Trochoid

The curve described by a point at a distance from the center of a rolling Circle of Radius .

If , the curve is a Curtate Cycloid. If , the curve is a Cycloid. If , the curve is a Prolate Cycloid.

References

Lee, X. Trochoid.'' http://www.best.com/~xah/SpecialPlaneCurves_dir/Trochoid_dir/trochoid.html.

Wagon, S. Mathematica in Action. New York: W. H. Freeman, pp. 46-50, 1991.

Yates, R. C. Trochoids.'' A Handbook on Curves and Their Properties. Ann Arbor, MI: J. W. Edwards, pp. 233-236, 1952.