The pedal curve of circle involute
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(1)
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(2)
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with the center as the pedal point is the Archimedes' spiral
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(3)
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(4)
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Circle Involute Pedal Curve
See also
Circle, Circle Involute, Pedal CurveExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Circle Involute Pedal Curve." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/CircleInvolutePedalCurve.html