An elementary treatise on modern pure geometry (1893)
Lachlan, Robert · London, New York, Macmillan and Co. · leaf 237
vnW be collinear. Let Ebe the point of intersection of BD and AG. Then we have OA.OG = OE-AE^ OD- J)A\ Hence A and G are inverse points with respect to a circle whosecentre is 0. Consequently if the point A be made to describe anycurve the point G will describe the inverse curve. This arrangement… … Let P be any point on the straight line A B, and let P be theinverse point with respect to a circle whose centre is 0. Let OA be the perpendicular from 0 on the straight line, andlet A be the inverse point of A. Then we have OP. OP= OA . OA. Therefore the points A, P, A, P are concyclic ; and…
Geometry
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