Apollonius of Perga's Conica : text, context, subtext /
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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.
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1 online resource (xii, 499 pages) : illustrations. :
Includes bibliographical references and index. :
9789004350991 :
0169-8958 ; :
Available to subscribing member institutions only.
The commentary of al-Nayrizi on Books II-IV of Euclid's Elements of Geometry : with a translation of that portion of Book I missing from ms Leiden or. 399.1 but present in the new...
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The Commentary of al-Nayrizi (circa 920) on Euclid's Elements of Geometry occupies an important place both in the history of mathematics and of philosophy, particularly Islamic philosophy. It is a compilation of original work by al-Nayrizi and of translations and commentaries made by others, such as Heron. It is the most influential Arabic mathematical manuscript in existence and a principle vehicle whereby mathematics was reborn in the Latin West. Furthermore, the Commentary on Euclid by the Platonic philosopher Simplicius, entirely reproduced by al-Nayrizi, and nowhere else extant, is essential to the study of the attempt to prove Euclid's Fifth Postulate from the preceding four. Al-Nayrizi was one of the two main sources from which Albertus Magnus (1193-1280), the Doctor Universalis, learned mathematics. This work presents an annotated English translation of Books II-IV and of a hitherto lost portion of Book I.
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1 online resource. :
Includes bibliographical references (p. [209]-212) and index. :
9789047444411 :
Available to subscribing member institutions only.
Prolegomena mathematica : from Apollonius of Perga to late Neoplatonism : with an appendix on Pappus and the history of Platonism /
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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.
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1 online resource (vi, 178 pages) :
Includes bibliographical references (p. 133-149) and indexes. :
9789004321052 :
0079-1687 ; :
Available to subscribing member institutions only.