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" In any triangle the square of any side is equal to the sum of the squares of the other two sides minus twice the product of these two sides and the cosine of their included angle. "
A Treatise on Plane and Spherical Trigonometry - Page 32
by Ephraim Miller - 1894 - 193 pages
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Elements of Plane and Spherical Trigonometry

Edwin Schofield Crawley - Trigonometry - 1890 - 184 pages
...tan~T(A — B)' with similar expressions for the other pairs of sides. (83) FIG. 21 bis. о 63. //( any triangle the square of any side is equal to the sum of the squares of the other two sides minus twice the product of these sides and the cosine of the included...
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A Treatise on Plane and Spherical Trigonometry: And Its Applications to ...

Edward Albert Bowser - Trigonometry - 1892 - 392 pages
...sin С sin A sin A sin B sin C a : ¿, : с = sin A : sin B : sin C. 96. Law of Cosines. — In any triangle the square of any side is equal to the sum of the squares of the other two sides minus twice the product of these sides and the cosine of the included...
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Elements of Plane and Spherical Trigonometry: With Numerous Examples

Edward Albert Bowser - Trigonometry - 1892 - 194 pages
...sin G sin A sin A sin B sin G о : b : с = sin A : sin B : sin С. 56. Law of Cosines. — In any triangle the square of any side is equal to the sum of the squares of the other two sides minus twice the product of these sides and the cosine of the included...
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Plane Trigonometry, for Colleges and Secondary Schools

Daniel Alexander Murray - Plane trigonometry - 1899 - 350 pages
...62 = c2 + a2-2cacos.B, i? = a2 + b*-2abcosC. (3') These formulas can be expressed in words : In any triangle, the square of any side is equal to the sum of the squares of the other two sides minus twice the product of these two sides multiplied by the cosine...
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Plane Trigonometry

James Morford Taylor - History - 1904 - 192 pages
...be equal to the diameter of the circle circumscribed about the triangle ABC. Law of cosines. In any triangle the square of any side is equal to the sum of the squares of the other two sides minus twice the product of these two sides into the cosine of their...
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Plane and Spherical Trigonometry

James Morford Taylor - Trigonometry - 1905 - 256 pages
...be equal to the diameter of the circle circumscribed about the triangle ABС. Law of cosines. In any triangle the square of any side is equal to the sum of the squares of the other two sides minus twice the product of these two sides into the cosine of their...
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Plane Trigonometry

Daniel Alexander Murray - 1906 - 466 pages
...manner, or can be obtained from (3) by symmetry : These formulas can be expressed in words : In any triangle, the square of any side is equal to the sum of the squares of the other two sides minus twice the product of these two sides multiplied by the cosine...
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Steam Turbines, Practice and Theory

Lester Gray French - Steam-turbines - 1907 - 440 pages
...the simple formulas of trigonometry. The most important formula used is the one stating that "In any triangle the square of any side is equal to the sum of the squares of the other two sides, minus twice their product into the cosine of their included angle."...
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Plane [and Spherical] Trigonometry for Colleges and Secondary Schools

Daniel Alexander Murray - Plane trigonometry - 1908 - 358 pages
...c? + a>-2cacosB, i? = a2 + 62 - 2 ab cos C. (3') These formulas can be expressed in words : In any triangle, the square of any side is equal to the sum of the squares of the other two sides minus twice the product of these two sides multiplied by the cosine...
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Elements of Applied Mathematics

Herbert E. Cobb - Mathematics - 1911 - 298 pages
...perpendiculars from A and B we get b2 = a2 + c2 - 2 ac cos B. c2 = a2 + b2 - 2 ab cos C. LAW OF COSINES. In any triangle the square of any side is equal to the sum of the squares of the other two sides less twice the product of these two sides and the cosine of the included...
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