\begin{definition}[Definition:Apotome of Medial/Order]
Let $a, b \in \set {x \in \R_{>0} : x^2 \in \Q}$ be two rationally expressible numbers such that $a - b$ is an apotome of a medial.
The '''order''' of $a - b$ is the name of its classification into one of the two categories: first or second.
Category:Definitions/Apotome
\end{definition}