
563 
563 


.490 3687 
490 0196 


3 492 
3491 
3490 


20 
10 




3 54 51 3 54 
4 72 72 4 72 8 
5 90 90 5 91 


63 



10 


0.372 7179 
7629 


450 


0.927 9447 
9266 


181 


401 6696 
7159 


563 


2 489 6706 
.489 3216 


3490 



50 


7 


6 108 108 6 109 2 
7 126 12b 7 127 4 
8 114 141 8 145 




20 


8078 


449 


9086 


180 


7722 


563 


.488 9728 


3488 


40 




9 102.0 102 9 103 S 




30 


8528 


450 


8905 


181 


8285 


563 


.488 6240 


3488 


30 










40 


8978 


450 


8724 


181 


8848 


563 


.488 2753 


3 487 


20 










50 


9428 


450 
450 


8543 


181 
180 


9411 


563 
563 


.487 9267 


3 486 
3486 


10 






Tangent 


64 





372 9878 




0.927 8363 




401 9974 




2 487 6781 







6 


562 563 564 




10 


0.373 0328 


450 


8182 


181 


402 0537 


563 


.487 2297 


3 484 


50 




1 56 2 50 3 50 4 




20 
30 
40 
50 


0777 
1227 
1677 
2127 


449 
450 
450 
450 


8001 
7820 
7639 
7458 


181 
181 
181 
181 


1101 
1664 
2227 
2790 


564 
563 
563 
563 


.486 8813 
.486 5331 
.486 1849 
.485 8368 


3484 
3482 
3482 
3481 


40 
30 
20 
10 




2 112 4 112 112 8 

.! 108 108 Q 109 2 
1 .'24 8 225 2 225 6 
5 JSl 281 5 282 
337 2 347 8 338 4 








450 




181 




564 




3481 






7 39 


\ \ 394 1 394 8 


66 



10 


373 2577 
3026 


449 


0.927 7277 
7096 


181 


0.402 3354 
3917 


563 


2.485 4887 
.485 1408 


3479 



50 


5 


8 449 6 450 4 451 2 
9 505 8 506 7 507 




20 


3476 


450 


6915 


181 


4480 


563 


484 7929 


3479 


40 










30 


3926 


450 


6734 


181 


5044 


564 


4844452 


3 477 


30 










40 
50 


4376 
4825 


450 
449 
450 


6553 
6372 


181 
181 
181 


5607 
6170 


563 
563 
564 


.484 0975 
483 7499 


3 477 
3476 
3476 


20 
10 


> 


Cotangent 

3510 3500 


66 



10 
20 


0.373 6276 
5725 
6175 


450 
450 


0.927 6191 
6010 
5829 


181 
181 


0.402 6734 
7297 
7861 


563 
564 


2.483 4023 
.483 0549 
.482 7076 


3474 
3473 



50 
40 


4 


i 

2 
3 
4 


351 350 
702 700 
1053 1050 
1404 1400 




30 


6624 


449 


5648 


181 


8424 


563 


.482 3603 


3 473 


30 




5 


175") 1750 




40 
50 


7074 
7524 


450 
450 
449 


5466 
5285 


182 
181 
181 


8988 
9551 


564 
563 
564 


.482 0131 
.481 6660 


3472 
3471 
3470 


20 
10 




6 

7 
8 
9 


2100 2100 
2157 2450 
2808 2800 
3159 3150 () 


67 





0.373 7973 




0.927 6104 




0.403 0115 




2.481 3190 







3 








10 


8423 


450 


4923 


181 


0678 


563 


.480 9720 


3 470 


50 






3490 3480 




20 


8873 


450 


4742 


181 


1242 


564 


.480 6252 


3468 


40 




1 


349 348 




30 
40 
50 


9322 
9772 
0.374 0222 


449 
450 
450 
449 


4560 
4379 
4198 


182 
181 
181 
182 


1805 
2369 
2933 


563 
564 
564 
563 


.480 2784 
479 9317 
.479 5851 


3 468 
3467 
3466 
3465 


30 
20 
10 




2 
3 
4 


698 096 
1047 1044 
1390 1392 
1745 1740 


























o 


2091 2088 


68 





0.374 0671 




0.927 4016 




0.403 3496 




2.479 2386 







2 


7 


2443 2436 




10 
20 


1121 
1570 


450 
449 


3835 
3654 


181 
181 


4060 
4624 


564 
564 


.478 8922 
.478 5458 


3464 
3464 


50 
40 




8 
9 


2792 2784 
3141 3132 




30 
40 
50 


2020 
2470 
2919 


450 
450 
449 


3472 
3291 
3109 


182 
181 
182 


5188 
5751 
6315 


564 
563 
564 


.478 1995 
.477 8534 
.477 5073 


3 463 
3461 
3461 


30 
20 
10 




1 

2 


3470 3460 

347 346 
691 692 








450 




181 




564 




3 461 






3 


1041 1038 


69 





0.374 3369 




0.927 2928 




0.403 6879 




2.477 1612 







1 


4 


1388 1384 




10 


3818 


449 


2746 


182 


7443 


564 


.476 8153 


3 459 


50 




5 


1735 1730 




20 
30 
40 


4268 
4717 
5167 


450 
449 
450 


2565 
2383 
2202 


181 
182 
181 


8007 
8570 
9134 


564 
563 
564 


.476 4694 
.476 1237 
.475 7780 


3 459 
3457 
3457 


40 
30 
20 




6 
7 
8 
9 


2082 2076 
2429 2422 
2776 2768 
3123 3114 




50 


5616 


449 


2020 


182 


9698 


564 


.475 4324 


3 456 


10 














450 




181 




564 




3 455 










60 





0.374 6066 




0.927 1839 




0.404 0262 




2.475 0869 


















Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


*Tangent 


Diff. 


" 


' 


Proportional Parts 



68 0' 



SINES, COSINES, TANGENTS AND COTANGENTS 
22 0' 



133 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 








0.374 6066 




0.927 1839 




0.404 0262 




2.475 0869 







60 






10 


6515 


449 


1657 


182 


0826 


564 


.474 7414 


3455 


50 








20 


6965 


450 


1475 


182 


1390 


564 


.474 3961 


3 453 


40 




Sine 




30 
40 
50 


7414 
7864 
8313 


449 
450 
449 
450 


1294 
1112 
0930 


181 
182 
182 
182 


1954 
2518 
3082 


564 
564 
564 
564 


474 0508 
.473 7056 
.473 3605 


3453 
3452 
3451 
3450 


30 
20 
10 




1 

3 


449 450 

44 9 45 
89 8 90 
134 7 135 


1 





0.374 8763 




0.927 0748 




0.404 3646 




2.473 0166 







59 


4 


179 6 180 




10 


9212 


449 


0567 


181 


4210 


564 


472 6705 


3 450 


50 




r, 


224 5 225 




20 
30 


9662 
03750111 


450 
449 


0385 
0203 


182 
182 


4775 
5339 


565 
564 


.472 3257 
.471 9809 


3448 
3448 


40 
30 






7 
8 


209 4 270 
314 3 315 
359 2 300 




40 


0561 


450 


0021 


182 


5903 


564 


.471 6362 


3 447 


20 




9 


404 1 405 




50 


1010 


449 


0.926 9839 


182 


6467 


564 


471 2916 


3446 


10 












449 




181 




564 




3 446 








2 



10 


0.376 1459 
1909 


450 


926 9668 
9476 


182 


0.404 7031 
7596 


565 


2.470 9470 
.470 6026 


3444 



50 


68 


Cosine 




20 


2358 


449 


9294 


182 


8160 


564 


.470 2582 


3 444 


40 




181 182 183 




30 


2808 


450 


9112 


182 


8724 


564 


.469 9140 


3 442 


30 




1 18 I 18 2 18 3 




40 
50 


3257 
3706 


449 
449 


8930 
8748 


182 
182 


9288 
9853 


564 
565 


469 5698 
.469 2256 


3442 
3442 


20 
10 




2 ; 2 36 4 36 
3 54 3 54 6 54 9 

4 72 4 72 8 73 2 








450 




182 




564 




3 440 








3 



10 


375 4156 
4605 


449 


0.926 8566 
8384 


182 


0.405 0417 
0981 


564 


2.468 8816 
468 5376 


3440 



50 


67 


5 90 5 91 91 5 
108 109 2 109 8 
7 120 7 127 4 128 1 




20 
30 


5054 
5504 


449 
450 


8202 
8020 


182 
182 


1546 
2110 


565 
564 


468 1938 
467 8500 


3 438 
3438 


40 
30 




8 H4 8 145 140 4 
9 102 9 10 i 8 104 7 




40 


5953 


449 


7838 


182 


2675 


565 


467 5063 


3437 


20 








50 


6402 


449 


7656 


182 


3239 


564 


.467 1627 


3436 


10 












450 




182 




565 




3 436 






Tangent 


4 



10 


376 6862 
7301 


449 


0.926 7474 
7291 


183 


0.4053804 
4368 


564 


2.466 8191 
466 4757 


3434 



50 


56 


564 565 566 




20 
30 


7750 
8200 


449 
450 


7109 
6927 


182 
182 


4933 
5497 


535 
564 


466 1323 
465 7890 


3434 
3433 


40 
30 




1 5( 4 50 5 50 
2 112 8 113 113 2 
3 lt>9 2 109 5 109 8 




40 


8649 


449 


6745 


182 


6062 


565 


465 4458 


3 432 


20 




4 225 () 220 220 4 




50 


9098 


449 
449 


6563 


182 
183 


6626 


564 
565 


.465 1026 


3 432 
3430 


10 




5 |282 282 5 283 
338 4 339 339 


5 



10 


0.375 9547 
9997 


450 


0.926 6380 
6198 


182 


0.406 7191 
7755 


564 


2.464 7696 
464 4166 


3430 




50 


66 


7 394 8 ,595 5 390 2 
S 1451 2 452 452 8 
9 507 508 5 509 4 




20 


0.376 0446 


449 


6016 


182 


8320 


565 


464 0737 


3429 


40 








30 


0895 


449 


5833 


183 


8885 


565 


.463 7309 


3 428 


30 








40 


1344 


449 


5651 


182 


9449 


564 


.463 3882 


3 427 


20 








50 


1793 


449 


5469 


182 


406 0014 


565 


463 0456 


3426 


10 




Cotangent 








450 




183 




565 




3 426 








6 



10 


376 2243 
2692 


449 


0.926 5286 
5104 


182 


0.406 0679 
1144 


565 


2.462 7030 
.462 3605 


3425 



50 


64 


i 

2 


atau j*?u 

345 344 

090 088 




20 


3141 


449 


4921 


183 


1708 


564 


.462 0182 


3423 


40 




3 


1035 1032 




30 


3590 


449 


4739 


182 


2273 


565 


.461 6758 


3424 


30 




4 


1J80 1370 




40 
50 


4039 
4488 


449 
449 


4557 
4374 


182 
183 


2838 
3403 


5G5 
565 


461 3336 
460 9915 


3422 
3421 


20 
10 




b 


1725 1720 
2( 70 2004 
2415 2408 








450 




182 




565 




3 421 






8 


2700 2752 


7 





0.376 4938 




0.926 4192 




0.406 3968 




2.460 6494 







53 


9 


3105 3090 




10 


5387 


449 


4009 


183 


4533 


565 


.460 3074 


3 420 


50 








20 


5836 


449 


3826 


183 


5098 


565 


.459 9655 


3419 


40 




3430 3420 




30 
40 


6285 
6734 


449 
449 


3644 
3461 


182 
183 


5663 
6228 


565 
565 


459 6237 
.459 2819 


3418 
3418 


30 
20 




1 

3 


313 342 
080 084 
1029 1020 




50 


7183 


449 


3279 


182 


6793 


565 


.458 9403 


3 416 


10 




4 


1372 1368 








449 




183 




565 




3416 






5 


1715 1710 


8 





0.376 7632 




0.926 3096 




0.406 7358 




2.458 6987 







52 





2058 2052 




10 
20 


8081 
8530 


449 
449 


2913 
2731 


183 
182 


7923 
8488 


565 
565 


458 2572 
.457 9158 


3 415 
3414 


50 
40 




7 
8 
9 


2401 2394 
2744 2736 
3087 3078 




30 


8980 


450 


2548 


183 


9053 


565 


.457 5745 


3 413 


30 








40 


9429 


449 


2365 


183 


9618 


565 


.457 2332 


3413 


20 




3410 3400 




50 


9878 


449 
449 


2182 


183 
182 


0.407 0183 


565 
565 


.456 8920 


3 412 
3410 


10 




1 

2 


341 340 
682 680 


9 



10 
20 
30 
40 
50 


0.377 0327 
0776 
1225 
1674 
2123 
2572 


449 
449 
449 
449 
449 


0.926 2000 
1817 
1634 
1451 
1268 
1085 


183 
183 
183 
183 
183 


0.407 0748 
1313 
1878 
2444 
3009 
3574 


565 
565 
566 
565 
565 


2.456 5510 
.456 2099 
.455 8690 
.455 5282 
.455 1874 
.454 8467 


3411 
3409 
3408 
3408 
3407 



50 
40 
30 
20 
10 


51 


3 
4 
5 
6 

7 
8 
9 


1023 1020 
1364 1360 
1705 1700 
2046 2040 
2387 2380 
2728 2720 
3069 3060 








449 




183 




565 




3 406 








10 





0.377 3021 




0.926 0902 




0.407 4139 




2.454 6061 







60 








Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



67 60' 



JL34 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
22 10' 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 


10 





0.377 3021 




0.926 0902 




0.407 4139 




2.464 5061 







60 






10 


3470 


449 


0720 


182 


4705 


566 


.454 1656 


3 405 


50 








20 


3919 


449 


0537 


183 


5270 


565 


.453 8252 


3404 


40 




Sine 




30 


4368 


449 


0354 


183 


5835 


565 


453 4848 


3404 


30 




448 449 




40 
50 


4817 
5266 


449 
449 


0171 
925 9988 


183 
183 


6401 
6966 


566 
565 


.453 1445 
.452 8043 


3403 
3402 


20 
10 




1 


44 8 44 9 
89 89 8 








448 




183 




565 




3401 






3 


134 4 134 7 


11 





0.377 6714 




925 9805 




0.407 7631 




2.462 4642 







49 


4 


179 2 179 6 




10 
20 


6163 
6612 


449 
449 


9621 
9438 


184 
183 


8097 
8662 


566 
565 


.452 1242 
.451 7842 


3400 
3400 


50 
40 




5 
6 


224 224 5 
268 8 269 4 
313 6 314 3 




30 


7061 


449 


9255 


183 


9228 


566 


.451 4443 


3 399 


30 




8 


358 4 359 2 




40 


7510 


449 


9072 


183 


9793 


565 


.451 1045 


3398 


20 




9 403 2 404 1 




50 


7959 


449 


8889 


183 


0.408 0359 


566 


.450 7648 


3397 


10 












449 




183 




565 




3396 








12 



10 


0.377 8408 
8857 


449 


0.925 8706 
8523 


183 


0.408 0924 
1490 


566 


2.460 4252 
.450 0856 


3396 



50 


48 


Cosine 




20 


9306 


449 


8339 


184 


2056 


566 


.449 7462 


3394 


40 




182 183 184 




30 


9754 


448 


8156 


183 


2621 


565 


.449 4068 


3 394 


30 




1 18 2 18 3 18 4 




40 
50 


0.378 0203 
0652 


449 
449 


7973 
7790 


183 
183 


3187 
3752 


566 
565 


.449 0675 
.448 7282 


3393 
3393 


20 
10 




2 36 4 30 36 8 
3 51 fi 54 9 55 2 

4 72 8 73 2 73 6 








449 




184 




566 




3 391 








13 



10 


0.378 1101 
1550 


449 


0.925 7606 
7423 


183 


0.408 4318 
4884 


566 


2.448 3891 
.448 0500 


3391 



50 


47 


5 91 91 5 92 
<> 109 2 109 8 110 4 

7 127 4 128 1 128 8 




20 
30 


1999 
2447 


449 
448 


7240 
7056 


183 
184 


5450 
6015 


566 
565 


.447 7110 
.447 3721 


3390 
3389 


40 
30 




8 illfi 6 146 4 147 2 
9 '163 8 164 7 105 6 




40 


2896 


449 


6873 


183 


6581 


566 


.447 0333 


3388 


20 








50 


3345 


449 


6690 


183 


7147 


566 


.446 6946 


3 387 


10 












449 




184 




566 




3387 








14 





0.378 3794 




0.925 6506 




408 7713 




2 446 3559 







46 


Tangent 




10 


4242 


448 


6323 


183 


8279 


566 


.446 0173 


3386 


50 




565 566 567 




20 
30 
40 


4691 
5140 
5589 


449 
449 
449 


6139 
5956 
5772 


184 
183 
184 


8844 
9410 
9976 


565 
566 
566 


445 6788 
.445 3404 
.445 0020 


3385 
3384 
3384 


40 
30 
20 




1 50 5 56 6 56 7 
J 113 (1 113 2 113 4 
3 169 5 161) 8 170 1 
I 226 226 4 226 8 




50 


6037 


448 


5589 


183 


409 0542 


566 


.444 6638 


3382 


10 




5 282 5 283 283 5 








449 




184 




566 




3382 






6 339 339 6 340 2 


15 



10 
20 


0.378 6486 
6935 
7384 


449 
449 


0.925 6405 
5221 
5038 


184 
183 


04091108 
1674 
2240 


566 
566 


2 444 3256 
.443 9875 
.443 6495 


3381 
3380 



50 
40 


46 


7 395 5 396 2 39(> 9 
8 152 452 8 453 6 
9 508 5 509 4 510 3 




30 


7832 


448 


4854 


184 


2806 


566 


.4433115 


3380 


30 








40 


8281 


449 


4671 


183 


3372 


566 


.442 9737 


3378 


20 








50 


8730 


449 
448 


4487 


184 
184 


3938 


566 
566 


.442 6359 


3378 
3377 


10 


> 


Cotangent 


16 



10 
20 


0.378 9178 
9627 
0.379 0076 


449 
449 


0.925 4303 
4119 
3936 


184 
183 


0.409 4604 
5070 
5636 


566 
566 


2.442 2982 
.441 9605 
.441 6230 


3377 
3375 



50 
40 


44 


i 

g 


3410 3400 

341 340 
682 680 
1023 1020 




30 


0524 


448 


3752 


184 


6203 


567 


.441 2855 


3375 


30 




4 


1364 1360 




40 
50 


0973 
1421 


449 
448 
449 


3568 
3384 


184 
184 
183 


6769 
7335 


566 
566 
566 


.440 9481 
.440 6108 


3374 
3373 
3372 


20 
10 




5 
6 


1705 1700 
2016 2040 
2387 2380 


























8 


2728 2720 


17 





0.379 1870 




0.925 3201 




0.409 7901 




2.440 2736 







43 


9 


3069 3060 




10 


2319 


449 


3017 


184 


8467 


566 


.439 9365 


3 371 


50 








20 


2767 


448 


2833 


184 


9034 


567 


.439 5994 


3371 


40 




3390 3380 




30 
40 
50 


3216 
3664 
4113 


449 
448 
449 


2649 
2465 
2281 


184 
184 
184 


9600 
0.410 0166 
0733 


566 
566 
567 


.439 2624 
.438 9255 
.438 5887 


3370 
3369 
3368 


30 
20 
10 




I 

3 
4 


339 338 
67K b76 
1017 1014 
1356 1352 








449 




184 




566 




3 368 


































5 


1695 1690 


18 





379 4562 




0.926 2097 




0.410 1299 




2.438 2619 







42 


6 


2034 2028 




10 
20 
30 


5010 
5459 
5907 


448 
449 
448 


1913 
1729 
1545 


184 
184 
184 


1865 
2432 
2998 


566 
567 
566 


.437 9153 
.437 5787 
.437 2422 


3 366 
3366 
3365 


50 
40 
30 




8 
9 


2373 2366 
2712 2704 
3051 3042 




40 


6356 


449 


1361 


184 


3565 


567 


.436 9058 


3 364 


20 




3370 3360 




50 


6804 


448 


1177 


184 


4131 


566 


.436 5694 


3 364 


10 




1 337 336 








449 




184 




566 




3 363 








67 i 672 


19 





0.379 7253 




0.925 0993 




0.410 4697 




2 436 2331 







41 


3 


1011 1008 




10 
20 
30 


7701 
8150 
8598 


448 
449 
448 


0809 
0625 
0441 


184 
184 
184 


5264 
5831 
6397 


567 
567 
566 


435 8969 
.435 5608 
.435 2248 


3362 
3361 
3360 


50 
40 
30 




4 

5 
6 

7 


1348 1344 
1685 1680 
2022 2016 
2359 2352 




40 
50 


9047 
9495 


449 
448 


0256 
0072 


185 
184 


6964 
7530 


567 
566 


.434 8889 
.434 5530 


3 359 
3359 


20 
10 




8 
9 


2696 2688 
3033 3024 








449 




184 




567 




3 358 








20 





0.379 9944 




0.924 9888 




0.410 8097 




2.434 2172 







40 








Cosine 


Diff 


Kmc 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



67 40' 



SINES, COSINES, TANGENTS AND COTANGENTS 
22 20' 



135 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


D.ff 


Cotangent 


Diff 






Proportional Parts 


20 





0.379 9944 




0.924 9888 




0.410 8097 




2.434 2172 







40 








10 


0.380 0392 


448 


9704 


184 


8664 


567 


.433 8815 


3 357 


50 






Sine 




20 
30 
40 


0840 
1289 
1737 


448 
449 
448 


9520 
9335 
9151 


184 
185 
184 


9230 
9797 
0.411 0364 


566 
567 
567 


.433 5458 
.433 2103 
.432 8748 


3 357 
3355 
3355 


40 
30 
20 




447 448 449 

1 44 7 44 8 44 9 

2 89 4 89 6 89 8 




50 


2186 


449 


8967 


184 


0930 


566 


.432 5394 


3 354 


10 




3 Ml 1 134 4 134 7 








448 




185 




567 




3 353 






4 17 


< 8 179 2 179 6 


21 



10 
20 


0.3802634 
3083 
3531 


449 
448 


0.924 8782 
8598 
8414 


184 
184 


0.411 1497 
2064 
2631 


567 
567 


2.432 2041 
.431 8689 
.431 5337 


3352 
3352 



50 
40 


39 


5 223 5 224 224 5 
6 268 2 268 8 209 4 
7 312 9 313 6 314 3 
8 357 6 358 4 359 2 




30 


3979 


448 


8229 


185 


3197 


566 


.431 1986 


3 351 


30 




9 402 3 403 2 404 1 




40 


4428 


449 


8045 


184 


3764 


567 


.430 8636 


3 350 


20 










50 


4876 


448 


7860 


185 


4331 


567 


.430 5287 


3349 


10 














448 




184 




567 




3349 










22 





0.380 5324 




0.924 7676 




0.411 4898 




2.430 1938 







38 




Cosine 




10 


5773 


449 


7491 


185 


5465 


567 


.429 8591 


3 347 


50 




184 185 186 




20 


6221 


448 


7307 


184 


6032 


567 


.429 5244 


3347 


40 




1 18 4 18 5 18 6 




30 


6669 


448 


7122 


185 


6599 


567 


.429 1898 


3 346 


30 




2 3 


i 8 37 37 2 




40 
50 


7118 
7566 


449 
448 
448 


6938 
6753 


184 
185 
185 


7166 
7733 


567 
567 
567 


.428 8553 
.428 5208 


3 345 
3345 
3344 


20 
10 




3 5 r > 2 55 5 55 8 
4 73 74 74 4 
5 92 92 5 93 


23 





0.380 8014 




0.924 6568 




0.411 8300 




2.428 1864 







37 


HO 4 111 111 
7 128 8 12<) 5 130 2 




10 


8462 


448 


6384 


184 


8867 


567 


.427 8521 


3 343 


50 




8 14 


' 2 148 148 8 




20 


8911 


449 


6199 


185 


9434 


567 


.427 5179 


3342 


40 




9 105 6 16b 5 167 4 




30 


9359 


448 


6014 


185 


0.412 0001 


567 


.427 1838 


3 341 


30 










40 


9807 


448 


5830 


184 


0568 


567 


.426 8497 


3 341 


20 










50 


381 0256 


449 
448 


5645 


185 
185 


1135 


567 
568 


.426 5158 


3 339 
3339 


10 






Tangent 


24 





0.381 0704 




0.924 5460 




0.412 1703 




2.426 1819 







36 


566 567 568 




10 


1152 


448 


5276 


184 


2270 


567 


.425 8480 


3339 


50 




1 5 


6 56 7 50 8 




20 
30 
40 
50 


1600 
2048 
2497 
2945 


448 
448 
449 
448 


5091 
4906 
4721 
4536 


185 
185 
185 
185 


2837 
3404 
3971 
4539 


567 
567 
567 
568 


.425 5143 
.425 1806 
.424 8470 
.424 5135 


3337 
3337 
3336 
3335 


40 
30 
20 
10 




2 113 2 113 4 113 6 
3 Ib9 8 170 1 170 4 
4 22b 4 220 8 227 2 
5 283 283 5 284 
b 339 310 2 340 8 








448 




185 




567 




3334 






7 39 


r> 2 39b 9 397 6 


25 



10 


0.381 3393 
3841 


448 


0.924'4351 
4167 


184 


0.412 6106 
5673 


567 


2.424 1801 
.423 8468 


3333 



50 


35 


8 452 8 453 6 454 4 
9 509 4 510 3 511 2 




20 


4289 


448 


3982 


185 


6241 


568 


.423 5135 


3333 


40 










30 


4737 


448 


3797 


185 


6808 


567 


.423 1803 


3332 


30 










40 
50 


5186 
5634 


449 
448 
448 


3612 
3427 


185 
185 
185 


7375 
7943 


567 
568 
567 


.422 8472 
.422 5141 


3331 
3331 
3329 


20 
10 






Cotangent 

3360 3350 


26 



10 
20 


0.381 6082 
6530 
6978 


448 
448 


0.924 3242 
3057 
2872 


185 
185 


0.412 8510 
9078 
9645 


568 
567 


2.422 1812 
.421 8483 
.421 5155 


3329 
3328 



50 
40 


34 


2 
3 
4 


336 335 
b72 670 
1008 1005 
1344 1340 




30 


7426 


448 


2687 


185 


0.413 0213 


568 


.421 1828 


3327 


30 




5 


1080 1075 




40 
50 


7874 
8322 


448 
448 
448 


2502 
2316 


185 
186 
185 


0780 
1348 


567 
568 
567 


.420 8501 
.420 5176 


3 327 
3325 
3325 


20 
10 




6 

7 
8 


2016 2010 
2352 2345 
2688 2680 
3024 3015 


27 





0.381 8770 




0.924 2131 




0.413 1915 




2.420 1861 







33 








10 


9219 


449 


1946 


185 


2483 


568 


.419 8527 


3 324 


50 






3340 3330 




20 


9667 


448 


1761 


185 


3051 


568 


.419 5203 


3 324 


40 




1 


331 333 




30 
40 
50 


0.382 0115 
0563 
1011 


448 
448 
448 
448 


1576 
1391 
1205 


185 
185 
186 
185 


3618 
4186 
4754 


567 
568 
568 
567 


.419 1881 
.418 8559 
.418 5238 


3322 
3322 
3321 
3320 


30 
20 
10 




2 
3 
4 

6 


608 066 
1002 999 
1336 1332 
H)7() 1605 
2004 1998 


28 





0.382 1459 




0.924 1020 




0.413 5321 




2.418 1918 







32 


7 


2338 2331 




10 
20 


1907 
2355 


448 
448 


0835 
0650 


185 
185 


5889 
6457 


568 
568 


.417 8598 
.417 5280 


3 320 
3318 


50 
40 




8 
9 


2072 2004 
3000 2997 




30 
40 
50 


2803 
3251 
3699 


448 
448 
448 


0464 
0279 
0094 


186 
185 
185 


7025 
7592 
8160 


568 
567 
568 


.417 1962 
.416 8645 
.416 5328 


3 318 
3317 
3317 


30 
20 
10 




1 


3320 3310 

332 331 
004 062 








448 




186 




568 




3315 






3 


990 993 


29 





0.382 4147 




0.923 9908 




0.413 8728 




2.416 2013 







31 


4 


1328 1324 




10 
20 
30 


4595 
5043 
5491 


448 
448 
448 


9723 
9537 
9352 


185 
186 
185 


9296 
9864 
0.414 0432 


568 
568 
568 


.415 8698 
.415 5384 
.415 2071 


3315 
3314 
3313 


50 
40 
30 




5 
6 

7 
8 


1600 1655 
1992 1986 
2324 2317 
2656 2b48 




40 


5938 


447 


9166 


186 


1000 


568 


.414 8758 


3313 


20 




9 


2988 2979 




50 


6386 


448 


8981 


185 


1568 


568 


.414 5447 


3 311 


10 














448 




186 




568 




3 311 










30 





382 6834 




0.923 8795 




0.414 2136 




2.414 2136 







30 










Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff. 


it 


' 


Proportional Parts 



67 30' 



136 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
22 30' * 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tanicent 


Diff 


Cotangent 


Diff. 






Proportional Parts 


30 





0.382 6834 




0.923 8796 




0.414 2136 




2.414 2136 







30 






10 
20 


7282 
7730 


448 
448 


8610 
8424 


185 
186 


2704 
3272 


568 
568 


.413 8825 
.413 5516 


3 311 
3309 


50 
40 




Sine 




30 


8178 


448 


8239 


185 


3840 


568 


.413 2208 


3 308 


30 




447 448 




40 


8626 


448 


8053 


186 


4408 


568 


.412 8900 


3 308 


20 




1 


44 7 44 8 




50 


9074 


448 
448 


7867 


186 
185 


4976 


568 
568 


.412 5593 


3307 
3307 


10 




2 
3 


89 4 89 6 
134 1 134 4 


























4 


178 8 179 2 


31 



10 


0.382 9522 
9969 


447 


0.923 7682 
7496 


186 


0.414 5544 
6112 


568 


2.412 2286 
411 8981 


3305 



50 


29 


6 


223 5 224 
268 2 208 8 




20 


383 0417 


448 


7310 


186 


6680 


568 


411 5676 


3305 


40 




7 


312 9 313 6 




30 
40 


0865 
1313 


448 
448 


7125 
6939 


185 
186 


7248 
7817 


568 
569 


.4112372 
.410 9069 


3304 
3303 


30 
20 




8 
9 


357 G 358 4 
402 3 403 2 




50 


1761 


448 


6753 


186 


8385 


568 


.410 5767 


3302 


10 












448 




186 




568 




3 302 








32 



10 


383 2209 
2656 


447 


923 6567 
6382 


185 


0.414 8953 
9521 


568 


2.410 2465 
4099164 


3301 



50 


28 


Cosine 




20 


3104 


448 


6196 


186 


415 0090 


569 


.409 5864 


3300 


40 




185 186 187 




30 
40 


3552 
4000 


448 
448 


6010 
5824 


186 
186 


0658 
1226 


568 
568 


409 2565 
.408 9266 


3 299 
3299 


30 
20 




1 18 5 18 6 18 7 
2 37 37 2 37 4 
3 55 5 55 8 56 1 




50 


4447 


447 


5638 


186 


1795 


569 


.408 5969 


3297 


10 




4 74 74 4 74 8 








448 




186 




568 




3 297 






5 92 5 1)3 93 5 


33 





0.383 4895 




923 5452 




0.415 2363 




2.408 2672 







27 


6 111 111 6 112 2 




10 
20 
30 


5343 
5791 
6238 


448 
448 
447 


5266 
5080 
4894 


186 
186 
186 


2932 
3500 
4069 


569 
568 
569 


.407 9375 
.407 6080 
.407 2785 


3 297 
3295 
3295 


50 
40 
30 




7 129 5 131) 2 130 9 
8 148 148 8 149 
9 100 5 167 4 168 3 




40 


6686 


448 


4708 


186 


4637 


568 


406 9491 


3294 


20 








50 


7134 


448 


4522 


186 


5206 


569 


406 6198 


3 293 


10 












448 




186 




568 




3 292 






Tangent 


34 



10 
20 


0.383 7582 
8029 
8477 


447 
448 


0.923 4336 
4150 
3964 


186 
186 


0.415 5774 
6343 
6911 


569 
568 


2.406 2906 
405 9614 
405 6323 


3292 
3291 



50 
40 


26 


568 569 570 

1 5b 8 50 ') 57 
2 113 6 113 8 114 




30 


8925 


448 


3778 


186 


7480 


569 


405 3033 


3290 


30 




3 170 4 170 7 171 




40 


9372 


447 


3592 


186 


8048 


568 


.404 9744 


3289 


20 




4 227 2 227 228 




50 


9820 


448 
448 


3406 


186 
186 


8617 


569 
569 


4046455 


3289 
3287 


10 




5 281 284 5 285 
h 310 8 341 4 342 


35 



10 


0.384 0268 
0715 


447 


0.923 3220 
3033 


187 


0.415 9186 
9754 


568 


2.404 3168 
403 9881 


3287 



50 


25 


7 3 { )7 6 3*18 3 399 
8 4')4 4 455 2 450 
9 511 2 512 1 513 




20 


1163 


448 


2847 


186 


0.416 0323 


569 


.403 6594 


3287 


40 








30 


1610 


447 


2661 


186 


0892 


569 


403 3309 


3 285 


30 








40 
50 


2058 
2506 


448 
448 


2475 
2288 


186 
187 


1461 
2029 


569 
568 


.403 0024 
.402 6740 


3285 
3284 


20 
10 




Cotangent 








447 




186 




569 




3283 




> 


3310 3300 


36 



10 


0.384 2953 
3401 


448 


0.923 2102 
1916 


186 


0.416 2598 
3167 


569 


2.402 3457 
.402 0175 


3282 



50 


24 


i 

2 


331 330 
662 660 




20 
30 
40 
50 


3848 
4296 
4743 
5191 


447 
448 
447 
448 


1730 
1543 
1357 
1170 


186 
187 
186 
187 


3736 
4305 
4874 
5443 


569 
569 
569 
569 


.401 6893 
.401 3612 
.401 0332 
.400 7053 


3 282 
3281 
3280 
3279 


40 
30 
20 
10 




3 
4 
5 
6 
7 


993 990 
1324 1320 
1655 1650 
1986 1980 
2317 2310 








448 




186 




569 




3 279 






8 


2048 2640 


37 





0.384 5639 




0.923 0984 




0.416 6012 




2.400 3774 







23 


9 


2979 2970 




10 
20 


6086 
6534 


447 
448 


0797 
0611 


187 
186 


6581 
7150 


569 
569 


.400 0496 
.399 7219 


3 278 
3277 


50 
40 




3290 3280 




30 
40 


6981 
7429 


447 
448 


0424 
0238 


187 
186 


7719 
8288 


569 
569 


399 3943 
.399 0667 


3276 
3276 


30 
20 




2 
3 


3/9 3Z8 
058 656 
987 984 




50 


7876 


447 


0051 


187 


8857 


569 


.398 7392 


3 275 


10 




4 


1316 1312 








448 




186 




569 




3274 






5 


16-45 1640 


38 



10 
20 


0.384 8324 
8771 
9219 


447 
448 


0.922 9865 
9678 
9492 


187 
186 


416 9426 
9995 
417 0564 


569 
569 


2.398 4118 
.398 0845 
.397 7573 


3273 
3272 



50 
40 


22 


6 

7 
8 
9 


1974 1968 
2303 2296 
2632 2624 
2961 2952 




30 


9666 


447 


9305 


187 


1133 


569 


.397 4301 


3 272 


30 








40 


0.385 0113 


447 


9118 


187 


1702 


569 


.397 1030 


3 271 


20 




3270 3260 




50 


,0561 


448 


8932 


186 


2271 


569 


.396 7760 


3270 


10 




1 


327 326 








447 




187 




570 




3270 






2 


654 652 


39 



10 
20 
30 


0.385 1008 
1456 
1903 
2351 


448 

447 
448 


0.922 8745 
8558 
8372 
8185 


187 
186 
187 


0.417 2841 
3410 
3979 
4548 


569 
569 
569 


2.396 4490 
.396 1221 
.395 7954 
.395 4686 


3269 
3267 
3268 



50 
40 
30 


21 


3 
4 
5 
6 

7 


981 978 
1308 1304 
1635 1630 
1962 1956 
2289 2282 




40 
50 


2798 
3245 


447 
447 


7998 
7811 


187 
187 


5118 
5687 


570 
569 


.395 1420 
.394 8154 


3266 
3266 


20 
10 




8 
9 


2616 2608 
2943 2934 








448 




187 




570 




3265 








40 





0.385 3693 




0.922 7624 




0.417 6267 




2.394 4889 







20 








Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff. 


