By Michael N. Fried
Apollonius’s Conics was once one of many maximum works of complex arithmetic in antiquity. The paintings comprised 8 books, of which 4 have come all the way down to us of their unique Greek and 3 in Arabic. by the point the Arabic translations have been produced, the 8th booklet had already been misplaced. In 1710, Edmond Halley, then Savilian Professor of Geometry at Oxford, produced an version of the Greek textual content of the Conics of Books I-IV, a translation into Latin from the Arabic types of Books V-VII, and a reconstruction of e-book VIII.
The current paintings presents the 1st complete English translation of Halley’s reconstruction of publication VIII with supplementary notes at the textual content. It additionally includes 1) an advent discussing facets of Apollonius’s Conics 2) an research of Edmond Halley's realizing of the nature of his enterprise into historical arithmetic, and three) an appendices giving a short account of Apollonius’s method of conic sections and his mathematical techniques.
This publication can be of curiosity to scholars and researchers drawn to the background of ancient Greek mathematics and arithmetic within the early smooth period.
Read or Download Edmond Halley's Reconstruction of the Lost Book of Apollonius's Conics: Translation and Commentary (Sources and Studies in the History of Mathematics and Physical Sciences) PDF
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Extra resources for Edmond Halley's Reconstruction of the Lost Book of Apollonius's Conics: Translation and Commentary (Sources and Studies in the History of Mathematics and Physical Sciences)
By translating and editing existing mathematical works of Apollonius and reconstructing the lost works, Halley was engaging Apollonius in a kind of conversation, such as Halley relished at Jonathan’s, Garraway’s, and other coffee houses he frequented. In the reconstruction of Book VIII, this sense of dialogue can be felt not only in its explicit appeals to Apollonius, described above, but also in frequent additions to problems that are unmistakably in Halley’s own voice. 5, 6, 7, 8, 9, 10, 11, 12, 14, 23, 24, 26.
It may be because of Halley’s ability to listen to other voices from other times and to appreciate how even an ancient treatment of a problem may be useful and enlightening that he was such a good mediator for science. An instance of mediation pertinent for the present discussion, if only as an image, was Halley’s visit, at the behest of the Royal Society, to the astronomer Johann Hevelius of Danzig in 1679. At issue was a dispute that had begun some years before, mainly between Robert Hooke and Hevelius, in which Hooke had criticized Hevelius severely for his use of open69 instead of telescopic sights in measuring star positions.
6436 for ( 2-1) (in problem 31). These numerical results are surely not the “Great Geometer” speaking, but Halley, who loves to measure and calculate, speaking to him. It is worth noting too that, as one might guess by the remarks referring to the preface of Cutting-off of a Ratio (1706) above, Halley’s approach to the Conics in 1710 was not significantly different from his approach in that earlier work of 1706. In the Cutting-off of a Ratio, naturally, the additions are set off from the text as scholia rather than incorporated directly into the text.
Edmond Halley's Reconstruction of the Lost Book of Apollonius's Conics: Translation and Commentary (Sources and Studies in the History of Mathematics and Physical Sciences) by Michael N. Fried