Definition:Rectangular Hyperbola

Definition

A rectangular hyperbola is a hyperbola whose transverse axis is equal to its conjugate axis.

Standard Form

Let $K$ be a Rectangular hyperbola embedded in a cartesian plane.

$K$ is in standard form if and only if:

$(1)$ its major axis is aligned with the straight line $y = x$

$(2)$ its minor axis is aligned with the straight line $y = -x$.

Also known as

A rectangular hyperbola is also known as:

an equiangular hyperbola

an equilateral hyperbola.

Also see

• Results about rectangular hyperbolas can be found here.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): hyperbola
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): hyperbola