Al-Māhānī's Commentary on the Concept of Ratio
Bibliographic Data
| ID | 20399886 |
|---|---|
| Authors | Bijan Vahabzadeh (19 rue Merle-D'Aubigné, 1207 Genève, Suisse, corresponding author) |
| Year | 2002 |
| Volume | 12 |
| Issue | 1 |
| Pages | 9-52 |
| Publication date | 2002-03-01 |
| 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/s0957423902002023 |
| OpenAlex | W2125870765 |
| Language | EN |
| Citations received | 2 |
The mathematician al-Māhānī (9th century AD) is the author of one of the first commentaries on the fifth Book of Euclid's Elements which have been handed down to us. In this commentary, al-Māhānī intends to justify Definitions V. 5 and V. 7 of the Elements , which deal with the identity of ratios and with greater ratio, by starting from an anthyphairetic conception of ratio, and by proving the equivalence of the Euclidean and the anthyphairetic points of view. We will try in this paper to describe in detail the content of al-Māhānī's commentary, basing ourselves on a thorough examination of most of the extant manuscripts of the Arabic text. The reader will also find in the appendices a mathematical commentary, an English translation, and a critical edition of al-Māhānī's commentary
Aesthetics · Arabic · Art · Epistemology · Euclidean geometry · Extant taxon · Geometry · Linguistics · Literature · Mathematical analysis · Historical Astronomy and Related Studies · History and Theory of Mathematics · Mathematics · Medicine · Medieval and Classical Philosophy · Philosophy · Orthodontics
| Citations per year | 0.08 |
|---|---|
| Citation span | 2002 - 2013 (12) |
| Highly cited | No |