| Robert Simson - Trigonometry - 1806 - 546 pages
...5.1. F PROP. VIII. THEOR. See N 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 BAC ; and from the point A let AD be drawn... | |
| John Playfair - Mathematics - 1806 - 320 pages
...triangles, &c. QED PROP. VIII. THEOR. 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* Let ABC be a right angled triangje, having the right angle BAC, and from the point A let... | |
| John Mason Good - 1813 - 714 pages
...proportionals. Prop. VllI.Thcor. 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. Prop. IX. Prob. From a given strait line to cut off any part required. Prop. X. Prob. To divide a given... | |
| Euclides - 1816 - 588 pages
...I. PROP. VIII. THEOR. Se«N. IN a right 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. Let ABC be a right angled triangle, having the right angle BAC ; and from the point A let AD be drawn... | |
| John Playfair - Circle-squaring - 1819 - 350 pages
...first case. PROP. VIII. THEOR. 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 BAC ; and from the point A let AD be drawn... | |
| Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...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... | |
| Robert Simson - Trigonometry - 1827 - 546 pages
...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 on each side...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 - 1829 - 210 pages
...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... | |
| Euclid - 1835 - 540 pages
...triPROP. VIII. THEOR. See N. 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 BAG ; and from the point A let AD be drawn... | |
| Robert Simson - Trigonometry - 1835 - 544 pages
...triPROP. VIII. THKOR. Sec N. In a right angled triangle, if a perpendicular k drawn from the riyltt angle to the base, the triangles on each side of it are similar to the ichole triangle and to one another. Let ABC be a right angled triangle, having: the right angle BAC... | |
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