 | William Chauvenet - Geometry - 1871 - 380 pages
...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 (7 be an acute angle of the triangle ABC, A Pthe projection of A upon BC by the... | |
 | Henry William Watson - Geometry - 1871 - 320 pages
...the sum of the squares of the two remaining sides is equal to twice the rectangle contained by either one of these sides and the projection of the other side upon that side. Fig- 35. F'g- 36. Let ABC be any triangle, then the square of any side, as AC, shall be... | |
 | William Chauvenet - Mathematics - 1872 - 382 pages
...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 ABC, P the projection of A upon BC by the... | |
 | William Chauvenet - Geometry - 1872 - 382 pages
...opposite to the obtuse angle is equal to the sum of the squares of the other two sides, increased by tunce the product of one of these sides and the projection of the other upon that side. Let C be the obtuse angle of the triangle ABC, -j^ P the projection of A upon BC (produced);... | |
 | Harvard University - 1874 - 668 pages
...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 the product of its altitude by half the sum... | |
 | William Frothingham Bradbury - Geometry - 1877 - 262 pages
...XXIX. 70. In a triangle the square of the side opposite the obtuse angle is equivalent to the sum of the squares of the other two sides plus twice the product of one of these sides and the distance from the vertex of the obtuse angle to the foot of the perpendicular let fall upon this side... | |
 | William Frothingham Bradbury - Geometry - 1880 - 260 pages
...obtuse-angled trianr/le the square of the side opposite the obtuse anyle is equivalent to the sum of the squares of the other two sides plus twice the product of one of these sides and the distance from the vertex of the obtuse angle to the foot of the perpendicular let fall upon this side... | |
 | Brookline (Mass.) - Brookline (Mass.) - 1881 - 674 pages
...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 two given straight lines. Proof of work.... | |
 | Franklin Ibach - Geometry - 1882 - 208 pages
...260. In any obtuse-angled triangle, the square on the side opposite the obtuse angle equals the sum of the squares of the other two sides plus twice the product of one of those sides and the projection of the other upon that side. In the A ABC, let c be the obtuse Z., and... | |
 | Henry Elmer Moseley - Universities and colleges - 1884 - 214 pages
...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 to the circumference of a circle include... | |
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... twice the product of one of these sides and the projection of the other side upon it. 
