Poncelet a la presó de Saratov

Authors

  • Joan Carles Naranjo

Abstract

Poncelet was a soldier in the French army who took part in the Battle of Krasnoï where the Napoleonic troops were defeated in the Russian war. During his stay as a prisoner in Saratov, based on his recollection of the inspiring lectures of Gaspard Monge at the École Polytechnique, he worked on the foundations of projective geometry. The influence of the work of Poncelet extends throughout the 19th century. Among the results proved by Poncelet in this period the most remarkable is the acclaimed Poncelet's porism which deals with the existence of polygons with vertices in a given conic and edges that are tangents to another fixed conic. In this paper we review certain facts of Poncelet's life and we set out a notion of one of the demonstrations of the porism.

Published

2018-07-16

How to Cite

Naranjo, J. C. (2018). Poncelet a la presó de Saratov. Butlletí De La Societat Catalana De Matemàtiques, 33(1), 43–55. Retrieved from https://revistes.iec.cat/index.php/BSCM/article/view/99829.003

Issue

Section

Articles