An elementary treatise on modern pure geometry (1893)
Lachlan, Robert · London, New York, Macmillan and Co. · leaf 184
nd P;the connectors CD, AB in Q and Q; the connectors AD, BG in Rand R; and the circle in S and S. Then the range {PF, QQ, RR, SS\ will be in involution.Let AG and BD intersect in E. Then since the angles PAR,RBP are equal, ^ sin RPA = ^ sin BPR. Therefore AR FR PERPBR EP = 1. AN INSCRIBED… … ^—Q Therefore SR. RS: SR.RS = RP. RP: PR.PR. Hence, by § 76, the range [SS, PP, RR} is in involution. Similarly it may be proved that the range {SS, QQ, RR} is ininvolution. Consequently the range {SS, PP, QQ, RR} is in involution. 274. Ex. 1. If E, F, G be the centres of any tetrastigm inscribed…
Geometry
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