Cartesian oval [SEP] named after
Cartesian oval
In geometry, a Cartesian oval, named after René Descartes, is a plane curve, the set of points that have the same linear combination of distances from two fixed points.
Definition.
Let and be fixed points in the plane, and let and denote the Euclidean distances from these points to a third variable point . Let and be arbitrary real numbers. Then the Cartesian oval is the locus of points "S" satisfying . The two ovals formed by the four equations and are closely related;
- Reuleaux triangle
- Salinon
- Semicircle
- Tomahawk
- Trefoil
- Triquetra
- Heart
Curved Not composed of circular arcs.
- Archimedean spiral
- Astroid
- Cardioid
- Deltoid
- Ellipse
- Heartagon
- Various lemniscates
- Oval
- Cartesian oval
- Cassini oval
- Oval of Booth
- Ovoid – similar to an oval...
- Superellipse
- Taijitu
- Tomoe
- Magatama
See also.
- List of triangle topics
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