An elementary treatise on modern pure geometry (1893)
Lachlan, Robert · London, New York, Macmillan and Co. · leaf 228
the side of the radical axis opposite tothe centre of the circle ABGD. Thus of the three circles whichtouch the pairs of connectors, two of the centres will lie on thesame side of the radical axis as the centre of the circle ABGD. 335. Let us consider the case when the connectors AG, BD ofthe… … pair of connectors AB, CD in Q, Q and q, q respectively, and theconnectors AD, BC in R. R and r, r respectively. Then it is easy to show that AR:AL = DR:DL = BR : BL = CR: CL, and AQ:AL = Dq:DL = BQ:BL = GQ:CL. Hence it follows, as in § 334, that AD and BC will touch acircle of the system in the…
Geometry
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