Legendre, A. M. (Adrien Marie), 1752-1833, Brewster, David, Sir, 1781-1868, Davies, Charles, 1798-1876 · New York, Wiley & Long · leaf 88
; and since IK is parallel to FG,w^e have in like manner AI : ÀF : :IK : FG ; hence, the ratio AI : AF being common, we shallhave DI : BF : : IK : FG. In the same manner we shallfind IK : FG : : KL : GH ; and so with the other segments :hence the line D£ is divided at the points I, K, L, in the… … PROPOSITION XXIII. THEOREM. If from the right angle of a right angled triangle, a peipendini-lar be let fall on the hypothenuse ; then, 1st. The two partial triangles thus formed, will be similar to eachoilier^ and to the whole triangle. 2d, Either side including the right angle will be a mean…
Trigonometry · Geometry
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