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. A Text-book of Geometry - Page 157by George Albert Wentworth - 1888 - 386 pagesFull view - About this book
| George Roberts Perkins - Geometry - 1860 - 474 pages
...THEORRM XVI. 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, by the projection of the other on the preceding one, produced if necessary. If the angle... | |
| William Chauvenet - Geometry - 1871 - 380 pages
...THEOREM. 52. In any triangle, the square of the side opposite to 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 upon that side. Let C be an acute angle of the triangle... | |
| William Chauvenet - Geometry - 1872 - 382 pages
...XV.—THEOREM. 52. 7)i any triangle, the square of the side opposite to 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 •upon thnt side. Let C be an acute angle of the triangle... | |
| Harvard University - 1874 - 668 pages
...proportionally. 6. In any triangle the square of the side opposite to an acute angle is equal to the Bum of **the squares of the other two sides diminished by twice the product of one of** these sides and the projection of the other upon that side. 7. The area of a trapezoid is equal to... | |
| United States Naval Academy - 1874 - 886 pages
...length. 3. Prove that in any triangle the square of a side opposite an aeute angle is equal > th« sum of **the squares of the other two sides diminished by twice the product of** R- of these sides and the projection of the other upon that side. Show how to draw tangent to a given... | |
| George Albert Wentworth - Geometry - 1877 - 416 pages
...THEOREM. 335. In any triangle, the square on the side opposite an acute angle is equivalent to the sum of **the squares of the other two sides diminished by twice...sides and the projection of the other upon that side.** A Lot C be an acute angle of the triangle ABC, and DC the projection of AC upon B C. We are to prove... | |
| George Albert Wentworth - Geometry - 1877 - 426 pages
...THEOREM. 335. ln any triangle, the square on the side opposite an acute angle is equivalent to the sum of **the squares of the other two sides diminished by twice...of those sides and the projection of the other upon** thai side. Let С be ал acate angle of the triangle ABС, and D С the projection of AС upon B С.... | |
| George Albert Wentworth - Geometry - 1877 - 436 pages
...opposite the obtuse angle is equivalent to the sum of the squares of the other two sides increased **by twice the product of one of those sides and the projection of the other** on that side. A с ^в Let С be the obtuse angle of the triangle ABC, and CD be the projection of... | |
| George Albert Wentworth - Geometry - 1877 - 416 pages
...the square on the side opposite an ande angle is equivalent to the sum of the squares of the oiler **two sides diminished by twice the product of one of those sides and** t he projection of the other upon that side. D Fig. 1. Fig. 2. Let С be an acute angle of the triangle... | |
| William Henry Harrison Phillips - Geometry - 1878 - 236 pages
...[acute'] angle is equal to the sum of the squares of the other two sides [,£jj twice the rectangle **of one of those sides, and the projection of the other upon** it. HYPOTH. In the triangles ABC, the angle ACB is obtuse in Fig, 1, and acute in Figs. 2 and 3 (produced)... | |
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