 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 of one of those sides and the projection of the other side upon it.  An Examination Manual in Plane Geometry - Page 104by George Albert Wentworth, George Anthony Hill - 1894 - 138 pagesFull view - About this book
 | 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 of 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... | |
 | 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 of one of those sides and the projection of the other side upon it. Hyp. In A abc, p is the projection of b upon... | |
 | 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 of one of those sides and the projection of the other side upon it- i Hyp. In A abc, p is the projection of b... | |
 | 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...one of these sides and the projection of the other side upon it. 7. Prove : The area of a regular polygon is equal to one-half the product of its perimeter... | |
 | Alan Sanders - Geometry - 1903 - 392 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 oiher side upon it. b B Let ABC be a A in which BC lies opposite an acute angle, and AD is the projection... | |
 | Alan Sanders - Geometry - 1903 - 396 pages
...oblique is less than the line itself. PROPOSITION XII. THEOREM 659. In 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... | |
 | Fletcher Durell - Geometry - 1911 - 553 pages
...oblique triangle, tlie 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. ADO Fig. 1 Given acute ZC in A ABC, and DC... | |
 | 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,... | |
 | 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... | |
 | Yale University. Sheffield Scientific School - 1905 - 1074 pages
...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 are to each other as the squares of any two homologous... | |
| |
