Definition:Hypotrochoid/Prolate
< Definition:Hypotrochoid(Redirected from Definition:Extended Hypocycloid)
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Definition
Let a circle $C_1$ of radius $b$ roll around the inside of another (larger) circle $C_2$ of radius $a$.
Consider a point $P$ on the line of a radius of $C_1$ at a distance $d$ from the center of $C_1$.
Let $d > b$.
The curve traced out by $P$ is called a prolate hypotrochoid.
Graph
Also known as
A prolate hypotrochoid is also known as an extended hypocycloid.
Also see
Sources
- 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): hypocycloid