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epicycloid

   Also found in: Encyclopedia, Wikipedia, Hutchinson 0.01 sec.
ep·i·cy·cloid  (p-skloid)
n.
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.

epi·cy·cloidal (-kloidl) adj.
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epicycloid
The parametric equations of a three-cusped epicycloid are:
x=(a + b) cos - b cos a + b/b
y = (a + b) sin - b sin a + b/b

epicycloid [ˌɛpɪˈsaɪklɔɪd]
n
(Mathematics) 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 Compare hypocycloid, cycloid [4]
epicycloidal  adj

epicycloid  (p-skloid)
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.
ThesaurusLegend:  Synonyms Related Words Antonyms
Noun1.epicycloidepicycloid - a line generated by a point on a circle rolling around another circle
line roulette, roulette - a line generated by a point on one figure rolling around a second figure
cardioid - an epicycloid in which the rolling circle equals the fixed circle


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