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Plane Curves

Epitrochoid
{1,1/5,.1}
{1,1/5,.6}
{1,1/5,1.2}
{1,1/5,2.6}
{1,2/5,.1}
{1,2/5,.6}
{1,2/5,1.2}
{1,2/5,2.6}
{1,3/5,.1}
{1,3/5,.6}
{1,3/5,1.2}
{1,3/5,2.6}
{1,4/5,.1}
{1,4/5,.6}
{1,4/5,1.2}
{1,4/5,2.6}

Mathematica Notebook for This Page
epitrochoid_movies.nb.zip
epitrochoid_movies2.nb.zip

History
See: Epicycloid and Hypocycloid .

Description
Epitrochoid is a family of cycloidal curves, a special case of Roulette. See Epicycloid and Hypocycloid for detail. Many famous curves are special cases of epitrochoid. (See: Curve Family Index ).

{1,2/3,.4}
Formulas
See: Epicycloid and Hypocycloid .

Properties
Special Cases
h == 0, Circle.

b == h, epicycloids with q cusps, where q is the denominator of b written as a irreducible fraction.

Epitrochoid and Hypotrochoid Movie Gallery
Related Web Sites
See: Websites on Plane Curves , Printed References On Plane Curves .

Robert Yates: Curves and Their Properties .

The MacTutor History of Mathematics archive

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