McKinney, Colin Bryan Powell (Author)
The Conics of Apollonius remains a central work of Greek mathematics to this day. Despite this, much recent scholarship has neglected the Conics in favor of works of Archimedes. While these are no less important in their own right, a full understanding of the Greek mathematical corpus cannot be bereft of systematic studies of the Conics. However, recent scholarship on Archimedes has revealed that the role of secondary commentaries is also important. In this thesis, I provide a translation of Eutocius' commentary on the Conics, demonstrating the interplay between the two works and their authors as what I call conjugate. I also give a treatment on the duplication problem and on compound ratios, topics which are tightly linked to the Conics and the rest of the Greek mathematical corpus. My discussion of the duplication problem also includes two computer programs useful for visualizing Archytas' and Eratosthenes' solutions.
...MoreDescription Includes a discussion of the duplication problem and a translation of Eutocius' commentary on the Conics. Cited in ProQuest Diss. & Thes. : doc. no. 3422241.
Book
Apollonius, ;
(2002)
Apollonius's Conics Book IV
(/isis/citation/CBB000203100/)
Book
Fried, Michael N.;
(2011)
Edmond Halley's Reconstruction of the Lost Book of Apollonius's Conics: Translation and Commentary
(/isis/citation/CBB001024500/)
Book
Fried, Michael N.;
Unguru, Sabetai;
(2001)
Apollonius of Perga's Conica: Text, Context, Subtext
(/isis/citation/CBB000340186/)
Book
Apollonius, ;
Rashed, Roshdi;
(2009)
Apollonius de Perge, Coniques: texte grec et arabe
(/isis/citation/CBB001450694/)
Chapter
Rashed, Roshdi;
(2008)
Le concept de tangente dans les Coniques d'Apollonius
(/isis/citation/CBB000950184/)
Book
Apollonius of Perga, ;
Rāshid, Rushdī;
(2008-2010)
Apollonius de Perge, Coniques: texte grec et arabe
(/isis/citation/CBB001022022/)
Book
Archimedes, ;
(2004)
The Works of Archimedes: Translated into English Together with Eutocius' Commentaries, with Commentary and Critical Edition of the Diagrams, Vol. 1
(/isis/citation/CBB000640054/)
Article
Fried, Michael;
(2003)
The Use of Analogy in Book VII of Apollonius' Conica
(/isis/citation/CBB000740736/)
Article
Nikolantonakis, Konstantinos;
(2007)
The Treatise “On the Section of a Cylinder” of Serenus of Antinoeia and the Apollonian Tradition
(/isis/citation/CBB000933151/)
Book
Apollonius of Perga, ;
Rashed, Roshdi;
Bellosta, Hélène;
(2010)
La section des droites selon de rapports
(/isis/citation/CBB001220540/)
Article
Krol, Z.;
(2006)
Ancient Geometry and Plato's Philosophy on the Base of Pappus' “Comment on the Xth Book of Elements of Euclid”
(/isis/citation/CBB000931646/)
Article
Kunkel, Paul;
(2007)
The Tangency Problem of Apollonius: Three Looks
(/isis/citation/CBB000831564/)
Chapter
Decorps-Foulquier, Micheline;
(2004)
Sur les rencontres entre sections dans les Coniques d'Apollonius de Perge: remarques sur le texte grec de la préface du Livre I
(/isis/citation/CBB000650858/)
Article
Resenfeld, Boris;
(2002)
Some Remarks on New Editions of Apollonius' Conics
(/isis/citation/CBB000740639/)
Article
Rashed, Roshdi;
(2010)
L'asymptote: Apollonius et ses lecteurs
(/isis/citation/CBB001034316/)
Article
Nathan Sidoli;
(2018)
The Concept of Given in Greek Mathematics
(/isis/citation/CBB871621734/)
Article
Rashed, Roshdi;
(2007)
Lire les anciens textes mathématiques: le cinquième livre des Coniques d'Apollonius
(/isis/citation/CBB000933157/)
Book
Jaap Mansfeld;
(1998)
Prolegomena Mathematica: From Apollonius of Perga to the Late Neoplatonism with an Appendix on Pappus and the History of Platonism
(/isis/citation/CBB015172971/)
Thesis
Rhodes, Diana L.;
(2005)
A Mathematical Translation of Apollonius of Perga's “Conics” IV
(/isis/citation/CBB001561507/)
Article
Unguru, Sabetai;
Fried, Michael N.;
(2007)
Apollonius, Davidoff, Rorty, and Zeuthen: From A to Z, or, What Else is There?
(/isis/citation/CBB000701065/)
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