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Llibres Llibres 101 - 110 de 144 sobre A cos 6 = cos a cos c + sin a sin c cos B cos c = cos a cos 6 + sin a sin 6 cos C....
" A cos 6 = cos a cos c + sin a sin c cos B cos c = cos a cos 6 + sin a sin 6 cos C Law of Cosines for Angles cos A = — cos B... "
Elements of Plane and Spherical Trigonometry: With Their Applications to ... - PÓgina 83
per Olinthus Gregory - 1816 - 244 pÓgines
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Differential Geometry

J. J. Stoker - 1989 - 432 pÓgines
...triangle T**. The "law of cosines " for triangles in each of the three geometries of constant curvature is cos a = cos b cos c + sin b sin c cos a (K* > 0), a* = b* + c2 - 2bc cos a (K* = 0), cosh a = cosh 6 cosh c — sinh b sinh c cos a (K* < 0)....
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Elementary Geometry in Hyperbolic Space

Werner Fenchel - 1989 - 225 pÓgines
...(n-▀)i, <T2 = (ny)i. Hence, (3) takes the form sin a sin b sin c sin a sin ▀ sin y ' and (6) yields cos a = cos b cos c + sin b sin c cos a , and the analogues for cos b and cos c, cos a = — cos ▀ cos y + sin ▀ sin y cos a , and the analogues...
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Mathematical Thought from Ancient to Modern Times:

Morris Kline - 1990 - 390 pÓgines
...triangles, namely, TRIGONOMETRY A Figure 12.1 and the law of cosines involving the sides, that is, cos a = cos b cos c + sin b sin c cos A. The De Triangulis was not published until 1533; in the meantime, Johann Werner (1468-1528) improved...
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The Solid Earth: An Introduction to Global Geophysics

C. M. R. Fowler, Clarence Mary R. Fowler, Mary Fowler - 1990 - 472 pÓgines
...relate the angles and sides of plane triangles, there are cosine and sine rules for spherical triangles: cos a = cos b cos c + sin b sin c cos A (2.9) and sin a sin c sin A sin C Substituting Eqs. 2.4-2.6 into Eq. 2.9 gives (2.10) cos a = cos (90...
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Bivectors and Waves in Mechanics and Optics

P. Boulanger, M.A. Hayes - 1993 - 288 pÓgines
...is when one of the angles is ┐я. AI Arbitrary triangles First we derive the fundamental formula: cos a = cos b cos c + sin b sin c cos A. (A. 1 ) Proof: Take the radius of the sphere to be of unit length. Let a be the plane passing through...
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Mathematics for the Million

Lancelot Thomas Hogben - 1968 - 648 pÓgines
...— sin2 x First, however, you should notice that if we can get a when b, c, and A are known from: cos a = cos b cos c + sin b sin c cos A we can also get c when a, b, and C are known from cos c = cos a cos b + sin a sin b cos C The demonstration...
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Satellite Systems: Principles and technologies

Bruno Pattan - 1993 - 406 pÓgines
...Law of Cosines for sides: cos a - cos b cos c + sin b sin c cos A o The Law of Cosines for angles: cos A = - cos B cos C + sin B sin C cos a o The Law of Sines: sin A . sin B _ sin C sin a sin b sin c o Napier's Rules of Circular Parts (for...
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Zum 400. Geburtstag von Wilhelm Schickard: zweites TŘbinger Schickard ...

Friedrich Seck - 1995 - 319 pÓgines
...mit dem aus den drei Seiten (a, b, c) des sphńrischen Dreiecks der Winkel a berechnet werden kann: cos a = cos b - cos c + sin b - sin c - cos a, ergibt sich durch Umformung: cos a — cos b - cos c .c , \ cos a = (Formel i) sin b - sin c Die trigonometrischen...
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She Does Math!: Real-life Problems from Women on the Job

Marla Parker, Mathematical Association of America - 1995 - 253 pÓgines
...galactic plane The section that uses spherical trigonometry (section D) requires the following equations: cos a — cos b * cos c + sin b * sin c * cos a (law of cosines) (sin a)/(sin a) = (sin /3)/(sin 6) = (sin 7)/(sin c) (law of sines) where a is the...
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Mathematics: From the Birth of Numbers

Jan Gullberg, Peter Hilton - 1997 - 1093 pÓgines
...Triangle The law of cosines concerning angles of a spherical triangle is here quoted without proof: cos A = - cos B cos C + sin B sin C cos a cos B = - cos C cos A + sin C sin A cos 6 cos C = — cos A cos B + sin A sin B cos c FINCKE Thomas...
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