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A zij ( fa, زيج, zīj) is an Islamic astronomical book that tabulates
parameters A parameter (), generally, is any characteristic that can help in defining or classifying a particular system (meaning an event, project, object, situation, etc.). That is, a parameter is an element of a system that is useful, or critical, when ...
used for
astronomical Astronomy () is a natural science that studies celestial objects and phenomena. It uses mathematics, physics, and chemistry in order to explain their origin and evolution. Objects of interest include planets, moons, stars, nebulae, galaxi ...
calculations of the positions of the Sun,
Moon The Moon is Earth's only natural satellite. It is the fifth largest satellite in the Solar System and the largest and most massive relative to its parent planet, with a diameter about one-quarter that of Earth (comparable to the width of ...
, stars, and
planet A planet is a large, rounded astronomical body that is neither a star nor its remnant. The best available theory of planet formation is the nebular hypothesis, which posits that an interstellar cloud collapses out of a nebula to create a you ...
s.


Etymology

The name ''zij'' is derived from the
Middle Persian Middle Persian or Pahlavi, also known by its endonym Pārsīk or Pārsīg () in its later form, is a Western Middle Iranian language which became the literary language of the Sasanian Empire. For some time after the Sasanian collapse, Middle P ...
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, .


Historically significant zijes

The
Zij-i Sultani ''Zīj-i Sulṭānī'' ( fa, زیجِ سلطانی) is a Zij astronomical table and star catalogue that was published by Ulugh Beg in 1438–1439. It was the joint product of the work of a group of Muslim astronomers working under the patronage ...
published by
Ulugh Beg Mīrzā Muhammad Tāraghay bin Shāhrukh ( chg, میرزا محمد طارق بن شاہ رخ, fa, میرزا محمد تراغای بن شاہ رخ), better known as Ulugh Beg () (22 March 1394 – 27 October 1449), was a Timurid sultan, as ...
in 1438/9, was utilized as a reference zij throughout Islam during the early modern era.
Omar Khayyam Ghiyāth al-Dīn Abū al-Fatḥ ʿUmar ibn Ibrāhīm Nīsābūrī (18 May 1048 – 4 December 1131), commonly known as Omar Khayyam ( fa, عمر خیّام), was a polymath, known for his contributions to mathematics, astronomy, philosophy, an ...
'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 Mughal Empire was an early-modern empire that controlled much of South Asia between the 16th and 19th centuries. Quote: "Although the first two Timurid emperors and many of their noblemen were recent migrants to the subcontinent, the d ...
.


