Athīr al-Dīn al-Abharī

Athīr al‐Dīn al‐Mufaḍḍal ibn ʿUmar ibn al‐Mufaḍḍal al‐Samarqandī al‐Abharī, also known as Athīr al‐Dīn al‐Munajjim (? probably in Abhar, Iran – 1265 or 1262^[2] Shabestar, Iran)^[1] was a philosopher, astronomer, astrologer and mathematician. Other than his influential writings, he had many famous disciples.

Life

His epithet al-Abharī suggests that he or his ancestors originally stem from the Abhar tribe.^[1] He is said to have been a student or teacher in various schools at Khurāsān, Baghdad, and Arbil, living for some time in Sivas.^[1] Ibn Khallikān reports that he was student of Kamāl al‐Dīn ibn Yūnus, but other sources state that he worked as an assistant to Fakhr al‐Dīn al‐Rāzī. He may have died of paralysis in Azerbaijan.^[1]

Works

Astronomy

• Risāla fī al‐hayʾa (Treatise on astronomy).
• Mukhtaṣar fī al‐hayʾa (Epitome on astronomy).
• Kashf al‐ḥaqāʾiq fī taḥrīr al‐daqāʾiq, where he accepts the view that the celestial bodies do not change and maintains that stars have volition and it is the source of their motion.^[1]

Mathematics

• Several works on Iṣlāḥ (Correction) of Euclid, one of which is an attempt to prove the parallel postulate, which was commented upon and criticized by Shams al-Dīn al-Samarqandī.^[1]

Philosophy

• Kitāb al-Hidāyah (Guide on Philosophy): a book dealing with the complete cycle of Hikmat, i.e., logic, natural philosophy, and metaphysics.
• Isāghūjī fi al-Manṭiq (Commentary on Porphyry's Isagoge), a treatise on logic.

Notes

References

• Sarıoğlu, Hüseyin (2007). "Abharī: Athīr al‐Dīn al‐Mufaḍḍal ibn ʿUmar ibn al‐Mufaḍḍal al‐Samarqandī al‐Abharī". In Thomas Hockey; et al. The Biographical Encyclopedia of Astronomers. New York: Springer. pp. 7–8. ISBN 978-0-387-31022-0.  (PDF version)
• Brockelmann, C. "al- Abharī , At̲h̲īr al-Dīn Mufaḍḍal b. ʿUmar." Encyclopaedia of Islam. Edited by: P. Bearman, Th. Bianquis, C.E. Bosworth, E. van Donzel and W.P. Heinrichs. Brill, 2008. Brill Online.

Further reading

• Calverley, Edwin E. (1933). "Al-Abharī's "Isāghūjī fi l-Manṭiq"". Macdonald. 

Mathematics in medieval Islam
Mathematicians (Works)	9th century 'Abd al-Hamīd ibn Turk Sind ibn Ali Al-Abbās ibn Said al-Jawharī Al-Ḥajjāj ibn Yūsuf ibn Maṭar Al-Kindi De Gradibus Al-Mahani Banū Mūsā Hunayn ibn Ishaq al-Khwārizmī The Compendious Book on Calculation by Completion and Balancing ibn Qurra Na'im ibn Musa Sahl ibn Bishr Habash al-Hasib al-Marwazi 10th century Abd al-Rahman al-Sufi Book of Fixed Stars al-Būzjānī Abū Ja'far al-Khāzin Abū Kāmil Shujāʿ ibn Aslam Abu'l-Hasan al-Uqlidisi Abu-Mahmud Khojandi Ahmad ibn Yusuf Al-Nayrizi Al-Saghani Brethren of Purity Ibn Sahl Ibn Yunus Ibrahim ibn Sinan Muhammad ibn Jābir al-Harrānī al-Battānī Sinan ibn Thabit Al-Isfahani Nazif ibn Yumn Abū Sahl al-Qūhī 11th century Abū Ishāq Ibrāhīm al-Zarqālī Abu Nasr Mansur Abū Rayḥān al-Bīrūnī Ibn al-Haytham / Alhazen Book of Optics Ibn Muʿādh al-Jayyānī Al-Karaji Al-Sijzi Alī ibn Ahmad al-Nasawī Avicenna The Book of Healing Ibn Tahir al-Baghdadi Kushyar ibn Labban Yusuf al-Mu'taman ibn Hud 12th century Al-Khazini Ibn Yahyā al-Maghribī al-Samaw'al Omar Khayyám Jabir ibn Aflah Abu Bakr al-Hassar 13th century Muhyi al-Dīn al-Maghribī Nasīr al-Dīn al-Tūsī Zij-i Ilkhani Shams al-Dīn al-Samarqandī Sharaf al-Dīn al-Tūsī Ibn al‐Ha'im al‐Ishbili Ibn Abi al-Shukr 14th century Yaʿīsh ibn Ibrāhīm al-Umawī Ibn al-Banna' al-Marrakushi Ibn al-Shatir Kamāl al-Dīn Fārisī Al-Khalili Qotb al-Din Shirazi Ahmad al-Qalqashandi 15th century Abū al-Ḥasan ibn ʿAlī al-Qalaṣādī Ali Qushji Jamshīd al-Kāshī Qāḍī Zāda al-Rūmī Ulugh Beg Ibn al-Majdi 16th century Al-Birjandi Muhammad Baqir Yazdi Taqi al-Din Ibn Hamza al-Maghribi Ibn Ghazi al-Miknasi
Other treatises	Almanac Encyclopedia of the Brethren of Purity Tables of Toledo Tabula Rogeriana Zij Zij-i-Sultani
Concepts	Alhazen's problem Islamic geometric patterns
Centers	Al-Azhar University Al-Mustansiriya University House of Knowledge House of Wisdom Istanbul observatory of Taqi al-Din Madrasah Maktab Maragheh observatory University of Al-Karaouine
Influences	Babylonian mathematics Greek mathematics Indian mathematics
Influenced	Byzantine mathematics European mathematics Indian mathematics