" 


' 


Proportional Parts 



67 20' 



SINES, COSINES, TANGENTS AND COTANGENTS 
22 40' 



137 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 


40 





0.385 3693 




0.922 7624 




0.417 6257 




2.394 4889 







20 










10 


4140 


447 


7438 


186 


6826 


569 


394 1625 


3 264 


50 








Sine 




20 
30 
40 


4587 
5035 
5482 


447 
448 
447 


7251 
7064 
6877 


187 
187 
187 


7395 
7965 
8534 


569 
570 
569 


.393 8362 
.393 5099 
.393 1837 


3 263 
3263 
3262 


40 
30 
20 




1 


446 447 448 

44 6 44 7 44 8 
89 2 89 4 89 6 




50 


5929 


447 


6690 


187 


9104 


570 


.392 8576 


3 261 


10 




3 


133 8 1,3 1 1 134 4 








448 




187 




569 




3 260 






4 


17H 


4 178 8 179 2 


41 



10 
20 


0.386 6377 
6824 
7271 


447 
447 


0.922 6503 
6316 
6129 


187 
187 


0.417 9673 
0.418 0243 
0812 


570 
569 


2.392 5316 
.392 2056 
.391 8797 


3260 
3259 



50 
40 


19 


5 
6 

8 


223 223 5 224 
267 6 268 2 208 8 
il2 2 312 9 313 6 
356 8 357 6 358 4 




30 


7719 


448 


5942 


187 


1382 


570 


391 5539 


3258 


30 




9 


401 


4 402 3 403 2 




40 


8166 


447 


5755 


187 


1951 


569 


.391 2282 


3257 


20 












50 


8613 


447 


5568 


187 


2521 


570 


390 9025 


3 257 


10 
















447 




187 




570 




3256 












42 





0.3859060 




0.922 5381 




0.418 3091 




2.390 5769 







18 






Cosine 




10 


9508 


448 


5194 


187 


3660 


569 


.390 2514 


3255 


50 




186 187 188 




20 


9955 


447 


5007 


187 


4230 


570 


.389 9260 


3 254 


40 




1 


18 6 18 7 18 8 




30 


386 0402 


447 


4820 


187 


4800 


570 


.389 6007 


3 253 


30 




2 


37 2 37 4 37 6 




40 
50 


0849 
1297 


447 
448 
447 


4632 
4445 


188 
187 
187 


5369 
5939 


569 
570 
570 


.389 2754 
.388 9502 


3 253 
3252 
3252 


20 
10 




3 
4 
5 


55 8 56 1 56 4 
74 4 74 8 75 2 
93 93 5 94 


43 





0.386 1744 




0.922 4258 




0.418 6509 




2.388 6250 







17 


6 


111 6 112 2 112 8 
130 2 130 9 131 6 




10 


2191 


447 


4071 


187 


7079 


570 


.388 3000 


3 250 


50 




8 


148 8 149 6 150 4 




20 


2638 


447 


3883 


188 


7649 


570 


.387 9750 


3250 


40 




9 


167 4 168 3 169 2 




30 


3085 


447 


3696 


187 


8218 


569 


.387 6501 


3 249 


30 












40 


3533 


448 


3509 


187 


8788 


570 


.387 3253 


3248 


20 












50 


3980 


447 
447 


3322 


187 
188 


9358 


570 
570 


.387 0005 


3248 
3247 


10 








Tangent 


44 





0.386 4427 




0.922 3134 




0.418 9928 




2 386 6758 







16 


569 570 571 




10 
20 
30 


4874 
5321 
5768 


447 
447 
447 


2947 
2759 
2572 


187 
188 
187 


0.419 0498 
1068 
1638 


570 
570 
570 


.386 3512 
.386 0267 
.385 7022 


3 246 
3245 
3245 


50 
40 
30 




1 

2 

3 
4 


56 9 57 57 1 
113 8 114 114 2 
170 7 171 171 3 
227 6 228 228 4 




40 


6215 


447 


2385 


187 


2208 


570 


.385 3779 


3 243 


20 




5 


284 5 285 285 5 




50 


6663 


448 
447 


2197 


188 
187 


2778 


570 
570 


.385 0536 


3 243 
3243 


10 




6 

7 


3il 4 342 342 6 
398 3 399 399 7 


45 



10 


0.386 7110 

7557 


447 


0.922 2010 
1822 


188 


0.419 3348 
3918 


570 


2.384 7293 
384 4052 


3241 



50 


16 


8 
9 


455 2 45b 456 8 
512 1 513 513 9 




20 


8004 


447 


1635 


187 


4488 


570 


.3840811 


3241 


40 












30 


8451 


447 


1447 


188 


5058 


570 


.383 7571 


3240 


30 












40 
50 


8898 
9345 


447 
447 


1260 
1072 


187 
188 


5628 
6199 


570 
571 


.383 4332 
.383 1093 


3 239 
3239 


20 
10 








Cotangent 

3270 3260 








447 




188 




570 




3238 












46 





386 9792 




0.922 0884 




0.419 6769 




2.382 7865 







14 




1 

2 


327 326 
654 G52 




10 
20 


0.387 0239 
0686 


447 
447 


0697 
0509 


187 
188 


7339 
7909 


570 
570 


.382 4618 
.382 1382 


3237 
3236 


50 
40 






3 
4 


981 978 
1308 1304 




30 
40 


1133 
1580 


447 
447 


0321 
0134 


188 
187 


8480 
9050 


571 
570 


.381 8146 
.381 4912 


3236 
3234 


30 
20 






5 
6 

7 


1635 1630 
1962 1966 
2289 2282 




50 


2027 


447 


0.921 9946 


188 


9620 


570 


.381 1677 


3 235 


10 






8 


2616 2608 








447 




188 




570 




3233 








9 


2943 2934 


47 



10 


387 2474 
2921 


447 


0.921 9758 
9571 


187 


0.420 0190 
0761 


571 


2.3808444 
.380 5212 


3232 



50 


13 






3250 3240 




20 
30 


3368 
3815 


447 
447 


9383 
9195 


188 
188 


1331 
1902 


570 
571 


.380 1980 
.379 8749 


3232 
3231 


40 
30 






2 
3 


325 324 
650 648 
975 972 




40 


4262 


447 


9007 


188 


2472 


570 


.379 5518 


3 231 


20 






4 


1300 1296 




50 


4709 


447 


8819 


188 


3042 


570 


.379 2289 


3229 


10 






5 


1625 1620 








447 




187 




571 




3229 








6 


1950 1944 


48 



10 
20 


0.387 6156 
5603 
6050 


447 
447 


0.921 8632 
8444 
8256 


188 
188 


0.420 3613 
4183 
4754 


570 
571 


2.378 9060 
.378 5832 
.378 2604 


3228 
3228 



50 
40 


12 




7 
8 
9 


2275 2268 
2600 2592 
2925 2916 




30 


6497 


447 


8068 


188 


5324 


570 


.377 9378 


3 226 


30 








3230 3220 




40 


6944 


447 


7880 


188 


5895 


571 


.377 6152 


3226 


20 






1 


323 322 




50 


7390 


446 
447 


7692 


188 
188 


6446 


571 
570 


.377 2927 


3225 
3224 


10 






3 


646 644 
969 9b6 


49 



10 
20 


0.387 7837 
8284 
8731 


447 
447 


0.921 7504 
7316 
7128 


188 
188 


0.420 7036 
7607 
8178 


571 
571 


2.376 9703 
.376 6479 
.376 3256 


3224 
3223 



50 
40 


11 




4 
5 

6 
7 


1292 1288 
1615 1610 
1938 1932 
2261 2254 




30 
40 


9178 
9625 


447 
447 


6940 
6752 


188 
188 


8748 
9319 


570 
571 


.376 0034 
.375 6812 


3222 
3222 


30 
20 






8 
9 


2584 2576 
2907 2898 




50 


0.388 0072 


447 
446 


6564 


188 
189 


9890 


571 
570 


.375 3592 


3 220 
3220 


10 










60 





0.388 0518 




0.921 6375 




0.421 0460 




2.375 0372 







10 












Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


- 


' 


Proportional Parts 



67 10' 



138 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
22 50' 



' 


- 


Sine 


Diff 


Conine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 


60 





0.388 0518 




0.921 6375 




0.421 0460 




2.376 0372 







10 






10 


0965 


447 


6187 


188 


1031 


571 


.374 7153 


3 219 


50 








20 


1412 


447 


5999 


188 


1602 


571 


.374 3934 


3 219 


40 




Sine 




30 


1859 


447 


5811 


188 


2173 


571 


.374 0717 


3217 


30 




446 447 




40 


2306 


447 


5623 


188 


2744 


571 


.373 7500 


3 217 


20 




1 44 fi 44 7 




50 


2752 


446 


5435 


188 


3314 


570 


.373 4283 


3 217 


10 






89 2 89 4 








447 




189 




571 




3215 






3 


133 8 134 1 


51 





0.388 3199 




0.921 6246 




0.421 3885 




2.373 1068 







9 


4 


178 4 178 8 




10 
20 


3646 
4093 


447 
447 


5058 
4870 


188 
188 


4456 
5027 


571 
571 


.372 7853 
.372 4639 


3 215 
3214 


50 
40 




5 
6 

7 


223 223 5 
267 6 268 2 
312 2 312 9 




30 


4539 


446 


4681 


189 


5598 


571 


.372 1426 


3213 


30 




8 


356 8 357 b 




40 


4986 


447 


4493 


188 


6169 


571 


.371 8213 


3213 


20 




9 401 4 402 3 




50 


5433 


447 


4305 


188 


6740 


571 


.371 5002 


3211 


10 












447 




189 




571 




3 211 








52 



10 


03885880 
6326 


446 


0.921 4116 
3928 


188 


0.421 7311 
7882 


571 


2.371 1791 
370 8580 


3211 



50 


8 


Cosine 




20 


6773 


447 


3739 


189 


8453 


571 


.370 5371 


3 209 


40 




188 189 190 




30 


7220 


447 


3551 


188 


9024 


571 


.370 2162 


3209 


30 




1 18 8 18 9 19 




40 
50 


7666 
8113 


446 
447 
447 


3363 
3174 


188 
189 
188 


9596 
0.422 0167 


572 
571 
571 


.369 8954 
.369 5746 


3208 
3208 
3206 


20 
10 




2 37 6 37 8 38 
3 5b 4 56 7 57 
4 75 2 75 6 76 


53 



10 


0.388 8560 
9006 


446 


0.921 2986 
2797 


189 


0.422 0738 
1309 


571 


2.369 2540 
.368 9334 


3206 



50 


7 


5 94 94 5 95 
112 8 113 4 114 
7 131 6 132 3 133 




20 
30 


9453 
9900 


447 
447 


2608 
2420 


189 
188 


1880 
2452 


571 
572 


.368 6129 
368 2924 


3 205 
3205 


40 
30 




8 150 4 151 2 152 
9 109 2 170 1 171 




40 


389 0346 


446 


2231 


189 


3023 


571 


.367 9721 


3 203 


20 








50 


0793 


447 


2043 


188 


3594 


571 


.367 6518 


3 203 


10 












447 




189 




571 




3 202 








54 





0.389 1240 




0.921 1854 




422 4165 




2.367 3316 







6 


Tangent 




10 


1686 


446 


1665 


189 


4737 


572 


3670114 


3 202 


50 




570 571 572 




20 


2133 


447 


1477 


188 


5308 


571 


366 6913 


3201 


40 




1 57 57 1 57 2 




30 
40 


2579 
3026 


446 
447 


1288 
1099 


189 
189 


5879 
6451 


571 
572 


.366 3713 
.366 0514 


3200 
3199 


30 
20 




2 114 114 2 111 4 
3 171 171 3 171 b 

4 228 228 4 228 8 




50 


3472 


446 


0911 


188 


7022 


571 


.365 7316 


3 198 


10 




5 285 285 5 286 








447 




189 




572 




3 198 






6 342 342 6 343 2 


55 



10 
20 


0.389 3919 
4366 
4812 


447 
446 


0.921 0722 
0533 
0344 


189 
189 


0.422 7594 
8165 
8737 


571 
572 


2.366 4118 
.365 0921 
.364 7724 


3197 
3 197 



50 
40 


6 


7 399 399 7 400 4 
8 456 45b 8 457 6 
9 513 513 9 514 8 




30 


5259 


447 


0155 


189 


9308 


571 


364 4529 


3 195 


30 








40 


5705 


446 


0.920 9966 


189 


9880 


572 


.364 1334 


3 195 


20 








50 


6152 


447 
446 


9778 


188 
189 


423 0451 


571 
572 


.363 8140 


3 194 
3194 


10 


\ 


Cotangent 


56 





0.389 6598 




0.920 9589 




423 1023 




2.363 4946 







4 


3220 3210 




10 
20 


7045 
7491 


447 
446 


9400 
9211 


189 
189 


1595 
2166 


572 
571 


363 1754 
.362 8562 


3 192 
3192 


50 
40 




2 


322 321 
611 642 
966 963 




30 


7938 


447 


9022 


189 


2738 


572 


.362 5371 


3 191 


30 




4 


1288 1281 




40 


8384 


446 


8833 


189 


3310 


572 


.362 2180 


3 191 


20 




5 


11.10 1605 




50 


8830 


446 
447 


8644 


189 
189 


3881 


571 
572 


.361 8990 


3190 
3189 


10 




6 


9.52 1926 
2254 2247 


57 



10 


0.389 9277 
9723 


446 


920 8455 
8266 


189 


0.423 4453 
5025 


572 


2.361 5801 
.361 2613 


3188 



50 


3 


8 
9 


2570 2568 
2898 2889 




20 


0.390 0170 


447 


8077 


189 


5597 


572 


360 9425 


3 188 


40 




3200 3190 




30 


0616 


446 


7888 


189 


6168 


571 


.360 6239 


3 186 


30 




1 320 319 




40 


1063 


447 


7698 


190 


6740 


572 


.360 3053 


3 186 


20 




2 


610 638 




50 


1509 


446 
446 


7509 


189 
189 


7312 


572 
572 


.359 9867 


3 186 
3184 


10 




3 
4 


960 957 
12HO 1276 


58 



10 


0.390 1955 
2402 


447 


0.920 7320 
7131 


189 


0.423 7884 
8456 


572 


2.359 6683 
.359 3499 


3184 



50 


2 


5 
6 

7 


1600 1595 
920 1914 
2210 2233 




20 
30 


2848 
3294 


446 
446 


6942 
6753 


189 
189 


9028 
9600 


572 
572 


.359 0315 
.358 7133 


3 184 
3182 


40 
30 




8 
9 


2560 2552 
2880 2871 




40 
50 


3741 
4187 


447 
446 
446 


6563 
6374 


190 
189 
189 


0.424 0172 
0744 


572 
572 
572 


.358 3951 
.358 0770 


3 182 
3181 
3180 


20 
10 




l 


3180 3170 

318 317 


























2 


636 634 


59 





0.390 4633 




0.920 6185 




0.424 1316 




2.357 7590 







1 


3 


954 951 




10 


5080 


447 


5995 


190 


1888 


572 


.357 4410 


3 180 


50 




4 


1272 1268 




20 
30 
40 


5526 
5972 
6419 


446 
446 
447 


5806 
5617 
5427 


189 
189 
190 


2460 
3032 
3604 


572 
572 
572 


.357 1232 
356 8054 
.356 4876 


3 178 
3178 
3178 


40 
30 
20 




6 

7 
8 


1590 1585 
1908 1902 
2226 2219 
2544 2536 




50 


6865 


446 


5238 


189 


4176 


572 


.356 1700 


3 176 


10 




9 


2862 2853 








446 




189 




572 




3 176 








60 





0.390 7311 




0.920 5049 




0.424 4748 




2.355 8524 
















Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



67 0' 



SINES, COSINES, TANGENTS AND COTANGENTS 
23 0' 



139 



' 


" 


Sine 


Diff. 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff. 






Proportional Parts 








0.390 7311 




0.920 6049 




0.424 4748 




2.355 8524 







60 








10 


7758 


447 


4859 


190 


5320 


172 


.355 5348 


3 176 


50 






Sine 




20 
30 
40 


8204 
8650 
9096 


446 
446 
446 


4670 
4480 
4291 


189 
190 
189 


5893 
6465 
7037 


573 
572 
572 


.355 2174 
.3549000 
.354 5827 


3 174 
3174 
3173 


40 
30 
20 




445 

1 11 

2 89 


446 447 

5 44 6 44 7 
89 2 89 4 




50 


9543 


447 


4101 


190 


7609 


572 


.354 2655 


3 172 


10 




3 133 


5 133 8 134 1 








446 




189 




573 




3172 






4 178 


178 4 178 8 


1 





0.390 9989 




0.920 3912 




0.424 8182 




2.3639483 







69 


5 222 


5 223 223 5 




10 
20 
30 


0.391 0435 
0881 
1327 


446 
446 
446 


3722 
3532 
3343 


190 
190 
189 


8754 
9326 
9899 


572 
572 
573 


.353 6313 
.353 3142 
352 9973 


3 170 
3171 
3169 


50 
40 
30 




6 267 267 6 268 2 
7 311 5 312 2 312 9 
8 356 356 8 357 6 
9 400 5 401 4 402 3 




40 


1774 


447 


3153 


190 


0.425 0471 


572 


.352 6804 


3 169 


20 










50 


2220 


446 


2963 


190 


1043 


572 


.352 3636 


3168 


10 














446 




189 




573 




3167 










2 





0.391 2666 




0.920 2774 




0.425 1616 




2.352 0469 







58 




Cosine 




10 
20 
30 


3112 

3558 
4004 


446 
446 
446 


2584 
2394 
2205 


190 
190 
189 


2188 
2761 
3333 


572 
573 
572 


.351 7303 
.351 4137 
.351 0972 


3 166 
3166 
3165 


50 
40 
30 




189 

1 18 

2 37 


190 191 

9 19 19 1 
8 38 38 2 




40 
50 


4450 
4897 


446 
447 
446 


2015 
1825 


190 
190 
190 


3906 
4478 


573 
572 
573 


.350 7808 
.3504644 


3164 
3164 
3163 


20 
10 




3 56 7 57 57 3 
4 75 6 76 76 4 
5 01 5 95 95 5 


3 



10 


0.391 5343 
5789 


446 


0.920 1635 
1445 


190 


0.425 6051 
5624 


573 


2.350 1481 
.349 8319 


3162 



50 


57 


b 113 
7 132 
8 151 


4 114 114 6 
3 133 133 7 
2 152 152 8 




20 


6235 


446 


1256 


189 


6196 


572 


.349 5157 


3162 


40 




9 170 


1 171 171 9 




30 


6681 


446 


1066 


190 


6769 


573 


.349 1997 


3 160 


30 










40 


7127 


446 


0876 


190 


7342 


573 


.348 8837 


3160 


20 










50 


7573 


446 
446 


0686 


190 
190 


7914 


572 
573 


.348 5677 


3160 
3158 


10 






Tangent 


4 





0.391 8019 




0.920 0496 




0.425 8487 




2.348 2519 







56 


572 


573 574 




10 


8465 


446 


0306 


190 


9060 


573 


.347 9361 


3 158 


50 




1 57 


2 57 3 57 4 




20 


8911 


446 


0116 


190 


9632 


572 


.347 6204 


3 157 


40 




2 114 


4 114 6 114 8 




30 
40 
50 


9357 
9803 
392 0249 


446 
446 
446 


0.919 9926 
9736 
9546 


190 
190 
190 


0.426 0205 
0778 
1351 


573 
573 
573 


.347 3047 
.346 9892 
.346 6737 


3 157 
3155 
3155 


30 
20 
10 




3 171 (i 1/1 9 1715 2 
4 228 8 229 2 229 6 
r > 286 286 5 287 
6 343 2 343 8 344 4 








446 




190 




573 




3 155 






7 100 


4 401 1 401 8 


6 



10 


0.392 0696 
1141 


446 


0.919 9356 
9166 


190 


0.426 1924 
2497 


573 


2.346 3582 
.346 0429 


3153 



50 


55 


8 457 6 458 4 450 2 
9 514 8 515 7 516 4 




20 


1587 


446 


8976 


190 


3070 


573 


.345 7276 


3153 


40 










30 


2033 


446 


8786 


190 


3643 


573 


.345 4124 


3 152 


30 










40 
50 


2479 
2925 


446 
446 


8595 
8405 


191 
190 


4215 
4788 


572 
573 


.345 0973 
.344 7822 


3 151 
3151 


20 
10 




Cotangent 








446 




190 




573 




3 150 








3180 3170 


6 



10 
20 


0.392 3371 
3817 
4263 


446 
446 


0.919 8215 
8025 
7835 


190 
190 


0.426 5361 
5934 
6508 


573 
574 


2.344 4672 
.344 1523 
343 8374 


3149 
3149 



50 
40 


54 


2 
3 
4 


318 317 
636 634 
954 951 
1272 1268 




30 


4709 


446 


7644 


191 


7081 


573 


.343 5226 


3 148 


30 






1590 1585 




40 
50 


5155 
5601 


446 
446 
446 


7454 
7264 


190 
190 
191 


7654 
8227 


573 
573 
573 


.343 2079 
.342 8933 


3 147 
3146 
3146 


20 
10 




6 

7 
8 


1908 1902 
2226 2219 
2514 2536 


7 





0.392 6047 




0.919 7073 




04268800 




2.342 5787 







63 


9 


2862 2853 




10 


6493 


446 


6883 


190 


9373 


573 


.342 2642 


3 145 


50 




3160 3150 




20 


6938 


445 


6693 


190 


9946 


573 


.341 9498 


3 144 


40 




1 


316 315 




30 
40 
50 


7384 
7830 
8276 


446 
446 
446 
446 


6502 
6312 
6121 


191 
190 
191 
190 


0.427 0520 
1093 
1666 


574 
573 
573 
573 


.341 6354 
.341 3212 
.341 0070 


3 144 
3142 
3142 
3142 


30 
20 
10 




2 
3 
4 
5 


632 630 
948 945 
1264 1260 
1580 1575 


8 



10 
20 


0.392 8722 
9168 
9613 


446 
445 


0.919 5931 
5740 
5550 


191 
190 


0.427 2239 
2813 
3386 


574 
573 


2.340 6928 
340 3787 
.3400647 


3141 
3140 



50 
40 


62 


8 
9 


1896 1890 
2212 2205 
2528 2520 
2844 2835 




30 
40 
50 


393 0059 
0505 
0951 


446 
446 
446 
446 


5359 
5169 
4978 


191 
190 
191 
190 


3959 
4533 
5106 


573 
574 
573 
574 


.339 7508 
.339 4370 
.339 1232 


3 139 
3138 
3138 
3137 


30 
20 
10 




1 

2 
3 


3140 3130 

314 313 
628 626 
942 939 


9 





0.393 1397 




0.919 4788 




0.427 5680 




23388095 







61 


4 


1256 1252 




10 


1842 


445 


4597 


191 


6253 


573 


.338 4958 


3 137 


50 




5 


1570 1565 




20 
30 


2288 
2734 


446 
446 


4406 
4216 


191 
190 


6827 
7400 


574 
573 


.338 1823 
.337 8688 


3 135 
3135 


40 
30 




6 

7 
8 


1884 1878 
2108 2191 
2512 2504 




40 


3180 


446 


4025 


191 


7974 


574 


.337 5553 


3 135 


20 




9 


2826 2817 




50 


3625 


445 


3834 


191 


8547 


573 


337 2420 


3 133 


10 














446 




190 




574 




3 133 










10 





0.393 4071 




0.919 3644 




0.427 9121 




2.336 9287 







50 










Cosine 


Dii 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



66 50' 



40 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
23 10' 



' 


" 


Sine 


Diff 


COMIIC- 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proport 


innal Parts 


10 





393 4071 




0.919 3644 




0.427 9121 




2 336 9287 







60 








10 


4517 


446 


3453 


191 


9694 


573 


.336 6155 


3 132 


50 




Sine 




20 
30 
40 


4963 
5408 
5854 


446 
445 
446 


3262 
3071 
2881 


191 
191 
190 


428 0268 
0842 
1415 


574 
574 
573 


336 3023 
.335 9893 
335 6763 


3 132 
3130 
3130 


40 
30 
20 




445 

1 44 

2 8!) 


446 

5 41 6 

80 2 




50 


6300 


446 
445 


2690 


191 
191 


1989 


574 
574 


.335 3633 


3 130 
3128 


10 




3 133 5 133 8 
4 178 178 4 


11 



10 
20 


393 6746 
7191 
7637 


446 
446 


0.919 2499 
2308 
2117 


191 
191 


0.428 2563 
3136 
3710 


573 
574 


2.335 0605 
334 7377 
.334 4250 


3128 
3127 



50 
40 


49 


6 267 
7 311 
8 3.10 


5 223 
267 6 
5 312 2 
356 8 




30 


8082 


445 


1926 


191 


4284 


574 


.334 1123 


3 127 


30 




9 400 


5 401 4 




40 


8528 


446 


1735 


191 


4858 


574 


.333 7997 


3 126 


20 










50 


8973 


445 


1544 


191 


5432 


574 


333 4872 


3 125 


10 














446 




191 




573 




3 124 










12 





393 9419 




0.919 1353 




0.428 6005 




2 333 1748 







48 


Cosine 




10 


9865 


446 


1162 


191 


6579 


574 


332 8624 


3 124 


50 




190 


191 192 




20 


394 0310 


445 


0971 


191 


7153 


574 


332 5502 


3 122 


40 




1 10 


10 1 10 2 




30 
40 
50 


0756 
1201 
1647 


446 
445 
446 
446 


0780 
0589 
0398 


191 
191 
191 
191 


7727 
8301 
8875 


574 
574 
574 
574 


332 2379 
.331 9258 
.331 6137 


3 123 
3121 
3121 
3120 


30 
20 
10 




2 38 
3 57 
4 76 
5 05 


38 2 38 4 
57 3 57 6 
76 4 76 8 
05 5 06 


























b 114 


114 6 115 2 


13 





394 2093 




0.919 0207 




428 9449 




2.331 3017 







47 


7 133 


133 7 134 4 




10 
20 


2538 
2984 


445 
446 


0016 
918 9825 


191 
191 


0.429 0023 
0597 


574 
574 


.330 9897 
330 6779 


3 120 
3118 


50 
40 




8 152 
i) 17 


152 8 153 6 
171 9 172 8 




30 


3429 


445 


9634 


191 


1171 


574 


330 3661 


3 118 


30 










40 


3875 


446 


9442 


192 


1745 


574 


330 0543 


3 118 


20 










50 


4320 


445 
446 


9251 


191 
191 


2320 


575 
574 


329 7427 


3 116 
3 116 


10 




Tangent 


14 





0.394 4766 




0.918 9060 




0.429 2894 




2 329 4311 







46 


573 


574 575 




10 


5211 


445 


8869 


191 


3468 


574 


329 1196 


3 115 


50 




1 57 3 


57 4 57 5 




20 
30 


5657 
6102 


446 
445 


8677 
8486 


192 
191 


4042 
4616 


574 
574 


.328 8081 
328 4968 


3 115 
3113 


40 
30 




2 114 (} 
3 171 9 
1 229 2 


114 8 115 
172 2 172 5 

220 6 230 




40 


6548 


446 


8295 


191 


5191 


575 


328 1854 


3 114 


20 




5 286 5 


287 287 5 




50 


6993 


445 


8103 


192 


5765 


574 


.327 8742 


3 112 


10 




6 343 8 


344 4 345 








446 




191 




574 




3112 






7 401 1 


401 8 402 5 


15 



10 


394 7439 

7884 


445 


918 7912 
7721 


191 


0.429 6339 
6913 


574 


2.327 6630 
327 2519 


3111 



50 


45 


8 458 4 
9 515 7 


459 2 460 
516 6 517 5 




20 


8329 


445 


7529 


192 


7488 


575 


.326 9409 


3 110 


40 










30 


8775 


446 


7338 


191 


8062 


574 


326 6300 


3 109 


30 










40 


9220 


445 
446 


7146 


192 
191 


8636 


574 
575 


.326 3191 


3109 
3 108 


20 




Cotangent 




50 


9666 


445 


6955 


192 


9211 


574 


.326 0083 


3108 


10 




* 3130 


3120 


16 



10 


395 0111 
0556 


445 


918 6763 
6572 


191 


429 9785 
430 0360 


575 


2 325 6975 
325 3868 


3107 



50 


44 


^ 1 313 312 ( 

2 626 624 
3 1)39 036 




20 


1002 


446 


6380 


192 


0934 


574 


325 0762 


3 106 


40 




4 1251 


1248 




30 


1447 


445 


6189 


191 


1509 


575 


324 7657 


3 105 


30 




5 1565 15bO 




40 
50 


1893 
2338 


446 
445 
445 


5997 
5806 


192 
191 
192 


2083 
2658 


574 
575 
574 


324 4552 
324 1448 


3 105 
3104 
3103 


20 
10 




6 1878 1872 
7 210 2184 
8 2504 () 2106 
9 2817 280S 


17 





395 2783 




918 6614 




0.430 3232 




2 323 8345 







43 








10 


3229 


446 


5422 


192 


3807 


575 


.323 5243 


3 102 


50 




3110 


3100 




20 


3674 


445 


5231 


191 


4382 


575 


323 2141 


3 102 


40 




1 311 


310 




30 
40 


4119 
4564 


445 
445 


5039 
4847 


192 
192 


4956 
5531 


574 
575 


.322 9040 
322 5939 


3 101 
3101 


30 
20 




2 (22 620 
3 033 030 
4 12 U o I'-HO n 




50 


5010 


446 


4656 


191 


6106 


575 


322 2839 


3 100 


10 




5 l r )5f 


o ir^n n 








445 




192 




574 




3099 






6 1866 I860 


18 





396 5456 




918 4464 




430 6680 




2.321 9740 







42 


7 2177 


2170 




10 
20 


5900 
6346 


445 
446 


4272 
4080 


192 
192 


7255 
7830 


575 
575 


321 6642 
.321 3544 


3 098 
3098 


50 
40 




8 2488 2480 
9 2790 2700 




30 


6791 


445 


3888 


192 


8405 


575 


.321 0447 


3097 


30 






3090 




40 


7236 


445 


3697 


191 


8980 


575 


.320 7351 


3 0% 


20 




1 


300 




50 


7681 


445 


3505 


192 


9554 


574 


.320 4255 


3 096 


10 




2 


618 








446 




192 




575 




3095 






3 


027 


19 





395 8127 




0.918 3313 




0.431 0129 




2.320 1160 







41 


4 


1236 




10 
20 
30 


8572 
9017 
9462 


445 
445 
445 


3121 
2929 
2737 


192 
192 
192 


0704 
1279 
1854 


575 
575 
575 


.319 8066 
.3194973 
.319 1880 


3094 
3093 
3093 


50 
40 
30 




5 
6 

7 
8 


1545 
1854 
2163 
2472 




40 


9907 


445 


2545 


192 


2429 


575 


.318 8788 


3092 


20 




9 


2781 




50 


396 0352 


445 


2353 


192 


3004 


575 


.318 5696 


3 092 


10 














446 




192 




575 




3090 










20 





396 0798 




0.918 2161 




0.431 3579 




2.318 2606 







40 










Cosine 


DifT 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



66 40' 



SINES, COSINES, TANGENTS AND COTANGENTS 
23 20' 



141 



' 




