Article ID: CBB805193826

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

unapi

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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Citation URI
https://data.isiscb.org/isis/citation/CBB805193826/

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Authors & Contributors
Sutherland, Daniel
Domski, Mary
Del Centina, Andrea
Shahidi, Mahmoud
Lorenat, Jemma
Wojcik, W.
Concepts
Geometry
Philosophy of mathematics
Mathematics
Conic sections
Philosophy
Imagination
Time Periods
18th century
19th century
17th century
Qajar dynasty, Iran (1794-1925)
Modern
Ancient
Places
France
England
Greece
Germany
Europe
Iran
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