Sur une classe remarquable de courbes et de surfaces algébriques et sur la théorie des imaginaires

treatise by Darboux

Written by

The Information Architects of Encyclopaedia Britannica

Last updated

July 14, 2026

Quick Summary

The treatise "Sur une classe remarquable de courbes et de surfaces alg\u00e9briques et sur la th\u00e9orie des imaginaires" (1873) by Jean-Gaston Darboux focuses on a specific category of algebraic curves and surfaces, as well as the theory of imaginary numbers. Darboux, a French mathematician known for his contributions to geometry and analysis, developed the theory of cyclides within this work.1

Algebraic geometry, the broader field to which this treatise relates, is the study of geometric properties derived from solutions to polynomial equations. It explores curves and surfaces defined by these equations, classifying them based on properties like genus. Darboux's theorem, also named after him, is a statement in analysis concerning the intermediate value property of derivative functions.23

Summary created from Britannica articles using AI. AI can make mistakes, so verify using Britannica articles.

3 Britannica Sources

Ask Britannica AI about this topic

Britannica doesn't have a full article on this topic, so we've curated a list of our relevant coverage.

Jean-Gaston Darboux
In his treatise Sur une classe remarquable de courbes et de surfaces algébriques et sur la théorie des imaginaires (1873; “On a Class of Remarkable Curves and Algebraic Surfaces and on the Theory of Imaginary Numbers”), he developed the theory of the class of surfaces called cyclides.
Read More
In his treatise Sur une classe remarquable de courbes et de surfaces algébriques et sur la théorie des imaginaires (1873; “On a Class of Remarkable Curves and Algebraic Surfaces and on the Theory of Imaginary Numbers”), he developed the theory of the class of surfaces called cyclides.
Read More