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.

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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