Definition

A specific type of curve created by a point on the edge of a circle as it rolls around the outside of another fixed circle.

Example

The mathematician demonstrated how to draw an epicycloid using a simple compass and pencil.

Conversation

Have you ever heard of an epicycloid?

No, I haven’t! What is it?

It's a curve created when a circle rolls around another circle.

That sounds interesting! I love learning about different shapes.

Synonyms & Antonyms

Root Explanation

Epicycloid → It is formed from "epi-" (meaning upon or over) and "kyklos" (meaning circle). An epicycloid is a curve traced by a point on the circumference of a circle that rolls around the outside of another circle.

Memory Tip

Think of a circle rolling 'upon' another circle — 'epi-' means upon, and 'kyklos' means circle, which helps you remember that an epicycloid is a shape created by this rolling motion.

Visually Confused Words