Edmond Halleys Reconstruction of the Lost Book of Apolloniuss Conics.pdf

Edmond Halleys Reconstruction of the Lost Book of Apolloniuss Conics PDF

Michael N. Fried

Apolloniuss 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 Halleys reconstruction of Book VIII with supplementary notes on the text. It also contains 1) an introduction discussing aspects of Apolloniuss Conics 2) an investigation of Edmond Halleys understanding of the nature of his venture into ancient mathematics, and 3) an appendices giving a brief account of Apolloniuss 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.

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1461429870 ISBN
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Edmond Halleys Reconstruction of the Lost Book of Apolloniuss Conics.pdf


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Aktuelle Bewertungen

Sofia Voigt

Fried, Edmond Halley's Reconstruction of the Lost Book of Apollonius's Conics: Translation and Commentary, Springer, New York, 2011. Enrique A. González- ... 2019年12月25日 ... 阿波罗尼奥斯最重要的著作是《圆锥曲线论》 (Treatise on Conic ... 评注者之中, 包括了著名英国天文学家爱德蒙·哈雷(Edmond Halley)。 ... M. N. Fried, Edmond Halley's Reconstruction of the Lost Book of Apollonius's Conics, ...

Matteo Müller

Translating a Work of Higher Mathematics | … The first page of Edmond Halley’s reconstruction of the lost eighth book of Apollonius’ Conics (Apollonii pergaei conicorum libri octo [Oxoniae: e Theatro Sheldoniano, 1710], p. 137) The difficulty of the Conics, however, meant that it was little studied in Greco-Roman antiquity, and the only Greek version of the text that survives is an edition of the first four books made by …

Noel Schulze

written by Eudenus, a pupilof Aristotle, has been lost. It was well known ... like a theorem, nor to effect a construction, like a problem, but to find ... Apollonius claimed to have invented the conic sections, but ... The eighth book, as restored by Halley, continues the sub ... the direction, and at the expense, of Dr. Edmund Halley. 8 Nov 2019 ... Edmond Halley Edmond[1] (or Edmund[2]) Halley, FRS ([3][4] 8 November ... Halley's Reconstruction of the Lost Book of Apollonius's Conics: ...

Jason Lehmann

Apollonius upon modern text-books on conic sections is, so far as form and method are ... Edmund Halley, Apollonii Pergaei Conicorum libri octo et Sereni Antis- seiisis de sectione ... upon the contents of the works, both of which are lost. The passage ... dicular to the plane of the ellipse, and the construction follows that. Halley, Edmond (1656-1742), astronomer, was born probably on 29 October ... for that period are missing and the date of Halley's birth cannot be confirmed. ... The Conics of the great Greek geometer Apollonius of Perga was still to be done. ... although his reconstruction of the final book probably does not well represent ...

Jessica Kohmann

04.07.2011 · Fried M.N. (2012) Chapter 4 Halley’s General Strategy for Reconstructing Conics, Book VIII. In: Edmond Halley’s Reconstruction of the Lost Book of Apollonius’s Conics. Sources and Studies in the History of Mathematics and Physical Sciences. Springer, New York, NY