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Monge's Theorem


Draw three nonintersecting Circles in the plane, and the common tangent line for each pair of two. The points of intersection of the three pairs of tangent lines lie on a straight line.


Coxeter, H. S. M. ``The Problem of Apollonius.'' Amer. Math. Monthly 75, 5-15, 1968.

Graham, L. A. Problem 62 in Ingenious Mathematical Problems and Methods. New York: Dover, 1959. Ogilvy, C. S. Excursions in Geometry. New York: Dover, pp. 115-117, 1990.

Walker, W. ``Monge's Theorem in Many Dimensions.'' Math. Gaz. 60, 185-188, 1976.

© 1996-9 Eric W. Weisstein