 | Thomas Stantial - Examinations - 1859 - 352 pages
...of their homologous sides. C. In a right-angled triangle, if a perpendicular be drawn from the right angle to the base, the triangles on each side of it...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... | |
 | Euclides - 1860 - 288 pages
...triangle DEF, as in the first case. In a right-angled triangle, if a perpendicular be drawn from the right angle to the base, the triangles on each side of it...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
...PROPOSITION VIII. THEOREM. In a right-angled triangle (ABC), if a perpendicular (AD) be drawn from the right angle to the base; the triangles on each side of it...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... | |
 | 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
...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...similar to the whole triangle, and to one another. 3. An open box measures 8 inches internally in length, breadth, and depth, and it is made of wood £... | |
 | Alexander Hadden Hutchinson - 1861 - 128 pages
...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...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 formules sin... | |
 | War office - 1861 - 260 pages
...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...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 straight line... | |
 | S. M. Saxby - Nautical astronomy - 1861 - 140 pages
...22. 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, triangle ADC, triangle BDC, and triangle ACB are similar). Now, by similar triangles we mean... | |
 | Euclides - 1861 - 464 pages
...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...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. l 2 3 4 5 Hyp.... | |
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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. 
