Two Commentaries on Euclid's Definition of Proportional Magnitudes
Bibliographic Data
| ID | 20400195 |
|---|---|
| Authors | Bijan Vahabzadeh (Centre d'histoire des sciences et des philosophies arabes et médiévales, 27 rue Damesme, C.N.R.S., 75013 Paris, France, corresponding author) |
| Year | 1994 |
| Volume | 4 |
| Issue | 1 |
| Pages | 181-198 |
| Publication date | 1994-03-01 |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Arabic Sciences and Philosophy (JOURNAL) |
| Journal identifiers | ISSN: 0957-4239 • E-ISSN: 1474-0524 |
| Publisher | Liverpool University Press (PUBLISHER • GB) |
| DOI | 10.1017/s0957423900001892 |
| OpenAlex | W2022664636 |
| Language | EN |
| Citations received | 1 |
| References cited | 2 |
Euclid's definition of proportional magnitudes in the Fifth Book of the Elements gave rise to many commentaries. We examine closely two of these commentaries, one by al-Jayyānī (11th century) and the other by Saunderson (18th century). Both al-Jayyānī and Saunderson attempted to defend Euclid's definition by making explicit what Euclid had only implied. We show that the two authors explain Euclid's position in a virtually identical manner
Economics · Historical Astronomy and Related Studies · History and Theory of Mathematics · Mathematics · Philosophy
| Citations per year | 0.08 |
|---|---|
| Citation span | 2013 - 2013 (1) |
| Highly cited | No |