 | Euclides - Geometry - 1841 - 378 pages
...VIII. THEOR. In a right-angled triangle, if a perpendicular be drawn from the right angle to the bases 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 let AD be drawn perpendicular... | |
 | Euclides - 1842 - 316 pages
...ABC is equiangular to the triangle DEF. Wherefore, if the two triangles, &c. QED PROP. VIII. THEOR. IN a right-angled triangle, if a perpendicular be...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 let AD be drawn perpendicular... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...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...similar to the whole triangle, and to one another. , Let ABC be aright angled triangle, having the right angle BAC ; and from the point A let AD be drawn perpendicular... | |
 | John Playfair - Euclid's Elements - 1844 - 338 pages
...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...similar to the whole triangle, and to one another. Because the angle BAC is equal to the angle ADB, each of them being a right angle, and the angle at... | |
 | Euclid - Geometry - 1845 - 218 pages
...equiangular to the triangle DEF. Wherefore, if two triangles, &c. QED PROPOSITION VIII. THEOR. — In a right-angled triangle, if a perpendicular be...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, let AD be drawn... | |
 | Euclides - 1845 - 546 pages
...triangle ABC is equiangular to the triangle DEF. Wherefore, if two triangles, &c. QED PROPOSITION VIII. THEOREM. In a right-angled triangle, if a perpendicular...the triangles on each side of it are similar to the itholt triangle, and to one another. Let ABC be a right-angled triangle, having the right angle BAG;... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...THEOR.— In a right-angled triangle, if a perpendicular be drawn from the right angle to the hypotenuse, 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 let AD be drawn perpendicular... | |
 | Euclides - 1846 - 292 pages
...DEF, and the angle at C to the angle at F. Wherefore, If two triangles %c. UK o. PROP. VIII. THEOR. In a right-angled triangle, if a perpendicular be...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, let AD be drawn... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...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...similar to the whole triangle, and to one another. Let ABC be aright angled triangle, having the right angle BAC ; and from the point A let AD be drawn perpendicular... | |
 | Dennis M'Curdy - Geometry - 1846 - 166 pages
...p. 23, 1; (4) p. 4. 6 ; (c) p. 9, 5 ; (d)p.5, 1; (e)p. 13, 1; (/)p. 17, 1. 8 Th. In a right angled triangle, if a perpendicular be drawn from the right...triangles on each side of it are similar to the whole and to each other. Given the triangle ABC, right angled at C : the perpendicular CD divides ABC into... | |
| |
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. 
