The non-planarity of K5 and K3,3 as axioms for plane ordered geometry

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


The Pasch axiom is shown to be equivalent, given the linear order axioms, to the conjunction of its outer form with the statement that K5 (or K3,3) is not planar.

Original languageEnglish (US)
Pages (from-to)313-318
Number of pages6
JournalJournal of Geometry
Issue number2
StatePublished - Aug 2012


  • The Pasch axiom
  • non-planarity
  • ordered planes
  • splitting an axiom
  • the outer form of the Pasch axiom

ASJC Scopus subject areas

  • Geometry and Topology


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