\begin{definition}[Definition:Affine Frame/Definition 1]
Let $\EE$ be an affine space with difference space $V$.
An '''affine frame''' in $\EE$ is an ordered tuple $\tuple {p_0, e_1, \ldots, e_n}$, where:
:$p_0$ is an element of $\EE$ called the '''origin'''
:$\tuple {e_1, \ldots, e_n}$ is an ordered basis for $V$.
Category:Definitions/Affine Geometry
\end{definition}