Sine 


Diff 


Cosine 


Diff 


Tangent 


UifT 


Cotangent 


DifT 






Proportional Parts 


20 





0.396 0798 




0.918 2161 




0.431 3579 




2.318 2606 







40 








10 


1243 


445 


1969 


192 


4154 


575 


.317 9516 


3090 


50 










20 


1688 


445 


1777 


192 


4729 


575 


.317 6426 


3 090 


40 




Sine 




30 


2133 


445 


1585 


192 


5304 


575 


.317 3338 


3088 


30 




444 


445 446 




40 


2578 


445 


1393 


192 


5879 


575 


.317 0250 


3088 


20 




1 H 4 


44 5 44 6 




50 


3023 


445 


1201 


192 


6454 


575 


.316 7163 


3087 


10 




2 88 8 


89 89 2 








445 




192 




576 




3087 






3 133 2 


133 5 133 8 


21 





0.396 3468 




0.918 1009 




0.431 7030 




2.316 4076 







39 


4 177 6 


178 178 4^ 




10 
20 
30 


3914 
4359 
4804 


446 
445 
445 


0816 
0624 
0432 


193 
192 
192 


7605 
8180 
8755 


575 
575 
575 


.316 0990 
.315 7905 
.315 4821 


3086 
3085 
3084 


50 
40 
30 




5 222 
6 2()6 J 
7 310 8 
8 3,T> 2 


222 5 223 
207 267 6 
311 5 312 2 

356 356 8 




40 


5249 


445 


0240 


192 


9330 


575 


.315 1737 


3084 


20 




9 399 6 


400 5 401 4 




50 


5694 


445 


0047 


193 


9906 


576 


.314 8654 


3083 


10 














445 




192 




575 




3083 










22 



10 


0.396 6139 
6584 


445 


917 9855 
9663 


192 


0.432 0481 
1056 


575 


2.314 5571 
.314 2490 


3081 



50 


38 


Cosine 




20 


7029 


445 


9471 


192 


1632 


576 


.313 9409 


3081 


40 




192 


193 194 




30 


7474 


445 


9278 


193 


2207 


575 


.313 6328 


3081 


30 




1 19 2 


19 3 19 4 




40 


7919 


445 


9086 


192 


2782 


575 


.313 3249 


3079 


20 




2 38 4 


38 38 8 




50 


8364 


445 
445 


8894 


192 
193 


3358 


576 
575 


.313 0170 


3079 
3078 


10 




4 76 8 


57 9 58 '2 

77 "2 77 6 


23 



10 


396 8809 
9254 


445 


0.917 8701 
8509 


192 


0.432 3933 
4509 


576 


2.312 7092 
.312 4014 


3078 



50 


37 


5 91 > 
( 115 2 

7 i:u i 


96 5 97 
115 8 116 4 
135 I 135 8 




20 
30 


9699 
397 0144 


445 
445 


8316 
8124 


193 
192 


5084 
5660 


575 
576 


.312 0937 
311 7861 


3077 
3076 


40 
30 




8 1">M> 
9 172 8 


154 4 155 2 
173 7 174 6 




40 


0589 


445 


7931 


193 


6235 


575 


.311 4785 


3076 


20 










50 


1034 


445 


7739 


192 


6811 


576 


.311 1711 


3074 


10 














445 




193 




575 




3074 










24 





0.397 1479 




917 7546 




0.432 7386 




2.310 8637 







36 


Tangent 




10 


1924 


445 


7354 


192 


7962 


576 


.310 5563 


3 074 


50 




575 


576 577 




20 
30 
40 


2369 
2814 
3259 


445 
445 
445 


7161 
6969 
6776 


193 
192 
193 


8538 
9113 
9689 


576 
575 
576 


.310 2490 
.309 9418 
.309 6347 


3073 
3072 
3071 


40 
30 
20 




1 57 5 
2 115 
3 172 5 
4 230 


57 6 57 7 
115 2 IT) 1 
172 8 173 I 
230 4 230 8 




50 


3703 


444 


6583 


193 


433 0265 


576 


.309 3276 


3 071 


10 




5 287 5 


288 288 5 








445 




192 




575 




3070 






6 315 


345 6 346 2 


25 



10 
20 


0.397 4148 
4593 
5038 


445 
445 


917 6391 
6198 
6005 


193 
193 


433 0840 
1416 
1992 


576 
576 


2.309 0206 
308 7137 
.308 4068 


3069 
3069 



50 
40 


35 


7 402 5 
8 460 
9 517 3 


403 2 403 9 
460 8 461 h 
518 1 519 3 




30 


5483 


445 


5812 


193 


2568 


576 


308 1001 


3067 


30 










40 


5928 


445 


5620 


192 


3144 


576 


.307 7933 


3 068 


20 










50 


6373 


445 
445 


5427 


193 
193 


3719 


575 
576 


.307 4867 


3066 
3066 


10 




Cotangent 


26 





397 6818 




0.917 5234 




0.433 4295 




2.307 1801 







34 


3090 3080 




10 
20 


7262 
7707 


444 
445 


5041 
4849 


193 
192 


4871 
5447 


576 
576 


306 8736 
.306 5671 


3065 
3065 


50 
40 




1 309 
2 618 

3 927 


308 
616 
Q24 




30 


8152 


445 


4656 


193 


6023 


576 


.306 2607 


3 064 


30 




4 1236 1232 




40 
50 


8597 
9042 


445 
445 
444 


4463 
4270 


193 
193 
193 


6599 
7175 


576 
576 
576 


.305 9544 
.305 6482 


3063 
3062 
3062 


30 
10 




5 1545 1540 
6 1854 1848 
7 2163 2156 


27 



10 


0.397 9486 
9931 


445 


0.917 4077 
3884 


193 


0.433 7751 
8327 


576 


2.305 3420 
.305 0359 


3061 



50 


33 


8 2472 
9 2781 


2464 
2772 




20 


0.398 0376 


445 


3691 


193 


8903 


576 


.304 7299 


3060 


40 




3070 3060 




30 


0821 


445 


3498 


193 


9479 


576 


.304 4239 


3060 


30 




1 307 306 




40 
50 


1265 
1710 


444 

445 
445 


3305 
3112 


193 
193 
193 


0.434 0056 
0632 


577 
576 
576 


.304 1180 
303 8122 


3059 
3058 
3058 


20 
10 




2 614 612 
3 921 918 
4 1228 1221 


























5 153f 


n i fc'jn i\ 


28 





0.398 2155 


ttA 


0.917 2919 




0.434 1208 




2.303 5064 







32 


6 1842 1830 




10 


2599 


444 


2726 


193 


1784 


576 


.303 2007 


3 057 


50 




7 2149 2142 




20 
30 


3044 
3489 


445 
445 


2533 
2340 


193 
193 


2360 
2936 


576 
576 


.302 8951 
.302 5895 


3 056 
3056 


40 
30 




8 2456 2448 
9 2763 2754 




40 


3934 


445 


2147 


193 


3513 


577 


.302 2840 


3 055 


20 






3050 




50 


4378 


444 


1953 


194 


4089 


576 


.301 9786 


3 054 


10 




1 


305 








445 




193 




576 




3054 






2 


610 


29 





0.398 4823 




0.917 1760 




0.434 4665 




2.301 6732 







31 


3 


915 




10 
20 
30 


5268 
5712 
6157 


445 
444 

445 


1567 
1374 
1181 


193 
193 
193 


5242 
5818 
6394 


577 
576 
576 


.301 3680 
.301 0627 
.300 7576 


3052 
3053 
3051 


50 
40 
30 




4 
5 

6 

7 


1220 
1525 
1830 
2135 




40 


6601 


444 


0987 


194 


6971 


577 


.300 4525 


3051 


20 




8 


2440 




50 


7046 


445 


0794 


193 


7547 


576 


.300 1475 


3050 


10 




9 


2745 








445 




193 




577 




3050 










30 





0.398 7491 




0.917 0601 




0.434 8124 




2.299 8426 







30 










Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Pioportional Parts 



66 30' 



142 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
23 30' 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 


30 





0.398 7491 




0.917 0601 




0.434 8124 




2.299 8426 







30 








10 


7935 


444 


0407 


194 


8700 


576 


.299 5377 


3 048 


50 






Sine 




20 
30 
40 


8380 
8824 
9269 


445 
444 

445 


0214 
0021 
0.916 9827 


193 
193 
194 


9277 
9853 
0.435 0430 


577 
576 
577 


.299 2329 
298 9281 
298 6234 


3048 
3048 
3047 


40 
30 
20 




1 

2 


444 445 

44 4 44 5 

88 8 89 




50 


9714 


445 
444 


9634 


193 
194 


1006 


576 

577 


2983188 


3 046 
3045 


10 




3 
4 


133 2 133 5 
177 6 178 


31 



10 
20 


0.399 0168 
0603 
1047 


445 
444 


0.916 9440 
9247 
9054 


193 
193 


0.435 1683 
2160 
2736 


577 
576 


2.298 0143 
.297 7098 
.297 4054 


3045 
3044 



50 
40 


29 


5 
6 

7 
8 


222 222 5 
266 4 267 
310 8 311 5 
355 2 356 




30 


1492 


445 


8860 


194 


3313 


577 


.297 1011 


3 043 


30 




9 


399 6 400 5 




40 


1936 


444 


8666 


194 


3890 


577 


.296 7968 


3 043 


20 










50 


2381 


445 


8473 


193 


4466 


576 


.296 4926 


3 042 


10 














444 




194 




577 




3041 










32 





0.399 2826 




0.916 8279 




04366043 




2.296 1885 







28 




Cosine 




10 


3270 


445 


8086 


193 


5620 


577 


.295 8844 


3 041 


50 




193 


194 195 




20 
30 
40 


3714 
4159 
4603 


444 

445 
444 


7892 
7699 
7505 


194 
193 
194 


6197 
6774 
7350 


577 
577 
576 


.295 5804 
.295 2765 
294 9726 


3040 
3039 
3039 


40 
30 
20 




1 19 3 19 4 19 5 

2 38 6 38 8 39 
3 57 9 58 2 58 5 
4 77 2 77 b 78 




50 


5048 


445 


7311 


194 


7927 


577 


.294 6688 


3 038 


10 




5 96 5 97 97 5 








444 




193 




577 




3 037 






6 115 8 116 4 117 


33 



10 
20 


0.399 6492 
5936 
6381 


444 
445 


0.916 7118 
6924 
6730 


194 
194 


0.435 8504 
9081 
9658 


577 
577 


2.294 3651 
.294 0615 
.293 7579 


3036 
3036 



50 
40 


27 


7 135 1 135 8 136 5 
8 151 4 155 2 156 
9 173 7 174 ft 175 5 




30 


6825 


444 


6536 


194 


0.436 0235 


577 


.293 4543 


3 036 


30 










40 


7270 


445 


6343 


193 


0812 


577 


.293 1509 


3 034 


20 










50 


7714 


444 
444 


6149 


194 
194 


1389 


577 
577 


.292 8475 


3 034 
3033 


10 






Tangent 


34 



10 
20 


0.399 8168 
8603 
9047 


445 
444 


0.916 5956 
5761 
5567 


194 
194 


0.436 1966 
2543 
3120 


577 
577 


2.292 6442 
.292 2409 
291 9377 


3033 
3032 



50 
40 


26 


576 577 578 

1 57 6 57 7 57 8 
2 115 2 115 4 115 6 
3 172 8 173 1 173 4 




30 


9492 


445 


5373 


194 


3697 


577 


.291 6346 


3 031 


30 




4 230 I 230 8 231 2 




40 


9936 


444 


5179 


194 


4275 


578 


.291 3316 


3 030 


20 




5 288 288 5 289 




50 


400 0380 


444 
445 


4985 


194 
194 


4852 


577 
577 


.291 0286 


3 030 
3029 


10 




6 345 6 340 2 316 8 
7 403 2 403 9 404 6 


35 



10 


0.400 0825 
1269 


444 


0.916 4791 
4597 


194 


0.436 5429 
6006 


577 


2.290 7257 
.290 4228 


3029 



50 


25 


8 460 8 461 6 462 4 
9 518 4 519 3 520 2 




20 


1713 


444 


4403 


194 


6583 


577 


.290 1200 


3 028 


40 










30 
40 


2157 
2602 


444 

445 


4209 
4015 


194 
194 


7161 
7738 


578 
577 


.289 8173 
289 5147 


3 027 
3026 


30 
20 






Cotangent 




50 


3046 


444 


3821 




8315 


577 


.289 2121 


3 026 


10 


i 


3050 3040 








444 




194 




578 




3 025 










36 





0.400 3490 




0.916 3627 




0.436 8893 




2.288 9096 







24 


1 


305 304 
610 608 




10 


3935 


445 


3433 


194 


9470 


577 


.288 6071 


3 025 


50 




3 


915 912 




20 


4379 


444 


3239 


194 


0.437 0047 


577 


.288 3047 


3 024 


40 




4 


1220 1216 




30 
40 


4823 
5267 


444 
444 


3045 
2851 


194 
194 


0625 
1202 


578 
577 


288 0024 
.287 7002 


3 023 
3022 


30 
20 







1525 1520 
1830 1824 
2135 2128 




50 


5712 


445 


2657 


194 


1780 


578 


.287 3980 


3 022 


10 




8 


2440 2432 








444 




195 




577 




3 021 






9 


2745 273b 


37 



10 


0.400 6166 
6600 


444 


0.916 2462 
2268 


194 


437 2367 
2935 


578 


2.287 0959 
.286 7938 


3021 



50 


23 




3030 3020 




20 
30 


7044 
7488 


444 
444 

AAK. 


2074 
1880 


194 
194 
195 


3512 
4090 


577 
578 
577 


286 4919 
286 1900 


3 019 
3019 
3 019 


40 
30 




1 

3 


303 302 
bOb 604 
<)09 906 




40 


7933 


440 


1685 




4667 




.285 8881 




20 




4 


1212 1208 




50 


8377 


444 


1491 


194 


5245 


578 


.285 5863 


3 018 


10 




5 


1515 1510 








444 




194 




578 




3 017 






6 


1818 1812 


38 



10 


0.400 8821 
9265 


444 


0.916 1297 
1102 


195 


0.437 5823 
6400 


577 


2.2852846 
2849830 


3016 



50 


22 


7 
8 
9 


2121 2114 
2424 2416 
2727 2718 




20 


9709 


444 


0908 


194 


6978 


578 


284 6814 


3 016 


40 










30 


0.401 0153 


444 


0713 


195 


7556 


578 


.284 3799 


3 015 


30 






3010 




40 


0597 


444 


0519 


194 


8133 


577 


284 0785 


3 014 


20 






1 301 




50 


1041 


444 


0325 


194 


8711 


578 


.283 7771 


3 014 


10 






2 602 








445 




195 




578 




3 013 








3 903 


39 



10 


0.401 1486 
1930 


444 


916 0130 
0.915 9936 


194 


0.437 9289 
9867 


578 


2.283 4768 
.283 1745 


3013 



50 


21 




4 1204 
5 1505 
6 1806 




20 


2374 


444 


9741 


195 


0.438 0444 


577 


.282 8734 


3*011 


40 






7 2107 




30 
40 


2818 
3262 


444 

444 


9547 
9352 


194 
195 


1022 
1600 


578 
578 


.282 5722 
.282 2712 


3012 
3010 


30 
20 






8 2408 
9 2709 




50 


3706 


444 


9157 


195 


2178 


578 


.281 9702 


3010 


10 














444 




194 




578 




3009 










40 





0.401 4160 




0.915 8963 




0.438 2756 




2.281 6693 







20 










Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



66 20' 



SINES, COSINES, TANGENTS AND COTANGENTS 
23 40' 



143 



' 


" 


Sine 


Diff. 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff. 






Proportional Parts 


40 





0.401 4160 




0.915 8963 




0.438 2756 




2.281 6693 







20 








10 
20 


4594 
5038 


444 
444 


8768 
8574 


195 
194 


3334 
3912 


578 
578 


.281 3685 
.281 0677 


3008 
3008 


50 
40 




Sine 




30 


5482 


444 


8379 


195 


4490 


578 


.280 7670 


3007 


30 




443 


444 




40 


5926 


444 


8184 


195 


5068 


578 


.280 4663 


3007 


20 




1 44 


3 44 4 




50 


6370 


444 

444 


7989 


195 
194 


5646 


578 
578 


.280 1658 


3005 
3005 


10 




2 88 
3 132 


G 88 8 
9 133 2 


41 



10 


0.401 6814 
7258 


444 


0.915 7795 
7600 


195 


0.438 6224 
6802 


578 


2.279 8653 
279 5648 


3005 



50 


19 


4 177 
5 221 
G 205 


2 177 6 
5 222 
8 2b6 4 




20 


7702 


444 


7405 


195 


7380 


578 


.279 2644 


3 004 


40 




7 310 


1 310 8 




30 
40 


8146 
8590 


444 
444 


7210 
7016 


195 
194 


7959 
8537 


579 
578 


.278 9641 
.278 6639 


3 003 
3002 


30 
20 




8 354 
9 398 


4 355 2 
7 399 6 




50 


9034 


444 


6821 


195 


9115 


578 


.278 3637 


3 002 


10 














444 




195 




578 




3001 










42 



10 


0.401 9478 
9922 


444 


0.915 6626 
6431 


195 


0.438 9693 
0.439 0271 


578 


2.278 0636 
.277 7635 


3001 



50 


18 


Cosine 




20 


0.402 0366 


444 


6236 


195 


0850 


579 


277 4636 


2999 


40 




194 


195 1% 




30 
40 


0810 
1253 


444 
443 


6041 
5846 


195 
195 


1428 
2006 


578 
578 


.277 1636 
.276 8638 


3000 
2998 


30 
20 




1 19 4 

2 38 8 
3 58 2 


19 5 19 6 
39 39 2 

58 5 58 8 




50 


1697 


444 


5651 


195 


2585 


579 


.276 5640 


2 998 


10 




4 77 G 


78 78 4 








444 




195 




578 




2 997 






5 97 


97 5 98 


43 





0.402 2141 




0.915 5456 




0.439 3163 




2.276 2643 







17 


G 110 4 


117 117 6 




10 
20 
30 


2585 
3029 
3473 


444 
444 
444 


5261 
5066 
4871 


195 
195 
195 


3741 
4320 
4898 


578 
579 
578 


275 9647 
.275 6651 
.275 3656 


2 996 
2996 
2995 


50 
40 
30 




7 135 8 
8 155 2 
9 174 G 


130 5 137 2 
150 150 8 
175 5 17G 4 




40 


3917 


444 


4676 


195 


5477 


579 


.275 0661 


2 995 


20 










50 


4360 


443 


4481 


195 


6055 


578 


.274 7667 


2994 


10 














444 




195 




579 




2993 






Tancent 


44 



10 
20 
30 


0.402 4804 
5248 
5692 
6136 


444 
444 
444 


0.915 4286 
4091 
3896 
3700 


195 
195 
196 


0.439 6634 
7212 
7791 
8369 


578 
579 
578 


2.274 4674 
274 1682 
273 8690 
.273 5698 


2992 
2992 
2992 



50 
40 
30 


16 


578 

1 57 8 
2 115 b 
3 175 1 


579 580 

57 9 58 
115 8 110 
173 7 174 




40 


6579 


443 


3505 


195 


8948 


579 


.273 2708 


2 990 


20 




4 231 2 


231 6 232 




50 


7023 


444 
444 


3310 


195 
195 


9527 


579 
578 


.272 9718 


2 990 
2989 


10 




5 289 
540 8 


289 5 290 
347 4 318 


45 



10 


0.402 7467 
7911 


444 


915 3115 
2920 


195 


0.440 0105 
0684 


579 


2.272 6729 
.272 3740 


2989 



50 


15 


7 tOt G 
8 402 4 
9 520 2 


405 3 400 
403 2 404 
521 1 522 




20 


8354 


443 


2724 


1% 


1263 


579 


.272 0752 


2 988 


40 










30 


8798 


444 


2529 


195 


1841 


578 


271 7765 


2 987 


30 










40 
50 


9242 
9686 


444 
444 


2334 
2138 


195 
196 


2420 
2999 


579 
579 


271 4778 
271 1793 


2 987 
2985 


20 
10 




Cotangent 








443 




195 




579 




2 986 


































301C 


3000 


46 



10 


0.403 0129 
0573 


444 


915 1943 
1747 


1% 


0.440 3578 
4157 


579 


2 270 8807 
.270 5823 


2984 



50 


14 


1 '501 
2 002 


300 
(>()() 




20 
30 
40 
50 


1017 
1460 
1904 
2348 


444 
443 
444 
444 


1552 
1357 
1161 
0966 


195 
195 
1% 
195 


4736 
5314 
5893 
6472 


579 
578 
579 
579 


.270 2839 
269 9855 
.269 6873 
.269 3891 


2 984 
2984 
2982 
2982 


40 
30 
20 
10 




3 903 WO 
1 1201 1200 
5 1505 1500 
G IKOb 1800 
7 2107 2100 








443 




196 




579 




2 982 






8 2408 


2100 


47 





0.403 2791 




915 0770 




0.440 7051 




2.269 0909 







13 


9 2709 


2700 




10 
20 
30 
40 


3235 
3679 
4122 
4566 


444 
444 
443 
444 


0575 
0379 
0184 
0.914 9988 


195 
196 
195 
196 


7630 
8209 
8788 
9367 


579 
579 
579 
579 


268 7929 
.268 4949 
268 1969 
.267 8991 


2 980 
2980 
2980 
2978 


50 
40 
30 
20 




2990 

1 299 

2 598 
3 81)7 


2980 

298 
590 
894 




50 


5009 


443 


9792 


196 


9946 


579 


267 6013 


2978 


10 




4 119*, 


1192 








444 




195 




580 




2 978 






5 1495 


1490 


48 



10 
20 


0.403 5453 
5897 
6340 


444 
443 


0.914 9597 
9401 
9205 


196 
1% 


0.441 0526 
1105 
1684 


579 
579 


2 267 3035 
267 0058 
.266 7082 


2977 
2976 



50 
40 


12 


1791 
7 2093 
8 2392 
9 2091 


1788 
2080 
2381 
2082 




30 


6784 


444 


9010 


195 


2263 


579 


.266 4107 


2 975 


30 










40 


7227 


443 


8814 


196 


2842 


579 


.266 1132 


2 975 


20 






2970 




50 


7671 


444 


8618 


196 


3421 


579 


.265 8158 


2 974 


10 




1 


297 








443 




196 




580 




2 974 






2 


594 


49 



10 
20 


0.403 8114 
8558 
9001 


444 
443 


0.914 8422 
8227 
8031 


195 
196 


0.441 4001 
4580 
5159 


579 
579 


2.265 6184 
.265 2212 
.264 9239 


2972 
2973 



50 
40 


11 


3 
4 
5 
G 


891 
1188 
1485 
1782 




30 
40 
50 


9445 
9888 
404 0332 


444 
443 
444 


7835 
7639 
7443 


196 
196 
1% 


5739 
6318 
6897 


580 
579 
579 


.264 6268 
.264 3297 
.264 0327 


2 971 
2971 
2970 


30 
20 
10 




7 
8 
9 


2079 
237G 
2673 








443 




196 




580 




2 970 










60 





0.404 0775 




0.914 7247 




0.441 7477 




2.263 7367 







10 










Cosmo 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



66 10' 



144 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
23 50' 



' 


" 


Si no 


DifT 


Co.smc 


DifT 


Tangent 


Diff 


Cotangent 


DifT 






Propor 


lonul Paits 


50 





0.404 0775 




0.914 7247 




0.441 7477 




2.263 7357 




10 








10 


1219 


444 


7051 


196 


8056 


579 


.263 4388 


2 969 


50 




Sine 




20 
30 
40 


1662 
2106 
2549 


443 
444 
443 


6856 
6660 
6464 


195 
196 
196 


8636 
9215 
9795 


580 
579 
580 


263 1420 
.262 8452 
262 5485 


2968 
2968 
2967 


40 
30 
20 




442 

I 44 2 

2 88 4 


443 444 

44 3 41 4 

88 88 8 




50 


2993 


444 


6268 


196 


442 0374 


579 


.262 2519 


2966 


10 




3 132 


1.32 9 133 2 








443 




1% 




580 




2965 






4 176 8 


177 2 177 6 


51 



10 
20 
30 


0.404 3436 
3879 
4323 
4766 


443 
444 
443 


914 6072 
5876 
5679 
5483 


196 
197 
196 


0.442 0954 
1533 
2113 
2693 


579 
580 
580 


2 261 9554 
.261 6589 
261 3624 
.261 0660 


2965 
2965 
2964 



50 
40 
30 


9 


5 22\ 
(> 2t)f> 2 
7 309 4 
8 .353 ti 
U 397 8 


221 5 222 
265 8 260 4 
310 1 310 8 
354 4 355 2 
398 7 399 6 




40 


5210 


444 


5287 


196 


3272 


579 


.260 7697 


2 963 


20 










50 


5653 


443 


5091 


196 


3852 


580 


260 4735 


2962 


10 














443 




196 




580 




2962 










52 





404 6096 




0.914 4895 




0.442 4432 




2 260 1773 







8 


Cosine 




10 
20 
30 


6540 
6983 
7426 


444 
444 
443 


4699 
4503 
4306 


196 
196 
197 


5011 
5591 
6171 


579 
580 
580 


259 8812 
259 5852 
.259 2892 


2961 
2960 
2960 


50 
40 
30 




195 

1 9 5 
2 39 


196 197 

19 10 7 
39 2 39 4 




40 
50 


7870 
8313 


444 
443 
443 


4110 
3914 


1% 
196 
196 


6751 
7331 


580 
580 
579 


.258 9933 
.258 6974 


2 959 
2959 
2958 


20 
10 




3 58 5 

4 78 


58 8 59 1 
78 4 78 8 
98 98 5 


63 



10 


404 8756 
9200 


444 


914 3718 
3521 


197 


0.442 7910 
8490 


580 


2 258 4016 
.258 1059 


2957 



50 


7 


i. ii7 b 

7 1.36 5 
8 156 


117 118 2 

137 2 137 9 
l r >6 8 157 




20 


9643 


443 


3325 


196 


9070 


580 


.257 8102 


2957 


40 




9 175 5 


176 4 177 3 




30 


0.405 0086 


443 


3129 


196 


9650 


580 


257 5147 


2955 


30 










40 


0529 


443 


2932 


197 


0.443 0230 


580 


257 2191 


2 956 


20 










50 


0973 


444 
443 


2736 


196 
196 


0810 


580 
580 


.256 9237 


2954 
2954 


10 




Tangent 


54 





0.405 1416 




914 2540 




0.443 1390 




2 256 6283 







6 


579 


580 581 




10 


1859 


443 


2343 


197 


1970 


580 


256 3329 


2 954 


50 




1 57 < 


58 58 1 




20 
30 
40 
50 


2302 
2746 
3189 
3632 


443 
444 
443 
443 


2147 
1950 
1754 
1557 


196 
197 
196 
197 


2550 
3130 
3710 
4290 


580 
580 
580 
580 


.256 0377 
.255 7425 
.255 4473 
.255 1522 


2952 
2952 
2952 
2951 


40 
30 
20 
.10 




1 115 8 
.-! 173 7 
4 231 
5 289 5 
'.Ml \ 


116 116 2 
171 171 3 
232 232 4 
290 290 5 
348 318 








443 




1% 




581 




2950 






7 405 3 


400 406 7 


55 



10 


0.405 4075 
4518 


443 


914 1361 
1164 


197 


0.443 4871 
5451 


580 


2.254 8572 
254 5623 


2949 



50 


5 


8 403 2 
9 521 1 


404 464 8 
522 522 9 




20 


4962 


444 


0968 


1% 


6031 


580 


254 2674 


2949 


40 






! 




30 


5405 


443 


0771 


197 


6611 


580 


.253 9726 


2 948 


30 










40 
50 


5848 
6291 


443 
443 
443 


0574 
0378 


197 
196 
197 


7191 
7772 


580 
581 
580 


.253 6778 
253 3831 


2 948 
2947 
2946 


20 
10 




CotangenV 

2970 2960 


56 



10 
20 


0.405 6734 
7177 
7620 


443 
443 


0.914 0181 
0.913 9984 
9788 


197 
196 


0.443 8352 
8932 
9513 


580 
581 


2.253 0885 
252 7940 
.252 4995 


2945 
2945 



50 
40 


4 


1 207 290 
2 504 592 
3 891 () 888 
4 11X8 1184 




30 


8063 


443 


9591 


197 


0.444 0093 


580 


.252 2050 


2 945 


30 




5 IIS." 


H80 




40 


8507 


444 


9394 


197 


0674 


581 


251 9107 


2943 


20 




6 1782 1770 




50 


8950 


443 
443 


9197 


197 
196 


1254 


580 
580 


.251 6164 


2943 
2943 


10 




7 2079 2072 
8 2370 2368 
1 207.5 2664 


57 





0.405 9393 




0.913 9001 




0.444 1834 




2 251 3221 







3 








10 


9836 


443 


8804 


197 


2415 


581 


.251 0279 


2942 


50 




2950 2940 




20 


406 0279 


443 


8607 


197 


2995 


580 


250 7338 


2941 


40 




1 295 294 




30 
40 
50 


0722 
1165 
1608 


443 
443 
443 
443 


8410 
8213 
8016 


197 
197 
197 
197 


3576 
4156 
4737 


581 
580 
581 
581 


.250 4398 
.250 1458 
.249 8519 


2 940 
2940 
2939 
2939 


30 
20 
10 




2 590 588 
3 885 882 
4 1180 1176 
5 1475 1470 
6 1770 1761 


58 





0.406 2051 




0.913 7819 




0.444 5318 




2.249 5580 







2 


7 2065 2058 




10 
20 


2494 
2937 


443 
443 


7622 
7425 


197 
197 


5898 
6479 


580 
581 


.249 2642 
.248 9705 


2938 
2937 


50 
40 




8 2300 2352 
9 ' 2655 2646 




30 
40 
50 


3380 
3823 
4266 


443 
443 
443 


7228 
7031 
6834 


197 
197 
197 


7060 
7640 
8221 


581 
580 
581 


.248 6769 
.248 3833 
.248 0897 


2 936 
2936 
2936 


30 
20 
10 




1 

2 


2930 

293 
586 








443 




197 




581 




2 935 






3 


879 


59 





0.406 4709 




0.913 6637 




0.444 8802 




2.247 7962 







1 


4 


1172 




10 
20 
30 


5152 
5595 
6038 


443 
443 
443 


6440 
6243 
6046 


197 
197 
197 


9383 
9963 
0.445 0544 


581 
580 
581 


.247 5028 
.247 2095 
.246 9162 


2 934 
2933 
2933 


50 
40 
30 




5 
6 

7 
8 


1465 
1758 
2051 
2344 




40 


6481 


443 


5849 


197 


1125 


581 


.246 6230 


2 932 


20 




9 


2637 




50 


6924 


443 


5652 


197 


1706 


581 


.246 3299 


2 931 


10 














442 




197 




581 




2 931 










60 





0.406 7366 




0.913 5455 




0.445 2287 




2.246 0368 


















Cosine 


Biff 


Sine 


DifT 


Cotangent 


Diff. 


