Article ID: CBB651102776

The Debate Between Peletier and Clavius on Superposition (2018)

unapi

This article considers the sixteenth-century debate between Jacques Peletier du Mans and Christoph Clavius over the admissibility of superposition as a means to demonstrate the equality of figures in Euclidean geometry. It notably aims to determine, in the first part, which understanding of superposition motivated its rejection by Peletier, especially whether and to which extent his critical position towards this method was related to its kinematic implications. In the second part, the article presents the critical response Clavius addressed to Peletier in order to defend the legitimacy of superposition in Euclid's Elements. Résumé Cet article traite du débat qui a pris place au seizième siècle entre Jacques Peletier du Mans et Christoph Clavius concernant la légitimité de la superposition comme mode de démontration de l'égalité des figures dans la géométrie euclidienne. Il s'agit notamment de considérer de plus près l'interprétation de la superposition de Peletier et les motifs qui l'ont poussé à rejeter cette méthode, cherchant à déterminer si et dans quelle mesure ce rejet est lié à ses implications cinématiques. L'article considère, dans un second temps, la défense de la superposition par Clavius en réponse aux critiques de Peletier.

...More
Citation URI
https://data.isiscb.org/isis/citation/CBB651102776/

Similar Citations

Book Angela Axworthy; (2022)
Motion and Genetic Definitions in the Sixteenth-Century Euclidean Tradition (/isis/citation/CBB327704584/)

Article Camerota, Filippo; (2006)
Teaching Euclid in a Practical Context: Linear Perspective and Practical Geometry (/isis/citation/CBB000671073/)

Article Virginia Iommi Echeverría; (2016)
Copernicus and the Problem of Elemental Proportion in Renaissance Cosmology (/isis/citation/CBB912586648/)

Article Johnston, Stephen; (2012)
John Dee on Geometry: Texts, Teaching and the Euclidean Tradition (/isis/citation/CBB001251143/)

Book Rommevaux, Sabine; (2005)
Clavius: Une clé pour Euclide au XVIe siècle (/isis/citation/CBB000740223/)

Article Gonçalves, Carlos Henrique Barbosa; Oliveira, Zaqueu Vieira; (2007)
Geometria, Reforma e Contra-Reforma na Carta de 1 de julho de 1597, de Adriaan van Roomen para Clavius (/isis/citation/CBB000850100/)

Book Agustín Udías; (2014)
Jesuit Contribution to Science: A History (/isis/citation/CBB032367683/)

Article Helbert E. Velilla-Jiménez; (2022)
Francisco Sánchez and the Quaestio de certitudine mathematicarum: A sceptical approach (/isis/citation/CBB323676635/)

Article Knobloch, Eberhard; (2002)
La connaissance des mathématiques arabes par Clavius (/isis/citation/CBB000202561/)

Authors & Contributors
Helbert E. Velilla-Jiménez
Lee, Eunsoo
Joaquín Guerola Olivares
Udías, Agustín
Smolarski, Dennis C.
Rommevaux, Sabine
Concepts
Mathematics
Geometry
Philosophy of mathematics
Arab/Islamic world, civilization and culture
Astronomy
Science education and teaching
Time Periods
16th century
Renaissance
17th century
18th century
Medieval
Enlightenment
Places
Europe
England
Mediterranean region
Italy
France
Institutions
Jesuits (Society of Jesus)
Comments

Be the first to comment!

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

Log in or register to comment