Proof in C17 algebra
Savoir manier les instruments : la géométrie dans les écrits italiens d’architecture (1545-1570)
Cet article est consacré à la géométrie véhiculée par les écrits d’architecture, en particulier les écrits italiens de la seconde moité du xvie siècle. Il explore le rôle central attribué aux instruments dans cette géométrie. De quelle façon s’insère-t-elle dans les multiples traditions mathématiques de la même époque ? Elle se nourrit de fait à la fois d’apports de la tradition savante, de celle des abacistes et de la géométrie pratique. On s’attachera à mettre en évidence, dans les propositions...
Semplici considerazioni sopra un presunto errore di Galileo.
Textes & documents - A new source for medieval mathematics in the iberian peninsula: the commercial arithmetic in Ms 10106 (Biblioteca Nacional, Madrid)
This paper contains a critical edition of a short commercial arithmetic written in Castilian (ca. 1400). The manuscript has certain characteristic features, like the presence of composite fractions, that distinguishes it from other known treatises of the Iberian peninsula. The document appears to improve considerably our knowledge of the origins and the transmission of vernacular commercial arithmetic in Europe.
The division problem gets going: more and more. (Le problème des partis bouge: de plus en plus.)
The fundamental theorem of algebra before Carl Friedrich Gauss.
This is a paper about the first attemps of demonstration of the fundamental theorem of algebra.Before, we analyze the tie between complex numbers and the number of roots of an equation of n-th degree.In the second paragraph, we see the relation between integration and the fundamental theorem.Finally, we observe the linear differential equation with constant coefficients and Euler's position about the fundamental theorem, and then we consider d'Alembert's, Euler's and Laplace's demonstrations.It...
The Soft Logic of Thomas Harriot
Thomas Harriot on Combinations
Thomas Harriot (1560?–1621) is known today as an innovative mathematician and a natural philosopher with wide intellectual horizons. This paper will look at his interest in combinations in three contexts: language (anagrams), natural philosophy (the question of atomism) and mathematics (number theory), in order to assess where to situate him in respect of three current historiographical debates: 1) whether there existed in the late Renaissance two opposed mentalities, the occult and the scientific;...
Three-Dimensional and Dynamic Constructions Based on Leonardo Grids
Trigonometrie v Evropě v 15.-17. století
Une utilisation précoce de l’algèbre en France au XV siècle. Note sur le manuscrit 1339 de la Bibliothèque nationale de France
Le manuscrit français 1339 de la Bibliothèque nationale de France contient quelques exercices résolus par une méthode algébrique. Daté aux alentours de 1460 et associé à Jehan Fusoris, cet ouvrage pose le problème de la pénétration de l’algèbre en France, trente ans avant Nicolas Chuquet. Il nous conduit à nous interroger à nouveau sur les arithmétiques marchandes produites en langue française à la fin du Moyen Âge.
Viètes Tangentenkonstruktion und eine Klasse ebener Kurven.
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
François Viète considered most of his mathematical treatises to be part of a body of texts he entitled Opus restitutæ mathematicæ analyseos seu algebra nova. Despite this title and the fact that the term “algebra” has often been used to designate what is customarily regarded as Viète’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 analysis”?...
What was Nicolo Tartaglia doing in the night to Ash Wednesday of the year 1523 in Verona. (Was machte Nicolo Tartaglia in der Nacht zum Aschermittwoch des Jahres 1523 in Verona.)