Euclid's Books

Euclid's Phaenomena

A Translation and Study of a Hellenistic Treatise in Spherical Astronomy

By: Euclid,J. L. Berggren,Robert S. D. Thomas

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Euclid's Phaenomena

A Translation and Study of a Hellenistic Treatise in Spherical Astronomy

By: Euclid,J. L. Berggren,Robert S. D. Thomas

The book contains a translation and study of Euclid's Phaenomena, a work which once formed part of the mathematical training of astronomers from Central Asia to Western Europe. Included is an introduction that sets Euclid's geometry of the celestial sphere, and its application to the astronomy of his day, into its historical context for readers not already familiar with it. So no knowledge of astronomy or advanced mathematics is necessary for an understanding of the work. The book shows mathematical astronomy shortly before the invention of trigonometry, which allowed the calculation of exact results and the subsequent composition of Ptolemy's Almagest. The Phaenomena itself begins with an introduction (possibly not by Euclid) followed by eighteen propositions set out in geometrical style about how arcs of the zodiacal circle move across the sky. The astronomical application is to the small arc of that circle occupied by the Sun, but the Sun is not mentioned. This work and the (roughly) contemporaneous treatises of Autolycus and Aristarchos form a corpus of the oldest extant works on mathematical astronomy. Together with Euclid's Optics one has the beginnings of the history of science as an application of mathematics. Information for our distributors: Copublished with the London Mathematical Society beginning with Volume 4. Members of the LMS may order directly from the AMS at the AMS member price. The LMS is registered with the Charity Commissioners.

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Page Count

146

Publisher

American Mathematical Soc.

Published Date

ISBN 10

082184072X

ISBN 13

9780821840726

Delphi Collected Works of Euclid (Illustrated)

By: Euclid

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Delphi Collected Works of Euclid (Illustrated)

By: Euclid

The father of geometry, Euclid was a Greek mathematician active in Alexandria during the reign of Ptolemy I (323-283 BC). His treatise on geometry, ‘Elements’, is one of the most influential works in the history of mathematics, serving as the main textbook for teaching mathematics from the time of its first publication until the early twentieth century. In the ‘Elements’, Euclid deduces the theorems of what is now called Euclidean geometry from a small set of axioms. Euclid compiled his treatise from a number of works of earlier mathematicians including Pythagoras, Hippocrates of Chios and Eudoxus of Cnidus, preserving many otherwise lost ideas. One of the very earliest mathematical works to be printed after the invention of the printing press, it has been estimated that ‘Elements’ is second only to the Bible in the number of editions published. Delphi’s Ancient Classics series provides eReaders with the wisdom of the Classical world, with both English translations and the original Greek texts. This comprehensive eBook presents Euclid’s collected (almost complete) works, with illustrations, informative introductions and the usual Delphi bonus material. (Version 1)* Beautifully illustrated with images relating to Euclid's life and works * Features the collected works of Euclid in English translation * Includes the original Greek text of ‘Elements’ * Includes Thomas Heath’s seminal translation of ‘Elements’ for Cambridge University Press * Excellent formatting of the texts * Includes Euclid's rare work ‘Optics’, first time in digital print * Features a bonus biography — discover Euclid's ancient world * Scholarly ordering of texts into chronological order and literary genresPlease visit www.delphiclassics.com to explore our range of Ancient Classics titles or buy the entire series as a Super SetCONTENTS:The Translations Elements (translated by Thomas Heath) Data (translated by Robert Simson) On Divisions of Figures (translated by Raymond Clare Archibald) Optics (translated by Harry Edwin Burton)The Greek Text ElementsThe Biography Euclid by John Sturgeon MackayPlease visit www.delphiclassics.com to browse through our range of exciting titles

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Page Count

1793

Publisher

Delphi Classics

Published Date

ISBN 10

1788779460

ISBN 13

9781788779463

The Thirteen Books of the Elements, Vol. 1

By: Euclid

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The Thirteen Books of the Elements, Vol. 1

By: Euclid

Volume 1 of 3-volume set containing complete English text of all 13 books of the Elements plus critical analysis of each definition, postulate, and proposition. Vol. 1 includes Introduction, Books I and II: Triangles, rectangles.

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Page Count

468

Publisher

Courier Corporation

Published Date

ISBN 10

0486158187

ISBN 13

9780486158181

Book's by Euclid

Euclid's Phaenomena

Euclid's Phaenomena

Delphi Collected Works of Euclid (Illustrated)

Delphi Collected Works of Euclid (Illustrated)

The Thirteen Books of the Elements, Vol. 1

The Thirteen Books of the Elements, Vol. 1

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