| George Roberts Perkins - Geometry - 1860 - 472 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 - 888 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...one of those 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.... | |
| George Albert Wentworth - Geometry - 1877 - 426 pages
...335 (in any Л the square on the side opposite an acute Z is equivalent to the sum of the squares on **the other two sides, diminished by twice the product...one of those sides and the projection of the other** upon that side). Add these two equalities, and observe that BM = M С. Then A~ff + AC2 = 2 BM2 + 2... | |
| 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... | |
| George Albert Wentworth - 1881 - 266 pages
...335. In any triangle, the square un the side opposite an acute angle is equivalent to tfie sum of (he **squares of the other two sides diminished by twice...one of those sides and the projection of the other** upon that side. F1g. 2. Let С be an acute angle of the triangle ABC, and DC the projection oí AC... | |
| |