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" In a triangle, the square of any side is equal to the sum of the squares of the other two sides minus twice their product times the cosine of the included angle... "
First Book in General Mathematics - Page 232
1917 - 257 pages
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Plane Geometry

John Wesley Young, Albert John Schwartz - Geometry, Modern - 1915 - 248 pages
...B = 46°, 36'. Ans. C = 123° 12', 6 = 205.1, c = 236.4. 202 OBLIQUE TRIANGLES 463. THEOREM. 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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Machinery's Handbook for Machine Shop and Drafting-room: A Reference Book on ...

1915 - 1436 pages
...A b ~ sin В The Law of Cosines. — In a triangle, the square of any side is equal to the ¿cm of the squares of the other two sides minus twice their product times the mane of the included angle; or if a, b and с be the sides and the angle opposite •de e b« denoted...
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Mathematics for Collegiate Students of Agriculture and General Science

Alfred Monroe Kenyon, William Vernon Lovitt - Mathematics - 1917 - 368 pages
...head, since we may find the third angle which lies opposite the given side. 100. 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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Introduction to the Elementary Functions

Raymond Benedict McClenon - Functions - 1918 - 264 pages
...law may be stated in words as follows : The square of any side of a triangle is equal to the sum of the squares of the other two sides, minus twice their product times the cosine of the included angle. As in the case of the other theorems of this section, the student should carry...
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Plane and Spherical Trigonometry

Leonard Magruder Passano - Trigonometry - 1918 - 168 pages
...8.8691 a = .07398 56. The Law of Cosines. Case IV may be solved by means of the following theorem : In a triangle the square of any side is equal to the sum of the squares of the other two sides minus twice the product of those sides by the cosine of their included...
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Plane and Spherical Trigonometry

Leonard Magruder Passano - Trigonometry - 1918 - 176 pages
...8.8691 a = .07398 56. The Law of Cosines. Case IV may be solved by means of the following theorem : In a triangle the square of any side is equal to the sum of the squares of the other two sides minus twice the product of those sides by the cosine of their included...
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Elements of Plane Trigonometry

Alfred Monroe Kenyon, Louis Ingold - Plane trigonometry - 1919 - 306 pages
...solution of oblique triangles, which is given in the following chapter. 38. The 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 their product into the cosine of their included angle. Denote...
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General Mathematics, Book 2

Raleigh Schorling, William David Reeve - Mathematics - 1922 - 460 pages
...of a triangle differs from the sum of the squares on the other two sides. AREAS 466. Theorem. 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: With Practical Applications

Leonard Eugene Dickson - Plane trigonometry - 1922 - 225 pages
...its base. 17. Solve Exs. 2 and 7 of Art. 88 by using only right triangles. 90. Law of cosines. In any triangle the square of any side is equal to the sum of the squares of the remaining two sides diminished by double the product of those two sides multiplied by...
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A Course in Electrical Engineering, Volume 2

Chester Laurens Dawes - Electric engineering - 1922 - 600 pages
...tan 2x = - tan2x o sin , Law of Sines. — In any triangle 6_ C sin B sin C 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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