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Calculation of Arches and Domes in Fifteenth-Century Samarkand

In: Architecture and Mathematics from Antiquity to the Future

Author

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  • Yvonne Dold-Samplonius

    (Ruprecht-Karls-Universität Heidelberg, Institute of Mathematics)

Abstract

Al-Kashi ranks among the greatest mathematicians and astronomers in the Islamic world. He was a master computer of extraordinary ability, his wide application of iterative algorithms, and his sure touch in so laying out a computation that he controlled the maximum error and maintained a running check at all stages, in short, his talent to optimize a problem let him appear as the first modern mathematician. His Key of Arithmetic is intended for everyday use. By far the most extensive book is Book IV, On Measurements. Its last chapter, “Measuring Structures and Buildings”, is really written for practical purposes. Al-Kashi uses geometry as a tool for his calculations, not for constructions. Besides arches, vaults, and domes (qubba) al-Kashi calculates here the surface area of a stalactite vault (muqarnas), a complex architectural structure based on relatively simple geometrical elements. In addition to facilitating estimates of wages and building materials before construction, al-Kashi’s formulas may also have been used in appraising the price of a building after its completion.

Suggested Citation

  • Yvonne Dold-Samplonius, 2015. "Calculation of Arches and Domes in Fifteenth-Century Samarkand," Springer Books, in: Kim Williams & Michael J. Ostwald (ed.), Architecture and Mathematics from Antiquity to the Future, edition 127, chapter 0, pages 297-307, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-00137-1_20
    DOI: 10.1007/978-3-319-00137-1_20
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