 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 diminished by twice the product of one of those sides and the projection of the other upon that side.  Elements of Plane and Solid Geometry - Page 188by George Albert Wentworth - 1877 - 398 pagesFull view - About this book
 | Edward Brooks - Geometry, Modern - 1901 - 278 pages
...AC2. PROPOSITION XIII. — THEOREM. In any triangle the square on a side opposite an acute angle is equivalent to the sum of the squares on the other...sides and the projection of the other upon that side. Given. — Let ABC be any triangle, B an acute angle, and BD the projection of BC on AB. To Prove.... | |
 | Arthur Schultze - 1901 - 260 pages
...In any triangle, the square of a side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product...one of those sides and the projection of the other side upon it. Hyp. In A a&c, p is the projection of 6 upon c, and the angle opposite a is an acute... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...In any triangle, the square of a side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product...one of those sides and the projection of the other side upon it. Hyp. In A abc, p is the projection of b upon c, and the angle opposite a is an acute... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...In any triangle, the square of a side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product...one of those sides and the projection of the other side upon it. Hyp. In A abc, p is the projection of b upon c, and the angle opposite a is an acute... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...In any tnangle, the square of a side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product...one of those sides and the projection of the other side upon it- i Hyp. In A abc, p is the projection of b upon c, and the angle opposite a is an acute... | |
 | Alan Sanders - Geometry, Modern - 1901 - 260 pages
...any 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 product of one of these sides and the projection of the other side upon it. M RB D Let ABC be a A in which BC lies opposite... | |
 | Education - 1903 - 630 pages
...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 diminished by twice the product of one of these sides and the projection of the other side upon it. 7. Prove : The area of a regular polygon... | |
 | Alan Sanders - Geometry - 1903 - 396 pages
...any 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 product of one of these sides and the projection of the other side upon it. B c Let ABC be a A in which BC lies opposite... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides by the projection of the other upon that side. D Fio. 1. Fio. 2. Let C be an acute angle of the triangle... | |
 | Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...oblique triangle, tJie square of a side opposite an acute angle is equal to the sum of the squares of the other two sides, diminished by twice the product of one of those sides by the projection of the other side upon it. D Fig. 1 Eig.i Given acute /. C in A ABC, and DC the projection... | |
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