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In Artin [l, pp. 51-75] the affine plane is developed and coordinatized from a system of four axioms. The present paper also develops affine plane geometry from a system of four axioms. The first three are the same as Artin's. The fourth is concerned with parallel projections from lines to lines. It leads to a construction of a skew field in a fashion(More)
An algebraic equivalent of the four-color theorem is presented. The equivalent is the assertion of non-membership of a family of polynomials in a family of polynomial ideals over a particular finite field. A more precise statement must wait until specialized machinery has been introduced. Geometry and algebra give to airy nothing a local habitation and a(More)
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