Cassinian Oval Cassinian Ovals Mathematica Notebook for This Page . Description Cassinian oval describe a family of curves. It is analogous to the definition of ellipse , where sum of two distances is replace by product. Let the distance between the foci be 2 a.
Cassinian ovals are the intersection of a torus and a plane in certain position.
Let b-a be the inner radius of a torus whose generating circle has radius a. Cassinian oval is the intersection of a plane parallel to the torus' axis and a distant from it. Note that these tori in the figure are not identical. Arbitrary slice of a torus are not Cassinian ovals. Related Web Sites see Generic Reference Page .