 | Marshall Henry Haddock - 1926 - 358 pàgines
...for convenience in reference (see Figs. 170 and 168). Cos a =cos b cos c +sin b sin c cos A ... (88) Sin a cos B =cos b sin c — sin b cos c cos A ... (89) Sin a sin B =sin b sin A (90) When these are adapted to the spherical triangle PZB (Fig. 1... | |
 | John Charles Duncan - 1926 - 478 pàgines
...can be completely solved by the three fundamental formulae cos a = cos b cos c + sin b sin c cos A, sin a cos B = cos b sin c - sin b cos c cos A, sin a sin B = sin b sin A. In many cases, the computation is shortened by judicious transformation... | |
 | Marshall Henry Haddock - 1926 - 358 pàgines
...and subtraction logarithmic tables to hand ; FIG. 170. Cos a =cos b cos c+sin b sin c cos A ... (88) Sin a cos B =cos b sin c — sin b cos c cos A ... (89) Sin a sin B =sin b sin A (90) When these are adapted to the spherical triangle PZB (Fig. 170),... | |
 | Carl Friedrich Gauss, Christian Ludwig Gerling - 850 pàgines
...der Tat alle ohnehin notwendig sind: 1 ) cos a = cos b • cos c -f- sin b • sin c • cos A, 2) sin a • cos B = cos b • sin c — sin b • cos c cos A, 3) sin a • sin B = sin b • sin A, 4) cos B • sin C -)- sin B • cos C • cos a = cos b sin... | |
 | Robin Michael Green - 1985 - 540 pàgines
...sine cos A. (1.11) (b) The sine formula sin A sin B sin C sin a sin h sin c (c) The analogue formula sin a cos B = cos b sin c — sin b cos c cos A. (d) The four-parts formula cos a cos C = sin a cot fe — sin C cot B. (1.15) (1.16) (1.18) 1.5 Terrestrial... | |
 | C. R. Kitchin - 2002 - 294 pàgines
...= cos b cos c + sin b sin c cos A sin A sin B sin C Sine formula: sin a sin b sin C Third formula: sin a cos B = cos b sin c - sin b cos c cos A Four parts formula: cos a cos C = sin a cot b - sin C cot B. spider The support arms for a secondary... | |
 | A.E. Roy - 2020 - 552 pàgines
...(180°-/1) is required unless other information is available. (Hi) The analogue to the cosine formula sin a cos B = cos b sin c - sin b cos c cos A . There are rive variations of this formula. (/Y) The four-parts formula cos a cos C — sin a cot... | |
 | J. V. Armitage, W. F. Eberlein - 2006 - 9 pàgines
...Exercises 9.6 See Lawden 65 (1989), Section 4.4. 9.6.1 Prove that, in the notation for spherical triangles, sin A cos b = cos B sin C + sin B cos C cos a. 9.6.2 Prove that cos C cos b = sin b cot a — sin C cot A . 9.6.3 Suppose that in Equations (9.58)... | |
 | C Barbieri - 2006 - 388 pàgines
...Gauss. The three relations of the first such group are: cos a = cos b cos c + sin b sin c cos A (1.13) sin a cos B = cos b sin c - sin b cos c cos A (1.14) sin A _ sin B _ sin C sin a sin b sin c Another relation, and a variant of the first formula... | |
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A sin a cos B = cos b sin c —• sin b cos c cos A. 
