Sabtu, 10 September 2016

ENCYCLOPEDIA MEDIEVAL ISLAMIC PART 7

FUSTAT

  The city of Fustat (Misr al-Fustat), capital of  Islamic Egypt, was founded in 642 CE by ‘Amr ibn al-‘As when the Arabs conquered Byzantine Egypt during the reign of the caliph ‘Umar. The city was located on the eastern shore of the Nile, just below the Delta, close to the ancient Roman fortress of  Babylone (Qasr al Sham‘for the Arabs). It controlled the passageway south of the Delta. To the east of the city stands the Muqattam, a tabular mountain of white limestone stretching from the north to the south; some of its lower protuberances have allowed an urban occupation, such as the Citadel (al-Qal‘a,or Qal‘at al-Gabal),
the plateau of  Istabl ‘Antar (‘Amal Fawq). At its foundation the city was divided into plots (khitta, khitat), which the emir ‘Amr shared out to the tribes and clans. The center of the city was allotted to the People of the Banner (ahl al-raˆya): This is where the first mosque on African ground was erected, known still today as the mosque of ‘Amr.

  The real extent and density of the city founded by ‘Amr ibn al-‘As are but imperfectly known, and therefore one cannot appreciate its true importance. At the time of its foundation, the territory of  Fustat extended between the vast lake known as Birkat al-Habash in the south to the khittat  al-Hamraˆ al-quswaˆ where the Yashkur were settled in the north, that is, from the present area of  Basatıne to that of Sayyida Zaynab. This would represent a north-south extension of slightly more than 4.5 km. Fustat soon turned into a metropolis. The excavations of the Istabl ‘Antar plateau have revealed that the southern quarters of the town were densely built during the first centuries after its foundation. However, the city went through many variations throughout its history, with important territorial changes, such as extensions, recesses, and changes of location, in an area now completely absorbed by the modern metropolis.

  Throughout the twentieth century, the site of  Fustat was excavated by various archaeological missions. The first excavations, carried out by Aly
Bahgat, were published in collaboration with Albert Gabriel in 1921. In the same area, important excavations were also carried out by George T. Scanlon and Wladyslaw Kubiak (1964–1980), and later by Mutsuo Kawatoko. These investigations have revealed living quarters of the first Fatimid century, some belonging to a well-to-do class (Bahgat), others to a humbler part of the population (Scanlon). The excavations of the French Institute located in the southern part of the town were the first to reveal layers pertaining to the foundation of the Arab city, as well as a vast
necropolis of the eighth and tenth centuries.

  Few of the Fustaˆt monuments have survived. The most ancient one is the ‘Amr mosque, but it has been widened and transformed many a time, making its original state hardly discernible. The latest restorations have probably disfigured it permanently. The istabl ‘Antar excavations revealed the most ancient plan of a mosque in Egypt, as well as many mausolea belonging to the same period (that is, between ad 750
and 765). The Nilometer (Miqyas)at the southern tip of the Roda island (Rawda) is a particular kind of monument, reconstructed in 861 and used for measuring the high waters of the Nile. The mosque of Ibn Tulun is probably the most impressive monument of Fustat that can still be admired. It was inaugurated in 879 and witnesses the importation of the Mesopotamian Samarra art to Egypt. Two aqueducts have partially survived: parts of the aqueduct supplying Ibn Tulun palatial residence on Gabal Yashkur, with water coming from the lake of Birkat al-Habash,
can still be seen, as well as its saqıya. The other one, known as ‘‘the Saladin wall,’’ crossed the ruins of  Fustat and reached the foot of the citadel northeast of the city. One may also add five aqueducts dating
from the eighth to eleventh centuries, found in the excavations of  Istabl ‘Antar.

  Most of the monuments of  Fustat still to be seen are funeral constructions, their position in the cemetery, as well as their function, having spared them from destruction. One may mention the mausolea of Sab‘ Bana t and that of  Hadra ˆ al-Sharıfa in the southern part of the city, built in the begining of the eleventh century, Ikhwa ˆtYuˆsuf (1125–1150), the Imam Shafi‘ı reconstructed in 1211 in the cemetery of Qarafa. One may add numerous other mausolea to the list, many of which have been altered during their history, such as Sayyida ‘Atıˆka and Muhammad
al-Ga‘farıˆ (1122); Sayyida Ruqayya (1133); Umm Kulthum (1122); Yahyaˆal-Shaˆbihıˆ(1150); al-Hasawatı (1150); and Fa tima Khatu ˆn (1283). Various churches, as well as the synagogue of Old Cairo, have a
complex architectural history and also suffered from poor restoration. They should be added to this list.

  Today, unlike the medieval city of Cairo, Fustat offers a scattered architectural heritage, difficult to preserve, a situation that does not reflect the grandeur of its history.





Further Reading
Bahgat, A., and A. Gabriel.Fouilles d’al-Foustaˆt. Paris, 1921.
Casanova, P.Essai de Reconstitution Topographique de la
Ville d’al-Foustaˆt, MIFAO, 35, Le Caire, 1919.
Creswell, K.A.C.The Muslim Architecture of Egypt. 2 vols.,
Oxford UP, 1952–1959.
Denoix, S.De´crire Le Caire. Fustaˆt-Misr d’apre `s Ibn
Duqmaˆq et Maqrıˆzıˆ. IFAO, 1992.
———. ‘‘Les premiers sie`cles arabes.’’ In Le Caire, ed.
A. Raymond, 57–145. Paris: Citadelles & Mazenod, 2000.
Fuad Sayyed, A., and R.-P. Gayraud. ‘‘Fustaˆt-Le Caire a `
l’e ´poque fatimide.’’ InGrandes Villes Me´diterrane´ennes
du Monde Musulman Me´die´val, ed. J-Cl. Garcin, 135–
156. Rome: EFR, 2000.
Gayraud, R-P.Fustaˆt aux Origines du Caire: Les Fouilles
d’Istabl ‘Antar, IFAO, Le Caire (a ` paraıˆtre).
Kubiak, W.Al-Fustat: Its Foundation and Early Urban
Development. Cairo: AUC Press, 1987.
Kubiak, W., and G. T. Scanlon.Fustaˆt Expedition Final
Report. Vol. 2: Fustaˆt-C., ARCE, 1989.
Raymond, A.Le Caire. Paris: Fayard, 1993.
Williams, C.Islamic Monuments in Cairo: A Practical
Guide, 4th ed. AUC Press, 1993.











GANJ-I SHAKAR, FARID AD-DIN

  A prominent Sufi master of the Chishti order in India, Farid ad-Din was born in Kahtwal, a village close to Multan (Punjab) around 1175 CE, to a family that had immigrated to the region from Kabul. Receiving his early religious education (particularly in mysticism) from his mother, Farid ad-Din also attended a madrasa attached to a mosque in Multan. It was
there that he is believed to have met Qutb ad-Din Bakhtiyar Khaki, a prominent Sufi master from Delhi who initiated him into the Chishti order, an order that was rapidly becoming one of the most powerful Sufi fraternities in northern India. According to hagiographic accounts of his life, Farid ad-Din quickly became renowned in Chishti circles for his
ascetic practices, such as hanging upside in a well for 45 while meditating and praying. He also became famous for his fasts through which he is believed to have attained the power of turning stones into sugar; hence, his epithet Ganj-i Shakar (the treasure house of sugar). His asceticism was so extreme that even his own wives and children had to endure severe austerities and restrictions on his account.