Tangent 


Diff 


" 


' 


Proportional Parts 



66 0' 



SINES, COSINES, TANGENTS AND COTANGENTS 
24 0' 



145 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proport 


lonal Parts 








0.406 7366 




0.913 5465 




0.445 2287 




2 246 0368 







60 








10 
20 


7809 
8252 


443 
443 


5257 
5060 


198 
197 


2868 
3449 


581 
581 


245 7438 
245 4508 


2 930 
2930 


50 
40 




Sine 




30 


8695 


443 


4863 


197 


4030 


581 


.245 1579 


2929 


30 




442 


443 




40 


9138 


443 


4666 


197 


4611 


581 


.244 8651 


2 928 


20 




1 44 


2 44 3 




50 


9581 


443 
443 


4468 


198 
197 


5192 


581 
581 


244 5723 


2 928 
2927 


10 




2 88 
3 132 


4 88 6 
h 132 9 


1 



10 


407 0024 
0466 


442 


0.913 4271 
4074 


197 


445 6773 
6354 


581 


2 244 2796 
.243 9870 


2926 



50 


69 


4 176 
5 221 
6 265 


8 177 2 
221 5 
2 205 8 




20 


0909 


443 


3876 


198 


6935 


581 


.243 6944 


2 926 


40 




7 309 


4 310 1 




30 
40 


1352 
1795 


443 
443 


3679 
3482 


197 
197 


7516 
8097 


581 
581 


.243 4019 
.243 1094 


2925 
2925 


30 
20 




8 353 
9 397 


6 354 1 
8 398 7 




50 


2238 


443 


3284 


198 


8678 


581 


.242 8170 


2 924 


10 














443 




197 




582 




2923 










2 



10 


0.407 2681 
3123 


442 


0.913 3087 
2889 


198 


0.445 9260 
9841 


581 


2.242 6247 
.242 2325 


2922 



50 


68 


Cosine 




20 


3566 


443 


2692 


197 


0.446 0422 


581 


.241 9403 


2 922 


40 




197 


198 199 




30 
40 


4009 
4452 


443 
443 


2494 
2297 


198 
197 


1003 
1585 


581 
582 


.241 6481 
241 3561 


2 922 
2920 


30 
20 




1 19 7 

2 39 4 
3 59 1 


19 8 19 9 
39 6 39 8 
59 4 59 7 




50 


4894 


442 


2099 


198 


2166 


581 


.241 0641 


2 920 


10 




4 78 8 


79 2 79 6 








443 




197 




581 




2 920 






5 98 5 


99 99 5 


3 





0.407 6337 




0.913 1902 




446 2747 




2 240 7721 







67 


6 118 '2 


118 8 119 4 




10 
20 


5780 
6223 


443 
443 
442 


1704 
1506 


198 
198 
197 


3329 
3910 


582 
581 
582 


.240 4802 
.240 1884 


2 919 
2918 
2 917 


50 
40 




7 137 9 
8 157 b 
9 177 3 


138 6 139 3 
158 4 159 2 
178 2 179 1 




30 


6665 




1309 




4492 




.239 8967 




30 










40 


7108 


443 


1111 


198 


5073 


581 


.239 6050 


2 917 


20 










50 


7551 


443 


0913 


198 


5655 


582 


.239 3134 


2 916 


10 














442 




197 




581 




2 916 






Taneent 


4 



10 
20 
30 


0.407 7993 
8436 
8879 
9321 


443 
443 
442 


0.913 0716 
0518 
0320 
0123 


198 
198 
197 


0.446 6236 
6818 
7399 
7981 


582 
581 
582 


2.239 0218 
.238 7303 
238 4389 
.238 1475 


2915 
2914 
2914 



50 
40 
30 


56 


581 

1 58 1 
2 110 2 
3 174 3 


582 583 

58 2 58 3 
lib 1 116 6 
174 6 174 9 




40 


9764 


443 


0.912 9925 


198 


8562 


581 


.237 8562 


2 913 


20 




4 23J 4 


232 8 233 2 




50 


0.408 0206 


442 
443 


9727 


198 
198 


9144 


582 
582 


.237 5649 


2913 
2911 


10 




5 290 5 
6 348 


291 291 5 
349 2 349 8 


5 



10 


0.408 0649 
1092 


443 


0.912 9529 
9331 


198 


446 9726 
0.447 0307 


581 


2.237 2738 
.236 9826 


2912 



50 


55 


7 400 7 
8 464 8 
9 522 9 


407 4 408 1 
465 6 466 4 
523 8 524 7 




20 


1534 


442 


9133 


198 


0889 


582 


.236 6916 


2 910 


40 










30 


1977 


443 


8936 


197 


1471 


582 


.236 4006 


2 910 


30 










40 
50 


2419 
2862 


442 
443 


8738 
8540 


198 
198 


2053 
2634 


582 
581 


.236 1097 
.235 8188 


2909 
2909 


20 
10 




Cotangent 








443 




198 




582 




2908 






2930 


2920 


6 



10 


0.408 3305 
3747 


442 


0.912 8342 
8144 


198 


0.447 3216 
3798 


582 


2.235 5280 
235 2373 


2907 



50 


54 


1 293 292 

2 586 584 




20 
30 
40 
50 


4190 
4632 
5075 
5517 


443 
442 
443 
442 


7946 
7748 
7550 
7352 


198 
198 
198 
198 


4380 
4962 
5544 
6126 


582 
582 
582 
582 


.234 9466 
.234 6560 
.234 3654 
.234 0749 


2 907 
2906 
2906 
2905 


40 
30 
20 
10 




3 879 876 
4 1172 1168 
5 1465 1460 
fi 1758 1752 
7 2051 2044 








443 




198 




582 




2904 






8 2344 


2336 


7 





0.408 5960 




0.912 7164 




0.447 6708 




2.233 7845 







53 


9 2637 


2628 




10 
20 
30 
40 


6402 
6845 
7287 
7730 


442 
443 
442 
443 


6955 
6757 
6559 
6361 


199 
198 
198 
198 


7290 
7872 
8454 
9036 


582 
582 
582 
582 


.233 4941 
.233 2038 
.232 9136 
.232 6234 


2 904 
2903 
2902 
2902 


50 
40 
30 
20 




2910 

1 291 

2 582 
3 873 


2900 

290 
580 
870 




50 


8172 


442 


6163 


198 


9618 


582 


.232 3333 


2 901 


10 




4 1164 


1160 








443 




198 




582 




2 900 






5 1455 


1450 


8 



10 
20 


0.408 8615 
9057 
9499 


442 
442 


0.912 5966 
5766 
5568 


199 
198 


0.4480200 
0782 
1364 


582 
582 


2.232 0433 
.231 7533 
.231 4634 


2900 
2899 



50 
40 


52 


6 1746 1740 
7 2037 2030 
8 2328 2320 
9 2619 2610 




30 


9942 


443 


5370 


198 


1946 


582 


.231 1735 


2 899 


30 










40 


0.409 0384 


442 


5172 


198 


2529 


583 


.230 8837 


2898 


20 






2890 




50 


0827 


443 
442 


4973 


199 
198 


3111 


582 
582 


.230 5940 


2 897 
2897 


10 




2 


289 
578 


9 



10 
20 


0.409 1269 
1711 
2154 


442 
443 


0.912 4776 
4577 
4378 


198 
199 


0.448 3693 
4275 
4858 


582 
583 


2.2303043 
.230 0147 
.229 7252 


2896 
2895 



50 
40 


51 


3 
4 
5 
6 


867 
1156 
1445 
1734 




30 
40 
50 


2596 
3038 
3481 


442 
442 
443 


4180 
3981 
3783 


198 
199 
198 


5440 
6022 
6605 


582 
582 
583 


.229 4357 
.229 1462 
.228 8569 


2895 
2895 
2893 


30 
20 
10 




7 
8 
9 


2023 
2312 
2601 








442 




199 




582 




2 893 










10 





0.409 3923 




0.912 3684 




0.448 7187 




2.228 5676 







50 










Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



65 60' 



146 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
24 10' 



' 


" 


Sine 


DifT 


Cosine 


Diff. 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 


10 





0.409 3923 




0.912 3584 




0.448 7187 




2.228 5676 







60 








10 


4365 


442 


3386 


198 


7770 


583 


.228 2784 


2892 


50 




Sine 




20 
30 
40 


4808 
5250 
5692 


443 
442 
442 


3187 
2989 
2790 


199 
198 
199 


8352 
8935 
9517 


582 
583 
582 


.227 9892 
.227 7001 
.2274110 


2 892 
2891 
2891 


40 
30 
20 




441 

1 44 1 

2 88 2 


442 443 

44 2 44 3 

88 4 88 6 




50 


6135 


443 
442 


2592 


198 
199 


0.449 0100 


583 
582 


.227 1221 


2889 
2890 


10 




3 132 3 
4 176 4 


132 6 132 9 
176 8 177 2 


11 



10 
20 


0.409 6577 
7019 
7461 


442 
442 


0.912 2393 
2195 
1996 


198 
199 


0.449 0682 
1265 
1847 


583 
582 


2.226 8331 
.226 5443 
.226 2555 


2888 
2888 



50 
40 


49 


5 220 5 
G 264 6 

7 308 7 
8 352 8 


211 221 5 
265 2 265 8 
309 4 310 1 
353 6 354 4 




30 


7904 


443 


1797 


199 


2430 


583 


.225 9667 


2888 


30 




9 396 9 


397 8 398 7 




40 


8346 


442 


1599 


198 


3013 


583 


.225 6781 


2886 


20 










50 


8788 


442 


1400 


199 


3595 


582 


.225 3895 


2886 


10 














442 




199 




583 




2886 










12 





0.409 9230 




0.912 1201 




0.449 4178 




2.225 1009 







48 


Cosine 




10 


9673 


443 


1002 


199 


4761 


583 


.224 8124 


2 885 


50 




198 


199 200 




20 


0.4100115 


442 


0804 


198 


5344 


583 


.224 5240 


2884 


40 




1 19 8 


19 9 20 




30 
40 
50 


0557 
0999 
1441 


442 
442 
442 
442 


0605 
0406 
0207 


199 
199 
199 
199 


5927 
6509 
7092 


583 
582 
583 
583 


.224 2356 
.223 9473 
.223 6591 


2884 
2883 
2882 
2882 


30 
20 
10 




2 39 6 
3 59 4 
4 79 2 
5 99 


39 8 40 
59 7 60 
79 6 80 
99 5 100 


























6 118 8 


119 4 120 


13 





0.410 1883 




912 0008 




0.449 7675 




2.223 3709 







47 


7 138 6 


139 3 140 




10 
20 


2326 
2768 


443 
442 


0.911 9809 
9611 


199 
198 


8258 
8841 


583 
583 


.223 0828 
.222 7948 


2 881 
2880 


50 
40 




8 158 4 

9 178 2 


159 2 160 
179 1 180 




30 


3210 


442 


9412 


199 


9424 


583 


222 5068 


2880 


30 










40 


3652 


442 


9213 


199 


0.450 0007 


583 


.222 2189 


2 879 


20 










50 


4094 


442 
442 


9014 


199 
199 


0590 


583 
583 


.221 9310 


2879 
2878 


10 




Tangent 


14 





0.410 4536 




0.911 8815 




0.460 1173 




2.221 6432 







46 


582 


583 584 




10 

20 
30 


4978 
5420 
5862 


442 
442 
442 


8616 
8417 
8218 


199 
199 
199 


1756 
2339 
2922 


583 
583 
583 


.221 3555 
.221 0678 
.220 7802 


2877 
2877 
2876 


50 
40 
30 




1 58 2 
2 116 4 
3 174 6 

4 232 8 


58 3 58 4 
116 6 116 8 
174 9 175 2 
233 2 233 b 




40 


6304 


442 


8019 


199 


3505 


583 


.220 4926 


2876 


20 




5 291 


291 5 292 




50 


6746 


442 
443 


7820 


199 
200 


4088 


583 
584 


.220 2051 


2 875 
2874 


10 




6 349 2 
7 407 4 


349 8 350 4 
108 1 408 8 


16 



10 


0.410 7189 
7631 


442 


0.911 7620 
7421 


199 


0.450 4672 
5255 


583 


2 219 9177 
.219 6303 


2874 



50 


45 


8 465 6 
9 523 8 


466 4 467 2 
521 7 525 6 




20 


8073 


442 


7222 


199 


5838 


583 


.219 3430 


2 873 


40 










30 


8515 


442 


7023 


199 


6421 


583 


.219 0558 


2 872 


30 










40 
50 


8957 
9399 


442 
442 
442 


6824 
6625 


199 
199 
200 


7005 
7588 


584 
583 
583 


.218 7686 
.218 4815 


2872 
2871 
2871 


20 
10 




Cotangent 

^ 2890 2880 


16 



10 
20 


0.410 9841 
0.411 0283 
0724 


442 

441 


0.911 6425 
6226 
6027 


199 
199 


0.460 8171 
8755 
9338 


584 
583 


2.218 1944 
.217 9074 
.217 6205 


2870 
2869 



50 
40 


44 


1 289 288 
2 578 576 
3 867 864 
4 1156 1152 




30 


1166 


442 


5827 


200 


9921 


583 


.217 3336 


2869 


30 




5 144. r 


1440 




40 
50 


1608 
2050 


442 
442 
442 


5628 
5429 


199 
199 
200 


0.451 0505 
1088 


584 
583 
584 


.217 0468 
.216 7600 


2868 
2868 
2867 


20 
10 




6 1734 1728 
7 2023 2016 
8 2312 2304 
9 2601 2392 


17 





411 2492 




0.911 6229 




451 1672 




2.216 4733 







43 








10 


2934 


442 


5030 


199 


2255 


583 


.216 1867 


2 866 


50 




2870 2860 




20 
30 
40 
50 


3376 
3818 
4260 
4702 


442 
442 
442 
442 
442 


4831 
4631 
4432 
4232 


199 
200 
199 
200 
199 


2839 
3422 
4006 
4589 


584 
583 
584 
583 
584 


.215 9001 
.215 6136 
.215 3272 
.215 0408 


2866 
2865 
2864 
2864 
2863 


40 
30 
20 
10 




1 287 286 
2 574 572 
3 861 858 
4 1148 1H1 
5 1435 1430 
6 1722 1716 


18 





0.411 6144 




0.911 4033 




0.461 5173 




2.214 7545 







42 


7 2009 2002 




10 
20 


5585 
6027 


441 
442 


3833 
3634 


200 
199 


5757 
6340 


581 
583 


.214 4682 
.214 1820 


2863 
2862 


50 
40 




8 2296 2288 
9 2583 2574 




30 


6469 


442 


3434 


200 


6924 


584 


.213 8959 


2 861 


30 






2850 




40 


6911 


442 


3235 


199 


7508 


584 


.213 6098 


2 861 


20 




1 


285 




50 


7353 


442 


3035 


200 


8092 


584 


.213 3238 


2860 


10 




2 


570 








442 




200 




584 




2 859 






3 


855 


19 





0.411 7795 




0.911 2835 




0.451 8676 




2.213 0379 







41 


4 


1140 




10 
20 
30 


8236 
8678 
9120 


441 
442 
442 


2636 
2436 
2236 


199 
200 
200 


9259 
9843 
0.452 0427 


583 
584 
584 


.212 7520 
.212 4661 
.212 1804 


2859 
2859 
2857 


50 
40 
30 




5 
6 
7 
8 


1425 
1710 
1995 
2280 




40 


9562 


442 


2037 


199 


1011 


584 


.211 8947 


2857 


20 




9 


2565 




50 


0.412 0003 


441 


1837 


200 


1595 


584 


.211 6090 


2 857 


10 














442 




200 




584 




2856 










20 





0.412 0445 




0.911 1637 




0.462 2179 




2.211 3234 







40 










Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff. 


" 


' 


Proportional Parts 



65 40' 



SINES, COSINES, TANGENTS AND COTANGENTS 
24 20' 



147 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 


20 





0.412 0445 




0.911 1637 




0.452 2179 




2.211 3234 







40 








10 


0887 


442 


1437 


200 


2763 


584 


.211 0379 


2855 


50 




Sine 




20 
30 
40 


1329 
1770 
2212 


442 
441 
442 


1238 
1038 
0838 


199 
200 
200 


3347 
3931 
4515 


584 
584 
584 


.210 7525 
.210 4671 
.210 1817 


2854 
2854 
2854 


40 
30 
20 




441 

1 44 

2 88 


442 

1 44 2 

2 88 4 




50 


2654 


442 


0638 


200 


5099 


584 


.209 8964 


2853 


10 




3 132 


3 132 6 








442 




200 




584 




2852 






4 170 


4 176 8 


21 





0.412 3096 




0.911 0438 




0.452 5683 




2.209 6112 







39 


5 220 


5 221 




10 
20 


3537 
3979 


441 
442 


0238 
0038 


200 
200 


6267 
6851 


584 
584 


.209 3261 
209 0410 


2851 
2851 


50 
40 




6 264 
7 308 


6 265 2 
7 309 4 

8 3M H 




30 


4421 


442 


0.910 9838 


200 


7435 


584 


.208 7559 


2 851 


30 




9 396 9 397 8 




40 


4862 


441 


9638 


200 


8020 


585 


.208 4710 


2849 


20 










50 


5304 


442 


9438 


200 


8604 


584 


.208 1861 


2849 


10 














441 




200 




584 




2849 










22 





0.412 6745 




0.910 9238 




0.452 9188 




2.207 9012 







38 


Cosine 




10 
20 
30 


6187 
6629 
7070 


442 
442 

441 


9038 
8838 
8638 


200 
200 
200 


9772 
0.453 0357 
0941 


584 
585 
584 


.207 6164 
.207 3317 
.207 0470 


2 848 
2847 
2847 


50 
40 
30 




199 

1 I'J 9 

2 39 8 


200 201 

20 20 1 
40 40 2 




40 
50 


7512 
7953 


442 
441 
442 


8438 
8238 


200 
200 
200 


1525 
2110 


584 
585 
584 


.206 7624 
.206 4779 


2846 
2845 
2845 


20 
10 




3 59 7 
4 79 b 
5 99 5 


60 60 3 
80 80 4 
100 100 5 


23 



10 


0.412 8395 
8837 


442 


0.910 8038 
7838 


200] 


0.453 2694 
3279 


585 


2.206 1934 
.205 9090 


2844 



50 


37 


b 119 4 

7 139 3 
8 159 2 


120 120 6 
140 140 7 
160 160 8 




20 


9278 


441 


7638 


200 


3863 


584 


.205 6246 


2844 


40 




9 179 1 


180 180 9 




30 


9720 


442 


7437 


201 


4448 


585 


.205 3403 


2843 


30 










40 


0.413 0161 


441 


7237 


200 


5032 


584 


.205 0561 


2 842 


20 










50 


0603 


442 
441 


7037 


200 
200 


5617 


585 
584 


.204 7719 


2842 
2841 


10 




Tangent 


24 





413 1044 




0.910 6837 




0.453 6201 




2.204 4878 







36 


584 


585 586 




10 


1486 


442 


6636 


201 


6786 


585 


.204 2037 


2841 


50 




1 58 1 


58 5 58 6 




20 


1927 


441 


6436 


200 


7370 


584 


.203 9197 


2 840 


40 




2 lid 8 


117 117 2 




30 
40 
50 


2369 
2810 
3252 


442 
441 
442 


6236 
6035 
5835 


200 
201 
200 


7955 
8540 
9124 


585 
585 
584 


203 6358 
.203 3519 
.203 0681 


2839 
2839 
2838 


30 
20 
10 




3 175 2 
4 233 6 
5 292 
350 4 


175 5 175 8 
234 234 4 
292 5 293 
351 351 6 








441 




200 




585 




2838 






7 408 8 


409 5 410 2 


25 



10 


413 3693 
4135 


442 


0.910 5635 
5434 


201 


0.453 9709 
0.454 0294 


585 


2.202 7843 
.202 5006 


2837 



50 


35 


8 467 2 
9 525 6 


468 468 8 
526 5 527 4 




20 


4576 


441 


5234 


200 


0879 


585 


.202 2170 


2836 


40 










30 


5018 


442 


5033 


201 


1463 


584 


.201 9334 


2836 


30 










40 
50 


5459 
5900 


441 
441 
442 


4833 
4632 


200 
201 
200 


2048 
2633 


585 
585 
585 


.201 6499 
.201 3664 


2835 
2835 
2833 


20 
10 




Cotangent 

2860 2850 


26 





0.413 6342 




0.910 4432 




0.454 3218 




2.201 0831 







34 


1 286 285 




10 
20 


6783 
7225 


441 
442 


4231 
4031 


201 
200 


3803 
4388 


585 
585 


.200 7997 
.200 5165 


2834 
2832 


50 
40 




2 572 
3 858 
4 1111 


570 
855 
1110 




30 


7666 


441 


3830 


201 


4973 


585 


.200 2332 


2833 


30 




5 1 130 


1125 




40 


8107 


441 


3629 


201 


5558 


585 


.199 9501 


2831 


20 




) 17K 


1710 




50 


8549 


442 
441 


3429 


200 
201 


6143 


585 
585 


.1996670 


2831 
2830 


10 




7 2002 
8 2288 


1995 
2280 


27 





0.413 8990 




0.910 3228 




0.454 6728 




2.199 3840 







33 


9 2574 


25(>5 




10 


9431 


441 


3027 


201 


7313 


585 


199 1010 


2 830 


50 




2840 2830 




20 


9873 


442 


2827 


200 


7898 


585 


.198 8181 


2829 


40 




1 284 


283 




30 


0.414 0314 


441 


2626 


201 


8483 


585 


.198 5352 


2 829 


30 




2 5b8 560 




40 
50 


0755 
1197 


441 
442 
441 


2425 
2225 


201 
200 
201 


9068 
9653 


585 
585 
585 


.1982525 
.197 9697 


2 827 
2828 
2826 


20 
10 




3 852 819 
4 1136 1132 
5 1420 1 U5 


28 



10 


0.414 1638 
2079 


441 


0.910 2024 
1823 


201 


0.465 0238 
0824 


586 


2.197 6871 
.1974044 


2827 



50 


32 


6 1704 1698 
7 1988 1981 
8 2272 2261 




20 


2520 


441 


1622 


201 


1409 


585 


.197 1219 


2825 


40 




9 255( 


2547 




30 
40 
50 


2962 
3403 
3844 


442 
441 
441 


1421 
1220 
1020 


201 
201 
200 


1994 
2579 
3165 


585 
585 
586 


.196 8394 
.196 5570 
.196 2746 


2 825 
2824 
2824 


30 
20 
10 




1 
2 


2820 

282 
564 








441 




201 




585 




2823 






3 


846 


29 





414 4285 




0.910 0819 




0.455 3750 




2.195 9923 







31 


4 


1128 




10 


4726 


441 


0618 


201 


4335 


585 


.195 7101 


2822 


50 




5 


1410 




20 
30 


5168 
5609 


442 
441 
441 


0417 
0216 


201 
201 
201 


4921 
5506 


586 
585 
586 


.195 4279 
.195 1458 


2822 
2821 
2 821 


40 
30 




6 

7 
8 


1692 
1974 
2256 




40 


6050 




0015 




6092 




.194 8637 




20 




9 


2538 




50 


6491 


441 


909 9814 


201 


6677 


585 


.194 5817 


2820 


10 














441 




201 




586 




2 820 










30 





414 6932 




0.909 9613 




0.465 7263 




2.194 2997 







30 










Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Pioportional Parts 



65 30' 



148 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
24 30' 



' 


" 


Sine 


Diff 


Cosmo 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Paits 


30 



10 
20 


0.414 6932 

7374 
7815 


442 
441 


0.909 9613 
9412 
9211 


201 
201 


0.455 7263 

7848 
8434 


585 
586 


2.194 2997 
.1940178 
.193 7360 


2819 
2818 



50 
40 


30 


Sine 




30 


8256 


441 


9009 


202 


9019 


585 


.1934543 


2817 


30 




440 


441 442 




40 
50 


8697 
9138 


441 
441 
441 


8808 
8607 


201 
201 
201 


9605 
0.456 0190 


586 
585 
586 


.193 1725 
.1928909 


2 818 
2816 
2816 


20 
10 




1 44 

2 88 
3 132 


44 1 44 2 

88 2 88 4 
132 3 132 


31 



10 
20 


414 9579 
415 0020 
0461 


441 

441 


0.909 8406 
8205 
8004 


201 
201 


0.456 0776 
1362 
1947 


586 
585 


2 192 6093 
192 3278 
.192 0463 


2815 
2815 



50 
40 


29 


4 17b 
5 220 
6 2bl 
7 308 


170 4 176 8 
220 5 221 
264 b 265 2 
308 7 309 4 




30 
40 


0902 
1344 


441 
442 


7802 
7601 


202 
201 


2533 
3119 


586 
586 


191 7649 
.191 4836 


2 814 
2813 


30 
20 




8 352 
9 390 


352 8 353 
390 9 397 8 




50 


1785 


441 


7400 


201 


3705 


586 


.191 2023 


2 813 


10 














441 




201 




385 




2 813 










32 



10 


0.415 2226 
2667 


441 


909 7199 
6997 


202 


0.456 4290 
4876 


586 


2 190 9210 
.1906399 


2811 



50 


28 


Cosine 




20 


3108 


441 


6796 


201 


5462 


586 


.1903588 


2 811 


40 




201 


202 203 




30 
40 
50 


3549 
3990 
4431 


441 
441 
441 


6595 
6393 
6192 


201 
202 
201 


6048 
6634 
7220 


586 
586 
586 


.1900777 
.1897967 
.189 5158 


2 811 
2810 
2809 


30 
20 
10 




1 20 1 
2 41) 2 
3 00 5 
4 8(1 4 


20 2 20 3 
10 4 40 
00 6 (>() 9 

80 8 81 2 








441 




202 




586 




2 809 






5 100 5 


101 101 5 


33 



10 
20 
30 


415 4872 
5313 
5754 
6195 


441 
441 
441 


0.909 5990 
5789 
5587 
5386 


201 
202 
201 


456 7806 
8392 
8978 
9564 


586 
586 
586 


2.189 2349 
.188 9541 
.1886734 
.1883927 


2808 
2807 
2807 



50 
40 
30 


27 


t> 120 b 
7 141 7 
8 lb( 8 
9 180 l ) 


121 2 121 8 
111 i 142 1 

Ibl 102 4 
Ihl 8 182 7 




40 


6636 


441 


5184 


202 


457 0150 


586 


.188 1120 


2 807 


20 










50 


7077 


441 


4983 


201 


0736 


586 


.1878315 


2 805 


10 














440 




202 




586 




2 805 






Tangent 


34 



10 


0.415 7517 
7958 


441 


0.909 4781 
4580 


201 


457 1322 
1908 


586 


2 187 5610 
.1872705 


2805 



50 


26 


585 586 587 




20 
30 


8399 
8840 


441 
441 


4378 
4177 


202 
201 


2494 
3081 


586 
587 


.1869901 
.1867098 


2 804 
2803 


40 
30 




1 5S 5 
2 117 o 
3 17" "> 


117 2 117 4 
17") 8 170 1 




40 


9281 


441 


3975 


202 


3667 


586 


.1864295 


2 803 


20 




4 2.51 


231 4 234 8 




50 


9722 


441 
441 


3773 


202 
201 


4253 


586 
586 


.186 1493 


2 802 
2802 


10 




5 292 5 
351 


293 293 5 
351 352 2 


35 



10 


0.416 0163 
0604 


441 


0.909 3572 
3370 


202 


457 4839 
5426 


587 


2 185 8691 
185 5890 


2801 



50 


25 


7 10<> 5 

8 i I OH 
9 526 5 


410 2 410 9 

468 8 469 6 
527 4 528 3 




20 


1045 


441 


3168 


202 


6012 


586 


.1853090 


2 800 


40 










30 


1485 


440 


2966 


202 


6598 


586 


185 0290 


2 800 


30 










40 
50 


1926 
2367 


441 
441 
441 


2765 
2563 


201 
202 
202 


7185 
7771 


587 
586 
586 


.184 7491 
.1844692 


2799 
2799 
2798 


20 
10 




Cotangent 


36 



10 


0.416 2808 
3249 


441 


0.909 2361 
2159 


202 


0.467 8357 
8944 


587 


2.184 1894 
.183 9097 


2797 



50 


24 


2820 2810 

1 282 281 
2 504 5b2 




20 


3690 


441 


1957 


202 


9530 


586 


.183 6300 


2 797 


40 






813 




30 
40 
50 


4130 
4571 
5012 


440 
441 
441 
441 


1756 
1554 
1352 


201 
202 
202 
202 


0.458 0117 
0703 
1290 


587 
586 
587 
587 


.183 3504 
.1830708 
.182 7913 


2 796 
2796 
2795 
2794 


30 
20 
10 




4 1128 1121 
5 1410 1405 
b 1092 1086 
7 1974 1907 
8 2256 2248 


37 



10 
20 
30 
40 


0.416 5453 
5893 
6334 
6775 
7216 


440 
441 
441 
441 


0.909 1150 
0948 
0746 
0544 
0342 


202 
202 
202 
202 


0.458 1877 
2463 
3050 
3636 
4223 


586 
587 
586 
587 


2.182 5119 
.1822325 
.181 9532 
.181 6739 
.181 3947 


2794 
2793 
2793 
2792 



50 
40 
30 
20 


23 


9 2i38 2529 

2800 2790 

1 280 279 
2 500 558 
3 840 837 




50 


7656 


440 


0140 


202 


4810 


587 


.181 1155 


2 792 


10 




4 1120 1116 








441 




202 




587 




2 791 


































5 1401 


1395 


38 



10 
20 
30 


0.416 8097 
8538 
8978 
9419 


441 
440 
441 


0.908 9938 
9736 
9534 
9331 


202 
202 
203 


0.458 5397 
5983 
6570 
7157 


586 
587 
587 


2.180 8364 
.180 5574 
.1802784 
.1799995 


2790 
2790 
2789 



50 
40 
30 


22 


6 1680 1674 
7 1960 1953 
8 2240 2232 
9 2520 2511 




40 


9860 


441 


9129 


202 


7744 


587 

eon 


.179 7207 


2 788 
2 788 


20 






2780 




50 


0.417 0300 


440 
441 


8927 


202 


8331 


081 

587 


.179 4419 


2788 


10 




1 


278 
556 


39 



10 
20 
30 


0.417 0741 
1182 
1622 
2063 


441 
440 
441 


0.908 8726 
8523 
8320 
8118 


202 
203 
202 


0.458 8918 
9504 
0.459 0091 
0678 


586 
587 
587 


2.179 1631 
.1788845 
.1786058 
.1783273 


2786 
2787 
2785 



50 
40 
30 


21 


3 
4 
5 
6 
7 


834 
1112 
1390 
1668 
1946 




40 
50 


2503 
2944 


440 
441 


7916 
7714 


202 
202 


1265 
1852 


587 
587 


.178 0488 
.177 7703 


2 785 
2785 


20 
10 




8 
9 


2224 
2502 








441 




203 




587 




2783 










40 





0.417 3385 




0.908 7511 




0.459 2439 




2.177 4920 







20 










Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



652(X 



SINES, COSINES, TANGENTS AND COTANGENTS 
24 40' 



149 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parth 


40 





0.417 3385 




0.908 7511 




0.459 2439 




2.177 4920 







20 








10 
20 


3825 
4266 


440 

441 


7309 
7107 


202 
202 


3027 
3614 


588 
587 


.1772136 1 
.1769354 


2 784 
2782 


50 
40 




Sine 




30 


4706 


440 


6904 


203 


4201 


587 


.1766572 


2782 


30 




440 


441 




40 

sa 


5147 
5587 


441 
440 
441 


6702 
6499 


202 
203 
202 


4788 
5375 


587 
587 
587 


.1763790 
.176 1009 


2 782 
2781 
2780 


20 
10 




1 44 411 

2 88 88 2 
3 132 132 3 
4 76 170 4 


41 



10 


417 6028 
6468 


440 


0.908 6297 
6094 


203 


0.459 6962 
6550 


588 


2.176 8229 
.175 5449 


2780 



50 


19 


5 220 

6 201 


220 5 
264 




20 
30 
40 


6909 
7349 
7790 


441 
440 
441 


5892 
5689 
5487 


202 
203 
202 


7137 
7724 
8311 


587 
587 
587 


.175 2670 
.1749891 
.1747114 


2779 
2779 
2777 


40 
30 
20 




7 308 308 7 
8 352 352 8 
9 390 390 9 




50 


8230 


440 


5284 


203 


8899 


588 


.1744336 


2 778 


10 














441 




202 




587 




2 777 










42 



10 
20 
30 
40 


417 8671 
9111 
9552 
9992 
0.418 0432 


440 
441 
440 
440 


0.908 5082 
4879 
4677 
4474 
4271 


203 
202 
203 
203 


0.469 9486 
460 0073 
0661 
1248 
1836 


587 
588 
587 
588 


2.174 1669 
.173 8783 
.1736007 
.1733232 
.173 0458 


2776 
2776 
2775 
2774 



50 
40 
30 
20 


18 


Cosine 

202 203 204 

1 20 2 20 3 20 4 
2 40 4 40 b 40 8 
3 00 6 bO 9 01 2 




50 


0873 


441 


4069 


202 


2423 


587 


.172 7684 


2 774 


10 




4 80 8 


81 2 81 








440 




203 




588 




2 773 






5 101 


101 5 102 


43 



10 
20 


418 1313 
1754 
2194 


441 
440 


0.9083866 
3663 
3460 


203 
203 


0.460 3011 
3598 
4186 


587 
588 


2.172 4911 
.172 2138 
.171 9366 


2773 
2772 



50 
40 


17 


6 121 2 
7 111 4 
8 161 6 
9 181 8 


121 8 122 4 
142 1 112 8 
102 4 163 2 
182 7 183 6 




30 


2634 


440 


3258 


202 


4774 


588 


.171 6594 


2 772 


30 










40 


3075 


441 


3055 


203 


5361 


587 


.171 3824 


2 770 


20 










50 


3515 


440 
441 


2852 


203 
203 


5949 


588 
588 


.171 1053 


2 771 
2770 


10 




Tangent 


44 



10 
20 


0.418 3966 
4396 
4836 


440 
440 


0.908 2649 
2446 
2243 


203 
203 


0.460 6537 
7124 
7712 


587 
588 


2.170 8283 
.170 5514 
.1702746 


2769 
2768 



50 
40 


16 


587 

1 58 7 
2 117 4 


588 589 

58 8 58 9 
117 b 117 8 




30 


5276 


440 


2041 


202 


8300 


588 


.169 9977 


2 769 


30 




3 170 1 


176 4 176 7 




40 
50 


5717 
6157 


441 
440 
440 


1838 
1635 


203 
203 
203 


8887 
9475 


587 
588 
588 


.169 7210 
.1694443 


2767 
2767 
2766 


20 
10 




1 234 8 
5 293 5 
6 352 2 


235 2 235 6 
294 294 5 
352 8 353 4 


























7 110 9 


411 6 412 3 


45 



10 


418 6597 
7038 


441 


0.908 1432 
1229 


203 


0.461 0063 
0651 


588 


2.169 1677 
.1688911 


2766 



50 


15 


8 469 6 
9 528 3 


470 4 471 2 
529 2 530 1 




20 


7478 


440 


1026 


203 


1239 


588 


.168 6146 


2 765 


40 










30 


7918 


440 


0823 


203 


1827 


588 


.1683381 


2765 


30 










40 
50 


8358 
8799 


440 
441 


0620 
0417 


203 
203 


2415 
3003 


588 
588 


.1680617 
.167 7854 


2 764 
2763 


20 
10 




Cotangent 








440 




203 




588 




2 763 






2790 2780 


46 



10 


418 9239 
9679 


440 


0.908 0214 
0010 


204 


0.461 3691 
4179 


588 


2 167 5091 
.167 2329 


2762 



50 


14 


1 279 278 
2 558 550 




20 
30 
40 
50 


0419 0119 
0559 
1000 
1440 


440 
440 
441 
440 


907 9807 
9604 
9401 
9198 


203 
203 
203 
203 


4767 
5355 
5943 
6531 


588 
588 
588 
588 


.1669567 
.1666806 
.1664046 
.166 1286 


2 762 
2761 
2760 
2760 


40 
30 
20 
10 




3 837 834 
4 1110 1112 
5 1395 1390 
6 1674 1608 
7 1953 1940 








440 




203 




588 




2759 






8 2231 


2224 


47 





419 1880 




0.907 8996 




0.461 7119 




2.165 8627 







13 


9 2511 2502 




10 
20 
30 
40 


2320 
2760 
3200 
3641 


440 
440 
440 
441 


8791 
8588 
8385 
181 


204 
203 
203 
204 


7707 
8296 
8884 
9472 


588 
589 
588 
588 


.165 5768 
.165 3010 
.165 0252 
.1647495 


2 759 
2758 
2758 
2757 


50 
40 
30 
20 




2770 2760 

1 277 270 
2 554 552 
3 831 828 




50 


4081 


440 


7978 


203 


462 0060 


588 


.1644739 


2 756 


10 




4 1108 1104 








440 




203 




589 




2 756 






5 138.5 


1380 


48 



10 
20 


419 4521 
4961 
5401 


440 
440 


0.907 7776 
7571 
7368 


204 
203 


0.462 0649 
1237 
1825 


588 
588 


2.164 1983 
.163 9228 
.163 6473 


2755 
2755 



50 
40 


12 


6 1662 1656 
7 1939 1932 
8 2216 2208 
9 2493 2484 




30 


5841 


440 


7165 


203 


2414 


589 


.163 3719 


2 754 


30 










40 


6281 


440 


6961 


204 


3002 


588 


.163 0965 


2 754 


20 






2750 




50 


6721 


440 
440 


6758 


203 
204 


3591 


589 
588 


.162 8212 


2753 
2752 


10 




1 

2 


275 
550 


49 



10 
20 
30 


0.419 7161 
7601 
8041 
8481 


440 
440 
440 


0.907 6564 
6351 
6147 
5944 


203 
204 
203 


0.462 4179 
4768 
5356 
5945 


589 
588 
589 


2 162 6460 
.162 2708 
.161 9957 
.161 7206 


2752 
2751 
2751 



50 
40 
30 


11 


3 
4 
5 
6 

7 


825 
1100 
1375 
1050 
1925 




40 
50 


8921 
9361 


440 
440 


5740 
5537 


204 
203 


6533 
7122 


588 
589 


.161 4456 
.161 1707 


2750 
2749 


20 
10 




8 
9 


2200 
2475 








440 




204 




588 




2 749 










50 





0.419 9801 




0.907 6333 




0.462 7710 




2.160 8958 







10 










Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Paits 



65 10' 



150 



TEN SEC ND NATURAL TRIGONOMETRIC FUNCTIONS 
24 60' 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff. 


