Les commentaires d'al-Māhānī et d'un anonyme du Livre X des Éléments d'Euclide

Arabic Sciences and Philosophy 9 (1):89 (1999)
  Copy   BIBTEX

Abstract

This paper presents the first edition, translation and analyse of al-Mns commentary of the Book X of Euclid one. For the first time, irrational numbers are defined and classified. The algebraisation of Elementsrizms Algebra, shows irrational numbers as solution to algebraic quadratic equations. The algebraic calculus makes here the first steps. On this occasion, negative numbers and their calculation rules appears. Simplifications imposed by the algebraic writings are sometimes in opposition with the conclusions of propositions conceived in a purely geometrical framework, revealing a contradiction between geometrical and algebraic goals. It will be resolved by the independant way algebra will take with mathematicians belonging to the tradition of al-Karajal from the 11th-12th centuries on

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 90,616

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Euclide d’Alexandrie: Les Éléments. [REVIEW]lan Mueller - 1993 - Ancient Philosophy 13 (2):456-460.

Analytics

Added to PP
2010-09-02

Downloads
23 (#584,438)

6 months
6 (#202,901)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

Add more citations

References found in this work

No references found.

Add more references