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Pappus of Alexandria Book 7 of the Collection

Part 1. Introduction, Text, and Translation

  • Alexander Jones

Part of the Sources in the History of Mathematics and Physical Sciences book series (SOURCES, volume 8)

Table of contents

  1. Front Matter
    Pages i-x
  2. Part 1

    1. Front Matter
      Pages xi-xi
    2. Alexander Jones
      Pages 1-65
    3. Alexander Jones
      Pages 66-74
    4. Alexander Jones
      Pages 75-78
    5. Alexander Jones
      Pages 79-80
  3. Text and Translation

    1. Front Matter
      Pages 81-81
    2. Alexander Jones
      Pages 82-375
  4. Back Matter
    Pages 377-377

About this book

Introduction

The seventh book of Pappus's Collection, his commentary on the Domain (or Treasury) of Analysis, figures prominently in the history of both ancient and modern mathematics: as our chief source of information concerning several lost works of the Greek geometers Euclid and Apollonius, and as a book that inspired later mathematicians, among them Viete, Newton, and Chasles, to original discoveries in their pursuit of the lost science of antiquity. This presentation of it is concerned solely with recovering what can be learned from Pappus about Greek mathematics. The main part of it comprises a new edition of Book 7; a literal translation; and a commentary on textual, historical, and mathematical aspects of the book. It proved to be convenient to divide the commentary into two parts, the notes to the text and translation, and essays about the lost works that Pappus discusses. The first function of an edition of this kind is, not to expose new discoveries, but to present a reliable text and organize the accumulated knowledge about it for the reader's convenience. Nevertheless there are novelties here. The text is based on a fresh transcription of Vat. gr. 218, the archetype of all extant manuscripts, and in it I have adopted numerous readings, on manuscript authority or by emendation, that differ from those of the old edition of Hultsch. Moreover, many difficult parts of the work have received little or no commentary hitherto.

Keywords

Apollonius History of Mathematics Isaac Newton calculus function mathematics

Editors and affiliations

  • Alexander Jones
    • 1
  1. 1.VancouverCanada

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-4908-5
  • Copyright Information Springer Science+Business Media New York 1986
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-9355-2
  • Online ISBN 978-1-4612-4908-5
  • Series Print ISSN 0172-6315
  • Buy this book on publisher's site