 | John Playfair - Geometry - 1855 - 334 pages
...PROP. VIII. THEOR. 0 In a right angled triangle if a perpendicular be drawn from the right angle tc the base; the triangles on each side of it are similar to the whole triangle, and to one another. Because the angle BAC is equal to the angle ADB, each of them being a right angle, and the angle at... | |
 | John Playfair - Euclid's Elements - 1856 - 346 pages
...PROP. VIII. THEOR. In. a rigid angled triangle if a perpendicular be drawn from the right angle tc the base ; the triangles on each side of it are similar to t/ie whale triangle, and to one another. Let ABC be a right angled triangle, having the right angle... | |
 | 1857 - 408 pages
...right-angled triangle if a perpendicular be drawn Irum the r*ght angle to the base, the triangles on each^side of it are similar to the whole triangle and to one another. 2. Similar triangles are to one another in the duplicate ratio of their homologous sides. 3. The rectangle... | |
 | Thomas Stantial - Examinations - 1859 - 352 pages
...angle." B. Similar triangles are one to another in the duplicate ratio of their homologous sides. C. In a right-angled triangle, if a perpendicular be...similar to the whole triangle and to one another. 6. EXERCISES IN GEOMETRY. I. 1. Trisect a given finite straight line. 2. Bisect a triangle by a line... | |
 | Sandhurst roy. military coll - 1859 - 672 pages
...without the circle, shall be equal to the square of the line which touches it. 2. In a right angled triangle if a perpendicular be drawn from the right...similar to the whole triangle, and to one another. 3. Find the sum of n terms of the arithmetical progression 1, 3, 5, 7, ... 4. Prove the formulae sin... | |
 | Euclides - 1860 - 288 pages
...therefore the triangle ABC may be proved to be equiangular to the triangle DEF, as in the first case. In a right-angled triangle, if a perpendicular be...similar to the whole triangle, and to one another. Given ABC a right-angled triangle, having the right angle. BAC ; and from the point A let AD be drawn... | |
 | 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...similar to the whole triangle, and to one another. DEMONSTRATION. Because the angles BAC and ADB are equal, being both right angles, and that the angle... | |
 | 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 AD be drawn perpendicular... | |
 | 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... | |
 | 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...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 in the one... | |
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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. 
