Geometry and arithmetic in the medieval traditions of Euclid's \textit{Elements}: a view from Book II

DOI10.1007/s00407-013-0121-5zbMath1278.01003OpenAlexW1965974372MaRDI QIDQ376055

Leo Corry

Publication date: 1 November 2013

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

Full work available at URL: https://doi.org/10.1007/s00407-013-0121-5

Mathematics Subject Classification ID

History of mathematics in the Golden Age of Islam (01A30) History of mathematics in Late Antiquity and medieval Europe (01A35) History of mathematics in the 15th and 16th centuries, Renaissance (01A40) History of Greek and Roman mathematics (01A20)

Related Items (9)

Gregory's sixth operation ⋮ The \textit{Liber restauracionis}: a newly discovered copy of a mediæval algebra in Florence ⋮ Some distributivity-like results in the medieval arithmetic of Jordanus Nemorarius and Campanus de Novara ⋮ Uses of construction in problems and theorems in Euclid's \textit{Elements} I--VI ⋮ Situating the Debate on “Geometrical Algebra” within the Framework of Premodern Algebra ⋮ On fluidity of the textual transmission in Abraham bar Ḥiyya's \textit{Ḥibbur ha-Meshiḥah ve-ha-Tishboret} ⋮ Bridging the gap between analytic and synthetic geometry: Hilbert's axiomatic approach ⋮ Pentagons in medieval sources and architecture ⋮ David Hilbert and the foundations of the theory of plane area

Uses Software

• DRaFT

Cites Work

• Defending Hypatia. Ramus, Savile, and the Renaissance rediscovery of mathematical history
• Fibonacci's De Practica Geometrie
• Jordanus de Nemore, 13th century mathematical innovator: an essay on intellectual context, achievement, and failure
• On the need to rewrite the history of Greek mathematics
• Defence of a 'shocking' point of view
• What is algebra and what has it been in history?
• Who betrayed Euclid? (Extract from a letter to the editor)
• Textual documents and hypotheses with regard to the Arabic Euclid in al-Ḥağğāğ b. Yūsuf b. Maṭar (between 786 and 833)
• Robert of Chester's (?) redaction of Euclid's Elements, the so-called Adelard II version. Vol. II
• The missing problems of Gersonides -- A critical edition. I
• On alternative proofs and other substitutions of proofs in Euclid's \textit{Elements}
• Remarks on the history of the text of Euclid's Elements
• Rabbi Levi ben Gershon and the origins of mathematical induction
• The Commentary of al-Nayrizi on Books II-IV of Euclid's <i>Elements of Geometry</i>
• Zionist Internationalism through Number Theory: Edmund Landau at the Opening of the Hebrew University in 1925
• Observations on Hermann of Carinthia's Version of the Elements and its Relation to the Arabic Transmission
• On a Collection of Geometrical Riddles and their Role in the Shaping of Four to Six “Algebras”
• Survivance médiévale en Hispanie 'un problème né en Mésopotamie
• 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 missing problems of Gersonides -- A critical edition. II
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