 | Euclides - Geometry - 1841 - 378 pages
...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 bases the triangles on each side of it are similar to the whole triangle, and to one another. Let ABC... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...ABC may fee 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...triangles on each side of it are similar to the whole triangle, and to one another. , Let ABC be aright angled triangle, having the right angle BAC ; and... | |
 | Euclides - 1842 - 316 pages
...to the triangle DEF. Wherefore, if the two triangles, &c. QED PROP. VIII. THEOR. IN a right-angled triangle, if a perpendicular be drawn from the right...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... | |
 | Church schools - 1844 - 456 pages
...the segments of the other : and demonstrate this also by the properties of similar triangles. 3. That in a right angled triangle if a perpendicular be drawn from the right angle to the hypothenuse, the two triangles on each side of the perpendicular are each similar to the original triangle.... | |
 | Euclid - Geometry - 1845 - 218 pages
...the triangle DEF. Wherefore, if two triangles, &c. QED PROPOSITION VIII. THEOR. — In a right-angled triangle, if a perpendicular be drawn from the right...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... | |
 | Euclides - 1845 - 546 pages
...the triangle DEF. Wherefore, if two triangles, &c. QED PROPOSITION VIII. THEOREM. In a right-angled triangle, if a perpendicular be drawn from the right...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;... | |
 | Alfred Wrigley - 1845 - 222 pages
...of the sides of a regular hexagon and a decagon inscribed in the same circle. 173. In a right-angled triangle, if a perpendicular be drawn from the right angle to the hypothenuse, then the areas of the two circles inscribed in the triangles on each side of this perpendicular... | |
 | Euclides, James Thomson - Geometry - 1845 - 382 pages
...that is, it is equal to it : wherefore, if two triangles, &c.f PROP. VIII. 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.... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...triangle ABC may be 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...triangles on each side of it are similar to the whole triangle, and to one another. Let ABC be aright angled triangle, having the right angle BAC ; and from... | |
 | Euclides - 1846 - 292 pages
...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 drawn from the right...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... | |
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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. 
