\begin{definition}[Definition:Conic Section/Reduced Form/Hyperbola]
Let $K$ be a hyperbola embedded in a cartesian plane.
$K$ is in '''reduced form''' {{iff}}:
:$(1)$ its major axis is aligned with the $x$-axis
:$(2)$ its minor axis is aligned with the $y$-axis.
:500px
\end{definition}