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

DOI10.1007/s00407-015-0173-9zbMath1355.01007OpenAlexW2280487768WikidataQ41459433 ScholiaQ41459433MaRDI QIDQ343827

Vincenzo De Risi

Publication date: 29 November 2016

Published in: Archive for History of Exact Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00407-015-0173-9

zbMATH Keywords

axiomsearly modern ageEuclidparallel postulatePasch

Mathematics Subject Classification ID

History of mathematics in the 18th century (01A50) History of mathematics in the 15th and 16th centuries, Renaissance (01A40) History of mathematics in the 17th century (01A45) History of Greek and Roman mathematics (01A20)

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Cites Work

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• Jordanus de Nemore, 13th century mathematical innovator: an essay on intellectual context, achievement, and failure
• An examination of Bradwardine's Geometry
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• Robert of Chester's (?) redaction of Euclid's Elements, the so-called Adelard II version. Vol. II
• On the stepwise construction of the parallel postulate
• Remarks on the history of the text of Euclid's Elements
• Mathematizing space. The objects of geometry from antiquity to the early modern age. Collected essays based on the presentations at the conference on space, geometry and the imagination from antiquity to the early modern age, Berlin, Germany, August 27--29, 2012
• Leibniz on the parallel postulate and the foundations of geometry. The unpublished manuscripts
• Geometry and monadology. Leibniz's \textit{analysis situs} and philosophy of space
• Old and New Results in the Foundations of Elementary Plane Euclidean and Non-Euclidean Geometries
• John of TynemouthaliasJohn of London: emerging portrait of a singular medieval mathematician
• Observations on Hermann of Carinthia's Version of the Elements and its Relation to the Arabic Transmission
• La Ramée critique d’Euclide. Sur le Prooemium mathematicum (1567)
• Analysis and synthesis in John Playfair's Elements of Geometry
• Two comments on Euclid's Elements ? On the relation between the Arabic text attributed to al-Nayrızı and the Latin text ascribed to Anaritius
• The Wrong Text of Euclid: On Heiberg's Text and its Alternatives
• Axioms in Mathematical Practice
• ‘Much necessary for all sortes of men’: 450 years of Euclid'sElementsin English
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