 | Pierce Morton - Geometry - 1830 - 584 pages
...therefore similar (31. Cor. 1.). Therefore, SEC. ' PROP. 34. (Eue. vi. 8.) In a right-angled triangle, if a perpendicular be drawn from the right angle to the hypotenuse, the triangles upon either side of it shall be similar to the whole triangle, and to one another. Let А... | |
 | Mathematics - 1835 - 684 pages
...therefore similar (31. Cor. 1.). Therefore, &c. PROP. 34. (Eue. vi. 8.) In a right-angled triangle, if a perpendicular be drawn from the right angle to the hypotenuse, the triangles upon either side of it shall be similar to the whole triangle, and to one another. Let AU... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...enunciation is also altered, with a view to render it more simple and plain. 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... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...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. Let ABC be a right-angled... | |
 | Great Britain. Committee on Education - 1850 - 942 pages
...any quadrilateral is less than the sum of the four sides* 11. In any right-angled isosceles triangle, if a perpendicular be drawn from the right angle to the hypotenuse, it will divide the triangle into two triangles, which are 3c2 equal to one another, and which are alto... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...triangle, and the sum of the radii equal to the suto of the sides which contain the right angle. 77. If a perpendicular be drawn from the right angle to the hypotenuse of a right-angled triangle, and circles be inscribed within the two smaller triangles into which the... | |
 | Euclides - 1864 - 448 pages
...triangle, and the sum of the radii equal to the sum of the sides which contain the right angle. 77. If a perpendicular be drawn from the right angle to the hypotenuse of a right-angled triangle, and circles be inscribed within the two smaller triangles into which the... | |
 | Robert Potts - 1865 - 528 pages
...triangle, and the sum of the radii equal to the sum of the sides which contain the right angle. 175. If a perpendicular be drawn from the right angle to the hypotenuse of a right-angled triangle, and circles be inscribed within the two smaller triangles into which the... | |
 | Robert Potts - 1868 - 434 pages
...triangle, and the sum of the radii equal to the sum of the sides which contain the right angle. 77. If a perpendicular be drawn from the right angle to the hypotenuse of a right-angled triangle, and circles be inscribed within the two smaller triangles into which the... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...triangle, and the sum of the radii equal to the sum of the sides which contain the right angle. 77. If a perpendicular be drawn from the right angle to the hypotenuse of a right-angled triangle, and circles' be inscribed within the two smaller triangles into which the... | |
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If a perpendicular be drawn from the right angle to the hypotenuse of a right-angled triangle, and circles... 
