Article
23 sectionsContents
- Name
- Strict definition
- Equations
- Parametric
- Proof of the parametric representation
- Implicit
- Proof of the implicit representation
- Orientation
- Metric properties
- Construction
- Nephroid as envelope of a pencil of circles
- Proof
- Nephroid as envelope of a pencil of lines
- Proof
- Nephroid as caustic of one half of a circle {{anchor|Caustic}}
- Proof
- The evolute and involute of a nephroid
- Evolute
- Proof
- Involute
- Inversion of a nephroid
- References
- External links
thumb|Nephroid: definition
In geometry, a nephroid () is a specific plane curve. It is a type of epicycloid in which the smaller circle's radius differs from the larger one by a factor of one-half.