An elementary treatise on modern pure geometry (1893)
Lachlan, Robert · London, New York, Macmillan and Co. · leaf 203
maginary. 305. The radical axes of any three circles taken two at a timeare concurrent. Let two of the radical axes meet in the point P Thenevidently the powers of the point P with respect to the circles areequal. Therefore P is a point on the third radical axis. The point of concurrence of the… … Draw any circle cutting the given circles in real points, and letthe radical axes, that is the common chords, of these circles inter-sect in the point P. Then P is a point on the radical axis of thegiven circles. Similarly, by drawing another circle we can find another pointQ on the radical axis.…
Geometry
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