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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...https://books.google.com/books/about/Apollonius_of_Perga_s_Conica.html?hl=sv&id=kBqxawqOmgcC&utm_source=gb-gplus-shareApollonius of Perga's Conica Sidan xi
It presents a rival interpretation to Zeuthen's Die Lehre von den Kegelschnitten im
Altertum, the premier treatment of the topic ... While Zeuthen's title is
straightforward (which did not prevent him from using generously distorting
textual glosses), ...
Sidan 1
INTRODUCTION Since H. G. Zeuthen's Die Lehre von den Kegelschnitten im
Altertum, written in 1886, there has appeared no other major interpretation of
Apollonius's Conica. Even Heath's book-size introduction to his Apollonius of
Perga: ...
Sidan 40
H. G. Zeuthen (1839-1920), a learned mathematician and a student of Michel
Chasles, the master of enumerative methods in ... 63 His most important and
representative historical works are: Die Lehre von den Kegelschnitten im
Altertum ...
Sidan 90
... Second Look at the Algebraic Interpretation of the Elements of Conics The
reading of the Conica presented thus far differs, of course, from the usual account
, the account originating in Zeuthen's Die Lehre von den Kegelschnitten im
Altertum, ...
Sidan 147
For other examples, see H. G. Zeuthen, Die Lehre von den Kegelschnitten im
Altertum, pp. 284-309 and Heath, A History of Greek Mathematics, II, 159. Even
Knorr, while he has serious reservations about Apollonius's determining the
evolute, ...
Sidan 149
Zeuthen's chapter on Book V in Die Lehre von den Kegelschnitten im Altertum
comes in the course of a discussion of solid problems and begins "AuBer den
bereits ange- fuhrten [the allusion is to solid problems involving neusis solved by
...
Sidan 221
CHAFFER FIVE EQUALITY AND SIMILARITY: BOOK VI OF THE CONICA
Introduction The sixth book of the Conica merits the shortest chapter in Zeuthen's
Die Lehre von den Kegelschnitten im Altertum. Indeed, Zeuthen explains at the
start of ...
Sidan 390
CHAPTER NINE SOME CIRCUMSCRIBED REFLECTIONS ON THE
HISTORIOGRAPHY OF HELLENISTIC MATHEMATICS In the historiography of
Hellenistic mathematics, H. G. Zeuthen's Die Lehre von den Kegelschnitten im
Altertum ...
Sidan 398
This brings us chronologically to Zeuthen and his crucial contributions to the
history of Greek mathematics, and the history of conic sections in particular. Since
Zeuthen's Die Lehre von den Kegelschnitten im Altertum, with all the due respect
it ...