Borelli’s edition of books V–VII of Apollonius’s Conics, and Lemma 12 in Newton’s Principia
| Autor: | Alessandra Fiocca, Andrea Del Centina |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
SH5_11
Lemma (mathematics) Philosophy of science 060102 archaeology Borelli’s edition of books V–VII of Apollonius’s Conics Lemma 12 in Newton’s Principia Philosophy Socio-culturale Proposition 06 humanities and the arts Ellipse Borelli’s edition of books V–VII of Apollonius’s Conics Lemma 12 in Newton’s Principia PE1_1 Mathematics (miscellaneous) 060105 history of science technology & medicine History and Philosophy of Science Conic section 0601 history and archaeology History of science Classics |
| Zdroj: | Archive for History of Exact Sciences. 74:255-279 |
| ISSN: | 1432-0657 0003-9519 |
| DOI: | 10.1007/s00407-019-00244-w |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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