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Article ID: CBB805193826

Carnot’s theory of transversals and its applications by Servois and Brianchon: the awakening of synthetic geometry in France (2022)

Del Centina, Andrea (Author)

Archive for History of Exact Sciences
Volume: 76
Issue: 1
Pages: 45-128
Publication date: 2022
Language: English

URI: https://doi.org/10.1007/s00407-021-00276-1

DOI: 10.1007/s00407-021-00276-1

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Philosophy of mathematics Geometry Conic sections 19th century 18th century Servois, François Joseph Carnot, Lazare Nicolas Marguérite

In this paper we discuss in some depth the main theorems pertaining to Carnot’s theory of transversals, their initial reception by Servois, and the applications that Brianchon made of them to the theory of conic sections. The contributions of these authors brought the long-forgotten theorems of Desargues and Pascal fully to light, renewed the interest in synthetic geometry in France, and prepared the ground from which projective geometry later developed.

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