 | John Playfair - 1819 - 354 páginas
...proved to be equiangular to the triangle DEF, as in the first case. PROP. VIII. THEOR. In a right angled triangle, if a perpendicular be drawn, from the right angle to the base; the triangles on each side of it are similar to the whole triangle, and to one another. ' . Let ABC be a right angled triangle, having... | |
 | Euclid - 1826 - 234 páginas
...DEF. If, therefore, two triangles, 8tc. QED PROPOSITION VIII. THEOREM. If in a right angled triangle a perpendicular be drawn from the right angle to the base, the triangles made by 'the perpendicular are similar to the whole and to one another. Let ABC be a right angled triangle,... | |
 | Euclid, John Playfair - 1826 - 326 páginas
...triangle DEF, as in the first ease. . PROP. VIII. THEOR. In a right angled triangle if a perpendieular be drawn from the right angle to the base ; the triangles on eaeh side of it are similar to the whole triangle, and to one another. Let ABC be a right angled triangle,... | |
 | Robert Simson - 1827 - 546 páginas
...triangles, &o. QED PROP. VIII. THEOK. In a right angled triangle, if a perpendicular be drawn See N, from the right angle to the base .• the triangles on each side of it are similar to the whole triangle, and to one another. Let ABC be a right angled triangle, having... | |
 | Euclid, Robert Simson - 1829 - 548 páginas
...two triangles, &c. QED F PROP. VIII. THEOR. IN a right angled triangle, if a perpendicular be drawu from the right angle to the base, the triangles on each side of it are similar to the whole triangle, and to one another.* Let ABC be a right angled triangle, having... | |
 | John Playfair - 1829 - 210 páginas
...case 2, DE is homologous to AB, DF to AC, and EF to BC. PROPOSITION VIII. THEOREM. In a right angled triangle, if a perpendicular be drawn from the right angle to the hypothenuse, the two triangles on each side of it are similar to the whole triangle and to each other.... | |
 | Pierce Morton - 1830 - 584 páginas
...equiangular (1. 19. Cor. 1.), and therefore similar (31. Cor. 1.). Therefore, SEC. ' PROP. 34. (Eue. vi. 8.) In a right-angled triangle, if a perpendicular be drawn from the right angle to the hypotenuse, the triangles upon either side of it shall be similar to the whole triangle, and to one... | |
 | Euclid - 1835 - 540 páginas
...triangle DEF. " at'yles," &c. QED Wherefore, " if two triPROP. VIII. THEOR. See N. In a right angled triangle, if a perpendicular be drawn from the right angle to the base, the triangles on each side of it are similar to the whole triangle and to one another. Let ABC be a right angled triangle, having... | |
 | 1835 - 684 páginas
...equiangular (I. 19. Cor. 1.), and therefore similar (31. Cor. 1.). Therefore, &c. PROP. 34. (Eue. vi. 8.) In a right-angled triangle, if a perpendicular be drawn from the right angle to the hypotenuse, the triangles upon either side of it shall be similar to the whole triangle, and to one... | |
 | John Playfair - 1836 - 148 páginas
...equiangular to the triangle DEF. Wherefore, if two triangles, &c. QED \ PROP. VIII. THEOR. In a right angled triangle, if a perpendicular be drawn from the right angle to the base, the triangles on each side of it are similar to the whole triangle, and to one another. i Let ABC be a right angled triangle, having... | |
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IN a right-angled triangle, if a perpendicular be drawn from the right angle to the base, the triangles on each side of it are similar to the whole triangle, and to one another. 