History

Some of the early ''zījes'' tabulated data from Indian planetary theory (known as the Sindhind) and from pre-Islamic
Sassanid Persian Persian (), also known by its endonym Farsi (, ', ), is a Western Iranian language belonging to the Iranian branch of the Indo-Iranian subdivision of the Indo-European languages. Persian is a pluricentric language predominantly spoken an ...
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
Ptolemy Claudius Ptolemy (; grc-gre, Πτολεμαῖος, ; la, Claudius Ptolemaeus; AD) was a mathematician, astronomer, astrologer, geographer, and music theorist, who wrote about a dozen scientific treatises, three of which were of importanc ...
, the ''Zij-i Shah'' compiled in Sassanid Persia, and the Indian Siddhantas by
Aryabhata Aryabhata ( ISO: ) or Aryabhata I (476–550 CE) was an Indian mathematician and astronomer of the classical age of Indian mathematics and Indian astronomy. He flourished in the Gupta Era and produced works such as the ''Aryabhatiya'' (which ...
and
Brahmagupta Brahmagupta ( – ) was an Indian mathematician and astronomer. He is the author of two early works on mathematics and astronomy: the '' Brāhmasphuṭasiddhānta'' (BSS, "correctly established doctrine of Brahma", dated 628), a theoretical tr ...
. Muslim ''zijes'', however, were more extensive, and typically included materials on
chronology Chronology (from Latin ''chronologia'', from Ancient Greek , ''chrónos'', "time"; and , ''-logia'') is the science of arranging events in their order of occurrence in time. Consider, for example, the use of a timeline or sequence of even ...
, geographical
latitude In geography, latitude is a coordinate that specifies the north– south position of a point on the surface of the Earth or another celestial body. Latitude is given as an angle that ranges from –90° at the south pole to 90° at the north ...
s and
longitude Longitude (, ) is a geographic coordinate that specifies the east– west position of a point on the surface of the Earth, or another celestial body. It is an angular measurement, usually expressed in degrees and denoted by the Greek let ...
s,
star A star is an astronomical object comprising a luminous spheroid of plasma (physics), plasma held together by its gravity. The List of nearest stars and brown dwarfs, nearest star to Earth is the Sun. Many other stars are visible to the naked ...
tables, trigonometrical functions, functions in
spherical astronomy Spherical astronomy, or positional astronomy, is a branch of observational astronomy used to locate astronomical objects on the celestial sphere, as seen at a particular date, time, and location on Earth. It relies on the mathematical methods of ...
, the
equation of time In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign . The word ''equation'' and its cognates in other languages may have subtly different meanings; for example, in F ...
, planetary motions, computation of
eclipses An eclipse is an astronomical event that occurs when an astronomical object or spacecraft is temporarily obscured, by passing into the shadow of another body or by having another body pass between it and the viewer. This alignment of three ce ...
, tables for first visibility of the lunar crescent, astronomical and/or astrological computations, and instructions for astronomical calculations using epicyclic
geocentric In astronomy, the geocentric model (also known as geocentrism, often exemplified specifically by the Ptolemaic system) is a superseded description of the Universe with Earth at the center. Under most geocentric models, the Sun, Moon, stars, an ...
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-Shatir ʿAbu al-Ḥasan Alāʾ al‐Dīn ʿAlī ibn Ibrāhīm al-Ansari known as Ibn al-Shatir or Ibn ash-Shatir ( ar, ابن الشاطر; 1304–1375) was an Arab astronomer, mathematician and engineer. He worked as ''muwaqqit'' (موقت, religious t ...
'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 Baghdad (; ar, بَغْدَاد , ) is the capital of Iraq and the second-largest city in the Arab world after Cairo. It is located on the Tigris near the ruins of the ancient city of Babylon and the Sassanid Persian capital of Ctesiphon ...
under the
Abbasid The Abbasid Caliphate ( or ; ar, الْخِلَافَةُ الْعَبَّاسِيَّة, ') was the third caliphate to succeed the Islamic prophet Muhammad. It was founded by a dynasty descended from Muhammad's uncle, Abbas ibn Abdul-Mutta ...
caliph A caliphate or khilāfah ( ar, خِلَافَة, ) is an institution or public office under the leadership of an Islamic steward with the title of caliph (; ar, خَلِيفَة , ), a person considered a political-religious successor to th ...
s in the 9th century, the
Maragheh observatory The Maragheh observatory (Persian: رصدخانه مراغه), also spelled Maragha, Maragah, Marageh, and Maraga, was an astronomical observatory established in the mid 13th century under the patronage of the Ilkhanid Hulagu and the directorship ...
in the 13th century, the
Samarkand fa, سمرقند , native_name_lang = , settlement_type = City , image_skyline = , image_caption = Clockwise from the top:Registan square, Shah-i-Zinda necropolis, Bibi-Khanym Mosque, view inside Shah-i-Zinda, ...
observatory in the 15th century, and the Constantinople Observatory of Taqi ad-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 Jai Singh II (3 November 1681 – 21 September 1743) popularly known as Sawai Jai Singh was the 29th Kachwaha Rajput ruler of the Kingdom of Amber, who later founded the fortified city of Jaipur and made it his capital. He was born at Amber, the ...
's
Jantar Mantar A Jantar Mantar ( Hindustani pronunciation: ͡ʒən̪t̪ər mən̪t̪ər is an assembly of stone-built astronomical instruments, designed to be used with the naked eye. There were five Jantar Mantars in India, all of them built at the com ...
observatories. It is notable for employing the use of
telescopic A telescope is an instrument designed for the observation of remote objects. Telescope(s) also may refer to: Music * The Telescopes, a British psychedelic band * ''Telescope'' (album), by Circle, 2007 * ''The Telescope'' (album), by Her Space H ...
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 Ustad Bahadur Khan (born Bahadur Hossain Khan; 19 January 1931 – 3 October 1989) was an Indian sarod player and film score composer. Early life and family Ustad Bahadur Khan, a Bengali, was born on 19 January 1931 in Shibpur, Brahmanbaria, ...
. The treatise incorporated the
heliocentric Heliocentrism (also known as the Heliocentric model) is the astronomical model in which the Earth and planets revolve around the Sun at the center of the universe. Historically, heliocentrism was opposed to geocentrism, which placed the Earth ...
system into the ''zīj'' tradition.


