\begin{definition}[Definition:Archimedean Spiral/Archimedes' Definition]
{{AuthorRef|Archimedes of Syracuse|Archimedes}}' definition of his Archimedean spiral is as follows:
:''If a straight line of which one extremity remains fixed be made to revolve at a uniform rate in a plane until it returns to the position from which it started, and if, at the same time as the straight line revolves, a point moves at a uniform rate along the straight line, starting from the fixed extremity, the point will describe a spiral in the plane.''
\end{definition}