structural:scholar_edition
Rectangular hyperbola

In the case a = b {\displaystyle a=b} the hyperbola is called rectangular (or equilateral), because its asymptotes intersect at right angles. For this case, the linear eccentricity is c = 2 a {\displaystyle c={\sqrt {2}}a}, the eccentricity e = 2 {\displaystyle e={\sqrt {2}}} and the semi-latus rectum p = a {\displaystyle p=a}. The graph of the equation y = 1 / x {\displaystyle y=1/x} is a rectangular hyperbola.