# What is new and what is old in Viète's analysis restituta and algebra nova, and where do they come from ? Some reflections on the relations between algebra and analysis before Viète

@article{Panza2007WhatIN, title={What is new and what is old in Vi{\`e}te's analysis restituta and algebra nova, and where do they come from ? Some reflections on the relations between algebra and analysis before Vi{\`e}te}, author={Marco Panza}, journal={Revue d Histoire des Mathematiques}, year={2007}, volume={13}, pages={85-153} }

Francois Viete considered most of his mathematical treatises to be part of a body of texts he entitled "Opus restitutae Mathematicae Analyseos Seu Algebrâ novâ". Despite this title and the fact that the term "algebra'' has often been used to designate what is customarily regarded as Viete's main contribution to mathematics, such a term is not part of his vocabulary. How should we understand this term, in the context of the title of his Opus, where "new algebra'' is identified with "restored…

## 17 Citations

François Viète’s revolution in algebra

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François Viète: between analysis and cryptanalysis

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- 2012

The purpose is to reformulate the thesis that many of Euclid’s geometric arguments are diagram-based in a quite general way, by describing what he takes to be the twofold role that diagrams play in Euclid's plane geometry (EPG).

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The casus irreducibilis in Cardano’s Ars Magna and De Regula Aliza

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Al-Khayyām’s Scientific Revision of Algebra

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Geometers in medieval Islam found algebra to be a useful tool in solving problems, but the Greek restriction of “number” to positive integers, adhered to by al-Khayyām (and presumably others), is at…

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