 | Daniel Alexander Murray - 1906 - 466 pages
...manner, or can be obtained from (3) by symmetry : These 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... | |
 | 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=(?).... | |
 | Lester Gray French - Steam-turbines - 1907 - 440 pages
...the simple formulas of trigonometry. The most important formula used is the one stating that "In any triangle the square of any side is equal to the sum of the squares of the other two sides, minus twice their product into the cosine of their included angle."... | |
 | 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=(?).... | |
 | Daniel Alexander Murray - Plane trigonometry - 1908 - 358 pages
...c? + a>-2cacosB, i? = a2 + 62 - 2 ab cos C. (3') These 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... | |
 | 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 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... | |
 | 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 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... | |
 | Edward Rutledge Robbins - Logarithms - 1909 - 184 pages
...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... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 304 pages
...I. 437. THEOREM. The square of a side opposite an acute angle of a triangle 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 upon it. CC cm Outline of Proof : In either figure... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 300 pages
...I. 437. THEOREM. Tlie square of a side opposite an acute angle of a triangle 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 upon it. om Outline of Proof : In either figure... | |
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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 and the cosine of their included angle. 
