| Great Britain. Admiralty - Geometry - 1846 - 130 pages
...In a right angled triangle, if a perpendicular be drawn from the right angle to the opposite side, **the triangles on each side of the perpendicular are...similar to the whole triangle, and to each other.** Let ABC be a rt. angled ^\, having the rt. L BAC ; draw AD J_ BC; then ihe ^& ABD, ADC are similar... | |
| Great Britain. Admiralty - Geometry - 1846 - 130 pages
...r na right angled triangle, if a perpendicular be drawn from the right angle to the opposite side, **the triangles on each side of the perpendicular are...similar to the whole triangle, and to each other.** Let ABC be a rt. angled ^, having the rt. Z. BAC ; draw AD_L BC; then die ^s ABD, ADC are similar to... | |
| Elias Loomis - Conic sections - 1849 - 252 pages
...a right-angled triangle, if a perpendicular is drawn from the right angle to the hypothenuse ; 1st. **The triangles on each side of the perpendicular are similar to the whole triangle and to each other.** 3d. Each of the sides is a mean proportional between the hypothenuse and its segment adjacent to that... | |
| Adrien Marie Legendre - Geometry - 1852 - 436 pages
...divided also 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 - Geometry - 1854 - 436 pages
...div'ded also 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,... | |
| 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... | |
| Adrien Marie Legendre - Geometry - 1857 - 444 pages
...divided also 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,... | |
| Elias Loomis - Conic sections - 1858 - 256 pages
...right-angled triangle, if a perpendicular is drawn from the right angle to the hypothenus.; , 1st. **The triangles on each side of the perpendicular are similar to the whole triangle and to each other.** 3d. The perpendicular is a mean proportional between the segments of the hypothenuse. 3d. Each of the... | |
| Benjamin Greenleaf - Geometry - 1862 - 514 pages
...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** 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... | |
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