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Ibn Muʿādh Al-Jayyānī
Abū ʿAbd Allāh Muḥammad ibn Muʿādh al-Jayyānī (; 989, Cordova, Al-Andalus – 1079, Jaén, Al-Andalus) was an Arab mathematician, Islamic scholar, and Qadi from Al-Andalus (in present-day Spain). Al-Jayyānī wrote important commentaries on Euclid's '' Elements'' and he wrote the first known treatise on spherical trigonometry. Life Little is known about his life. Confusion exists over the identity of ''al-Jayyānī'' of the same name mentioned by ibn Bashkuwal (died 1183), Qur'anic scholar, Arabic Philologist, and expert in inheritance laws (farāʾiḍī). It is unknown whether they are the same person. There is some evidence that he lived in Cairo from 1012/13 to 1016/17. Works Al-Jayyānī wrote ''The book of unknown arcs of a sphere'', which is considered "the first treatise on spherical trigonometry", although spherical trigonometry in its ancient Hellenistic form was dealt with by earlier mathematicians such as Menelaus of Alexandria, whose treatise the ''S ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jaén, Spain
Jaén () is a Municipalities in Spain, municipality of Spain and the capital of the Jaén Province, Spain, province of Jaén, in the autonomous community of Andalusia. The city of Jaén is the administrative and industrial centre for the province. Industrial establishments in the city include chemical works, tanneries, distilleries, cookie factories, textile factories, as well as agricultural and olive oil processing machinery industry. The layout of Jaén is determined by its position on the foothills of the Cerro de Santa Catalina, with steep, narrow streets, in the historic core. Its population is 112,757 (2020), about one-sixth of the population of the province. Jaén had an increase in cultural tourism in the mid-2010s, having received 604,523 tourists in 2015, 10% more than in 2014. Etymology The name is most likely derived from the Roman name ''Villa Gaiena'' (Villa of Gaius). It was called Jayyān during the time of Al-Andalus. The inhabitants of the city are known a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Islamic Inheritance
Islamic Inheritance jurisprudence is a field of fiqh, Islamic jurisprudence () that deals with inheritance, a topic that is prominently dealt with in the Qur'an. It is often called ''Mīrāth'' (, literally "inheritance"), and its branch of Sharia, Islamic law is technically known as ''ʿilm al-farāʾiḍ'' (, "the science of the ordained quotas"). Inheritance and the Qur'an The Qur'an introduced a number of different rights and restrictions on matters of inheritance, including what were at that time general improvements to the treatment of women and family life. The Qur'an also presented efforts to fix the laws of inheritance, and thus forming a complete legal system. This development was in contrast to pre-Islamic societies where rules of inheritance varied considerably. They do, however, also differ from ongoing secular changes since that time, up to, though principally in, the modern era. Furthermore, the Qur'an introduced additional heirs that were not entitled inherita ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ibn Al-Haytham
Ḥasan Ibn al-Haytham (Latinization of names, Latinized as Alhazen; ; full name ; ) was a medieval Mathematics in medieval Islam, mathematician, Astronomy in the medieval Islamic world, astronomer, and Physics in the medieval Islamic world, physicist of the Islamic Golden Age from present-day Iraq.For the description of his main fields, see e.g. ("He is one of the principal Arab mathematicians and, without any doubt, the best physicist.") , ("Ibn al-Ḥaytam was an eminent eleventh-century Arab optician, geometer, arithmetician, algebraist, astronomer, and engineer."), ("Ibn al-Haytham (d. 1039), known in the West as Alhazan, was a leading Arab mathematician, astronomer, and physicist. His optical compendium, Kitab al-Manazir, is the greatest medieval work on optics.") Referred to as "the father of modern optics", he made significant contributions to the principles of optics and visual perception in particular. His most influential work is titled ''Book of Optics, Kit ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Regiomontanus
Johannes Müller von Königsberg (6 June 1436 – 6 July 1476), better known as Regiomontanus (), was a mathematician, astrologer and astronomer of the German Renaissance, active in Vienna, Buda and Nuremberg. His contributions were instrumental in the development of Copernican heliocentrism in the decades following his death. Regiomontanus wrote under the Latinized name of ''Ioannes de Monteregio'' (or ''Monte Regio''; ''Regio Monte''); the toponym ''Regiomontanus'' was first used by Philipp Melanchthon in 1534. He is named after Königsberg in Lower Franconia, not the larger Königsberg (modern Kaliningrad) in Prussia. Life Although little is known of Regiomontanus' early life, it is believed that at eleven years of age, he became a student at the University of Leipzig, Saxony. In 1451 he continued his studies at Alma Mater Rudolfina, the university in Vienna, in the Duchy of Austria, where he became a pupil and friend of Georg von Peuerbach. In 1452 he was awarded hi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ratio
In mathematics, a ratio () shows how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3). Similarly, the ratio of lemons to oranges is 6:8 (or 3:4) and the ratio of oranges to the total amount of fruit is 8:14 (or 4:7). The numbers in a ratio may be quantities of any kind, such as counts of people or objects, or such as measurements of lengths, weights, time, etc. In most contexts, both numbers are restricted to be Positive integer, positive. A ratio may be specified either by giving both constituting numbers, written as "''a'' to ''b''" or "''a'':''b''", or by giving just the value of their quotient Equal quotients correspond to equal ratios. A statement expressing the equality of two ratios is called a ''proportion''. Consequently, a ratio may be considered as an ordered pair of numbers, a Fraction (mathematic ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Polar Triangle
