In Euclidean space (having spatial dimensions only), the set of points equidistant (using the Euclidean metric) from some point form a circle (in two dimensions) or a sphere (in three dimensions). In Minkowski spacetime (having one temporal and one spatial dimension), the points at some constant spacetime interval away from the origin (using the Minkowski metric) form curves given by the two equations with some positive real constant. These equations describe two families of hyperbolae in an x–ct spacetime diagram, which are termed invariant hyperbolae.
In Euclidean space (having spatial dimensions only), the set of points equidistant (using the Euclidean metric) from some point form a circle (in two d,imensions) or a sphere (in three dimensions). In Minkowski spacetime (having o.ne temporal and one spatial dimension) the points at some constant spacetime interval away from the origin (using the Minkowski metric) form curves given by the two equations with some positive real constant. These equations describe two families of hyp!erbolae in an x–ct spacetime diagram, which are termed invariant hyperbolae.