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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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## Shop Mathematics ...: Advanced shop mathematics

...written in the following form : abc sin A - sin B- sin C Written in words this would be as follows: "In any triangle, the sides are proportional to the sines of the angles opposite them." 139. Application of Laws to Problems. — There may be four possible cases of...
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## Manual of Petrographic Methods

Albert Johannsen - 1914 - 649 pages
...incidence, F'iAM = r= the angle of refraction, and Ri = AM = the radius of curvature of the lens. Since in any triangle the sides are proportional to the sines of the opposite angles, we have, in the triangle MAFiM: (i) i ART. 85] LENSES 117 and in the triangle MAF'\M...
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## PLANE TRIGONOMETRY WITH TABLES

CLAUDE IRWIN PALMER - 1914
...derived from the formulas growing out of the sine theorem and cosine theorem. 76. Sine theorem. — In any triangle the sides are proportional to the sines of the opposite angles. First proof. In Fig. 81, let ABC be any triangle, and let h be the perpendicular from...
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## Plane and Spherical Trigonometry

Claude Irwin Palmer, Charles Wilbur Leigh - 1916 - 188 pages
...derived from the formulas growing out of the sine theorem and cosine theorem. 76. Sine theorem. — In any triangle the sides are proportional to the sines of the opposite angles. First proof. In Fig. 81, let ABC be any triangle, and let h be the perpendicular from...
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## Plane and Spherical Trigonometry

Leonard Magruder Passano - 1918 - 141 pages
...a, b, c. 51. The Law of Sines. — Cases I and II may be solved by means of the following theorem. In any triangle the sides are proportional to the sines of the opposite angles. That is, Fig. 25, a : b : c = sin A : sin B : sin C. (27) 68 VI, § 52] SOLUTION OF...
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## Introduction to the Elementary Functions

Raymond Benedict McClenon, William James Rusk - 1918 - 244 pages
...important relation is known as the Law of (5) (6) D (a) FIG. Sines. It may be stated in words as follows : In any triangle the sides are proportional to the sines of the opposite angles. 119. We have proved only that this law is true for acuteangled triangles; in Fig....
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## Plane and Spherical Trigonometry

Leonard Magruder Passano - 1918 - 141 pages
...a, b, c. 51. The Law of Sines. — Cases I and II may be solved by means of the following theorem. In any triangle the sides are proportional to the sines of the opposite angles. That is, Fig. 25, ab:c=sinA:amB:ainC. (27) VI, § 52] SOLUTION OF GENERAL TRIANGLES...
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## Principles and Applications of Mathematics for Communications-electronics

1992
...and the angle included between them are given. d. When the three sides are given. 1 66. Law of Sines In any triangle, the sides are proportional to the sines of the opposite angles. ' sin Л "" sin В " sin C' a. Two Angles and One Side Given. Example: Solve for the...
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## Laws and Models: Science, Engineering, and Technology

Carl W. Hall - 2018 - 560 pages
...1902-1984, American paleontologist Source: Lincoln, RJ 1982. SIMPSON RULE— SEE AREA SINE LAW; LAW OF SINES In any triangle the sides are proportional to the sines of the opposite angles, or the sine of an angle is the ratio of the opposite side and hypotenuse of a right...
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## Practical Problems in Mathematics for Drafting and CAD

John C. Larkin, John Larkin - 2005 - 338 pages
...Drafters should utilize these formulas when applicable. The Law of Sines The law of sines states that in any triangle, the sides are proportional to the sines of the opposite angles. The law of sines is used to solve the following types of problems: • where only...
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