Edmond Halley s reconstruction of the lost book of Apollonius s Conics : translation and commentary

Apollonius's Conics was one of the greatest works of advanced mathematics in antiquity.  The work comprised eight books, four of which 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...

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Autore principale: Fried, Michael N., 1960-
Natura: Livre numérique
Lingua:Anglais
Pubblicazione: New York, NY : Springer New York [20..].
Cham : Springer Nature
Edizione:1st ed. 2012.
Serie:Sources and Studies in the History of Mathematics and Physical Sciences
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Accesso online:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
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Nota: Description d'après consultation du 21 mai 2012
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Edmond Halley's Reconstruction of the Lost Book of Apollonius's Conics, Texte imprimé, 9781461429876
• Edmond Halley's reconstruction of the lost book of Apollonius's Conics, translation and commentary, Michael N. Fried, New York, Springer, 2011, 1 vol. (X-132 p.), Sources and studies in the history of mathematics and physical sciences, 978-1-461-40145-2
• Edmond Halley's Reconstruction of the Lost Book of Apollonius's Conics, Texte imprimé, 9781461401476
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504 |a Bibliogr. p. 127-129. Index p. 130-131 
505 1 |a 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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520 |a Apollonius's Conics was one of the greatest works of advanced mathematics in antiquity.  The work comprised eight books, four of which 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.   Motivated by such questions as what role did Halley's reconstruction play in the mathematical world of the late 17th and early 18th century? and what did Halley see himself learning from engaging with mathematicians such as Apollonius?, Michael Fried's work provides the first complete English translation of Halley's reconstruction of Book VIII with supplementary notes on the text.  The volume also contains an introduction discussing aspects of Apollonius's Conics, an investigation of Edmond Halley's understanding of the nature of his venture into ancient mathematics, and appendices giving brief accounts of Apollonius's approach to conic sections and his mathematical techniques. This book will be of great interest to students and researchers interested in the history of ancient Greek mathematics and mathematics in the early modern period. . 
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