 | Nicholas Tillinghast - 1844 - 110 σελίδες
...and hence similar. 72 PERPENDICULAR ON HYPOTENUSE. [BOOK V. PROP. XVIII. THEOREM. The perpendicular from the vertex of the right angle to the hypotenuse of a right-angled triangle, divides it into two triangles similar to each other, and similar to the whole... | |
 | Adrien Marie Legendre - 1852 - 436 σελίδες
...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 - 1854 - 436 σελίδες
...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 - 1857 - 608 σελίδες
...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, Charles Davies - 1857 - 442 σελίδες
...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,... | |
 | Benjamin Greenleaf - 1862 - 532 σελίδες
...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 - 1865 - 592 σελίδες
...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 - 1866 - 328 σελίδες
...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 - 1008 σελίδες
...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, (2) the perpendicular... | |
 | William Chauvenet - 1871 - 380 σελίδες
...in 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 right triangle : 1st. The two triangles thus formed are similar to each other and to the whole triangle; 2d. The perpendicular... | |
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If a perpendicular is drawn from the vertex of the right angle to the hypotenuse of a right triangle : 1st. 
