Affine space
= Affine space
{title2=$A$}
{wiki}
A nonempty set $A$ equipped with a <group action> of the additive group of a <vector space> $V$, such that for every $x,y\in A$ there is a unique $v\in V$ with $x+v=y$. There is no distinguished origin. Choosing one identifies $A$ with $V$; changing it gives a <translation>.