The telling of the unattainable attempt to avoid the {casus irreducibilis} for cubic equations: Cardano's {De Regula Aliza}. With a compared transcription of 1570 and 1663 editions and a partial English translation

Solving cubic equations by a formula that involves only the elementary operations of sum, product, and exponentiation of the coefficients is one of the greatest results in 16th century mathematics. This was achieved by Girolamo Cardano's Ars Magna in 1545. Still, a deep, substantial difference...

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Bibliographic Details
Main Author: Confalonieri, Sara
Language:English
Published: Université Paris-Diderot - Paris VII 2013
Subjects:
Online Access:http://tel.archives-ouvertes.fr/tel-00875863
http://tel.archives-ouvertes.fr/docs/00/91/56/86/PDF/Confalonieri_PhDthesis.pdf