Sources and Studies in the History of Mathematics and Physical Sciences

Edmond Halley’s Reconstruction of the Lost Book of Apollonius’s Conics

Translation and Commentary

Authors: Fried, Michael N.

  • Presents the first complete English translation of Edmond Halley's historic reconstruction of book VIII of Apollonius's Conics
  • Serves as an invaluable companion volume to existing literature on the subject
  • Will be an asset to any researcher studying the mathematics of ancient Greece
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eBook $109.00
price for USA (gross)
  • ISBN 978-1-4614-0146-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.00
price for USA
  • ISBN 978-1-4614-0145-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $139.00
price for USA
  • ISBN 978-1-4614-2987-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
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About this book

Apollonius’s Conics was one of the greatest works of advanced mathematics in antiquity.  The work comprised eight books, of which four have come down to us in their original Greek and three in Arabic.  By the time the Arabic translations were produced, the eighth book had already been lost. In 1710, Edmond Halley, then Savilian Professor of Geometry at Oxford, produced an edition of the Greek text of the Conics of Books I-IV, a translation into Latin from the Arabic versions of Books V-VII, and a reconstruction of Book VIII.  

The present work provides the first complete English translation of Halley’s reconstruction of Book VIII with supplementary notes on the text.  It also contains 1) an introduction discussing aspects of Apollonius’s Conics 2) an investigation of Edmond Halley's understanding of the nature of his venture into ancient mathematics, and 3) an appendices giving a brief account of Apollonius’s approach to conic sections and his mathematical techniques.

This book will be of interest to students and researchers interested in the history of ancient Greek mathematics and mathematics in the early modern period.

Table of contents (8 chapters)

  • Chapter 1 Edmond Halley: Ancient and Modern

    Fried, Michael N.

    Pages 3-6

  • Chapter 2 Apollonius’s Conics

    Fried, Michael N.

    Pages 7-11

  • Chapter 3 The Path to Halley

    Fried, Michael N.

    Pages 13-15

  • Chapter 4 Halley’s General Strategy for Reconstructing Conics, Book VIII

    Fried, Michael N.

    Pages 17-21

  • Chapter 5 Halley’s Dialogue with the Past

    Fried, Michael N.

    Pages 23-31

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-1-4614-0146-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.00
price for USA
  • ISBN 978-1-4614-0145-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $139.00
price for USA
  • ISBN 978-1-4614-2987-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Edmond Halley’s Reconstruction of the Lost Book of Apollonius’s Conics
Book Subtitle
Translation and Commentary
Authors
Series Title
Sources and Studies in the History of Mathematics and Physical Sciences
Copyright
2012
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media, LLC
eBook ISBN
978-1-4614-0146-9
DOI
10.1007/978-1-4614-0146-9
Hardcover ISBN
978-1-4614-0145-2
Softcover ISBN
978-1-4614-2987-6
Series ISSN
2196-8810
Edition Number
1
Number of Pages
X, 134
Topics