Format:
1 Online-Ressource (vi, 178 p)
ISBN:
9004112677
,
9789004321052
,
9789004112674
Series Statement:
Philosophia antiqua v. 80
Content:
Preliminary material -- PRELIMINARIES -- PAPPUS’ COLLECTIO -- COMMENTARIES ON EUCLID, THE SCHOLIA ON EUCLID’S ELEMENTS AND PAPPUS’ COMMENTARY ON BOOK X -- APOLLONIUS’ PROEMS AND EUTOCIUS’ COMMENTARY -- EUTOCIUS’ COMMENTARIES ON ARCHIMEDES, AND THE VITA -- HERON OF ALEXANDRIA -- THEON(?)’S PREFACE TO EUCLID’S OPTICA -- MARINUS ON EUCLID’S DATA -- PTOLEMY’S PREFACES -- COMMENTARIES ON PTOLEMY -- NICOMACHUS OF GERASA AND HIS COMMENTATORS -- CONCLUSION -- APPENDIX 1: THE TITLE OF PTOLEMY’S ASTROLOGICAL TREATISE -- APPENDIX 2: PAPPUS AND THE HISTORY OF PLATONISM -- COMPLEMENTARY NOTES -- BIBLIOGRAPHY -- INDEX LOCORUM POTIORUM -- INDEX RERUM ET NOMINUM ANTIQUORUM -- PHILOSOPHIA ANTIQUA: A SERIES OF STUDIES ON ANCIENT PHILOSOPHY by J. MANSFELD , D.T. RUNIA and J.C.M. VAN WINDEN.
Content:
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
Note:
Available to subscribing member institutions only
,
Includes bibliographical references (p. 133-149) and indexes
,
Ch. I. Ch. II. II 1. II 2. II 3. II 4. Ch. III. III 1. III 2. III 3. Ch. IV. IV 1. IV 2. Ch. V. V 1. V 2. V 3. Preliminaries -- Pappus' Collectio. Introduction. Collectio Book VII. Collectio Book VI. Further Evidence from the Collectio -- Commentaries on Euclid, the Scholia on Euclid's Elements and Pappus' Commentary on Book X. Comments and Commentaries on the Elements and Data. The Scholia in Euclidem: Proclus, Pappus and Others. Pappus' Commentary on Elements Book X -- Apollonius' Proems and Eutocius' Commentary. The Proems of Apollonius' Conica. Eutocius' Commentary on Apollonius' Conica I-IV -- Eutocius' Commentaries on Archimedes, and the Vita. Archimedes' Proems. Eutocius' Commentaries on Archimedes. The Vita of Archimedes.
Additional Edition:
ISBN 9789004112674
Additional Edition:
Erscheint auch als Druck-Ausgabe Prolegomena Mathematica: From Apollonius of Perga to the Late Neoplatonism. With an Appendix on Pappus and the History of Platonism Leiden, Boston : BRILL, 1998 ISBN 9789004112674
Language:
English
DOI:
10.1163/9789004321052
