On M. T. Calapso's characterization of the metric of an absolute plane

Victor Pambuccian, Rolf Struve

Research output: Contribution to journalArticle

7 Scopus citations

Abstract

We show that the equivalence of the rectangle existence axiom to an axiom used by Maria Teresa Calapso to characterize the Euclidean metric can be proved inside rather weak, purely metric axiom systems for absolute planes.

Original languageEnglish (US)
Pages (from-to)105-116
Number of pages12
JournalJournal of Geometry
Volume92
Issue number1-2
DOIs
StatePublished - Mar 1 2009

Keywords

  • Absolute plane
  • Euclidean metric
  • Metric plane
  • Plane with congruence
  • Rectangle axiom
  • Wolff plane

ASJC Scopus subject areas

  • Geometry and Topology

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