Apollonius (of Perga.)

Apollonius of Perga

A completely new edition of Taliaferro's translation of the first three books of Apollonius's Conics with all new diagrams. It is the only English translation of these books other than Heath's out-of-print version which is a modernized retelling rather than a true translation. This 3rd Century BCE work displays astonishing virtuosity in the treatment of conic sections in the classical synthetic geometrical manner. It is the culmination of Greek geometry and, in turn, provided a basis for the work of modern mathematicians and scientists such as Vieta, Descartes, Kepler, and Newton. Includes many corrections to the old edition's text, translation, and notes, all new diagrams, an index, a bibliography, and an introductory essay by Harvey Flaumenhaft. Design and layout make it easy to read and work with, with diagrams repeated on every spread, adequate space for notes, and high quality paper to prevent show-through.

Books I-III

Conics

Treatise on Conic Sections

Sir Thomas Little Heath

Treatise on Conic Sections with Introductions Including an Essay on Earlier History on the Subject

libri quatuor graece et latine cum Pappi Alexandrini lemmatis et Eutocii Ascalonitae commentariis, libri tres posteriores ex arabico sermone in latinum conversi cum Pappi Alexandrini lemmatis, subjicitur libri octo latine restitutus

Conicorum libri octo

Apollonius Pergaeus

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.

The Arabic Translation of the Lost Greek Original in the Version of the Banū Mūsā

Apollonius: Conics Books V to VII

Apollonius (of Perga.)

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