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In geometry, a nephroid (from Ancient Greek νεφρός (nephrós) 'kidney') 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.
Metric properties, Strict definition & The evolute and involute of a nephroid
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displaystyle circle one varphi sin cos radius representation point curve parametric see diagram gets equation evolute envelope half cusps hence
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Nephroid | is a | epicycloid.Nephroid as envelope of a pencil of circlesLet be c 0 | 0.90 | text |
| Nephroid | is a | envelope of the chords of the circle.Nephroid as caustic of one half of a circleThe considerations made in the previous section give a proof for the fact | 0.90 | text |
| Nephroid | is a | envelope of the chords of the circle | 0.90 | text |
| Nephroid | related to Construction | It | 0.60 | section |
| Nephroid | related to Construction | Hence | 0.60 | section |
| Nephroid | related to External links | Mathworld | 0.60 | section |
| Nephroid | related to Inversion of a nephroid | The | 0.60 | section |
| Nephroid | related to Involute | Because | 0.60 | section |
| Nephroid | related to Involute | The | 0.60 | section |
| Nephroid | related to Metric properties | For | 0.60 | section |
| Nephroid | related to Name | Although | 0.60 | section |
| Nephroid | related to Name | Richard | 0.60 | section |
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