  In keeping with early Chishti tradition, Farid adDin considered association with rulers to be detrimental to a life devoted to inculcating spiritual values. Hence he rejected land grants or gifts from rulers,
preferring to rely on gifts from devotees as a means of maintaining himself and his disciples. His mistrust of government and politics was so intense that he eventually decided to abandon Delhi and the political
turmoil of a capital city to settle in Ajodhan, a small, remote settlement on the Sutlej River in the Punjab. As Farid ad-Din’s fame spread throughout the region and pilgrims flocked to Ajodhan, it was eventually
renamed Pakpattan (the ferry of the pure), presumably because devotees could board the metaphorical ferry of salvation, piloted by Farid ad-Din, at this location. On Farid ad-Din’s death in 1265, a shrine complex developed around his tomb in Pakpattan. As an important north Indian pilgrimage center, Pakpattan continues to attract devotees of all religious
faiths, who come here to seek Farid ad-Din’s blessings and his intercession so that their prayers may be answered.

  Farid ad-Din played an instrumental role in the expansion of the Chishti order in north India by training several prominent disciples who eventually were responsible for consolidating the order’s authority in important cities and towns. Most prominent among them was Nizam ad-Din Awliya, the famous Chishti master of Delhi, whom he met in 1257, only a few years before his death. Shaykh Salim Chishti of Fatehpur Sikri, on account of whom the Chishti order attained great influence in the Mughal court in the sixteenth and seventeenth centuries, was also one of his spiritual descendants. Although Farid ad-Din taught his disciples classical Sufi texts, he himself is not believed to have left behind any important treatise. Oral tradition attributes to Farid ad-Din numerous poems and verses in local north Indian vernaculars, such as Panjabi and Hindawi (the earliest form of Urdu-Hindi), suggesting that he attempted to spread Sufi ideas among ordinary people by composing mystical folk poetry. A few scholars also believe that the poems ascribed to a Shaykh Farid ad-Din and incorporated into the Adigranth,the scripture of the Sikh community may also have been composed by Farid ad-Din (Ganj-i Shakar), although there is no consensus on this issue.





Further reading

Nizami, K.A.The Life and Times of Shaikh Farid ad-Din
Ganj-i Shakar. Aligarh, 1955











GENGHIS KHAN

  Genghis Khan (Mongolian: Chinggis; 1167–1227 CE) was the founder of the Mongolian world empire. Most of the information about his life is derived from the anonymous and partly mythical Mongolian source known as The Secret History of the Mongols, compiled probably around 1228. Born as Temu¨jin to a minor chieftain in northeastern Mongolia, the future Genghis Khan went through hard times as a youth. When Temu¨jin was just nine, his father Yesugei was poisoned by an enemy tribe. Yesugei’s supporters abandoned Temu¨jin’s family to its fate. Gradually, Temujin managed to attract supporters from other clans and tribes, who became hisno¨ko¨rs (followers, comrades) and began to assert his authority over his clan and over the neighboring Turco-Mongol tribes.
He advanced by forging alliances with influential leaders, then discarding them after they had served their turns. During his rise to power he attacked and executed his ‘‘sworn brother,’’ Jamuqa, and his first patron, Ong Khan. In 1184, Temujin was enthroned the khan of his tribe, the Mongols, and in 1206, an assembly of the Mongol tribes (quriltai) proclaimed him as Genghis Khan, the harsh or universal khan,
ruler of all the Mongols. Soon after the quriltai, Genghis Khan began his conquests. First, he turned to China, starting by attacking the Xi Xia dynasty in northwestern China in 1207 and reducing it into a tributary state in 1209. In 1211, Genghis Khan turned against the Jin dynasty that had ruled in Manchuria and northern China, and in 1215, he conquered its
capital in present-day Beijing. Then his attention was drawn westward. In 1218, he overran the Central Asian empire of the Qara Khitai, which had been briefly ruled by one of his old enemies in Mongolia, Kuchlug  (Gu¨chu¨lu ¨g). This conquest brought Genghis Khan face to face with the empire of the Khwarazm Shah, the strongest ruler in the eastern Islamic world. Khwarazm’s massacre of a group of merchants who served as Genghis Khan’s messengers in 1218 furnished a pretext for a long and bloody campaign against the Khwarazm Shah (1219–1224), in which
the great Transoxianan cities of  Bukhara and Samarqand were fiercely sacked, Khurasanian cities were razed to the ground, and millions of Muslims were slaughtered. Moreover, the neglect and ruin of Iran’s
irrigation system during the Mongol invasion inflicted long-term damages on Iranian agriculture. The Mongol troops chased the fleeting Khwarazm Shah to the Caspian Sea, and his son to the Indus. Returning to Mongolia on the road to the north of the Caspian Sea, Genghis Khan’s generals also conquered vast tracts of Russia. Genghis Khan’s last campaign was
the final subjugation of the Xi Xia dynasty in 1227, during which the great conqueror died.

  Genghis Khan died ruling over the territory between northern China and the Caspian Sea. Yet a part from this spectacular military success, he also
laid institutional foundations for an empire that continued to expand for several generations. One of his main achievements was the reorganization of the army: he retained the traditional decimal units (often, one hundred, one thousand, and ten thousand men) but eliminated its connection to the tribal system. Tribes (or their remnants) were divided among the
different units, which were headed by Genghis Khan’s loyal no¨kers. They replaced the former tribal elite and became a focus of loyalty and identification. This disciplined and mobile army was also armed with
an ideology, according to which Heaven entrusted Genghis Khan with the mission of world dominion, their blessing demonstrated by his spectacular success.

  Genghis Khan also created a law system for his people, known as the Yasa (jasaq), the exact form and contents of which are still debated among scholars. He also established a juridical system, which benefited
from his former decision to adopt the Uighur script for writing the Mongolian language. Genghis Khan borrowed administrators and administrative techniques from the states that came under his control,
making use of different ethnic groups, such as Khitans, Uighurs, Khwarazmians, and Chinese. The combination of the newly organized army, the unprecedented amount of devastation it created, and Mongol willingness to learn from their subjects were among the main reasons for Genghis Khan’s success.

  Despite his tolerant attitude toward Islam and religions in general, Genghis Khan’s violent invasion into the Muslim world, and his heirs’ extermination of the ‘Abbasid caliphate, earned him the reputation of an
archenemy of Islam. However, with the Islamization of the Mongols in Iran and later in southern Russia and Central Asia in the late thirteenth to mid-fourteenth centuries, Genghis Khan became the revered father of and a source of political legitimacy to several Muslim dynasties in the Turco-Iranian world. The Genghisid principle, according to which only descendants of Genghis can bear the title of khan, remained valid in
Muslim Central Asia until the nineteenth century, and the Yasa a scribed to him influenced the legal and political systems of the Uzbeks, Mughals, and Ottomans. While in the modern Arab world Genghis Khan is usually portrayed as a villain, the Turco-Iranian world gives more credit to his heroic achievements.





