Chapter 3: Hebrew Text

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Ruth Glasner Avinoam Baraness

Alfonso’s Rectifying the Curved A Fourteenth-Century Hebrew Geometrical-Philosophical Treatise

Sources and Studies in the History of Mathematics and Physical Sciences

Managing Editor Jed Z. Buchwald Associate Editors A. Jones J. Lützen J. Renn Advisory Board C. Fraser T. Sauer A. Shapiro

Sources and Studies in the History of Mathematics and Physical Sciences was inaugurated as two series in 1975 with the publication in Studies of Otto Neugebauer's seminal three-volume History of Ancient Mathematical Astronomy, which remains the central history of the subject. This publication was followed the next year in Sources by Gerald Toomer's transcription, translation (from the Arabic), and commentary of Diocles on Burning Mirrors. The two series were eventually amalgamated under a single editorial board led originally by Martin Klein (d. 2009) and Gerald Toomer, respectively two of the foremost historians of modern and ancient physical science. The goal of the joint series, as of its two predecessors, is to publish probing histories and thorough editions of technical developments in mathematics and physics, broadly construed. Its scope covers all relevant work from pre-classical antiquity through the last century, ranging from Babylonian mathematics to the scientific correspondence of H. A. Lorentz. Books in this series will interest scholars in the history of mathematics and physics, mathematicians, physicists, engineers, and anyone who seeks to understand the historical underpinnings of the modern physical sciences. All works are reviewed to meet the highest standards of scientific literature. More information about this series at http://www.springer.com/series/4142

Ruth Glasner • Avinoam Baraness

Alfonso’s Rectifying the Curved ​ Fourteenth-Century Hebrew A Geometrical-­Philosophical Treatise

Ruth Glasner The Faculty of Humanities Hebrew University of Jerusalem Jerusalem, Jerusalem, Israel

Avinoam Baraness The Faculty of Humanities Hebrew University of Jerusalem Jerusalem, Jerusalem, Israel

ISSN 2196-8810     ISSN 2196-8829 (electronic) Sources and Studies in the History of Mathematics and Physical Sciences ISBN 978-3-319-77302-5    ISBN 978-3-319-77303-2 (eBook) https://doi.org/10.1007/978-3-319-77303-2 Mathematics Subject Classification (2010): 01A05, 01A35, 01A30 © Springer Nature Switzerland AG 2021 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. From SOURCEBOOK IN THE MATHEMATICS OF MEDIEVAL EUROPE AND NORTH AFRICA ed. by Victor J. Katz, Menso Folkerts, Barnabas Hughes, Roi Wagner, and J. Lennart Berggren. Copyright © 2016 by Princeton University Press. Reprinted by