An axiom system for Lingenberg's metric-Euclidean planes

Victor Pambuccian

doi:10.1007/s00022-004-1763-x

An axiom system for Lingenberg's metric-Euclidean planes

Research output: Contribution to journal › Article › peer-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 language	English (US)
Pages (from-to)	139-143
Number of pages	5
Journal	Journal of Geometry
Volume	81
Issue number	1-2
DOIs	https://doi.org/10.1007/s00022-004-1763-x
State	Published - Dec 1 2004

Keywords

Lingenberg planes
Metric-euclidean planes
Rectangular planes

ASJC Scopus subject areas

Geometry and Topology

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10.1007/s00022-004-1763-x

Cite this

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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{"}.",

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doi = "10.1007/s00022-004-1763-x",

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An axiom system for Lingenberg's metric-Euclidean planes

Abstract

Keywords

ASJC Scopus subject areas

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