Affine plane

In geometry, an affine plane is a two-dimensional affine space. Typical examples of affine planes are All the affine planes defined over a field are isomorphic. More precisely, the choice of an affine coordinate system (or, in the real case, a Cartesian coordinate system) for an affine plane P over a field F induces an isomorphism of affine planes...
Found on http://en.wikipedia.org/wiki/Affine_plane

Affine plane

[incidence geometry] In geometry, an affine plane is a system of points and lines that satisfy the following axioms: In an affine plane, two lines are called parallel if they are equal or disjoint. Since no concepts other than those involving the relationship between points and lines are involved in the axioms, an affine plane is an object ...
Found on http://en.wikipedia.org/wiki/Affine_plane_(incidence_geometry)
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