An axiom system for Lingenberg's metric-Euclidean planes (Q1775245)
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scientific article; zbMATH DE number 2165803
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An axiom system for Lingenberg's metric-Euclidean planes |
scientific article; zbMATH DE number 2165803 |
Statements
An axiom system for Lingenberg's metric-Euclidean planes (English)
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6 May 2005
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It is shown that Lingenberg's metric-Euclidean planes are the rectangular planes of Karzel and Stanik which satisfy the axiom that the existence of two perpendicular bisectors of a triangle implies the third.
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metric-Euclidean planes
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rectangular planes
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Lingenberg planes
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