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A '''hyperbola''' is a curve produced by the intersection of a plane with both nappes of a [[conic section]].

A '''hyperbola''' is a curve produced by the intersection of a plane with both nappes of a [[conic section]].

== Mathematical definition ==

== Mathematical definition ==

A hyperbola may be more formally defined as the locus of all points  the difference of whose distances from two fixed points (the foci) is constant.  The [[Cartesian]] equation for a hyperbola with a semimajor axis about the x-axis is

A hyperbola may be more formally defined as the locus of all points  the difference of whose distances from two fixed points (the foci) is constant.  The [[Cartesian]] equation for a hyperbola with a semimajor axis about the x-axis is