 | Euclid - Euclid's Elements - 1904 - 488 pages
...than the sum of the squares on the sides containing that angle, by twice the rectangle contained by one of these sides and the projection of the other side upon it. (ii) Comparing the Enunciations of II. 12, i. 47, II. 13, we see that in the triangle ABC, if the angle... | |
 | James Morford Taylor - History - 1904 - 192 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 AB as directed... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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...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... | |
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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. 
