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Textual Studies in Ancient and Medieval Geometry

  • Wilbur Richard Knorr

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Introduction: Philologist, Heal Thy Text

    1. Wilbur Richard Knorr
      Pages 1-8
  3. Ancient Texts on Geometric Problems

    1. Front Matter
      Pages 9-9
    2. Wilbur Richard Knorr
      Pages 11-28
    3. Wilbur Richard Knorr
      Pages 29-40
    4. Wilbur Richard Knorr
      Pages 41-61
    5. Wilbur Richard Knorr
      Pages 63-76
    6. Wilbur Richard Knorr
      Pages 77-129
    7. Wilbur Richard Knorr
      Pages 155-211
    8. Wilbur Richard Knorr
      Pages 213-224
  4. Arabic Geometric Texts and Their Ancient Sources

    1. Front Matter
      Pages 247-249
    2. Wilbur Richard Knorr
      Pages 251-265
    3. Wilbur Richard Knorr
      Pages 267-275
    4. Wilbur Richard Knorr
      Pages 277-291
    5. Wilbur Richard Knorr
      Pages 293-300
  5. The Textual Tradition of Archimedes’

    1. Front Matter
      Pages 373-373
    2. Wilbur Richard Knorr
      Pages 375-400
    3. Wilbur Richard Knorr
      Pages 477-494
    4. Wilbur Richard Knorr
      Pages 495-512
    5. Wilbur Richard Knorr
      Pages 513-534
    6. Wilbur Richard Knorr
      Pages 535-594
    7. Wilbur Richard Knorr
      Pages 595-615
    8. Wilbur Richard Knorr
      Pages 617-688
    9. Wilbur Richard Knorr
      Pages 689-751
    10. Wilbur Richard Knorr
      Pages 753-804
    11. Wilbur Richard Knorr
      Pages 805-816
  6. Back Matter
    Pages 817-852

About this book

Introduction

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.

Keywords

Apollonius Banu Musa History of Mathematics cls proposition

Authors and affiliations

  • Wilbur Richard Knorr
    • 1
  1. 1.Program in the History of ScienceStanford UniversityStanfordUSA

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