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Euclides Graeco-latinus

Euclides Graeco-latinus
Author: John Emery Murdoch
Publisher:
Total Pages: 54
Release: 1966
Genre:
ISBN:

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Encounters with Euclid

Encounters with Euclid
Author: Benjamin Wardhaugh
Publisher: Princeton University Press
Total Pages: 416
Release: 2023-11-14
Genre: Mathematics
ISBN: 0691235767

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A sweeping cultural history of one of the most influential mathematical books ever written Euclid's Elements of Geometry is one of the fountainheads of mathematics—and of culture. Written around 300 BCE, it has traveled widely across the centuries, generating countless new ideas and inspiring such figures as Isaac Newton, Bertrand Russell, Abraham Lincoln, and Albert Einstein. Encounters with Euclid tells the story of this incomparable mathematical masterpiece, taking readers from its origins in the ancient world to its continuing influence today. In this lively and informative book, Benjamin Wardhaugh explains how Euclid’s text journeyed from antiquity to the Renaissance, introducing some of the many readers, copyists, and editors who left their mark on the Elements before handing it on. He shows how some read the book as a work of philosophy, while others viewed it as a practical guide to life. He examines the many different contexts in which Euclid's book and his geometry were put to use, from the Neoplatonic school at Athens and the artisans' studios of medieval Baghdad to the Jesuit mission in China and the workshops of Restoration London. Wardhaugh shows how the Elements inspired ideas in theology, art, and music, and how the book has acquired new relevance to the strange geometries of dark matter and curved space. Encounters with Euclid traces the life and afterlives of one of the most remarkable works of mathematics ever written, revealing its lasting role in the timeless search for order and reason in an unruly world.


The Commentary of al-Nayrizi on Book I of Euclid's Elements of Geometry

The Commentary of al-Nayrizi on Book I of Euclid's Elements of Geometry
Author: Anthony Lo Bello
Publisher: BRILL
Total Pages: 281
Release: 2021-10-25
Genre: Science
ISBN: 9004453644

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For more than two millennia, the Elements of Geometry by the Greek mathematician Euclid of Alexandria (ca. 300 B.C.E. ) was held to be “the supreme example of the exercise of human reason” and “a paradigm of rational certainty” (from the preface, after Simon Blackburn). The Commentary of al-Nayrizi on Book I of Euclid’s Elements of Geometry introduces readers to the transmission of Euclid’s Elements from the Middle East to the Latin West in the medieval period and then offers the first English translation of al-Nayrizi’s (d. ca. 922) Arabic commentary on Book I. The Three Volumes are also available as set (ISBN 0 391 04197 5)


The Development of Mathematics in Medieval Europe

The Development of Mathematics in Medieval Europe
Author: Menso Folkerts
Publisher: Taylor & Francis
Total Pages: 355
Release: 2024-10-28
Genre: History
ISBN: 1040236693

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The Development of Mathematics in Medieval Europe complements the previous collection of articles by Menso Folkerts, Essays on Early Medieval Mathematics, and deals with the development of mathematics in Europe from the 12th century to about 1500. In the 12th century European learning was greatly transformed by translations from Arabic into Latin. Such translations in the field of mathematics and their influence are here described and analysed, notably al-Khwarizmi's "Arithmetic" -- through which Europe became acquainted with the Hindu-Arabic numerals -- and Euclid's "Elements". Five articles are dedicated to Johannes Regiomontanus, perhaps the most original mathematician of the 15th century, and to his discoveries in trigonometry, algebra and other fields. The knowledge and application of Euclid's "Elements" in 13th- and 15th-century Italy are discussed in three studies, while the last article treats the development of algebra in South Germany around 1500, where much of the modern symbolism used in algebra was developed.


Renaissance and Renewal in the Twelfth Century

Renaissance and Renewal in the Twelfth Century
Author: Robert L. Benson
Publisher: University of Toronto Press
Total Pages: 1434
Release: 1991-01-01
Genre: Social Science
ISBN: 9780802068507

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Twenty-seven authors approach the diverse areas of the cultural, religious, and social life of the twelfth century. These essays form a basic resource for all interested in this pivotal century. A reprint of the first edition first published in 1982.


Euclid in Greek

Euclid in Greek
Author: Euclid
Publisher: CUP Archive
Total Pages: 264
Release: 1920
Genre: Euclid's Elements
ISBN:

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Gerard of Cremona’s Translation of the Commentary of al-Nayrizi on Book I of Euclid’s Elements of Geometry

Gerard of Cremona’s Translation of the Commentary of al-Nayrizi on Book I of Euclid’s Elements of Geometry
Author: Anthony Lo Bello
Publisher: BRILL
Total Pages: 203
Release: 2021-08-04
Genre: Philosophy
ISBN: 9004453652

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This book provides an annotated English translation of Gerard of Cremona’s Latin version of Book I of al-Nayrizi's Commentary on Euclid’s Elements. Lo Bello concludes with a critical analysis of the idiosyncrasies of Gerard’s method of translation.


Texts and Contexts in Ancient and Medieval Science

Texts and Contexts in Ancient and Medieval Science
Author: John Emery Murdoch
Publisher: BRILL
Total Pages: 380
Release: 1997
Genre: Science
ISBN: 9789004108233

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Written in honor of John E. Murdoch's seventieth birthday, the essays collected here focus on the interpretation of ancient and scientific texts not just as isolated intellectual productions but as responses to particular settings or contexts.


Textual Studies in Ancient and Medieval Geometry

Textual Studies in Ancient and Medieval Geometry
Author: W.R. Knorr
Publisher: Springer Science & Business Media
Total Pages: 850
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461236908

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For textual studies relating to the ancient mathematical corpus the efforts by the Danish philologist, 1. L. Heiberg (1854-1928), are especially significant. Beginning with his doctoral dissertation, Quaestiones Archimedeae (Copen hagen, 1879), Heiberg produced an astonishing series of editions and critical studies that remain the foundation of scholarship on Greek mathematical 4 science. For comprehensiveness and accuracy, his editions are exemplary. In his textual studies, as also in the prolegomena to his editions, he carefully described the extant evidence, organized the manuscripts into stemmata, and drew out the implications for the state of the text. 5 With regard to his Archimedean work, Heiberg sometimes betrayed signs of the philologist's occupational disease - the tendency to rewrite a text deemed on subjective grounds to be unworthy. 6 But he did so less often than his prominent 7 contemporaries, and not as to detract appreciably from the value of his editions. In examining textual questions bearing on the Archimedean corpus, he attempted to exploit as much as possible evidence from the ancient commentators, and in some instances from the medieval translations. It is here that opportunities abound for new work, extending, and in some instances superseding, Heiberg's findings. For at his time the availability of the medieval materials was limited. In recent years Marshall Clagett has completed a mammoth critical edition of the medieval Latin tradition of Archimedes,8 while the bibliographical instruments for the Arabic tradition are in good order thanks to the work of Fuat Sezgin.


Science in the Middle Ages

Science in the Middle Ages
Author: David C. Lindberg
Publisher: University of Chicago Press
Total Pages: 566
Release: 1978
Genre: Science
ISBN: 0226482332

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In this book, sixteen leading scholars address themselves to providing as full an account of medieval science as current knowledge permits. Designed to be introductory, the authors have directed their chapters to a beginning audience of diverse readers.