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词汇 epicycloid
释义

Definition of epicycloid in English:

epicycloid

noun ˌɛpɪˈsʌɪklɔɪdˌɛpəˈsaɪklɔɪd
Mathematics
  • A curve traced by a point on the circumference of a circle rolling on the exterior of another circle.

    〔数〕圆外旋轮线,外摆线

    Example sentencesExamples
    • 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.
    • Galileo defended the ‘epicycloids’ of Copernicus, even though Kepler already had presented a much better theory.
    • 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

  • adjective ˌɛpɪsʌɪˈklɔɪd(ə)lˌɛpəˌsaɪˈklɔɪdl
    Mathematics

Definition of epicycloid in US English:

epicycloid

nounˌepəˈsīkloidˌɛpəˈsaɪklɔɪd
Mathematics
  • A curve traced by a point on the circumference of a circle rolling on the exterior of another circle.

    〔数〕圆外旋轮线,外摆线

    Example sentencesExamples
    • The nephroid is the epicycloid formed by a circle of radius a rolling externally on a fixed circle of radius 2a.
    • Galileo defended the ‘epicycloids’ of Copernicus, even though Kepler already had presented a much better theory.
    • He also investigated caustic curves and in particular he studied these associated curves of the parabola, the logarithmic spiral and epicycloids around 1692.
    • 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.
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