Subplane of affine plane

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This term is related to: incidence geometry
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Template:Affine plane-subset property

Definition

A subplane of an affine plane is a subset of the point-and-line set that is an affine plane with the induced incidence structure satisfying the further condition that two lines are parallel in the subset if and only if they are parallel in the whole affine plane.

References

Finite Geometries by Peter Dembowski, Chapter 3. Projective and affine planes