Western Arabic Numerals
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Western Arabic Numerals
Arabic numerals are the ten numerical digits: , , , , , , , , and . They are the most commonly used symbols to write decimal numbers. They are also used for writing numbers in other systems such as octal, and for writing identifiers such as computer symbols, trademarks, or license plates. The term often implies a decimal number, in particular when contrasted with Roman numerals. They are also called Western Arabic numerals, Ghubār numerals, Hindu-Arabic numerals, Western digits, Latin digits, or European digits. The ''Oxford English Dictionary'' differentiates them with the fully capitalized ''Arabic Numerals'' to refer to the Eastern digits. The term numbers or numerals or digits often implies only these symbols, however this can only be inferred from context. It was in the Algerian city of Béjaïa that the Italian scholar Fibonacci first encountered the numerals; his work was crucial in making them known throughout Europe. European trade, books, and colonialism helped po ...
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Hindu-Arabic Numerals
Arabic numerals are the ten numerical digits: , , , , , , , , and . They are the most commonly used symbols to write decimal numbers. They are also used for writing numbers in other systems such as octal, and for writing identifiers such as computer symbols, trademarks, or license plates. The term often implies a decimal number, in particular when contrasted with Roman numerals. They are also called Western Arabic numerals, Ghubār numerals, Hindu-Arabic numerals, Western digits, Latin digits, or European digits. The ''Oxford English Dictionary'' differentiates them with the fully capitalized ''Arabic Numerals'' to refer to the Eastern digits. The term numbers or numerals or digits often implies only these symbols, however this can only be inferred from context. It was in the Algerian city of Béjaïa that the Italian scholar Fibonacci first encountered the numerals; his work was crucial in making them known throughout Europe. European trade, books, and colonialism helped p ...
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Alī Ibn Ahmad Al-Nasawī
Alī ibn Aḥmad al-Nasawī (c. 1011 possibly in Khurasan – c. 1075 in Baghdad) was a Persian mathematician from Khurasan, Iran. He flourished under the Buwayhid sultan Majd al-dowleh, who died in 1029-30AD, and under his successor. He wrote a book on arithmetic in Persian, and then Arabic, entitled the "Satisfying (or Convincing) on Hindu Calculation" (''al-muqni fi-l-hisab al Hindi''). He also wrote on Archimedes's ''Book of Lemmas'' and Menelaus's theorem (''Kitab al-ishba'', or "satiation"), where he made corrections to the ''Book of Lemmas'' as translated into Arabic by Thabit ibn Qurra and last revised by Nasir al-Din al-Tusi. Al-Nasawī's arithmetic explains the division of fractions and the extraction of square and cubic roots (square root of 57,342; cubic root of 3, 652, 296) almost in the modern manner. Al-Nasawī replaces sexagesimal by decimal fractions. Al-Nasawī criticises earlier authors, but in many cases incorrectly. His work was not original, and he someti ...
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Pope Sylvester II
Pope Sylvester II ( – 12 May 1003), originally known as Gerbert of Aurillac, was a French-born scholar and teacher who served as the bishop of Rome and ruled the Papal States from 999 to his death. He endorsed and promoted study of Arab and Greco-Roman arithmetic, mathematics and astronomy, reintroducing to Europe the abacus and armillary sphere, which had been lost to Latin Europe since the end of the Greco-Roman era. He is said to be the first in Europe to introduce the decimal numeral system using the Hindu-Arabic numeral system. He is credited with the invention of the first mechanical clock in 996. Early life Gerbert was born about 946 in the town of Belliac, near the present-day commune of Saint-Simon, Cantal, France. Around 963, he entered the Monastery of St. Gerald of Aurillac. In 967, Count Borrell II of Barcelona (947–992) visited the monastery, and the abbot asked the count to take Gerbert with him so that the lad could study mathematics in Catalonia and acquir ...
