In the Vinony graph
Within Vinony's link graph, nephroid is referenced by 13 other articles, and connects out to curve, radius of curvature and geometry.
It is catalogued under topics including Roulettes (curve) and Sextic curves.
Its subject is documented across 13 Wikipedia language editions.
Wikidata facts
- Subclass of
- algebraic curve
- Named after
- kidney
Show 2 more facts
- Commons category
- Nephroid
- maintained by WikiProject
- WikiProject Mathematics
Sources (1)
via Wikidata · CC0
~11 min read
Encyclopedic overview
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.
Excerpted from Wikipedia’s “nephroid” article, available under the CC BY-SA 4.0 licence.
Gallery (22)
Connections
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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