 | Isaac Todhunter - 1880 - 426 σελίδες
...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 - 754 σελίδες
...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... | |
 | 1882 - 498 σελίδες
...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... | |
 | John Robertson (LL.D., of Upton Park sch.) - 1882 - 152 σελίδες
...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... | |
 | Joseph Hughes - 1883 - 568 σελίδες
...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 - 1883 - 428 σελίδες
...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... | |
 | 1883 - 654 σελίδες
...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 - 376 σελίδες
...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 σελίδες
....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.... | |
 | 1885 - 630 σελίδες
...= 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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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. 
