An elementary treatise on modern pure geometry (1893)
Lachlan, Robert · London, New York, Macmillan and Co. · leaf 252
e considered as opposite extremitiesof a diameter of the line-circle AB, (that is the infinite circle whosefinite part is the straight line AB). If P be the inverse point ofP, P and P must be harmonically conjugate with the point A andthe point at infinity on the line AP. Hence PP is bisected inthe… … 236 EXAMPLES OF INVERSION. Let 0 be a point of intersection of two of the circles, then if the figure beinverted with respect to the point 0, we shall have a real circle centre 0, tworectangular diameters, and an imaginary concentric circle. Let P be any point, and let Pj, P^ be the inverse points…
Geometry
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