|
The Roulette traced by a point P attached to a Circle of radius b rolling around the inside of a fixed
Circle of radius a. The parametric equations for a hypotrochoid are
x | = | (1) | |
y | = | (2) |
a | = | (3) | |
b | = | (4) |
See also Epitrochoid, Hypocycloid, Spirograph
References
Lawrence, J. D. A Catalog of Special Plane Curves. New York: Dover, pp. 165-168, 1972.
Lee, X. ``Hypotrochoid.''
http://www.best.com/~xah/SpecialPlaneCurves_dir/Hypotrochoid_dir/hypotrochoid.html
Lee, X. ``Epitrochoid and Hypotrochoid Movie Gallery.''
http://www.best.com/~xah/SpecialPlaneCurves_dir/EpiHypoTMovieGallery_dir/epiHypoTMovieGallery.html
MacTutor History of Mathematics Archive. ``Hypotrochoid.''
http://www-groups.dcs.st-and.ac.uk/~history/Curves/Hypotrochoid.html.