
conic sections


The four curves  circles, ellipses, parabolas, and hyperbolas. They are called conic sections because they can be formed by intersecting a right circular cone with a plane.
When the plane is perpendicular to the axis of the cone, the resulting intersection is a circle. When the plane is slightly tilted, the result is an ellipse. When the plane is parallel to the side (one element) of the cone, it produces a parabola. When the plane cuts both extensions of the cone, it yields a hyperbola.

