Del Centina, Andrea (Author)
Fiocca, Alessandra (Author)
To solve the direct problem of central forces when the trajectory is an ellipse and the force is directed to its centre, Newton made use of the famous Lemma 12 (Principia, I, sect. II) that was later recognized equivalent to proposition 31 of book VII of Apollonius’s Conics. In this paper, in which we look for Newton’s possible sources for Lemma 12, we compare Apollonius’s original proof, as edited by Borelli, with those of other authors, including that given by Newton himself. Moreover, after having retraced its editorial history, we evaluate the dissemination of Borelli's edition of books V-VII of Apollonius’s Conics before the printing of the Principia.
...More
Article
Dunlop, Katherine;
(2012)
The Mathematical Form of Measurement and the Argument for Proposition I in Newton's Principia
(/isis/citation/CBB001211480/)
Article
Kunkel, Paul;
(2007)
The Tangency Problem of Apollonius: Three Looks
(/isis/citation/CBB000831564/)
Article
Scholz, Erhard;
(2006)
Introducing Groups into Quantum Theory (1926--1930)
(/isis/citation/CBB000771356/)
Book
Antonino Drago;
(2017)
Dalla storia della fisica alla scoperta dei fondamenti della scienza
(/isis/citation/CBB248791186/)
Book
Leshem, Ayval;
(2003)
Newton on Mathematics and Spiritual Purity
(/isis/citation/CBB000320214/)
Article
Brackenridge, J. Bruce;
(2003)
Newton's Easy Quadratures Omitted for the Sake of Brevity
(/isis/citation/CBB000340515/)
Book
Lützen, Jesper;
(2005)
Mechanistic Images in Geometric Form: Heinrich Hertz's Principles of Mechanics
(/isis/citation/CBB000650671/)
Article
Kochiras, Hylarie;
(2013)
Causal Language and the Structure of Force in Newton's System of the World
(/isis/citation/CBB001320795/)
Article
Pourciau, Bruce;
(2003)
Newton's Argument for Proposition 1 of the Principia
(/isis/citation/CBB000340514/)
Article
Erlichson, Herman;
(2003)
Passage to the Limit in Proposition I, Book I of Newton's Principia
(/isis/citation/CBB000410829/)
Article
Resenfeld, Boris;
(2002)
Some Remarks on New Editions of Apollonius' Conics
(/isis/citation/CBB000740639/)
Article
Vincenzo De Risi;
(2022)
Euclid Upturned: Borelli on the Foundations of Geometry
(/isis/citation/CBB039446137/)
Book
Elsner, Bernd;
(1988)
“Apollonius Saxonicus”: Die Restitution eines verlorenen Werkes des Apollonius von Perga durch Joachim Jungius, Woldeck Weland und Johannes Müller
(/isis/citation/CBB000032907/)
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/)
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
Paolo Freguglia;
(2022)
Marinus Ghetaldus’s Supplementum Apollonij Galli. An Analysis
(/isis/citation/CBB325369886/)
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/)
Article
Rashed, Roshdi;
(2010)
L'asymptote: Apollonius et ses lecteurs
(/isis/citation/CBB001034316/)
Be the first to comment!