 | Edward Rutledge Robbins - Geometry, Plane - 1906 - 268 pages
...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=(?). Proof :... | |
 | International Correspondence Schools - Building - 1906 - 634 pages
...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 angle. That is (Fig. 6), a' = f + c' - 2 bc cos A... | |
 | Plane trigonometry - 1906 - 230 pages
...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 angle. That is (Fig. 6), a' = b' + c' - 2 bc cos A... | |
 | Daniel Alexander Murray - 1906 - 466 pages
...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... | |
 | Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...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=(?). Proof:... | |
 | Webster Wells - Geometry, Plane - 1908 - 208 pages
...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...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 &ABC ; draw also AABC having an obtuse angle... | |
 | Webster Wells - Geometry - 1908 - 336 pages
...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...one of these sides and the projection of the other side upon it. AA B C B Fio. 1. Fio. 2. Draw acute-angled A ABC ; draw also &ABC having an obtuse angle... | |
 | Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...triangle, the square on the side opposite an acute angle is equivalent to the sum of the squares on the other two sides minus twice the product of one of these sides and the projection of the other side upon it. 407. In any obtuse-angled triangle, the square on the side opposite the obtuse angle... | |
 | Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...any triangle, the square on the side opposite an acute angle is equal to the sum of the squares on the other two sides minus twice the product of one of these sides and the projection of the oiher sule upon it. AA Given : A ABC, an acute ZC, and the projection DC of AC on BC. To Prove : AB2... | |
 | Webster Wells - Geometry, Plane - 1908 - 206 pages
...the side opposite the obtuse angle is equal to the sum of the squares of the other two sides, plus twice the product of one of these sides and the projection of the other side upon it. Draw A ABC having an obtuse angle at C; draw AD _L BC, meeting BC extended at D. We then... | |
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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. 
