Analytic geometry and principles of algebra (1913)
Ziwet, Alexander, 1853-1928, Hopkins, Louis Allen, joint author, Hedrick, E. R. (Earle Raymond), 1876-1943 · New York, The Macmillan Company · leaf 117
formed by in-version with respect to the circle (0, a)into a circle passing through 0 andthrough the pole P of I; as this circlemust obviously be symmetric with respectto OP it must have OP as diameter. Aiiypoint Pi of / is transformed by inversion into that point Q of the circle of diameter OP at… … Fig. 40 VI, § 96] THE CIRCLE. QUADRATIC EQUATIONS 105 The pole Pi (^f any line h can therefore be constructed as the intersec-tion of the polars of any two points of ?i ; this is of advantage when theline /i does not meet the circle. And the polar li of any point Pi can beconstructed as the line…
Geometry, Analytic
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