 | Robert Simson - Trigonometry - 1762 - 488 pages
...triangle DEF. 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... | |
 | Robert Simson - Trigonometry - 1775 - 534 pages
...equiangular to the 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 - Euclid's Elements - 1795 - 462 pages
...ABC may be proved 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 - Trigonometry - 1799 - 374 pages
...Wherefore the 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... | |
 | John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...ABC may be proved, to be equiangular to the triangle DEF, as in the firft cafe. 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 limilar to the whole triangle, and to one another. Let... | |
 | Robert Simson - Trigonometry - 1804 - 530 pages
...triangle DEF, &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... | |
 | Robert Simson - Trigonometry - 1806 - 546 pages
...equiangular to the triangle DEF. Wherefore, if two triangles, &c. QED G D 5.1. F PROP. 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 Mason Good - 1813 - 714 pages
...equiangular, and 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.... | |
 | Peter Fleming - Surveying - 1815 - 250 pages
...triangle, the adjoining sides are cut proportionally by a line drawn parallel to the other side, 38 17. In a right angled triangle, if a perpendicular be drawn from the Tight angle to the base, the triangles on each side of it are similar to the whole triangle, and to... | |
 | Euclides - 1816 - 588 pages
...equiangular to the triangle 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... | |
| |
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. 
