Treatise on Conic Sections PDF Download

Author: Apollonius (of Perga.)
Publisher:
ISBN:
Category : Conic sections
Languages : en
Pages : 444

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Author: Michael Fried
Publisher: BRILL
ISBN: 9004350993
Category : Literary Criticism
Languages : en
Pages : 512

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Book Description
This volume contains a historically sensitive analysis and interpretation of Apollonius of Perga's Conica, one of the greatest works of Hellenistic mathematics. It provides a long overdue alternative to H. G. Zeuthen's Die Lehre von den Kogelschnitten im Altertum.

Author: Apollonius of Perga
Publisher:
ISBN: 9781888009408
Category : Mathematics
Languages : en
Pages : 0

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Book Description
A single volume that combines Conics Books I-III and Conics Book IV (both by Apollonius of Perga). It supersedes the two-volume edition.

Author: Gerald J. Toomer
Publisher: Springer Science & Business Media
ISBN: 1461389852
Category : Mathematics
Languages : en
Pages : 978

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Book Description
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.

Author: Arseny V. Akopyan
Publisher: American Mathematical Soc.
ISBN: 9780821884324
Category : Mathematics
Languages : en
Pages : 148

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Book Description
"Geometry Of Conics deals with the properties of conics (plane curves of second degree) that can be formulated and proved using only elementary geometry. Starting with the well-known optical properties of conics, this book moves to less trivial results, both classical and contemporary. It demonstrates the advantage of purely geometric methods of studying conics."--Publisher's website.

Author: Apollonius (of Perga.)
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 114

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Book Description
A first English translation of Book IV of Apollonius's Conics, translated and annotated by Michael N. Fried, as a companion volume to our edition of Conics Books I-III. Conics IV deals with the way pairs of conic sections can intersect or touch each other. In his Introduction to the translation, Fried shows that this book has been misappraised by scholars too much inclined to see Apollonius's work merely as a precursor to the analytic geometry of the seventeenth century. He writes, Playfulness is one of the real delights of Book IV. One can see in this playfulness the artful way Apollonius contends with the main challenge of the book -the problem of how the opposite sections, specifically, meet other sections of a cone and other opposite sections - how he gives this problem both foundation and context."

Author: Jaap Mansfeld
Publisher: BRILL
ISBN: 9004321055
Category : Philosophy
Languages : en
Pages : 189

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Book Description
This is the first study to deal with the history of Greek mathematics - starting with Appollonius and including astronomy - as part of the history of literary culture. It attempts to find out how mathematical works were presented by original authors (e.g. Ptolemy), and introduced and explained by commentators (e.g. Pappus who is at the centre of this enquiry, Eutocius, and prolegomena by late Anonymi). The manner in which mathematical treatises were presented and studied is entirely comparable to that practised in e.g. philosophy, medicine, biblical and literary studies (see the author's Prolegomena, (Brill, 1994)). Discussion of introductory issues is a standard feature, and in mathematics the development from the implicitly expressed to the explicitly expressed and from there to scholastic routine is the same as in these other fields.

Author: Jaap Mansfeld
Publisher: BRILL
ISBN: 9789004100848
Category : Philosophy
Languages : en
Pages : 266

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Book Description
This study of the practices and principles of a wide range of ancient scholars dealing with philosophical, scientific, biblical and other authors is an important contribution to the understanding of the philosophical, literary, medical and patristic exegetical traditions in Antiquity.

Author: Archimedes
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 524

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Book Description

Author: Christopher Baltus
Publisher: Springer Nature
ISBN: 3030462870
Category : Mathematics
Languages : en
Pages : 187

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Book Description
This volume combines an introduction to central collineations with an introduction to projective geometry, set in its historical context and aiming to provide the reader with a general history through the middle of the nineteenth century. Topics covered include but are not limited to: The Projective Plane and Central Collineations The Geometry of Euclid's Elements Conic Sections in Early Modern Europe Applications of Conics in History With rare exception, the only prior knowledge required is a background in high school geometry. As a proof-based treatment, this monograph will be of interest to those who enjoy logical thinking, and could also be used in a geometry course that emphasizes projective geometry.