 | Timothy Walker - Geometry - 1829 - 138 pages
...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 - 578 pages
...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 - Plane trigonometry - 1835 - 110 pages
...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 - Arithmetic - 1838 - 292 pages
...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.) - Arithmetic - 1839 - 362 pages
...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 - Arithmetic - 1841 - 356 pages
...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 - Arithmetic - 1844 - 358 pages
...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 - Plane trigonometry - 1845 - 498 pages
...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 - Plane trigonometry - 1845 - 498 pages
...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 - Arithmetic - 1847 - 368 pages
...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... | |
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The area or contents of a triangle is equal to half the product of its base by its altitude (Bk. 
