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 Livres Livres 41 - 50 sur 104 pour In any triangle, the sides are proportional to the sines of the opposite angles,....
In any triangle, the sides are proportional to the sines of the opposite angles, ie. t abc sin A sin B sin C...
A Compleat Treatise of Practical Navigation Demonstrated from It's First ... - Page 57
de Archibald Patoun - 1734 - 414 pages
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## THE ELEMENTS OF PLANE AND SPHERICAL TRIGONOMETRY

...sides and the angles. Formulas embodying such relations will now be established. 44. Law of Sines. In any triangle the sides are proportional to the sines of the opposite angles. Fid. 31 Proof. In the triangle ABC draw the perpendicular CT). Then, if all the angles...
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## A textbook on metallurgy of gold, silver, copper, lead, and zinc, Volume 3

...two solutions are possible. 615. The solution of the triangle depends upon the following principle: In any triangle, the sides are proportional to the sines of the opposite angles. Thus, referring to Fig. 68, the following proportions are true: a : b = sin A : sin...
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## A practical treatise on mine surveying

Arnold Lupton - 1902 - 414 pages
...lx"-71° 18' 40"= 50° 22' 53" Case 2. — To solve a triangle, having giren two angles and a side. In any triangle the sides are proportional to the sines of the opposite angles. mi a '' >'• Thus . — r = -s — ^ = - -=f sin A sin B sin C Let A and C be the...
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## the Elements Of Analytic Geometry

Percery F. Smith PH.D - 1904
...; tan 2 x = l - tan2x .X l— COSX X /1+COSX 16. юп-=±д| jeoB-=±-' 16. Theorem. Law of sines. In any triangle the sides are proportional to the sines of the opposite angles ; rt Ъ r that is, sin A sin В sin С 17. Theorem. Law of cosines. In any triangle...
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## The Elements of Analytic Geometry

Percey Franklyn Smith, Arthur Sullivan Gale - 1904 - 424 pages
...cos x ; cos 2 x = cos2 x — sin2 x ; tan 2 x = x /1 15. sin- = ± •%/16. Theorem. Law of sines. In any triangle the sides are proportional to the sines of the opposite angles ; abc that is, sin A sin Б sin С 17. Theorem. Law of cosines. In any triangle the...
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## Introduction to Analytic Geometry

Percey Franklyn Smith, Arthur Sullivan Gale - 1905 - 217 pages
...• ] ji j14. sin2x = 2 sinx cos x ; cos 2 ж = cos2x — sin2x ; tan2x = 16. Theorem. Law of sines. In any triangle the sides are proportional to the sines of the opposite angles; abc that is, - — r = ^-;; = ^-^sm A sin В sm С 17. Theorem. Law of cosines. In...
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## Geometry: Plane Trigonometry. Chain Surveying. Compass Surveying. Transit ...

...naming the sides and angles of a triangle, see Plane Trigonometry, Part 1. 18. Principle of Sines. — In any triangle, the sides are proportional to the sines of the opposite angles. That is, a. _ sin A a _ sin A .b sin R b sin B1 c sin C' c sin C Let ABC, Fig. 6,...
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## A First Statics

Charles Samuel Jackson, Robert Moir Milne - 1907 - 372 pages
...Lami's theorem is the translation into a statical proposition of the trigonometrical proposition that in any triangle the sides are proportional to the sines of the opposite angles. c Resolving. — If ABC is any A and AA', BB' and CC' are drawn perpendicular on any...
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## Elements of Applied Mathematics

Herbert E. Cobb - 1911 - 274 pages
...perpendicular from A to a we may obtain, in a similar manner, sin C sin B bc sin A sin B sin C LAW OF SINES. In any triangle the sides are proportional to the sines of the opposite angles. When a side and two angles of a triangle are given we may find the other two sides...
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## Plane and Sperical Trigonometry, with Five-place Tables: A Text-book for ...

Robert Edouard Moritz - 1913 - 453 pages
...sin С. (г) Equation (i) or (2) embodies what is known as the Law of Sines, which states that, — In any triangle the sides are proportional to the sines of the opposite angles. (b) Second proof. The Law of Sines may be proven in another way, which at the same...
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