| A. M. LEGENDRE - 1852
...into equal parts at the points 7J K, L. PROPOSITION XXIII. THEOEEM. In a right-angled triangle, if **a perpendicular is drawn from the vertex of the right angle to the** hypothenuse. \st. The triangles on each side of the perpendicular are similar to the whole triangle,... | |
| Charles Davies, Adrien Marie Legendre - Geometry - 1854 - 432 pages
...into equal parts at the points I, K, L. PROPOSITION XXIII. THEOREM. In a right•angled triangle, if **a perpendicular is drawn from the vertex of the right angle to the** hypothenuse. 1st. The triangles on each side of the jxrpendicular are similar to the given triangle,... | |
| Adrien Marie Legendre - Geometry - 1857 - 448 pages
...into equal parts at the points I, K, L. PROPOSITION XXIII. THEOREM. In a right•angled triangle, if **a perpendicular is drawn from the vertex of the right angle to the** hypothenuse. 1st. The triangles on each side of the perpendicular are similat to the given triangle,... | |
| Charles Davies, William Guy Peck - Mathematics - 1857 - 592 pages
...(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... | |
| Benjamin Greenleaf - Geometry - 1862 - 490 pages
...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** hypothenuse, the triangle will be divided into two triangles similar to the given triangle atul to... | |
| 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... | |
| Benjamin Greenleaf - Geometry - 1866 - 320 pages
...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... | |
| Trinity College (Hartford, Conn.) - 1870
...parallel chords in a circle, is a point in the diameter which is perpendicular to the chords. O. 4. If **a perpendicular is drawn from the vertex of the right angle to the hypotenuse** of a right triangle, (1) the triangles thus formed are similar to each other and to the whole triangle,... | |
| William Chauvenet - Geometry - 1871 - 368 pages
...the ratio of similitude of the polygons (40). 10 APPLICATIONS. PROPOSITION XIII.— THEOREM. 44. If **a perpendicular is drawn from the vertex of the right angle to the hypotenuse** of a rigid triangle : 1st. The two triangles thus formed are similar to each other and to the whole... | |
| William Chauvenet - Geometry - 1872 - 368 pages
...the ratio of similitude of the polygons (40). 10 I APPLICATIONS. PROPOSITION XIII.— THEOREM. 44. If **a perpendicular is drawn from the vertex of the right angle to the hypotenuse** of a right triangle : 1st. The two triangles thus formed are similar to each other and to the whole... | |
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