 | Euclides - 1816 - 588 páginas
...DEF. Wherefore, if the two triangles, &c. Q . ED 5. I. PROP. VIII. THEOR. Se«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... | |
 | John Playfair - 1819 - 350 páginas
...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 the right angle BAC ; and from the point A... | |
 | 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... | |
 | Euclides - 1821 - 294 páginas
...is right, but it is also acute, which is absurd. PROP. VIII. THEOR. If in a right angled triangle, a perpendicular be drawn from the right angle to the opposite side, it divides the triangle into parts similar to the whole, and to one another. For each of the parts... | |
 | Robert Simson - 1827 - 546 páginas
...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 the right angle BAC ; and from the point A... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
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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. 
