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Libros Libros 1 - 10 de 25 sobre FH is the sine of the arc GF, which is the supplement of AF, and OH is its cosine...
" 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... "
Elements of Trigonometry, Plane and Spherical: Adapted to the Present State ... - Página 66
por Charles William Hackley - 1838 - 307 páginas
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Philosophical Transactions of the Royal Society of London, Volumen96

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° —...
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An Introduction to the Theory and Practice of Plane and Spherical ...

Thomas Keith - 1810 - 420 páginas
...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...
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Geometrical Problems Deducible from the First Six Books of Euclid: Arranged ...

Miles Bland - 1819 - 377 páginas
...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...
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - 1819 - 377 páginas
...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...
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An Introduction to the Theory and Practice of Plain and Spherical ...

Thomas Keith - 1826 - 442 páginas
...; 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,...
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A Treatise on Algebra

George Peacock - 1830 - 685 páginas
...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....
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Elements of Surveying

Charles Davies - 1830 - 300 páginas
...(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...
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Johnson's (revised) Universal Cyclopaedia

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...
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Elements of Surveying: Including a Description of the Instruments and the ...

1837 - 249 páginas
...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...
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An introduction to the theory ... of plane and spherical trigonometry ...

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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