Topics from Pursuit Curves

Topics - Current List How to catch up a boat.--Apollonius circle Dogs at corners of a polygon chasing each other's tail--Equiangular Spiral The Problem of the Three Dogs--Brocard point The case of the pursued running on a straight line The case of the pursued running on a fixed circle The case of the pursuer starting from a point on a given ellipse The generalized case of Linear pursuit References for Further Studies

References Wells, David: The Penguin Dictionary of Curious and Interesting GEOMETRY. London,England: Penguin Books, p.67 & 201, 1991.(Out of print) Yates,Robert C. : A Handbook on Curves and their Properties. J.W.Edwards,Ann Arbor, p 170 & 206, 1947. Lockwood,E.R. : A Book of Curves. Cambridge Univ.,London, p.99, first published in 1961. Ogilvy,C.S. : Excursions in Geometry. Dover, p. 13,1990. Originally published by Oxford in 1969. Ogilvy,C.S. : Excursions in Mathematics. Dover, p. 83 & 148,1994. Originally published by Oxford in 1956. Steinhaus,H.: Mathematical Snapshots. Dover, p. 111, 1999. Originally published by Oxford in 1983. Go to   Fun_Math Content Table All comments/suggestions should be sent to Takaya Iwamoto Last Updated Oct 9-th, 2006 Copyright 2006 Takaya Iwamoto   All rights reserved.