| Peter Fleming - Surveying - 1815 - 242 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 - 528 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 - Euclid's Elements - 1819 - 333 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 - 236 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 - 320 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 - 513 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 - 516 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 - 186 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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