Area functions on affine planes

DOI10.1007/S00022-016-0329-ZzbMath1376.51003OpenAlexW2317093984MaRDI QIDQ506951

Benjamin Weber, Hermann Hähl

Publication date: 2 February 2017

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-016-0329-z

zbMATH Keywords

area functionmidpoint ruletrapezium rulegeometric valuationoriented area functionrule of parallelogram halves

Mathematics Subject Classification ID

Length, area and volume in real or complex geometry (51M25) Ordered geometries (ordered incidence structures, etc.) (51G05) Desarguesian and Pappian geometries (51A30)

Related Items (1)

The Axiomatic Destiny of the Theorems of Pappus and Desargues

Cites Work

• Grundlagen der affinen und euklidischen Geometrie
• Zur Definition des Flächeninhalts in affinen Ebenen
• A completion to the report about geometry of the Kahane commission: The example of affine geometry in the college
• Die Orientierungsfunktionen eines affinen Raumes
• The Fundamental Theorems of Elementary Geometry. An Axiomatic Analysis
• Die Ordnungsfunktionen einer Geometrie
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