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epicycloid

Line breaks: epi|cyc¦loid
Pronunciation: /ˌɛpɪˈsʌɪklɔɪd
 
/

Definition of epicycloid in English:

noun

Mathematics
A curve traced by a point on the circumference of a circle rolling on the exterior of another circle.
Example sentences
  • He also investigated caustic curves and in particular he studied these associated curves of the parabola, the logarithmic spiral and epicycloids around 1692.
  • The nephroid is the epicycloid formed by a circle of radius a rolling externally on a fixed circle of radius 2a.
  • These are the epicycloid, the epitrochoid, the hypocycloid and the hypotrochoid and they are traced by a point P on a circle of radius b which rolls round a fixed circle of radius a.

Derivatives

epicycloidal

1
Pronunciation: /-ˈklɔɪd(ə)l/
adjective

Definition of epicycloid in:

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