An axiom system for Lingenberg's metric-Euclidean planes

Research output: Contribution to journalArticlepeer-review

Abstract

We show that Lingenberg's metric-Euclidean planes are the rectangular planes of Karzel and Stanik which satisfy the axiom "If two of the perpendicular bisectors of a triangle exist, then so does the third".

Original languageEnglish (US)
Pages (from-to)139-143
Number of pages5
JournalJournal of Geometry
Volume81
Issue number1-2
DOIs
StatePublished - Dec 1 2004

Keywords

  • Lingenberg planes
  • Metric-euclidean planes
  • Rectangular planes

ASJC Scopus subject areas

  • Geometry and Topology

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