An elementary treatise on modern pure geometry (1893)
Lachlan, Robert · London, New York, Macmillan and Co. · leaf 201
d b their radii. ThenOA^-a^=OB^-bK But if .E be the middle point of AB, OA^-Om =20E.AB. Therefore iOE.AB=a^-h\ This determines the position ofthe point 0 uniquely, so that there is only one such point on the line AB. It should be noticed however, that the point at infinity on the line ABmay also be… … Let A and B be the centres of the circles; and let a, i be theirradii. Let any circle be drawn cutting each of the circles in realpoints; and let the common chords of this circle and the givencircles cut in the point P. Then evidently P is a point whosepowers with respect to the given circles are…
Geometry
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