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Apollonius of Perga's Conica : Text, Context, Subtext

by: Fried, M.N. Unguru, S.

Price: 213,00 EURO

1 copy in stock
 
Category: Greek Texts / Apparatus Criticus / Commentary
Code: 181
ISBN-13: 9789004119772 / 978-90-04-11977-2
ISBN-10: 9004119779 / 90-04-11977-9
Publisher: E.J. Brill
Publication Date: 2001
Publication Place: Leiden
Binding: Cloth
Pages: 499
Book Condition: New
Comments: Mnemosyne Supplement 222

Apollonius of Perga's Conica
Text, Context, Subtext
Series:
Mnemosyne, Supplements, Volume: 222
Authors: Michael Fried and Sabetai Unguru
This volume takes a new look at one of the greatest works of Hellenistic mathematics, Apollonius of Perga's Conica. It provides a long overdue alternative to H.G. Zeuthen's Die Lehre von den Kegelschnitten im Altertum.
The central part of the volume contains a historically sensitive analysis and interpretation of the entire Conica, both from the standpoint of its individual books and of the text as a whole. Particular attention is given to Books V-VII, which have had scant treatment until now. Two chapters in the volume concern histioriographic issues connected with the Conica in paricular and Greek mathematics in general.
Although the volume is intended primarily for historians of ancient mathematics, its approach is fresh and engaging enough to be of interest also to historians, philosophers, linguists, and open-minded mathematicians.

 

Preliminary Material
Authors: MICHAEL N. FRIED and SABETAI UNGURU
Pages: i–ix
PREFACE AND ACKNOWLEDGEMENTS
Authors: MICHAEL N. FRIED and SABETAI UNGURU
Pages: xi–xii
INTRODUCTION
Authors: MICHAEL N. FRIED and SABETAI UNGURU
Pages: 1–15
GEOMETRICAL ALGEBRA
Authors: MICHAEL N. FRIED and SABETAI UNGURU
Pages: 17–55
THE ELEMENTS OF CONIC SECTIONS IN THE FRAMEWORK OF BOOKS I–III
Authors: MICHAEL N. FRIED and SABETAI UNGURU
Pages: 56–116
BOOK IV OF THE ELEMENTS OF CONIC SECTIONS: HOW CONIC SECTIONS MEET IN THE PLANE
Authors: MICHAEL N. FRIED and SABETAI UNGURU
Pages: 117–145
MAXIMUM AND MINIMUM LINES: BOOK V OF THE CONlCA
Authors: MICHAEL N. FRIED and SABETAI UNGURU
Pages: 146–220
EQUALITY AND SIMILARITY: BOOK VI OF THE CONICA
Authors: MICHAEL N. FRIED and SABETAI UNGURU
Pages: 221–282
DIORISMIC THEOREMS AND THE USE OF ANALOGY: BOOK VII OF THE CONICA
Authors: MICHAEL N. FRIED and SABETAI UNGURU
Pages: 283–331
ONCE AGAIN, THE USE OF ANALOGY IN APOLLONIUS: CONICS AND CIRCLES
Authors: MICHAEL N. FRIED and SABETAI UNGURU
Pages: 332–363
THE CONICA AS AN INTEGRAL WHOLE: ELEMENTARY AND NON-ELEMENTARY BOOKS
Authors: MICHAEL N. FRIED and SABETAI UNGURU
Pages: 364–389
SOME CIRCUMSCRIBED REFLECTIONS ON THE HISTORIOGRAPHY OF HELLENISTIC MATHEMATICS
Authors: MICHAEL N. FRIED and SABETAI UNGURU
Pages: 390–412
AN ENGLISH TRANSLATION OF BOOK IV OF APOLLONIUS'S CONICA
Authors: MICHAEL N. FRIED and SABETAI UNGURU
Pages: 413–485
BIBLIOGRAPHY
Authors: MICHAEL N. FRIED and SABETAI UNGURU
Pages: 487–494
INDEX
Authors: MICHAEL N. FRIED and SABETAI UNGURU
Pages: 495–499
SUPPLEMENTS TO MNEMOSYNE
Authors: H. PINKSTER, H. W. PLEKET, C.J. RUIJGH, D.M. SCHENKEVELD, P. H. SCHRIJVERS, and S.R. SLINGS
Pages: 500
 
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Apollonius of Perga's Conica : Text, Context, Subtext

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