Franco Of Liège
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Franco Of Liège
Franco of Liège (died ) was an 11th-century mathematician who worked on squaring the circle. He was the chancellor (attested 1057) and later scholaster of Saint Lambert's Cathedral, Liège (before 1066-after 1083). F.P.C. De Jong, "A Comparative Study of Schoolmasters in Eleventh Century Normandy and the Southern Low Countries", Ph.D. thesis, 2018 His ''De quadratura circuli'', explaining his efforts to square the circle, was written around 1050. The musical treatise ''Quaestiones in musica'', primarily ascribed to Rudolf of St Trond, has also been attributed to him. Sigebert of Gembloux Sigebert of Gembloux (Sigebertus Gemblacensis; 1030 – 5 October 1112) was a medieval author, known mainly as a pro-Imperial historian of a universal chronicle, opposed to the expansive papacy of Gregory VII and Pascal II. Early in his life h ... ascribes to him other works, including some saints' lives, a poem (ligno crucis) and a treatise on the ember days (De Jejunio IIIIor temporum). ...
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Squaring The Circle
Squaring the circle is a problem in geometry first proposed in Greek mathematics. It is the challenge of constructing a square with the area of a circle by using only a finite number of steps with a compass and straightedge. The difficulty of the problem raised the question of whether specified axioms of Euclidean geometry concerning the existence of lines and circles implied the existence of such a square. In 1882, the task was proven to be impossible, as a consequence of the Lindemann–Weierstrass theorem, which proves that pi (\pi) is a transcendental number. That is, \pi is not the root of any polynomial with rational coefficients. It had been known for decades that the construction would be impossible if \pi were transcendental, but that fact was not proven until 1882. Approximate constructions with any given non-perfect accuracy exist, and many such constructions have been found. Despite the proof that it is impossible, attempts to square the circle have been common ...
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Scholaster
A scholaster, from the Latin ''scholasticus'' (schoolmaster), or magister scholarum, was the head of an ecclesiastical school, typically a cathedral school, monastic school, or the school of a collegiate church, in medieval and early-modern Europe.Peter Nissen and William den Boer, "The Middle Ages after 1200", in ''Handbook of Dutch Church History'', edited by Herman Selderhuis (Göttingen, 2014), pp. 141–142. Depending on the size of the school and the status of the institution to which it was attached, the scholaster might be the only teacher, the head of a considerable educational establishment, or have oversight over all the schools in their city or territory. The scholaster might be a dignitary in a cathedral or collegiate chapter, alongside the provost, dean, cantor, succentor, precentor, archdeacon, treasurer, cellarer, sacristan or almoner An almoner (} ' (alms), via the popular Latin '. History Christians have historically been encouraged to donate one-tenth of ...
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Saint Lambert's Cathedral, Liège
St. Lambert's Cathedral, Liège (or in full, the Cathedral of Our Lady and St. Lambert; french: Cathédrale Notre-Dame-et-Saint-Lambert) was the cathedral of Liège, Belgium, until 1794, when its destruction began. This enormous Gothic cathedral, dedicated to Saint Lambert of Maastricht, occupied the site of the present Place Saint-Lambert in the centre of Liège. History Saint Lambert, bishop of Maastricht, was assassinated in Liège about 705, and was initially buried in Maastricht. The site of his martyrdom became a place of pilgrimage, and his successor, Saint Hubert, returned the body and reburied it there. Shortly afterwards, the bishop's seat was transferred from Maastricht to Liège, and Lambert's shrine became a cathedral. Several structures succeeded each other on the site. The first was a martyr's shrine or mausoleum (''martyrium''), commissioned by Saint Hubert. Unusually, it was oriented to the west, which may account for the existence of a west choir in later ...
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Rudolf Of St Trond
Rudolf of St Trond (also Rodulf, Rodolfus, Rodolphe, Radulphus, Rudolph, or Raoul, c. 1070–1138) was a Benedictine abbot of St Trond Abbey, chronicler and composer. A musical treatise ''Quaestiones in musica'' was attributed to him by the musicologist Rudolf Steglich; another suggestion is Franco of Liège. He wrote a chronicle ''Gesta Abbatum Trudonensium'', on the abbots of his abbey, beginning in 999; it is included in the '' Paleographie musicale'' and the ''Monumenta Germaniae Historica''. His description of monastic life includes details of musical practice and training methods of Guido of Arezzo Guido of Arezzo ( it, Guido d'Arezzo; – after 1033) was an Italian music theorist and pedagogue of High medieval music. A Benedictine monk, he is regarded as the inventor—or by some, developer—of the modern staff notation that had a ma .... Historian Henri de Lubac wrote that he showed "a very exacting and almost combative idea of historical truth."''Medieval Exeges ...
