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A conic section is the curve obtained by the intersection of a plane and a cone (a conic surface). These are: * circle - cutting perpendicular to the axis of symmetry of the cone * ellipse - cutting at an angle less than the slope angle. * parabola - cutting at an angle equal to the slope angle * hyperbola - cutting at an angle greater than the slope angle | http://upload.wikimedia.org/wikipedia/commons/9/97/Conic_section_(PSF).png | | |>> Image courtesy of the wiki commons. <<| | There are some degenerate cases i.e. when the cutting plane passes through the apex of the cone: * point - a degenerate circle (or ellipse) * line - a degenerate parabola * intersecting lines - a degenerate hyperbola