He wrote commentaries on Euclid and Archimedes, and improved Ishaq ibn Hunain'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,
- <math>x^3 + c^2b = cx^2 </math>
which Muslim writers called al-Mahani's equation.
- Islamic desk reference: compiled from the Encyclopaedia of Islam - by E. van Donzel - - Page 287
- 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).
- O'Connor, John J.; Robertson, Edmund F., "Abu Abd Allah Muhammad ibn Isa Al-Mahani", MacTutor History of Mathematics archive, University of St Andrews.
- Dold-Samplonius, Yvonne (2008) [1970-80]. "Al-Māhānī, Abū ‘Abd Allāh Muḥammad Ibn ‘Īsā". Complete Dictionary of Scientific Biography. Encyclopedia.com.
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