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Aurillac
Aurillac (; oc, Orlhac ) is the prefecture of the Cantal department, in the Auvergne-Rhône-Alpes region of France. The inhabitants of the commune are known as ''Aurillacois'' or ''Aurillacoises''. Geography Aurillac is at above sea level and located at the foot of the Cantal mountains in a small Sedimentary basin. The city is built on the banks of the Jordanne, a tributary of the Cère. It is south of Paris and north of Toulouse. Aurillac was part of a former Auvergne province called Haute-Auvergne and is only away from the heart of the Auvergne Volcano Park. Access to the commune is by numerous roads including the D922 from Naucelles in the north, the D17 from Saint-Simon in the north-east, Route nationale N122 from Polminhac in the east which continues to Sansac-de-Marmiesse in the south-west, the D920 to Arpajon-sur-Cère in the south-east, and the D18 to Ytrac in the west. Aurillac station, in the centre of town, lies on the Figeac-Arvant railway. It has rail con ...
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Names For The Number 0 In English
"Zero" is the usual name for the number 0 in English. In British English "nought" is also used. In American English "naught" is used occasionally for zero, but (as with British English) "naught" is more often used as an archaic word for nothing. "Nil", "love", and "duck" are used by different sports for scores of zero. There is a need to maintain an explicit distinction between digit zero and letter O, which, because they are both usually represented in English orthography (and indeed most orthographies that use Latin script and Arabic numerals) with a simple circle or oval, have a centuries-long history of being frequently conflated. However, in spoken English, the number 0 is often read as the letter " o" (" oh"). For example, when dictating a telephone number, the series of digits "1070" may be spoken as "one zero seven zero" or as "one oh seven oh", even though the letter "O" on the telephone keypad in fact corresponds to the digit 6. In certain contexts, zero and nothing are ...
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Hispania
Hispania ( la, Hispānia , ; nearly identically pronounced in Spanish, Portuguese, Catalan, and Italian) was the Roman name for the Iberian Peninsula and its provinces. Under the Roman Republic, Hispania was divided into two provinces: Hispania Citerior and Hispania Ulterior. During the Principate, Hispania Ulterior was divided into two new provinces, Baetica and Lusitania, while Hispania Citerior was renamed Hispania Tarraconensis. Subsequently, the western part of Tarraconensis was split off, first as Hispania Nova, later renamed "Callaecia" (or Gallaecia, whence modern Galicia). From Diocletian's Tetrarchy (AD 284) onwards, the south of the remainder of Tarraconensis was again split off as Carthaginensis, and all of the mainland Hispanic provinces, along with the Balearic Islands and the North African province of Mauretania Tingitana, were later grouped into a civil diocese headed by a ''vicarius''. The name Hispania was also used in the period of Visigothic rule. The mod ...
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Illuminated Manuscript
An illuminated manuscript is a formally prepared document where the text is often supplemented with flourishes such as borders and miniature illustrations. Often used in the Roman Catholic Church for prayers, liturgical services and psalms, the practice continued into secular texts from the 13th century onward and typically include proclamations, enrolled bills, laws, charters, inventories and deeds. While Islamic manuscripts can also be called illuminated, and use essentially the same techniques, comparable Far Eastern and Mesoamerican works are described as ''painted''. The earliest illuminated manuscripts in existence come from the Kingdom of the Ostrogoths and the Eastern Roman Empire and date from between 400 and 600 CE. Examples include the Codex Argenteus and the Rossano Gospels, both of which are from the 6th century. The majority of extant manuscripts are from the Middle Ages, although many survive from the Renaissance, along with a very limited number from Late Antiqu ...
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Codex Vigilanus
The ''Codex Vigilanus'' or ''Codex Albeldensis'' (Spanish: ''Códice Vigilano'' or ''Albeldense'') is an illuminated compilation of various historical documents accounting for a period extending from antiquity to the 10th century in Hispania. Among the many texts brought together by the compilers are the canons of the Visigothic Councils of Toledo, the ''Liber Iudiciorum'', the decrees of some early popes and other patristic writings, historical narratives (such as the ''Crónica Albeldense'' and the '' Life of Mohammed''), various other pieces of civil and canon law, and a calendar. It is now in the library of El Escorial monastery, with the shelfmark D.I.2. The compilers were three monks of the Riojan monastery of San Martín de Albelda: Vigila, after whom it was named and who was the illustrator; Serracino, his friend; and García, his disciple. The first compilation was finished in 881, but was updated up to 976. The original manuscript is preserved in the library of El ...
