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Ordering Axioms

The four of Hilbert's Axioms which concern the arrangement of points.

See also Congruence Axioms, Continuity Axioms, Hilbert's Axioms, Incidence Axioms, Parallel Postulate


Hilbert, D. The Foundations of Geometry, 2nd ed. Chicago, IL: Open Court, 1980.

Iyanaga, S. and Kawada, Y. (Eds.). ``Hilbert's System of Axioms.'' §163B in Encyclopedic Dictionary of Mathematics. Cambridge, MA: MIT Press, pp. 544-545, 1980.

© 1996-9 Eric W. Weisstein