epicycloid

American  

[ep-uh-sahy-kloid] / ˌɛp əˈsaɪ klɔɪd /

noun

Geometry.

1. 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 ].

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epicycloid British  

/ ˌɛpɪˈsaɪklɔɪd /

noun

1. 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

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epicycloid Scientific  

/ ĕp′ĭ-sī′kloid′ /

1. 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.

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Other Word Forms

• epicycloidal
  adjective

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Etymology

Origin of epicycloid

First recorded in 1780–90; epicycle + -oid

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Example Sentences

See Examples For:

epicycloid

The Study and Construction of Toothed Gear.—Involute, cycloid, and epicycloid.

From Scientific American, Volume 40, No. 13, March 29, 1879 A Weekly Journal of Practical Information, Art, Science, Mechanics, Chemistry, and Manufactures by Various

An epicycloid may be traced or generated, as it is termed, by a point in the circumference of a circle that rolls without slip upon the circumference of another circle.

From Modern Machine-Shop Practice, Volumes I and II by Joshua Rose

The curve so generated or described by the point d will be a spherical epicycloid.

From Modern Machine-Shop Practice, Volumes I and II by Joshua Rose

In epicycloidal teeth the curve forming the face of the tooth is designated an epicycloid, and that forming the flank an hypocycloid.

From Modern Machine-Shop Practice, Volumes I and II by Joshua Rose

External epicycloid, described by a circle rolling about a fixed circle inside of it.

From Scientific American, Volume 40, No. 13, March 29, 1879 A Weekly Journal of Practical Information, Art, Science, Mechanics, Chemistry, and Manufactures by Various

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