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Negative Pedal Curve

Given a curve $C$ and $O$ a fixed point called the Pedal Point, then for a point $P$ on $C$, draw a Line Perpendicular to $OP$. The Envelope of these Lines as $P$ describes the curve $C$ is the negative pedal of $C$.

See also Pedal Curve


Lawrence, J. D. A Catalog of Special Plane Curves. New York: Dover, pp. 46-49, 1972.

Lockwood, E. H. ``Negative Pedals.'' Ch. 19 in A Book of Curves. Cambridge, England: Cambridge University Press, pp. 156-159, 1967.

© 1996-9 Eric W. Weisstein