\begin{definition}[Definition:Alternate Ratio]
Let $a : b$ and $c : d$ where $a : b$ denotes the ratio of $a$ to $b$.
Then the '''alternate ratio''' is defined as $a : c$ and $b : d$.
{{EuclidSaid}}
:''{{:Definition:Euclid's Definitions - Book V/12 - Alternate Ratio}}''
{{EuclidDefRefNocat|V|12|Alternate Ratio}}
Category:Definitions/Euclidean Algebra
\end{definition}