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The five of Hilbert's Axioms which concern geometric equivalence.
See also Congruence Axioms, Continuity Axioms, Hilbert's Axioms, Incidence Axioms, Ordering Axioms, Parallel Postulate
References
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.