In geometry, an epicycloid (also called hypercycloid) [1] is a plane curve produced by tracing the path of a chosen point on the circumference of a circle—called an epicycle—which rolls …

Epicycloid: An epicycloid is traced by a fixed point on a circle of radius r rolling around the outside of a circle of radius R. Use the slider to adjust the ratio R/r – this controls the shape of the curve.

Mar 5, 2025 · The path traced out by a point P on the edge of a circle of radius b rolling on the outside of a circle of radius a. An epicycloid is therefore an epitrochoid with h=b. Epicycloids …

Jun 7, 2024 · A curve in geometry known as an epicycloid is created by rolling a point on a circle's circumference around the exterior of another circle. Designing gears, examining planetary …

Dec 12, 2017 · When the point is not situated on the rolling circle, but lies in its exterior (or interior) region, then the curve is called an elongated (respectively, shortened) epicycloid or …

The meaning of EPICYCLOID is a curve traced by a point on a circle that rolls on the outside of a fixed circle.

Jan 9, 2019 · EPICYCLOID is a MATLAB library which computes, plots and tabulates an epicycloid curve. An epicycloid is the curve traced by a point on the perimeter of a circle of …

Epicycloid and hypocycloid both describe a family of curves. Epicycloid is a special case of epitrochoid, and hypocycloid is a special case of hypotrochoid. Specifically, epi/hypocycloid is …

Jun 27, 2014 · Curves of this type, with the moving circle smaller or larger than the fixed circle and R = S, are called epicycloids. Epicycloids are a special case of Epitrochoids which will be the …

This diagram will help us to derive the equation for the epicycloid. Let and be the radii of the inner and outer circles, respectively. First, suppose the circle at were not moving, but were centered …