Spherical trigonometry is the branch of spherical geometry that deals with the metrical relationships between the sides and angles of spherical triangles, traditionally expressed using trigonometric functions. On the sphere, geodesics are great circles. Spherical trigonometry is of great importance for calculations in astronomy, geodesy, and navigation. The origins of spherical trigonometry in Greek mathematics and the major developments in Islamic mathematics are discussed fully in History of trigonometry and Mathematics in medieval Islam. The subject came to fruition in Early Modern times with important developments by John Napier, Delambre and others, and attained an essentially complete form by the end of the nineteenth century with the publication of Todhunter's textbook ''Spherical trigonometry for the use of colleges and Schools''. Since then, significant developments have been the application of vector methods, quaternion methods, and the use of numerical methods. P ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Law Of Sines
In trigonometry, the law of sines (sometimes called the sine formula or sine rule) is a mathematical equation relating the lengths of the sides of any triangle to the sines of its angles. According to the law, \frac \,=\, \frac \,=\, \frac \,=\, 2R, where , and are the lengths of the sides of a triangle, and , and are the opposite angles (see figure 2), while is the radius of the triangle's circumcircle. When the last part of the equation is not used, the law is sometimes stated using the Multiplicative inverse, reciprocals; \frac \,=\, \frac \,=\, \frac. The law of sines can be used to compute the remaining sides of a triangle when two angles and a side are known—a technique known as triangulation. It can also be used when two sides and one of the non-enclosed angles are known. In some such cases, the triangle is not uniquely determined by this data (called the ''ambiguous case'') and the technique gives two possible values for the enclosed angle. The law of sines is on ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Special Right Triangles
A special right triangle is a right triangle with some regular feature that makes calculations on the triangle easier, or for which simple formulas exist. For example, a right triangle may have angles that form simple relationships, such as 45°–45°–90°. This is called an "angle-based" right triangle. A "side-based" right triangle is one in which the lengths of the sides form ratios of Natural number, whole numbers, such as 3 : 4 : 5, or of other special numbers such as the golden ratio. Knowing the relationships of the angles or ratios of sides of these special right triangles allows one to quickly calculate various lengths in geometry, geometric problems without resorting to more advanced methods. Angle-based ''Angle-based'' special right triangles are specified by the relationships of the angles of which the triangle is composed. The angles of these triangles are such that the larger (right) angle, which is 90 degree (angle), degrees or radians, is ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Routledge
Routledge ( ) is a British multinational corporation, multinational publisher. It was founded in 1836 by George Routledge, and specialises in providing academic books, academic journals, journals and online resources in the fields of the humanities, behavioral science, behavioural science, education, law, and social science. The company publishes approximately 1,800 journals and 5,000 new books each year and their backlist encompasses over 140,000 titles. Routledge is claimed to be the largest global academic publisher within humanities and social sciences. In 1998, Routledge became a subdivision and Imprint (trade name), imprint of its former rival, Taylor & Francis, Taylor & Francis Group (T&F), as a result of a £90-million acquisition deal from Cinven, a venture capital group which had purchased it two years previously for £25 million. Following the merger of Informa and T&F in 2004, Routledge became a publishing unit and major imprint within the Informa "academic publishing ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Seyyed Hossein Nasr
Seyyed Hossein Nasr (born April 7, 1933) is an Iranian Americans, Iranian-American academic, philosophy, philosopher, theology, theologian, and Ulama, Islamic scholar. He is University Professor of Islamic studies at George Washington University. Born in Tehran, Nasr completed his education in the Pahlavi Iran, Imperial State of Iran and the United States, earning a Bachelor's degree, B.A. in physics from Massachusetts Institute of Technology, a Master's degree, M.A. in geology and geophysics, and a Doctor of Philosophy, doctorate in the history of science from Harvard University. He returned to his homeland in 1958, turning down teaching positions at MIT and Harvard, and was appointed a professor of philosophy and Islamic sciences at Tehran University. He held various academic positions in Iran, including vice-chancellor at Tehran University and president of Sharif University of Technology, Aryamehr University, and established the Iranian Research Institute of Philosophy, Imperia ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Edward Stewart Kennedy
Edward Stewart Kennedy (3 January 1912 – 4 May 2009) was a historian of science specializing in medieval Islamic astronomical tables written in Persian and Arabic. Edward S. Kennedy studied electrical engineering at Lafayette College, graduating in 1932. He then traveled to Iran to teach at Alborz College, at that time directed by the American Presbyterian Mission. In the Persian language environment, Kennedy made a study of Persian and became fluent in the language. After four years, he returned to Pennsylvania and took up study of series of exponential form related to Lambert series while at Lehigh University. He graduated Ph.D. in 1939. When war broke out he enlisted with the US Army and was sent to Tehran to serve as an attaché, given his fluency in Persian. After the war, he saw Sarton and Neugebauer at Harvard as he had taken an interest in early Persian and Arabic science. Then he began to teach at the American University in Beirut (1946 to 1976). In 1951, he marri ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
