IsisCB Explore

Article ID: CBB001213489

Quelques conceptions de la théorie des proportions dans des traités de la seconde moitié du dix-septième siècle (2013)

Lamandé, Pierre (Author)

Archive for History of Exact Sciences
Volume: 67, no. 6
Issue: 6
Pages: 595-636

Outside Links

WorldCat

Google Scholar

JSTOR

Academia.edu

Ratio and proportion Mathematics 17th century France Tacquet, André Arnauld, Antoine Pardies, Ignace Gaston Lamy, Bernard Rohault, Jacques

This article examines how the theory of proportions was explained during the second half of the seventeenth century in the works of Andreas Tacquet, Antoine Arnauld, Ignace Gaston Pardies, Bernard Lamy, and Jacques Rohault. These five authors had very different conceptions of this subject, and on one hand, they show that this question was not forgotten, even after the Geometry of Descartes, and on the other hand, their work displays the progressive transformation of mathematical objects. While Tacquet deepened Euclidean thought, the others stopped taking the Euclidean model as paradigmatic and tried to change the order of the Elements and to establish book V of Euclid in new ways. We shall see that this multiplicity of the approaches highlights both the vitality of the reflections and the difficulty in developing a new ontology of mathematics. Some of them nevertheless opened new perspectives that were to bloom only much later. We shall also see the increasingly important place of the algebra as time went by.

...More

Citation URI

https://data.isiscb.org/isis/citation/CBB001213489/

Citations Indexes

Similar Citations

Article Raphaële Andrault; (2018)
The Mind–Body Problem and the Role of Pain: Cross-Fire Between Leibniz and His Cartesian Readers (/isis/citation/CBB247713160/)

Article Laura Kotevska; (2021)
Moral improvement through mathematics: Antoine Arnauld and Pierre Nicole’s Nouveaux éléments de géométrie (/isis/citation/CBB373036205/)

Article Roveda, Lyndia; (2005)
Des épines aux fleurs des mathématiques: l'enseignement des Sciences chez Bernard Lamy (/isis/citation/CBB000670807/)

Article McClaughlin, Trevor; (1996)
Was there an empirical movement in mid-17th century France? Experiments in Jacques Rohault's Traité de physique (/isis/citation/CBB000072678/)

Book Costabel, Pierre; Martinet, Monette; (1986)
Quelques savants et amateurs de science au XVIIe siècle: Sept notices biobibliographiques caractéristiques (/isis/citation/CBB000033269/)

Book Gottfried Wilhelm Leibniz; Antoine Arnauld; Ernst, Landgrave of Hessen-Rheinfels; Stephen Voss; (2016)
The Leibniz-Arnauld Correspondence: With Selections from the Correspondence with Ernst, Landgrave of Hessen-Rheinfels (/isis/citation/CBB484194369/)

Book Schmaltz, Tad M.; (2002)
Radical Cartesianism: The French Reception of Descartes (/isis/citation/CBB000302043/)

Article Palmieri, Paolo; (2001)
The Obscurity of the Equimultiples: Clavius' and Galileo's Foundational Studies of Euclid's Theory of Proportions (/isis/citation/CBB000101288/)

Article Wardhaugh, Benjamin; (2008)
Musical Logarithms in the Seventeenth Century: Descartes, Mercator, Newton (/isis/citation/CBB000774155/)

Book Masini, Federico; (1996)
Western humanistic culture presented to China by Jesuit missionaries (XVII-XVIII centuries): Proceedings of the conference held in Rome, October 25-27, 1993 (/isis/citation/CBB000078913/)

Article Valente, Maria Rosa; (1993)
Il concetto di limite nella scuola di Anversa: Gregorio di San Vincenzo e André Tacquet (/isis/citation/CBB000052624/)

Article Vanpaemel, G.; (1984)
Rohault's Traité de physique and the teaching of Cartesian physics (/isis/citation/CBB000048933/)

Article Palladino, Franco; (1991)
Sulla teoria delle proporzioni nel Seicento: Due “macchinazioni” notevoli: Le sezioni dei razionali del galileiano G.A. Borelli, Le classi di misure del gesuita A. Tacquet (/isis/citation/CBB000040940/)

Article Nuchelmans, Gabriel; (1992)
A 17th-century debate on the consequentia mirabilis (/isis/citation/CBB000058830/)

Chapter Peterschmitt, Luc; (2007)
The Cartesians and Chemistry: Cordemoy, Rohault, Régis (/isis/citation/CBB000773494/)

Article Mihnea Dobre; (2020)
Jacques Rohault’s Mathematical Physics (/isis/citation/CBB922054924/)

Article Aaron Spink; (2018)
The Experimental Physics of Jacques Rohault (/isis/citation/CBB768305096/)

Article McClaughlin, Trevor; Picolet, Guy; (1976)
Un exemple d'utilisation du Minutier central de Paris: La bibliothèque et les instruments scientifiques du physicien Jacques Rouhault selon son inventaire après décès (/isis/citation/CBB000002123/)

Article Rossi, Corinna; Tout, Christopher A.; (2002)
Were the Fibonacci Series and the Golden Section Known in Ancient Egypt? (/isis/citation/CBB000200281/)

Book Rommevaux, S.; Vendrix, P.; Zara, V.; (2011)
Proportions. Science, musique, peinture et architecture (/isis/citation/CBB001211955/)

Comments

{{ comment.created_by.username }} on {{ comment.created_on | date:'medium' }}