| Euclid - 1835 - 540 pages
...equiangular to the triangle DEF. " at'yles," &c. QED Wherefore, " if two triPROP. VIII. THEOR. See 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 BAG ; and from... | |
| Robert Simson - Trigonometry - 1835 - 513 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... | |
| Mathematics - 1835
...1.), and therefore similar (31. Cor. 1.). Therefore, &c. 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... | |
| John Playfair - Geometry - 1836 - 114 pages
...triangle ABC is equiangular to the triangle DEF. Wherefore, if two triangles, &c. QED \ 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. i Let ABC be a right angled triangle, having the right angle BAG ; and... | |
| Mathematics - 1836 - 472 pages
...triangles, shall be equiangular, and have those angles, equal about which the sides are proportionals. VIII. **In 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. Сок. From this it is manifest, that the perpendicular drawn, from... | |
| Andrew Bell - Euclid's Elements - 1837 - 240 pages
...equiangular to the triangle DEF, aa in the first case. PROPOSITION VIII. THEOREM. In a right-angled **triangle, if a perpendicular be drawn from the right...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 - Geometry - 1837 - 410 pages
...the enunciation is also altered, with a view to render it more simple and plain. IN a right-angled **triangle, if a perpendicular be drawn from the right angle to the** hypotenuse, the triangles on each side of it are similar to the whole triangle, and to one another.... | |
| Euclides - 1838 - 264 pages
...equiangular to the triangle DEF, as in the first case. Wherefore if two triangles, &c. QED 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 B AC ; and... | |
| Robert Simson - Geometry - 1838 - 434 pages
...ABC is equiangular to the triangle DEF. Wherefore, if two triangles, &c. QED PROP. VIII. THEOR, lie **a right angled triangle, if a perpendicular be drawn...angle to the base, the triangles on each side of it** *re similar to the whole triangle, and to one another.* ' See Note. Let ABC be a right angled triangle,... | |
| Euclides - 1840 - 82 pages
...have those angles equal about which the sides are proportional. PROP. VIII. THEOR. In a right-angled **triangle if a perpendicular be drawn from the right angle to the** opposite side, the triangles on each side of it, are similar to the whole triangle and to each other.... | |
| |