List of ''zīj''es

* ''Az-Zīj ‛alā Sinī al-‛Arab'' — by
Ibrahim al-Fazari Ibrahim ( ar, إبراهيم, links=no ') is the Arabic name for Abraham, a Biblical patriarch and prophet in Islam. For the Islamic view of Ibrahim, see Abraham in Islam. Ibrahim may also refer to: * Ibrahim (name), a name (and list of people w ...
(d. 777) and Muhammad al-Fazari (d. 796/806) * '' Az-Zīj al-Mahlul min as-Sindhind li-Darajat Daraja'' — by
Yaʿqūb ibn Ṭāriq Yaʿqūb ibn Ṭāriq (; died AD) was an 8th-century Persian astronomer and mathematician who lived in Baghdad. Works Works ascribed to Yaʿqūb ibn Ṭāriq include:Plofker * (, "Astronomical tables in the ''Sindhind'' resolved for each degr ...
(d. 796) * ''Zīj al-Sindhind'' — by
al-Khwarizmi Muḥammad ibn Mūsā al-Khwārizmī ( ar, محمد بن موسى الخوارزمي, Muḥammad ibn Musā al-Khwārazmi; ), or al-Khwarizmi, was a Persian polymath from Khwarazm, who produced vastly influential works in mathematics, astronom ...
(c. 780–850) * ''Az-Zij as-Sabi'' — by
Muhammad ibn Jābir al-Harrānī al-Battānī Abū ʿAbd Allāh Muḥammad ibn Jābir ibn Sinān al-Raqqī al-Ḥarrānī aṣ-Ṣābiʾ al-Battānī ( ar, محمد بن جابر بن سنان البتاني) ( Latinized as Albategnius, Albategni or Albatenius) (c. 858 – 929) was an astron ...
(Albatenius) (853–929) * ''Zij al-Safa'ih'' (''Tables of the disks of the
astrolabe An astrolabe ( grc, ἀστρολάβος ; ar, ٱلأَسْطُرلاب ; persian, ستاره‌یاب ) is an ancient astronomical instrument that was a handheld model of the universe. Its various functions also make it an elaborate inclin ...
'') — by
Abū Ja'far al-Khāzin Abu Jafar Muhammad ibn Husayn Khazin ( fa, ابوجعفر خازن خراسانی; 900–971), also called Al-Khazin, was an Iranian Muslim astronomer and mathematician from Khorasan. He worked on both astronomy and number theory. Al-Khazin wa ...
(900–971) * ''Zij al-Kabir al-Hakimi'' — by
Ibn Yunus Abu al-Hasan 'Ali ibn 'Abd al-Rahman ibn Ahmad ibn Yunus al-Sadafi al-Misri (Arabic: ابن يونس; c. 950 – 1009) was an important Egyptian astronomer and mathematician, whose works are noted for being ahead of their time, having been based ...
(c. 950–1009) * ''Az-Zīj al-Jamī wal-Baligh'' (''The Comprehensive and Mature Tables'') — by
Kushyar ibn Labban Abul-Hasan Kūshyār ibn Labbān ibn Bashahri Daylami (971–1029), also known as Kūshyār Daylami ( fa, کوشیار دیلمی), was an Iranian mathematician, geographer, and astronomer from Daylam, south of the Caspian Sea, Iran. Career His ...
(971–1029) * ''Zīj-i Malik-Shāhī (Astronomical Handbook with Tables for Malikshah)'' (1079) ''—'' by
Omar Khayyam Ghiyāth al-Dīn Abū al-Fatḥ ʿUmar ibn Ibrāhīm Nīsābūrī (18 May 1048 – 4 December 1131), commonly known as Omar Khayyam ( fa, عمر خیّام), was a polymath, known for his contributions to mathematics, astronomy, philosophy, an ...
(1048–1141) * '' Almanac of Azarqueil'' (1088) — by Abū Ishāq Ibrāhīm al-Zarqālī (Azarqueil) (1028–1087) * ''
Tables of Toledo The ''Toledan Tables'', or ''Tables of Toledo'', were astronomical tables which were used to predict the movements of the Sun, Moon and planets relative to the fixed stars. They were a collection of mathematic tables that describe different aspe ...
'' — based on Abū Ishāq Ibrāhīm al-Zarqālī (Azarqueil) (1028–1087) * ''Az-Zīj As-Sanjarī'' (''Sinjaric Tables'') — by al-Khazini (
fl. ''Floruit'' (; abbreviated fl. or occasionally flor.; from Latin for "they flourished") denotes a date or period during which a person was known to have been alive or active. In English, the unabbreviated word may also be used as a noun indicatin ...
1115–1130) * '' Zij-i Ilkhani'' — by
Nasīr al-Dīn al-Tūsī Muhammad ibn Muhammad ibn al-Hasan al-Tūsī ( fa, محمد ابن محمد ابن حسن طوسی 18 February 1201 – 26 June 1274), better known as Nasir al-Din al-Tusi ( fa, نصیر الدین طوسی, links=no; or simply Tusi in the West ...
(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 Ghiyāth al-Dīn Jamshīd Masʿūd al-Kāshī (or al-Kāshānī) ( fa, غیاث الدین جمشید کاشانی ''Ghiyās-ud-dīn Jamshīd Kāshānī'') (c. 1380 Kashan, Iran – 22 June 1429 Samarkand, Transoxania) was a Persian astronomer ...
(1380–1429) * ''
Zij-i-Sultani ''Zīj-i Sulṭānī'' ( fa, زیجِ سلطانی) is a Zij astronomical table and star catalogue that was published by Ulugh Beg in 1438–1439. It was the joint product of the work of a group of Muslim astronomers working under the patronag ...
'' (1437) — by
Ulugh Beg Mīrzā Muhammad Tāraghay bin Shāhrukh ( chg, میرزا محمد طارق بن شاہ رخ, fa, میرزا محمد تراغای بن شاہ رخ), better known as Ulugh Beg () (22 March 1394 – 27 October 1449), was a Timurid sultan, as ...
(1393–1449) * ''Unbored Pearl'' (1579–1580) — by
Taqi al-Din Muhammad ibn Ma'ruf Taqi ad-Din Muhammad ibn Ma'ruf ash-Shami al-Asadi ( ar, تقي الدين محمد بن معروف الشامي; ota, تقي الدين محمد بن معروف الشامي السعدي; tr, Takiyüddin‎ 1526–1585) was an Ottoman poly ...
(1526–1585) * ''Zij-i Muhammad Shahi'' — by
Jai Singh II of Amber Jai Singh II (3 November 1681 – 21 September 1743) popularly known as Sawai Jai Singh was the 29th Kachwaha Rajput ruler of the Kingdom of Amber, who later founded the fortified city of Jaipur and made it his capital. He was born at Amber, the ...
(1688–1743) * ''Zij-i Bahadurkhani'' (1838) — by Ghulam Hussain Jaunpuri (1760–1862)


