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Projective Configuration Theorems: Old Wine into New Wineskins

In: Geometry in History

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  • Serge Tabachnikov

    (Penn State University, Department of Mathematics)

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.

Suggested Citation

  • Serge Tabachnikov, 2019. "Projective Configuration Theorems: Old Wine into New Wineskins," Springer Books, in: S. G. Dani & Athanase Papadopoulos (ed.), Geometry in History, chapter 0, pages 401-434, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-13609-3_9
    DOI: 10.1007/978-3-030-13609-3_9
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