Article ID: CBB462744436

Mathématiques en perspective: Desargues, la Hire, le Poîvre (2021)

unapi

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 analyse 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 can be also be found in the works Philippe de la Hire and Jacques-Francois le Poîvre, leading them to consider a transformation of the plane into itself as an explicited mathematical object.

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Authors & Contributors
Briend, Jean-Yves
Anglade, Marie
Bair, Jacques
Ely, Robert
Mary Ann Caws
Kuhlemann, Karl
Concepts
Mathematics
Philosophy of mathematics
Geometry
Conic sections
Philosophy
Infinitesimals
Time Periods
17th century
18th century
Places
France
Netherlands
Italy
Tuscany (Italy)
Great Britain
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