epicycloid's

epicycloid

[ep-uh-sahy-kloid]
noun Geometry.
a curve generated by the motion of a point on the circumference of a circle that rolls externally, without slipping, on a fixed circle. Equation: x = (a + b ) cos(θ) − b cos[(a + b )θ/ b ] and y = (a + b ) sin(θ) − b sin[(a + b )θ/ b ].
Compare epitrochoid.


Origin:
1780–90; epicycle + -oid

epicycloidal, adjective
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World English Dictionary
epicycloid (ˌɛpɪˈsaɪklɔɪd)
 
n
hypocycloid Compare cycloid the curve described by a point on the circumference of a circle as this circle rolls around the outside of another fixed circle, the two circles being coplanar
 
epicy'cloidal
 
adj

Collins English Dictionary - Complete & Unabridged 10th Edition
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American Heritage
Science Dictionary
epicycloid   (ěp'ĭ-sī'kloid')  Pronunciation Key 
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.
The American Heritage® Science Dictionary
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