A geometry in which Archimedes' axiom does not hold.
Non-Archimedean Geometry
See also
Archimedes' Axiom, Horn Angle, Non-Archimedean Field, Non-Archimedean ValuationExplore with Wolfram|Alpha
References
Itô, K. (Ed.). §155D in Encyclopedic Dictionary of Mathematics, 2nd ed., Vol. 2. Cambridge, MA: MIT Press, p. 611, 1986.Referenced on Wolfram|Alpha
Non-Archimedean GeometryCite this as:
Weisstein, Eric W. "Non-Archimedean Geometry." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Non-ArchimedeanGeometry.html