See also

*
Astrometry Astrometry is a branch of astronomy that involves precise measurements of the positions and movements of stars and other celestial bodies. It provides the kinematics and physical origin of the Solar System and this galaxy, the Milky Way. Hist ...
*
Epoch (astronomy) In astronomy, an epoch or reference epoch is a moment in time used as a reference point for some time-varying astronomical quantity. It is useful for the celestial coordinates or orbital elements of a celestial body, as they are subject to per ...
*
Ephemeris In astronomy and celestial navigation, an ephemeris (pl. ephemerides; ) is a book with tables that gives the trajectory of naturally occurring astronomical objects as well as artificial satellites in the sky, i.e., the position (and possibly ...
*
Star catalogue A star catalogue is an astronomical catalogue that lists stars. In astronomy, many stars are referred to simply by catalogue numbers. There are a great many different star catalogues which have been produced for different purposes over the years ...


Notes


References

* E. S. Kennedy. "A Survey of Islamic Astronomical Tables". ''Transactions of the American Philosophical Society'', New Series, 46, 2. Philadelphia, 1956. (A revised version in preparation b
Benno van Dalen
will include over 200 zijes).


Further reading


Islam, Quran and Science: A List of Islamic Astronomical Tables
by Zakaria Virk {{histOfScience Astronomical works of the medieval Islamic world Astrological works of the medieval Islamic world Astronomical tables Persian words and phrases