The notion of hyperbolic orthogonality arose in analytic geometry in consideration of conjugate diameters of ellipses and hyperbolas . if " g " and " g " 2 represent the slopes of the conjugate diameters, then g g'=-\ frac { b ^ 2 } { a ^ 2 } in the case of an ellipse and g g'= \ frac { b ^ 2 } { a ^ 2 } in the case of a hyperbola.
