Английская Википедия:Abu Sahl al-Quhi

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Шаблон:Short description Шаблон:Infobox scholar

Шаблон:Transl (Шаблон:Transl; Шаблон:Lang-fa 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]

Файл:Gravure originale du compas parfait par Abū Sahl al-Qūhī.jpg
Engraving of al-Qūhī's perfect compass to draw conic sections

Al-Qūhī was the leader of the astronomers working in 988 AD 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]

Like Aristotle, al-Qūhī proposed that the weight of bodies varies with their distance from the center of the Earth.[12]

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

References

Шаблон:Reflist

Further reading

Шаблон:Islamic mathematics

Шаблон:Authority control

  1. Шаблон:Cite journal
  2. 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. Шаблон:Cite encyclopedia (PDF version)
  5. Шаблон:Cite encyclopedia
  6. 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
  7. Шаблон:Cite web
  8. 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
  9. Шаблон:Cite webШаблон:Cbignore Alt URL
  10. Шаблон:Cite book Reviews: Seyyed Hossein Nasr (1998) in Isis 89 (1) pp. 112-113 Шаблон:JSTOR; Charles Burnett (1998) in Bulletin of the School of Oriental and African Studies, University of London 61 (2) p. 406 Шаблон:JSTOR.
  11. 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
  12. 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
  13. 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.
  14. M. Steinschnieder, Lettere intorno ad Alcuhi a D. Bald. Boncompagni (Roma, 1863)