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

الغلاف الأمامي
BRILL, 2001 - 499 من الصفحات
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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المحتويات

Geometrical Algebra
17
The Elements of Conic Sections in the Framework
56
Figures
109
The Investigation of Opposite Sections
119
How Conic Sections Meet in a Plane
128
The Possibility of Different Conic Sections
135
Book V of
146
Comica
159
Book VI of the Conica
221
Conclusion
234
A Glance at Halleys Book VIII
293
Images of Diameters and Latera Recta
306
Conclusion
315
Elementary
364
Some Circumscribed Reflections on
390
English Translation of Book IV
413

Introduction
167
Maximum and Minimum Lines as Longest
177
Neusislike Constructions
187
Conclusion
200

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حول المؤلف (2001)

Michael N. Fried, Ph.D. (1998) in History of Science, Tel-Aviv University, a graduate of St.John's College, is Researcher at Ben Gurion University of the Negev, Center for Science and Technology Education. Sabetai Unguru, Ph.D. (1970) in History of Science, University of Wisconsin, Madison, is Professor Emeritus at Tel-Aviv University. His publications are in the fields of the history of Greek mathematics and medieval optics.

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