Elliptic cone
An elliptical cone is a cone with an elliptical base.
It is a generalization of the circular cone and a special case of the generalized cone.
The term might refer to the solid figure bounded by the base or only to the lateral conic surface, a quadric called conical quadric or quadratic cone.
In a three-dimensional Cartesian coordinate system, an elliptic cone is the locus of an equation of the form:
It is an affine image of the unit right circular cone with equation From the fact that the affine image of a conic section is a conic section of the same type, any plane section of an elliptic cone is a conic section.
The intersection curve of an elliptic cone with a concentric sphere is a spherical conic.