Cotangent 


Diff 






Proportional Parts 


60 





0.419 9801 




0.907 6333 




0.462 7710 




2.160 8958 







10 








10 
20 


0.420 0241 
0681 


440 
440 


5129 
4926 


204 
203 


8299 
8888 


589 
589 


.1606209 
.1603462 


2 749 
2747 


50 
40 




Sine 




30 


1121 


440 


4722 


204 


9477 


589 


.1600714 


2748 


30 




439 


440 




40 


1561 


440 


4518 


204 


0.463 0065 


588 


.159 7968 


2 746 


20 




1 43 9 44 




50 


2001 


440 
440 


4315 


203 
204 


0654 


589 
589 


.159 5222 


2 746 
2746 


10 




2 87 8 88 
3 131 7 132 


51 



10 


0.420 2441 
2881 


440 


0.907 4111 
3907 


204 


0.463 1243 
1832 


589 


2.169 2476 
.158 9731 


2745 




50 


9 


4 175 6 176 
5 219 5 220 
6 263 4 264 




20 


3321 


440 


3703 


204 


2420 


588 


.1586987 


2 744 


40 




7 307 3 308 




30 
40 


3761 
4201 


440 
440 


3500 
3296 


203 
204 


3009 
3598 


589 
589 


.1584243 
.158 1500 


2744 
2743 


30 
20 




8 351 2 352 
9 395.1 3960 




50 


4641 


440 


3092 


204 


4187 


589 


.157 8758 


2 742 


10 














439 




204 




589 




2743 










52 



10 
20 


0.4206080 
5520 
5960 


440 
440 


0.9072888 
2684 
2480 


204 
204 


0.463 4776 
5365 
5954 


589 
589 


2.167 6016 
.1573274 
.157 0533 


2741 
2741 



50 
40 


8 


Cosine 

[203 204 205 




30 
40 
50 


6400 
6840 
7280 


440 
440 
440 


2276 
2072 
1868 


204 
204 
204 


6543 
7132 
7721 


589 
589 
589 


.156 7793 
.156 5053 
.156 2314 


2740 
2740 
2739 


30 
20 
10 




1 20 3 

2 40 6 
3 60 9 
4 81 2 


20 4 20 5 
40 8 41 
61 2 61 5 
81 6 82 








439 




203 




589 




2739 


































5 101 5 


102 102 5 


63 



10 
20 
30 


0.420 7719 
8159 
8599 
9039 


440 
440 
440 


0.907 1665 
1460 
1256 

1052 


205 
204 
204 


0.463 8310 
8899 
9489 
0.464 0078 


589 
590 
589 


2.166 9675 
.155 6837 
.155 4100 
.155 1363 


2738 
2737 
2737 



50 
40 
30 


7 


6 121 8 
7 142 1 
8 1M 4 

9 182 7 


122 4 123 
142 8 143 5 
163 2 164 
183 6 184 5 




40 


9479 


440 


0848 


204 


0667 


589 


.1548627 


2 736 


20 










50 


9918 


439 


0644 


204 


1256 


589 


.1545891 


2736 


10 














440 




204 




589 




2735 






Taneent 


64 



10 
20 
30 


0.421 0358 
0798 
1238 
1677 


440 
440 
439 


0.9070440 
0236 
0032 
0.906 9828 


204 
204 
204 


0.464 1845 
2435 
3024 
3613 


590 
589 
589 


2.164 3156 
.154 0421 
.153 7687 
.1534954 


2735 
2734 
2733 



50 
40 
30 


6 


588 

1 58 8 
2 117 ft 
3 176 4 


589 590 

58 9 59 
117 8 118 
176 7 177 




40 


2117 


440 


9623 


205 


4203 


590 


.153 2221 


2 733 


20 




4 235 2 


235 6 236 




50 


2557 


440 
439 


9419 


204 
204 


4792 


589 
590 


.152 9489 


2 732 
2732 


10 




5 294 
6 352 8 


294 5 295 
353 4 354 


65 



10 


0.421 2996 
3436 


440 


0.906 9215 
9011 


204 


0.464 5382 
5971 


589 


2.152 6757 
.152 4026 


2731 



50 


5 


7 411 6 
8 170 4 
9 529 2 


412 3 413 
471 2 472 
530.1 531 




20 


3876 


440 


8806 


205 


6561 


590 


.152 1295 


2 731 


40 










30 


4315 


439 


8602 


204 


7150 


589 


.151 8565 


2 730 


30 










40 
50 


4755 
5195 


440 
440 


8398 
8193 


204 
205 


7740 
8329 


590 
589 


.151 5836 
.151 3107 


2729 
2729 


20 
10 




Cotangent 








439 




204 




590 




2729 






2750 2740 


56 



10 


0.421 5634 
6074 


440 


0.906 7989 
7785 


204 


0.464 8919 
9508 


589 


2.151 0378 
.150 7651 


2727 



50 


4 


1 275 274 
2 550 548 




20 
30 
40 
50 


6514 
6953 
7393 
7832 


440 
439 
440 
439 


7580 
7376 
7171 
6967 


205 
204 
205 
204 


0.465 0098 
0688 
1277 
1867 


590 
590 
589 
590 


.1504924 
.1502197 
.149 9471 
.149 6745 


2727 
2727 
2726 
2726 


40 
30 
20 
10 




3 825 822 
4 1100 1096 
5 1375 1370 
(i 1650 1644 
7 1925 1918 








440 




205 




590 




2 724 






8 220( 


2192 


67 





0.421 8272 




0.906 6762 




0.465 2457 




2.149 4021 







3 


9 2475 2466 




10 
20 


8712 
9151 


440 
439 


6558 
6353 


204 
205 


3046 
3636 


589 
590 


.149 1296 
.148 8572 


2 725 
2724 


50 
40 




2730 2720 




30 


9591 


440 

A3Q 


6149 


204 

OAC 


4226 


590 


.148 5849 


2723 


30 




1 273 272 
2 546 544 




40 


0.422 0030 


4o9 


5944 


&V9 


4816 


590 


.1483127 


*a' 


20 




3 819 816 




50 


0470 


440 


5740 


204 


5406 


590 


.1480405 


2 722 


10 




4 1092 1088 








439 




205 




590 




2722 






5 1305 1360 


58 



10 
20 


0.422 0909 
1349 
1788 


440 
439 


0.906 5535 
5330 
5126 


205 
204 


0.465 5996 
6586 
7176 


590 
590 


2.147 7683 
.1474962 
.147 2242 


2721 
2720 



50 
40 


2 


6 1638 1632 
7 1911 1904 
8 2184 2176 
9 2457 2448 




30 


2228 


440 


4921 


205 


7766 


590 


.1469522 


2 720 


30 










40 


2667 


439 


4716 


205 


8356 


590 


.1466803 


2 719 


20 






2710 




50 


3107 


440 
439 


4512 


204 
205 


8946 


590 
590 


.146 4084 


2719 
2718 


10 




1 

2 


271 
542 


59 



10 
20 


0.422 3546 
3986 
4425 


440 
439 


0.9064307 
4102 
3897 


205 
205 


0.465 9536 
0.466 0126 
0716 


590 
590 


2.146 1366 
.145 8648 
.145 5931 


2718 
2717 



50 
40 


1 


3 
4 
5 
6 


813 
1084 
1355 
1626 




30 
40 
50 


4864 
5304 
5743 


439 
440 
439 


3692 
3488 
3283 


205 
204 
205 


1306 
1896 
2486 


590 
590 
590 


.145 3215 
.145 0499 
.144 7784 


2 716 
2716 
2715 


30 
20 
10 




7 
8 
9 


1897 
2168 
2439 








440 




205 




591 




2715 










60 





0.422 6183 




0.906 3078 




0.466 3077 




2.144 6069 


















Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff. 


Tangent 


Diff. 





' 


Proportional Parts 



65 0' 



SINES, COSINES, TANGENTS AND COTANGENTS 
25 0' 



151 



' 


" 


Sine 


Diff 


CoBine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 






10 
20 


0.422 6183 
6622 
7061 


439 
439 


0.906 3078 
2873 
2668 


205 
205 


0.466 3077 
3667 
4257 


590 
590 


2.144 6069 
.1442355 
.143 9641 


2714 
2714 



50 
40 


60 


Sine 




30 


7501 


440 


2463 


205 


4847 


590 


.143 6928 


2 713 


30 




438 439 440 




40 
50 


7940 
8379 


439 
439 
440 


2258 
2053 


205 
205 
205 


5438 
6028 


591 
590 
590 


.143 4216 
.143 1504 


2 712 
2712 
2711 


20 
10 




1 43 8 
2 87 6 
3 131 4 


43 9 44 
87 8 88 
131 7 132 


1 



10 
20 
30 
40 


0.422 8819 
9258 
9697 
0.423 0137 
0576 


439 
439 
440 
439 


0.9061848 
1643 
1438 
1233 
1028 


205 
205 
205 
205 


0.466 6618 
7209 
7799 
8390 
8980 


591 
590 
591 
590 


2.142 8793 
.142 6082 
.142 3372 
.142 0662 
.141 7953 


2711 
2710 
2710 
2709 

t tMt 



50 
40 
30 
20 


59 


4 175 2 
5 219 
6 262 8 
7 306 6 
8 350 4 
9 394 2 


175 6 176 
219 5 220 
263 4 264 
307 3 308 
351 2 352 
395 1 396 




50 


1015 


439 
440 


0823 


205 
205 


9571 


591 
590 


.141 5245 


L TUB 

2708 


10 








2 



10 
20 
30 
40 
50 


0.423 1465 
1894 
2333 
2772 
3212 
3651 


439 
439 
439 
440 
439 
439 


0.906 0618 
0412 
0207 
0002 
0.905 9797 
9592 


206 
205 
205 
205 
205 
206 


0.467 0161 
0752 
1342 
1933 
2524 
3114 


591 
590 
591 
591 
590 
591 


2.141 2637 
.1409829 
.140 7122 
.140 4416 
.140 1710 
.139 9005 


2708 
2707 
2706 
2706 
2705 
2704 



50 
40 
30 
20 
10 


58 


Cosine 

205 206 207 

1 20 5 20 6 20 7 
2 41 41 2 41 4 
3 61 5 61 8 62 1 
4 82 82 4 82 8 
5 102 5 103 103 5 


3 



10 
20 
30 


0.4234090 
4529 
4968 
5408 


439 
439 
440 


906 9386 
9181 
8976 
8770 


205 
205 
206 


0.467 3706 
4296 
4887 
5477 


591 
591 
590 


2.139 6301 
.139 3597 
.139 0893 
.138 8190 


2704 
2704 
2703 



50 
40 
30 


67 


6 123 
7 113 5 
8 154 
9 184 5 


123 6 124 2 
144 2 144 9 
164 8 165 6 
185 4 186 3 




40 


5847 


439 


8565 


205 


6068 


591 


.138 5488 


2 702 


20 










50 


6286 


439 
439 


8360 


205 
206 


6659 


591 
591 


.138 2786 


2 702 
2701 


10 




Tancrent 


4 



10 
20 


0.423 6726 
7164 
7603 


439 
439 


0.905 8154 
7949 
7744 


205 
205 


0.467 7260 
7841 
8432 


591 
591 


2.138 0086 
.137 7384 
.1374684 


2701 
2700 



50 
40 


56 


590 

1 I 59 

2 1118 


591 592 

59 I 59 2 
118 2 118 4 




30 


8043 


440 


7538 


206 


9023 


591 


.137 1985 


2 699 


30 




3 177 


177 3 177 6 




40 


8482 


439 


7333 


205 


9614 


591 


.1369286 


2 699 


20 




1 236 


236 4 236 8 




50 


8921 


439 
439 


7127 


206 
205 


0.468 0205 


591 
591 


.1366587 


2 699 
2697 


10 




5 295 
6 354 


295 5 296 
354 6 355 2 


5 



10 


0.423 9360 
9799 


439 


0.905 6922 
6716 


206 


0.468 0796 
1387 


591 


2.136 3890 
136 1192 


2698 



50 


66 


7 413 
8 472 
9 531 


413 7 414 4 
472 8 473 6 
531 9 532 8 




20 


0.424 0238 


439 


6510 


206 


1978 


591 


.135 8495 


2 697 


40 










30 


0677 


439 


6305 


205 


2569 


591 


.135 5799 


2 696 


30 










40 
50 


1116 

1555 


439 
439 


6099 
5894 


2% 
205 


3160 
3751 


591 
591 


.135 3104 
.135 0409 


2 695 
2695 


20 
10 




Cotangent 








439 




206 




591 




2 695 






2720 


2710 


6 



10 


0.424 1994 
2433 


439 


0.906 5688 
5482 


206 


0.468 4342 
4934 


592 


2.134 7714 
.134 5020 


2694 



50 


64 


1 272 
'2 54 1 


271 

542 




20 
30 
40 
50 


2872 
3311 
3750 
4189 


439 
439 
439 
439 


5277 
5071 
4865 
4659 


205 
206 
206 
206 


5525 
6116 
6707 
7299 


591 
591 
591 
592 


.1342327 
.133 9634 
.133 6942 
.133 4250 


2 693 
2693 
2692 
2692 


40 
30 
20 
10 




3 81b 813 
4 1088 1084 
5 1360 1355 
6 1632 1626 
7 1904 1897 








439 




205 




591 




2 691 






8 217( 


2168 


7 





0.424 4628 




0.905 4464 




0.468 7890 




2.133 1559 







63 


9 2448 2439 




10 
20 
30 
40 


5067 
5506 
5945 
6384 


439 
439 
439 
439 


4248 
4042 
3836 
3630 


206 
206 
206 
206 


8481 
9073 
9664 
0.469 0256 


591 
592 
591 
592 


.132 8868 
.132 6178 
.132 3489 
.132 0800 


2 691 
2690 
2689 
2689 


50 
40 
30 
20 




2700 2690 

1 270 269 
2 540 538 
3 810 807 




50 


6823 


439 


3424 


206 


0847 


591 


.1318111 


2 689 


10 




4 1080 1076 








439 




205 




592 




2 688 






5 1350 1345 


8 



10 
20 
30 


0.424 7262 
7701 
8140 
8579 


439 
439 
439 


0.905 3219 
3013 
2807 
2601 


206 
206 
206 


0.469 1439 
2030 
2622 
3213 


591 
592 
591 


2.131 5423 
.131 2736 
.131 0049 
.1307363 


2687 
2687 
2686 



50 
40 
30 


52 


6 1620 1614 
7 1890 1883 
8 2160 2152 
9 2430 2421 




40 


9017 


438 


2395 


206 


3805 


592 


.1304678 


2 685 


20 






2680 




50 


9456 


439 
439 


2189 


206 
206 


4397 


592 
591 


.130 1993 


2 685 
2685 


10 




1 

2 


268 
536 


9 



10 
20 


0.424 9895 
0.425 0334 
0773 


439 
439 


0.905 1983 
1777 
1571 


206 
206 


0.469 4988 
5580 
6172 


592 
592 


2.129 9308 
.129 6624 
129 3941 


2684 
2683 



50 
40 


51 


3 
4 
5 
6 


804 
1072 
1340 
1608 




30 


1212 


439 


1364 


207 


6763 


591 


.129 1258 


2 683 


30 




7 


1876 




40 
50 


1651 
2089 


439 
438 


1158 
0952 


206 
206 


7355 
7947 


592 
592 


.1288576 
.1285894 


2 682 
2682 


20 
10 




8 
9 


2144 
2412 








439 




206 




592 




2 681 










10 





0.425 2628 




0.905 0746 




0.469 8539 




2.128 3213 







60 










Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



64 50' 



152 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
25 10' 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Pioportional Parts 


10 





426 2528 




0.905 0746 




0.469 8539 




2.128 3213 







50 






10 
20 


2967 
3406 


439 
439 


0540 
0334 


206 
206 


9131 
9722 


592 
591 


.1280532 
.127 7852 


2 681 
2680 


50 
40 




Sine 




30 


3844 


438 


0127 


207 


0.470 0314 


592 


.127 5173 


2 679 


30 




438 439 




40 


4283 


439 


0.904 9921 


206 


0906 


592 


.127 2494 


2 679 


20 




1 


43 8 43 9 




50 


4722 


439 
439 


9715 


206 
206 


1498 


592 
592 


.1269815 


2679 
2678 


10 




2 
3 


87 6 87 8 
131 4 131 7 


11 



10 


425 6161 
5599 


438 


0.9049509 
9302 


207 


0.470 2090 
2682 


592 


2.126 7137 
.126 4460 


2677 



50 


49 


4 
5 
6 


175 2 175 6 
219 219 5 
262 8 263 4 




20 


6038 


439 


9096 


206 


3274 


592 


.126 1783 


2677 


40 




7 


306 6 307 3 




30 
40 


6477 
6916 


439 
439 


8890 
8683 


206 
207 


3866 
4459 


592 
593 


.125 9107 
.125 6431 


2 676 
2676 


30 
20 




8 
9 


350 4 351 2 
394 2 395 1 




50 


7354 


438 


8477 


206 


5051 


592 


.125 3756 


2675 


10 












439 




206 




592 




2 674 








12 



10 


425 7793 
8232 


439 


0.904 8271 
8064 


207 


0.470 6643 
6235 


592 


2.125 1082 
124 8408 


2674 



50 


48 


Cosine 




20 


8670 


438 


7858 


206 


6827 


592 


.124 5734 


2674 


40 




206 207 208 




30 
40 
50 


9109 
9548 
9986 


439 
439 
438 


7651 
7445 
7238 


207 
206 
207 


7419 
8012 
8604 


592 
593 
592 


.1243061 
.124 0389 
.123 7717 


2673 
2672 
2672 


30 
20 
10 




1 20 f> 20 7 20 8 
2 41 2 41 4 41 b 
3 01 8 62 1 62 4 

4 82 4 82 8 83 2 








439 




206 




592 




2671 






5 103 103 5 104 


13 





0.426 0425 




0.904 7032 




0.470 9196 




2.123 5046 







47 


6 12.1 6 124 2 124 8 




10 
20 
30 


0863 
1302 
1741 


438 
439 
439 


6825 
6618 
6412 


207 
207 
206 


9789 
0.471 0381 
0973 


593 
592 
592 


.123 2375 
.122 9705 
.122 7036 


2 671 
2670 
2669 


50 
40 
30 




7 141 2 144 5) 14, r > b 
8 101 8 Ib5 b 166 4 
9 185 \ 186 3 187 2 




40 


2179 


438 


6205 


207 


1566 


593 


.122 4367 


2 669 


20 








50 


2618 


439 


5999 


206 


2158 


592 


.122 1698 


2 669 


10 












438 




207 




593 




2668 






Tanzent 


14 



10 
20 
30 


426 3066 
3495 
3933 
4372 


439 
438 
439 


0.904 6792 

5585 
5379 
5172 


207 
206 
207 


0.471 2751 
3343 
3936 
4528 


592 
593 
592 


2.121 9030 
.121 6363 
.121 3696 
.121 1030 


2667 
2667 
2666 



50 
40 
30 


46 


1 

2 

3 


591 592 

59 1 59 2 
11H 2 118 4 
177 3 177 6 




40 


4810 


438 


4965 


207 


5121 


593 


.120 8364 


2 666 


20 




4 


236 4 236 8 




50 


5249 


439 


4758 


207 


5714 


593 


.120 5699 


2 665 


10 




5 


295 5 296 








438 




207 




592 




2665 






6 


354 355 2 


15 



10 


0.426 5687 
6126 


439 


0.904 4661 
4345 


206 


0.471 6306 
6899 


593 


2.120 3034 
.120 0370 


2664 



50 


45 


7 
8 
9 


413 7 414 4 
472 8 473 6 
531 9 532 8 




20 


6564 


438 


4138 


207 


7492 


593 


.119 7706 


2664 


40 








30 


7003 


439 


3931 


207 


8084 


592 


.1195043 


2663 


30 




593 594 




40 


7441 


438 


3724 


207 


8677 


593 


.1192381 


2 662 


20 




1 


59 3 59 4 




50 


7880 


439 
438 


3517 


207 
207 


9270 


593 
593 


.1189719 


2662 
2662 


10 




2 
3 


118 6 118 8 
177 9 178 2 


16 



10 


426 8318 

8757 


439 


0.904 3310 
3103 


207 


0.471 9863 
0.472 0455 


592 


2.118 7057 
.1184397 


2660 



50 


44 


> * 

6 


237 2 237 6 
296 5 297 
355 8 356 4 




20 
30 
40 


9195 
9633 
427 0072 


438 
438 
439 


2896 
2689 
2482 


207 
207 
207 


1048 
1641 
2234 


593 
593 
593 


.118 1736 
.1179077 
.1176417 


2661 
2659 
2660 


40 
30 
20 




7 
8 
9 


415 1 415 8 
47 t \ 475 2 

533 7 534 6 




50 


0510 


438 


2275 


207 


2827 


593 


.1173759 


2658 


10 












439 




207 




593 




2 658 








17 



10 


427 0949 
1387 


438 


0.904 2068 
1861 


207 


0.472 3420 
4013 


593 


2.117 1101 
.1168443 


2658 



50 


43 


Cotangent 




20 


1825 


438 


1654 


207 


4606 


593 


.1165786 


2657 


40 




2680 2670 




30 
40 


2264 
2702 


439 
438 


1447 
1240 


207 
207 


5199 
5792 


593 
593 


.1163130 
.1160474 


2656 
2656 


30 
20 




1 

3 


268 267 
536 534 
804 801 




50 


3140 


438 


1033 


207 


6385 


593 


.115 7818 


2656 


10 




4 


1072 1068 








439 




208 




593 




2654 






5 


1340 1335 


18 





0.427 3579 




0.904 0825 




0.472 6978 




2.115 5164 







42 


6 


1608 1602 




10 
20 
30 


4017 
4455 
4894 


438 
438 
439 


0618 
0411 
0204 


207 
207 
207 


7572 
8165 
8758 


594 
593 
593 


.1152509 
.1149856 
.1147202 


2 655 
2653 
2654 


50 
40 
30 




7 
8 
9 


1876 1869 
2144 2136 
2412 2403 




40 


5332 


438 


0.903 9997 


207 


9351 


593 


.1144550 


2 652 


20 




2660 2650 




50 


5770 


438 


9789 


208 


9944 


593 


.114 1898 


2 652 


10 




1 


266 265 








438 




207 




594 




2652 






2 


532 530 


19 



10 
20 
30 
40 
50 


0.427 6208 
6647 
7085 
7523 
7961 
8399 


439 
438 
438 
438 
438 


0.903 9682 
9375 
9167 
8960 
8753 
8545 


207 
208 
207 
207 
208 


0.473 0538 
1131 
1724 
2318 
2911 
3505 


593 
593 
594 
593 
594 


2.113 9246 
.113 6595 
.113 3945 
.113 1295 
.112 8645 
.112 5996 


2651 
2650 
2650 
2650 
2649 



50 
40 
30 
20 
10 


41 


3 
4 
5 
6 

7 
8 
9 


798 795 
1064 1060 
1330 1325 
1596 1590 
1862 1855 
2128 2120 
2394 2385 








439 




207 




593 




2648 








20 





0.427 8838 




0.903 8338 




0.473 4098 




2.112 3348 







40 








Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff. 


" 


' 


Proportional Parts 



64 40' 



SINES, COSINES, TANGENTS AND COTANGENTS 



153 



25 20' 



' 


" 


Sine 


Diff 


Cosmo 


Diff 


Tangent 


DifT 


Cotangent 


DifT 






Proportional Parts 


20 





0.427 8838 




0.903 8338 




0.473 4098 




2.112 3348 







40 








10 
20 


9276 
9714 


438 
438 


8130 
7923 


208 
207 


4691 
5285 


593 
594 


112 0700 
.111 8053 


2648 
2647 


50 
40 






Sine 




30 


0.428 0152 


438 


7715 


208 


5879 


594 


.111 5406 


2647 


30 




437 


438 439 




40 


0590 


438 


7508 


207 


6472 


593 


.111 2760 


2646 


20 




1 13 


7 4.5 8 43 9 




50 


1028 


438 
439 


7300 


208 
207 


7066 


594 
593 


.111 0115 


2645 
2645 


10 




2 H7 
3 1.51 


4 87 b S7 8 

i in i m 7 


21 



10 


0.428 1467 
1905 


438 


0.903 7093 
6885 


208 


0.473 7659 
8253 


594 


2.110 7470 
.1104825 


2645 



50 


39 


4 171 
5 218 
262 


8 17.") 2 175 
5 210 219 ,") 

2 2t')2 8 2b3 4 




20 


2343 


438 


6677 


208 


8847 


594 


.1102181 


2644 


40 




7 505 


9 300 6 -!()7 '3 




30 
40 


2781 
3219 


438 
438 


6470 
6262 


207 
208 


9440 
474 0034 


593 
594 


.1099538 
.1096895 


2 643 
2643 


30 
20 




8 3H) 
9 393 


o 350 4 ;m 2 

.3 .19 1 2 39.3 1 




50 


3657 


438 


6055 


207 


0628 


594 


.1094252 


2643 


10 














438 




208 




594 




2 641 










22 



10 


0.428 4095 
4533 


438 


0.903 5847 
5639 


208 


0.474 1222 
1815 


593 


2.109 1611 
.1088969 


2642 



50 


38 




Cosine 




20 


4971 


438 


5431 


208 


2409 


594 


108 6329 


2 640 


40 




207 208 209 




30 


5409 


438 


5224 


207 


3003 


594 


.1083689 


2640 


30 




1 20 7 JO S 20 




40 


5847 


438 


5016 


208 


3597 


594 


108 1049 


2640 


20 




2 41 

3 til 


I 41 () 11 8 
i.) l *;' i 




50 


6285 


438 


4808 


208 


4191 


594 


.107 8410 


2639 


10 




1 8J 8 83 2 83 6 








438 




208 




594 




2 639 


































5 1 10' 


.". Kit n H)4 ."i 


23 





0.428 6723 




0.903 4600 




0.474 4785 




2.107 5771 







37 


t) 124 2 121 8 12.') 1 




10 


7161 


438 


4392 


208 


5379 


594 


.1073133 


2638 


50 






<> 11") () 14b 1 




20 
30 


7599 
8037 


438 
438 


4185 
3977 


207 
208 


5973 
6567 


594 
594 


.107 0496 
106 7859 


2637 
2637 


40 
30 




S 11)" 

y ist 


166 1 107 2 
3 187 2 188 1 




40 


8475 


438 


3769 


208 


7161 


594 


106 5222 


2 637 


20 










50 


8913 


438 


3561 


208 


7755 


594 


.1062586 


2 636 


10 














438 




208 




594 




2635 








Tanjrflnt 


24 



10 


428 9351 
9789 


438 


0.903 3353 
3145 


208 


0.474 8349 
8943 


594 


2.105 9951 
.105 7316 


2635 



50 


36 


593 594 595 




20 
30 


429 0227 
0665 


438 
438 


2937 
2729 


208 
208 


9537 
0.475 0132 


594 
595 


105 4682 
.105 2048 


2634 
2634 


40 
30 




I i V) J ,V> 4 59 "> 

'i us o us s nu o 

3 177 ( ) 17S 2 liS r > 




40 


1103 


438 


2521 


208 


0726 


594 


104 9415 


2 633 


20 




i j.r 


2 23 T t) 258 




50 


1541 


438 


2313 


208 


1320 


594 


.1046782 


2 633 


10 




r> 2 ( M 


> > 297 2<V7 5 








438 




208 




594 




2632 






(i |35. 


8 r>t> 4 r>: o 


25 



10 


0.429 1979 
2417 


438 


903 2105 
1897 


208 


0.475 1914 
2509 


595 


2 104 4150 
104 1519 


2631 



50 


35 


7 11 
S 17 
9 ,").!. 


1 41') S IK) .') 
t 47.') 2 47b 
7 5.34 6 r >35 .') 




20 


2855 


438 


1689 


208 


3103 


594 


103 8888 


2 631 


40 










30 


3292 


437 


1480 


209 


3697 


594 


.103 6257 


2 631 


30 










40 


3730 


438 


1272 


208 


4292 


595 


.103 3627 


2630 


20 










50 


4168 


438 


1064 


208 


4886 


594 


.103 0998 


2629 


10 




Cotangent 








438 




208 




595 




2 629 










26 



10 


0.429 4606 
5044 


438 


0.903 0856 
0648 


208 


475 5481 
6075 


594 


2.102 8369 
.102 5741 


2628 



50 


34 


i 


2650 2640 

20") 2hl 
530 528 




20 


5482 


438 


0439 


209 


6670 


595 


.1023113 


2 628 


40 




3 


7 l >5 792 




30 
40 
50 


5919 
6357 
6795 


437 
438 
438 
438 


0231 
0023 
902 9815 


208 
208 
208 
209 


7264 
7859 
8453 


594 
595 
594 
595 


.102 0486 
.101 7859 
.101 5233 


2627 
2627 
2626 
2626 


30 
20 
10 




4 !()()() 10j(> 
.") Il32") 1.520 () 
llV.M) 1581 
7 1S')"> IS IS 
8 2120 2112 


27 





0.429 7233 




0.902 9606 




0.475 9048 




2.101 2607 







33 


9 


2.385 2}7ti 




10 


7671 


438 


9398 


208 


9642 


594 


.100 9982 


2 625 


50 










20 


8108 


437 


9190 


208 


0.476 0237 


595 


.100 7357 


2 625 


40 






2630 2620 




30 
40 
50 


8546 
8984 
9421 


438 
438 
437 


8981 
8773 
8564 


209 
208 
209 


0832 
1426 
2021 


595 
594 
595 


.1004733 
.1002110 
.099 9487 


2 624 
2623 
2623 


30 
20 
10 




\ 

A 
\ 


263 202 
520 521 
789 78b 
10 ')2 10W 








438 




208 




595 




2623 






r, 


1315 o nui o 


28 





0.429 9859 




0.902 8356 




0.476 2616 




2.099 6864 







32 


() 


157H 1572 




10 
20 
30 


430 0297 
0735 
1172 


438 
438 
437 


8147 
7939 
7730 


209 
208 
209 


3211 
3806 
4400 


595 
595 
594 


.099 4242 
.099 1621 
.098 9000 


2 622 
2621 
2621 


50 
40 
30 




7 
8 
9 


1811 18.54 
2101 2096 
2367 2358 




40 


1610 


438 


7522 


208 


4995 


595 


.098 6379 


2 621 


20 






2610 




50 


2048 


438 


7313 


209 


5590 


595 


.098 3760 


2 619 


10 






1 261 








437 




208 




595 




2620 








2 522 


29 



10 
20 
30 


430 2486 
2923 
3361 
3798 


438 
438 
437 


0.902 7105 
6896 
6688 
6479 


209 
208 
209 


0.476 6185 
6780 

7375 
7970 


595 
595 
595 


2.098 1140 
.097 8522 
.097 5903 
.097 3286 


2618 
2619 
2617 



50 
40 
30 


31 




3 783 
4 1044 
5 1305 
6 1506 
7 1827 




40 
50 


4236 
4673 


438 
437 


6270 
6062 


209 
208 


8565 
9160 


595 
595 


.097 0669 
.096 8052 


2 617 
2617 


20 
10 






8 2088 
9 2349 








438 




209 




595 




2616 










30 





0.430 5111 




902 5853 




0.476 9755 




2.096 5436 







30 










Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff. 


