Situating the Debate on “Geometrical Algebra” within the Framework of Premodern Algebra

DOI10.1017/S0269889715000411zbMath1379.01006OpenAlexW2363550520WikidataQ50647800 ScholiaQ50647800MaRDI QIDQ4593277

Michalis Sialaros, Jean Christianidis

Publication date: 22 November 2017

Published in: Science in Context (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0269889715000411

zbMATH Keywords

geometrical algebra

Mathematics Subject Classification ID

History of Greek and Roman mathematics (01A20)

Related Items (2)

Uses of construction in problems and theorems in Euclid's \textit{Elements} I--VI ⋮ Tracing the early history of algebra: testimonies on Diophantus in the Greek-speaking world (4th--7th century CE)

Uses Software

• DRaFT

Cites Work

• Geometry and arithmetic in the medieval traditions of Euclid's \textit{Elements}: a view from Book II
• Practicing algebra in Late Antiquity: the problem-solving of Diophantus of Alexandria
• Numbers, magnitudes, ratios, and proportions in Euclid's \textit{Elements}: How did he handle them?
• History of Greek mathematics: a survey of recent research
• Simplifying equations in Arabic algebra
• Medieval Arabic algebra as an artificial language
• Polynomials and equations in Arabic algebra
• Book II of Euclid's elements and a pre-Eudoxan theory of ratio
• Book II of Euclid's Elements and a pre-Eudoxan theory of ratio. II. Sides and diameters
• 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)
• The fifth award of the Kenneth O. May medal and prize
• The Commentary of al-Nayrizi on Books II-IV of Euclid's <i>Elements of Geometry</i>
• Ancient Rhetoric and Greek Mathematics: A Response to a Modern Historiographical Dilemma
• History of Ancient Mathematics--Some Reflections on the State of the Art
• A Critique of the Modern Consensus in the Historiography of Mathematics
• The Discipline of History and the “Modern Consensus in the Historiography of Mathematics”
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