Published April 19, 2020 | Version v1
Journal article Open

The measurement of the circle in Naṣīr al-Dīn al-Ṭūsī's Revision of the 'middle books' (Taḥrīr al- mutawassiṭāt)

  • 1. Utrecht University


The mathematical treatises known as Taḥrīr al-mutawassiṭāt, “Revision of the Middle

books”, are a collection of Greek and Arabic treatises which were re-edited by Naṣīr

al-Dīn al-Ṭūsī. This paper explores the nature of the editorial work Ṭūsī did, showing

that it is not a simple rendering of the original text but that it involves major

revisions and in fact original additions. For the first time, a collated version of

Ṭūsī’s revision on the treatise on the measurement of the circle (by Archimedes) is

provided. A translation of the Arabic text is put side by side with a rendition of the

treatise as it was circulated before Ṭūsī’s time. An in-depth analysis of the text

elucidates the nature of Ṭūsī’s contributions to the text. This article also provides

modest corrections to earlier studies by W. R. Knorr and P. Luckey.


2012.LWCvL Tusi's Tahrir al-mutawassitat - Tarikh-e Elm, pp. 1-42.pdf

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