Al-Nayrizi


Abū’l-‘Abbās al-Faḍl ibn Ḥātim al-Nairīzī was a Persian mathematician and astronomer from Nayriz, Fars Province, Iran.
He flourished under al-Mu'tadid, Caliph from 892 to 902, and compiled astronomical tables, writing a book for al-Mu'tadid on atmospheric phenomena.
Nayrizi wrote commentaries on Ptolemy and Euclid. The latter were translated by Gerard of Cremona. Nairizi used the so-called umbra, the equivalent to the tangent, as a genuine trigonometric line.
He wrote a treatise on the spherical astrolabe, which is very elaborate and seems to be the best Persian work on the subject. It is divided into four books:
  1. Historical and critical introduction.
  2. Description of the spherical astrolabe; its superiority over plane astrolabes and all other astronomical instruments.
  3. Applications.
  4. Applications.
He gave a proof of the Pythagorean theorem using the Pythagorean tiling.
Ibn al-Nadim mentions Nayrizi as a distinguished astronomer with eight works by him listed in his book al-Fihrist.

Primary sources

*