what is a hyperbola?

This publication aims to give the concept of hyperbole

The hyperbola is one of the four kinds of conic section, formed by the intersection of a plane and a cone.

 

Which conic section is formed depends on the angle the plane makes with the axis of the cone, compared with the angle a line on the surface of the cone makes with the axis of the cone. If the angle between the plane and the axis is less than the angle between the line on the cone and the axis, or if the plane is parallel to the axis, then the conic is a hyperbola.

  

Hyperbola specifically a smooth curve that lies in a plane, which can be defined either by its geometric properties or by the kinds of equations for which it is the solution set