The axiomatic destiny of the theorems of Pappus and Desargues

Victor Pambuccian; Celia Schacht

doi:10.1007/978-3-030-13609-3_8

The axiomatic destiny of the theorems of Pappus and Desargues

Victor Pambuccian, Celia Schacht

Research output: Chapter in Book/Report/Conference proceeding › Chapter

6 Scopus citations

Abstract

We present the largely twentieth century history of the discovery of the significance of Pappus and Desargues for the axiomatics of geometry. Their significance is followed in projective, affine, and orthogonality contexts. There is an extensive bibliography, that should allow the interested reader to take a comprehensive look at the research literature on these axioms.

Original language	English (US)
Title of host publication	Geometry in History
Publisher	Springer International Publishing
Pages	355-399
Number of pages	45
ISBN (Electronic)	9783030136093
ISBN (Print)	9783030136086
DOIs	https://doi.org/10.1007/978-3-030-13609-3_8
State	Published - Oct 18 2019

ASJC Scopus subject areas

General Mathematics

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10.1007/978-3-030-13609-3_8

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abstract = "We present the largely twentieth century history of the discovery of the significance of Pappus and Desargues for the axiomatics of geometry. Their significance is followed in projective, affine, and orthogonality contexts. There is an extensive bibliography, that should allow the interested reader to take a comprehensive look at the research literature on these axioms.",

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AB - We present the largely twentieth century history of the discovery of the significance of Pappus and Desargues for the axiomatics of geometry. Their significance is followed in projective, affine, and orthogonality contexts. There is an extensive bibliography, that should allow the interested reader to take a comprehensive look at the research literature on these axioms.

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The axiomatic destiny of the theorems of Pappus and Desargues

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