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Codex Vigilanus Primeros Numeros Arabigos
The codex (plural codices ) was the historical ancestor of the modern book. Instead of being composed of sheets of paper, it used sheets of vellum, papyrus, or other materials. The term ''codex'' is often used for ancient manuscript books, with handwritten contents. A codex, much like the modern book, is bound by stacking the pages and securing one set of edges by a variety of methods over the centuries, yet in a form analogous to modern bookbinding. Modern books are divided into paperback or softback and those bound with stiff boards, called hardbacks. Elaborate historical bindings are called treasure bindings. At least in the Western world, the main alternative to the paged codex format for a long document was the continuous scroll, which was the dominant form of document in the ancient world. Some codices are continuously folded like a concertina, in particular the Maya codices and Aztec codices, which are actually long sheets of paper or animal skin folded into pages. The ...
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Abu'l-Hasan Al-Uqlidisi
Abu'l Hasan Ahmad ibn Ibrahim Al-Uqlidisi ( ar, أبو الحسن أحمد بن ابراهيم الإقليدسي) was a Muslim Arab mathematician, who was active in Damascus and Baghdad. He wrote the earliest surviving book on the positional use of the Arabic numerals, ''Kitab al-Fusul fi al-Hisab al-Hindi (The Arithmetics of India)'' around 952.The Arithmetics of Al-Uqlisidi, The story of Hindu-Arabic Arithmetic, translated and annotated by A.S.Saidan, D.Reidel Publishing Company,Boston, 1978 It is especially notable for its treatment of decimal fractions, and that it showed how to carry out calculations without deletions. While the Persian mathematician Jamshīd al-Kāshī claimed to have discovered decimal fractions himself in the 15th century, J. Lennart Berggren notes that he was mistaken, as decimal fractions were first used five centuries before him by al-Uqlidisi as early as the 10th century. A. S. Saidan who studied al-Uqlidisi's mathematical treatise in detail wrote: Th ...
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Toledo, Spain
Toledo ( , ) is a city and municipality of Spain, capital of the province of Toledo and the ''de jure'' seat of the government and parliament of the autonomous communities of Spain, autonomous community of Castilla–La Mancha. Toledo was declared a World Heritage Site by UNESCO in 1986 for its extensive monumental and cultural heritage. Located on the banks of the Tagus in central Iberian Peninsula, Iberia, Toledo is known as the "City of the Three Cultures" for the cultural influences of Christians, Muslims, and Jews throughout its history. It was the capital, from 542 to 725 CE, of the Visigothic kingdom, which followed the fall of the Roman Empire. Toledo was also the location of historic events such as the Councils of Toledo and was labelled the "Imperial City" due to the fact that it was the main venue of the court of Charles V, Holy Roman Emperor in Spain. The city, seat of a powerful archdiocese for much of its history, has a Gothic Cathedral, the ''Cathedral of Toledo, Ca ...
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Etymologiae
''Etymologiae'' (Latin for "The Etymologies"), also known as the ''Origines'' ("Origins") and usually abbreviated ''Orig.'', is an etymological encyclopedia compiled by Isidore of Seville (c. 560–636) towards the end of his life. Isidore was encouraged to write the book by his friend Braulio, Bishop of Saragossa. ''The Etymologies'' summarized and organized a wealth of knowledge from hundreds of classical sources; three of its books are derived largely from Pliny the Elder's '' Natural History''. Isidore acknowledges Pliny, but not his other principal sources, namely Cassiodorus, Servius and Solinus. The work contains whatever Isidore, an influential Christian bishop, thought worth keeping. ''Etymologiae'' covers an encyclopedic range of topics. Etymology, the origins of words, is prominent, but the work covers among other things: grammar, rhetoric, mathematics, geometry, music, astronomy, medicine, law, the Roman Catholic Church and heretical sects, pagan philosophers, lang ...
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