Umfang:
Online-Ressource
,
v.: digital
Ausgabe:
Online-Ausg. Springer eBook Collection. Mathematics and Statistics Electronic reproduction; Available via World Wide Web
ISBN:
9781461401469
,
9781283351898
Serie:
Sources and Studies in the History of Mathematics and Physical Sciences
Inhalt:
Michael N. Fried
Inhalt:
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 Hal
Anmerkung:
Includes bibliographical references and index
,
Edmond Halley's Reconstruction of the Lost Book of Apollonius's Conics; Preface; Contents; Part I Introduction; Chapter 1 Edmond Halley: Ancient and Modern; Chapter 2 Apollonius's Conics; Chapter 3 The Path to Halley; Chapter 4 Halley's General Strategy for Reconstructing Conics, Book VIII; Chapter 5 Halley's Dialogue with the Past; Chapter 6 A Note on the Translation; Part II Apollonius of Perga's On Conics: Book Eight Restored; APOLLONIUS OF PERGA'S ON CONICS: BOOK EIGHT RESTORED OR THE BOOK ON DETERMINATE PROBLEMS CONJECTURED; Part III Synopsis and Appendices
,
Synopsis of the Contents of Halley's Conics, Book VIIIPropositions I-IV: The Parabola and Initial Propositions for the Ellipse and Hyperbola; Propositions V-XVIII: Conjugate Diameters; Scholium Special Cases of the ``Application of Areas''; Propositions XIX-XXXIII: Diameters and their Latera Recta; Appendix 1: Terminology and Notions from Greek Mathematics; Appendix 2: Hippocrates's First Quadrature of a Lune; References; Index
,
Electronic reproduction; Available via World Wide Web
Weitere Ausg.:
ISBN 9781461401452
Sprache:
Englisch
Schlagwort(e):
Apollonius Pergaeus v262-v190 Conica
;
Rekonstruktion
;
Halley, Edmond 1656-1742
DOI:
10.1007/978-1-4614-0146-9
URL:
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