 | Alexander Hadden Hutchinson - 1861 - 128 σελίδες
...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 - 260 σελίδες
...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 - 464 σελίδες
...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 - 1861 - 140 σελίδες
...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 - 714 σελίδες
...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 - 1862 - 200 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 - 1855 - 350 σελίδες
...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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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. 
