Apolloniusas 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 Halleyas reconstruction of Book VIII with supplementary notes on the text. It also contains 1) an introduction discussing aspects of Apolloniusas 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 Apolloniusas 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.Yet the fact remains that Halley did come to the project as a mathematician and scientist and did so willingly, as I have ... past, like Apolloniusa#39;s Conics, in the middle ground between historical sensitivity and rigor and mathematical insight andanbsp;...

Title | : | Edmond Halley’s Reconstruction of the Lost Book of Apollonius’s Conics |

Author | : | Michael N. Fried |

Publisher | : | Springer Science & Business Media - 2011-09-03 |

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