Further Reading

Anonymous. Shengwu qingzheng lu [Record of the Personal Campaigns of the Holy Warrior], ed. Wang Guowei.
InWang Guowei yi shu. Shanghai 1983. Vol. 13; translation of part 1 inHistoire des Campagnes de Gengis Khan.
Ed. and trans. P. Pelliot and L. Hambis. Leiden, 1951,
vol. 1.
Ibn al-Athı¯r, ‘Izz al-Dı¯n ‘Alı¯.Al-Ka¯mil fı¯al-ta’rı¯kh. 13 vols.
Beirut, 1966,.
Juwaynı¯, ‘Ala ¯’ al-Dı ¯n ‘AOˆ
a¯’-malik. Ta’rı¯kh-i Jaha¯n-Gusha¯.
Ed. M. M. Qazwı¯nı¯. 3 vols. London, 1912–1937;History
of World Conqueror. Trans. J.A. Boyle. Rpt. Manchester, 1997.
Ju ¯ zja ¯nı¯, Minha ¯j al-Dı ¯n.T¸ abaqa ¯t-i Na ¯O`
irı ¯. Ed. W. Nassau
Lees. Calcutta, 1864.
———, ed. A. Habibi. Kabul, 1342–1344/1963–1964.
2 vols;T¸ abaka ¯t-i Na ¯O`
irı ¯. Trans. H. G. Raverty. 2 vols.
London, 1881–1899.
De Rachewiltz, I., transl. and annot.The Secret History of
the Mongols: A Mongolian Epic Chronicle of the Thirteenth Century. 2 vols. Brill, 2004.
Rashı¯d al-Dı¯n, FaA
˜
lalla ¯h Abu¯ al-Khayr.Ja¯mi‘ al-tawa¯rı¯kh.
Ed. B. Karı¯mı¯. 2 vols. Tehran, 1338/1959.
Jami’u’t-tawarikh [sic] Compendium of Chronicles. 3 vols.
Trans. W.M. Thackston. Cambridge, MA, 1998–1999.

Studies

Allsen, Thomas T. ‘‘The Rise of the Mongolian Empire and
Mongolian Rule in North China.’’ InThe Cambridge
History of China, Vol. 6. Eds. H. Franke and
D. Twitchett, 321–413. Cambridge: Cambridge University Press, 1994.
De Rachewiltz, Igor.‘‘The Title ¥inggis Qan/Qa’an Reconsidered.’’ In Gedanke und Wirkung. Festschrift zum 90.
Geburstag von Nikolaus Poppe. Wiesbaden: Harrasowich, 1989, 281–298.
McChesney, Robert D.Central Asia: Foundations of
Change. Princeton, 1996.
Morgan, David O.The Mongols. Oxford: Blackwell, 1986.
———.Medieval Persia. London: Longman, 1988.
Ratchnevsky, Paul.Genghis Khan—His Life and Legacy.
Trans. T.N. Haining. Oxford: Blackwell, 1991.








GENIZA

Definition, Collection, and Contents

  Jews in the lands of Islam deposited damaged sacred books in repositories calledgenizaorgenizahprior to giving them a proper ritual burial in their cemeteries. Sacred books primarily those with the name of God written upon them were treated with the same respect as the human body and were never simply thrown away. In time, this respect accorded to sacred books was extended to written documents in general, nearly all of which contained the name of God due to the numerous blessings, invocations, and eulogies that were a part of epistolary convention. We know of genizas only in the lands of the Arabic speaking world. In Cairo, genizas have been found at a Karaite synagogue, in the Basatine cemetery, and at the Ben Ezra synagogue in Old Cairo (called Fustat in
the Middle Ages). The largest of these repositories, which is commonly referred to as the ‘‘Cairo Geniza,’’ was the one at the Ben Ezra synagogue. The contents of the Cairo Geniza were transferred to European and American libraries in the late nineteenth century.
The only geniza documents remaining in Egypt are those excavated in the 1980s by the Egyptian Department of Antiquities from three sites in the Basatine cemetery.

Genizas As a Source for Jewish History and Culture

  The contents of the Cairo Geniza, which date largely to the years 1000–1300 CE, are of  central importance for the information they provide about the history of  the local Jewish communities of medieval Egypt, the Jewish communities of Palestine and North Africa, and their relations with communities elsewhere in the Near East. Marriage contracts between Rabbanite and Karaite couples (with special provisions relating
to religious practice), charity lists containing the names of both Rabbanite and Karaite contributors and recipients, and business documents all provide evidence for extensive social and economic relations between Rabbanite and Karaite communities, in spite of their doctrinal and ritual differences. The Cairo Geniza also yields materials to write the social and
institutional history of major Jewish institutions of law and higher learning in Mesopotamia. Our knowledge of the actual workings of the Babylonian academies has been expanded greatly by the materials available in the Geniza.

  Geniza fragments allow us to contextualize previously known Jewish philosophical works in Judeo Arabic  (a form of Arabic written in Hebrew characters) and Hebrew, providing information about the circumstances of their composition, their distribution and readership, and their reception. In the case of the Kuzari of  Judah ha-Levi (ca. 1071–1141), letters from a merchant friend of his reveal that the first version of the book was written as a response to a Karaite who lived in a Christian country. In addition, the Geniza has provided important finds for the historical reconstruction of religious texts and their variants. For example, the importance and specific content of the Palestinian Talmud is now known in some detail. Similarly, original Hebrew versions of books such as the Ecclesiasticus of  Ben Sira, once thought lost forever, were in circulation in the Islamic world in the Middle Ages and are now available to us. In addition, the existence of a rich post-Talmudic exegetical literature is known from the answers of legal authorities to questions addressed to them (responsa), many of which were deposited in the
Geniza.
            While most genizas were repositories for prayer books and other sacred writings, the Jews of medieval Egypt deposited a variety of different documents, including business accounts, wills, inventories of various kinds, marriage contracts, trousseau lists, wills,
and commercial and private correspondence. Based largely on these documents, S.D. Goitein (1900–1985) produced his five-volume magnum opus, A Mediterranean Society, which provides a comprehensive
picture of the social, economic, communal, family, and religious history of the Jewish communities of medieval Egypt.

  Geniza documents reveal that Jews were integrated into economic and social life in Islamic lands to a very high degree. There were no legal restrictions on the economic activities of Jews and Christians, and the
Geniza makes it clear that no social or cultural impediments to full participation in economic life existed. Unlike Christian Europe, where Jews were restricted to a small number of occupations and could not
own property, the Geniza reveals Jews working in hundreds of occupations and owning property. The documents of Jewish pious foundations reveal that the poll tax was not merely a symbolic payment, but was a significant financial burden for Jewish communities and a major expenditure for Jewish charities. The documents of the Geniza show clearly that some provisions of the Pact of Umar were often ignored
and became an issue largely at times of economic and political stress. Family life, particularly social and economic aspects of marriage, is richly documented. From the Geniza we learn, in some detail, that Jews
in the lands of Islam practiced polygyny. We learn also about the daily lives of women, including their extensive economic activities. The Geniza provides ample evidence of Jewish use of the Muslim courts
even to adjudicate disputes between Jews, who had the right under Islamic law to appeal intracommunal disputes to the rabbinic courts.

  The predominant language of the documentary material of the Cairo Geniza is Judeo-Arabic. The Judeo-Arabic of the Geniza documents is characterized by the use of quotations in Hebrew and Aramaic from the Bible and the Talmud, and by the assimilation of Hebrew vocabulary into Arabic. The use of Judeo-Arabic in writing, as well as in speech, reflects
the fact that, by the tenth century, Arabic had displaced Aramaic as the lingua franca of Jews (and other communities) in the lands of Islam. The use of an Arabic vernacular had a noticeable impact on the development of religious and philosophical thought among Jewish thinkers. One major effect of this exposure to the so-called secular branches of learning
that were widespread among Muslim intellectuals in the ninth and tenth centuries was the adoption of rationalist thinking as a method of studying Jewish texts. Arabophone Jewish rationalists embraced the exegetical culture of the classical Islamic world and began to write commentaries on Torah and other parts of the Hebrew Bible in Arabic. Later commentators used the same rationalist methods to produce commentaries in Hebrew. The study of Hebrew grammar came to be considered fundamental to the
exegetical enterprise and was developed along the model of Arabic grammar.

