 | War office - 1861 - 260 pages
...circumference upon the same base, that is upon the same part of the circumference. 8. 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. 9. ABC... | |
 | 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... | |
 | Euclides - 1861 - 464 pages
...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.... | |
 | Alexander Hadden Hutchinson - 1861 - 128 pages
...points of section is equal to the square of half the line. VOLUNTARY PORTION. 1. 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. 2. Tïnd... | |
 | 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 - 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... | |
 | 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... | |
 | 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... | |
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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. 
