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
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.