https://**en.wikipedia.org**/wiki/**Epicycloid**

The **epicycloid** is a special kind of epitrochoid. An epicycle with one cusp is a cardioid. An **epicycloid** and its evolute are similar. [1

mathworld.wolfram.com/**Epicycloid**.html

An **epicycloid** with one cusp is called a cardioid, one with two cusps is called a nephroid, and one with five cusps is called a ranunculoid. Epicycloids can also be ...

**dictionary.reference.com**/browse/**epicycloid**

The **epicycloid** shown is termed the “three-cusped **epicycloid**” or the “**epicycloid** of Cremona.”

https://**en.wikipedia.org**/wiki/**Cycloid**

A **cycloid** is the curve traced by a point on the rim of a circular wheel as the wheel rolls along a straight line without slippage. It is an example of a roulette, a ...

**www.merriam-webster.com**/dictionary/**epicycloid**

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**www.thefreedictionary.com**/**epicycloid**

**epicycloid** The parametric equations of an **epicycloid** are x = (a + b) cos θ - b cos (a + bb θ) y = (a + b) sin θ - b sin (a + bb θ). ep·i·cy·cloid (ĕp′ĭ-sī ...

msemac.redwoods.edu/.../CalcProj/sp05/astley/**Epicycloid**Report.htm

THE **EPICYCLOID**. BY. DENNIS ASTLEY & EMILY ASTLEY . The **epicycloid** is the special plane curve defined as the path traced by a point P on a circle that rolls around a ...

www.2dcurves.com/roulette/roulettee.html

The curve is formed by the locus of a point, attached to a circle, that rolls on 1) the outside of another circle 2). In the curve's equation the first part denotes ...

curvebank.calstatela.edu/**cycloid**maple/Oids/OidEG1.html

The shape of the **epicycloid** is totally determined by the single number N. The general parametric form of an **epicycloid** is : o RETURN to MAIN Go To TOP ...

colalg.math.csusb.edu/.../IT/main/m10_parametric/src/s04_**cycloid**.html

10.4 **Cycloid** In this section, ... **Epicycloid** An **epicycloid** is the curve generated by a fixed point on a circle as it rolls without slipping outside a circle.