Application
The Moulton plane is an affine plane in which Desargues' theorem does not hold. The associated projective plane is consequently non-desarguesian as well. This means that there are projective planes not isomorphic to for any (skew) field F. Here is the projective plane determined by a 3-dimensional vector space.
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—Philip Dormer Stanhope, 4th Earl Chesterfield (1694–1773)
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