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" B . sin c = sin b . sin C cos a = cos b . cos c + sin b . sin c cos b = cos a . cos c + sin a . sin c cos A cos B cos c = cos a . cos b + sin a . sin b . cos C ..2), cotg b . sin c = cos G. "
Higher Geometry and Trigonometry: Being the Third Part of a Series on ... - Page 138
by Nathan Scholfield - 1845 - 232 pages
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Krakatan

Rogier Diederik Marius Verbeek - Dutch - 1886 - 638 pages
...alors par les formules: cos B cos N tang M = cos c tang B; N = A — M; cos C = -- ; cos M on a aussi : cos C =. cos A cos B + Sin A sin B cos c, mais c«tte formule ne se prête pas au calcul par togarithmes. 3§7. Le mille géographique est pris...
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Gesammelte Werke, Volume 2

August Ferdinand Möbius - Mathematics - 1886 - 717 pages
...(I), .. (IV) statt a i , b^, c t die Winkel A, B, C einführt, (I) sin b sin C = sin c sin B , (II) cos c — cos a cos b = sin a sin b cos C , (III) sin a cotg b = sin C cotg B + cos a cos C , (IV) cos C + cos A cos B = sin A sin B cos c ....
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The Essentials of Plane and Spherical Trigonometry

Webster Wells - Trigonometry - 1887 - 200 pages
...(Art. 144) . tan rWhence, In like mauner we have, cos b = cos c cos a + sin c sin a cos B, (88) and cos c = cos a cos b + sin a sin b cos C. (89) 157. Let ABC and A'B'C' be a pair of polar triangles. Applying the theorem of Art. 156 to the...
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Practical Surveying: A Text-book for Students Preparing for Examinations Or ...

George William Usill - Surveying - 1889 - 306 pages
...sin (A + B) cos o + cos (A + B) sin c SINE, &>c., Of TWICE AND THREE TIMES. 115 = (sin A. cos B + cos A- sin B) cos c + (cos A- cos B — sin A' sin B) sin c = sin A- cos B- cos c + sin B' cos c- cos A + sin o- cos A- cos B sin A; sin B' sin c .......
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Plane and Spherical Trigonometry and Surveying

George Albert Wentworth - 1891 - 286 pages
...have an oblique spherical triangle with three sides given to find the angle C. Now from Formula [44], cos c = cos a cos b + sin a sin b cos C; then by substituting, cos d= cos (90°- 1) cos (90° - 1') + em(90°-Z) x sin (90°- 1') cos (m - m')...
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Examinations Papers

1891 - 718 pages
...10. Resolve cos 6 into factors. Prove that 113 6 4?r c°S 5 11. Prove that in any spherical triangle cos c = cos a cos b + sin a sin b cos C, Prove that in any equilateral spherical triangle sec A = 1 + sec a. PUEE MATHEMATICS.— PART I. SECOND...
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Traité élémentaire de cristallographie géométrique: à l'usage des candidats ...

G. Lion - Crystallography, Mathematical - 1891 - 170 pages
...b sin c cos A \ entre les trois (2) cos b = cos a cos c. -j- sin a sin c cos B > côtés et un (3) cos c = cos a cos b + sin a sin b cos C ) angle. sin a sin b sine ) entre deux côtés et les angles * sin A sinB sin C' l opposés. Si dans...
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The Applications of Elliptic Functions

Sir George Greenhill - Elliptic functions - 1892 - 386 pages
...vs ; so that o = am(/rt;1, l//c), 6 = am(xn;2, l//c), c = am(»c'U3, l//c). The fundamental formula cos c = cos a cos b + sin a sin b cos c now leads to the formula of § 121, dn va = dn i>jdn r, +/c2sn VjSn v2 en i>3, In the degenerate case...
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A Treatise on Plane and Spherical Trigonometry: And Its Applications to ...

Edward Albert Bowser - Trigonometry - 1892 - 392 pages
...cos A + sin C sin A cos b. * From the nature of projections (Plane and Solid Geom., Art. 326). 13. cos C = — cos A cos B + sin A sin B cos c. 14. cot a sin b = cot A sin C + cos C cos b . . (Art. 193) 15. cot a sin с = cot A sin B + cos B cos...
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Abriss des geometrischen Kalküls: nach den Werken des Professors Dr. Hermann ...

Ferdinand Kraft, Hermann Grassmann - Calculus - 1893 - 276 pages
...ergiebt sich aus (3) und sodann durch Buchstabenvertauschung 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 cos c — sin b sin c cos a,, welche Formeln den zweiten Fundamentalsatz der sphärischen...
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