| Science - 1806
...sum of the series, a. sine of go0-f-/>z+&.sineof 9o°-\-p-}-qz -\-c sine of QQ" -\-p-\-iq.z &c. or **because the sine of an arc is equal to the sine of** 180° — that arc, we shall have the sum of the series a. sine of 90°— pz~}-b. sine of 90° —... | |
| Thomas Keith - Navigation - 1810 - 420 pages
...AC : sine AGC And by comparing these two proportions radius : sine GAC : : sine AEC : sine AGc. But **the sine of an arc is equal to the sine of its supplement,** therefore sine GAC=sine GAK, and GAK is the complement of CAE, therefore sine of GAK=:cosine GAE, hence... | |
| Miles Bland - Geometry - 1819 - 377 pages
...algebraic sign is positive, and for arcs which terminate in the two next it is negative. (20.) COR. **The sine of an arc is equal to the sine of its supplement.** For PE is equal to the sine of CBP which is the supplement of A P. Thus 48°. 15' being the supplement... | |
| Miles Bland - Geometry - 1819 - 377 pages
...algebraic sign is positive, and for arcs which terminate in the two next it is negative. (20.) COR. **The sine of an arc is equal to the sine of its supplement.** For PE is equal to the sine of CBP which is the supplement of A P. Thus 48°. 15' being the supplement... | |
| Thomas Keith - Navigation - 1826 - 442 pages
...; sine AGC And by comparing these two proportions radius : sine GAC : : sine ЛЕС : sine AGC. But **the sine of an arc is equal to the sine of its supplement,** therefore sine GAC=sine GAK, and GAK is the complement of GAE, therefore sine of G AK =cosine GAE,... | |
| George Peacock - Algebra - 1830 - 685 pages
...equal to the sine of Q. =-co»9. cos (TT — 6) 2 = — cos0: for er = 6~* =s — 1In other words, **the sine of an arc is equal to the sine of its supplement,** but the cosine of an arc is equal to the cosine of its supplement affected with the sign — . 479.... | |
| Charles Davies - Surveying - 1830 - 306 pages
...(33). But FH is the sine of the arc GF, the supplement of ABF (29), and OH is its cosine (31) ; hence, **the sine of. an arc is equal to the sine of its supplement** ; and the cosine of an angle, to the cosine of its supplement. Furthermore, AQ is the tangent of the... | |
| 1886
...(1) :о-Ь :: tan è (А + В): tan J(AB) . (2) :_ i л / l « " ' in 4 А =- . /'(i »-*)(*»6с (3) **The sine of an arc is equal to the sine of its supplement:** hrii'-f. when an angle is determined by means of its sin«, there may be two solution)*. Whether there... | |
| Navigation - 1837 - 249 pages
...secant. But FH is the sine of the arc GF, which is the supplement of AF, and OH is its cosine : hence, **the sine of an arc is equal to the sine of its supplement** ; and the cosine of an arc is equal to the cosine of its supplement.* Furthermore, AQis the tangent... | |
| Thomas Keith - 1839
...GAC : : AC : sin AGC And by comparing these two proportions rad : sin GAC : : sin AEC : sin AGC. But **the sine of an arc is equal to the sine of its supplement,** therefore sin GAC =. sin GAK, and GAK is the complement of GAE, therefore sin of GAK=COS GAE, hence... | |
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