Related pages

Coordinatizing an affine plane
This page describes a slightly different presentation of affine planes as coordinate planes over some set K. Let K be a set. We will use as the set of points of our geometry. Given a set S of permutations of K, the set of lines is defined to be

We have the following simple theorem.

Theorem. The pair is an affine plane if and only if and the following two conditions hold.

See also

Contributed by Hauke Klein
Version $Id: coordplane.html,v 1.1 2001/07/12 12:36:10 hauke Exp $