epicycloid's Usage Examples:

In geometry, an epicycloid or hypercycloid is a plane curve produced by tracing the path of a chosen point on the circumference of a circle—called an epicycle—which.

Special cases include the limaçon with R = r and the epicycloid with d = r.

The gear tooth profile is based on the epicycloid and hypocycloid curves, which are the curves generated by a circle rolling.

the fact that SU(k) fits inside SU(k+1) as a subgroup to prove that an epicycloid with k cusps moves snugly inside one with k+1 cusps.

The special cases of the epicycloid and hypocycloid, generated by tracing the locus of a point on the perimeter.

It can also be defined as an epicycloid having a single cusp.

A point on the pitch circle of the planet gear traces an epicycloid curve.

Cardioid (epicycloid with one cusp) Nephroid (epicycloid with two cusps) Deltoid (hypocycloid with three cusps).

Hence, a nephroid is an epicycloid.

geometry of curves, a roulette is a kind of curve, generalizing cycloids, epicycloids, hypocycloids, trochoids, epitrochoids, hypotrochoids, and involutes.

The red curve is an epicycloid and the blue curve is a hypocycloid.

Synonyms:

line roulette; cardioid; roulette;

Antonyms:

straight line;