| Adrien Marie Legendre - Geometry - 1852 - 436 pages
...parallel DE would be divided also into equal parts at the points 7J K, L. PROPOSITION XXIII. THEOEEM. **In a right-angled triangle, if a perpendicular is...the vertex of the right angle to the hypothenuse.** \st. The triangles on each side of the perpendicular are similar to the whole triangle, and to each... | |
| Charles Davies - Geometry - 1854 - 436 pages
...parallel DE would be div'ded also into equal parts at the points I, K, L. PROPOSITION XXIII. THEOREM. **In a right•angled triangle, if a perpendicular is...the vertex of the right angle to the hypothenuse.** 1st. The triangles on each side of the jxrpendicular are similar to the given triangle, and to each... | |
| Adrien Marie Legendre, Charles Davies - Geometry - 1857 - 444 pages
...parallel DE would be divided also into equal parts at the points I, K, L. PROPOSITION XXIII. THEOREM. **In a right•angled triangle, if a perpendicular is...the vertex of the right angle to the hypothenuse.** 1st. The triangles on each side of the perpendicular are similat to the given triangle, and to each... | |
| Charles Davies, William Guy Peck - Mathematics - 1857 - 608 pages
...be drawn to (he vertices of the triangle ; then AN x BL X CM = AM X CL x BN. 14. In a right angled **triangle, if a perpendicular is drawn from the vertex of the right angle to the hypothenuse,** 1st. The triangles formed are similar to each other and to the whole triangle. 2d. Either side about... | |
| Benjamin Greenleaf - Geometry - 1862 - 514 pages
...would also be divided into equal parts at the points I, K, L. PROPOSITION XXVII. — THEOREM. 269. **In a right-angled triangle, if a perpendicular is...divided into two triangles similar to the given triangle** atul to each other. In the right-angled triangle А В С, А from the vertex of the right angle В... | |
| Benjamin Greenleaf - Geometry - 1862 - 520 pages
...A~B2 : : BC : B D. In like manner, we have, BTP : AC2 : : BC : C D. 240. Cor. 3. If a perpendicular be **drawn from the vertex of the right angle to the hypothenuse, the** squares of the sides about the right angle will be to each other as the adjacent segments of the hypothenuse.... | |
| Benjamin Greenleaf - Geometry - 1861 - 628 pages
...ABa : : BC : B D. In like manner, we have, FC2 : ACa : : BC : C D. 240. Cor. 3. If a perpendicular be **drawn from the vertex of the right angle to the hypothenuse, the** squares of the sides about the right angle will be to each other as the adjacent segments of the hypothenuse.... | |
| Benjamin Greenleaf - Geometry - 1863 - 320 pages
...: : BC : B D. In like manner, we have, B~C3 : A~C2 : : BC : C D. 240. Cor. 3. If a perpendicular be **drawn from the vertex of the right angle to the hypothenuse, the** squares of the sides about the right angle will be to each other as the adjacent segments of the hypothenuse.... | |
| Charles Davies, William Guy Peck - Mathematics - 1865 - 592 pages
...vertices of the triangle ; the» AN x HI, x CM = AM x CL x BN. 14.' In a right angled triangle, if л **perpendicular is drawn from the vertex of the right angle to the hypothenuse** 1st. The triangles formed are similar to each other and to the whole triangle. 2d. Either side about... | |
| Benjamin Greenleaf - Geometry - 1866 - 328 pages
...would also be divided into equal parts at the points I, K, L. PROPOSITION XXVII. — THEOREM. 269. **In a right-angled triangle, if a perpendicular is drawn from the vertex of the right angle to the** hypothe«tt.se, the triangle will be divided into two triangles similar to the given triangle and to... | |
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