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Euclidean Geometry in Two Medieval Islamic Encyclopaedias

Euclidean Geometry in Two Medieval Islamic Encyclopaedias Two early encyclopaedic treatises, written in Arabic, include extensive discussion of geometry. Although both the Rasā'il Ikhwān al-Safā' and the Kitāb al-Shifā' fall within the Euclidean tradition, their style and content differ radically. The Neo-Pythagorean and Neo-Platonic Ikhwān al-Safā' place mathematics at the head of their encyclopaedia, but develop their discussion of geometry using a "sub-Euclidean" approach. Ibn Sīnā, whose orientation is broadly Aristotelian, includes an epitome of Euclid's Elements in its entirety, yet modifies the text at numerous points. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Al-Masaq: Journal of the Medieval Mediterranean Taylor & Francis

Euclidean Geometry in Two Medieval Islamic Encyclopaedias

14 pages

Euclidean Geometry in Two Medieval Islamic Encyclopaedias

Abstract

Two early encyclopaedic treatises, written in Arabic, include extensive discussion of geometry. Although both the Rasā'il Ikhwān al-Safā' and the Kitāb al-Shifā' fall within the Euclidean tradition, their style and content differ radically. The Neo-Pythagorean and Neo-Platonic Ikhwān al-Safā' place mathematics at the head of their encyclopaedia, but develop their discussion of geometry using a "sub-Euclidean" approach. Ibn...
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Publisher
Taylor & Francis
Copyright
Copyright Taylor & Francis Group, LLC
ISSN
1473-348X
eISSN
0950-3110
DOI
10.1080/09503110220114443
Publisher site
See Article on Publisher Site

Abstract

Two early encyclopaedic treatises, written in Arabic, include extensive discussion of geometry. Although both the Rasā'il Ikhwān al-Safā' and the Kitāb al-Shifā' fall within the Euclidean tradition, their style and content differ radically. The Neo-Pythagorean and Neo-Platonic Ikhwān al-Safā' place mathematics at the head of their encyclopaedia, but develop their discussion of geometry using a "sub-Euclidean" approach. Ibn Sīnā, whose orientation is broadly Aristotelian, includes an epitome of Euclid's Elements in its entirety, yet modifies the text at numerous points.

Journal

Al-Masaq: Journal of the Medieval MediterraneanTaylor & Francis

Published: Mar 1, 2002

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