Define Conic Section

Did you know that by taking different slices through a cone you can create a circle an ellipse a parabola or a hyperbola.

Define conic section. Conic section a curve formed by the intersection of a plane with a cone. A section or slice through a cone. It is the locus of all points p whose distance to a fixed point f called the focus is a constant multiple called the eccentricity e of the distance from p to a fixed line l called the directrix for 0 e 1 we obtain an ellipse for e 1 a parabola and for e 1 a hyperbola.

A conic section or simply conic is a curve obtained as the intersection of the surface of a cone with a plane. Conic section definition is a plane curve line pair of intersecting lines or point that is the intersection of or bounds the intersection of a plane and a cone with two nappes. Alternatively one can define a conic section purely in terms of plane geometry.

The three types are parabolas ellipses and hyperbolas.