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 |