  Genizas As a Source of Information on Islamic History and Culture

  The Geniza contributes to many aspects of  broader Islamic history and is particularly rich in many areas that are otherwise sparsely documented. Arabic scribal encyclopedias and historical works, often written at a much later period, describe administrative structures and transmit caliphal and administrative decrees from the eleventh through the thirteenth centuries, but they are often described in anachronistic terms. Legal documents of various kinds and administrative documents emanating from the government chanceries are rare, and they are known largely from the Geniza. A number of these legal documents are contracts concerning the sale of properties. These documents are written in Arabic script, and many are contracts between Muslim parties that made their
way into the Geniza because they concerned a property that eventually came into the hands of Jews, at which time the contracts documenting the property’s history came into the possession of these later owners.
Other documents no doubt made their way into the Geniza because they were registered in a court archive, an act that gave the written document a probative value that it would not otherwise have had in the Islamic legal system, in which oral testimony was ordinarily required as legal proof. Arabic Geniza documents reveal the frequent use of petitions to
rulers, judges, and other dignitaries to appeal for assistance or redress grievances. The information in literary historical sources about petitions is more than verified by the petitions in the Geniza, many of them from the Fatimid (969–1171) and Ayyubid (1171–1250) periods.

  The Geniza provides extensive material on commerce. It contains hundreds of trade letters, many between Jewish merchants but a significant number involving Muslims and Christians. These letters, as
well as inventories, accounts, and court cases, demonstrate the extensive use of informal cooperation and partnerships that characterized commerce in the medieval Islamic world. They also document the range of techniques used to provide credit, given Islamic law’s prohibition on interest, particularly the use of the commenda. Commercial documents and letters from the Geniza provide impressive detail on industries, manufacturing processes, local and regional market conditions and prices, and business practices. We also learn from these documents that the government’s involvement in commerce was expressed primarily in exercising its rights as first buyer and in the collection of taxes. One of the richest contributions of the Geniza is to the history of material culture. The trousseau lists, inventories, accounts, and business letters provide voluminous information about textiles and clothing, including details about color, fabric, ornamentation, and value. Collectively, the Geniza provides extensive lexical material, allowing us to understand vocabulary in Arabic historical texts that would otherwise remain obscure. Similar
information is available about housing, furnishings, food, and jewelry.






Further Reading

Ben-Shammai, Haggai. ‘‘Medieval History and Religious
Thought.’’ InThe Cambridge Genizah Collections: Their
Contents and Significance, ed. Stefan C. Reif. Cambridge:
Cambridge University Press, 2002.
Brody, Robert.The Geonim of Babylonia and the Shaping of
Medieval Jewish Culture. New Haven and London: Yale
University Press, 1998.
Cohen, Mark.Jewish Self-Government in Medieval Egypt.
Princeton: Princeton University Press, 1980.
———. ‘‘Goitein, the Geniza, and Muslim History.’’ Available on line atwww.dayan.org/mel/cohen.htm(2001).
Friedman, M.A.Jewish Marriage in Palestine: A Cairo
Geniza Study. Tel Aviv: Tel-Aviv University, Chaim
Rosenberg School of Jewish Studies; New York: Jewish
Theological Seminary of America, 1980–1981.
Gil, Moshe.Documents of the Jewish Pious Foundations
from the Cairo Genizah. Leiden: E. J. Brill, 1976.
Goitein, S.D.Letters of Medieval Jewish Traders. Princeton:
Princeton University Press, 1973.
———.A Mediterranean Society: The Jewish Communities
of the Arab World As Portrayed in the Documents of the
Cairo Geniza. 6 vols. Berkeley and Los Angeles: University of California Press, 1967–1993.
Kahle, Paul.The Cairo Geniza. Oxford: Blackwell Press,
1959.
Khan, Geoffrey.Arabic Legal and Administrative Documents in the Cambridge Genizah Collections. Cambridge:
Cambridge University Press, 1993.
Lambert, Phyllis, ed.Fortifications and the Synagogue: The
Fortress of Babylon and the Ben Ezra Synagogue, Cairo.
London: Weidenfeld & Nicolson, 1994.
Olszowy-Schlanger, Judith.Karaite Marriage Documents
from the Cairo Geniza: Legal Tradition and Community
Life in Mediaeval Egypt and Palestine. Leiden: E. J. Brill,
1998.
Rabi’, Hasanayn Muhammad.Dalil watha’iq wa-awraq alJiniza al-jadidah (Catalogue of latest Geniza Documents
and Papers). Al-Qahirah: Jami’at al-Qahirah, Markaz
al-Dirasat al-Sharqiyah, 1993.
Reif, Stefan C. ‘‘A Centennial Assessment of Genizah
Studies.’’ InThe Cambridge Genizah Collections: Their
Contents and Significance, ed. Stefan C. Reif. Cambridge: Cambridge University Press, 2002.
———.A Jewish Archive from Old Cairo: The History of
Cambridge University’s Genizah Collection. Richmond,
Surrey: Curzon Press, 2000.
Stillman, Yedida. ‘‘Female Attire of Medieval Egypt:
According to the Trousseau Lists and Cognate Material
from the Cairo Geniza.’’ Ph.D. dissertation, University
of Pennsylvania, 1972.
Udovitch, Abraham L.Partnership and Profit in Medieval
Islam. Princeton: Princeton University Press, 1970.











GEOGRAPHY

  The science of geography in Islam developed on a foundation of previous civilizations and was strongly impacted by the expansion of the Islamic state and the spread of the Islamic faith. The rise of the Islamic
empire entailed four major developments in regard to scientific geography and travel: (1) the rise of a need for geography as an auxiliary discipline to government and administration; (2) access to the academic
and cultural heritage of the Hellenic, Mesopotamian, Iranian, Indian, and other civilizations conquered by Islam; (3) a new impetus and opportunities for travel, exploration, and long-distance trade; and (4)
a specifically Islamic branch of cartography and astronomical geography focused on Mecca and the direction of prayer (qibla,q.v.). The great majority of geographical works combined aspects of science and literature and were composed in Arabic, although non-Arabs and even non-Muslims made important contributions. Some scholars treated geography as part of  history; it was also customary to discuss other sciences in the introductions to geographical works. For some parts of the world, or certain periods of their history, medieval Islamic geographers provide major, if not the only, sources of information. Their works are thus invaluable and often indispensable to the study of history and historical ethnography, as well as historical geography and the history of science.

  The cosmographic views of early Muslims absorbed the pre-Islamic vision of the world registered in the Qur’an and somehadiths, or the pre-Islamic traditions recorded in the second and third centuries of Islam by authors such as the historian al-Dinawari (d. AH 281 or 282/894–895 CE) and geographers such as al-Ya‘qubi (259–292/872–873 to 905), al Hamdani (d. 334/945), al-Mas‘udi (d. 345/956). According to one view recorded by al-Ya‘qubi, the earth has the shape of a bird with spread wings whose head is in the East (China), tail in the West, and the breast encompasses Mecca, Hijaz, Syria, Iraq, and Egypt, that is, the core of the early Islamic empire. The Umayyad postal service drove the development of precise itineraries and distance measurements. The Roman mile, mil
(pronounced ‘‘meel’’), became the common unit of distance in the western parts of the empire. Another measure of distance was the Iranianfarsakh, equal to three mils (six kilometers). Itineraries also used
‘‘marches’’ (marhal) or ‘‘days of journey’’ (approximately twenty kilometers). Degrees of longitude and latitude were long confined to works of mathematical geography and only gradually made their way into
geographical narratives. They are not found on extant maps predating the fourteenth century, even those using grids.