" 


' 


Proportional Parts 



64 30' 



154 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
26 30' 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 


30 





0.430 6111 




0.902 5853 




0.476 9756 




2.096 6436 







30 








10 
20 


5549 
5986 


438 
437 


5644 
5435 


209 
209 


0.477 0350 
0946 


595 
5% 


.096 2820 
.096 0205 


2 616 
2615 


50 
40 




Sine 




30 


6424 


438 


5227 


208 


1541 


595 


.095 7591 


2 614 


30 




437 


438 




40 


6861 


437 


5018 


209 


2136 


595 


.095 4977 


2614 


20 




1 43 


7 43 8 




50 


7299 


438 
437 


4809 


209 
209 


2731 


595 
595 


.095 2364 


2613 
2613 


10 




2 87 
3 131 


4 87 6 
1 131 4 


31 



10 
20 


0.430 7736 
8174 
8611 


438 
437 


0.9024600 
4391 
4182 


209 
209 


0.477 3326 
3922 
4517 


5% 
595 


2.094 9761 
.094 7138 
.094 4527 


2613 
2611 



50 
40 


29 


4 174 
5 218 
6 262 
7 305 


8 175 2 
5 219 
2 262 8 
9 306 6 




30 
40 


9049 
9486 


438 
437 


3974 
3765 


208 
209 


5112 
5708 


595 
5% 


.094 1915 
.093 9304 


2612 
2611 


30 
20 




8 349 6 350 4 
9 393 3 394 2 




50 


9924 


438 


3556 


209 


6303 


595 


.093 6694 


2610 


10 














437 




209 




5% 




2609 










32 



10 


0.431 0361 
0799 


438 


0.902 3347 
3138 


209 


0.477 6899 
7494 


595 


2.093 4085 
.093 1475 


2610 



50 


28 


Cosine 




20 


1236 


437 


2929 


209 


8090 


596 


.092 8867 


2608 


40 




208 


209 210 




30 
40 
50 


1674 
2111 
2548 


438 
437 
437 


2720 
2511 
2302 


209 
209 
209 


8685 
9281 
9876 


595 
5% 
595 


.092 6259 
.092 3651 
092 1044 


2 608 
26C8 
2607 


30 
20 
10 




1 20 8 
2 41 6 
3 62 4 
4 83 2 


20 9 21 
41 8 42 
62 7 63 
83 6 84 








438 




210 




5% 




2607 


































5 104 


104 5 105 


33 





0.431 2986 




0.902 2092 




0.478 0472 




2.091 8437 







27 


6 124 8 


125 4 126 




10 
20 
30 


3423 
3861 
4298 


437 
438 
437 


1883 
1674 
1465 


209 
209 
209 


1067 
1663 
2259 


595 
5% 
596 


091 5831 
.091 3226 
.091 0621 


2 606 
2605 
2605 


50 
40 
30 




7 145 6 
8 166 4 
9 187 2 


146 3 147 

167 2 168 
188 1 189 




40 


4735 


437 


1256 


209 


2854 


595 


.090 8017 


2604 


20 










50 


5173 


438 


1047 


209 


3450 


5% 


.090 5413 


2 604 


10 














437 




209 




596 




2604 






Tangent 


34 



10 


0.431 5610 
6047 


437 


0.902 0838 
0628 


210 


0.478 4046 
4642 


596 


2.090 2809 
090 0206 


2603 



50 


26 


695 596 597 




20 
30 


6485 
6922 


438 
437 


0419 
0210 


209 
209 


5238 
5833 


5% 
595 


089 7604 
.089 5002 


2602 
2602 


40 
30 




1 59 5 
2 119 
3 178 5 


59 6 59 7 
1!9 2 119 4 
178 8 179 I 




40 


7359 


437 


0000 


210 


6429 


596 


089 2401 


2 601 


20 




4 238 


238 4 238 8 




50 


7797 


438 


0.901 9791 


209 


7025 


5% 


088 9800 


2 601 


10 




5 297 5 


298 298 5 








437 




209 




5% 




2600 






6 357 


357 6 358 2 


35 



10 


0.431 8234 
8671 


437 


0.901 9582 
9372 


210 


0.478 7621 
8217 


596 


2.088 7200 
088 4601 


2599 



50 


25 


7 416 5 
8 476 
9 535 5 


417 2 417 9 
476 8 477 6 
536 4 537 3 




20 


9109 


438 


9163 


209 


8813 


596 


.088 2001 


2 600 


40 










30 


9546 


437 


8954 


209 


9409 


5% 


.087 9403 


2598 


30 










40 


9983 


437 


8744 


210 


479 0005 


596 


.087 6805 


2 598 


20 










50 


0.432 0420 


437 


8535 


209 


0601 


5% 


.087 4207 


2598 


10 




Cotangent 








437 




210 




5% 




2 597 










36 



10 


0.432 0857 
1295 


438 


0.901 8325 
8116 


209 


0.479 1197 
1793 


5% 


2.087 1610 
.086 9014 


25% 



50 


24 


* 2620 

1 262 
2 524 


2610 

261 
522 




20 


1732 


437 


7906 


210 


2389 


5% 


.086 6418 


25% 


40 




3 786 


783 




30 


2169 


437 


7697 


209 


2986 


597 


.086 3822 


25% 


30 




4 1018 


1044 




40 
50 


2606 
3043 


437 
437 
438 


7487 
7278 


210 
209 
210 


3582 
4178 


5% 
5% 
5% 


.0861227 
.085 8633 


2595 
2594 
2594 


20 
10 




5 13K 
6 1W2 
7 1834 
8 20% 


1305 
15f>6 
1827 
2088 


37 





0.432 3481 




0.901 7068 




0.479 4774 




2.086 6039 







23 


9 2358 


2349 




10 


3918 


437 


6858 


210 


5371 


597 


.085 3445 


2594 


50 










20 


4355 


437 


6649 


209 


5967 


5% 


.085 0853 


2 592 


40 




2600 2590 




30 
40 
50 


4792 
5229 
5666 


437 
437 
437 


6439 
6229 
6020 


210 
210 
209 


6563 
7160 
7756 


5% 
597 
596 


.084 8260 
.084 5669 
.084 3077 


2593 
2591 
2592 


30 
20 
10 




1 260 259 
2 520 518 
3 780 777 
4 1040 1036 








437 




210 




5% 




2590 






5 1300 1295 


38 





0.432 6103 




0.901 6810 




0.479 8352 




2.0840487 







22 


6 1500 1554 




10 
20 
30 


6540 
6978 
7415 


437 
438 
437 


5600 
5390 
5181 


210 
210 
209 


8949 
9545 
0.480 0142 


597 
5% 
597 


.083 7896 
.083 5307 
.083 2717 


2 591 
2589 
2590 


50 
40 
30 




7 1820 1813 
8 2080 2072 
9 2340 2331 




40 


7852 


437 


4971 


210 


0738 


5% 


083 0129 


2 588 


20 






2580 




50 


8289 


437 


4761 


210 


1335 


597 


.082 7541 


2 588 


10 




1 


258 








437 




210 




597 




2588 






2 


516 


39 





0.432 8726 




0.901 4551 




0.480 1932 




2 082 4953 







21 


3 


774 




10 


9163 


437 


4341 


210 


2528 


5% 


082 2366 


2587 


50 




4 


1032 




20 
30 


9600 
433 0037 


437 
437 


4131 
3921 


210 
210 


3125 
3722 


597 
597 


081 9779 
.081 7193 


2 587 
2586 


40 
30 




5 
6 

7 


1290 
1548 
1806 




40 
50 


0474 
0911 


437 
437 


3712 
3502 


209 
210 


4318 
4915 


596 
597 


.081 4608 
.081 2023 


2 585 
2585 


20 
10 




8 
9 


2064 
2322 








437 




210 




597 




2 585 










40 





433 1348 




0.901 3292 




0.480 5512 




2.0809438 







20 










Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



64 20' 



SINES, COSINES, TANGENTS AND COTANGENTS 
25 40' 



155 



' 


" 


Sine 


Din" 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 


40 





0.433 1348 




0.901 3292 




0.480 6512 




2.0809438 







20 






10 
20 


1785 
2222 


437 
437 


3082 
2872 


210 
210 


6109 
6705 


597 
596 


.080 6854 
.080 4271 


2584 
2583 


50 
40 




Sine 




30 


2659 


437 


2662 


210 


7302 


597 


.080 1688 


2583 


30 




436 437 




40 


3096 


437 


2451 


211 


7899 


597 


.079 9106 


2582 


20 




1 


43 6 43 7 




50 


3533 


437 

437 


2241 


210 
210 


8496 


597 
597 


.079 6524 


2582 
2582 


10 




2 
3 


87 2 87 4 
130 8 131 1 


41 



10 
20 


0.433 3970 
4406 
4843 


436 
437 


0.901 2031 
1821 
1611 


210 
210 


0.4809093 
9690 
0.481 0287 


597 
597 


2.079 3942 
.079 1362 
.078 8781 


2580 
2581 



50 
40 


19 


4 
5 
6 

7 


174 4 174 3 
218 218 5 
261 6 262 2 
305 2 305 9 




30 
40 


5280 
5717 


437 
437 


1401 
1191 


210 
210 


0884 
1481 


597 
597 


.078 6201 
.078 3622 


2580 
2579 


30 
20 




8 
9 


348 8 349 6 
392 4 393 3 




50 


6154 


437 


0980 


211 


2078 


597 


.078 1043 


2 579 


10 












437 




210 




597 




2578 








42 



10 


0.433 6591 
7028 


437 


0.901 0770 
0560 


210 


0.481 2675 
3272 


597 


2.077 8465 
.077 5888 


2577 



50 


18 


Cosine 




20 


7465 


437 


0350 


210 


3869 


597 


.077 3310 


2578 


40 




210 211 212 




30 


7901 


436 


0139 


211 


4466 


597 


.077 0734 


2576 


30 




1 21 21 1 21 2 




40 
50 


8338 
8775 


437 
437 


0.900 9929 
9719 


210 
210 


5064 
5661 


598 
597 


.076 8158 
.076 5582 


2576 
2576 


20 
10 




2 42 42 2 42 4 
3 63 63 3 63 6 
4 84 81 4 84 8 








437 




211 




597 




2575 






5 105 105 5 lOb 


43 





0.433 9212 




900 9508 




0.481 6258 




2.076 3007 







17 


b 126 126 6 127 2 




10 


9649 


437 


9298 


210 


6855 


597 


076 0432 


2575 


50 




7 147 147 7 148 4 




20 
30 


0.434 0085 
0522 


436 
437 


9088 
8877 


210 
211 


7453 
8050 


598 
597 


075 7858 
.075 5285 


2574 
2573 


40 
30 




8 168 168 8 100 6 
9 189 189 9 190 8 




40 


0959 


437 


8667 


210 


8647 


597 


075 2711 


2 574 


20 








50 


1396 


437 


8456 


211 


9245 


598 


.075 0139 


2572 


10 






44 





0.434 1832 


436 


0.900 8246 


210 


0.481 9842 


597 


2.074 7567 


2572 





16 


Tangent 




10 


2269 


437 


8035 


211 


482 0440 


598 


.074 4995 


2572 


50 




596 597 




20 
30 


2706 
3143 


437 
437 


7825 
7614 


210 
211 


1037 
1635 


597 
598 


.074 2424 
073 9854 


2571 
2570 


40 
30 




2 
3 


59 6 59 7 
119 2 119 4 
178 8 179 1 




40 


3579 


436 


7404 


210 


2232 


597 


.073 7284 


2 570 


20 




4 


2.38 4 238 8 




50 


4016 


437 


7193 


211 


2830 


598 


.073 4715 


2569 


10 




f, 


298 298 5 








437 




211 




597 




2569 






b 


357 b 358 2 


45 



10 


434 4453 
4889 


436 


0.900 6982 
6772 


210 


0.482 3427 
4025 


598 


2.073 2146 
.072 9577 


2569 



50 


16 


7 
8 
y 


417 2 417 9 
476 8 477 
.i3fi 4 5X7 'A 




20 


5326 


437 


6561 


211 


4623 


598 


072 7009 


2568 


40 








30 


5763 


437 


6350 


211 


5220 


597 


.072 4442 


2567 


30 




fi98 5M 




40 


6199 


436 


6140 


210 


5818 


598 


.072 1875 


2567 


20 




] 


59 8 59 9 




50 


6636 


437 


5929 


211 


6416 


598 


.071 9309 


2566 


10 




2 


119 6 119 8 








436 




211 




598 




2566 






3 


179 4 179 7 


46 





0.434 7072 




0.900 5718 




0.482 7014 




2.071 6743 







14 


4 


2.39 2 239 




10 
20 


7509 
7946 


437 
437 


5507 
5297 


211 
210 


7611 
8209 


597 
598 


.071 4178 
.071 1613 


2565 
2565 


50 
40 




ft 


299 299 5 
358 8 359 4 
418 6 419 3 




30 


8382 


436 


5086 


211 


8807 


598 


.070 9049 


2564 


30 




8 


478 4 179 2 




40 


8819 


437 


4875 


211 


9405 


598 


.070 6485 


2564 


20 




9 


538 2 539 1 




50 


9255 


436 


4664 


211 


0.483 0003 


598 


.070 3922 


2563 


10 












437 




211 




598 




2563 








47 



10 


0.434 9692 
435 0128 


436 


0.900 4453 
4242 


211 


0.483 0601 
1199 


598 


2.070 1369 
.069 8797 


2562 




50 


13 


Cotangent 




20 


0565 


437 


4032 


210 


1797 


598 


.069 6235 


2562 


40 




2580 2570 




30 


1001 


436 


3821 


211 


2395 


598 


.069 3674 


2561 


30 




1 


258 257 




40 


1438 


437 


3610 


211 


2993 


598 


.069 1113 


2 561 


20 




3 


516 511 
774 Q 771 o 




50 


1875 


437 


3399 


211 


3591 


598 


.068 8553 


2560 


10 




4 


1032 1028 








436 




211 




598 




2559 






r 


1290 1JH5 


48 





0.435 2311 




0.900 3188 




0.483 4189 




2.0685994 







12 


t 


1548 1512 




10 
20 
30 


2747 
3184 
3620 


436 
437 
436 


2977 
2766 

2555 


211 
211 
211 


4787 
5385 
5983 


598 
598 
598 


.068 3434 
.068 0876 
.067 8318 


2560 
2558 
2558 


50 
40 
30 




7 
8 
9 


1806 1799 
2064 2056 
2322 2313 




40 


4057 


437 


2344 


211 


6582 


599 


.067 5760 


2558 


20 




2560 2550 




50 


4493 


436 


2132 


212 


7180 


598 


.067 3202 


2558 


10 




1 


256 255 








437 




211 




598 




2556 






2 


512 510 


49 



10 
20 
30 


435 4930 
5366 
5803 
6239 


436 
437 
436 


900 1921 
1710 
1499 
1288 


211 
211 
211 


483 7778 
8376 
8975 
9573 


598 
599 
598 


2 067 0646 
.066 8090 
066 5535 
.066 2980 


2556 
2555 
2555 



50 
40 
30 


11 


3 
4 

6 

7 


768 765 
1024 1020 
1280 1275 
1536 1530 
1792 1785 




40 
50 


6675 
7112 


436 
437 


1077 
0865 


211 
212 


0.484 0171 
0770 


598 
599 


.066 0425 
.065 7871 


2555 
2554 


20 
10 




8 
9 


2048 2010 
2304 2295 








436 




211 




598 




2 553 








60 





0.435 7548 




0.900 0654 




04841368 




2 065 6318 







10 








Cosine 


Difl 


Sine 


Diff 


Cotangent 


Diff 


Tan^-nt 


Diff. 


" 


' 


Proportional Parts 



64 10' 



156 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
25 50' 



' 


" 


Sine 


DifT 


Cosine 


DifT 


Tangent 


Diff 


Cotangent 


DifT 






Proportional Parts 


50 





0.435 7548 




0.9000654 




0.484 1368 




2.065 5318 







10 








10 


7984 


436 


0443 


211 


1967 


599 


065 2765 


2553 


50 




Sine 




20 
30 
40 


8421 
8857 
9293 


437 
436 
436 


0232 
0020 
0.899 9809 


211 
212 
211 


2565 
3164 
3762 


598 
599 
598 


.065 0212 
064 7660 
064 5109 


2553 
2552 
2551 


40 
30 
20 




435 436 437 

1 43 5 43 6 43 7 

2 87 87 2 87 4 




50 


9730 


437 


9598 


211 


4361 


599 


064 2558 


2551 


10 




3 130 5 


130 8 131 1 








436 




212 




598 




2550 






4 174 


174 4 174 8 


51 





436 0166 




0.899 9386 




484 4959 




2.064 0008 







9 


5 217 5 


218 218 5 




10 
20 


0602 
1039 


436 
437 


9175 
8963 


211 
212 


5558 
6157 


599 
599 


.063 7458 
063 4908 


2 550 
2550 


50 
40 




201 
7 304 5 

8 348 


201 202 2 
305 2 305 9 
348 8 i4 ( t 




30 


1475 


436 


8752 


211 


6755 


598 


063 2359 


2549 


30 




9 391 5 


392 4 393 3 




40 


1911 


436 


8540 


212 


7354 


599 


062 9811 


2548 


20 










50 


2347 


436 


8329 


211 


7953 


599 


.062 7263 


2548 


10 














437 




212 




599 




2547 










52 





436 2784 




0.899 8117 




484 8552 




2 062 4716 







8 


Cosine 




10 


3220 


436 


7906 


211 


9150 


598 


062 2169 


2 547 


50 




211 


212 213 




20 


3656 


436 


7694 


212 


9749 


599 


061 9623 


2546 


40 




1 21 1 


21 2 21 3 




30 


4092 


436 


7483 


211 


485 0348 


599 


061 7077 


2546 


30 




2 42 2 


42 4 42 




40 
50 


4529 
4965 


437 
436 
436 


7271 
7060 


212 
211 
212 


0947 
1546 


599 
599 
599 


061 4531 
.061 1987 


2546 
2544 
2545 


20 
10 




3 03 3 
4 84 4 
5 105 5 


01 03 9 
81 8 85 2 
100 100 5 


53 



10 


0.436 5401 
5837 


436 


0.899 6848 
6636 


212 


485 2145 
2744 


599 


2 060 9442 
.060 6899 


2543 



50 


7 


12d 
7 147 7 

8 108 8 


127 2 \27 8 
148 1 149 1 
lb' 1) 170 4 




20 


6273 


436 


6425 


211 


3343 


599 


060 4355 


2544 


40 




') 189 9 


190 8 191 7 




30 


6709 


436 


6213 


212 


3942 


599 


.060 1812 


2 543 


30 










40 


7146 


437 


6001 


212 


4541 


599 


059 9270 


2 542 


20 










50 


7582 


436 
436 


5790 


211 
212 


5140 


599 
599 


059 6728 


2 542 
2541 


10 




Tangent 


54 





436 8018 




0.899 6578 




0.485 5739 




2 059 4187 







6 


598 


599 600 




10 


8454 


436 


5366 


212 


6338 


599 


059 1646 


2 541 


50 




1 59 8 


59 9 00 




20 
30 


8890 
9326 


436 
436 


5154 
4942 


212 
212 


6937 
7537 


599 
600 


058 9106 
058 6566 


2540 
2540 


40 
30 




2 119 
3 179 4 
4 239 J 


119 8 120 
17') 7 180 
239 240 




40 
50 


9762 
437 0198 


436 
436 


4731 
4519 


211 
212 


8136 
8735 


599 
599 


058 4027 
058 1488 


2 539 
2539 


20 
10 




5 299 
358 8 


299 "> 300 
359 4 300 








436 




212 




599 




2 538 






7 418 


419 3 420 


55 



10 


437 0634 
1070 


436 


0.899 4307 
4095 


212 


0.485 9334 
9934 


600 


2 057 8950 
057 6413 


2537 



50 


6 


8 478 4 
9 538 2 


479 2 480 
539 1 510 




20 


1506 


436 


3883 


212 


486 0533 


599 


057 3875 


2 538 


40 










30 


1943 


437 


3671 


212 


1132 


599 


057 1339 


2 536 


30 










40 
50 


2379 
2815 


436 
436 
436 


3459 
3247 


212 
212 
212 


1732 
2331 


600 
599 
600 


056 8802 
056 6267 


2537 
2535 
2535 


20 
10 




Cotangent 

\ 2550 2540 


66 



10 
20 


437 3251 
3687 
4123 


436 
436 


0.899 3035 
2823 
2611 


212 
212 


0.486 2931 
3530 
4130 


599 
600 


2 056 3732 
.056 1197 
055 8663 


2535 
2534 



50 
40 


4 


1 255 254 
2 510 508 
3 705 702 
4 1020 1010 




30 


4558 


435 


2399 


212 


4729 


599 


.055 6129 


2534 


30 




5 1275 1270 




40 
50 


4994 
5430 


436 
436 
436 


2187 
1975 


212 
212 
212 


5329 
5928 


600 
599 
600 


.055 3596 
.055 1063 


2 533 
2533 
2532 


20 
10 




15 ',0 1524 
7 1785 1778 
8 2040 2032 
9 2295 L>280 


67 





437 5866 




0.899 1763 




486 6528 




2.054 8531 







3 








10 


6302 


436 


1550 


213 


7128 


600 


.054 5999 


2532 


50 




2530 2520 




20 


6738 


436 


1338 


212 


7727 


599 


.054 3468 


2 531 


40 




1 253 252 




30 


7174 


436 


1126 


212 


8327 


600 


.054 0938 


2530 


30 




2 500 504 




40 
50 


7610 
8046 


436 
436 
436 


0914 
0702 


212 
212 
213 


8927 
9526 


600 
599 
600 


.053 8408 
053 5878 


2530 
2530 
2529 


20 
10 




3 75* 750 
4 1012 1008 
5 1205 1200 


58 





0.437 8482 




0.899 0489 




0.487 0126 




2.053 3349 







2 


6 1518 1512 
7 1771 1704 




10 
20 


8918 
9353 


436 
435 


0277 
0065 


212 
212 


0726 
1326 


600 
600 


.053 0820 
.052 8292 


2 529 
2528 


50 
40 




8 2024 2010 
9 2277 2208 




30 
40 
50 


9789 
0.438 0225 
0661 


436 
436 
436 


0.898 9852 
9640 
9428 


213 
212 
212 


1926 
2526 
3126 


600 
600 
600 


052 5764 
.052 3237 
.052 0711 


2528 
2527 
2526 


30 
20 
10 




1 

2 


2510 

251 
502 








436 




213 




600 




2526 






3 


753 


59 





0.438 1097 




0.898 9215 




0.487 3726 




2.051 8185 







1 


4 


1004 




10 


1533 


436 


9003 


212 


4326 


600 


.051 5659 


2 526 


50 




5 


1255 




20 
30 


1968 
2404 


435 
436 


8790 
8578 


213 
212 


4926 
5526 


600 
600 


.051 3134 
.051 0609 


2525 
2525 


40 
30 




6 

7 
g 


1506 
1757 
2008 




40 


2840 


436 


8365 


213 


6126 


600 


.050 8085 


2524 


20 




9 


2259 




50 


3276 


436 


#53 


212 


6726 


600 


.050 5562 


2523 


10 














435 




213 




600 




2524 










60 





0.438 3711 




0.898 7940 




0.487 7326 




2.050 3038 




*0 













Cosine 


0, ff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



64 0' 



SINES, COSINES, TANGENTS AND COTANGENTS 
26 0' 



157 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Paitu 








0.438 3711 




0.898 7940 




487 7326 




2 050 3038 







60 








10 


4147 


436 


7728 


7926 


600 


.050 0516 


2 522 


50 










20 


4583 


436 


7515 


213 


8526 


600 


.049 7994 


2522 


40 










30 


5019 


436 


7303 


212 


9126 


600 


049 5472 


2522 


30 










40 


5454 


435 


7090 


213 


9727 


601 


049 2951 


2 521 


20 










50 


5890 


436 


6878 


212 


488 0327 


600 


.049 0430 


2 521 


10 














436 




213 




600 




2520 








Sine 


1 



10 
20 


438 6326 
6761 
7197 


435 
436 


0.898 6665 
6452 
6240 


213 
212 


0.488 0927 
1528 
2128 


601 
600 


2 048 7910 
.048 5391 
048 2872 


2519 
2519 



50 
40 


69 


1 

2 


435 436 

43 5 43 6 

87 87 2 




30 


7633 


436 


6027 


213 


2728 


600 


048 0353 


2 519 


30 




3 


130 5 130 8 




40 


8068 


435 


5814 


213 


3329 


601 


047 7835 


2518 


20 




4 


174 174 4 




50 


8504 


436 
436 


5601 


213 
212 


3929 


600 
601 


047 5317 


2 518 
2517 


10 




(i 


217 5 218 
2(il 201 6 


2 



10 


438 8940 
9375 


435 


0.898 5389 
5176 


213 


0.488 4630 
5130 


600 


2 047 2800 
047 0284 


2516 



50 


68 


7 
8 
9 


304 5 305 2 
348 3 IS 8 
391 5 392 4 




20 


9811 


436 


4963 


213 


5731 


601 


046 7768 


2516 


40 










30 


0.439 0247 


436 


4750 


213 


6331 


600 


046 5252 


2516 


30 










40 
50 


0682 
1118 


435 
436 


4537 
4324 


213 
213 


6932 
7532 


691 
600 


046 2737 
046 0222 


2 515 
2515 


20 
10 






Cosine 








435 




212 




601 




2514 






212 213 214 


3 





439 1563 


436 


0.898 4112 


213 


0.488 8133 


601 


2 045 7708 


2 CJQ 





57 


1 21 


2 21 3 21 4 




10 


1989 




3899 




8734 




.045 5195 




50 




2 42 


4 42 42 8 




20 
30 
40 
50 


2424 
2860 
3295 
3731 


235 
436 
435 
436 


3686 
3473 
3260 
3047 


213 
213 
213 
213 


9334 
9935 
489 0536 
1137 


600 
601 
601 
601 


045 2682 
045 0169 
0447657 
.044 5145 


2513 
2513 
2512 
2512 


40 
30 
20 
10 




3 03 6 63 U b4 2 
4 84 8 85 2 85 6 
5 100 100 5 107 
it 127 2 127 8 128 4 
7 MS 4 140 1 149 8 








435 




213 




600 




2511 






8 109 (i 170 1 171 2 


4 





0.439 4166 




0.898 2834 




0.489 1737 




2 044 2634 







66 


9 UK) 8 191 7 192 6 




10 


4602 


436 


2621 


213 


2338 


601 


.044 0124 


2510 


50 










20 


5037 


435 


2408 


213 


2939 


601 


043 7613 


2511 


40 










30 
40 


5473 
5908 


436 
435 


2194 
1981 


214 
213 


3540 
4141 


601 
601 


043 5104 
.043 2595 


2 509 
2509 


30 
20 






Tangent 




50 


6344 


436 


1768 


213 


4742 


601 


043 0086 


2 509 


10 




600 601 602 








435 




213 




601 




2508 






1 ()() 00 1 GO 2 


6 



10 
20 
30 


0.439 6779 
7215 
7650 
8086 


436 
435 
436 


0.898 1565 
1342 
1129 
0916 


213 
213 
213 


0.489 5343 
5944 
6545 
7146 


601 
601 
601 


2.042 7578 
042 5070 
042 2563 
042 0057 


2508 
2507 
2506 



50 
40 
30 


55 


1 120 120 2 120 4 
3 180 ISO ,\ 180 ( 
4 240 240 4 240 8 
5 MO 300 5 301 
{(>() 300 301 2 




40 
50 


8521 
8956 


435 
435 
436 


0702 
0489 


214 
213 
213 


7747 
8348 


601 
601 
601 


.041 7550 
.041 5045 


2 507 
2505 
2505 


20 
10 




7 120 420 7 421 4 
8 480 4SO 8 481 (5 
9 540 540 9 541 8 


6 





0.439 9392 




898 0276 




489 8949 




2.041 2640 







54 








10 


9827 


435 


0062 


214 


9551 


602 


0410035 


2 505 


50 










20 
30 
40 
50 


440 0262 
0698 
1133 
1568 


435 
436 
435 
435 


897 9849 
9636 
9422 
9209 


213 
213 
214 
213 


0.490 0152 
0753 
1354 
1956 


601 
601 
601 
602 


.040 7531 
.040 5027 
.040 2524 
.040 0021 


2 504 
2504 
2503 
2503 


40 
30 
20 
10 




( 


Cotangent 

2520 2510 

252 251 
504 502 








436 




213 




601 




2 502 






3 


750 753 


7 



10 
20 
30 


0.4402004 
2439 
2874 
3310 


435 
435 
436 


0.897 8996 
8782 
8569 
8355 


214 
213 
214 


0.490 2557 
3158 
3760 
4361 


601 
602 
601 


2.039 7519 
039 5018 
039 2516 
.039 0016 


2501 
2502 
2500 



50 
40 
30 


53 


4 

o 

7 
8 


1008 1004 
1260 1255 
1512 1500 
1701 1757 
2010 2008 




40 


3745 


435 


8142 


213 


4963 


602 


.038 7515 


2 501 


20 




9 


2208 2259 




50 


4180 


435 
435 


7928 


214 
213 


5564 


601 
602 


.038 5016 


2499 
2499 


10 






2500 2490 


8 



10 
20 


0.440 4615 
5051 
5486 


436 
435 


0.897 7715 
7501 
7288 


214 
213 


0.490 6166 
6767 
7369 


601 
602 


2.038 2617 
.038 0018 
037 7520 


2499 
2498 



50 
40 


52 


1 

2 
3 
4 


250 249 
500 498 
750 747 
1000 996 




30 


5921 


435 


7074 


214 


7970 


601 


037 5022 


2 498 


30 






1250 1245 




40 
50 


6356 
6792 


435 
436 
435 


6860 
6647 


214 
213 
214 


8572 
9173 


602 
601 
602 


.037 2525 
.037 0028 


2 497 
2497 
2496 


20 
10 






7 
8 


1500 1494 
1750 1743 
2000 1992 


9 





0.140 7227 




0.897 6433 




490 9776 




2.036 7632 







61 


9 


2250 2241 




10 


7662 


435 


6219 


214 


0.491 0377 


602 


.036 5036 


2 496 


50 










20 


8097 


435 


6006 


213 


0979 


602 


.036 2541 


2 495 


40 










30 


8532 


435 


5792 


214 


1580 


601 


.036 0046 


2 495 


30 










40 


8967 


435 


5578 


214 


2182 


602 


.035 7552 


2 494 


20 










50 


9403 


436 


5365 


213 


2784 


602 


.035 5058 


2 494 


10 














435 




214 




602 




2 493 










10 





0.440 9838 




0.897 5151 




0.491 3386 




2.035 2566 







50 










Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



63 50' 



158 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
26 10' 



' 


" 


Sine 


Diff 


Cosine 


Diff. 


Tangent 


Diff. 


Cotangent 


Diff 






Pioportional Parts 


10 





0.440 9838 




0.897 5151 




0.491 3386 




2.035 2565 







50 






10 


0.441 0273 


435 


4937 


214 


3988 


602 


.035 0072 


2493 


50 




Sine 




20 
30 
40 


0708 
1143 
1578 


435 
435 
435 


4723 
4509 
4295 


214 
214 
214 


4589 
5191 
5793 


601 
602 
602 


.034 7579 
.034 5088 
.034 2596 


2 493 
2491 
2492 


40 
30 
20 




434 435 436 

1 43 4 43 5 43 6 

2 86 8 87 87 2 




50 


2013 


435 
435 


4082 


213 
214 


6395 


602 
602 


.034 0106 


2 490 
2491 


10 




3 130 2 130 5 130 8 
4 173 6 174 174 4 


11 



10 
20 


0.441 2448 
2883 
3318 


435 
435 


0.897 3868 
3654 
3440 


214 
214 


0.491 6997 
7599 
8201 


602 
602 


2.033 7615 
.033 5125 
.033 2636 


2490 
2489 



50 
40 


49 


5 217 217 5 218 
6 260 4 261 261 6 
7 303 8 304 5 305 2 
8 347 2 348 348 8 




30 


3753 


435 


3226 


214 


8804 


603 


.033 0147 


2 489 


30 




9 390 6 391 5 392 4 




40 


4189 


436 


3012 


214 


9406 


602 


.032 7659 


2 488 


20 








50 


4624 


435 


2798 


214 


0.492 0008 


602 


.032 5171 


2 488 


10 












435 




214 




602 




2 488 








12 





0.441 5059 




0.897 2584 




0.492 0610 




2.032 2683 







48 


Cosine 




10 
20 


5494 
5929 


435 
435 


2370 
2156 


214 
214 


1212 
1814 


602 
602 


.032 0197 
.031 7710 


2 486 
2487 


50 
40 




213 214 215 

1 21 3 21 4 21 5 




30 


6363 


434 


1941 


215 


2417 


603 


.031 5224 


2 486 


30 




'2 42 6 42 8 43 




40 
50 


6798 
7233 


435 
435 
435 


1727 
1513 


214 
214 
214 


3019 
3621 


602 
602 
603 


.031 2739 
.031 0254 


2 485 
2485 
2485 


20 
10 




3 63 9 64 2 64 5 
4 85 2 85 6 86 
5 106 5 107 107 5 


13 



10 


0.441 7668 
8103 


435 


0.897 1299 
1085 


214 


0.492 4224 
4826 


602 


2.030 7769 
.030 5285 


2484 



50 


47 


6 127 H 128 1 129 
7 H9 1 149 8 150 5 
8 170 4 171 2 172 




20 


8538 


435 


0871 


214 


5429 


603 


.030 2802 


2483 


40 




9 191 7 192 6 193 5 




30 


8973 


435 


0656 


215 


6031 


602 


.030 0319 


2 483 


30 








40 


9408 


435 


0442 


214 


6633 


602 


.029 7836 


2 483 


20 








50 


9843 


435 
435 


0228 


214 
214 


7236 


603 
602 


.029 5354 


2 482 
2481 


10 




Tangent 


14 



10 


0.442 0278 
0713 


435 


0.897 0014 
0.896 9799 


215 


0.492 7838 
8441 


603 


2.029 2873 
.029 0392 


2481 




50 


46 


j 


601 602 

60 1 60 2 




20 
30 
40 
50 


1148 
1582 
2017 
2452 


435 
434 
435 
435 


9585 
9371 
9156 
8942 


214 
214 
215 
214 


9044 
9646 
0.493 0249 
0852 


603 
602 
603 
603 


0287911 
.028 5431 
.028 2952 
.028 0473 


2 481 
2480 
2479 
2479 


40 
30 
20 
10 




3 
4 
5 
6 


120 2 120 4 
180 3 180 6 
210 4 240 8 
300 5 301 
360 6 361 2 








435 




215 




602 




2 479 






7 


420 7 421 4 


15 



10 


0.442 2887 
3322 


435 


0.896 8727 
8513 


214 


0.493 1454 
2057 


603 


2.027 7994 
.027 5516 


2478 



50 


45 


8 
9 


480 8 481 6 
540 9 541 8 




20 


3757 


435 


8299 


214 


2660 


603 


.027 3038 


2 478 


40 








30 


4191 


434 


8084 


215 


3263 


603 


.027 0561 


2 477 


30 




603 604 




40 


4626 


435 


7870 


214 


3865 


602 


.026 8085 


2 476 


20 






60 3 60 4 




50 


5061 


435 
435 


7655 


215 
215 


4468 


603 
603 


.026 5608 


2477 
2475 


10 




2 


120 6 120 8 
180 9 181 2 


16 



10 
20 


0.442 5496 
5930 
6365 


434 
435 


0.896 7440 
7226 
7011 


214 
215 


0.493 6071 
5674 
6277 


603 
603 


2 026 3133 
.026 0657 
.025 8183 


2476 
2474 



50 
40 


44 


* 4 

5 
6 

7 


241 2 241 6 
301 5 302 
361 8 362 4 
422 1 422 8 




30 
40 


6800 
7235 


435 
435 


6797 
6582 


214 
215 


6880 
7483 


603 
603 


.025 5709 
.025 3235 


2 474 
2474 


30 
20 




8 
9 


482 4 483 2 
542 7 543 6 




50 


7669 


434 


6367 


215 


8086 


603 


.025 0762 


2 473 


10 












435 




214 




603 




2 473 








17 





442 8104 




0.896 6153 




0.493 8689 




2 024 8289 







43 


Cotangent 




10 


8539 


435 


5938 


215 


9292 


603 


.024 5817 


2 472 


50 




2490 2480 




20 


8973 


434 


5723 


215 


9895 


603 


.024 3345 


2 472 


40 




1 


249 248 




30 


9408 


435 


5509 


214 


494 0498 


603 


.024 0873 


2 472 


30 






498 496 




40 
50 


9843 
0.443 0277 


435 
434 
435 


5294 
5079 


215 
215 
215 


1101 
1705 


603 
604 
603 


023 8403 
.023 5932 


2 470 
2471 
2470 


20 
10 




3 
4 
5 


747 744 
996 992 
1245 1240 


18 



10 


0.443 0712 
1147 


435 


0.896 4864 
4649 


215 


0.494 2308 
2911 


603 


2 023 3462 
.023 0993 


2469 



50 


42 


6 
8 


1494 1488 
1743 1736 
1992 1981 




20 


1581 


434 


4435 


214 


3514 


603 


.022 8524 


2469 


40 




9 


22 U 2232 




30 
40 
50 


2016 
2450 
2885 


435 
434 
435 
434 


4220 
4005 
3790 


215 
215 
215 
215 


4118 
4721 
5324 


604 
603 
603 
604 


.022 6056 
.022 3588 
.022 1120 


2 468 
2468 
2468 
2466 


30 
20 
10 




1 

3 


2470 2460 

247 246 
494 492 
741 738 


19 





0.443 3319 




0.896 3575 




0.494 5928 




2.021 8654 







41 


4 


988 984 




10 


3754 


435 


3360 


215 


6531 


603 


.021 6187 


24S7 


50 




5 


1235 1230 




20 
30 
40 


4189 
4623 
5058 


435 
434 
435 


3145 
2930 
2715 


215 
215 
215 


7135 
7738 
8342 


604 
603 
604 


.021 3721 
.021 1256 
020 8791 


2 466 
2465 
2465 


40 
30 
20 




6 

8 
9 


L182 1476 
1729 1722 
1976 1968 
2223 2214 




50 


5492 


434 


2500 


215 


8945 


603 


.020 6326 


2 465 


10 












435 




215 




604 




2464 








20 





443 5927 




0.896 2286 




0.494 9549 




2.020 3862 







40 








Conine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


- 


' 


Proportional Paits 



63 40' 



