 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 - Pàgina 71906 - 188 pàginesVisualització completa - Sobre aquest llibre
 | Yale University. Sheffield Scientific School - 1905 - 1074 pàgines
...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 pàgines
...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... | |
 | International Correspondence Schools - 1906 - 634 pàgines
...which it is stated in this article should be committed to memory. 19. The Cosine Principle. — In 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 of their included... | |
 | Joseph Claudel - 1906 - 758 pàgines
...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... | |
 | Edward Rutledge Robbins - 1906 - 268 pàgines
...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 pàgines
...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 pàgines
...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 pàgines
...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 pàgines
...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 pàgines
...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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