\begin{definition}[Definition:Binomial (Euclidean)/Order]
Let $a$ and $b$ be two positive real numbers.
Let $a + b$ be a binomial.
The '''order''' of $a + b$ is the name of its classification into one of the six categories: first, second, third, fourth, fifth or sixth.
Category:Definitions/Euclidean Number Theory
\end{definition}