| Isaac Todhunter - Euclid's Elements - 1880 - 400 pages
...to the triangle DEF. Wherefore, if two trianglet &c. QED PROPOSITION 8. 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 from... | |
| Bombay city, univ - 1880
...proportional between two given straight lines. 8. In a right-angled triangle, if a perpendicular be drawn 1.1 **from the right angle to the base, the triangles on each side** Three points A, B, U lie in a straight line and A 1' is drawn in any direction a mean proportional... | |
| John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882
...angles shall be equal to one another. 6. Define similar triangles : and show that 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. 7. Describe a circle that shall have a given radius and shall touch a... | |
| Education, Higher - 1882
...right angles by a line drawn from the centre to the point without the circle. 13. 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. 14. If three straight lines be proportionals, the rectangle contained... | |
| Joseph Hughes - Education - 1883
...sides about the equal angles of triangles which are triangular to one another are proportional. 11. **In a right angled triangle, if a perpendicular be...base, the triangles on each side of it are similar to** one another. If the segments of the base are in the ratio of 4 : I, find the ratio of the squares on... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 426 pages
...Therefore the triangle ABC is equiangular to the triangle DEF. PROPOSITION 8. 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 BAG; and from... | |
| Education - 1883
...sides about the equal angles of triangles which are equiangular to one another are proportional. 11. **In a right angled triangle, if a perpendicular be...angle to the base, the triangles on each side of it** •ire similar to one another. If the segments of the base are in the ratio of 4 : I, find the ratio... | |
| Euclides, James Hamblin Smith - 1883
...PROPOSITION XII. THEOREM. (Eucl. vr. 8.) In a- right-angled triangle, if a perpendicular be draicn **from the right angle to the base, the triangles on each side of it** an similar to the whole triangle and to one another. Let ABC be a right-angled A , having L BAC a rt.... | |
| Euclides - 1884 - 434 pages
....L BC. If BC : CA = AB : AD, then A ABC is right-angled. PROPOSITION 8. THEOREM. 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.... | |
| Education - 1885
...= rect. PQ, RQ (cons.). Therefore rect. PQ, PR = rect. PQ, RQ + rect. PR, RQ. 12. 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. State and prove the corollary. Let ABC be a right-angled triangle with... | |
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