  Among the earliest geographical compositions are travel records of the Umayyad period and the early genre of fada’il, descriptions of ‘‘advantages’’ of places sacred to Muslims in some ways, which later acquired an increasingly secular nature. Scientific Islamic geography began in Baghdad in the early ‘Abbasid period and was particularly encouraged by the caliph al-Ma’mun (r. 198–218/813–833). The first
steps included the measurement of the degree of latitude, construction of observatories, production of maps and instruments, and especially the translation and adaptation of  Indian, Iranian, and Greek geographical and astronomical treatises. Among the Indian borrowings were the imaginary Mount Meru, the highest point on dry land directly under the North Pole, the division of the inhabited regions of the earth into nine sections, and the calculation of the longitude from the meridian of Sri Lanka, drawn from Mount Meru through the Cupola of the Earth (Ar.Arin, from Ujjain—modern Avanti—site of an ancient Indian observatory). From the Greeks were borrowed the limitations of the inhabited world to a quarter of the globe, the concept of the continents (Europe, Libya, Ethiopia, Scythia), the idea of the Indian Ocean landlocked between Asia and Africa, and the word jughrafiya for the discipline. In mathematical geography Arabic scholars accepted the system of seven latitudinal climates, or climes (Ar.aqalim; sing. iqlim), from the equator to the polar circle. Ptolemy’s Geographywas translated repeatedly (as was his
Almagest); particularly influential was the version of al-Khwarizmi (also Khorezmi, fl. ca. 205/820). Iranian influences were the strongest in descriptive geography and in cartography, including the method
of describing the world following the four cardinal directions (beginning in the East) and the division of the earth into seven kishvarha (equal geometric circles), the central one representing Iran (with Mesopotamia). The lost map of al-Ma’mun supposedly followed this pattern, though it was also supposed to use the projection of Marinus.

  Other notable early advances in Islamic geography came when the administrators of the vast, newly reordered empire composed or commissioned geographical reference books in the genre of Masalik wa
al-Mamalik (Routes and Kingdoms), from the title of the first extant composition of this nature, by Ibn Khurdadhbih (ca. 205–300/820–912). Other authors include al-Balkhi (235–322/849–850 to 934), alIstakhri (ca. 340/951), and Ibn al-Faqih al-Hamadhani (ca. 290/903), all of whom functioned in the eastern parts of the empire. These treatises concentrate on such practical needs of government as topography, administrative information, commercial and postal routes, and descriptions of boundaries. A separate branch of mathematical geography, shaped by
Ptolemaic influence, was developed by al-Khwarizmi, al-Farghani (Alfraganus, fl. 247/861), and al-Battani (Albategnius, d. AH929). To begin with, their works contained the tables of astronomical coordinates of locations and geographical features, and descriptions of maps with coordinates (very few of the maps survive).

  During the classical period of Islamic geography (ninth to eleventh centuries), two schools of descriptive geography developed. The first was the Iraqi school, so called because it often followed the Iranian system of kishvars, but substituted Iraq (the center of the ‘Abbasid caliphate) for Iran as the center of the Islamic empire. This school included Ibn Khurdadhbih, al-Ya‘qubi, Ibn Rusta ( fl. ca. 290–300/ 903–913), Ibn al-Faqih, and al-Mas‘udi, all of whom wrote world geographies. Al-Ya‘qubi and al-Mas‘udi traveled extensively, but their personal experiences
seem to have had little effect on their geographical concepts. The second school was that of al-Balkhi, whose own work does not survive. Among his followers were al-Istakhri, Ibn Hawqal (ca. 366/977), and al-Muqaddasi (al-Maqdisi, ca. 335–390/946–947 to 1000). These geographers focused on the world of Islam and attached central importance to Mecca. They introduced the concept of a country as a geographical unit and enlarged the scope of their science with elements of ‘‘human geography,’’ discussing the languages and races of people, their occupations, customs, and religions. Firsthand observation during their travels was an important source of information for these authors, though they also borrowed heavily from their predecessors. Al-Muqaddasi, the
last and most original representative of this school, created the systematic foundation of Arab geography by discussing its uses and scopes, the geographical terminology, the various methods of division of the earth, and the value of empirical observation. A distinctive characteristic of this school is its attention to cartography. Texts often seem to follow
the map and were usually accompanied by a set of twenty-one maps: one of each of the twenty climes or regions into which they divided Islamic lands, and one world map. These maps are very similar to each other in character and are composed of peculiarly simplified geometric shapes. They show roads and towns but give no indication of coordinates or distances; collectively, they are known today as the ‘‘Atlas of Islam.’’

  The physical geography of Muslim scholars in part depended on their Greek precursors and in part contributed new thinking on the nature of physical phenomena. They saw the earth as a sphere, resembling the yoke within the white of the egg. They understood that the changing positioning of the sun resulted in differences between climatic zones: hot, temperate, and cold. They agreed that climate, topography, and soils conditioned the spatial distribution of life and water. They discussed the causes of wind, clouds, rain, tides, and earthquakes. Many geographers who adopted the Greek notion of the Inhabited Quarter assumed that the parts of the earth south of the equator were uninhabitable due to excessive heat. Unique among the geographers of the late classical period of Islam is al-Biruni (c. 442/1050). Apart from his important contribution to regional geography (he described India in detail), he compared and critically evaluated the contributions to geography of the Arabs, Greeks, Indians, and Iranians. An advanced theoretician of geography and astronomy, he was also a bold and undogmatic thinker. For example, he discussed the difference in seasons between the northern and southern hemispheres and argued that, contrary to the prevailing views, life was possible south of the equator; he, alone, among Muslim geographers
conjectured that the Indian Ocean communicated with the Atlantic (the earliest maps showing the Indian Ocean somewhat realistically are considerably older, found in manuscripts ascribed to Ibn Sa‘id alMaghribi [610–673 or 685/1214–1274 or 1286] and the encyclopedist Ibn Fadlallah al-‘Umari [700–749/ 1301–1349]).

  The spirit of exploration and inquiry generated both active travel beyond the better-known areas of the Middle East, India, and Africa and demand
among the reading public for travel accounts. Some of these accounts were reports of authentic journeys, such as Ibn Fadlan’s diplomatic mission to the Volga region (ca. 921) and Ibrahim ibn Ya‘qub’s journey
from Spain to Germany (ca. 354/965). Others belong to the genre of ‘aja’ib (marvels): surviving compositions by Abu Zayd al-Sirafi (ca. 306/916) and Buzurg ibn Shahriyar (ca. 342/953) contain, together with
factual information, semilegendary stories, including maritime tales; a few found their way into the One Thousand and One Nights as the stories of Sinbad the Sailor and may have been heard by Marco Polo. Yet, although Muslim seafarers knew the Indian Ocean well enough to sail from Malacca to Southeast Africa, the formal geographical works say disappointingly little about distant areas. Moreover, the new facts were often overlooked or stubbornly fitted into the old theoretically devised patterns. This conservative attitude forced practical geography to yield to theory and gradually led to scientific stagnation.

