The elementary Archimedean axiom in absolute geometry

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1 Scopus citations


Absolute planes in which the elementary Archimedean axiom holds satisfy Aristotle’s axiom. Absolute planes satisfying both the elementary Archimedean axiom and Bachmann’s Lotschnittaxiom are Euclidean. The Corollary to Aristotle’s axiom is equivalent to Aristotle’s axiom.

Original languageEnglish (US)
Article number52
JournalJournal of Geometry
Issue number3
StatePublished - Dec 1 2019


  • Absolute plane geometry
  • Aristotle’s axiom
  • Euclidean parallel postulate
  • Lotschnittaxiom
  • elementary Archimedean axiom

ASJC Scopus subject areas

  • Geometry and Topology


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