~11 min read
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.
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curve
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radius of curvature
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geometry
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area
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International Standard Book Number
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Ancient Greek
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complex number
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trigonometric function
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unit circle
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complex plane
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list of trigonometric identities
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cardioid
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epicycloid
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MathWorld
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arc length
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parametric equation
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involute
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degree of a polynomial
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evolute
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Eric W. Weisstein
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