Abū Ja˓far al‐Khāzin

  • Jan P. Hogendijk
Reference work entry
DOI: https://doi.org/10.1007/978-1-4020-4425-0_9197

Abū Ja˓far Muḥammad ibn al‐ḥusay al‐Khāzin was a mathematician and astronomer who lived in the early tenth century AD in Khorasān. Until recently, it was believed that there were two different mathematicians in the same period, namely Abū Ja˓far al‐Khāzin and Abū Ja˓far Muḥammad ibn al‐ḥusayn, but in 1978 Anbouba and Sezgin showed that they are the same person.

In mathematics, Abū Ja˓far al‐Khāzin is mainly known because he was the first to realize that a cubic equation could be solved geometrically by means of conic sections. Al‐Māhānī (ca. AD 850) had shown that an auxiliary problem in Archimedes’ On the Sphere and Cylinder II: 4, which Archimedes had left unsolved, could be reduced to a cubic equation of the form Open image in new window

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  1. Anbouba, A. L ‘Algèbre arabe; note annexe: identité d‘ Abū Ja˓far al‐Khāzin. Journal for History of Arabic Science 2 (1978): 98–100.Google Scholar
  2. King, D. A. New Light on the Zīj al‐ṣafā'iḥ. Centaurus 23 (1980): 105–17. Rpt. in D. A. King. Islamic Astronomical Instruments. London: Variorum, 1987.Google Scholar
  3. Lorch, R. Abū Ja˓far al‐Khāzin on Isoperimetry and the Archimedean Tradition. Zeitschrift für Geschichte der arabisch‐islamischen Wissenschaften 3 (1986): 150–229.Google Scholar
  4. Samsó, J. A Homocentric Solar Model by Abū Ja˓far al‐Khāzin. Journal for History of Arabic Science 1 (1977): 268–75.Google Scholar

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© Springer-Verlag Berlin Heidelberg New York 2008

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  • Jan P. Hogendijk

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