The debate between Peletier and Clavius on superposition

DOI10.1016/j.hm.2017.09.004zbMath1397.01009OpenAlexW2766727869MaRDI QIDQ1708441

Angela Axworthy

Publication date: 23 March 2018

Published in: Historia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.hm.2017.09.004

zbMATH Keywords

superpositiongeometrical proceduresRenaissance epistemology of geometrysixteenth-century Euclidean tradition

Mathematics Subject Classification ID

History of mathematics in the 15th and 16th centuries, Renaissance (01A40)

Related Items (2)

Operationalism: an interpretation of the philosophy of ancient Greek geometry ⋮ Uses of construction in problems and theorems in Euclid's \textit{Elements} I--VI

Cites Work

• The development of Euclidean axiomatics. The systems of principles and the foundations of mathematics in editions of the \textit{Elements} in the early modern age
• Rethinking geometrical exactness
• Apollonius of Perga, Conics. Volume 4: Books VI, VII. Greek and Arabic text established, translated and annotated under the direction of Roshdi Rashed. Historical and mathematical commentary, edition and translation of the Arabic text by Rashed
• Viète's controversy with Clavius over the truly Gregorian calendar
• The role of geometrical construction in Theodosius's \textit{Spherics}
• Superposition: on Cavalieri's practice of mathematics
• On the Gregorian revision of the Julian calendar
• Shifting the foundations: Descartes's transformation of ancient geometry
• Euclid's intended interpretation of superposition
• The concept of existence and the role of constructions in Euclid's \textit{Elements}
• Christoph Clavius' ``Ordo servandus in addiscendis disciplinis mathematicis and the teaching of mathematics in Jesuit Colleges at the beginning of the modern era
• The historical development of group theoretical ideas in connection with Euclid's axiom of congruence
• The Works of Archimedes
• The Jesuit Ratio Studiorum, Christopher Clavius, and the Study of Mathematical Sciences in Universities
• The Algebraic Art of Discourse Algebraic Dispositio, Invention and Imitation in Sixteenth-Century France
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