Al-Nayrizi Explained
Abū’l-‘Abbās al-Faḍl ibn Ḥātim al-Nairīzī (Arabic: أبو العباس الفضل بن حاتم النيريزي; Persian: ابوالعباس فضل بن حاتم نیریزی; Latin: Anaritius, Nazirius,) was a Persian mathematician and astronomer from Nayriz, now in Fars Province, Iran.
Life
Little is known of al-Nairīzī, though his nisba refers to the town of Neyriz. He mentioned al-Mu'tadid, the Abbasid caliph, in his works, and so scholars have assumed that al-Nairīzī flourished in Baghdad during this period. Al-Nairīzī wrote a book for al-Mu'tadid on atmospheric phenomena. He died in .
Mathematics
Al-Nayrizi wrote a commentary to the translation in Arabic by Al-Ḥajjāj ibn Yūsuf ibn Maṭar of Euclid's Elements. Both the translation and the commentary have survived, as well as a 12th-century Latin translation by Gerard of Cremona. Al-Nayrizi's commentary contains unique extracts of two other commentaries on the Elements, produced by Hero of Alexandria and Simplicius of Cilicia.
Al-Nairīzī used the Latin: umbra (versa), the equivalent to the tangent, as a genuine trigonometric line, as did the Persian astronomer al-Marwazi before him. He gave a proof of the Pythagorean theorem using the Pythagorean tiling.
Al-Nayrizi gave a mathematical proof of the parallel postulate based on the assumption that parallel lines are equidistant. He wrote a treatise on an exact method for the numerical determination of the kibla and a text about a device for measuring the heights, widths, and depths.
Astronomy
Al-Nairīzī wrote a treatise on the spherical astrolabe, an elaborate work that seems to be the best Persian work on the subject. It is divided into four books:
- An historical and critical introduction of the astrolabe;
- A description of the instrument; and a comparison with other astronomical instruments;
- Applications of the instrument;
- Applications of the instrument.
Ibn al-Nadim mentions Nayrizi as a distinguished astronomer with eight works by him listed in his book al-Fihrist.
Al-Nayrizi's most important astronomical works, his commentary on Ptolemy's Almagest and both his zijes, are lost. He produced treatises on the spherical astrolabe and astrological conjunctions, both of which are extant.
Sources
- Book: Hogendijk . J.P. . The Encyclopaedia of Islam . 1986. Brill . Leiden . 90-04-09419-9 . 7 . https://archive.org/details/05.-encyc-islam.-new-ed-prep-num-lead-orient.-ed-ed-com-con.-bos-don-lew-pel.etc/07.EncycIslam.NewEdPrepNumLeadOrient.EdEdComCon.BosDonLewPel.etc.UndPatIUA.v7.Mif-Naz.Leid.EJBrill.1993./page/1050/mode/1up . Al-Nayrīzī.
- Nelsen . Roger B. . Paintings, plane tilings, and proofs . Math Horizons . 2003 . 11 . 2 . 58 . 10.1080/10724117.2003.12021741. 126000048 . Mathematical Association of America.
- Book: Sarton, George . George Sarton . Introduction to the History of Science . 1962 . Published for the Carnegie Institution of Washington, by the Williams & Wilkins Co . Baltimore, Maryland . 1238437 . 1 .
Texts and translations
- Book: Euclid . Abū ʹl ʹAbbās al-Fadhl ibn Hātim al-Narīzī . Euclid . Besthorn . R. O. . Heiberg . J. L. . Codex Leidensis 339, I. Euclidis Elementa . 1893 . Libraria Glydendaliana . Haunia (Copenhagen) . 66287985 . none . la, ar.
- Book: Al-Nairīzī . Abū’l-‘Abbās al-Faḍl ibn Ḥātim . Tummers . P. M. J. E. . Anaritius' Commentary on Euclid. The Latin Translation, I-IV . 1993 . Brepols . Turnhout . 978-90-70419-35-6 . none . la.
Further reading
- Book: Brentjez . Sonja . 978-3-0348-9696-2 . Demidov . S.S. . Rowe . D. . Folkerts . M. . Scriba . C.J. . Amphora . 1992 . Der Ṯābit b. Qurra zugeschriebene Zusatz I, 462 zu Euklid I, 46 in MS Leiden 399,1 . 91120 . 10.1007/978-3-0348-8599-7_5 . https://link.springer.com/chapter/10.1007/978-3-0348-8599-7_5 . none . Birkhäuser . Basel. . de.
- Encyclopedia: Thomas Hockey . DeYoung . Gregg . Nayrīzī: Abū al-ʿAbbās al-Faḍl ibn Ḥātim al-Nayrīzī . The Biographical Encyclopedia of Astronomers . Springer . 2007 . New York . 823 . 978-0-387-31022-0. etal . none. (PDF version)
- Book: Sabra . A. I. . Yvonne Dold-Samplonius . Gillispie . Charles Coulston . Holmes . Frederic Lawrence . Dictionary of Scientific Biography . 1981 . Scribner . New York . 755137603 . registration . 10 . Al-Nayrīzī, Abu'l-'Abbās Al-Faḍl Ibn Ḥātim . none . 57.
- Sezgin . Fuat . Fuat Sezgin . III. Arab mathematicians . Sezgin Online . Brill . 1 May 2023 . none . 2021. 10.1163/2667-3975_SEZO_COM_503 .
- Book: Suter . Heinrich . Heinrich Suter . Die Mathematiker und Astronomen der Araber und ihre Werke . 1900 . Teubner . Leipzig . 230703086 . 45 . none . de.
External links