# Definition:Affine Geometry

## Definition

**Affine geometry** is the study of the geometry of affine spaces.

It provides a modern axiomatic approach to the study of configurations of lines, planes and hypersurfaces.

In particular an affine space can be thought of as a finite dimensional vector space with no distinguished origin, and its affine transformations are those that preserve collinearity.

## Also see

- Results about
**affine geometry**can be found here.