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Llibres Llibres 1 - 10 de 50 sobre Spherical Triangle the cosine of any side is equal to the product of the cosines....
" Spherical Triangle the cosine of any side is equal to the product of the cosines of the other two sides, plus the product of the sines of those sides into the cosine of their included angle ; that is, (1) cos a = cos b... "
Plane and Spherical Trigonometry - Pągina 173
per James Morford Taylor - 1905 - 234 pągines
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A Treatise on Spherics: Comprising the Elements of Spherical Geometry, and ...

Daniel Cresswell - 1816 - 294 pągines
...from the other complemental triangle. PROP. I. (230.) Theorem. The cosine of any one of the sides, of a spherical triangle, is equal to the product of the cosines of the other two sides, together with the continued product of the sines of those two sides, and the cosine of the angle contained...
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An Elementary Treatise of Spherical Geometry and Trigonometry

Anthony Dumond Stanley - 1848 - 122 pągines
...spherical triangles. In the form of a theorem it may be stated thus : The cosine of one of the sides of a spherical triangle^ is equal to the product of the cosines of the other two sides, increased by the product of their sines multiplied into the cosine of the included angle. There are...
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A Treatise on Plane and Spherical Trigonometry

William Chauvenet - 1852
...the various positions of the lines of the diagram. 5. In a spherical triangle, the cosine of any side is equal to the product of the cosines of the other two sides, plus the continued product of the sines of those sides and the cosine of the included angle. Let the plane B'A'С',...
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ELEMENTS OF GEOMETRY AND TRIGONOMETRY

A. M. LEGENDRE - 1852
...sin a sin c cos B, L (1) cos c = cos a cos b + sin a sin b cos (7. J That is : The cosine of either side of a spherical triangle is equal to the product of the cosines of the two other sides plus the product of their sines into the cosine of their included angle, enter into...
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Elements of Geometry, and Plane and Spherical Trigonometry: With Numerous ...

Horatio Nelson Robinson - 1860 - 453 pągines
...gives cos.ACD = cot. AC cos.BCD cot.BC Or, cot. AC : cot.BC = cos. ACD : cos.BCD. PROPOSITION VII. The cosine of any side of a spherical triangle, is...other two sides, plus the product of the sines of those sides multiplied by the cosine of the included angle. Let ABC be a spherical triangle, and CD...
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - 1862 - 490 pągines
...the sine of C. (147) (148) (149) TRIGONOMETRY. 149. In any spherical triangle, the cosine of any side is equal to the product of the cosines of the other two sides, plus the product of the sines of those two sides into the cosine of their included angle. Let A BC be any spherical triangle, 0 the...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - 1862 - 490 pągines
...of B1 Ö D is still equal to the sine of G. 149. In any spherical triangle, the cosine of any side is equal to the product of the cosines of the other two sides, plus the product of the sines of those two sides into the cosine of their included angle. Let ABC be any spherical triangle, O the centre...
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Principles of Modern Geometry, with Numerous Applications to Plane and ...

John Mulcahy - 1862 - 234 pągines
...circles whose poles are the extremities of the base. Since the cosine of the hypotenuse of a right-angled spherical triangle is equal to the product of the cosines of the sides, the locus of the vertex of such a triangle, whose hypotenuse is given, is a spherical ellipse....
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - 1863 - 320 pągines
...«till equal to the sine of C. 7* TRIUONOMETRY. 1 49. In any spherical triangle, the cosine of any side is equal to the product of the cosines of the other two sides, plus the product of the sines of those two sides into the cosine of their included angle. Let ABC be any spherical triangle, 0 the centre...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - 1867 - 170 pągines
...In like manner, by means of (153), sinJB = ^°3^. (197) cos p ^ 161. T^e cosine of the hypothenuse is equal to the product of the cosines of the other two sides. By means of (152) we have cos A = cos p cos b -\- sin p sin b cos C, which, by making O = 90°, becomes...
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