Al-Khalili
شمس الدين عبد الله محمد بن محمد الخليلي
A table compiled by al-Khalili showing the direction of the qibla from various longitudes and latitudes
Born	1320
Died	1380
Academic work
Era	Islamic Golden Age
Main interests	Astronomer; muwaqqit

Shams al-Dīn Abū ʿAbd Allāh Muḥammad ibn Muḥammad al-Khalīlī (Arabic: شمس الدين عبد الله محمد بن محمد الخليلي; 1320–1380) was a Mamluk-era Syrian astronomer who compiled astronomical tables. He worked for most of his life as a muwaqqit (a religious timekeeper) at the Umayyad Mosque in Damascus.^[1]

Little is known about his life.

Al-Khalili is known for two sets of mathematical tables he constructed, both totalling roughly 30,000 entries. He tabulated all the entries made by the celebrated Egyptian Muslim astronomer Ibn Yunus, except for the entries that al-Khalili made himself for the city of Damascus. He computed 13,000 entries into his 'Universal Tables' of different auxiliary functions which allowed him to generate the solutions of standard problems of spherical astronomy for any given latitude. In addition to this, he created a 3,000 entry table that gave the qibla (the direction of the city of Mecca) for all latitudes and longitudes for all the Muslim countries of the 14th century.^{[2][note 1]} The values present in al-Khalili’s tables have been determined to be accurate up to three or four significant figures. It is not known how exactly al-Khalili went about calculating each of his entries.^[3]

• Van Brummelen, G. (1991). "The numerical structure of al-Khalili's auxiliary tables" (thesis). Rivista Internazionale di Storia della Scienza. 28 (3): 667–697. ISSN 0031-9414.
• King, David A. (1973). "Al-Khalili's Auxiliary Tables for Solving Problems of Spherical Astronomy". Journal for the History of Astronomy. 4 (2): 99–110. Bibcode:1973JHA.....4...99K. doi:10.1177/002182867300400202. ISSN 0021-8286. S2CID 116031361.
• King, David A. (1975). "Al-Khalīlī's Qibla Table". Journal of Near Eastern Studies. 34 (2): 81–122. doi:10.1086/372399. ISSN 0022-2968. JSTOR 545208. S2CID 162253735.

• King, David A. (2007). "Wābkanawī: Shams al-Munajjim [Shams al-Dīn] Muḥammad ibn ҁAlī Khwāja al-Wābkanawī [Wābkanawī]". In Hockey, Thomas; et al. (eds.). The Biographical Encyclopedia of Astronomers. Springer. pp. 625–626. doi:10.1007/978-0-387-30400-7_1433. ISBN 978-1-4419-9918-4.(PDF version)
• O'Connor, John J.; Robertson, Edmund F. "Shams al-Din Abu Abdallah Al-Khalili". MacTutor. University of St Andrews. Retrieved 26 February 2023.
• King, David A. (1981). "Khalīlī, Shams al-Dīn Abū ʿAbdallāh Muḥammad Ibn Muḥammad al-". In Gillispie, Charles Coulston; Holmes, Frederic Lawrence (eds.). Dictionary of Scientific Biography. New York: Scribner. OCLC 755137603 – via encyclopaedia.com.
• Roegel, Denis (2008). "An Extension of Al-Khalīlī's Qibla Table to the Entire World". Hal-Inria. HAL. Retrieved 26 February 2023.