Definition:Rectangular Hyperbola/Standard Form

Definition

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 see

• Results about rectangular hyperbolas can be found here.

Linguistic Note

The term Standard Form of Rectangular Hyperbola was invented by $\mathsf{Pr} \infty \mathsf{fWiki}$.

As such, it is not generally expected to be seen in this context outside $\mathsf{Pr} \infty \mathsf{fWiki}$.

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