Über Anzahl und Verteilung der Scheitel ebener Bogen. (On the number and distribution of the vertices of plane arcs) (Q1093160)
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scientific article; zbMATH DE number 4022026
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Über Anzahl und Verteilung der Scheitel ebener Bogen. (On the number and distribution of the vertices of plane arcs) |
scientific article; zbMATH DE number 4022026 |
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Über Anzahl und Verteilung der Scheitel ebener Bogen. (On the number and distribution of the vertices of plane arcs) (English)
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1987
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The system of axioms of order geometry in the plane given by \textit{O. Haupt} and \textit{H. Künneth}, Geometrische Ordnungen (1967; Zbl 0172.239) is simplified. Within this frame the authors give upper and lower bounds for the number of singular points (vertices) of an arc and study how a smooth arc is built up as the union of normal subarcs.
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characteristic
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number of singular points
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vertices
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arc
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0.7889560461044312
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0.7682035565376282
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0.7381988167762756
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