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LE TRACÉ CONTINU DES SECTIONS CONIQUES À LA RENAISSANCE: APPLICATIONS OPTICO-PERSPECTIVES, HÉRITAGE DE LA TRADITION MATHÉMATIQUE ARABE

Published online by Cambridge University Press:  01 September 2007

DOMINIQUE RAYNAUD
Affiliation:
Université Pierre-Mendès-France, Grenoble II, (CNRS UMR 7544, Paris), 151 rue des Universités, 38040 Grenoble, France

Abstract

The perfect compass, used by al-Qūhī, al-Sijzī and his successors for the continuous drawing of conic sections, reappeared after a long eclipse in the works of Renaissance mathematicians like Francesco Barozzi in Venice. The resurgence of this instrument seems to have depended on its interest to solve new optico-perspective problems. Having reviewed the various instruments designed for the drawing of conic sections, the article is focused on the sole conic compass. Theoretical and empirical applications are detailed. Contrarily to the common thesis of an independant discovery, various elements suggest a direct descent between the birkār al-tāmm of the Arabic mathematical tradition and the Italian conic compass. Then we present the most probable transmission hypothesis involving: 1° Ibn Yūnus and his disciples of Mosul, 2° Sultan Malik al-Kāmil in Damas, 3° Master Theodore and Frederick II at the court of Sicily, 4° Andalò di Negro and Robert of Anjou in Naples, 5° Lorenzo della Volpaia, Vinci, Sangallo and Michelangelo in Florence, 6° Ausonio, Contarini, Thiene and Francesco Barozzi in Venice.

Type
Research Article
Copyright
Copyright © Cambridge University Press 2007

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LE TRACÉ CONTINU DES SECTIONS CONIQUES À LA RENAISSANCE: APPLICATIONS OPTICO-PERSPECTIVES, HÉRITAGE DE LA TRADITION MATHÉMATIQUE ARABE
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LE TRACÉ CONTINU DES SECTIONS CONIQUES À LA RENAISSANCE: APPLICATIONS OPTICO-PERSPECTIVES, HÉRITAGE DE LA TRADITION MATHÉMATIQUE ARABE
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LE TRACÉ CONTINU DES SECTIONS CONIQUES À LA RENAISSANCE: APPLICATIONS OPTICO-PERSPECTIVES, HÉRITAGE DE LA TRADITION MATHÉMATIQUE ARABE
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