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The pedal of a curve with respect to a point $P$ is the locus of the foot of the Perpendicular from $P$ to the Tangent to the curve. When a Closed Curve rolls on a straight line, the Area between the line and Roulette after a complete revolution by any point on the curve is twice the Area of the pedal (taken with respect to the generating point) of the rolling curve.

© 1996-9 Eric W. Weisstein