 | Robin Michael Green - 1985 - 540 Seiten
...cosine and sine formulae as follows. Apply the cosine formula to triangle ABC (Fig. 1.5), obtaining cos b = cos a cos c + sin a sin c cos B, cos c — cos a cos b + sin a sin b cos C. Eliminate cos c from the first equation, and replace sin... | |
 | 1989 - 478 Seiten
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 | 1994 - 214 Seiten
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 | Dino Boccaletti, Prof. Giuseppe Pucacco - 2003 - 410 Seiten
...— — r = ~ — , (A-3) s\na s1ne s1ne hold. From (A.1), exchanging the roles of a and b, we have cos b = cos a cos c + sin a sin c cos B, and, further, exchanging a by c and making some calculations, we have sin c cos B = cos b sin a. One... | |
 | James B. Kaler - 2002 - 524 Seiten
...not here) the Iaw of cosines of spherical trigonometry: cos a = cos b cos c + sin b sin c cos A, (3) cos b = cos a cos c + sin a sin c cos B, cos c = cos a cos b + sin a sin b cos C. The spherical triangle. Spherical triangle ABC is constructed... | |
 | Leonhard Euler - 2004 - 624 Seiten
...step-by-step. Indeed, EULER starts from the two following formulae: cos A + cos B cos C = sin B sin C cosa cos B + cos A cos C = sin A sin C cos b Dividing one by the other, he gets: cos A + cos B cos C sin B cos a s'mb cos a cos B + cos A cos C... | |
 | Robin Heath, John Michell - 2006 - 180 Seiten
...respect to the centre of the earth. One of the points of the triangle is taken to be the pole). Then cos b = cos a. cos c + sin a. sin c. cos B EXAMPLE 3 : CALCULATE THE DISTANCE BETWEEN LONDON AND NEW YORK London (51° 30' N; 0° W); New York... | |
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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... 
