Examples
Bean curve Bicuspid curve Bow curve Cruciform curve with parameters (b,a) being (1,1) in red; (2,2) in green; (3,3) in blue. Cruciform curve with parameters (b,a) being (1,1) in red; (2,1) in green; (3,1) in blue. Spiric section Three-leaved clover in cartesian coordinates Three-leaved clover in polar coordinatesVarious combinations of coefficients in the above equation give rise to various important families of curves as listed below.
| Bicorn curve | Klein quartic |
| Bullet-nose curve | Lemniscate of Bernoulli |
| Cartesian oval | Lemniscate of Gerono |
| Cassini oval | Lüroth quartic |
| Deltoid curve | Spiric section |
| Hippopede | Toric section |
| Kampyle of Eudoxus | Trott curve |
Read more about this topic: Quartic Plane Curve
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