 | Yale University. Sheffield Scientific School - 1905 - 1074 páginas
...constructions. 2. 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. 3. The areas of two similar triangles... | |
 | Daniel Alexander Murray - 1906 - 466 páginas
...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... | |
 | Joseph Claudel - 1906 - 758 páginas
...equations prove that which was to be demonstrated, namely : sin A __ sin B _ sin C abc 1057. THEOREM 3. In any triangle, the square of one side is equal to the sum of the squares of the other two, less twice their product times the cosine of the included angle. Thus, for... | |
 | 1906 - 230 páginas
...which it is stated in th1s article should be committed to memory. 19. The Cosine Principle. — fn any triangle, the square of one 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 ot their included... | |
 | Edward Rutledge Robbins - 1906 - 268 páginas
...346. THEOREM. 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 two sides and the projection of the other side upon that one. Given: (?). To Prove: c2=(?).... | |
 | Edward Rutledge Robbins - 1907 - 428 páginas
...346. THEOREM. 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 two sides and the projection of the other side upon that one. Given: (?). To Prove: c2=(?).... | |
 | Daniel Alexander Murray - 1908 - 358 páginas
...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... | |
 | Webster Wells - 1908 - 208 páginas
...THEORKM 255. 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. O D B a B Fio. 1. FIG. 2. Draw acute-angled... | |
 | Webster Wells - 1908 - 336 páginas
...THEOREM 255. 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. AA B C B Fio. 1. Fio. 2. Draw acute-angled... | |
 | Edward Rutledge Robbins - 1909 - 184 páginas
...that one. 346. 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 two sides and the projection of the other side upon that one. 378. The area of a triangle... | |
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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. 
