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Books Bücher 11 - 20 von 58 in Law: cos a = cos b cos c + sin b sin c cos A cos b = cos c cos a + sin c sin a cos...
" Law: cos a = cos b cos c + sin b sin c cos A cos b = cos c cos a + sin c sin a cos B cos c = cos a cos b + sin a sin b cos C cos A = -cos B... "
Lehrbuch der darstellenden Geometrie - Seite 94
von Karl Rohn, Erwin Papperitz - 1901
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Elements de géométrie et de trigonométrie, á l'usage des candidats aux ...

M. E. Gouré - 1852 - 570 Seiten
...quelconques. Le principe du n° 75 conduit aux deux égalités cos a — cos b cos c = sin b sin c cos A , cos b — cos a cos c = sin a sin c cos B. En divisant la seconde par la première, et en ayant sin a sin A sinè sin B iii - sin a sin A , —...
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Lectures on Quaternions

Sir William Rowan Hamilton - 1853 - 736 Seiten
...cos c, ft aa V/3 = StLVjvf-eotB; ft a so that we still arrive, as before, at the well-known result, cos b = cos a cos c + sin a sin c cos B. It may be added that, with the same meanings of the symbols, the following equation in quaternions...
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Elements of Geometry and Trigonometry: From the Works of A.M. Legendre ...

Charles Davies, Adrien Marie Legendre - 1854 - 432 Seiten
...determine the circumstances under which this ambiguity arises, we will consider the 2d of equations (1) cos b = cos a cos c + sin a sin c cos B, from which we obtain, cos b — cos a cos c cos B = . • s1n a s1n c Now, if cos b be greater than...
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Géodésie: ou, Traité de la figure de la terre et de ses parties; comprenant ...

Louis Benjamin François Francoeur - 1855 - 542 Seiten
...'équation fondamentale ( 3 ) cos a = cos b . cos c -+- sin b . sin c . cos A . On aurait de même f cos b = cos a . cos c -+- sin a . sin c . cos B , (4- ) ( cos c = cos<7.cosè + sin a. sine. cosC. 68. On tire de l'équation (3) cos a — cos b cos...
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A TREATISE ON PLANE AND SPHERICAL TRIGONOMETRY.

WILLIAM CHAUVENET - 1855
...would be similar, only interchanging a and c, A and C. By the fundamental formulae, we should have, cos B = — cos A cos C + sin A sin C cos b sin A cos (7 + cos JL sin (7 cos 5 cot c = . n . , sin C sin o and denoting the auxiliary angle by...
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The Mathematician, Band 1

1856
...several cases of spherical triangles are as follow ; viz. cos a ~ cos b cos c -f- sin b sin c cos A cos b = cos a cos c -\- sin a sin c cos B cos c — cos a cos S -f- sin a sin 6 cos C Whoever attends to the process by which these are deduced,...
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An Elementary Treatise on Quaternions

Peter Guthrie Tait - 1867 - 320 Seiten
...see that the formula just written is equivalent to sin a sin c cos B = — cos a cos c + cos b, or cos b = cos a cos c + sin a sin c cos B. 112. Again, F.Fa/3F/3y =-/3Sa/3y which gives TF.Fa/3F/3y = Sa^y = S.aF/3y = S./3Fya = Sy Fa/3, or sin...
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Vorlesungen über die complexen Zahlen und ihre Funktionen

Hermann Hankel - 1867 - 196 Seiten
...absoluten Werthe: BC=a, CA .— A, AB = c so erhält man aus (2), (4), (5) die gewöhnlichen Formeln : cos b = cos a . cos c + sin a . sin c . cos B cos C . sin b = sin a . cos c — cos « . sin e . cos B sin C. sin b = sin B . sin r Jene allgemeinen...
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Elements of Trigonometry: Plane and Spherical

Lefébure de Fourcy (M., Louis Etienne) - 1868 - 288 Seiten
...succession, we deduce the three following equations: cos A = — cos B cos C + sin B sin C cos а (11) cos B = — cos A cos C + sin A sin C cos b (12) cosC= — cos A cos B + sin A sin B cose (13) 158. It is easy to express sin^a, cos^a, tangía,...
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Treatise on Geometry and Trigonometry: For Colleges, Schools and Private ...

Eli Todd Tappan - 1868 - 420 Seiten
...c is a quadrant. The proposition having been demonstrated for any angle of any spherical triangle, cos. b = cos. a cos. c-\- sin. a sin. c cos. B, cos. c = cos. a cos. b -f- sin. a sin. b cos. C. These have been called the fundamental equations of...
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