 | Robert Simson - 1806 - 546 σελίδες
...triangle DEF. Wherefore, if two triangles, &c. QED G D 5.1. F PROP. VIII. THEOR. See N IN a right angled triangle, if a perpendicular be drawn from the right...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 - 1806 - 320 σελίδες
...DEF, as in the first case. Therefore, if two triangles, &c. QED PROP. VIII. THEOR. IN a right angled triangle, if a perpendicular be drawn from the right...side of it are similar to the whole triangle, and to each other* Let ABC be a right angled triangje, having the right angle BAC, and from the point A let... | |
 | John Mason Good - 1813 - 714 σελίδες
...have those angles equal about which the sities are proportionals. Prop. VllI.Thcor. In a right angled triangle, if a perpendicular be drawn from the right...similar to the whole triangle, and to one another. Prop. IX. Prob. From a given strait line to cut off any part required. Prop. X. Prob. To divide a given... | |
 | Peter Fleming - 1815 - 250 σελίδες
...parallel to the other side, 38 17. In a right angled triangle, if a perpendicular be drawn from the Tight angle to the base, the triangles on each side of it...similar to the whole triangle, and to one another, - 39 18. If two chords intersect each other within a circle or without il by being produced, the rectangle... | |
 | Euclides - 1816 - 588 σελίδες
...DEF. Wherefore, if the two triangles, &c. Q . ED 5. I. PROP. VIII. THEOR. Se«N. IN a right angled triangle, if a perpendicular be drawn from the right...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 - 1819 - 354 σελίδες
...proved to be equiangular to the triangle DEF, as in the first case. PROP. VIII. THEOR. In a right angled triangle, if a perpendicular be drawn, from the right...to the whole triangle, and to one another. ' . Let ABC be a right angled triangle, having the right angle BAG : and from the point A let AD be drawn perpendicular... | |
 | Euclid, John Playfair - 1826 - 326 σελίδες
...angled triangle if a perpendieular be drawn from the right angle to the base ; the triangles on eaeh side of it are similar to the whole triangle, and to one another. Let ABC be a right angled triangle, having the right angle BAG ; and from the point A let AD be drawn perpendieular... | |
 | Robert Simson - 1827 - 546 σελίδες
...triangles, &o. QED PROP. VIII. THEOK. In a right angled triangle, if a perpendicular be drawn See N, from the right angle to the base .• the triangles...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... | |
 | Euclid, Robert Simson - 1829 - 548 σελίδες
...two triangles, &c. QED F PROP. VIII. THEOR. IN a right angled triangle, if a perpendicular be drawu from the right angle to the base, the triangles on...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 - 1829 - 210 σελίδες
...right angled triangle, if a perpendicular be drawn from the right angle to the hypothenuse, the two triangles on each side of it are similar to the whole triangle and to each other. 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. 
