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" 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... "
An Elementary Treatise on Plane & Spherical Trigonometry: With Their ... - Page 172
by Benjamin Peirce - 1845 - 449 pages
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Practical Radio Engineering and Telemetry for Industry

David Bailey - Technology & Engineering - 2003 - 320 pages
...MHz D,di,di in km h in meters K B.5 Great circle distance A North Pole Figure B.6 For distance C to B cos a = cos b cos c + sin b sin c cos A B.6 Fresnel zone radius D F F = 0.55 " ] f(MHz )xD Fresnel zone radius (in meters) distance from site...
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Introduction to Electronic Warfare Modeling

David Adamy - Electronics in military engineering - 252 pages
...of Sines for Spherical Triangles sin a _ sin b sin c sin A sin B sin C • Law of Cosines for Sides cos a = cos b cos c + sin b sin c cos A • Law of Cosines for Angles cos A = - cos B cos C+ sin B sin Ccos a Side a can, of course, be any...
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Représentation des états de polarisation des ondes lumineuses

François Bréhat, Bruneau Wyncke - 2003 - 248 pages
...être écrite sous la forme : Utilisons la relation fondamentale de la trigonométrie sphérique : cos a = cos b cos c + sin b sin c cos A (TS3a) appliquée au triangle sphérique pPA, tracé sur la Sphère de Poincaré de rayon unité (figure...
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Practical Variable Speed Drives and Power Electronics

Malcolm Barnes - Technology & Engineering - 2003 - 604 pages
...MHz D,d\,d2 i" k h in meters B.5 Great circle distance A North Pole Figure B.6 For distance C to B cos a = cos b cos c + sin b sin c cos A B.6 Fresnel zone radius F = 0.55 D F n ] f(MHz)xD Fresnel zone radius (in meters) distance from site...
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Telescopes and Techniques: An Introduction to Practical Astronomy

Christopher R. Kitchin - Nature - 2003 - 276 pages
...triange Figure 4.21. Spherical triangle. 1 Sine rule sin a sin b sin c sin A sinB sin C 2 Cosine rule cos a = cos b cos c + sin b sin c cos A. (4.16) (4.17) 3 Four parts rule (since it involves four of the six angles and sides) cos a cos C =...
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Structure Determination by X-ray Crystallography

Mark F.C. Ladd, Rex A. Palmer - Science - 2003 - 874 pages
...relations apply to poles B and C. spherical triangles, and are easily proved with the aid of Figure A5.1: cos a = cos b cos c + sin b sin c cos A (A5. 1 ) sin A/ sin a = sin B/ sin b = sin C / sine (A5.2) Other examples of (A5.1) can be set down...
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De spiegel van de wereld: fundamenten van de cartografie

Philippe de Maeyer, Beata M. de Vliegher, Marijke Brondeel - 2004 - 391 pages
...radialen in een boldriehoek met de hoekpunten A, B en C en resp. zijden a, b en c geldt de cosinusregel: 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 in een boldriehoek...
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Mathematics Handbook for Science and Engineering

Lennart Rade, Bertil Westergren - Mathematics - 2004 - 572 pages
...cyclic permutation) (2) 18 l£_^ sin a smp smy ,, ... . (6) = C = '- (law of sines) sin a smfc sine (7) cos a = cos b cos c + sin b sin c cos a (8) cos a=-cos /Jcos y+sin /Jsin ycosa (/flVVJ (5) a Delambre 's equations Napier's equations 180°...
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Commentationes physicae ad theoriam caloris, electricitatis et magnetismi ...

Leonhard Euler - Mathematics - 2004 - 624 pages
...the angles and the sides of any triangle T . Let us take the example of the following formula: (I) cos a = cos b cos c + sin b sin c cos A This formula is valid for any triangle T with sides (a,b,c) and angles (A, fi, C), and thus it is valid...
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Higher Surveying

A. M. Chandra - Surveying - 2005 - 436 pages
...triangle are known, the remaining three may be computed by the following formulae: sin a sin b sinc (//) cos a = cos b cos c + sin b sin c cos A ... (7.8) cos a -cos b cosc sin b sinc (rv) cos .4 =-cos 5 cos C+ sin B sin Ccos a ...(7.10) Taking...
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