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Abu Sahl al-Quhi

10th century Persian mathematician, physicist and astronomer From Wikipedia, the free encyclopedia

Abū Sahl Wayjan ibn Rustam al-Kūhī (al-Qūhī; Persian: ابوسهل بیژن کوهی Abusahl Bijan-e Koohi) was a Persian[1][2] mathematician, physicist and astronomer. He was from Kuh (or Quh), an area in Tabaristan, Amol, and flourished in Baghdad in the 10th century. He is considered one of the greatest geometers, with many mathematical and astronomical writings ascribed to him.[3][4][5]

Engraving of al-Qūhī's perfect compass to draw conic sections
Died1000
Baghdad, Abbasid Caliphate
OthernameAbu Sahl Quhi
Quick facts Born, Died ...
Abu Sahl Wayjan ibn Rustam al-Quhi
ابوسهل بیژن ابن رستم کوهی
Born940
Died1000
Baghdad, Abbasid Caliphate
Other nameAbu Sahl Quhi
Academic work
EraIslamic Golden Age
(Buyid dynasty era)
Main interests
Astronomer, Mathematician
Notable works
Encyclopedia of Astronomy & Astrophysics
Notable ideas
  • Al-Qūhī's perfect compass to draw conic sections
    Pregar Ta'm
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Al-Qūhī was the leader of the astronomers working in 988 at the observatory built by the Buwayhid amir Sharaf al-Dawla in Badhdad. He wrote a treatise on the astrolabe in which he solves a number of difficult geometric problems.

In mathematics he devoted his attention to those Archimedean and Apollonian problems leading to equations higher than the second degree. He solved some of them and discussed the conditions of solvability. For example, he was able to solve the problem of inscribing an equilateral pentagon into a square, resulting in a fourth degree equation.[6] He also wrote a treatise on the "perfect compass", a compass with one leg of variable length that allows users to draw any conic section: straight lines, circles, ellipses, parabolas and hyperbolas.[7][8] It is likely that al-Qūhī invented the device.[9][10][11]

al-Qūhī proposed that the weight of bodies varies with their distance from the center of the Earth.[12] His theory of dynamics is essentially Aristotelian, though he disagreed with Aristotle in some important points.

The correspondence between al-Qūhī and Abu Ishaq al-Sabi, a high civil servant interested in mathematics, has been preserved.[13][14]

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