Between the 13th and 16th centuries, new theories of mathematical ratios and proportions developed in Europe, which, while rooted in traditions dating back to Euclid and Nicomachus, went beyond them by proposing new objects such as the naming of ratios, whether rational or irrational, or the ratios of ratios. A special place is given in this book to Nicole Oresme's treatise On the ratios of ratios, which, in the wake of Thomas Bradwardine's work, proposes an innovative theory of great mathematical interest. We will see how this theory was accepted or rejected, in particular by Blaise de Parme, Alvares Thomas or Pedro Nuñez. The first translated and commented critical edition of Nicole Oresme's Algorismus proportionum is appended to this work.
...MoreSimilar Citations
Article
Elisabetta Ulivi;
Martina Zoccola;
(2019)
Proporzioni e algebra nella trattatistica matematica del Basso Medioevo e del Rinascimento
(/isis/citation/CBB321829056/)
Article
Høyrup, Jens;
(2009)
“Proportions’’ in and around the Italian Abbacus Tradition
(/isis/citation/CBB858782494/)
Book
Kim Williams;
Michael J. Ostwald;
(2015)
Architecture and Mathematics from Antiquity to the Future: Volume I: Antiquity to the 1500s
(/isis/citation/CBB061663908/)
Book
Rommevaux, S.;
Vendrix, P.;
Zara, V.;
(2011)
Proportions. Science, musique, peinture et architecture
(/isis/citation/CBB001211955/)
Chapter
Giusti, Enrico;
(2008)
La théorie des proportions au XVIe siècle: entre philologie et mathématiques
(/isis/citation/CBB000952199/)
Chapter
Hogendijk, Jan;
(2002)
Anthyphairetic Ratio Theory in Medieval Islamic Mathematics
(/isis/citation/CBB000203455/)
Article
Rommevaux, Sabine;
(2007)
La similitude des équimultiples dans la définition de la proportion non continue de l'édition des Éléments d'Euclide par Campanus: une difficulté dans la réception de la théorie des proportions au Moyen Âge
(/isis/citation/CBB000930657/)
Book
Pelacani da Parma, Biagio;
Biard, Joël;
Rommevaux, Sabine;
(2005)
Questiones circa tractatum proportionum magistri Thome Braduardini
(/isis/citation/CBB001020074/)
Book
Borrelli, Arianna;
(2008)
Aspects of the Astrolabe: “Architectonica Ratio” in Tenth- and Eleventh-Century Europe
(/isis/citation/CBB000953090/)
Article
Christine Chambris;
Jana Visnovska;
(2022)
On the history of units in French elementary school arithmetic: The case of proportionality
(/isis/citation/CBB935801822/)
Thesis
Newsome, Daniel;
(2012)
Quadrivial Pursuits: Case Studies in the Conceptual Foundation of the Mathematical Arts in the Late Middle Ages
(/isis/citation/CBB001560724/)
Article
Rossi, Corinna;
Tout, Christopher A.;
(2002)
Were the Fibonacci Series and the Golden Section Known in Ancient Egypt?
(/isis/citation/CBB000200281/)
Book
Herz-Fischler, Roger;
(2004)
Adolph Zeising (1810--1876): The Life and Work of a German Intellectual
(/isis/citation/CBB000550799/)
Article
Gandon, Sébastien;
(2009)
La théorie des rapports chez Augustus de Morgan
(/isis/citation/CBB000954528/)
Article
Mendell, Henry;
(2007)
Two Traces of Two-Step Eudoxan Proportion Theory in Aristotle: A Tale of Definitions in Aristotle, with a Moral
(/isis/citation/CBB000740261/)
Chapter
Reviel Netz;
(2016)
Mathematics
(/isis/citation/CBB996690754/)
Article
Saito, Ken;
(2003)
Phantom Theories of Pre-Eudoxean Proportion
(/isis/citation/CBB000740735/)
Article
Abdounur, Oscar João;
(2009)
A Preliminary Survey on the Emergence of an Arithmetical Theory of Ratios
(/isis/citation/CBB000933568/)
Article
Zhu, Yiwen;
(2008)
Reviewing the Process of Liu Hui's Deducing the Circular Constant through “Modifying by Ratio”
(/isis/citation/CBB000933513/)
Article
De Young, Gregg;
(2009)
A Persian Translation of al-Jawharī's Additions to Elements, Book V
(/isis/citation/CBB001510401/)
Be the first to comment!