This is the first study to deal with the history of Greek mathematics - starting with Appollonius and including astronomy - as part of the history of literary culture. It attempts to find out how mathematical works were presented by original authors (e.g. Ptolemy), and introduced and explained by commentators (e.g. Pappus who is at the centre of this enquiry, Eutocius, and prolegomena by late Anonymi). The manner in which mathematical treatises were presented and studied is entirely comparable to that practised in e.g. philosophy, medicine, biblical and literary studies (see the author's Prolegomena, (Brill, 1994)). Discussion of introductory issues is a standard feature, and in mathematics the development from the implicitly expressed to the explicitly expressed and from there to scholastic routine is the same as in these other fields.
...MoreReview Reviel Netz (2000) Review of "Prolegomena Mathematica: From Apollonius of Perga to the Late Neoplatonism with an Appendix on Pappus and the History of Platonism". Apeiron: Journal for Ancient Philosophy and Science (pp. 171-179).
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
Catana, Leo;
(2013)
The Origin of the Division between Middle Platonism and Neoplatonism
(/isis/citation/CBB001200190/)
Thesis
Arsen, Hera Sharon;
(2009)
Was Plato a Mathematical Platonist? An Inquiry into the Nature of the Intermediates, Their Effects on Plato's Metaphysics, and Plato's Resulting Mathematical Ontology
(/isis/citation/CBB001562854/)
Book
Lloyd P. Gerson;
(2013)
From Plato to Platonism
(/isis/citation/CBB685278391/)
Book
Sefrin-Weis, Heike;
(2010)
Pappus of Alexandria: Book 4 of the Collection
(/isis/citation/CBB001024842/)
Book
Fried, Michael N.;
(2011)
Edmond Halley's Reconstruction of the Lost Book of Apollonius's Conics: Translation and Commentary
(/isis/citation/CBB001024500/)
Book
Apollonius of Perga, ;
Rashed, Roshdi;
Bellosta, Hélène;
(2010)
La section des droites selon de rapports
(/isis/citation/CBB001220540/)
Thesis
Rhodes, Diana L.;
(2005)
A Mathematical Translation of Apollonius of Perga's “Conics” IV
(/isis/citation/CBB001561507/)
Chapter
Rashed, Roshdi;
(2008)
Le concept de tangente dans les Coniques d'Apollonius
(/isis/citation/CBB000950184/)
Article
Goldstein, Bernard R.;
(2009)
Apollonius of Perga's Contributions to Astronomy Reconsidered
(/isis/citation/CBB001232564/)
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
Fried, Michael N.;
Unguru, Sabetai;
(2001)
Apollonius of Perga's Conica: Text, Context, Subtext
(/isis/citation/CBB000340186/)
Article
Feke, Jacqueline;
(2012)
Ptolemy's Defense of Theoretical Philosophy
(/isis/citation/CBB001251242/)
Article
Fried, Michael;
(2003)
The Use of Analogy in Book VII of Apollonius' Conica
(/isis/citation/CBB000740736/)
Thesis
McKinney, Colin Bryan Powell;
(2010)
Conjugate Diameters: Apollonius of Perga and Eutocius of Ascalon
(/isis/citation/CBB001560832/)
Book
Apollonius of Perga, ;
Rāshid, Rushdī;
(2008-2010)
Apollonius de Perge, Coniques: texte grec et arabe
(/isis/citation/CBB001022022/)
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, ;
Rashed, Roshdi;
(2009)
Apollonius de Perge, Coniques: texte grec et arabe
(/isis/citation/CBB001450694/)
Book
Apollonius, ;
(2002)
Apollonius's Conics Book IV
(/isis/citation/CBB000203100/)
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