  In the area of world geography the highest achievement was attained by al-Idrisi (493–560/1098–1165), who worked at the Norman court in Sicily and used data produced by the Islamic and European geographers and travelers. His Nuzhat al-Mushtaq fi Ikhtiraq al-Afaq (Entertainment for One Who Wants to Travel the World) was conceived as a description of a large map, each chapter detailing itineraries within one of seventy sections illustrated by a regional map. The innovation was to subdivide each of the seven Greek climes into ten longitudinal sections, starting from the west. Although some of the information was incorrect or outdated even at the time, as a universal geography his work remained
unsurpassed in the Islamic world, and among mapmakers al-Idrisi’s cartographic tradition survived as late as the sixteenth century. His system influenced Ibn Sa‘id al-Maghribi, who supplemented his description with the coordinates of many locations, and Ibn Khaldun.

  The twelfth to sixteenth centuries produced little conceptual development, but they are marked by the emergence of new specialized genres: geographical dictionaries, cosmographies, travel narratives(rihla)
and pilgrimage guides (ziyarat), and the works of marine geography. The largest and most famous geographical dictionary is that of Yaqut (ca. 575–626/ 1179–1229), who presents a great number of placenames, listed alphabetically and accompanied by a wealth of geographical and historical information. His method and much of his information were
borrowed by the most prominent cosmographer, Zakariya al-Qazwini (d. 682/1283), whose works remain popular even with modern Arab readers.
Specifically Islamic variations of the dictionary genre were the guides to religious places or pilgrimage centers, the ziyarat (see pilgrimage); the most famous of these is by al-Harawi (d. 611/1215). Among the travel narratives, of particular significance for Arabia was the work of Ibn al-Mujawir (ca. 626/1229); for the Near East, that of  Ibn Jubayr (540–614/1145–1217); and for Europe, Abu Hamid al-Andalusi (473–565/1080–1170). The most outstanding traveler, Ibn Battuta, whose journeys took him from his native Maghrib to Arabia, Europe, Central Asia, India, Indonesia, China, and sub-Saharan Africa, was not famous in his own time.

 Outside the Arabic tradition of Islamic geography, Persian scholarship, represented by the anonymous Hudud al-‘Alam (Regions of the World, ca. 372/982), was influenced by the work of al-Istakhri, which had been translated into Persian. Some of  al-Biruni’s works were originally written in, or later translated into, Persian. His contemporary, Nasir-i Khusraw (394–481/1003–1060), wrote in Persian, describing the travels in Egypt and Arabia. Generally derivative of Arabic authorities, the works in Persian were produced mainly in Iran, Central Asia, and India. The development of Ottoman geography began in the fourteenth century. At first it popularized translations of Arab cosmographies; later translations were also made from Persian and Greek. From the early sixteenth century, Ottoman geography was continuously influenced by European scholarship, especially in cartography. A specifically Ottoman genre was represented by the campaign itineraries of the Turkish
sultans.

   All the main genres of Islamic geographical literature had been set by the fourteenth century. Although travel accounts and regional studies produced new data, systematic innovation ceased. The new cosmographies, often of inferior quality, simply rehashed outdated information. Use of others’ material without credit and indiscriminate compilation prevailed, and pre-Islamic concepts and mythological motifs
continued to fascinate the reader. Especially popular among these were the Encircling Ocean surrounding  he landmass, and Mount Qaf in turn surrounding the ocean; the Fortunate Isles and the Pillars of Hercules as the western boundary of the inhabited earth; the Wall of Alexander separating the civilized world from Gog and Magog; the Isles of Waq-Waq where trees allegedly bore fruit of human heads; and the number seven (seven climata, seven kishvarha, seven seas). Marine geography for the most part remained outside the mainstream of Islamic scholarship. Only works of Ahmad ibn Majid (second half of the fifteenth century) and Sulayman al-Mahri (first half of the sixteenth century) survive. Among them are sailing manuals and nautical instructions, often in
verse (for better memorization by navigators), for the Mediterranean and the Red Seas, but particularly for the Indian Ocean.

  The majority of extant Islamic maps are found in copies dating from the thirteenth and later centuries, though the first Islamic reference to map making dates to 83/702. A few authors give instructions for map production, and some texts describe maps, but extant maps cannot be used as exact guides to locations and the projections used are still not
fully understood. In form, Arabic maps typically included round world maps and rectangular regional maps. There were also separate maps of seas, small maps of astronomically determined zones, and special
Islamic maps of the Ka‘ba for orienting the viewer to the qibla (sacred direction of prayer) from any location. City plans must have existed, but those extant are from the sixteenth century and later. There
are no topographical maps, though there may be some color coding of geographical features such as rivers, cities, mountains, and roads. Ethnic divisions and major features such as deserts are marked in writing. Sailing charts reportedly existed, but none survives.

  The round maps show the continents of  Europe, Asia, and Africa surrounded by the Encircling Ocean (al-Bahr al-Muhit), which is sometimes surrounded in turn by Mount Qaf, a concept of Qur’anic cosmogony. Round maps were usually centered on Mesopotamia (in the ‘‘Iraqi’’ school) or Mecca (in the tradition of the ‘‘Atlas of Islam’’). The oldest Turkish world map, found in the encyclopedia of Mahmud alKashghari (ca. 466/1074), is centered on Balasaghun, the capital of the then Uighur state in the mountains of Tien Shan. Round maps were usually oriented to the south or east, rectangular maps almost always to
the south. Some round maps mark the seven climata of the Inhabited Quarter as latitudinal bands, numbered from the equator to the Polar Circle. The Greco-Muslim tradition of cartography is best represented by al-Idrisi, who adopted Ptolemy’s map of the world and, abandoning Ptolemy’s outdated content and tables, superimposed on it an enormous amount of new information gathered from books and travelers. Al-Idrisi is also one of the few Arabic scholars who provided instructions for map production and discussed distance measures. His works contain 70
detailed sectional rectangular maps and a round world map; he reportedly created a silver planisphere based on the so-called al-Ma’mun map, which does not survive.






