ʿAbd al-Hamīd ibn Turk (fl. 830),
known also as ʿAbd al-Hamīd ibn Wase ibn Turk Jili (Arabic: ابومحمد عبدالحمید بن واسع بن ترک الجیلی) was a ninth-century Muslim mathematician. Not much is known
about his biography.
The two records of him,
one by Ibn Nadim and the other by al-Qifti are not identical.
Al-Qifi mentions his name as ʿAbd al-Hamīd ibn Wase ibn Turk al-Jili. Jili
means from Gilan. On the other hand, Ibn Nadim mentions his
nisbah as khuttali (ختلی), which is
a region located in north of the Oxus and west of Badakhshan. In one of
the two remaining manuscripts of his al-jabr wa al-muqabila, the
recording of his nisbah is closer to al-Jili. David
Pingree / Encyclopaedia Iranica states that he originally
hailed from Khuttal or Gilan.
He wrote a work on
algebra of which only a chapter called "Logical Necessities in Mixed
Equations", on the solution of quadratic equations, has survived.
He authored a
manuscript entitled Logical Necessities in Mixed Equations, which is very
similar to al-Khwarzimi's Al-Jabr and was published at around the same time as,
or even possibly earlier than, Al-Jabr. The manuscript gives exactly the same
geometric demonstration as is found in Al-Jabr, and in one case the same
example as found in Al-Jabr, and even goes beyond Al-Jabr by giving a geometric
proof that if the discriminant is negative then the quadratic equation has no
solution. The similarity between these two works has led some historians to
conclude that algebra may have been well developed by the time of al-Khwarizmi
and 'Abd al-Hamid.
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Mathematician
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