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Abu-Abdullah Muhammad ibn Īsa Māhānī (ابوعبدالله محمد بن عیسی ماهانی) was a Persian[1] Muslim[2][3] mathematician and astronomer from Mahan, Kermān, Persia.

A series of observations of lunar and solar eclipses and planetary conjunctions, made by him from 853 to 866, was in fact used by Ibn Yunus.

He wrote commentaries on Euclid and Archimedes, and improved Ishaq ibn Hunayn's translation of Menelaus of Alexandria's Spherics. He tried vainly to solve an Archimedean problem: to divide a sphere by means of a plane into two segments being in a given ratio of volume. That problem led to a cubic equation,

which Muslim writers called al-Mahani's equation.

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  1. ^ The encyclopaedia of Islam = Encyclopédie de l'Islam (New ed.). Leiden [u.a.]: Brill. 1993. p. 405. ISBN 9004094199. MUHAMMAD B. CISA B. AHMAD AL-MAHANI, Abu cAbd Allah, Persian mathematician and astronomer of the 3rd/9th century, who is known to have made observations at Baghdad from the years 239/854 to 252/866.  |first1= missing |last1= in Authors list (help)
  2. ^ Donzel, E. J. van (1 January 1994). Islamic Desk Reference. BRILL. p. 287. ISBN 90-04-09738-4. Muhammad b. Isa* al-Mahani: Persian mathematician and astronomer; ixth c. He wrote commentaries on Euclid's Elements, on Archimedes, and a partial revision of the deficient translation of the Spherics of Menelaus. 
  3. ^
  • H. Suter, Die Mathematiker und Astronomen der Araber 26, 1900. His failure to solve the Archimedean problem is quoted by 'Omar al-Khayyami'). See Fr. Woepcke, L'algebra d'Omar Alkhayyami 2, 96 sq. (Paris, 1851).

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