 | 1836 - 488 páginas
...equiangular, and have those angles, equal about which the sides are proportionals. VIII. 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. Сок. From this it is manifest, that the... | |
 | Andrew Bell - 1837 - 290 páginas
...may be proved to be equiangular to the triangle DEF, aa in the first case. PROPOSITION VIII. THEOREM. In a right-angled triangle, if a perpendicular be...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... | |
 | Euclid, James Thomson - 1837 - 410 páginas
...The expression of 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.... | |
 | Robert Simson - 1838 - 434 páginas
...equiangular to the triangle DEF. Wherefore, if two triangles, &c. QED PROP. VIII. THEOR, lie a right angled triangle, if a perpendicular be drawn from the right 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 - 1838 - 264 páginas
...DEF, as in the first case. Wherefore if two 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 one another. Let ABC be a right angled triangle, having... | |
 | Euclides - 1840 - 82 páginas
...equiangular, and shall 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.... | |
 | Euclides - 1841 - 378 páginas
...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 drawn from the right angle to the bases the triangles on each side of it are similar to the whole triangle, and to one another. Let ABC... | |
 | Euclides - 1842 - 316 páginas
...ABC is equiangular to the triangle DEF. Wherefore, if the two triangles, &c. QED PROP. VIII. THEOR. IN a right-angled triangle, if a perpendicular be...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... | |
 | John Playfair - 1842 - 332 páginas
...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...angle to the base ; the triangles on each side of it are similar to the whole triangle, and to one another. , Let ABC be aright angled triangle, having... | |
 | 1844 - 456 páginas
...other : and demonstrate this also by the properties of similar triangles. 3. That in a right angled triangle if a perpendicular be drawn from the right angle to the hypothenuse, the two triangles on each side of the perpendicular are each similar to the original triangle.... | |
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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. 
