 | Robert Simson - 1762 - 488 sider
...Wherefore if two triangles, &c. Q^ED PROP, Book VI. \^r«j PROP. VIII. THE OR. 8ee N. TN a right angled triangle, if a perpendicular be drawn from the right angle to the bafe; the triangles ->n each fide of it are firnilar to the whole triangle, ar.d to one another. Let... | |
 | Thomas Malton - 1774 - 484 sider
...EB : BD. Hence is deduced the 36th, a moft ufcful Problem. THEOREM VII. 8 Euclid. In a right angled Triangle, if a Perpendicular be drawn, from the Right Angle to the Hypothenufe, it will divide that Triangle into two Triangles, which are fimilar to each other; and... | |
 | Robert Simson - 1775 - 534 sider
...triangle DEF. Wherefore, if two triangles, &c. PROP Book vI. PROP. VIII. THEO R. See N. TN a right angled triangle, if a perpendicular be drawn from the right angle to the bafe ; the triangles on each fide of it are fimilar to the whole triangle, and to one another. Let... | |
 | Euclid, John Playfair - 1795 - 462 sider
...to be equiangular to the triangle DEF, as in the firft cafe. PROP. VIII. THEO R. !N a right angled triangle, if a perpendicular be drawn from the right angle to the bafe; the triangles on each fide of it are fimilar to the whole triangle, and to one another. Let ABC... | |
 | Alexander Ingram - 1799 - 374 sider
...triangle ABC is equiangular to the triangle DEF. Therefore, &c. Q^ED PROP. VIII. THEOR. IN a right angled triangle, if a perpendicular be drawn from the right angle to the bafe ; the triangles on each fide of it are fimilar to the whole triangle, and to one another. Let... | |
 | Robert Simson - 1804 - 530 sider
...&c. QED . \Vhercfcre if two triangles, Book VI. V— v-"' PROP. VIII. THEOR. See N. TN a right angled triangle, if a perpendicular be drawn ,•. from the right angle to the bale ; the triangles on each fide of it are fimjlar to the whole triangle, and to one another. Let... | |
 | John Mason Good - 1813 - 714 sider
...have those angles equal about which the sities are proportionals. Prop. VllI.Thcor. 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. Prop.... | |
 | Euclides - 1816 - 588 sider
...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 - 354 sider
...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... | |
 | John Playfair - 1829 - 210 sider
...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.... | |
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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. 
