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A curve traced by a point on the circumference of a circle rolling on the exterior of another circle.
‘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.’