# Affine set

### From Glossary

(or *affine manifold, affine variety, linear variety, flat*.)

A set that contains the line through any two of its points --i.e. implies for all . The *dimension* of an affine set is that of the (unique) subspace parallel to it. Dimensions of 0, 1 and 2 are called *points, lines* and *planes*, respectively.