Projective configuration theorems: Old wine into new wineskins

Serge Tabachnikov

doi:10.1007/978-3-030-13609-3_9

Projective configuration theorems: Old wine into new wineskins

Serge Tabachnikov

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

4 Scopus citations

Abstract

We survey some recent results concerning projective configuration theorems in the spirit of the classical theorems of Pappus, Desargues, Pascal, ... We hope that this modern take on the old theorems makes this evergreen topic fresh again. We connect configuration theorems to completely integrable systems, identities in Lie algebras of motion, modular group, and other subject of contemporary interest.

Original language	English (US)
Title of host publication	Geometry in History
Publisher	Springer International Publishing
Pages	401-434
Number of pages	34
ISBN (Electronic)	9783030136093
ISBN (Print)	9783030136086
DOIs	https://doi.org/10.1007/978-3-030-13609-3_9
State	Published - Oct 18 2019

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.1007/978-3-030-13609-3_9

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abstract = "We survey some recent results concerning projective configuration theorems in the spirit of the classical theorems of Pappus, Desargues, Pascal, ... We hope that this modern take on the old theorems makes this evergreen topic fresh again. We connect configuration theorems to completely integrable systems, identities in Lie algebras of motion, modular group, and other subject of contemporary interest.",

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AB - We survey some recent results concerning projective configuration theorems in the spirit of the classical theorems of Pappus, Desargues, Pascal, ... We hope that this modern take on the old theorems makes this evergreen topic fresh again. We connect configuration theorems to completely integrable systems, identities in Lie algebras of motion, modular group, and other subject of contemporary interest.

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BT - Geometry in History

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Projective configuration theorems: Old wine into new wineskins

Abstract

All Science Journal Classification (ASJC) codes

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