Apollonius of Perga's Conica : text, context, subtext (Book, 2001) [WorldCat.org]
skip to content
Apollonius of Perga's Conica : text, context, subtext Preview this item
ClosePreview this item

Apollonius of Perga's Conica : text, context, subtext

Author: Michael N Fried; Sabetai Unguru
Publisher: Leiden ; Boston : Brill, 2001.
Series: Mnemosyne, bibliotheca classica Batava., Supplementum ;, 222.
Edition/Format:   Print book : EnglishView all editions and formats

This volume contains a historically sensitive analysis and interpretation of Apollonius of Perga's Conica, one of the greatest works of Hellenistic mathematics. It provides a long overdue alternative  Read more...


(not yet rated) 0 with reviews - Be the first.

More like this

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...


Genre/Form: Early works
Early works to 1800
Additional Physical Format: Online version:
Fried, Michael N.
Apollonius of Perga's Conica.
Leiden ; Boston : Brill, 2001
Named Person: Apollonius, of Perga.; of Perga Apollonius; Apollonius, of Perga.; Apollonius, of Perga; Apollonius de Perga (0262?-0190? av. J.-C.).; Apollonius <Pergaeus>
Document Type: Book
All Authors / Contributors: Michael N Fried; Sabetai Unguru
ISBN: 9004119779 9789004119772
OCLC Number: 47056365
Language Note: Includes English translation of Conica Book IV.
Description: xii, 499 pages : illustrations ; 25 cm
Contents: I. Geometrical Algebra --
A. Its Formulation --
B.1. Its Origins --
B.2. Strength and Weakness of Geometrical Algebra --
C. The Influence of "Geometrical Algebra" in the Interpretation of the Conica --
II. The Elements of Conic Sections in the Framework of Books I-III --
Apollonius's Introduction and the General Nature of "Elements" --
The Initial Definitions --
The Definitions of the Conic Sections and the Symptomata --
A Second Look at the Algebraic Interpretation of The Elements of Conics --
Symptomata and Equations --
The Locus Problem --
Intentiones Primae and Intentiones Secundae --
The Place of Diameters --
III. Book IV of the Elements of Conic Sections: How Conic Sections Meet in the Plane --
The Investigation of Opposite Sections --
How Conic Sections Meet in a Plane --
Digression: Descartes' Treatment of Cutting and Touching in La Geometrie --
The Possibility of Different Conic Sections in One Plane --
IV. Maximum and Minimum Lines: Book V of the Conica --
The Conventional View: Normals as Maxima and Minima --
The Importance of Normals --
The Evolute --
Maximum and Minimum Lines as Longest and Shortest Lines --
Neusis-like Constructions --
V. Equality and Similarity: Book VI of the Conica --
Equality --
Similarity --
Equality and Similarity --
The Constructions --
VI. Diorismic Theorems and the Use of Analogy: Book VII of the Conica --
Diorismoi and Diorismic Theorems --
A Glance at Halley's Book VIII --
The Diorismic Theorems of Book VII --
Images of Diameters and Latera Recta --
VII. Once Again, the use of Analogy in Apollonius: Conics and Circles --
The Tangent and the Asymptote: An "Internal" Analogy in the Conica --
Circles and Conic Sections --
VIII. The Conica as an Integral Whole: Elementary and Non-Elementary Books --
Was the Conica Written as One book? --
Elementary and Advanced Books: The Basic Division in the Conica --
IX. Some Circumscribed Reflections on the Historiography of Hellenistic Mathematics --
App. English Translation of Book IV.
Series Title: Mnemosyne, bibliotheca classica Batava., Supplementum ;, 222.
Responsibility: by Michael N. Fried, Sabetai Unguru.


Editorial reviews

Publisher Synopsis

'...this book should be considered a clear success.'Reviel Netz, Bryn Mawr Classical Review, 2002.

User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...


Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.