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Books Bücher 31 - 40 von 49 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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American Journal of Mathematics, Band 13

1891
...(vS.a{3 — a(3) — Sp* (vS.ay—ay) = cos a cos c — cos b, by previous formulae. We conclude that cos b = cos a cos c + sin a sin c cos B.* This extremely simple process may be compared with the analysis given in Tait, p. 56, Art. 90, which...
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Plane and Spherical Trigonometry, Surveying and Tables

George Albert Wentworth - 1897
...cosp sin m in the value of cos a, we obtain cos a = cos b cos c + sin b sin c cos A i and similarly, cos b = cos a cos c + sin a sin c cos B > [45] cos c = cos a cos b + sin a sin b cos CJ 3. In the right triangle ADC, by [41], cos A = cosp...
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Plane and Spherical Trigonometry

Elmer Adelbert Lyman, Edwin Charles Goddard - 1900 - 139 Seiten
...OA OA , AC' AB' . cosa = w'ov + lWoWcosA. .'. cos a = cos b cos c + sin b sin c cos .4. Similarly, cos b = cos a cos c + sin a sin c cos .B, and cos c = cos a cos 6 + sin a sin 6 cos (7. These formulae are important, and should be carefully...
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The Elements of Plane and Spherical Trigonometry

Thomas Ulvan Taylor, Charles Puryear - 1902 - 160 Seiten
...cos a = cos c (cos 6 + sin b tan c cos .4), or cos a = cos b cos c + sin b sin c cos .4. Similarly, cos b = cos a cos c + sin a sin c cos B. cos o = cos a cos b + sin a sin b cos C. 93. To express sin £ A in terms of functions of a, b, c....
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Plane and Spherical Trigonometry and Tables

George Albert Wentworth - 1903 - 307 Seiten
...cos ^i sin n in the value of cos a, we obtain cos a = cos b cos c + sin b sinccos A "] and similarly, cos b = cos a cos c + sin a sin c cos B i- • [45] cos c = cos a cos b + sin a sin b cos CJ 3. In the right triangle ADC, by [41], p. 144,...
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The Elements of Geodetic Astronomy: For Civil Engineers

Henry Curwen Lord - 1904 - 136 Seiten
...follows: — Applying (2) to the sides a and b we obtain (6) cos a = cos b cos c + sin b sin c cos A (7) cos b = cos a cos c + sin a sin c cos B Substituting the value of cos b from (7) in (6), cos a = (cos a cos c -f- sin a sin c cos B)cos c +...
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Plane and Spherical Trigonometry

Preston Albert Lambert - 1905 - 98 Seiten
...analogous formulas are established. The three formulas, cos a = cos Ъ cos c -f sin b sin c cos A, (19) cos b = cos a cos c + sin a sin c cos B, cos c = cos a cos b + sin a sin b cos C, express relations between the six parts of a triedral angle....
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A Treatise on Navigation and Nautical Astronomy: Including the Theory of ...

William Carpenter Pendleton Muir - 1906 - 718 Seiten
...cos tdt = sin L sin tdt, dZ _ cos Z cos t — sin L sin t sin Z dt sin t cosec Z From trigonometry, cos B = — cos A cos C -\- sin A sin C cos b. By making the same substitutions as before, we have cos M = — - cos Z cos t -j- sin Z sin t sin L,...
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Surveying

William Norman Thomas - 1920 - 536 Seiten
...(<-c)sin(g-6) ,?, 2 sin « sin (s - a) From equation (3) cos a - cos b cos c = sin b sin c cos A, and similarly cos b - cos a cos c = sin a sin c cos B, or writing sin b = n sin B, and sin a = n sin A, cos a - cos b cos c = n sin B sin c cos A, and cos...
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Spherical Astronomy

Robin M. Green, Robin Michael Green - 1985 - 520 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...
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