« Calculating Surface Areas and Volumes in Islamic Architecture », in : Jan P. Hogendijk, Abdelhamid I. Sabra, eds., The Enterprise of Science in Islam. New Perspectives. Cambridge MA, MIT Press, 2003, pp. 235-265.
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, also wrote a large work on arithmetic called Miftāḥ al-ḥisāb. This book includes an extensive section on “measuring structures and buildings”, which deals with calculations of arches, vaults, cupolas and muqarnas based on geometrical rules. In the present article, the author (who has previously prepared various other publications on this topic) gives a general overview of Islamic architecture and then summarizes al-Kāšī’s methods.