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

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BRILL, 18 de set. 2017 - 512 pàgines
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.
 

Continguts

Introduction
1
I Geometrical Algebra
17
II The Elements of Conic Sections in the Framework of Books IIII
56
How Conic Sections Meet in the Plane
117
Book V of the Conica
146
Book VI of the Conica
221
Book VII of the Conica
283
Conics and Circles
332
Elementary and NonElementary Books
364
IX Some Circumscribed Reflections on the Historiography of Hellenistic Mathematics
390
English Translation of Book IV
413
Bibliography
487
Index
495
SUPPLEMENTS TO MNEMOSYNE
500
Copyright

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