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Abu-Mahmud Khujandi

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(Redirected fromAbu-Mahmud al-Khujandi)
10th-century Persian astronomer and mathematician
Al-Khujandi
الخجندي
Born940
Died1000 (aged 60)
Ray,Buyid dynasty (modern-dayIran)
Academic work
EraIslamic Golden Age
(Samanid dynasty era)
Main interestsAstronomer,Mathematician
Notable worksEncyclopedia of Astronomy & Astrophysics
Notable ideas
  • Al-Khūjāndī’s discovery of spherical law of sines,
    Constructed the first huge mural sextant in 994 CE

Abu Mahmud Hamid ibn al-Khidr al-Khujandi[1] (known asAbu Mahmood Khujandi,al-khujandi orKhujandi,Persian: ابومحمود خجندی,c. 940 – 1000) was aTransoxanianastronomer andmathematician born inKhujand (now part ofTajikistan) who lived in the late 10th century and helped build anobservatory, near the city ofRay (near today'sTehran), inIran.

Astronomy

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Further information:Sextant (astronomy) § Mural sextants

Khujandi worked under the patronage of theBuwayhid Amirs at the observatory nearRay, Iran, where he is known to have constructed the first hugemural sextant in 994 AD, intended to determine the Earth'saxial tilt ("obliquity of the ecliptic") to high precision.

He determined the axial tilt to be 23°32'19" for the year 994 AD. He noted that measurements by earlier astronomers had found higher values (Indians: 24°;Ptolemy 23° 51') and thus discovered that the axial tilt is not constant but is in fact (currently) decreasing. His measurement of theaxial tilt was however about 2 minutes too small, probably due to his heavy instrument settling over the course of the observations.[2][3]

Mathematics

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Khujandi stated a special case ofFermat's Last Theorem for n = 3, but his attempted proof of the theorem was incorrect. Thespherical law of sines may have also been discovered by Khujandi, but it is uncertain whether he discovered it first, or whetherAbu Nasr Mansur,Abul Wafa orNasir al-Din al-Tusi discovered it first.[4][5]

Notes

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  1. ^O'Connor, John J.;Robertson, Edmund F.,"Abu Mahmud Hamid ibn al-Khidr Al-Khujandi",MacTutor History of Mathematics Archive,University of St Andrews
  2. ^Al-Khujandī, Abū Maḥmūd Ḥāmid Ibn Al-Khiḍr,Complete Dictionary of Scientific Biography, 2008
  3. ^O'Connor, John J.;Robertson, Edmund F.,"Abu Mahmud Hamid ibn al-Khidr Al-Khujandi",MacTutor History of Mathematics Archive,University of St Andrews
  4. ^Also the 'sine law' (of geometry and trigonometry, applicable to spherical trigonometry) is attributed, among others, to khujandi. (The three others are Abul Wafa Bozjani, Nasiruddin Tusi and Abu Nasr Mansur). Razvi, Syed Abbas Hasan (1991)A history of science, technology, and culture in Central Asia, Volume 1 University of Peshawar, Peshawar, Pakistan, page 358,OCLC 26317600
  5. ^Bijli suggests that three mathematicians are in contention for the honor, khujandi, Abdul-Wafa and Mansur, leaving out Nasiruddin Tusi. Bijli, Shah Muhammad and Delli, Idarah-i Adabiyāt-i (2004)Early Muslims and their contribution to science: ninth to fourteenth century Idarah-i Adabiyat-i Delli, Delhi, India, page 44,OCLC 66527483

References

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