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  1. Epicycloid - Wikipedia

    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 …

  2. Epicycloid - Desmos

    Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.

  3. Epicycloid -- from Wolfram MathWorld

    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 …

  4. Epicycloid - GeeksforGeeks

    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 …

  5. Epicycloid - Encyclopedia of Mathematics

    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 …

  6. EPICYCLOID - MATHCURVE.COM

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

  7. Deriving the Equations of an Epicycloid - YouTube

    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...

  8. Epicycloid and Hypocycloid - XahLee.info

    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 …

  9. 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 …

  10. Epicycloid - Javalab

    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 …