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" Y = cos c sin a — sin c cos a cos ß sin b cos a = cos a sin c — sin a cos c cos ß sin c cos a = cos a sin b — sin a cos b cos Y sin c cos ß = cos b sin a — st "
Elemente der Geometrie - Page 107
by Johannes Frischauf - 1870 - 159 pages
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Lehrbuch der sphärischen Astronomie

Franz Brünnow - Spherical astronomy - 1851 - 636 pages
...Gleichungen: sin A cos b = cos B sin C + sin 74 cos C cos a sin A cos c = cos C sin B + sin C cos B cos a sin B cos a = cos A sin C + sin A cos C cos b (6) sin B cos c = cos C sin A + sin C cos A cos 6 und durch Division dieser Gleichungen durch die entsprechenden...
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Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry ...

George Roberts Perkins - Geometry - 1860 - 474 pages
...cos. c sin. b — sin. c cos. 5 cos. A. j sin. b cos. C = cos. c sin. a — sin. c cos. a cos. B ; I sin. b cos. A = cos. a sin. c — sin. a cos. c cos. B. i sin. c cos. A = cos. a sin. b — sin. a cos. b cos. C ; { sin. c cos. B = cos. b sin. a — sin....
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Spherical Astronomy ...

Franz Brünnow - 1865 - 592 pages
...a cos B = cos 4 sin c — sin 4 cos c cos -4 sin a cos C = cos c sin 4 — sin c cos 4 cos A sin 4 cos A ^ cos a sin c — sin a cos c cos B sin 4 cos C = cos c sin a — sin c cos a cos B sin c cos /I = cos a sin 4 — sin a cos 4 cos (,'...
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Mathematisches Wörterbuch: Alphabetische Zusammenstellung ..., Volume 2

Ludwig Hoffmann - Mathematics - 1858 - 766 pages
...c • cos ß — cot a • tin c 9. 0 = si» b-cosy + sin c- cos a- cos ß — cot c-sinn oder 10. sin b • cos a = cos a • sin c — sin a • cos c • cot ß 11. sin b-cosy = cos c-sin a — sin c-cot a-cos ß Die letzte Gleichung mit cot ß multiplicirt...
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Leerboek der rechtlijnige en bolvormige dreihoeksmeting

Rehuel Lobatto - Trigonometry - 1877 - 382 pages
...A.; deelende de eerste door sin b , de tweede door sin c , cos a sin b ==. sin a cos b cos G + sin c cos A ' , „ cos a sin c = sin a cos c cos B -f- sin b cos A . \ Deelt men nogmaals beiden formulen door sin a , en stelt daarna volgens (2) sin...
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Elements of Plane and Spherical Trigonometry: With Numerous Examples

Edward Albert Bowser - Trigonometry - 1892 - 202 pages
...: sinAcosfr = cosB sinC +sinB cosCcosa . . (7) sin A cos с = sin B cos C + cosB sin C cosa . . (8) sin B cos a, = cos A sin C + sin A cos C cos6 . . (9) sin B cosс = sin A eos C + cos A sin C cos6 . . (10) sin C cos a = cos A sin B + sin...
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Lehrbuch der ebenen und sphärischen trigonometrie: Zum gebrauch bei ...

Ernst Hammer - Trigonometry - 1897 - 592 pages
...— cos c sin b — sin c cos b cos a \ (3) sin b cos y = cos c sin a — sin c cos a cos ß i (4) sin b cos a — cos a sin c — sin a cos c cos ß i (5) sin c cos a — cos a sin b — sin a cos b cos y } (6) sin c cos ß — cos b sin a — sin...
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Popular Astronomy, Volume 8; Volume 1900

Astronomy - 1900 - 632 pages
...a) = cos a, cos (90 — a) B cos (180 — B) — sin a , we get : ,\, sin b sin A — sin a sin B, sin b cos A = cos a sin c — sin a cos c cos B, Mb) cos b = cos a cos c + sin a sin b cos B. } These are the three fundamental equations of spherical...
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The Elements of Plane Trigonometry

Pitt Durfee - Plane trigonometry - 1900 - 340 pages
...a cosy + cos c sin b + sin c cos b cos a = 0 ; sin a cos ft + cos b sin c 4- sin b cos c cos a = 0, sin b cos a + cos a sin c + sin a cos c cos ft = 0 ; For, project the broken line GOFE on EG ; thenv proj GO = 0, [GO perp. to EG . '. proj OF...
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Encyklopädie der elementar-mathematik: bd. Encyklopädie der elementaren ...

Heinrich Weber - Mathematics - 1905 - 626 pages
...«, sin a cos y = cos c sin b — sin c cos b cos a; sin b cosy = cos c sin a — sin c cos a cos 0, sin b cos a = cos a sin c — sin a cos c cos ß; sine cos« = cos a sin b — sin a cos b cosy, sine cos/} = cos6 sino — sinfc cosa cosy. sin...
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