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Abu Sahl al-Quhi

10th century Persian mathematician, physicist and astronomer

Abu Sahl al-Quhi

10th century Persian mathematician, physicist and astronomer

FieldValue
nameAbu Sahl Wayjan ibn Rustam al-Quhi
imageMesue. Watercolour. Wellcome V0006562.jpg
other_namesAbu Sahl Quhi
captionAl Quhi's official
birth_date940
birth_placeAmol, Abbasid Caliphate
death_date1000
death_placeBaghdad, Abbasid Caliphate
eraIslamic Golden Age
(Buyid dynasty era)
main_interestsAstronomer, Mathematician
notable_ideas
major_works*Encyclopedia of Astronomy & Astrophysics*

(Buyid dynasty era)

ar (ar; Abusahl Bijan-e Koohi) was a Persian 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.

Engraving of al-Qūhī's perfect compass to draw conic sections

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. 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. It is likely that al-Qūhī invented the device.

Like Aristotle, al-Qūhī proposed that the weight of bodies varies with their distance from the center of the Earth.

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

References

References

  1. "The first steps for learning optics : Ibn Sahl's, Al-Khayam's and Young's works on refraction as typical examples". II.
  2. [http://adsabs.harvard.edu/abs/2000eaa..bookE3410. al-Qūhī, Abu Sahl Wayjan ibn Rustam (c. 940-c. 1000)]
  3. Suter, ''Die Mathematiker und Astronomen der Araber'' (75-76, 1900). In his treatise On Rising Times, he wrote that he had also investigated astronomy as well as centers of gravity and optics. His Perfect Compass, for example, represented a step beyond [[Ibn Sina]]’s pointwise constructions of conic sections and described an instrument al-Qūhī characterized as useful for drawing these sections on sundials and astrolabes.
  4. Berggren, Len. (2007). "Kūhī: Abū Sahl Wījan ibn Rustam [Wustam] al-Kūhī [al-Qūhī]". Springer.
  5. [[Jan Hogendijk]] (1984) "al-Kuhi's construction of an equilateral pentagon in a given square", ''Zeitschrift für Gesch. Arab.-Islam. Wiss.'' 1: 100-144; correction and addendum Volume 4, 1986/87, p.267
  6. "Abu Sahl Waijan ibn Rustam al-Qūhī". MacTutor.
  7. [[Jan Hogendijk]] (2008) "Two beautiful geometrical theorems by Abu Sahl Kuhi in a 17th century Dutch translation", ''Ta'rikh-e Elm: Iranian Journal for the History of Science'' 6: 1-36
  8. Thomas de Vittori. "The Perfect Compass: Conics, Movement and Mathematics around the 10th century".
  9. Rashed, Roshdi. (1996}} Reviews: Seyyed Hossein Nasr (1998) in ''Isis'' '''89''' (1) pp. 112-113 {{JSTOR). "Les Mathématiques Infinitésimales du IXe au XIe Siècle '''1''': Fondateurs et commentateurs: Banū Mūsā, Ibn Qurra, Ibn Sīnān, al-Khāzin, al-Qūhī, Ibn al-Samḥ, Ibn Hūd".
  10. John Lennart Berggren, Hogendijk: ''The Fragments of Abu Sahl al-Kuhi's Lost Geometrical Works in the Writings of al-Sijzi'', in: C. Burnett, J.P. Hogendijk, K. Plofker, M. Yano (eds): ''Studies in the History of the Exact Sciences in Honour of [[David Pingree]]'', Leiden: Brill, 2003, pp. 605–665
  11. Mohammed Abattouy (2002), "The Arabic Science of weights: A Report on an Ongoing Research Project", ''The Bulletin of the Royal Institute for Inter-Faith Studies'' '''4''', p. 109-130
  12. Berggren: "The correspondence of Abu Sahl al-Kuhi and Abu Ishaq al-Sabi: a translation with commentaries", ''J. Hist. Arabic Sci.'', volume 7, 1983, pp. 39-124.
  13. M. Steinschnieder, ''Lettere intorno ad Alcuhi a D. Bald''. Boncompagni (Roma, 1863)
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