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Kampyle of Eudoxus


A curve studied by Eudoxus in relation to the classical problem of Cube Duplication. It is given by the polar equation


and the parametric equations

x&=&a\sec t\\
y&=&a\tan t\sec t

with $t\in [-\pi/2,\pi/2]$.


Lawrence, J. D. A Catalog of Special Plane Curves. New York: Dover, pp. 141-143, 1972.

MacTutor History of Mathematics Archive. ``Kampyle of Eudoxus.''

© 1996-9 Eric W. Weisstein