SINES, COSINES, TANGENTS AND COTANGENTS 



159 



26 20' 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 


20 





0.443 5927 




0.896 2285 




0.494 9549 




2.020 3862 







40 






10 
20 


6361 
6796 


434 

435 


2070 
1855 


215 
215 


0.495 0152 
0756 


603 
604 


.020 1398 
.019 8935 


2 464 
2463 


50 
40 




Sine 




30 


7230 


434 


1640 


215 


1360 


604 


.019 6473 


2462 


30 




433 434 435 




40 


7665 


435 


1425 


215 


1963 


603 


.019 4011 


2462 


20 




1 43 3 43 4 43 5 




50 


8099 


434 


1210 


215 


2567 


604 


.019 1549 


2 462 


10 




2 86 6 86 8 87 








435 




216 




604 




2461 






3 129 9 130 2 130 5 


21 





0.443 8534 




0.896 0994 




0.496 3171 




2.018 9088 







39 


4 173 2 173 6 174 




10 
20 
30 


8968 
9402 
9837 


434 
434 
435 


0779 
0564 
0349 


215 
215 
215 


3775 
4378 
4982 


604 
603 
604 


.018 6627 
.018 4167 
.018 1707 


2 461 
2460 
2460 


50 
40 
30 




5 216 5 217 217 5 
6 259 8 260 4 261 
7 303 1 303 8 304 5 
8 346 4 347 2 348 




40 


0.444 0271 


434 


0133 


216 


5586 


604 


.017 9248 


2459 


20 




9 389 7 390 6 391 5 




50 


0706 


435 


0.895 9918 


215 


6190 


604 


.017 6789 


2 459 


10 












434 




215 




604 




2458 








22 



10 


0.444 1140 
1574 


434 


0.896 9703 
9488 


215 


0.495 6794 
7398 


604 


2.017 4331 
.017 1873 


2458 



50 


38 


Cosine 




20 


2009 


435 


9272 


216 


8002 


604 


.016 9416 


2457 


40 




215 216 217 




30 


2443 


434 


9057 


215 


8606 


604 


.016 6959 


2457 


30 




1 21 5 21 6 21 7 




40 
50 


2877 
3312 


434 
435 
434 


8841 
8626 


216 
215 
215 


9210 
9814 


604 
604 
604 


.016 4503 
.016 2047 


2 456 
2456 
2455 


20 
10 




2 43 43 2 43 4 
3 64 5 64 8 65 1 
4 86 86 4 86 8 


23 



10 


0.444 3746 
4180 


434 


0.895 8411 
8195 


216 


0.496 0418 
1022 


604 


2.015 9592 
.015 7137 


2455 



50 


37 


5 107 5 108 108 5 
6 129 129 6 130 2 
7 150 5 151 2 151 9 




20 
30 


4615 
5049 


435 
434 


7980 
7764 


215 
216 


1626 
2230 


604 
604 


.015 4682 
.015 2228 


2455 
2454 


40 
30 




8 172 172 8 173 6 
9 193 5 194 4 195 3 




40 


5483 


434 


7549 


215 


2835 


605 


.014 9775 


2 453 


20 








50 


5918 


435 


7333 


216 


3439 


604 


.014 7322 


2 453 


10 












434 




215 




604 




2 453 








24 





0.444 6352 




0.895 7118 




0.496 4043 




2.014 4869 







36 


Tangent 




10 


6786 


434 


6902 


216 


4647 


604 


.014 2417 


2452 


50 




603 604 




20 
30 
40 


7220 
7655 
8089 


434 
435 
434 


6686 
6471 
6255 


216 
215 
216 


5252 
5856 
6460 


605 
604 
604 


.013 9966 
.013 7515 
013 5064 


2451 
2451 
2451 


40 
30 
20 




2 
3 
4 


60 3 60 4 
120 6 120 8 
180 9 181 2 
241 2 241 6 




50 


8523 


434 


6040 


215 


7065 


605 


.013 2614 


2450 


10 




5 


301 5 302 








434 




216 




604 




2450 






6 


361 8 362 4 


26 



10 
20 


0.444 8967 
9391 
9825 


434 
434 


0.895 5824 
5608 
5392 


216 
216 


0.496 7669 
8274 
8878 


605 
604 


2.013 0164 
.012 7715 
012 5267 


2449 
2448 



50 
40 


35 


7 
8 
9 


422 1 422 8 
482 4 483 2 
542 7 543 6 




30 
40 
50 


0.445 0260 
0694 
1128 


435 
434 
434 


5177 
4961 

4745 


215 
216 
216 


9483 
0.497 0087 
0692 


605 
604 
605 


.012 2818 
.012 0371 
.011 7923 


2 449 
2447 
2448 


30 
20 
10 




1 

2 


605 606 

60 5 60 6 
121 121 2 








434 




216 




605 




2 446 






3 


181 5 181 8 


26 





0.445 1562 




0.895 4529 




0.497 1297 




2.011 5477 







34 


4 


242 242 4 




10 
20 
30 


1996 
2430 
2864 


434 
434 
434 


4313 
4098 
3882 


216 
215 
216 


1901 
2506 
3111 


604 
605 
605 


.011 3030 
.011 0585 
.010 8139 


2 447 
2445 
2446 


50 
40 
30 




5 
6 

7 
8 


302 5 303 
363 363 6 
423 5 424 2 

484 484 8 




40 


3299 


435 


3666 


216 


3715 


604 


.010 5694 


2445 


20 




9 


544 5 545 4 




50 


3733 


434 


3450 


216 


4320 


605 


.010 3250 


2 444 


10 












434 




216 




605 




2 444 








27 



10 


0.445 4167 
4601 


434 


0.895 3234 
3018 


216 


0.497 4925 
5530 


605 


2.010 0806 
.009 8363 


2443 



50 


33 


Cotangent 




20 


5035 


434 


2802 


216 


6135 


605 


.009 5920 


2 443 


40 




2460 2450 




30 


5469 


434 


2586 


216 


6739 


604 


.009 3477 


2443 


30 




1 


246 245 




40 
50 


5903 
6337 


434 
434 


2370 
2154 


216 
216 


7344 
7949 


605 
605 


.009 1035 
.008 8594 


2 442 
2441 


20 
10 




2 
3 
4 


492 490 
738 735 
984 980 








434 




216 




605 




2 441 










28 





0.445 6771 




0.895 1938 




0.497 8554 




2.008 6153 







32 


5 
6 


1230 1225 
1476 1470 




10 


7205 


434 


1722 


216 


9159 


605 


.008 3712 


2 441 


50 




7 


1722 1715 




20 
30 


7639 
8073 


434 
434 


1506 
1290 


216 
216 


9764 
0.498 0369 


605 
605 


.008 1272 
.007 8832 


2 440 
2440 


40 
30 




8 
9 


1968 1960 
2214 2205 




40 


8507 


434 


1074 


216 


0974 


605 


.007 6393 


2 439 


20 




2440 2420 




50 


8941 


434 
434 


0857 


217 
216 


1579 


605 
606 


.007 3955 


2 438 
2439 


10 




1 

2 


244 243 
488 48b 


29 



10 


0.445 9375 
9809 


434 


0.895 0641 
0425 


216 


0.498 2185 
2790 


605 


2.007 1616 
.006 9079 


2437 



50 


31 


3 
4 


732 729 
976 972 




20 
30 
40 


0.446 0243 
0676 
1110 


434 
433 
434 


0209 
0.894 9992 
9776 


216 
217 
216 


3395 
4000 
4605 


605 
605 
605 


.0066641 
.006 4205 
.006 1768 


2438 
2436 
2437 


40 
30 
20 




5 
6 

7 
8 


1220 1215 
1464 1458 
1708 1701 
1952 1944 




50 


1544 


434 


9560 


216 


5211 


606 


.005 9332 


2 436 


10 




9 


2196 2187 








434 




216 




605 




2 435 








30 





0.446 1978 




0.894 9344 




0.498 5816 




2.005 6897 







30 








Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



63 30' 



160 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
26 30' 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Dili. 






Proportional Parts 


30 





0.446 1978 




0.894 9344 




0.498 5816 




2.005 6897 







30 








10 


2412 


434 


9127 


217 


6421 


605 


.005 4462 


2435 


50 




Sine 




20 
30 
40 


2846 
3280 
3714 


434 
434 
434 


8911 
8695 
8478 


216 
216 
217 


7027 
7632 
8238 


606 
605 
606 


.005 2028 
.004 9594 
.004 7160 


2434 
2434 
2434 


40 
30 
20 




433 

1 43 

2 86 


434 

3 43 4 

6 86 8 




50 


4147 


433 


8262 


216 


8843 


605 


.004 4727 


2 433 


10 




3 129 


9 130 2 








434 




217 




606 




2432 






4 173 


2 173 6 


31 





0.446 4581 




0.894 8045 




0.498 9449 




2.004 2295 







29 


5 216 


5 217 




10 
20 


5015 
5449 


434 
434 


7829 
7612 


216 
217 


499 0054 
0660 


605 
606 


.003 9863 
.003 7431 


2432 
2432 


50 
40 




6 259 
7 303 
8 316 


8 260 4 
1 303 8 
4 347 2 




30 


5883 


434 


7396 


216 


1265 


605 


003 5000 


2 431 


30 




9 389 


7 390 tf 




40 


6316 


433 


7179 


217 


1871 


606 


003 2570 


2 430 


20 










50 


6750 


434 


6963 


216 


2476 


605 


003 0139 


2431 


10 














434 




217 




606 




2429 










32 





0.446 7184 




0.894 6746 




499 3082 




2 002 7710 







28 


Cosine 




10 


7618 


434 


6530 


216 


3688 


606 


002 5281 


2429 


50 




216 


217 218 




20 


8051 


433 


6313 


217 


4294 


606 


002 2852 


2 429 


40 




1 21 


21 7 21 8 




30 


8485 


434 


6096 


217 


4899 


605 


.002 0424 


2 428 


30 




2 43 2 


43 4 43 




40 


8919 


434 


5880 


216 


5505 


606 


001 7996 


2428 


20 




3 64 8 


65 1 65 4 




50 


9353 


434 
433 


5663 


217 
217 


6111 


606 
606 


.001 5568 


2428 
2426 


10 




\ 86 4 
"> 108 


8b 8 87 2 
108 5 109 


























t) 129 6 


130 2 130 8 


33 



10 


0.446 9786 
447 0220 


434 


0.894 5446 
5230 


216 


0.499 6717 
7323 


606 


2 001 3142 
.001 0715 


2427 



50 


27 


7 151 2 
8 172 8 


151 9 152 6 
173 6 174 4 




20 


0654 


434 


5013 


217 


7929 


606 


.000 8289 


2426 


40 




9 194 4 


195 3 196 2 




30 


1087 


433 


4796 


217 


8534 


605 


.000 5864 


2425 


30 










40 


1521 


434 


4579 


217 


9140 


606 


.000 3439 


2 425 


20 










50 


1955 


434 
433 


4363 


216 
217 


9746 


606 
606 


.000 1014 


2425 
2424 


10 




Tangent 


34 





0.447 2388 




894 4146 




500 0352 




1 999 8590 







26 


605 


606 607 




10 


2822 


434 


3929 


217 


0958 


606 


.999 6167 


2 423 


50 




1 60 5 


60 6 60 7 




20 
30 
40 


3255 
3689 
4123 


433 
434 
434 
433 


3712 
3495 
3278 


217 
217 
217 
217 


1565 
2171 
2777 


607 
606 
606 
606 


.999 3744 
.999 1321 
.998 8899 


2 423 
2423 
2422 
2 422 


40 
30 
20 




2 121 
3 181 ."> 
1 212 

5 302 5 


121 2 121 4 
181 8 182 1 
212 4 242 8 
'503 303 5 




50 


4556 




3061 




3383 




.998 6477 




10 




6 363 


363 6 364 2 








434 




217 




606 




2 421 






7 123 5 


424 2 424 9 


35 



10 


447 4990 
5423 


433 


894 2844 
2628 


216 


0.500 3989 
4595 


606 


1.998 4056 
.998 1635 


2421 



50 


25 


8 481 
9 541 5 


484 8 485 6 
545 4 546 3 




20 


5857 


434 


2411 


217 


5202 


607 


997 9215 


2 420 


40 










30 


6290 


433 


2194 


217 


5808 


606 


.997 6795 


2 420 


30 










40 
50 


6724 
7157 


434 
433 
434 


1976 
1759 


218 
217 
217 


6414 
7021 


606 
607 
606 


.997 4376 
.997 1957 


2 419 
2419 
2418 


20 
10 




Cotangent 

^ 2440 2430 


36 



10 
20 


447 7591 
8024 
8458 


433 
434 


0.894 1542 
1325 
1108 


217 
217 


500 7627 
8233 
8840 


606 
607 


1.996 9539 
.996 7121 
.996 4703 


2418 
2418 



50 
40 


24 


1 214 213 

2 488 486 
3 732 720 ') 
4 976 972 




30 


8891 


433 


0891 


217 


9446 


606 


.996 2286 


2417 


30 




f> 1220 1215 




40 
50 


9325 
9758 


434 
433 
434 


0674 
0457 


217 
217 
217 


501 0053 
0659 


607 
606 
607 


.995 9870 
.995 7454 


2 416 
2416 
2416 


20 
10 




6 1161 1158 
7 1708 1701 
8 l'52 1944 


























9 219C 


2187 


37 





0.448 0192 




894 0240 




501 1266 




1.995 6038 







23 








10 


0625 


433 


0022 


218 


1872 


606 


.995 2623 


2415 


50 




2420 2410 




20 


1059 


434 


893 9805 


217 


2479 


607 


.995 0208 


2415 


40 




1 242 


241 




30 
40 
50 


1492 
1925 
2359 


433 
433 
434 
433 


9588 
9371 
9153 


217 
217 
218 
217 


3086 
3692 
4299 


607 
606 
607 
607 


.994 7794 
994 5380 
.994 2967 


2414 
2414 
2413 
2413 


30 
20 
10 




2 484 482 
3 726 723 
4 968 964 
5 1210 1205 


























6 1452 


1146 


38 





0.448 2792 




0.893 8936 




501 4906 




1.9940554 







22 


7 1694 


1687 




10 
20 


3225 
3659 


433 
434 


8719 
8501 


217 
218 


5513 
6119 


607 
606 


.993 8142 
.993 5730 


2412 
2412 


50 
40 




8 1936 1928 
9 2178 2169 




30 
40 
50 


4092 
4526 
4959 


433 
434 
433 


8284 
8066 
7849 


217 
218 
217 


6726 
7333 

7940 


607 
607 
607 


.993 3319 
.993 0908 
.992 8497 


2411 
2411 
2411 


30 
20 
10 




1 

2 


2400 

240 
480 








433 




217 




607 




2410 






3 


720 


39 





0.448 5392 




0.893 7632 




0.501 8547 




1 992 6087 







21 


4 


960 




10 


5825 


433 


7414 


218 


9154 


607 


.992 3678 


2 409 


50 




5 


1200 




20 
30 


6259 
6692 


434 

433 


7197 
6979 


217 
218 


9761 
502 0368 


607 
607 


.992 1269 
.991 8860 


2409 
2409 


40 
30 




6 
7 
8 


1440 
1680 
1920 




40 


7125 


433 


6762 


217 


0975 


607 


.991 6452 


2 408 


20 




9 


2160 




50 


7559 


434 


6544 


218 


1582 


607 


.991 4044 


2408 


10 














433 




218 




607 




2407 










40 





0.448 7992 




0.893 6326 




0.502 2189 




1.991 1637 







20 










Cosine 


Djff 


Suie 


Diff 


Cotangent 


DU, 


Tangent 


Diff. 


" 


' 


Proportional Parts 



63 20' 



SINES, COSINES, TANGENTS AND COTANGENTS 
26 40' 



161 



' 


" 


Sine 


Diff. 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 


40 





0.448 7992 




0.893 6326 




0.502 2189 




1 991 1637 







20 








10 


8425 


433 


6109 


217 


2796 


607 


.990 9230 


2 407 


50 










20 


8858 


433 


5891 


218 


3403 


607 


.990 6824 


2406 


40 










30 


9291 


433 


5674 


217 


4010 


607 


.990 4418 


2406 


30 










40 


9725 


434 


5456 


218 


4617 


607 


.990 2013 


2 405 


20 










50 


449 0158 


433 
433 


5238 


218 
217 


5225 


608 
607 


.989 9608 


2 405 
2404 


10 






Sine 


41 



10 


0.449 0591 
1024 


433 


0.893 5021 
4803 


218 


0.502 5832 
6439 


607 


1.989 7204 
.989 4800 


2404 



50 


19 


432 


433 434 




20 
30 
40 


1457 
1891 
2324 


433 
434 
433 


4585 
4367 
4150 


218 
218 
217 


7046 
7654 
8261 


607 
608 
607 


.989 2396 
.988 9993 
.988 7591 


2404 
2403 
2402 


40 
30 
20 




1 43 2 4} 3 43 4 

2 8G 4 Kb G 80 8 
3 129 129 9 130 2 
1 172 8 173 I 173 6 




e/1 


77^7 


433 


3Q3O 


218 


8869 


608 


.988 5188 


2403 


10 




<i '>K 


n ^M\ ."> *>i7 n 




jU 


( Dl 


433 


oyo^ 


218 




607 




2401 






t> 259 2 259 8 2bO 4 


42 



10 
20 


0.449 3190 
3623 
4056 


433 
433 


0.893 3714 
3496 
3278 


218 
218 


502 9476 
0.503 0083 
0691 


607 
608 


1.988 2787 
.988 0386 
987 7985 


2401 
2401 



50 
40 


18 


7 302 4 303 1 303 8 
8 ,m (> 34<> 4 347 2 
9 388 8 389 7 390 6 




30 


4489 


433 


3060 


218 


1299 


608 


.987 5585 


2 400 


30 










40 
50 


4922 
5355 


433 
433 


2842 
2624 


218 
218 


1906 
2514 


607 
608 


.987 3185 
.987 0786 


2 400 
2399 


20 
10 






Cosine 








434 




218 




607 




2399 










43 



10 
20 


0.449 5789 
6222 
6655 


433 
433 


0.893 2406 
2189 
1971 


217 
218 


0.503 3121 
3729 
4337 


608 
608 


1 986 8387 
.986 5988 
.986 3590 


2399 
2398 



50 
40 


17 


217 218 219 

1 21 7 21 8 21 9 
2 H 4 43 b 43 8 
3 bo 1 65 4 (>5 7 




30 


7088 


433 


1753 


218 


4944 


607 


.986 1193 


2 397 


30 




4 SO 8 87 2 87 




40 
50 


7521 
7954 


433 
433 
433 


1534 
1316 


219 
218 
218 


5552 
6160 


608 
608 
608 


.985 8796 
.985 6399 


2 397 
2397 
2396 


20 
10 




5 108 5 109 109 5 
G 1 JO 2 130 8 131 4 
7 HI 9 152 fl 153 3 
8 117 Mi 174 4 J75 2 


44 



10 


0.449 8387 
8820 


433 


0.893 1098 
0880 


218 


0.503 6768 
7375 


607 


1.985 4003 
.985 1608 


2395 



50 


16 


9 ! I9- 


> 3 19b 2 197 1 




20 


9253 


433 


0662 


218 


7983 


608 


.984 9213 


2395 


40 










30 
40 


9686 
04500119 


433 
433 


0444 
0226 


218 
218 


8591 
9199 


608 
608 


.984 6818 
.984 4424 


2395 
2394 


30 
20 






Tangent 




50 


0551 


432 


0008 


218 


9807 


608 


.984 2030 


2 394 


10 




60? 608 609 








433 




219 




608 




2394 






1 I bO 7 GO 8 bO 9 


45 





450 0984 




0.892 9789 




0.504 0415 




1.983 9636 







15 


2 IlL'l 4 121 b 121 8 




10 
20 
30 
40 


1417 
1850 
2283 
2716 


433 
433 
433 
433 


9571 
9353 
9135 
8916 


218 
218 
218 
219 


1023 
1631 
2239 
2847 


608 
608 
608 
608 


.983 7244 
.983 4851 
.983 2459 
.983 0068 


2 392 
2393 
2392 
2391 


50 
40 
30 
20 




3 IlKJ 1 182 4 182 7 
4 212 8 243 2 243 b 
5 ]() 5 304 304 5 
b 3b4 2 Jb4 8 3b5 4 
7 424 9 425 G 42b 3 




50 


3149 


433 
433 


8698 


218 
218 


3455 


608 
608 


.982 7677 


2 391 
2391 


10 




8 485 b 48b 4 487 2 
9 54b 3 547 2 548 1 


46 





0.450 3582 


All 


0.892 8480 


219 


0.504 4063 


609 


1.982 5286 


2 390 





14 








10 


4015 


4W 


8261 




4672 




.982 2896 




50 










20 
30 


4447 
4880 


432 
433 


8043 
7825 


218 
218 


5280 
5888 


608 
608 


.982 0506 
.981 8117 


2390 
2389 


40 
30 




Cotangent 




40 


5313 


433 


7606 


219 


6496 


608 


.981 5728 


2 389 


20 






2410 2400 




50 


5746 


433 
433 


7388 


218 
219 


7105 


609 
608 


.981 3340 


2 388 
2388 


10 




\ 


211 240 

482 480 


47 



10 
20 
30 
40 
50 


0.450 6179 
6612 
7044 
7477 
7910 
8343 


433 
432 
433 
433 
433 


0.892 7169 
6951 
6732 
6514 
6295 
6077 


218 
219 
218 
219 
218 


0.504 7713 
8321 
8930 
9538 
0.505 0147 
0755 


608 
609 
608 
609 
608 


1.981 0952 
.980 8565 
.980 6178 
980 3792 
.980 1406 
.979 9020 


2387 
2387 
2386 
2386 
2386 



50 
40 
30 
20 
10 


13 


\ 

8 
9 


723 720 
9G4 9GO 
1205 1200 
144b 1140 
Ih87 Ib80 
1928 1920 
21b9 21bO 








432 




219 




608 




2 385 










48 



10 
20 
30 
40 
50 


0.450 8775 
9208 
9641 
0.451 0074 
0506 
0939 


433 
433 
433 
432 
433 
433 


892 5858 
5640 
5421 
5202 
4984 
4765 


218 
219 
219 
218 
219 
219 


0.605 1363 
1972 
2581 
3189 
3798 
4406 


609 
609 
608 
609 
608 
609 


1.979 6635 
.979 4251 
.979 1866 
.978 9483 
.978 7100 
.978 4717 


2384 
2385 
2383 
2383 
2383 
2383 



50 
40 
30 
20 
10 


12 


1 

3 
4 

6 

7 
8 


2390 2380 

239 238 
478 47b 
717 714 
95G 952 
1195 1190 
1434 1428 
1G73 1G66 
1912 1904 


49 





0.451 1372 




0.892 4546 




0.505 5015 




1.978 2334 







11 


9 


2151 2142 




10 


1804 


432 


4328 


218 


5624 


609 


.977 9953 


2 381 


50 










20 
30 


2237 
2670 


433 
433 


4109 
3890 


219 
219 


6233 
6841 


609 
608 


.977 7571 
.977 5190 


2382 
2381 


40 
30 










40 


3102 


432 


3671 


219 


7450 


609 


977 2810 


2 380 


20 










50 


3535 


433 
432 


3452 


219 
218 


8059 


609 
609 


.977 0430 


2 380 
2380 


10 








50 





0.451 3967 




0.892 3234 




0.505 8668 




1 976 8050 







10 










Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


D.ff 


" 


' 


Proportional Parts 



63 10' 



162 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
26 60' 



' 


" 


Sine 


Diff. 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 


50 



10 


0.451 3967 
4400 


433 


0.892 3234 
3015 


219 


0.6058668 
9277 


609 


1.976 8060 
.976 5671 


2379 



50 


10 






20 


4833 


433 


2796 


219 


9886 


609 


.9763292 


2 379 


40 








30 


5265 


432 


2577 


219 


0.506 0495 


609 


.976 0914 


2378 


30 








40 


5698 


433 


2358 


219 


1104 


609 


.975 8536 


2 378 


20 








50 


6130 


432 


2139 


219 


1713 


609 


.975 6159 


2 377 


10 




Sine 








433 




219 




609 




2377 








51 



10 
20 


0.461 6563 
6996 
7428 


433 
432 


0.892 1920 
1701 
1482 


219 
219 


0.606 2322 
2931 
3540 


609 
609 


1.975 3782 
.975 1406 
.974 9030 


2376 
2376 



50 
40 


9 


1 

2 
3 


432 433 

43 2 43 3 
86 4 86 6 
129 6 129 9 




30 


7861 


433 


1263 


219 


4149 


609 


.974 6654 


2 376 


30 




4 


172 8 173 2 




40 
50 


8293 
8726 


432 
433 
432 


1044 
0825 


219 
219 
219 


4758 
5367 


609 
609 
610 


.974 4279 
.974 1905 


2 375 
2374 
2374 


20 
10 




5 
6 

7 


216 216 5 
259 2 259 8 
302 4 303 1 


52 





0.451 9158 




0.892 0606 




0.606 6977 




1.973 9631 







8 


8 
9 


345 6 346 4 
388 8 389 7 




10 


9591 


433 


0387 


219 


6586 


609 


.973 7157 


2 374 


50 








20 
30 
40 


0.452 0023 
0455 
0888 


432 
432 
433 


0168 
0.891 9949 
9729 


219 
219 
220 


7195 
7804 
8414 


609 
609 
610 


.973 4784 
.9732411 
.973 0039 


2 373 
2373 
2372 


40 
30 
20 




Cosine 




50 


1320 


432 


9510 


219 


9023 


609 


.972 7667 


2372 


10 




! 219 220 








433 




219 




610 




2 371 








53 



10 


0.462 1763 
2185 


432 


0.891 9291 
9072 


219 


0.606 9633 
0.507 0242 


609 


1.972 6296 
.972 2925 


2371 



50 


7 


1 

2 

3 


21 9 22 
43 8 44 
65 7 66 




20 


2618 


433 


8853 


219 


0851 


609 


.972 0554 


2 371 


40 




4 


87 6 88 




30 
40 
50 


3050 
3482 
3915 


432 
432 
433 


8633 
8414 
8195 


220 
219 
219 


1461 
2070 
2680 


610 
609 
610 


.971 8184 
.971 5815 
.971 3445 


2 370 
2369 
2370 


30 
20 
10 




5 
6 

7 
8 


109 5 110 
131 4 132 
153 3 154 
175 2 176 








432 




220 




610 




2 368 






9 


197 1 198 


54 





0.452 4347 




0.891 7976 




0.607 3290 




1.971 1077 







6 






10 


4779 


432 


7756 


219 


3899 


609 


.970 8709 


2 368 


50 








20 
30 


5212 
5644 


433 
432 


7537 
7317 


219 
220 


4509 
5118 


610 
609 


.970 6341 
.970 3973 


2368 
2368 


40 
30 




Tangent 




40 


6076 


432 


7098 


219 


5728 


610 


.970 1607 


2 366 


20 




609 610 611 




50 


6509 


433 


6878 


220 


6338 


610 


.969 9240 


2 367 


10 




1 60 9 61 61 1 








432 




219 




610 




2366 






2 121 8 122 122 2 


55 



10 
20 
30 


0.452 6941 
7373 
7806 
8238 


432 
433 
432 


0.891 6669 
6439 
6220 
6000 


220 
219 
220 


0.607 6948 
7557 
8167 
8777 


609 
610 
610 


1.969 6874 
.969 4509 
.969 2144 
.968 9779 


2365 
2365 
2365 



50 
40 
30 


5 


3 182 7 183 183 3 
4 243 6 244 244 4 
5 304 5 305 305 5 
6 365 4 366 366 6 
7 426 3 427 427 7 




40 
50 


8670 
9102 


432 
432 


5781 
5561 


219 
220 


9387 
9997 


610 
610 


.968 7415 
.968 5051 


2 364 
2364 


20 
10 




8 487 2 488 488 8 
9 548 1 549 549 9 








433 




219 




610 




2 363 






^ 


56 





0.452 9535 




0.891 6342 




0.608 0607 




1.968 2688 







4 






10 
20 


9967 
0.453 0399 


432 
432 


5122 
4902 


220 
220 


1217 
1827 


610 
610 


.968 0325 
.967 7963 


2363 
2362 


50 
40 




Cotangent 




30 


0831 


432 


4683 


219 


2437 


610 


.967 5601 


2362 


30 




2380 2370 




40 
50 


1263 
1696 


432 
433 
432 


4463 
4243 


220 
220 
219 


3047 
3657 


610 
610 
610 


.9673240 
.967 0879 


2361 
2361 
2361 


20 
10 




1 

3 

4 


238 237 
476 474 
714 711 
952 948 


67 



10 


0.453 2128 
2560 


432 


0.891 4024 
3804 


220 


0.608 4267 
4877 


610 


1.966 8618 
.966 6158 


2360 



50 


3 


5 
6 


1190 1185 
1428 1422 




20 
30 
40 


2992 
3424 
3856 


432 
432 
432 


3584 
3364 
3145 


220 
220 
219 


5487 
6098 
6708 


610 
611 
610 


.966 3798 
.966 1439 
.965 9080 


2360 
2359 
2359 


40 
30 
20 




7 
8 
9 


1666 1659 
1904 1896 
2142 2133 




50 


4288 


432 


2925 


220 


7318 


610 


.965 6722 


2358 


10 




2360 2350 








433 




220 




611 




2358 






1 


236 235 


68 





0.453 4721 




0.891 2705 




0.608 7929 




1.965 4364 







2 


2 


472 470 




10 
20 
30 
40 


5153 
5585 
6017 
6449 


432 
432 
432 
432 


2485 
2265 
2045 
1825 


220 
220 
220 
220 


8539 
9149 
9760 
0.509 0370 


610 
610 
611 
610 


.965 2007 
964 9650 
.964 7293 
.964 4937 


2357 
2357 
2357 
2356 


50 
40 
30 
20 




3 
4 
5 
6 

7 


708 705 
944 940 
1180 1175 
1416 1410 
1652 1645 




50 


6881 


432 
432 


1605 


220 
220 


0980 


610 
611 


.964 2582 


2355 
2355 


10 




8 
9 


1888 1880 
2124 2115 


59 





0.463 7313 




0.891 1385 




0.609 1591 




1.964 0227 







1 






10 


7745 


432 


1165 


220 


2201 


610 


.963 7872 


2355 


50 








20 


8177 


432 


0945 


220 


2812 


611 


.963 5518 


2354 


40 








30 


8609 


432 


0725 


220 


3423 


611 


.9633164 


2354 


30 








40 


9041 


432 


0505 


220 


4033 


610 


.963 0810 


2354 


20 








50 


9473 


432 


0285 


220 


4644 


611 


.962 8458 


2352 


10 












432 




220 




610 




2 353 








60 





0.453 9905 




0.891 0065 




0.609 6264 




1.962 6105 
















Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



63 0' 



SINES, COSINES, TANGENTS AND COTANGENTS 
27 0' 



163 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Proportional Parts 








0.453 9905 




0.891 0065 




0.509 5254 




1.962 6105 







60 






10 


0.454 0337 


432 


0.890 9845 


220 


5865 


611 


.962 3753 


2 352 


50 




Sine 




20 
30 
40 
50 


0769 
1201 
1633 
2065 


432 
432 
432 
432 


9625 
9405 
9185 
8964 


220 
220 
220 
221 


6476 
7087 
7697 
8308 


611 
611 
610 
611 


.962 1401 
.961 9050 
.961 6700 
.961 4349 


2 352 
2351 
2350 
2351 


40 
30 
20 
10 




i 

2 
3 


431 432 

43 1 43 2 
86 2 86 4 
129 3 129 6 








432 




220 




611 




2349 






4 


172 4 172 8 


1 





0.454 2497 




0.890 8744 




0.509 8919 




1.961 2000 







59 


5 


215 5 216 




10 
20 


2929 
3360 


432 
431 


8524 
8304 


220 
220 


9530 
0.510 0141 


611 
611 


.960 9650 
.960 7301 


2350 
2349 


50 
40 




6 

7 
8 


258 6 259 2 
301 7 302 4 
344 8 345 6 




30 


3792 


432 


8083 


221 


0752 


611 


.960 4953 


2348 


30 




9 


387 9 388 8 




40 


4224 


432 


7863 


220 


1363 


611 


.960 2605 


2348 


20 








50 


4656 


432 


7643 


220 


1974 


611 


.960 0257 


2348 


10 












432 




220 




611 




2 347 








2 





0.454 5088 




0.890 7423 




0.510 2585 




1.969 7910 







58 


Cosine 




10 
20 


5520 
5952 


432 
432 


7202 
6982 


221 
220 


3196 
3807 


611 
611 


.959 5564 
.959 3218 


2 346 
2346 


50 
40 




220 221 222 

1 22 22 1 22 2 




30 


6383 


431 


6761 


221 


4418 


611 


.959 0872 


2346 


30 




2 44 44 2 44 4 




40 
50 


6815 
7247 


432 
432 
432 


6541 
6321 


220 
220 
221 


5029 
5640 


611 
611 
612 


.958 8526 
.958 6182 


2346 
2344 
2345 


20 
10 




3 66 66 3 66 ft 
4 88 88 4 88 8 
5 110 110 5 111 


3 



10 


0.454 7679 
8111 


432 


0.890 6100 
5880 


220 


0.510 6252 
6863 


611 


1.968 3837 
.958 1493 


2344 



50 


67 


6 132 132 6 133 2 
7 154 154 7 155 4 

8 1 176 176 8 177 6 




20 


8542 


431 


5659 


221 


7474 


611 


.957 9150 


2343 


40 




198 198 9 199 8 




30 


8974 


432 


5439 


220 


8085 


611 


.957 6807 


2343 


30 








40 


9406 


432 


5218 


221 


8697 


612 


.957 4464 


2 343 


20 








50 


9838 


432 
431 


4997 


221 
220 


9308 


611 
611 


.957 2122 


2342 
2342 


10 




Tangent 


4 





455 0269 




0.890 4777 




0.610 9919 




1.966 9780 







56 


610 611 




10 


0701 


432 


4556 


221 


0511 0531 


612 


.956 7439 


2 341 


50 




i 


61 61 1 




20 
30 
40 
50 


1133 
1564 
1996 
2428 


432 
431 
432 
432 


4336 
4115 
3894 
3674 


220 
221 
221 
220 


1142 
1754 
2365 
2977 


611 
612 
611 
612 


.956 5098 
.956 2757 
.956 0417 
.955 8078 


2 341 
2341 
2340 
2339 


40 
30 
20 
10 




2 
3 
4 
5 
6 


122 122 2 
183 183 3 
244 244 4 
305 305 5 
366 366 6 








431 




221 




611 




2 339 






7 


427 427 7 


5 



10 


465 2859 
3291 


432 


0.890 3453 
3232 


221 


0.611 3588 
4200 


612 


1.955 5739 
.955 3400 


2339 



50 


55 


8 J488 488 8 
9 i549 549 9 




20 
30 
40 


3723 
4154 
4586 


432 
431 
432 


3011 
2791 
2570 


221 
220 
221 


4812 
5423 
6035 


612 
611 
612 


.955 1062 
.954 8724 
.954 6387 


2 338 
2338 
2337 


40 
30 
20 




1 

2 


612 613 

61 2 61 3 
122 4 122 6 




50 


5017 


431 
432 


2349 


221 
221 


6647 


612 
612 


.954 4050 


2 337 
2337 


10 




3 
4 


183 6 183 9 
244 8 245 2 


6 





0.455 5449 




0.890 2128 




0.511 7269 




1.954 1713 







54 


5 


306 306 5 




10 
20 


5881 
6312 


432 
431 


1907 
1686 


221 
221 


7870 
8482 


611 
612 


.953 9377 
.953 7042 


2 336 
2335 


50 
40 




6 

7 
8 


367 2 367 8 
428 4 429 1 
489 R 490 4 




30 


6744 


432 


1465 


221 


9094 


612 


.953 4707 


2335 


30 




9 550 8 551 7 




40 


7175 


431 


1244 


221 


9706 


612 


.953 2372 


2335 


20 








50 


7607 


432 


1024 


220 


0.512 0318 


612 


.953 0038 


2 334 


10 












431 




221 




612 




2 334 








7 





0.456 8038 




0.890 0803 




0.512 0930 




1.952 7704 







53 


Cotangent 




10 


8470 


432 


0582 


221 


1542 


612 


.952 5371 


2333 


50 




2350 2340 




20 


8901 


431 


0361 


221 


2154 


612 


.952 3038 


2 333 


40 




1 2:?5 2.U 




30 


9333 


432 


0140 


221 


2766 


612 


.952 0705 


2 333 


30 




2 


470 468 




40 
50 


9764 
456 0196 


431 
432 
431 


0.889 9918 
9697 


222 
221 
221 


3378 
3990 


612 
612 
612 


.951 8373 
.951 6042 


2 332 
2331 
2331 


20 
10 




3 
4 

5 


705 702 
940 936 
1175 1170 


8 



10 


0.456 0627 
1059 


432 


0.889 9476 
9255 


221 


0.512 4602 
5214 


612 


1.951 3711 
.951 1380 


2331 




50 


62 


6 UK) 1404 
7 1615 1638 
8 18SO 1872 




20 


1490 


431 


9034 


221 


5826 


612 


.950 9050 


2 330 


40 




9 2115 2106 




30 
40 
50 


1922 
2353 
2785 


432 
431 
432 
431 


8813 
8592 
8370 


221 
221 
222 
221 


6438 
7051 
7663 


612 
613 
612 
612 


.950 6720 
.950 4391 
.950 2062 


2 330 
2329 
2329 
2329 


30 
20 
10 




1 
3 


2330 2320 

233 232 
466 464 
699 696 


9 





0.456 3216 




0.889 8149 




0.512 8276 




1.949 9733 







51 


4 


932 928 




10 


3647 


431 


7928 


221 


8888 


613 


.949 7405 


2 328 


50 




5 


1165 11 GO 




20 
30 
40 


4079 
4510 
4941 


432 
431 
431 


7707 
7485 
7264 


221 
222 
221 


9500 
0.513 0112 
0725 


612 
612 
613 


.949 5078 
.949 2750 
.949 0424 


2 327 
2328 
2326 


40 
30 
20 




6 ! 
7 
8 
9 


Ii98 1392 
1631 1624 
1864 1856 
2097 2088.0 




50 


5373 


432 


7043 


221 


1337 


612 


.948 8097 


2 327 


10 












431 




221 




613 




2 325 








10 





0.456 5804 




0.889 6822 




0.513 1950 




1.948 6772 







50 








Cosine 


Diff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



62 50' 



