Article ID: CBB000931193

The Role of Algebraic Inferences in Na`īm Ibn Mūsā's Collection of Geometrical Propositions (2008)

unapi

Na`im ibn Musa'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 Thabit ibn Qurra's school. A relevant characteristic of Na`im'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-Khwarizmi's equations.

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Authors & Contributors
Rashed, Roshdi
Kheirandish, Elaheh
De Young, Gregg
Violet Moller
Papadopoulo, Athanase
Wright, Owen
Concepts
Arab/Islamic world, civilization and culture
Mathematics
Translations
Medicine
Geometry
Cross-cultural interaction; cultural influence
Time Periods
9th century
10th century
Medieval
11th century
Early modern
Renaissance
Places
Baghdad (Iraq)
Salerno (Italy)
Córdoba (Spain)
Isfahan (Iran)
Middle and Near East
Cairo (Egypt)
Institutions
Ikhwān al-Ṣafā (Brethren of Purity)
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