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 …

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May 22, 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 epicycloid is the envelope of a diameter of a circle with radius twice that of (C), rolling without slipping on (C0) externally.

In this video, we derive the parametric equations describing an epicycloid - a shape similar to a regular cycloid, but instead of rolling a circle along a pl...

When a circle is rolling externally upon a fixed circle we have epicycloid. When the rolling is internal, we have hypocycloid. The external and internal rolling can be distinguished as …

There are four related classic curves which are generated by one circle rolling about the outside or inside of stationary second circle. The best known of these is the EPICYCLOID. It is …

Epicycloid refers to the trajectory drawn by a vertex on a small circle when a small circle is rolled outside a large circle. The radius of a large circle is denoted by R, the radius of a small circle is …