An elementary treatise on modern pure geometry (1893)
Lachlan, Robert · London, New York, Macmillan and Co. · leaf 209
the same sense. It follows that there will be aninfinite number of positions for the centre of similitude. Let us suppose that we have given a pair of correspondingpoints on the two circles. 192 CIRCLE OF SIMILITUDE. To find the centre of similitude we must proceed as in § 205.Thus let P and F be… … Let S be the centre of similitude, then it follows from § 214,that 80 : SC = SF:SF = CP: GF. Hence the locus of the centre of similitude of two circles is acircle which has a common radical axis with the point-circles C andC (§ 319, Ex. 3). This circle is called the circle of similitude of the…
Geometry
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