Smart, Edward Howard · London : Macmillian and Co. · leaf 160
tercept in question, and QVQa double ordinate of the diameter cutting the asymptotesat q, q. 132 PROJECTIVE GEOMETRY By Newtons theorem, since the asymptote may be regardedas a tangent from either L or q, L-a)2 , .^ LP2 = ^Q.^Q = 5V2- QV2. LP2 ^Q.^Q qoo- = 1. But, by similar trianojles, ^ = —.i J… … Fig. 68. IV. It follows that if D be taken on the other side of C onthe conjugate diameter to CP, so that CD = CD, the tangentsat P and P together with parallels through D and D to CP,form a parallelogram of which the asymptotes are thediagonals. (Fig. 68.) CARNOTS THEOREM 133 The particular case…
Geometry, Projective
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