 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...XII. THEOREM. (Eucl. vi. 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. B a Let ABC be a right.angled A , having L BAC a rt. i , and from A let AD be drawn x to BC. Then must... | |
 | James Smith - Circle-squaring - 1872 - 330 pages
...perpendicular (FE) be drawn from the right angle to the opposite side, the triangles, PEG and FEB, on each side of it, are similar to the whole triangle, and to each other. But, in the triangle GFB, GF = | (GB), and when GB = 8 = 6-4; and GB is divided into two... | |
 | William Alexander Myers - Circle-squaring - 1873 - 238 pages
...found. PROPOSITION 5. THEOREM. In a right-angled triangle, if a perpendicular lie drawn from the right angle to the base, the triangles on each side of it are similar to the whole triangle and to each other. See Plate 1 Fig. 1. Let DAC be a right-angled triangle, having the right angle ADC, and... | |
 | Euclides - 1874 - 342 pages
...QED PROPOSITION 8.— Theorem. 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. Let ABC be a right-angled triangle, having the right angle BA C, and from the point A, let AD be drawn... | |
 | William Alexander Myers - Circle-squaring - 1874 - 207 pages
...found. PROPOSITION 5. THEOREM. 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 each other. See Plate 7 Fig. 1. Let DAG be a right-angled triangle, having the right angle ADC, and... | |
 | Education Department,London - 1876 - 1010 pages
...the other three segments. 3. 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. Write down some of the proportions that can be established between the sides of these triangles and... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...triangle have to one another. 4. 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. 5. If four straight lines be proportionals, the similar rectilineal figures similarly described upon... | |
 | Euclid - 1876 - 240 pages
...PROPOSITION VIIL THEOREM. In a right-angled triangle (ABC), i/ a perpendicular (AD) be dratcn from the right angle to the base ; the triangles on each side of...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... | |
 | Richard Wormell - 1876 - 268 pages
.... . . . . . . . . . . 215 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. .. .. .. .. -.215 T1. To find a third proportional to two given straight lines. .. .. .. 217 13. To... | |
 | Civil service - 1878 - 228 pages
...altitude of the triangle. 6. 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. Prove that the segments of the base are to one another in the duplicate ratio of the sides which contain... | |
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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. 
