Edmond Halley’s Reconstruction of the Lost Book of Apollonius’s Conics

Edmond Halley’s Reconstruction of the Lost Book of Apollonius’s Conics
Author: Michael N. Fried
Publisher: Springer Science & Business Media
Total Pages: 134
Release: 2011-09-03
Genre: Mathematics
ISBN: 1461401461

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.

Apollonius: Conics Books V to VII

Apollonius: Conics Books V to VII
Author: Gerald J. Toomer
Publisher: Springer Science & Business Media
Total Pages: 978
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461389852

With the publication of this book I discharge a debt which our era has long owed to the memory of a great mathematician of antiquity: to pub lish the /llost books" of the Conics of Apollonius in the form which is the closest we have to the original, the Arabic version of the Banu Musil. Un til now this has been accessible only in Halley's Latin translation of 1710 (and translations into other languages entirely dependent on that). While I yield to none in my admiration for Halley's edition of the Conics, it is far from satisfying the requirements of modern scholarship. In particular, it does not contain the Arabic text. I hope that the present edition will not only remedy those deficiencies, but will also serve as a foundation for the study of the influence of the Conics in the medieval Islamic world. I acknowledge with gratitude the help of a number of institutions and people. The John Simon Guggenheim Memorial Foundation, by the award of one of its Fellowships for 1985-86, enabled me to devote an unbroken year to this project, and to consult essential material in the Bodleian Li brary, Oxford, and the Bibliotheque Nationale, Paris. Corpus Christi Col lege, Cambridge, appointed me to a Visiting Fellowship in Trinity Term, 1988, which allowed me to make good use of the rich resources of both the University Library, Cambridge, and the Bodleian Library.

Conics

Conics
Author: Apollonius (of Perga.)
Publisher:
Total Pages: 328
Release: 1939
Genre: Conic sections
ISBN:

Heathen

Heathen
Author: Kathryn Gin Lum
Publisher: Harvard University Press
Total Pages: 369
Release: 2022-05-17
Genre: Religion
ISBN: 0674275799

Philip Schaff Prize, American Society of Church History S-USIH Book Award, Society for U.S. Intellectual History Merle Curti Award in Intellectual History, Organization of American Historians “A fascinating book...Gin Lum suggests that, in many times and places, the divide between Christian and ‘heathen’ was the central divide in American life.”—Kelefa Sanneh, New Yorker “Offers a dazzling range of examples to substantiate its thesis. Rare is the reader who could dip into it without becoming much better informed on a great many topics historical, literary, and religious. So many of Gin Lum’s examples are enlightening and informative in their own right.”—Philip Jenkins, Christian Century “Brilliant...Gin Lum’s writing style is nuanced, clear, detailed yet expansive, and accessible, which will make the book a fit for both graduate and undergraduate classrooms. Any scholar of American history should have a copy.” —Emily Suzanne Clark, S-USIH: Society for U.S. Intellectual History In this sweeping historical narrative, Kathryn Gin Lum shows how the idea of the heathen has been maintained from the colonial era to the present in religious and secular discourses—discourses, specifically, of race. Americans long viewed the world as a realm of suffering heathens whose lands and lives needed their intervention to flourish. The term “heathen” fell out of common use by the early 1900s, leading some to imagine that racial categories had replaced religious differences. But the ideas underlying the figure of the heathen did not disappear. Americans still treat large swaths of the world as “other” due to their assumed need for conversion to American ways. Race continues to operate as a heathen inheritance in the United States, animating Americans’ sense of being a world apart from an undifferentiated mass of needy, suffering peoples. Heathen thus reveals a key source of American exceptionalism and a prism through which Americans have defined themselves as a progressive and humanitarian nation even as supposed heathens have drawn on the same to counter this national myth.

The Lives of the Sophists

The Lives of the Sophists
Author: Philostratus (the Athenian)
Publisher:
Total Pages: 656
Release: 1921
Genre: Classical literature
ISBN:

PHILOSTRATUS AND EUNAPIUS. (a) Of the distinguished Lemnian family of Philostrati, Flavius Philostratus, 'the Athenian', was a Greek sophist (professor), c. A.D. 170-205, who studied at Athens and later lived in Rome. He was author of the admirable Life of Apollonius of Tyana (Loeb Nos. 16 and 17) and Lives of the Sophists (which are really impressions of investigators alert but less fond of scientific method and discovery than of stylish presentation or things known), one part concerning some older, the other some later 'provessors'. Other extant works of this Philostratus are Letters and Gymnasticus, but the Heroicus or Heroica is apparently by another Philostratus, and the Eikones (Imagines, skilful descriptions of pictures, Loeb No. 256) were probably by two Philostrati, on being the son of Nervianus and born c. A.D. 190, the other his grandson who wrote c. AD. 300. (b) The Greek Sophist and historian Eunapius was born at Sardis in A.D. 347, but went to Athens to study and lived much of his life there teaching rhetoric and possibly medicine. He was initiated into the 'mysteries' and was hostile to Christians. Lost is his historical work (covering the years A.D. 270-404) but for excerpts and the use of it made by Zosimmus, but we have his Lives of Philosophers and Sophists mainly contemporary whth himself. Eunapius is our only source of our knowledge of Neo-Platonism in the latter part of the fourth century A.D.

Apollonius Rhodius, Herodotus and Historiography

Apollonius Rhodius, Herodotus and Historiography
Author: A. D. Morrison
Publisher: Cambridge University Press
Total Pages: 257
Release: 2020-01-30
Genre: History
ISBN: 1108492320

Argues that Herodotus is key to understanding genre and the relationship between past and present in Apollonius of Rhodes' Argonautica.