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Apollonius of Perga's Conica : text, context, subtext / / by Michael N. Fried, Sabetai Unguru



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Autore: Fried Michael N. Visualizza persona
Titolo: Apollonius of Perga's Conica : text, context, subtext / / by Michael N. Fried, Sabetai Unguru Visualizza cluster
Pubblicazione: Leiden, The Netherlands ; ; Boston ; ; Köln : , : Brill, , [2001]
©2001
Descrizione fisica: 1 online resource (xii, 499 pages) : illustrations
Disciplina: 516.15
Soggetto topico: Mathematics, Greek
Conic sections
Persona (resp. second.): UnguruSabetai
Nota di bibliografia: Includes bibliographical references and index.
Nota di contenuto: Preliminary Material / MICHAEL N. FRIED and SABETAI UNGURU -- PREFACE AND ACKNOWLEDGEMENTS / MICHAEL N. FRIED and SABETAI UNGURU -- INTRODUCTION / MICHAEL N. FRIED and SABETAI UNGURU -- GEOMETRICAL ALGEBRA / MICHAEL N. FRIED and SABETAI UNGURU -- THE ELEMENTS OF CONIC SECTIONS IN THE FRAMEWORK OF BOOKS I–III / MICHAEL N. FRIED and SABETAI UNGURU -- BOOK IV OF THE ELEMENTS OF CONIC SECTIONS: HOW CONIC SECTIONS MEET IN THE PLANE / MICHAEL N. FRIED and SABETAI UNGURU -- MAXIMUM AND MINIMUM LINES: BOOK V OF THE CONlCA / MICHAEL N. FRIED and SABETAI UNGURU -- EQUALITY AND SIMILARITY: BOOK VI OF THE CONICA / MICHAEL N. FRIED and SABETAI UNGURU -- DIORISMIC THEOREMS AND THE USE OF ANALOGY: BOOK VII OF THE CONICA / MICHAEL N. FRIED and SABETAI UNGURU -- ONCE AGAIN, THE USE OF ANALOGY IN APOLLONIUS: CONICS AND CIRCLES / MICHAEL N. FRIED and SABETAI UNGURU -- THE CONICA AS AN INTEGRAL WHOLE: ELEMENTARY AND NON-ELEMENTARY BOOKS / MICHAEL N. FRIED and SABETAI UNGURU -- SOME CIRCUMSCRIBED REFLECTIONS ON THE HISTORIOGRAPHY OF HELLENISTIC MATHEMATICS / MICHAEL N. FRIED and SABETAI UNGURU -- AN ENGLISH TRANSLATION OF BOOK IV OF APOLLONIUS'S CONICA / MICHAEL N. FRIED and SABETAI UNGURU -- BIBLIOGRAPHY / MICHAEL N. FRIED and SABETAI UNGURU -- INDEX / MICHAEL N. FRIED and SABETAI UNGURU -- SUPPLEMENTS TO MNEMOSYNE / H. PINKSTER , H. W. PLEKET , C.J. RUIJGH , D.M. SCHENKEVELD , P. H. SCHRIJVERS and S.R. SLINGS.
Sommario/riassunto: 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.
Titolo autorizzato: Apollonius of Perga's Conica  Visualizza cluster
ISBN: 90-04-35099-3
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 996237747803316
Lo trovi qui: Univ. di Salerno
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Serie: Mnemosyne, bibliotheca classica Batava. . -Supplementum ; ; 222.