Definition:Affine Geometry

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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.