Edmond Halley’s Reconstruction of the Lost Book of Apollonius’s Conics: Translation and Commentary

Author:   Michael N. Fried
Publisher:   Springer-Verlag New York Inc.
Edition:   2012 ed.
ISBN:  

9781461429876


Pages:   134
Publication Date:   27 October 2013
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Edmond Halley’s Reconstruction of the Lost Book of Apollonius’s Conics: Translation and Commentary


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Overview

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.

Full Product Details

Author:   Michael N. Fried
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2012 ed.
Dimensions:   Width: 15.50cm , Height: 0.80cm , Length: 23.50cm
Weight:   0.454kg
ISBN:  

9781461429876


ISBN 10:   1461429870
Pages:   134
Publication Date:   27 October 2013
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

I. Introduction.- 1. Edmond Halley: Ancient and Modern.- 2. Apollonius’s Conics.- 3. The Path to Halley.- 4. Halley's General Strategy for Reconstructing Conics, Book VIII.- 5. Halley’s Dialogue with the Past.-6. A Note on the Translation-II. Apollonius of Perga’s On Conics: Book Eight Restored.- III.Synopsis and Appendices.-Synopsis of the Contents of Halley's Conics, Book VIII.-Appendix 1: Terminology and Notions from Greek Mathematics.-Appendix 2: Hippocrates' First Quadrature of a Lune.-References.-Index.

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