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
Book
Angela Axworthy;
(2022)
Motion and Genetic Definitions in the Sixteenth-Century Euclidean Tradition
(/isis/citation/CBB327704584/)
Article
Brioist, Pascal;
(2009)
“Familiar Demonstrations in Geometry”: French and Italian Engineers and Euclid in the Sixteenth Century
(/isis/citation/CBB000931545/)
Article
Palmieri, Paolo;
(2001)
The Obscurity of the Equimultiples: Clavius' and Galileo's Foundational Studies of Euclid's Theory of Proportions
(/isis/citation/CBB000101288/)
Chapter
Luigi Maierù;
(2012)
L'héritage arabe sur le problème des parallèles: un patrimoine culturel des Christoph Clavius (1589) à Gerolamo Saccheri (1733)
(/isis/citation/CBB536552867/)
Article
Claessens, Guy;
(2009)
Clavius, Proclus, and the Limits of Interpretation: Snapshot-Idealization versus Projectionism
(/isis/citation/CBB000952870/)
Article
Eunsoo Lee;
(2018)
Let the Diagram Speak: Compass Arcs and Visual Auxiliaries in Printed Diagrams of Euclid’s Elements
(/isis/citation/CBB251198802/)
Article
Barany, Michael J.;
(2012)
“That small and unsensible shape”: Visual Representations of the Euclidean Point in Sixteenth-Century Print
(/isis/citation/CBB001212091/)
Article
Goldstein, Joel A.;
(2000)
A Matter of Great Magnitude: The Conflict over Arithmetization in 16th-, 17th-, and 18th-Century English Editions of Euclid's Elements Books I Through VI (1561-1795)
(/isis/citation/CBB000110930/)
Article
Camerota, Filippo;
(2006)
Teaching Euclid in a Practical Context: Linear Perspective and Practical Geometry
(/isis/citation/CBB000671073/)
Article
Edelheit, Amos;
(2009)
Francesco Patrizi's Two Books on Space: Geometry, Mathematics, and Dialectic beyond Aristotelian Science
(/isis/citation/CBB000932499/)
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
Smolarski, Dennis C.;
(2002)
The Jesuit Ratio Studiorum, Christopher Clavius, and the Study of Mathematical Sciences in Universities
(/isis/citation/CBB000430020/)
Article
Helbert E. Velilla-Jiménez;
(2022)
Francisco Sánchez and the Quaestio de certitudine mathematicarum: A sceptical approach
(/isis/citation/CBB323676635/)
Article
Joaquín Guerola Olivares;
(2022)
Clavius, Pitiscus y la primera demostración del teorema del coseno para los lados de un triángulo esférico cualquiera
(/isis/citation/CBB055471330/)
Article
Knobloch, Eberhard;
(2002)
La connaissance des mathématiques arabes par Clavius
(/isis/citation/CBB000202561/)
Article
Gatto, Romano;
(2006)
Christoph Clavius' “Ordo Servandus in Addiscendis Disciplinis Mathematicis” and the Teaching of Mathematics in Jesuit Colleges at the Beginning of the Modern Era
(/isis/citation/CBB000671069/)
Be the first to comment!