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
| George Roberts Perkins - Geometry - 1860 - 468 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** these sides, by the projection of the other on the preceding one, produced if necessary. If the angle... | |
| William Chauvenet - Geometry - 1871 - 380 pages
...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
...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
...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... | |
| Wm. H. H. 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)... | |
| George Albert Wentworth - 1881 - 266 pages
...side opposite the obtuse Z is equivalent to the sum of the squares on the other two sides increased **by twice the product of one of those sides and the projection of the other** on that side) ; and ГC* ^ ЖТ? + AM* -2MCX MD, § 335 any A the square on the side opposite an acute... | |
| Brookline (Mass.) - Brookline (Mass.) - 1881 - 676 pages
...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. Prove. 4. To find a mean proportional between... | |
| George Albert Wentworth - Geometry, Plane - 1882 - 268 pages
...and A~C* = MD* + Á~M*—2MC X MD, §335 (in any Л the. square on the side opposite an acute Z is **equivalent to the sum of the squares on the other...product of one of those sides and the projection of** tlie other upon that side). Add these two equalities, and observe that BM = M С. . Then A~ff + AC?... | |
| Franklin Ibach - Geometry - 1882 - 208 pages
...square on the side opposite an acute anale equals the sum of the squares of the other two sides minus **twice the product of one of those sides and the projection of the other upon that side.** In the A ABC, let с be an acute Z., and PC the projection of AC upon BC. A To prove that AB* = BC*... | |
| Henry Elmer Moseley - Universities and colleges - 1884 - 214 pages
...that the square of a side of a triangle 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 upon that side. 7. Two tangents drawn from the same point... | |
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