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Inverse Points

Points which are transformed into each other through Inversion about a given Inversion Circle. The point $P'$ which is the inverse point of a given point $P$ with respect to an Inversion Circle $C$ may be constructed geometrically using a Compass only (Courant and Robbins 1996).

See also Geometric Construction, Inversion, Polar, Pole (Geometry)


Courant, R. and Robbins, H. ``Geometrical Construction of Inverse Points.'' §3.4.3 in What is Mathematics?: An Elementary Approach to Ideas and Methods, 2nd ed. Oxford, England: Oxford University Press, pp. 144-145, 1996.

© 1996-9 Eric W. Weisstein