An elementary treatise on modern pure geometry (1893)
Lachlan, Robert · London, New York, Macmillan and Co. · leaf 212
ill betwo of the centres of the tetrastigm formed by the points of contact. Ex. 8. The line joining the centres of two circles meets one of the circlesin the point A, and the other in the point B; and P is any point on theradical axis of the circles. If PA, PB cut the circles in Q and R, show… … Let a circle be drawn touching two given circles in the points P and §.Then, if 0 be its centre, and A and B the centres of the given circles, itis evident that AP, BQ are equally incUned to PQ. Therefore, if P^ cutthe given circles in Q and F, AQ and B^ are parallel. Therefore PQ mustpass through…
Geometry
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