Projective Configuration Theorems: Old Wine into New Wineskins

Serge Tabachnikov ()
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Serge Tabachnikov: Penn State University, Department of Mathematics

Chapter Chapter 9 in Geometry in History, 2019, pp 401-434 from Springer

Abstract: 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.

Keywords: Theorems of Pappus; Desargues; Pascal; Brianchon; Poncelet; Sylvester problem; Billiards; Pentagram map; Skewers; Line congruences (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-13609-3_9

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

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