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" In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides, minus twice the product of one of these sides and the projection of the other side upon it. "
Plane Trigonometry - Pągina 7
1906 - 188 pągines
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Annual catalogue

University of the South - 1896 - 148 pągines
...rhombus. (5) In any triangle the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides, minus twice the product of one of these sides into the projection of the other side upon it. IV. LATIN. Sight reading: Cicero...
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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - 1896 - 554 pągines
...THEOREM 325. In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides, minus twice the product of one of these sides and the projection of the other side upon it. a no. t n FIG. • GIVEN the triangle...
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Elements of Plane and Spherical Trigonometry

James William Nicholson - 1898 - 204 pągines
...the following is the 56 Translation: The square of any side of any triangle is equal to the sum of the squares of the other two sides, minus twice the product of these sides into the cosine of their included angle. While all other trigonometric relations of the sides...
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Yale University Entrance Examinations in Mathematics: 1884 to 1898

1898 - 228 pągines
...straight lines. 3. In any triangle the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides, minus twice the product of one of these sides and the projection of the other side upon it. 4. State and prove the theorem for...
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The Essentials of Geometry (plane)

Webster Wells - 1898 - 250 pągines
...THEOREM 277. In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides, minus twice the product of one of these sides and the projection of the other side upon it. D B fig. 1. Fig. 2. D Given C an acute...
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Plane Trigonometry, for Colleges and Secondary Schools

Daniel Alexander Murray - 1899 - 350 pągines
...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 of their included angle. NOTE. In Fig. 49 a, A is acute and cos A is positive...
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The Essentials of Geometry

Webster Wells - 1899 - 424 pągines
...THEOREM 277. In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides, minus twice the product of one of these sides and the projection of the other side upon it. CD B Fig. 1. Fig. t. Given C an acute...
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The Essentials of Geometry

Webster Wells - 1899 - 450 pągines
...THEOREM 277. In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides, minus twice the product of one of these sides and the projection of the other side upon it. D Fig. 1. B Given C an acute Z of...
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Plane Trigonometry

James Morford Taylor - 1904 - 192 pągines
...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 included angle. In figures 35 regard AD, DB, and AB as directed lines. Then...
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Plane and Spherical Trigonometry

James Morford Taylor - 1905 - 256 pągines
...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 included angle. In figures 35 regard AD, DB, and A В as directed lines. Then...
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