Special cases include the hypocycloid with d = r and the ellipse with R = 2r. The classic Spirograph toy traces out hypotrochoid and epitrochoid curves. ...
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http://en.wikipedia.org/wiki/Hypotrochoid
• (n.) A curve, traced by a point in the radius, or radius produced, of a circle which rolls upon the concave side of a fixed circle. See Hypocycloid, Epicycloid, and Trochoid.
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http://thinkexist.com/dictionary/meaning/hypotrochoid/
A curve formed by the path of a point attached to a point c, which is not on the circumference, of circle of radius b that rolls around the inside of a larger circle of radius a. The parametric equations for a hypotrochoid can be written as: x = (a - b) cos t + c cos(a/b -1)t, y = (a - b) sin t - c ...
Found on
http://www.daviddarling.info/encyclopedia/H/hypotrochoid.html
Hy`po·tro'choid noun [ Prefix
hypo- +
trochoid .]
(Geom.) A curve, traced by a point in the radius, or radius produced, of a circle which rolls upon the concave side of a fixed circle. See
Hypocycloid ,
Epicycloid , and
Trochoid .
Found on
http://www.encyclo.co.uk/webster/H/84
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