Further Reading

Ahmad, S. Maqbul.A History of Arab-Islamic Geography
(9th–16th century AD). Amman: al-Bayit University,
1995.
———. ‘‘Djughrafiya.’’ InThe Encyclopaedia of Islam. New
ed. 2:575–587.
———. ‘‘Kharita.’’ InThe Encyclopaedia of Islam. New ed.
4:1077–1083.
Donini, Pier Giovanni.Arab Travelers and Geographers.
London: IMMEL, 1991.
The History of Cartography, vol. 2, book 1: Cartography in
the Traditional Islamic and South Asian Societies. Eds.
J.B. Harley and David Woodward. Chicago and London: The University of Chicago Press, 1992.
Ibn Battuta. The Travels of Ibn Battuta, AD 1325–1354.
Trans. with revisions and notes from the Arabic text
C. Defre´mery and B.R. Sanguinetti by H.A.R. Gibb. 5
vols. Cambridge: Hakluyt Society, 1971–2000.
Ferrand, Gabriel.Relations de Voyages et Texts Ge´ographiques Arabes, Persans et Turks, Relatifs a` l’Extre ˆme-Orient du VIIIe au XVIIIe sie`cles. 2 vols. Paris: Leroux ,
1913–1914. Reprint, 2 vols. in one. Frankfurt: Institut
fu ¨r Geschichte der Arabisch-Islamischen Wissenschaften,
1986.
———.Studies by Gabriel Ferrand on Arab-Muslim Geography, Cartography and Navigation. Reprint in 3 vols.
Ed. Fuat Sezgin. Frankfurt: Institut fu¨r Geschichte der
Arabisch-Islamischen Wissenschaften, 1994.
Kennedy, Edward S., and Mary Helen Kennedy.Geographical Coordinates of Localities from Islamic Sources.
Frankfurt: Institut fu¨r Geschichte der Arabisch-Islamischen Wissenschaften, 1987.
King, David A.World-Maps for Finding the Direction and
Distance to Mecca: Innovation and Tradition in Islamic
Science. London: Al-Furqan Islamic Heritage Foundation, 1999.
Krachkovskii, I. Iu.Arabskaia geograficheskaia literatura.
Moscow, Lenigrad: Izdatel’stvo Akademii Nauk SSSR,
1957. Trans. into Arabic Salah al-DinUthman Hashim.
Ta’rikh al-Adab al-Jughrafi al-‘Arabi. 2 vols. Cairo,
1963–1965.
Mappae Arabicae: Arabische Welt- und La¨nderkarten des 9.-13. Jahrhunderts, ed. Konrad Miller. 5 vols. Stuttgart,
1927–1931. Reprint in 2 vols.: Frankfurt: Institut fu¨r
Geschichte der Arabisch-Islamischen Wissenschaften,
1994.
Miquel, Andre´. La Ge´ographie Humaine du Monde Musulman Jusqu’au Milieu du 11e sie`cle. 4 vols. Paris, La Haye:
Mouton, 1967–1988.
Reinaud, Joseph Toussaint.Ge´ographie d’Abou ‘l-Fe´da.
Vol. 1:Introduction Ge´ne´rale a ´ la Ge ´ographie des Orientaux. Paris: Imperime ´rie Nationale, 1848. Reprint:
Frankfurt: Institut fu¨r Geschichte der ArabischIslamischen Wissenschaften, 1998.
Sezgin, Fuat. The Contribution of the Arabic-Islamic
Geographers to the Formation of the World Map. Frankfurt: Institut fu ¨r Geschichte der Arabisch-Islamischen
Wissenschaften, 1987.
Sezgin, Fuat.Mathematische Geographie und Kartographie
im Islam und ihr Fortleben im Abendland. 3 vols.
Geschichte des arabischen Schrifttums, vols. X–XII.
Frankfurt: Institut fu¨r Geschichte der ArabischIslamischen Wissenschaften, 2000.
Tolmacheva, Marina. ‘‘The Medieval Arabic Geographers
and the Beginnings of Modern Orientalism.’’International Journal of Middle East Studies27 (1995): 141–156.
Youssouf Kamal.Monumenta Cartographica Africae et
Aegypti. 5 vols. In 16 parts. Cairo, 1926–1951. Reprint
in 6 vols. Frankfurt: Institut fu ¨r Geschichte der
Arabisch-Islamischen Wissenschaften, 1987.











GEOMETRY

  At the beginning of Islam, some knowledge of geometry was available in Syria and Iran, and in the eighth century CE, practical geometrical rules were transmitted from India into Islamic lands. However, the
history of geometry in Islamic civilization really started when the basic textbook of Greek geometry, theElementsof Euclid (ca. 300 BCE), was translated into Arabic in Baghdad in the early ninth century CE. Euclid begins with definitions and axioms (fundamental assumptions), but he then proves by logical reasoning a series of more than three hundred geometrical propositions and constructions. Initially, the Islamic scholars of the ninth century CE studied the Elementsto understand Greek astronomy, but some of them fell in love with Greek geometry for its own
sake and searched for Greek manuscripts of the works of Archimedes (ca. 250 BCE) and Appollonius (ca. 200 BCE). In the mid-ninth century CE, the three sons of Musa (Banu Musa)—Ahmad, Muhammad, and Hasan—were interested in the Conics on the basis of two very corrupted Greek manuscripts of  Books 1 - 4 and Books 5–7. After they had succeeded, they hired two translators—Hilal ibn Abi Halal al-Himsi and Thabit ibn Qurra—and had them translate Books 1–4 and Books 5–7, respectively. Books 5–7 are now lost in Greek, and thus the Banu Musa sons and
Thabit ibn Qurra saved one of the most profound works of Greek geometry for posterity. Book 8 of the Conics was entirely lost but reconstructed by Ibn al-Haytham in the early eleventh century.

  Already in the mid-tenth century, some Islamic mathematicians embarked on deep investigations of the definitions and basic assumptions made by Euclid in Elements. In Book 5 of Elements, Euclid presented
a complicated definition of proportional magnitudes (a: b¼c : d)in order to deal with rational and irrational ratios at the same time. In European mathematics the motivation of this definition was understood only after the discovery of the modern concept of real numbers around the year 1860. A thousand years earlier, around 860, the Iranian mathematician
al-Mahani had replaced Euclid’s definition by an alternative definition related to the modern mathematical theory of continued fractions. He also proved that the two definitions are equivalent. A number of  Islamic mathematicians studied Euclid’s parallel postulate, to the effect that if two straight linesmandnare intersected by a straight line l in such a way that the sum of the two adjacent angles between land mand between landnis less than two right angles, the two lines mandn must intersect. Many mathematicians found it inappropriate that Euclid assumed such a
complicated postulate right at the beginning of his work Elements. Unfortunately, the postulate is necessary in the proofs of the theorem of Pythagoras and the theorem that the sum of the angles in a triangle is
equal to two right angles. Several mathematicians, including Ibn al-Haytham (eleventh century) and Nasir al-Din al-Tusi (thirteenth century), tried to prove Euclid’s parallel postulate on the basis of other assumptions that they found more natural or simpler. In the nineteenth century, it turned out that the parallel postulate could not be proved from the
other postulates of  Euclidean geometry. If we assume the negation of the parallel postulate, we obtain the modern non-Euclidean geometry, which was never studied in medieval Islamic civilization.

  In the tenth century, the Islamic geometers in Iraq and Iran started to work on conic sections. They used parabolas and hyperbolas to solve problems such as the construction of the regular heptagon, the trisection of the angle, and cubic equations. By means of conic sections, Ibn al-Haytham solved the following problem in optics, which was later named the ‘‘problem of Alhazen’’ after the Latinized version of his first name al-Hasan: Given a convex or concave circular spherical, cylindrical, or conical mirror, and the positions of the eye and the object, construct the places in the mirror where the eye sees the object. Conic sections were also used for the theoretical construction of some mosaic patterns.

  Another theoretical field of study was the determination of surface areas, volumes, and centers of gravity of curvilinear figures. Archimedes’ work on the surface area and volume of a sphere had been translated into Arabic, and in the preface to this work, Archimedes says that he had found the area of a parabolic segment as four-thirds of its inscribed triangle. His work on the parabolic segment, as well as most of  his other investigations, were not transmitted into Arabic, and thus the Islamic mathematicians did not know Archimedes’ famous work,Method of
Mechanical Theorems. (This work was discovered around 1900 in a Greek palimpsest manuscript, which was stolen but has since resurfaced.) Thabit ibn Qurra (d. 901), Ibrihim ibn Sinan (d. 946), and Abu Sahl al-Kuhi (ca. 970) succeeded in proving that the area of a parabolic segment is four-thirds of its inscribed triangle. They then went on to study other
curved figures and solids. Most of their achievements are independent rediscoveries of results in Archimedes’Method of  Mechanical Theorems. Ibn alHaytham determined the volume of a solid not studied by Archimedes, namely the solid of revolution of a parabola around a segment perpendicular to the axis. To solve this difficult problem, Ibn al-Haytham had to find a formula for the sum of the firstnand fourth powers.

