Definition:Nephroid
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Definition
A nephroid is an epicycloid with $2$ cusps.
Also see
- Results about nephroids can be found here.
Linguistic Note
The term nephroid derives from a word meaning kidney-shaped.
The term had been used for various other curves until Richard Anthony Proctor applied it to this specific curve in $1878$.
Sources
- 1992: George F. Simmons: Calculus Gems ... (previous) ... (next): Chapter $\text {B}.21$: The Cycloid: Problem $14$
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): epicycloid
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): nephroid