An elementary treatise on modern pure geometry (1893)
Lachlan, Robert · London, New York, Macmillan and Co. · leaf 205
pairs of opposite vertices of atetragram, show that the circles described on AA, BE, CC have a commonradical axis, which passes through the centre of the circumcircle of thetriangle formed by the lines AA, BB, CC. Ex. 5. If four circles cut a fifth circle orthogonally, show that their sixradical… … Let A and B be the centres of the circles; OM their radicalaxis; and let G be the middle point oi AB. Let P be any point; and let PM, PN be the perpendicularsfrom P on OM and AB. Then the difference of the powers of P with respect to thecircles is equal to PB? - PQ\ that is, PB-PA^ + AJ> - BE,…
Geometry
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