| Charles Davies - Geometry - 1854 - 436 pages
...and side of a square are incommensurable. PROPOSITION XII. THEOREM. In any triangle, the square of a **side opposite an acute angle is equivalent to the sum of the squares of** the base and the other side, diminished by twice the rectangle contained by the base and the d1stance... | |
| Edward Olney - Geometry - 1872 - 102 pages
...also as a direct consequence of (36O). FIG. 377. 669. In an oblique angled triangle the square of a **side opposite an acute angle is equivalent to the sum of the squares of** the other two sides diminished by twice the rectangle of the base, and the distance from the acute... | |
| Edward Olney - Geometry - 1872 - 562 pages
...direct consequence of (360). fc~— — J Fio. 877. 66,9. In an oblique angled triangle the square of a **side opposite an acute angle is equivalent to the sum of the squares of** the other two sides diminished by twice the rectangle of the base, and the distance from the acute... | |
| Edward Olney - Geometry - 1872 - 96 pages
...also as a direct consequence of (360), \ FIG. 377. 669. In an oblique angled triangle the square of a **side opposite an acute angle is equivalent to the sum of the squares of** the other two sides diminished by twice the rectangle of the base, and the distance from the acute... | |
| George Albert Wentworth - Geometry - 1877 - 436 pages
...; that is, D P. GEOMETRY. — BOOK IV. PROPOSITION IX. THEOREM. 335. In any triangle, the square un **the side opposite an acute angle is equivalent to the sum of the squares of** the other two sides diminished by twice the product of one of those sides and the projection of the... | |
| William Frothingham Bradbury - Geometry - 1877 - 262 pages
...AGHB ; or 671 Corollary. Since ~A~T? and BOOK IL THEOREM XXVIII. 68 1 In a triangle the square of a **side opposite an acute angle is equivalent to the sum of the squares of** the other two sides minus twice the product of one of these sides and the distance from the vertex... | |
| William Frothingham Bradbury - Geometry - 1880 - 260 pages
...AGHB , or 67i Corollary. Since re- 2 —Tff +TC2 THEOREM XXVIII. 68. In a triangle the square of a **side opposite an acute angle is equivalent to the sum of the squares of** the other two sides minus twice the product of one of these sides and the distance from the vertex... | |
| Alfred Hix Welsh - Geometry - 1883 - 326 pages
...THEOREM XII. 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 rectangle contained by one of** these sides and the projection on it of the other. Let a, b, c, be the sides of the triangle, A va... | |
| George Albert Wentworth - Geometry - 1885 - 424 pages
...th perpendicular CP; that is, D P. PROPOSITION IX. THEOREM. 335. In any triangle, the square on ihe **side opposite an acute angle is equivalent to the sum of the squares of** the other two sides diminished by twice the product of one of those sides and the projection of the... | |
| George Albert Wentworth - 1889 - 276 pages
...equivalent to the sum of the squares upon the two legs. 191. Theorem. In a triangle the square upon a **side opposite an acute angle is equivalent to the sum of the squares** upon the other two sides, diminished by twice the rectangle of one of these sides and the projection... | |
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