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Sigebert Of Gembloux
Sigebert of Gembloux (Sigebertus Gemblacensis; 1030 – 5 October 1112) was a medieval author, known mainly as a pro-Imperial historian of a universal chronicle, opposed to the expansive papacy of Gregory VII and Pascal II. Early in his life he became a monk in the Benedictine abbey of Gembloux. Biography He was born near Gembloux which is now in the Province of Namur, Belgium, about 1030. He was apparently not of Germanic background, but seems to have been of Latin descent. He received his education at the Abbey of Gembloux, where at an early age he became a monk. Later he was for a long time a teacher at the Abbey of St. Vincent at Metz; about 1070 he returned to Gembloux. He was universally admired, and had charge there of the abbey school until his death, occupied in teaching and writing.Là ...
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Cosmas Of Prague
Cosmas of Prague ( cs, Kosmas Pražský; la, Cosmas Decanus; – October 21, 1125) was a priest, writer and historian. Life Between 1075 and 1081, he studied in Liège. After his return to Bohemia, he married Božetěcha, with whom he had a son named Hermann or Zdic and remained in minor orders. His son later became Bishop of Olomouc. In 1094, he was ordained a deacon, and in 1099, he was ordained a priest at Esztergom in Hungary Works His ''magnum opus,'' written in Latin, is called ''Chronica Boemorum''. The ''Chronica'' is divided into three books: *The first book, completed in 1119, starts with the creation of the world and ends in the year 1038. It describes the legendary foundation of the Bohemian state by the oldest Bohemians around the year 600 (Duke Czech, Duke Krok and his three daughters), Duchess Libuše and the foundation of Přemyslid dynasty by her marriage with Přemysl, old bloody wars, Duke Bořivoj and the introduction of Christianity in Bohemia, Sain ...
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11th-century Births
The 11th century is the period from 1001 ( MI) through 1100 ( MC) in accordance with the Julian calendar, and the 1st century of the 2nd millennium. In the history of Europe, this period is considered the early part of the High Middle Ages. There was, after a brief ascendancy, a sudden decline of Byzantine power and a rise of Norman domination over much of Europe, along with the prominent role in Europe of notably influential popes. Christendom experienced a formal schism in this century which had been developing over previous centuries between the Latin West and Byzantine East, causing a split in its two largest denominations to this day: Roman Catholicism and Eastern Orthodoxy. In Song dynasty China and the classical Islamic world, this century marked the high point for both classical Chinese civilization, science and technology, and classical Islamic science, philosophy, technology and literature. Rival political factions at the Song dynasty court created strife amongst ...
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1080s Deaths
1 (one, unit, unity) is a number representing a single or the only entity. 1 is also a numerical digit and represents a single unit of counting or measurement. For example, a line segment of ''unit length'' is a line segment of length 1. In conventions of sign where zero is considered neither positive nor negative, 1 is the first and smallest positive integer. It is also sometimes considered the first of the infinite sequence of natural numbers, followed by  2, although by other definitions 1 is the second natural number, following  0. The fundamental mathematical property of 1 is to be a multiplicative identity, meaning that any number multiplied by 1 equals the same number. Most if not all properties of 1 can be deduced from this. In advanced mathematics, a multiplicative identity is often denoted 1, even if it is not a number. 1 is by convention not considered a prime number; this was not universally accepted until the mid-20th century. Additionally, 1 is the ...
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Scientists From Liège
A scientist is a person who conducts scientific research to advance knowledge in an area of the natural sciences. In classical antiquity, there was no real ancient analog of a modern scientist. Instead, philosophers engaged in the philosophical study of nature called natural philosophy, a precursor of natural science. Though Thales (circa 624-545 BC) was arguably the first scientist for describing how cosmic events may be seen as natural, not necessarily caused by gods,Frank N. Magill''The Ancient World: Dictionary of World Biography'', Volume 1 Routledge, 2003 it was not until the 19th century that the term ''scientist'' came into regular use after it was coined by the theologian, philosopher, and historian of science William Whewell in 1833. In modern times, many scientists have advanced degrees in an area of science and pursue careers in various sectors of the economy such as academia, industry, government, and nonprofit environments.'''' History The roles ...
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People From The Prince-Bishopric Of Liège
A person ( : people) is a being that has certain capacities or attributes such as reason, morality, consciousness or self-consciousness, and being a part of a culturally established form of social relations such as kinship, ownership of property, or legal responsibility. The defining features of personhood and, consequently, what makes a person count as a person, differ widely among cultures and contexts. In addition to the question of personhood, of what makes a being count as a person to begin with, there are further questions about personal identity and self: both about what makes any particular person that particular person instead of another, and about what makes a person at one time the same person as they were or will be at another time despite any intervening changes. The plural form " people" is often used to refer to an entire nation or ethnic group (as in "a people"), and this was the original meaning of the word; it subsequently acquired its use as a plural ...
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