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Rosenfeld, Boris A. et Hogendijk, Jan P.
« A Mathematical Treatise Written in the Samarqand Observatory of Ulugh Beg ». Zeitschrift für Geschichte der Arabisch-Islamischen Wissenschaften, 15 (2002 - 2003), pp. 25-65.
The mathematician and astronomer Ġiyāṯ al-Dīn Jamšīd al-Kāšī from Kāšān, who worked at the observatory of Ulugh Beg in Samarkand until his death in 1429, devised a well-known algorithm by means of which the sine of one degree can be calculated with arbitrary accuracy. This article presents a translation of a contemporary commentary describing this algorithm, which is extent in at least eight manuscript copies (a ninth copy was recently found in Oxford), together with a facsimile of a lithograph edition of this work published in Tehran in 1881/82. Five of the extant copies attribute the commentary to al-Kāšī’s colleague at Samarkand, Qāḍī-Zāde al-Rūmī, but the first author of this article maintains that it could have been written by Ulugh Beg himself.

