| Timothy Walker - 1829 - Страниц: 138
...D=ABEF, and the area of ABCD==AB xB E, this being the measure of ABEF (100). 102. — The area of any triangle is equal to half the product of its base by its altitude — . By the altitude of a triangle we mean a perpendicular let fall from one of the vertices... | |
| 1834 - Страниц: 578
...being very small, differs insensibly from the straight line joining the points s, t ; and the area of a triangle is equal to half the product of its base, and the perpendicular from its vertex. Again, the angle t E s, being very small, the perpendicular... | |
| Benjamin Peirce - 1835 - Страниц: 110
...known. Solution. Let ABC (fig. 2.) be the triangle to be measured, and G the given side. The area of the triangle is equal to half the product of its base by its altitude, or Area of AB C = £ bp. But, by (203), sin. b : sin. B : : c : b, vrhence (391) sin. Fig.... | |
| Charles Davies - 1838 - Страниц: 292
...The side BA or the side AC, opposite the right angle, is called the hypothenuse.' The area or content of a triangle is equal to half the product of its base by its altitude. EXAMPLES. 1. The base of a triangle is 40 yards and the perpendicular 20 yards : what is... | |
| George Leonard (Jr.) - 1839 - Страниц: 362
...portions of the circumference so small that they may be considered straight lines. The surface of each triangle is equal to half the product of its base by its altitude, the altitude being the radius ; the surface of all these triangles, then, or the surface... | |
| George Leonard - 1841 - Страниц: 356
...portions of the circumference so small that they may be considered straight lines. The surface of each triangle is equal to half the product of its base by its altitude, the altitude being the radius ; the surface of all these triangles, then, or The surface... | |
| Charles Davies - 1844 - Страниц: 358
...The side BA or the side AC, opposite the right angle, is called the hypothenuse. The area or content of a triangle is equal to half the product of its base by its altitude. EXAMPLES. 1. The base of a triangle is 40 yards and the perpen dicular 20 yards : what is... | |
| Benjamin Peirce - 1845 - Страниц: 498
...known. Solution. Let ABC (fig. 2) be the triangle to be measured, and с the given side. The area of the triangle is equal to half the product of its base by its altitude, or area of ABC = i bp. (273) But, by (130), sin. С : sin. В : : с : Ь, whence . с sin.... | |
| Benjamin Peirce - 1845 - Страниц: 498
...known. Solution. Let ABC (fig. 2) be the triangle to be measured, and c the given side. The area of the triangle is equal to half the product of its base by its altitude, or area of ABC = £bp. (273) But, by (130), sin. C : sin. B : : c : b, whence _ c sin. B... | |
| Charles Davies - 1847 - Страниц: 368
...The side BC, or the side AC, opposite the right angle, is called the hypothenuse. The area or content of a triangle is equal to half the product of its base by its altitude. EXAMPLES. 1. The base, AB, of a triangle is 40 yards, and the perpendicular, CD, 20 yards... | |
| |