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Mathématiques en perspective : Desargues, la Hire, le Poîvre

Abstract : It is tempting to consider Girard Desagues’ mathematical work, more precisely his Brouillon project on conics, as a work of mathematics applied to perspective. We would like to show in this text that it is probably more pertinent to consider that Desargues does mathematics as a practitionner of the art of perspective. We shall analyze a few extracts of Desargues’ work with this point of view in mind so as to shed light on his innovative ideas that could be hard to understand in his sometimes obscure style. We shall show how this way of doing geometry has inspired Philippe de la Hire and Jacques-Francois le Poîvre and has led them to consider a transformation of the plane into itself as an explicited mathematical object.
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https://hal-amu.archives-ouvertes.fr/hal-02925995
Contributor : Jean-Yves Briend Connect in order to contact the contributor
Submitted on : Monday, August 31, 2020 - 11:34:25 AM
Last modification on : Tuesday, October 19, 2021 - 10:59:44 PM
Long-term archiving on: : Tuesday, December 1, 2020 - 12:18:42 PM

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  • HAL Id : hal-02925995, version 1

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Jean-Yves Briend. Mathématiques en perspective : Desargues, la Hire, le Poîvre. 2020. ⟨hal-02925995v1⟩

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