Ideal chords in Poncelet’s work, from Saratov to the Traité des propriétés projectives des figures - HAL Accéder directement au contenu
Chapitre d'ouvrage Année : 2024

Ideal chords in Poncelet’s work, from Saratov to the Traité des propriétés projectives des figures

Résumé

This article aims to clarify the nature of “ideal elements” that Jean-Victor Poncelet introduced into geometry, notably in his Traité des Propriétés Projectives des Figures (1822). Moreover, it argues that the notebooks that Poncelet wrote in Saratov, as a prisoner of war, between March 1813 and June 1814, shed light on the genesis of this concept and the part these elements played in Poncelet’s geometrical approach to geometry. In fact, the notebooks suggest that, as early as 1813-1814, Poncelet had shaped some of the key ideas that would turn the Traité into the foundation of projective geometry.
Loading...
Fichier non déposé

Dates et versions

halshs-04380893, version 1 (08-01-2024)

Identifiants

Citer

Bruno Belhoste, Karine C.C. Chemla. Ideal chords in Poncelet’s work, from Saratov to the Traité des propriétés projectives des figures. Toke Lindegaard Knudsen; Jessica Carter. Episodes from the History of Mathematics: Essays in Honor of Jesper Lützen, De Gruyter, 2024, ⟨10.1515/9783110769968-004⟩. ⟨halshs-04380893⟩
9 Consultations
0 Téléchargements
Dernière date de mise à jour le 28/04/2024
comment ces indicateurs sont-ils produits

Altmetric

Partager

Gmail Facebook Twitter LinkedIn Plus