Conic Section

A shape described by the intersection between a double napped cone, and a Plane.

Shape	Eccentricity	Plane Intersection	Degenerate Form
Circle	$e=0$	Parallel to Cone Base	Point
Ellipse	$e\in (0,1)$	Slope < Cone Side	Point
Parabola	$e=1$	Slope $\parallel$ Cone Side	Line
Hyperbola	$e\in (1,\infty )$	Slope > Cone Side	X