Rectangular Hyperbola

$\begin{figure}\begin{center}\BoxedEPSF{RectangularHyperbola.epsf scaled 700}\end{center}\end{figure}$

A Right Hyperbola of the special form

$\begin{displaymath} xy=ab, \end{displaymath}$

so that the Asymptotes are the lines

and

. The rectangular hyperbola is sometimes also called an Equilateral Hyperbola.

References

Courant, R. and Robbins, H. What is Mathematics?: An Elementary Approach to Ideas and Methods, 2nd ed. Oxford, England: Oxford University Press, pp. 76-77, 1996.