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THE ROLE OF ALGEBRAIC INFERENCES IN NA‘ĪM IBN MŪSĀ’S COLLECTION OF GEOMETRICAL PROPOSITIONS

THE ROLE OF ALGEBRAIC INFERENCES IN NA‘ĪM IBN MŪSĀ’S COLLECTION OF GEOMETRICAL PROPOSITIONS Na‘īm ibn Mūsā’s lived in Baghdad in the second half of the 9th century. He was probably not a major mathematician. Still his Collection of geometrical propositions – recently edited and translated in French by Roshdi Rashed and Christian Houzel – reflects quite well the mathematical practice that was common in Thābit ibn Qurra’s school. A relevant characteristic of Na‘īm’s treatise is its large use of a form of inferences that can be said ‘algebraic’ in a sense that will be explained. They occur both in proofs of theorems and in solutions of problems. In the latter case, they enter different sorts of problematic analyses that are mainly used to reduce the geometrical problems they are concerned with to al-Khwārizmī’s equations. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Arabic Sciences and Philosophy Cambridge University Press

THE ROLE OF ALGEBRAIC INFERENCES IN NA‘ĪM IBN MŪSĀ’S COLLECTION OF GEOMETRICAL PROPOSITIONS

Arabic Sciences and Philosophy , Volume 18 (2): 27 – Sep 1, 2008

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References (22)

Publisher
Cambridge University Press
Copyright
Copyright Cambridge University Press 2008
ISSN
0957-4239
eISSN
1474-0524
DOI
10.1017/S0957423908000532
Publisher site
See Article on Publisher Site

Abstract

Na‘īm ibn Mūsā’s lived in Baghdad in the second half of the 9th century. He was probably not a major mathematician. Still his Collection of geometrical propositions – recently edited and translated in French by Roshdi Rashed and Christian Houzel – reflects quite well the mathematical practice that was common in Thābit ibn Qurra’s school. A relevant characteristic of Na‘īm’s treatise is its large use of a form of inferences that can be said ‘algebraic’ in a sense that will be explained. They occur both in proofs of theorems and in solutions of problems. In the latter case, they enter different sorts of problematic analyses that are mainly used to reduce the geometrical problems they are concerned with to al-Khwārizmī’s equations.

Journal

Arabic Sciences and PhilosophyCambridge University Press

Published: Sep 1, 2008

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