| Euclides - 1861 - 464 pages
...similarity, the sides about the equal angles are proportional. PBOP. 8. — THEOR. -(Important.) In a rt. 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. DEM.... | |
| War office - 1861 - 714 pages
...isosceles triangle having each of the angles at the base double the third angle. 2. 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. 3. An... | |
| S. M. Saxby - Nautical astronomy - 1861 - 140 pages
...angle B 30° is opposite to the smaller side AC, &c. 22. Euc. VI. Prop. VIII. — 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 (that is,... | |
| S. M. Saxby - Marine engines - 1862 - 200 pages
...small angle B 30° is opposite to the smaller side AC, &c. * 26. Euc. VI. Prop. VIII. 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 (that is,... | |
| Euclides - 1865 - 402 pages
...equiangular to the triangle QED Wherefore, if two triangles, &c. PROP. Vni.— THEOREM. In a right-angled triangle, if a perpendicular be drawn from the right angle to the base ; then the triangles on each side of it are similar to the whole triangle, and to one another.... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...to the triangle DEF. Wherefore, if two triangles &c. QED PROPOSITION 8. THEOREM. 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... | |
| Euclid - 1868 - 138 pages
...ßáaiv кàQfтоç á^0jr тà irpbç тy кaQíтф Tpiofidá laTÍ Tif тf o\if Kai In a right-angled triangle, if a perpendicular be drawn from the right angle to the base, the triangles on each side of the perpendicular are similar to the whole and to Statement. —... | |
| Ontario Chief Superintendent of Education - Education - 1869 - 450 pages
...line. 11. Inscribe an equiangular and equilateral pentagon in a given circle. 12. 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 each other. No. 15.... | |
| James Smith - 1869 - 490 pages
...whole triangle AC D. Now, by Euclid: Prop 8 : Book 6 : it is made to appear that: In a right-angled triangle, if a perpendicular be drawn from the right angle to the opposite side, the triangles on each side of it are similar to the whole triangle and to each other,... | |
| James Smith - Circle-squaring - 1869 - 459 pages
...circle X, and, (OH2 — H T2) = area of a regular inscribed dodecagon to the circle X. In a right-angled triangle, if a perpendicular be drawn from the right angle to the opposite side, the triangles on each side of it, are similar to the whole triangle and to each other.... | |
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