 | 1898 - 454 σελίδες
...Napoleon Bonaparte briefly. GEOMETRY. 1. A perpendicular lot fall from a right-angled triangle upon the hypotenuse is a mean proportional between the segments of the hypotenuse; and either side of the original triangle is a mean proportional between the whole hypotenuse and the adjacent... | |
 | 356 σελίδες
...angles at the point R. If AR = 6cm., 72.5=3 cm., calculate the length of the chord. 3. The perpendicular from the right angle of a right-angled triangle to the hypotenuse is of length 2". If the hypotenuse = 4-1", find the segments of the hypotenuse and the sides of the triangle.... | |
 | 1973 - 204 σελίδες
...C, D, the other in E, F. Prove that C, DE, F are oonoyclic. THEOREM 7 (iii). If a perpendicular is drawn from the right angle of a right-angled triangle to the hypotenuse, the triangles on each side of the perpendicular are similar to the whole triangle and to one another.... | |
 | 480 σελίδες
...equal to the rectangle contained by the segments of the chord . 122 THEOREM 60. If a perpendicular is drawn from the right angle of a right-angled triangle to the hypotenuse, the triangles on each side of the perpendicular are similar to the whole triangle and to one another... | |
 | G. P. West - 1965 - 362 σελίδες
...-^^-, ..., each = ft. R'S'S'T /. R'ST'W'X', RSTWX are similar. QED THEOREM 58. If a perpendicular is drawn from the right angle of a right-angled triangle to the hypotenuse, the triangles on each side of the perpendicular are similar to the whole triangle and to one another.... | |
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From this it is manifest, that the perpendicular drawn from the right angle of a right-angled triangle to the base, is a mean proportional between the segments of the base; and also that each of the sides is a mean proportional between the base, and... 
