| Alexander Hadden Hutchinson - Military art and science - 1861 - 100 pages
...the line between the 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...triangles on each side of it are similar to the whole** triangle, and to one another. 2. Tïnd the sum of n terms of the arithmetical progression 1, 3, 5,... | |
| War office - 1861
...angle at the circumference upon the same base, that is upon the same part of the circumference. 8. **In a right angled triangle, if a perpendicular be...triangles on each side of it are similar to the whole** triangle, and to one another. 9. ABC is a given triangle and D a given point within it, which is joined... | |
| Euclides - 1861
...similarity, the sides about the equal angles are proportional. PBOP. 8. — THEOR. -(Important.) In a rt. **angled triangle, if a perpendicular be drawn from...triangles on each side of it are similar to the -whole** triangle and to one another. DEM. Ax. 11,1. All rt. /.s are equal to one another. 32,1. 4, VI. Def.... | |
| 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...triangles on each side of it are similar to the whole** triangle and to one another (that is, triangle ADC, triangle BDC, and triangle ACB are similar). Now,... | |
| War office - 1861 - 12 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...triangles on each side of it are similar to the whole** triangle, and to one another. 3. An open box measures 8 inches internally in length, breadth, and depth,... | |
| 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...triangles on each side of it are similar to the whole** triangle and to one another (that is, triangle ADC, triangle BI) C, and triangle ACB are similar).... | |
| Euclides - 1864 - 448 pages
...PROPOSITION VIII. THEOREM. In a right-angled triangle, if a perpendicular be drawn from the rightangle **to the base ; 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... | |
| Robert Potts - 1865 - 528 pages
...PROPOSITION VIII. THEOREM. ln a right-angled triangle, if a perpendicular be drawn from the right a»gh: **to the base ; the triangles on each side of it are similar to the whole** triangle, and to one another. Let ABC\>& a right-angled triangle, having the right angle BAC; and from... | |
| 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. (References... | |
| John Playfair - Geometry - 1855 - 350 pages
...PROP. VIII. THEOR. In a "tght angled triangle if a perpendicular be drawn from the nght angle tithe **base ; the triangles on each side of it are similar to the whole** trianglt, end to one another. Let ABC be a right angled triangle, having the right angle BAG ; and... | |
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