\begin{definition}[Definition:Affine Frame/Definition 2]
Let $\EE$ be an affine space with difference space $V$.
An '''affine frame''' may be given by the set of $n + 1$ points:
:$\tuple {q_0, \ldots, q_n} = \tuple {p_0, p_0 + e_1, \ldots, p_0 + e_n}$
The frame $\tuple {p_0, e_1, \ldots, e_n}$ is then recovered by:
:$\tuple {q_0, q_1 - q_0, \ldots, q_n - q_0}$
Category:Definitions/Affine Geometry
\end{definition}