Abū Kāmil’s Book on Mensuration

Jacques Sesiano

A chapter in From Alexandria, Through Baghdad, 2014, pp 359-408 from Springer

Abstract: Abstract The Egyptian Abū Kāmil (ca. 850-ca. 930), said to be the second Arabic algebraist in time after al-Khwārizmī (ca. 820), was the first to write an algebraic treatise for trained mathematicians. Among the shorter treatises he authored, one is obviously written for a wider readership for, as Abū Kāmil himself says, it presents formulae but not, as a higher-level treatise would, demonstrations. This is the Treatise on Mensuration, which teaches how to calculate areas and volumes of the usual plane and solid figures. That is just what many ancient and mediaeval books also do. But, unlike most of them, Abū Kāmil’s also teaches the relations between sides of regular polygons and radii of inscribed and circumscribed circles.

Keywords: Great Circle; Equilateral Triangle; Regular Polygon; Short Side; Longe Side (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-36736-6_19

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DOI: 10.1007/978-3-642-36736-6_19

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