Bijan Vahabzadeh
Biographic Data
| ID | 9294493 |
|---|---|
| NAME | Bijan Vahabzadeh |
| GIVEN NAMES | Bijan |
| FAMILY NAME | Vahabzadeh |
| SIGNATURE | VAHABZADEH B |
| AFFILIATIONS | 19 rue Merle-D'Aubigné, 1207 Genève, Suisse |
| VERIFIED | No |
| TOTAL WORKS | 4 |
| TOTAL CITATIONS | 0 |
| WORKS AS AUTHOR | 4 |
| WORKS AS EDITOR | 0 |
| FIRST PUBLICATION YEAR | 1994 |
| LATEST PUBLICATION YEAR | 2013 |
| H-INDEX | 0 |
Le Commentaire d'IBN Muʿāḏ Sur Le Concept De Rapport
The Andalusian mathematician and astronomer Ibn Muʿāḏ al-Jayyānī (11 th century) is the author of an important commentary on the concept of ratio, in which he attempts to justify the Euclidean definition of proportionality between magnitudes – the celebrated Definition V.5 – and that of greater ratio. In addition to an analysis of the commentary, we provide a French translation and a critical edition of the original Arabic text. We also attempted…
Al-Māhānī's Commentary on the Concept of Ratio
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 p…
Al-khayyām's Conception of Ratio and Proportionality
We have attempted in this article to describe the content of al-Khayyām's 11th century Arabic commentary on Book V of Euclid's Elements , and have translated into English what we thought were its most important passages. We have also tried to explain why some Arab mathematicians were opposed to the famous definition of proportional magnitudes found at the beginning of Book V of the Elements
Two Commentaries on Euclid's Definition of Proportional Magnitudes
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
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Two Commentaries on Euclid's Definition of Proportional Magnitudes
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
Al-khayyām's Conception of Ratio and Proportionality
We have attempted in this article to describe the content of al-Khayyām's 11th century Arabic commentary on Book V of Euclid's Elements , and have translated into English what we thought were its most important passages. We have also tried to explain why some Arab mathematicians were opposed to the famous definition of proportional magnitudes found at the beginning of Book V of the Elements
Al-Māhānī's Commentary on the Concept of Ratio
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 p…
Le Commentaire d'IBN Muʿāḏ Sur Le Concept De Rapport
The Andalusian mathematician and astronomer Ibn Muʿāḏ al-Jayyānī (11 th century) is the author of an important commentary on the concept of ratio, in which he attempts to justify the Euclidean definition of proportionality between magnitudes – the celebrated Definition V.5 – and that of greater ratio. In addition to an analysis of the commentary, we provide a French translation and a critical edition of the original Arabic text. We also attempted…
History and Theory of Mathematics (4 works) · Mathematics (4 works) · Philosophy (4 works) · Arabic (3 works) · Art (3 works) · Historical Astronomy and Related Studies (3 works) · Linguistics (3 works) · Literature (3 works) · Epistemology (2 works) · Euclidean geometry (2 works)