164 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
27 10' 



' 


- 


Sine 


Diff 


Conine 


Diff 


Tangent 


Diff 


Cotangent 


Diff 






Pioportional Parts 


10 





466 6804 




0.889 6822 




0.513 1960 




1.948 6772 







50 








10 


6235 


431 


6600 


222 


2562 


612 


.948 3446 


2326 


50 










20 


6667 


432 


6379 


221 


3175 


613 


.948 1121 


2325 


40 






Sine 




30 


7098 


431 


6157 


222 


3787 


612 


.947 8797 


2 324 


30 




430 


431 432 




40 


7529 


431 


5936 


221 


4400 


613 


.947 6473 


2 324 


20 




1 43 


43 1 43 2 




50 


7961 


432 


5714 


222 


5013 


613 


.947 4149 


2 324 


10 




2 86 86 2 86 4 








431 




221 




612 




2323 






3 129 


129 3 129 


11 





0.456 8392 




0.889 5493 




0.513 5625 




1.947 1826 







49 


4 172 


172 4 172 8 




10 
20 


8823 
9254 


431 
431 


5272 
5050 


221 
222 


6238 
6851 


613 
613 


.946 9503 
.946 7181 


2323 
2322 


50 
40 




5 215 

6 258 
7 301 


215 5 210 
258 6 259 2 
301 7 302 4 




30 


9686 


432 


4828 


222 


7463 


612 


.946 4859 


2 322 


30 




8 314 


344 8 345 6 




40 


0.457 0117 


431 


4607 


221 


8076 


613 


.946 2537 


2 322 


20 




9 387 


387 9 388 8 




50 


0548 


431 


4385 


222 


8689 


613 


946 0216 


2321 


10 














431 




221 




613 




2 320 










12 





0.467 0979 




0.889 4164 




0.513 9302 




1.945 7896 







48 




Cosine 




10 
20 
30 


1410 
1842 
2273 


431 
432 
431 


3942 
3720 
3499 


222 
222 
221 


9915 
0.514 0528 
1141 


613 
613 
613 


.945 5575 
945 3256 
.945 0936 


2 321 
2319 
2320 


50 
40 
30 




221 

1 22 
2 44 


222 223 

1 22 2 22 3 

f > AA A AA f, 




40 


2704 


431 


3277 


222 


1754 


613 


.944 8618 


2 318 


20 




3 06 3 60 6 00 9 




50 


3135 


431 


3055 


222 


2367 


613 


.944 6299 


2 319 


10 




4 88 4 88 8 89 2 








431 




221 




613 




2 318 






5 IK 


5 111 111 5 


13 



10 


0.467 3566 
3997 


431 


889 2834 
2612 


222 


0.614 2980 
3593 


613 


1.9443981 
.944 1664 


2317 



50 


47 


132 
7 154 
8 17f 


13 i 2 133 8 
7 155 1 150 1 
8 177 fi 178 4 




20 


4429 


432 


2390 


222 


4206 


613 


943 9347 


2 317 


40 




9 198 9 199 8 200 7 




30 


4860 


431 


2168 


222 


4819 


613 


.943 7030 


2 317 


30 










40 


5291 


431 


1947 


221 


5432 


613 


.943 4714 


2316 


20 










50 


5722 


431 
431 


1725 


222 
222 


6045 


613 
613 


.943 2398 


2316 
2315 


10 






Tangent 


14 



10 
20 


0.457 6153 
6584 
7015 


431 
431 


0.889 1503 
1281 
1059 


222 
222 


0.514 6658 
7272 
7885 


614 
613 


1.943 0083 
942 7768 
.942 5453 


2315 
2315 



50 
40 


46 


1 


612 613 

01 2 61 3 
122 1 122 6 




30 
40 
50 


7446 
7877 
8308 


431 
431 
431 
431 


0837 
0615 
0393 


222 
222 
222 
222 


8498 
9112 

9725 


613 
614 
613 
613 


942 3139 
.942 0826 
.941 8513 


2314 
2313 
2313 
2313 


30 
20 
10 




3 
4 
5 

b 


183 6 183 9 
241 8 245 2 
300 300 5 
307 2 307 8 
428 1 429 1 


15 





467 8739 




889 0171 




0.615 0338 




1 941 6200 







45 


8 


4K9 490 4 




10 


9170 


431 


888 9949 


222 


0952 


614 


.941 3888 


2312 


50 




9 


550 8 551 7 




20 
30 


9601 
458 0032 


431 
431 


9727 
9505 


222 
222 


1565 
2179 


613 
614 


941 1576 
940 9264 


2 312 
2312 


40 
30 






614 615 




40 
50 


0463 
0894 


431 
431 


9283 
9061 


222 
222 


2792 
3406 


613 
614 


940 6953 
940 4643 


2311 
2310 


20 
10 




1 
2 


61 4 61 5 
122 8 123 
184 2 184 5 








431 




222 




613 




2 310 






* 4 


245 246 


16 





0.458 1325 




888 8839 




515 4019 




1 940 2333 







44 


5 


307 307 5 




10 
20 
30 


1756 
2187 
2618 


431 
431 
431 


8617 
8395 
8173 


222 
222 
222 


4633 
5247 
5860 


614 
614 
613 


.940 0023 
.939 7714 
.939 5405 


2 310 
2309 
2309 


50 
40 
30 





7 
8 
9 


308 4 369 
429 8 430 5 
491 2 492 
552 6 553 5 




40 


3049 


431 


7951 


222 


6474 


614 


.939 3096 


2 309 


20 










50 


3480 


431 


7728 


223 


7088 


614 


.939 0789 


2 307 


10 








4 






430 




222 




614 




2 308 










17 



10 
20 
30 


0.458 3910 
4341 
4772 
5203 


431 
431 
431 


0.888 7506 
7284 
7062 
6839 


222 
222 
223 


0.515 7702 
8315 
8929 
9543 


613 
614 
614 


1.938 8481 
.938 6174 
.938 3867 
.938 1561 


2307 
2307 
2306 



50 
40 
30 


43 


< 

1 


Cotangent 

2330 2320 

2.33 232 
400 401 




40 
50 


5634 
6065 


431 
431 
431 


6617 
6395 


222 
222 
223 


0.516 0157 
0771 


614 
614 
614 


937 9255 
.937 6950 


2 306 
2305 
2305 


20 
10 




3 
4 


099 096 
932 928 
1105 1160 


18 



10 


0.458 6496 
6926 


430 


0.888 6172 
5950 


222 


0.516 1385 
1999 


614 


1 937 4645 
.937 2341 


2304 



50 


42 




7 I 
8 1 


1398 1392 
1631 1624 
1864 1850 




20 


7357 


431 


5728 


222 


2613 


614 


937 0037 


2 304 


40 




9 


2097 2088 




30 
40 


7788 
8219 


431 
431 


5505 
5283 


223 
222 


3227 
3841 


614 
614 


.936 7733 
.936 5430 


2 304 
2303 


30 
20 




2310 2300 




50 


8649 


430 
431 


5060 


223 
222 


4455 


614 
614 


.936 3127 


2 303 
2302 


10 




1 

2 


231 230 
462 460 


19 





0.468 9080 




0.888 4838 




0.616 5069 




1 936 0825 







41 


3 
4 


693 690 
924 920 




10 
20 
30 
40 
50 


9511 
9942 
459 0372 
0803 
1234 


431 
431 
430 
431 
431 


4615 
4393 
4170 
3948 
3725 


223 
222 
223 
222 
223 


5683 
6298 
6912 
7526 
8140 


614 
615 
614 
614 
614 


.935 8523 
.935 6221 
.935 3920 
.935 1620 
934 9320 


2 302 
2302 
2301 
2300 
2300 


50 
40 
30 
20 
10 




5 
6 
7 
8 
9 


li:>5 1150 
1386 1380 
1617 1610 
1848 1840 
2079 2070 








431 




222 




615 




2 300 










20 





459 1665 




0.888 3503 




0.516 8765 




1.934 7020 







40 










Cosine 


Diff 


Si no 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



62 40' 



SINES, COSINES, TANGENTS AND COTANGENTS 
27 20' 



165 



' 


" 


Sine 


DifT 


Cosine 


DifT 


Tangent 


Difl 


Cotangent 


Diff * 






Proportional Parts 


20 





459 1665 




0.888 3503 




0.516 8755 




1.934 7020 







40 






10 
20 


2095 
2526 


430 
431 


3280 
3057 


223 
223 


9369 
9983 


614 
614 


.934 4721 
.934 2422 


2299 
2299 


50 
40 




Sine 




30 


2957 


431 


2835 


222 


0.517 0598 


615 


.934 0123 


2299 


30 




430 431 




40 


3387 


430 


2612 


223 


1212 


614 


.933 7825 


2 298 


20 




i 


43 43 1 




50 


3818 


431 
430 


2389 


223 
223 


1827 


615 
614 


.933 5528 


2 297 
2297 


10 




3 


86 86 2 
129 129 3 


21 



10 


0.459 4248 
4679 


431 


0.888 2166 
1944 


222 


0.617 2441 
3056 


615 


1.933 3231 
.933 0934 


2297 



50 


39 


4 172 172 4 
.") I2H 215 5 

6 258 258 6 




20 


5110 


431 


1721 


223 


3670 


614 


932 8638 


2296 


40 




7 J301 301 7 




30 
40 


5540 
5971 


430 
431 


1498 
1275 


223 
223 


4285 
4900 


615 
615 


932 6342 
.932 4046 


2296 
2296 


30 
20 




8 |344 344 8 
9 1387 387 !) 




50 


6401 


430 


1053 


222 


5514 


614 


.932 1751 


2 295 


10 












431 




223 




615 




2294 








22 



10 


0.459 6832 
7263 


431 


0.888 0830 
0607 


223 


0.517 6129 
6744 


615 


1.931 9457 
931 7163 


2294 



50 


38 


Cosine 




20 


7693 


430 


0384 


223 


7358 


614 


.931 4869 


2 294 


40 




222 223 224 




30 
40 


8124 
8554 


431 
430 


0161 
887 9938 


223 
223 


7973 
8588 


615 
615 


931 2576 
931 0283 


2293 
2293 


30 
20 




1 22 2 22 3 22 4 
2 11 1 116 44 8 
3 Of) 6 66 ') 67 2 




50 


8985 


431 


9715 


223 


9203 


615 


930 7991 


2292 


10 




I 88 8 8<) 2 89 6 








430 




223 




615 




2292 






> ill n in :> 112 o 


23 





459 9415 




887 9492 




517 9818 




1.930 5699 







37 


b !l55 2 13 ^ 8 I'M 4 




10 
20 
30 


9846 
460 0276 
0707 


431 
430 
431 


9269 
9046 
8823 


223 
223 
223 


0.518 0433 
1048 
1663 


615 
615 
615 


930 3407 
930 1116 
929 8825 


2 292 
2291 
2291 


50 
40 
30 




7 'irr> i 150 i IV) 8 

8 ,177 fi 178 4 17!) 2 
9 '199 8 200 7 201 b 




40 


1137 


430 


8600 


223 


2278 


615 


.929 6535 


2 290 


20 








50 


1567 


430 


8377 


223 


2893 


615 


929 4245 


2 290 


10 












431 




223 




615 




2 289 






Taneent 


24 



10 
20 


460 1998 
2428 
2859 


430 
431 


0.887 8154 
7931 
7708 


223 
223 


518 3508 
4123 
4738 


615 
615 


1.929 1956 
.928 9667 
928 7378 


2289 
2289 



50 
40 


36 


i 


614 615 

bl i 61 5 
122 8 123 




30 


3289 


430 


7484 


224 


5353 


615 


928 5090 


2 288 


30 




3 


1S1 1 181 5 




40 


3719 


430 


7261 


223 


5968 


615 


.928 2802 


2 288 


20 




4 


215 6 216 




50 


4150 


431 
430 


7038 


223 
223 


6583 


615 
616 


928 0515 


2 287 
2287 


10 




6 


307 307 5 
368 4 369 


25 



10 


0.460 4580 
5011 


431 


887 6815 
6592 


223 


0.518 7199 
7814 


615 


1 927 8228 
.927 5942 


2286 



50 


35 


8 


429 8 430 5 
191 2 492 
552 6 r >55 5 




20 


5441 


430 


6368 


224 


8429 


615 


.927 3656 


2 286 


40 








30 


5871 


430 


6145 


223 


9045 


616 


927 1370 


2 286 


30 




616 617 




40 


6302 


431 


5922 


223 


9660 


615 


926 9085 


2285 


20 




1 


01 6 61 7 




50 


6732 


430 
430 


5698 


224 
223 


519 0275 


615 
616 


.926 6800 


2 285 
2284 


10 




3 

4 


1252 1 23 4 

|184 8 185 1 
216 4 246 8 


26 



10 


460 7162 
7592 


430 


0.887 5475 
5252 


223 


0.519 0891 
1506 


615 


1.926 4516 
.926 2232 


2284 



50 


34 





308 308 5 
169 6 370 2 




20 
30 
40 


8023 
8453 
8883 


431 
430 
430 


5028 
4805 
4581 


224 
223 
224 


2122 
2737 
3353 


615 
615 
616 


925 9949 
.925 7666 
.925 5383 


2283 
2283 
2283 


40 
30 
20 




7 
8 
9 


431 2 1U ) 
4'12 8 493 6 
551 4 555 3 




50 


9314 


431 


4358 


223 


3968 


615 


925 3101 


2 282 


10 












430 




224 




616 




2282 








27 



10 
20 
30 
40 


0.460 9744 
0.461 0174 
0604 
1034 
1465 


430 
430 
430 
431 


0.887 4134 
3911 
3687 
3464 
3240 


223 
224 
223 
224 


0.519 4584 
5200 
5815 
6431 
7047 


616 
615 
616 
616 


1.9250819 
924 8538 
924 6257 
924 3977 
.924 1697 


2281 
2281 
2280 
2280 



50 
40 
30 
20 


33 


( 

1 i 
2 
3 


Cotangent 

2300 2290 

230 229 
460 458 
690 687 




50 


1895 


430 


3017 


223 


7663 


616 


923 9417 


2280 


10 




4 


920 916 








430 




224 




615 




2 279 






5 


1150 1145 


28 



10 
20 


0.461 2325 
2755 
3185 


430 
430 


0.887 2793 
2570 
2346 


223 
224 


519 8278 
8894 
9510 


616 
616 


1 923 7138 
923 4859 
.923 2581 


2279 
2278 



50 
40 


32 


6 

7 
8 
9 


1380 1371 
llilO 1603 
1810 1832 
2070 2061 




30 


3615 


430 


2122 


224 


0.520 0126 


616 


.923 0303 


2 278 


30 








40 


4046 


431 


1899 


223 


0742 


616 


.922 8026 


2277 


20 




2280 2270 




50 


4476 


430 
430 


1675 


224 
224 


1358 


616 
616 


.922 5749 


2 277 
2277 


10 




1 

2 


228 227 
456 454 


29 



10 
20 


0.461 4906 
5336 
5766 


430 
430 


0.887 1451 
1227 
1004 


224 
223 


0.520 1974 
2590 
3206 


616 
616 


1.922 3472 
.922 1196 
.921 8920 


2276 
2276 



50 
40 


31 


3 
4 
5 
6 


681 681 
912 908 
1140 1135 
1368 1362 




30 
40 
50 


6196 
6626 
7056 


430 
430 
430 


0780 
0556 
0332 


224 
224 
224 


3822 
4438 
5054 


616 
616 
616 


.921 6645 
.921 4370 
.921 2095 


2275 
2275 
2275 


30 
20 
10 




7 
8 
9 


1596 1589 
1824 1816 
2052 2043 








430 




224 




617 




2 274 








30 





0.461 7486 




0.887 0108 




520 5671 




1.920 9821 







30 








Cosmo 


Diff 


Sine 


Diff 


Cotangent 


DitT 


Tangent 


Diff. 


" 


' 


Proportional Parts 



62 30' 



166 



TEN SECOND NATURAL TRIGONOMETRIC FUNCTIONS 
27 30' 



' 


" 


Sine 


Diff 


Cosine 


Diff 


Tangent 


Diff 


Cotangent 


Diff. 






Proportional Parts 


30 





0.461 7486 




0.887 0108 




0.520 5671 




1.920 9821 







30 








10 


7916 


430 


0.886 9884 


224 


6287 


616 


.920 7548 


2273 


50 










20 


8346 


430 


9661 


223 


6903 


616 


.920 5274 


2 274 


40 










30 


8776 


430 


9437 


224 


7519 


616 


.920 3002 


2272 


30 










40 


9206 


430 


9213 


224 


8136 


617 


.920 0729 


2 273 


20 










50 


9636 


430 


8989 


224 


8752 


616 


.919 8457 


2272 


10 














430 




224 




616 




2 272 








Sine 


31 



10 


0.4620066 
0496 


430 


0.886 8765 
8541 


224 


0.520 9368 
9985 


617 


1.919 6185 
.919 3915 


2270 



50 


29 




429 430 




20 
30 


0926 
1356 


430 
430 


8317 
8093 


224 
224 


0.521 0601 
1218 


616 
617 


.919 1644 
.918 9374 


2 271 
2270 


40 
30 




3 


42 9 43 
85 8 86 
128 7 129 




40 


1786 


430 


7869 


224 


1834 


616 


.918 7104 


2 270 


20 




4 


171 6 172 




50 


2216 


430 
430 


7645 


224 
225 


2451 


617 
616 


.918 4834 


2270 
2269 


10 




5 
6 


214 5 215 
257 4 258 


32 



10 


0.462 2646 
3076 


430 


0.886 7420 
7196 


224 


0.521 3067 
3684 


617 


1.918 2665 
.918 0297 


2268 



50 


28 


8 
9 


300 3 301 
343 2 344 
386 1 387 




20 


3506 


430 


6972 


224 


4300 


616 


.917 8029 


2 268 


40 










30 


3935 


429 


6748 


224 


4917 


617 


.917 5761 


2268 


30 










40 


4365 


430 


6524 


224 


5534 


617 


.917 3494 


2 267 


20 










50 


4795 


430 


6300 


224 


6150 


616 


.917 1227 


2 267 


10 






Cosine 








430 




225 




617 




2267 










33 



10 


0.462 5225 

5655 


430 


0.886 6075 
5851 


224 


0.621 6767 
7384 


617 


1 916 8960 
.916 6694 


2266 



50 


27 


223 

1 22 

2 44 


224 225 

3 22 4 22 5 
6 44 8 45 




20 


6085 


430 


5627 


224 


8001 


617 


.916 4429 


2 265 


40 




3 66 67 2 67 5 




30 


6514 


429 


5403 


224 


8617 


616 


916 2163 


2266 


30 




1 89 2 89 6 90 




40 
50 


6944 
7374 


430 
430 
430 


5178 
4954 


225 
224 
224 


9234 
9851 


617 
617 
617 


.915 9899 
.915 7634 


2 264 
2265 
2264 


20 
10 




5 111 5 112 112 5 
6 133 8 134 4 135 
7 156 1 156 8 lf>7 5 
8 178 4 179 2 180 


34 





0.462 7804 




0.886 4730 




0.522 0468 




1.916 6370 







26 


9 200 7 201 b 202 5 




10 


8234 


430 


4505 


225 


1085 


617 


.915 3107 


2 263 


50 










20 


8663 


429 


4281 


224 


1702 


617 


9150844 


2263 


40 










30 
40 


9093 
9523 


430 
430 


4056 
3832 


225 
224 


2319 
2936 


617 
617 


914 8581 
914 6319 


2 263 
2262 


30 
20 






Tangent 




50 


9953 


430 


3608 


224 


3553 


617 


.914 4057 


2262 


10 




616 617 618 








429 




225 




617 




2 262 






1 61 


b 61 7 61 8 


35 





0.463 0382 




0.886 3383 




0.522 4170 




1.914 1795 







25 


2 123 2 123 4 123 b 




10 
20 
30 
40 


0812 
1242 
1671 
2101 


430 
430 
429 
430 


3159 
2934 
2710 
2485 


224 
225 
224 
225 


4787 
5405 
6022 
6639 


617 
618 
617 
617 


.913 9534 
.913 7274 
.913 5014 
913 2754 


2 261 
2260 
2260 
2260 


50 
40 
30 
20 




3 181 8 185 1 185 4 
4 215 4 216 8 247 2 
5 308 308 5 309 
b 369 6 370 2 370 8 
7 431 2 431 9 432 6 




50 


2531 


430 
429 


2260 


225 
224 


7256 


617 
618 


.913 0495 


2259 
2259 


10 




| 492 8 493 b 494 4 
<J 554 4 555 3 556 2 


36 





0.463 2960 




0.886 2036 




0.522 7874 




1.912 8236 







24 








10 


3390 


430 


1811 


225 


8491 


617 


.912 5977 


2 259 


50 










20 
30 


3820 
4249 


430 
429 


1587 
1362 


224 
225 


9108 
9726 


617 
618 


.912 3719 
.912 \462 


2258 
2257 


40 
30 




Cotangent 




40 


4679 


430 


1137 


225 


0.523 0343 


617 


.911 9204 


2 258 


20 






2280 2270 




50 


5108 


429 
430 


0912 


225 
224 


0961 


618 
617 


.911 6948 


2 256 
2257 


10 




i 


228 227 
456 454 


37 



10 
20 


0.463 5538 
5968 
6397 


430 
429 


0.886 0688 
0463 
0238 


225 
225 


0.523 1578 
2196 
2813 


618 
617 


1.911 4691 
.911 2435 
.911 0180 


2256 
2255 



50 
40 


23 


3 
4 
5 
b 


684 681 
912 908 
1140 1135 
1368 1362 




30 
40 

50 


6827 
7256 
7686 


430 
429 
430 


0013 
0.885 9789 
9564 


225 
224 
225 


3431 
4048 
4666 


618 
617 
618 


.910 7924 
.910 5670 
.910 3415 


2 256 
2254 
2255 


30 
20 
10 




7 
8 
9 


1596 1589 
1824 181b 
2052 2043 








429 




225 




618 




2253 








oocn 99RO 


38 



10 


0.463 8115 
8545 


430 


0.885 9339 
9114 


225 


0.523 5284 
5901 


617 


1.910 1162 
.909 8908 


2254 



50 


22 


1 


4OU &4O\I 

226 225 
452 450 




20 
30 

40 
50 


8974 
9404 
9833 
464 0263 


429 
430 
429 
430 
429 


8889 
8664 
8439 
8214 


225 
225 
225 
225 
225 


6519 
7137 
7755 
8373 


618 
618 
618 
618 
617 


.909 6655 
.909 4402 
.909 2150 
.908 9898 


2 253 
2253 
2252 
2252 
2251 


40 
30 
20 
10 




3 
4 
5 
6 

8 


678 675 
904 900 
1130 1125 
1356 1350 
1582 1575 
1808 1800 


39 





0.464 0692 




0.885 7989 




523 8990 




1.908 7647 







21 


9 


2034 2025 




10 


1122 


430 


7764 


225 


9608 


618 


908 5396 


2 251 


50 










20 


1551 


429 


7539 


225 


524 0226 


618 


.908 3145 


2 251 


40 










30 


1980 


429 


7314 


225 


0844 


618 


.908 0895 


2 250 


30 










40 


2410 


430 


7089 


225 


1462 


618 


.907 8646 


2 249 


20 










50 


2839 


429 


6864 


225 


2080 


618 


.907 6396 


2 250 


10 














430 




225 




618 




2 249 










40 





0.464 3269 




0.885 6639 




0.524 2698 




1.907 4147 







20 










Cosine 


Djff 


Sine 


Diff 


Cotangent 


Diff 


Tangent 


Diff 


" 


' 


Proportional Parts 



62 20 7 



SINES, COSINES, TANGENTS AND COTANGENTS 
27 40' 



167 



' 


" 


Sine 


Diff. 


Cosine 


Diff. 


Tangent 


Diff. 


Cotangent 


Diff 






Proportional Parts 


40 





0.464 3269 




0.886 6639 




0.624 2698 




1.907 4147 







20 








10 


3698 


429 


6414 


225 


3316 


618 


.907 1899 


2 248 


50 










20 


4127 


429 


6189 


225 


3934 


618 


.906 9651 


2248 


40 










30 


4557 


430 


5964 


225 


4553 


619 


.906 7403 


2 248 


30 










40 


4986 


429 


5738 


226 


5171 


618 


.906 5156 


2 247 


20 










50 


5415 


429 
430 


5513 


225 
225 


5789 


618 
618 


.906 2909 


2 247 
2246 


10 






Sine 


41 



10 
20 


0.4646845 
6274 
6703 


429 
429 


0.8866288 
5063 
4838 


225 
225 


0.624 6407 
7026 
7644 


619 
618 


1.9060663 
.905 8417 
.905 6171 


2246 
2246 



50 
40 


19 


428 429 430 

1 42 8 42 9 43 
2 85 6 85 8 86 




30 
40 
50 


7133 
7562 
7991 


430 
429 
429 
429 


4612 
4387 
4162 


226 
225 
225 
226 


8262 
8881 
9499 


618 
619 
618 
618 


.905 3926 
.905 1681 
.904 9437 


2 245 
2245 
2244 
2244 


30 
20 
10 




3 128 4 128 7 129 
4 171 2 171 6 172 
5 214 214 5 215 
6 256 8 257 4 258 


42 



10 


0.464 8420 
8850 


430 


0.886 3936 
3711 


225 


0.626 0117 
0736 


619 


1.904 7193 
.904 4950 


2243 



50 


18 


7 299 6 300 3 301 
8 342 4 343 2 344 
9 385 2 386 1 387 




20 


9279 


429 


3485 


226 


1354 


618 


.904 2707 


2 243 


40 










30 


9708 


429 


3260 


225 


1973 


619 


.9040464 


2 243 


30 










40 
50 


0.465 0137 
0567 


429 
430 


3035 
2809 


225 
226 


2591 
3210 


618 
619 


.903 8222 
.903 5980 


2242 
2242 


20 
10 






Cosine 








429 




225 




619 




2 242 






225 226 227 


43 



10 


0.465 0996 
1425 


429 


0.886 2584 
2358 


226 


0.625 3829 
4447 


618 


1.903 3738 
.903 1497 


2241 



50 


17 


1 22 5 22 6 22 7 
2 45 45 2 45 4 




20 
30 
40 
50 


1854 
2283 
2712 
3142 


429 
429 
429 
430 


2133 
1907 
1682 
1456 


225 
226 
225 
226 


5066 
5685 
6303 
6922 


619 
619 
618 
619 


.902 9257 
.902 7017 
.902 4777 
.902 2538 


2240 
2240 
2240 
2239 


40 
30 
20 
10 




3 67 5 67 8 68 1 
4 90 90 4 90 8 
5 112 5 113 113 5 
6 135 135 6 136 2 
7 157 5 158 2 158 9 








429 




226 




619 




2239 






8 18 


30 180 8 181 6 


44 



10 


0.465 3571 
4000 


429 


0.886 1230 
1005 


225 


0.525 7541 
8160 


619 


1.902 0299 
.901 8060 


2239 



50 


16 


9 202 5 203 4 204 3 




20 


4429 


429 


0779 


226 


8779 


619 


.901 5822 


2 238 


40 










30 
40 


4858 
5287 


429 
429 


0553 
0328 


226 
225 


9398 
0.526 0017 


619 
619 


.901 3584 
.901 1347 


2 238 
2237 


30 
20 






Tangent 




50 


5716 


429 


0102 


226 


0636 


619 


.9009110 


2 237 


10 




618 619 620 








429 




226 




619 




2236 






1 6 


1 8 61 9 62 


45 



10 
20 
30 


0.465 6145 
6574 
7003 
7432 


429 
429 
429 


0.884 9876 
9651 
9425 
9199 


225 
226 
226 


0.526 1256 
1874 
2493 
3112 


619 
619 
619 


1.900 6874 
.900 4638 
.900 2402 
.900 0167 


2236 
2236 
2235 



50 
40 
30 


16 


2 123 6 123 8 124 
3 185 4 185 7 186 
4 247 2 247 6 248 
5 309 309 5 310 
6 370 8 371 4 372 




40 
50 


7861 
8290 


429 
429 
429 


8973 
8747 


226 
226 
225 


3731 
4350 


619 
619 
619 


.899 7932 
.899 5698 


2 235 
2234 
2234 


20 
10 




7 432 6 433 3 434 
8 4M1 1 495 2 496 
9 556 2 557 1 558 


46 





0.465 8719 




0.884 8522 




0.526 4969 




1.899 3464 







14 








10 


9148 


429 


8296 


226 


5588 


619 


899 1230 


2 234 


50 










20 
30 

40 
50 


9577 
0.466 0006 
0435 
0864 


429 
429 
429 
429 
429 


8070 
7844 
7618 
7392 


226 
226 
226 
226 
226 


6208 
6827 
7446 
8066 


620 
619 
619 
620 
619 


.898 8997 
.898 6764 
.898 4532 
.898 2300 


2 233 
2233 
2232 
2232 
2232 


40 
30 
20 
10 




1 

3 


Cotangent 

2250 2240 

225 221 
450 448 
075 672 


47 





0.466 1293 




0.884 7166 




0.526 8685 




1.898 0068 







13 


4 


900 8% 




10 


1722 


429 


6940 


226 


9304 


619 


.897 7837 


2 231 


50 




5 


1125 1120 




20 
30 
40 


2151 
2580 
3009 


429 
429 
429 


6714 
6488 
6262 


226 
226 
226 


9924 
0.527 0543 
1163 


620 
619 
620 


897 5606 
897 3376 
.897 1146 


2 231 
2230 
2230 


40 
30 
20 




6 

8 
9 


1350 1344 
1575 1568 () 
1800 1792 
2025 2016 




50 


3438 


429 


6036 


226 


1782 


619 


.896 8917 


2 229 


10 














428 




226 




620 




2 229 








2230 2220 


48 





0.466 3866 




0.884 5810 




0.527 2402 




1 896 6688 







12 


1 


223 222 




10 
20 
30 
40 


4295 
4724 
5153 
5582 


429 
429 
429 
429 


5584 
5357 
5131 
4905 


226 
227 
226 
226 


3021 
3641 
4261 
4880 


619 
620 
620 
619 


.896 4459 
896 2231 
.896 0003 
.895 7776 


2 229 
2228 
2228 
2227 


50 
40 
30 
20 




3 
4 
5 



446 444 
669 666 
892 888 
1115 1110 
1338 1332 




50 


6011 


429 
428 


4679 


226 
226 


5500 


620 
620 


.895 5549 


2 227 
2227 


10 




7 
8 


1561 1554 
1784 1776 


49 



10 


0.466 6439 
6868 


429 


0.884 4453 
4226 


227 


0.627 6120 
6740 


620 


1.895 3322 
.895 1096 


2226 



50 


11 


9 


2007 1998 




20 


7297 


429 


4000 


226 


7360 


620 


.894 8870 


2 226 


40 










30 
40 


7726 
8154 


429 
428 


3774 
3548 


226 
226 


7979