 | 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=(?).... | |
 | 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... | |
 | 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... | |
 | 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 - 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... | |
 | 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... | |
 | Daniel Alexander Murray - Plane trigonometry - 1911 - 158 pages
...Similar formulas for 6, c, can be derived in like manner, or can be obtained from (1) by symmetry, viz. : 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... | |
 | Herbert E. Cobb - Mathematics - 1911 - 296 pages
...by dropping perpendiculars from A and B we get J 2 = a 2 + c 2 - 2 ac cos B. cos C. LAW OF COSINES. In any triangle the square of any side is equal to the sum of the squares of the other two sides less twice the product of these two sides and the cosine of the included... | |
 | Geometry, Plane - 1911 - 192 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 product of one of these sides and the projection of the other side upon it. 3. The areas of two similar triangles... | |
 | Robert Louis Short, William Harris Elson - Mathematics - 1911 - 216 pages
...XLVIII 195. 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. Draw A ABC, either acute-angled or... | |
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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. 