  In modern mathematics the surface areas, volumes, and centers of gravity of curved figures and solids are computed by means of the integral calculus, which was discovered in the late seventeenth century by Leibniz and Newton. It does not follow that the Islamic mathematicians possessed anything like the integral calculus, because the methods of  Leibniz and Newton were generally applicable, whereas Archimedes and the Islamic mathematicians had to design for every solid a new procedure. It should also be noted that Leibniz and Newton did not prove their methods in ways that are now considered to be rigorous, but Archimedes and the Islamic mathematicians gave rigorous proofs.

  Abu Sahl al-Kuhl determined the centers of gravities of various curvilinear solids. He thought that he had found a regularity, and derivedp ¼ 3 1/9, in contradiction to the fact that Archimedes had proved
That p  >3 10/71. Around 1420, the first sixteen decimals of pwere determined correctly by Al-Kashi in Samarkand.

  Spherical trigonometry was important in late Greek and medieval Indian and Islamic mathematics because astronomy depends on the accurate computation of arcs on the celestial sphere. In the tenth century, three
Iranian mathematicians introduced the concept of a spherical triangle consisting of six elements: three arcs of great circles and three angles contained by these arcs. A little later, the methods are analogous to, but
more complicated than, the formulas for a plane triangle. The solution of spherical triangles was studied systematically by al-Biruni around 1030 and by Nasir al-Din al-Tusi around 1260. The Islamic mathematicians computed trigonometrical tables that were much more accurate than the tables known in Greek and Indian mathematics. A difficult problem is the
computation of sines (without computers), especially the computation of the sine of one degree. No exact methods for the computation were known until AlKashi (ca. 1420) discovered a method by which the sine of one degree can be easily computed with any desired accuracy. He expressed the unknown sine as the root of a cubic equation with known coefficients. He then presented an easy iterative algorithm for the
numerical solution of the cubic equation.

  Various projections of the sphere on a plane were applied in geographical maps, and stereographic projection was used in the construction of astrolabes. It is clear that the designers of Islamic mosaics makers and architects employed complicated geometry in their designs, but very little information on their methods has been preserved in medieval Arabic and Persian sources. Perhaps they transmitted their
methods orally.


Further Reading

Berggren, J. Len. ‘‘Mathematics and Her Sisters in Medieval Islam: A Selective Review of Work Done from 1985
to 1995.’’ Historica Mathematica24 (1997), no. 4,
407–440.
———. ‘‘The Correspondence of Abu Sahl al-Kuhi and Abu
Ishaq al-Sabi: A Translation with Commentaries:’’Journal for the History of Arabic Science7 (1983): 39–124.
Ozdural, Alpay. ‘‘Mathematics and Arts: Connections between Theory and Practice in the Medieval Islamic
World.’’Historica Mathematica27 (2000): 171–201.
Rosenfeld, B.A., and Jan P. Hogendijk. ‘‘A Mathematical
Treatise Written in the Samarqand Observatory of
Ulugh Beg.’’Zeitschrift fur Geschichet der arabischislamishcn Wissenschaften. 15 (2003): 25–65.
Vahabzadeh, B. ‘‘Al-Mahani’s Commentary on the Concept of Ratio.’’Arabic Sciences and Philosophy12 (2002):
9–52.








GESUDARAZ

  Sayyid Muhammad Husayni, popularly known as
Gesudaraz (‘‘He With the Long Tresses’’) and Bandanawaz (‘‘The One Who is Kind to His Servants’’), was a prominent Sufi teacher responsible for the establishment of the Chishti Sufi order in the Deccan
province of southern India. Born in 1321 CE into a family tracing its ancestry to Khurasan (Iran), Gesudaraz received his early education in Delhi studying various religious sciences, including Qur’anic exegesis, theology, and jurisprudence. In 1336, he was formally initiated into the Chishti order by becoming a disciple of the renowned Chishti master Nasir ad-Din Chiragh-i Dihli (‘‘The Lamp of Delhi’’). Gesudaraz so
distinguished himself on the Sufi path that upon the death of his teacher he assumed leadership of the order. As a consequence of rumors concerning Timur’s (Tamerlane’s) invasion of northern India in 1398, Gesudaraz left Delhi and traveled south. At the invitation of the Bahmanid ruler Firuz Shah, Gesudaraz eventually settled in Gulbarga, the capital of the Bahmanids. Gesudaraz’s initial association with
Firuz Shah, as well as his later involvement with intrigues in the Bahmanid court over the succession to the throne, in which he supported the cause of Firuz Shah’s brother Ahmad Shah (r. 1422–1436), indicate that he had moved away from the ideals of previous Chishti masters who considered contact with royalty to be detrimental to spiritual well-being. Apparently, Gesudaraz saw nothing wrong in accepting tax-free land from his royal patrons.

  In terms of  his teachings, Gesudaraz was more conservative than his Chishti predecessors, such as Nizam ad-Din Awliya, who were strong proponents of  wahdat al-wujud (unity of existence), a philosophical doctrine traditionally associated with the Andalusian Sufi Ibn Arabi (d. 1240) and interpreted ashama ust (everything is He). Gesudaraz felt that
this doctrine went against the legal and theological precepts of Islam because it blurred the distinction between created and Creator. Instead, he supported the theory of wahdat ash-shuhud (unity of witnessing)
which, when interpreted ashama azust (everything is from Him), emphasized the distance between creation and a transcendent God. Gesudaraz was also a strong upholder of the law (shari’ah). As a result, he was critical not only of Ibn Arabi but also considered Sufis such as Jalal ad-Din Rumi to be enemies of the faith because of their liberal pantheistic/monistic teachings. Notwithstanding his conservatism on doctrinal issues, Gesudaraz upheld the Chishti tradition of sama’ (musical concerts), because he was a firm believer in the power of music as an aid to spiritual transformation and ecstasy. Not surprisingly, he was also a strong supporter of love mysticism, for he saw passionate love as the basis of the relationship between creation and the Divine.

  Gesudaraz was such a prolific scholar and writer that he has been called the Chishti sultan al-qalam (‘‘King of the Pen’’). Although the exact number of his works is not known—estimates range from thirtysix to one hundred and fifty—he is believed to have been multilingual, being competent in Arabic, Persian, and several Indian languages. Through his commentaries, he popularized the works of classical Sufi thinkers such as Qushayri and Suhrawardi in the Indian subcontinent. In using Dakhani, a local Indian vernacular, to compose the Mi’raj al-‘ashiqin (The Celestial Ascent of Lovers), a book on the Prophet Muhammad, Gesudaraz played a pioneering role in promoting the use of local languages in religious literature, a trend that became increasingly important in subsequent centuries.

  Gesudaraz died November 1, 1422, and is buried at Gulbarga in a vast tomb–shrine complex, the upkeep of which has been generously patronized by various rulers. His tomb, which is one of the most important centers of religious pilgrimage in southern India, attracts
thousands of devotees, Muslim and non-Muslim, who come here to seek his blessing and intercession.






Further Reading

Eaton, Richard.The Sufis of Bijapur 1300–1700. Princeton:
Princeton University Press, 1978.
Hussaini, S.S.K.The Life, Works, and Teachings of
Khwajah Bandahnawaz Gisudaraz. Gulbarga, 1986.

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