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" Oblique spherical triangles sin A sin B sin C sin a ~~ sin b sin c cos a = • cos b "
A Collection of Tables and Formulæ Useful in Surveying, Geodesy, and ... - Page 6
by Thomas Jefferson Lee - 1853 - 242 pages
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A Treatise on Plane and Spherical Trigonometry: With Their Most Useful ...

John Bonnycastle - Trigonometry - 1806 - 419 pages
...,, . sin b sin a sin c . ,. . one, give -- , -- = - X -r— -r- -.—JT Sin c (sin Af-sin B) = sin c (sin a +sin b ) Sin c (sin A — sin B) = sin c (sin a — sin b) Which two equations being divided by the preceding Sin A + sin B sin c sin a + sin...
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Eléments de géométrie

Adrien Marie Legendre - Geometry - 1808 - 421 pages
...— cos C) sin (a-{- b]. ,., . sin c sin a sin b Mais puisque -.—-= ——--=-.—„, on a * sin C sin A sin B sin c ( sin A + sin B ) •=. sin C ( sin a + sin b ) et sin c (sin A'— sin B) = sin C (sin a — sinb"). Divisant successivement ces...
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Eléments de geométrie: avec des notes

Adrien Marie Legendre - Geometry - 1812 - 431 pages
...(R — cos C) sin (a + b]. _, . . sin c sin a sin b Mais puisque -r~-=——-= . . on a - 1 s in C sin A. sin B sin c (sin A + sin B) = sin C (sin a-\-sinb) et sin c (sin A — sin B*)=sin C (sin a — sin &). Divisant successivement ces deux...
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Éléments de géométrie, avec des notes

Adrien Marie Legendre - Geometry - 1817 - 431 pages
...permutation entre deux des quantités a, b, c;dow on a — : — = . = —:—, ce qui est le principe P sin a sin b sin c sin A sin B sin C Les valeurs que nous venons de trouTfl pour cos C et sin C, peuvent servir à trouver te angles d'un...
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Alma Mater, Or, Seven Years at the University of Cambridge, Volume 1

John Martin Frederick Wright - 1827
...the sphere = 1. Prove the following theorems: I. Cos. C = II. cos. c—cos. ax cos. b sin. ax sin. b sin. A sin. B sin. C sin. a sin. b sin. c IV. sin. I -- a) x sin. ( -- o) . /S . /S S in.'iC= - - 5£_, - ^ sm. ax sin. 6 sm. -) x sm. --c) •...
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Schulz Sphärik: oder, Dir Geometrie der Kugelfläche, in drei Theilen

Karl Friedrich Schulz - Spherical trigonometry - 1828
...В' sinb sin a. sin B « ,„ sine" sin a sin C" g)íulfi>íí{írf man C«)^ (0)? W/ fo er&alf man .sin a" sin b' sin c" sin A'" sin B' sin C" sin a" sin b'" sin с " ~ sin A" sin B" sin C' ' Sftun i(l паф bem Juf. beé »origen §. b Шфипд...
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Éléments de géométrie: avec des notes

Adrien Marie Legendre - Geometry - 1832 - 416 pages
...R'cos'c •j-'z'R.cosacos bcosc), on aura donc Sin C = —: :—7 , OU — = — :—r—: . RZ sin C RZ sin a sin b sin c sin a sin b sin c Les valeurs de cos A et de cos B donneraient semblablement sin A RZ sin B RZ sin a sin a sin b sin...
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Elements of plane and spherical trigonometry

John Radford Young - Geometry, Spherical - 1833 - 148 pages
...sin. C = sin. A sin. B sin. C; dividing both sides of this equation by cos. A cos. B cos. C, we have sin. A sin. B sin. C sin. A sin. B sin. C cos. A cos. B cos. C cos. A cos. B ' cos. C ' that is, tan. A + tan. B + tan. C = tan. A tan. B tan. C ; a remarkable...
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Elements of Plane and Spherical Trigonometry: With Its Applications to the ...

John Radford Young - Astronomy - 1833 - 264 pages
...sin. C = sin. A sin. B sin. C; dividing both sides of this equation by cos. A cos. B cos. C, we have sin. A . sin. B . sin. C sin. A sin. B sin. C cos. A cos. B cos. C cos. A cos. B ' cos. C ' that is, "~ nna It ' nrtu I™ i tan. A + tan. B .f- tan. C = tan....
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Elements of Trigonometry

William Hopkins - Chemistry - 1833 - 68 pages
...~— —•—v>—'•— ; • • • w n sin. A sin. B sin. C sin. A sin. 13 sin. C whence V v r= sin. A sin. B sin. C sin. a sin. b sin. c sin. 8 a == — —. — -_-.--..-, -- - • <-) 12 4 cos. Scos. (SA)cos.(SB)cos. (SC) sin. 8 B sin....
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