Historically significant zijes
The Zij-i Sultani published by Ulugh Beg was utilized as a reference zij throughout Islam during the early modern era. Omar Khayyam's Zij-i Malik Shahi was updated throughout the modern era under various sultanates. Zijes were updated by different empires to suit the interests of that empire, such as the simplified version of Zij-i Sultani by the Mughal empire.
The name zij is derived from the Middle Persian term zih or zīg, meaning cord. The term is believed to refer to the arrangement of threads in weaving, which was transferred to the arrangement of rows and columns in tabulated data. In addition to the term zīj, some were called by the name qānūn, derived from the equivalent Greek word, κανών.
Some of the early zījes tabulated data from Indian planetary theory (known as the Sindhind) and from pre-Islamic Sassanid Persian models, but most zījes presented data based on the Ptolemaic model. A small number of the zījes adopted their computations reflecting original observations but most only adopted their tables to reflect the use of a different calendar or geographic longitude as the basis for computations. Since most zījes generally followed earlier theory, their principal contributions reflected improved trigonometrical, computational and observational techniques.
The content of zījes were initially based on that of the Handy Tables (known in Arabic as al-Qānūn) by Egyptian astronomer Ptolemy, the Zij-i Shah compiled in Sassanid Persia, and the Indian Siddhantas by Aryabhata and Brahmagupta. Muslim zijes, however, were more extensive, and typically included materials on chronology, geographical latitudes and longitudes, star tables, trigonometrical functions, functions in spherical astronomy, the equation of time, planetary motions, computation of eclipses, tables for first visibility of the lunar crescent, astronomical and/or astrological computations, and instructions for astronomical calculations using epicyclic geocentric models. Some zījes go beyond this traditional content to explain or prove the theory or report the observations from which the tables were computed. Due to religious conflicts with astrology, many astronomers attempted to separate themselves from astrology, specifically intending for their zījes not to be used for astrological computations. However, many zījes were used this way regardless, such as Ibn al-Shāṭir's al-Zij al-jadīd.
Over 200 different zījes have been identified that were produced by Islamic astronomers during the period from the eighth to the fifteenth centuries. The greatest centers of production of zījes were Baghdad under the Abassid caliphs in the 9th century, the Maragheh observatory in the 13th century, the Samarkand observatory in the 15th century, and the Istanbul observatory of Taqi al-Din in the 16th century. Nearly 100 more zijes were also produced in India between the 16th and 18th centuries. One of the most famous Indian zijes was the Zij-i Muhammad Shahi, compiled at Jai Singh II of Amber's Jantar Mantar observatories. It is notable for employing the use of telescopic observations. The last known zij treatise was the Zij-i Bahadurkhani, written in 1838 by the Indian astronomer Ghulam Hussain Jaunpuri (1760–1862) and printed in 1855, dedicated to Bahadur Khan. The treatise incorporated the heliocentric system into the zīj tradition.
List of zījes
- Az-Zīj ‛alā Sinī al-‛Arab — by Ibrahim al-Fazari (d. 777) and Muhammad al-Fazari (d. 796/806)
- Az-Zīj al-Mahlul min as-Sindhind li-Darajat Daraja — by Yaʿqūb ibn Ṭāriq (d. 796)
- Zīj al-Sindhind — by al-Khwarizmi (c. 780-850)
- Az-Zij as-Sabi — by Muhammad ibn Jābir al-Harrānī al-Battānī (Albatenius) (853-929)
- Zij al-Safa'ih (Tables of the disks of the astrolabe) — by Abū Ja'far al-Khāzin (900-971)
- Zij al-Kabir al-Hakimi — by Ibn Yunus (c. 950-1009)
- Az-Zīj al-Jamī wal-Baligh (The Comprehensive and Mature Tables) — by Kushyar ibn Labban (971-1029)
- Zīj-i Malik-Shāhī (Astronomical Handbook with Tables for Malikshah) (1079) — by Omar Khayyam (1048-1141)
- Almanac of Azarqueil (1088) — by Abū Ishāq Ibrāhīm al-Zarqālī (Azarqueil) (1028–1087)
- Tables of Toledo — based on Abū Ishāq Ibrāhīm al-Zarqālī (Azarqueil) (1028–1087)
- Az-Zīj As-Sanjarī (Sinjaric Tables) — by al-Khazini (fl. 1115-1130)
- Zij-i Ilkhani — by Nasīr al-Dīn al-Tūsī (1201–1274)
- al-Zij al-jadīd — by Ibn al-Shāṭir (1304-1375)
- Huihui Lifa (Muslim System of Calendrical Astronomy) — published in China a number of times until the early 18th century,
- Khaqani Zij — by Jamshīd al-Kāshī (1380–1429)
- Zij-i-Sultani (1437) — by Ulugh Beg (1393–1449)
- Unbored Pearl (1579–1580) — by Taqi al-Din Muhammad ibn Ma'ruf (1526–1585)
- Zij-i Muhammad Shahi — by Jai Singh II of Amber (1688–1743)
- Zij-i Bahadurkhani (1838) — by Ghulam Hussain Jaunpuri (1760–1862)
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- Sharma, Virendra Nath (1995), Sawai Jai Singh and His Astronomy, Motilal Banarsidass Publ., pp. 8–9, ISBN 81-208-1256-5
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- S. M. Razaullah Ansari (2002), History of oriental astronomy: proceedings of the joint discussion-17 at the 23rd General Assembly of the International Astronomical Union, organised by the Commission 41 (History of Astronomy), held in Kyoto, August 25–26, 1997, Springer, p. 138, ISBN 1-4020-0657-8
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- Yunli Shi (January 2003), "The Korean Adaptation of the Chinese-Islamic Astronomical Tables", Archive for History of Exact Sciences, Springer, 57 (1): 25–60 , doi:10.1007/s00407-002-0060-z, ISSN 1432-0657
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- Islam, Quran and Science: A List of Islamic Astronomical Tables, by Zakaria Virk.