| Yale University. Sheffield Scientific School - 1905 - 1074 pages
...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...sides and the projection of the other side upon it.** 3. The areas of two similar triangles are to each other as the squares of any two homologous sides.... | |
| James Morford Taylor - Trigonometry - 1905 - 256 pages
...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... | |
| 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 :... | |
| 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... | |
| 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... | |
| 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 - 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...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 at B. Let... | |
| 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...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 at -B. Let... | |
| 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...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 is equivalent... | |
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