 | Eucleides - 1860 - 396 pages
...unnecessarily prolix. PROPOSITION VIII. THEOREM. In a right-angled triangle (ABC), if a perpendicular (AD) be drawn from the right angle to the base; the triangles...side of it are similar to the whole triangle, and to one another. DEMONSTRATION. Because the angles BAC and ADB are equal, being both right angles, and... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...PROPOSITION VIII. THEOREM. • In a right-angled triangle, if a perpendicular be drawn from the rightanyle 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 the point A let... | |
 | John Playfair - Geometry - 1860 - 334 pages
...case. PROP. VIII. THEOR. In a ~ight angled triangle if a perpendicular be drawn from the right ingle tt the base; the triangles on each side of it are similar to the whole trianglt, and to one another. Let ABC be a right angled triangle, having the right angle BAC ; and... | |
 | War office - 1861 - 714 pages
...t?s. Sd. per cent, simple interest. 10. Extract the square root of 4904481024. Voluntary Portion. 1. In a right-angled triangle, if a perpendicular be...side of it are similar to the whole triangle and to one another. 2. Define a plane. If two planes which cut one another be each of them perpendicular to... | |
 | S. M. Saxby - Nautical astronomy - 1861 - 136 pages
...instance, the small 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...side of it are similar to the whole triangle and to one another (that is, triangle ADC, triangle BDC, and triangle ACB are similar). I!) the three angles... | |
 | 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...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. 1, VI. E. l 2 D.... | |
 | 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...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, 7, ... 3. Prove the... | |
 | 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...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 with A by a... | |
 | S. M. Saxby - Marine engines - 1862 - 200 pages
...instance, the 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...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). 30 ' Now, by 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 the point A let... | |
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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. 
