epicycloid
ep·i·cy·cloidGeom. the curve traced by a point on the circumference of an epicycle that rolls around the outside of a fixed circle
Origin of epicycloid
epicycl(e) + -oidepicycloid
noun
The curve described by a point on the circumference of a circle as the circle rolls on the outside of the circumference of a second, fixed circle.
Related Forms:
- ep′i·cy·cloid′al
adjective
epicycloid
The parametric equations of an epicycloid are
x = ( a + b ) cos &thgr; - b cos (^{ a + b }_{ b }
&thgr;)
y = ( a + b ) sin &thgr; - b sin (^{ a + b }_{ b }
&thgr;).