 | Peter Fleming (Civil engineer) - Surveying - 1815 - 250 pages
...triangle, the adjoining sides are cut proportionally by a line drawn 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 are similar to the whole triangle, and to... | |
 | Euclides - 1816 - 592 pages
...equiangular to the triangle 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...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... | |
 | John Playfair - Circle-squaring - 1819 - 348 pages
...triangle ABC may be 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...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... | |
 | Euclid, Robert Simson - Geometry - 1821 - 514 pages
...ABC is equiangular to the triangle DEF. Wherefore, if two triangles, &c. QED PROP. VIII. THEOR. TN a right angled triangle, if a perpendicular be drawn...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 B AC; and... | |
 | Euclid - 1826 - 234 pages
...DEF. If, therefore, two triangles, 8tc. QED PROPOSITION VIII. THEOREM. If in a right angled triangle a perpendicular be drawn from the right angle to the base, the triangles made by 'the perpendicular are similar to the whole and to one another. Let ABC be a right angled triangle,... | |
 | John Playfair - Circle-squaring - 1826 - 326 pages
...triangle DEF, as in the first ease. . PROP. VIII. THEOR. In a right 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,... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...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 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... | |
 | Euclid, Robert Simson - Geometry - 1829 - 548 pages
...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 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... | |
 | John Playfair - Geometry - 1829 - 210 pages
...divide the triangle into two triangles which are similar to the whole triangle, and also to each other. In a right angled triangle if a perpendicular be drawn from the right angle to the hypothenuse, it will be a mean proportional between the segments of the hypothenuse ; and each of the... | |
 | Pierce Morton - Geometry - 1830 - 584 pages
...1.), and therefore similar (31. Cor. 1.). Therefore, SEC. ' PROP. 34. (Eue. vi. 8.) In a right-angled triangle, if a perpendicular be drawn from the right angle to the hypotenuse, the triangles upon either side of it shall be similar to the whole triangle, and to 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. 
