Contrapedal Curve

The contrapedal curve, also called a normal pedal curve, is defined analogously to a usual pedal curve with "tangent" replaced by "normal." In particular, the contrapedal curve P of a curve C is the locus of bases of perpendiculars let down to normal lines of C.

The contrapedal curve is the pedal curve of the evolute of a given curve (Zwikker 1963, p. 151).

See also

Evolute, Pedal Curve

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Gray, A. Modern Differential Geometry of Curves and Surfaces with Mathematica, 2nd ed. Boca Raton, FL: CRC Press, 1997.Lawrence, J. D. A Catalog of Special Plane Curves. New York: Dover, p. 47, 1972.Zwikker, C. The Advanced Geometry of Plane Curves and Their Applications. New York: Dover, p. 151, 1963.

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Contrapedal Curve

Cite this as:

Weisstein, Eric W. "Contrapedal Curve." From MathWorld--A Wolfram Web Resource.

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