An elementary treatise on modern pure geometry (1893)
Lachlan, Robert · London, New York, Macmillan and Co. · leaf 213
o givencircles in the same sense, at the points P, Q and P\ Q respectively,show that PQ^:PQ=AO.BO : AO. BO,where A and B are the centres of the given circles. Ex. 16. A circle whose centre is 0 touches two given circles, whosecentres are A and B, at P and Q, and FG is the common tangent of thegiven… … CENTRES OF TWO CIRCLES. 197 Let A, B, G be the centres of the given circles; and let theirradii be denoted by a, b, c. Let X, Y, Z be the homothetic centresand X, Y, Z the anti-homothetic centres of the three pairs ofcircles. Then since BX:CX = b:c, CY:AY=c:a,AZ-.BZ = a:h; therefore CXAY-^=^-…
Geometry
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