Circles, ellipses, parabolas, and hyperbolas are called conic
sections because they can be obtained as a intersection of a plane
with a double- napped circular cone.
If the plane passes through vertex of the double-napped cone,
then the intersection is a point, a pair of straight lines or a
single line. These are called degenerate conic sections.
Because they are sections of a cone or a cone shaped object.