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Abū Muḥammad Jābir ibn Aflaḥ (Arabic: أبو محمد جابر بن أفلح, Latin: Geber/Gebir; 1100–1150) was an Arab[1][2] Muslim astronomer and mathematician from Seville, who was active in 12th century al-Andalus. His work Iṣlāḥ al-Majisṭi (Correction of the Almagest) influenced Islamic, Jewish, and Christian astronomers.[3]

Jābir ibn Aflaḥ
Fictional portrait by Eulogia Merle for the Fundación Española para la Ciencia y la Tecnología (2011)
Born1100 CE
Seville, al-Andalus
Died1150 CE
Academic background
Academic work
EraIslamic Golden Age
Main interestsAstronomy, Mathematics
Notable worksIṣlāḥ al-Majisṭi (Correction of the Almagest)
Notable ideas
  • Torquetum
InfluencedAverroes, Nur ad-Din al-Betrugi

Iṣlāḥ al-Majisṭi (Correction of the Almagest)


This work is a commentary and reworking of Ptolemy's Almagest and is the first criticism of it in the Islamic West. He particularly criticized the mathematical basis of the work. For example, he replaced the use of Menelaus' theorem with ones based on spherical trigonometry, in what seems to be an attempt to increase the mathematical precision of the work. These theorems had been developed by a group of 10th century Islamic mathematicians who included Abū al-Wafā' Būzjānī and then also by Abu Abd Allah Muhammad ibn Muadh Al-Jayyani who worked in Andalusia during the 11th century. Jābir does not credit any of these authors and does not refer to a single Islamic author in this work.[3]

One substantial change Jābir made to Ptolemy's account is that he placed the orbits of Venus and Mercury, the minor planets, outside that of the Sun, rather than between the Moon and the Sun as had been the case in the original work.[3]


Inventor


The Torquetum was invented by Jabir ibn Aflah.
The Torquetum was invented by Jabir ibn Aflah.

He invented an observational instrument known as the torquetum, a mechanical device to transform between spherical coordinate systems.[4]


Influence


Several later Islamic authors were influenced by Jābir, including Ibn Rushd (Averroes) and Nur ad-Din al-Betrugi, both of whom worked in Andalusia. The work was transmitted to Egypt in the 12th century by Maimonides and further east by the end of the 13th century.[3]

The work was translated from the Arabic into both Hebrew and Latin, the latter by Gerard of Cremona, who Latinized his name as "Geber". Through that channel it had a wide influence on later European mathematicians and astronomers and helped to promote trigonometry in Europe.[3]

Much of the material on spherical trigonometry in Regiomontanus' On Triangles (c.1463) was taken directly and without credit from Jābir's work, as noted in the 16th century by Gerolamo Cardano.[5]


Notes


  1. Schlager, Neil; Lauer, Josh (2001). Science and Its Times: 700-1449. Gale Group. ISBN 9780787639341.
  2. Publishing, Britannica Educational (2013). Portugal and Spain. Britanncia Educational Publishing. ISBN 9781615309931.
  3. Calvo 2007.
  4. Lorch, R. P. (1976). "The Astronomical Instruments of Jabir ibn Aflah and the Torquetum". Centaurus. 20 (1): 11–34. Bibcode:1976Cent...20...11L. doi:10.1111/j.1600-0498.1976.tb00214.x.
  5. Victor J. Katz, ed. (2007). The Mathematics of Egypt, Mesopotamia, China, India, and Islam: A Sourcebook. Princeton University Press. ISBN 978-0-691-11485-9., p.4

References





На других языках


[de] Dschabir ibn Aflah

Abu Muhammad Dschabir ibn Aflah al-Ischbili (arabisch أبي محمد جابر بن أفلح الإشبيلي, DMG Abū Muḥammad Ǧābir b. Aflaḥ al-Išbīlī, nach anderen Umschriften auch Gabir ben Aflah und Jabir ibn Aflah al-Ishbili; * um 1100 in Sevilla; † um 1160), latinisiert auch Geber Hispalensis, war ein spanisch-arabischer Astronom und Mathematiker, der durch die Übersetzungen seiner Werke ins Lateinische den europäischen Gelehrten bekannt war und deshalb eine wichtige Rolle für die Weiterentwicklung der Mathematik in Europa spielte. Auch wenn andere muslimische Mathematiker, wie beispielsweise der Perser Abu l-Wafa, bedeutendere mathematische Fortschritte machten, wurden ihre Schriften jedoch nicht ins Lateinische übertragen und blieben den damaligen abendländischen Gelehrten daher unbekannt.
- [en] Jabir ibn Aflah

[es] Jabir ibn Aflah

Abu Muhammad Jabir ibn Aflah (en árabe أبو محمد جابر بن أفلح) (Sevilla, 1100 - 1150) fue un astrónomo, matemático e inventor andalusí, cuyo trabajo, una vez traducido al latín (bajo su nombre latinizado, Geber), influyó en otros matemáticos y astrónomos europeos más tardíos.[1][2]

[fr] Jabir Ibn Aflah

Jabir Ibn Aflah (en arabe : أبو محمد جابر بن أفلح, en latin : Geber Hispalensis), né et mort à Séville[1] (1100–1160[2]) est un mathématicien et astronome arabe d'Al-Andalus.

[it] Jabir ibn Aflah al-Ishbili

Jābir ibn Aflaḥ al-Ishbīlī, latinizzato in Geber, da non confondersi con Gabir ibn Hayyan (in arabo: جابر بن أفلح الاشبيلي‎; Siviglia, fine XI secolo – Siviglia, 1150), è stato un matematico e astronomo arabo della Spagna islamica (al-Andalus).

[ru] Джабир ибн Афлах

Абу Мухаммад Джабир ибн Афлах ал-Ишбили (араб. أبو محمد جابر بن أفلح‎), (первая половина XII в.) — западноарабский математик и астроном, уроженец Севильи. В средневековой Западной Европе был известен под именем Geber Hispalensis.



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