Desargues's concepts of involution and transversal, their origin, and possible sources of inspiration

DOI10.1007/s00407-022-00296-5OpenAlexW4292662069MaRDI QIDQ2084277

Andrea Del Centina

Publication date: 18 October 2022

Published in: Archive for History of Exact Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00407-022-00296-5

zbMATH Keywords

transversalinvolution17th-century geometryhistory of projective geometry

Mathematics Subject Classification ID

History of mathematics in the 17th century (01A45)

Cites Work

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• On Kepler's system of conics in \textit{Astronomiae pars optica}
• The concept of involution in Girard Desargues' \textit{Brouillon project}
• Mathematics in perspective: Desargues, la Hire, le Poîvre
• Carnot's theory of transversals and its applications by Servois and Brianchon: the awakening of synthetic geometry in France
• \textit{Nombrils, bruslans, autrement foyerz}: projective geometry in action in Girard Desargues' \textit{Brouillon project}
• Pascal's mystic \textit{hexagram}, and a conjectural restoration of his lost treatise on conic sections
• The chords theorem recalled to life at the turn of the eighteenth century
• The diameter and the traversale: in Girard Desargues' studio
• The geometry of an art. The history of the mathematical theory of perspective from Alberti to Monge
• Two mathematical inventions in Kepler's ‘Ad vitellionem paralipomena’
• Desargues' Brouillon Project and the Conics of Apollonius
• L'œuvre de Pascal en géométrie projective

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