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Dicuil
Dicuilus (or the more vernacular version of the name Dícuil) was an Irish monk and geographer, born during the second half of the 8th century. Background The exact dates of Dicuil's birth and death are unknown. Of his life nothing is known except that he probably belonged to one of the numerous Irish monasteries of the Frankish Kingdom, and became acquainted by personal observation with islands near England and Scotland. From 814 and 816 Dicuil taught in one of the schools of Louis the Pious, where he wrote an astronomical work, and in 825 a geographical work. Dicuil's reading was wide; he quotes from, or refers to, thirty Greek and Latin writers, including the classical Homer, Hecataeus, Herodotus, Thucydides, Virgil, Pliny and King Juba, the late classical Solinus, the patristic St Isidore and Orosius, and his contemporary the Irish poet Sedulius. In particular, he professes to utilize the alleged surveys of the Roman world executed by order of Julius Caesar, Augustus and ...
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Triangular Numbers
A triangular number or triangle number counts objects arranged in an equilateral triangle. Triangular numbers are a type of figurate number, other examples being square numbers and cube numbers. The th triangular number is the number of dots in the triangular arrangement with dots on each side, and is equal to the sum of the natural numbers from 1 to . The sequence of triangular numbers, starting with the 0th triangular number, is (This sequence is included in the On-Line Encyclopedia of Integer Sequences .) Formula The triangular numbers are given by the following explicit formulas: T_n= \sum_^n k = 1+2+3+ \dotsb +n = \frac = , where \textstyle is a binomial coefficient. It represents the number of distinct pairs that can be selected from objects, and it is read aloud as " plus one choose two". The first equation can be illustrated using a visual proof. For every triangular number T_n, imagine a "half-square" arrangement of objects corresponding to the triangular numb ...
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Hibernicus Exul
''Hibernicus exul'' ( fl. 8th century) was an anonymous Irish Latin poet, grammarian, and dialectician. His works include a comic mock epic, a panegyric to Charlemagne, epigrams of advice to young scholars and a poetic overview of the seven liberal arts. Overview ''Hibernicus exul'' is Latin for "Hibernian exile", and this is the name given to an anonymous Hiberno-Latin poet of the Carolingian Renaissance who lived and wrote in Francia. The poet has been variously identified with both Dungal and Dicuil. Thirty-eight of his poems are extant, all of which are preserved in a single manuscript in the Vatican Library (Bibl. Apostolica, Reg. lat. 2078). ''Ad Karolum Regem'' The anonymous exile's most famous work is a fragmentary Latin eclogue praising Charlemagne for his defeat of Tassilo III of Bavaria in 787. The poem, ''Ad Karolum Regem'' (To King Charles) in the Monumenta Germaniae Historica and ''In Praise of Poetry'' in Peter Godman's excerpted English translation, is writt ...
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Frankish Kingdom
Francia, also called the Kingdom of the Franks ( la, Regnum Francorum), Frankish Kingdom, Frankland or Frankish Empire ( la, Imperium Francorum), was the largest post-Roman barbarian kingdom in Western Europe. It was ruled by the Franks during late antiquity and the Early Middle Ages. After the Treaty of Verdun in 843, West Francia became the predecessor of France, and East Francia became that of Germany. Francia was among the last surviving Germanic kingdoms from the Migration Period era before its partition in 843. The core Frankish territories inside the former Western Roman Empire were close to the Rhine and Meuse rivers in the north. After a period where small kingdoms interacted with the remaining Gallo-Roman institutions to their south, a single kingdom uniting them was founded by Clovis I who was crowned King of the Franks in 496. His dynasty, the Merovingian dynasty, was eventually replaced by the Carolingian dynasty. Under the nearly continuous campaigns of Pep ...
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Theodosius II
Theodosius II ( grc-gre, Θεοδόσιος, Theodosios; 10 April 401 – 28 July 450) was Roman emperor for most of his life, proclaimed ''Augustus (title), augustus'' as an infant in 402 and ruling as the eastern Empire's sole emperor after the death of his father Arcadius in 408. His reign was marked by the promulgation of the Theodosian law code and the construction of the Theodosian Walls of Constantinople. He also presided over the outbreak of two great Christological controversies, Nestorianism and Eutychianism. Early life Theodosius was born on 10 April 401 as the only son of Emperor Arcadius and his wife Aelia Eudoxia.''PLRE'' 2, p. iarchive:prosopography-later-roman-empire/PLRE-II/page/1100/mode/2up, 1100 On 10 January 402, at the age of 9 months, he was proclaimed co-a''ugustus'' by his father, thus becoming the youngest to bear the imperial title Michael III, up to that point. On 1 May 408, his father died and the seven-year-old boy became emperor of the Eastern ...
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Asia
Asia (, ) is one of the world's most notable geographical regions, which is either considered a continent in its own right or a subcontinent of Eurasia, which shares the continental landmass of Afro-Eurasia with Africa. Asia covers an area of , about 30% of Earth's total land area and 8.7% of Earth's total surface area. The continent, which has long been home to the majority of the human population, was the site of many of the first civilizations. Its 4.7 billion people constitute roughly 60% of the world's population. In general terms, Asia is bounded on the east by the Pacific Ocean, on the south by the Indian Ocean, and on the north by the Arctic Ocean. The border of Asia with Europe is a historical and cultural construct, as there is no clear physical and geographical separation between them. It is somewhat arbitrary and has moved since its first conception in classical antiquity. The division of Eurasia into two continents reflects East–West cultural, linguistic, ...
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Europe
Europe is a large peninsula conventionally considered a continent in its own right because of its great physical size and the weight of its history and traditions. Europe is also considered a Continent#Subcontinents, subcontinent of Eurasia and it is located entirely in the Northern Hemisphere and mostly in the Eastern Hemisphere. Comprising the westernmost peninsulas of Eurasia, it shares the continental landmass of Afro-Eurasia with both Africa and Asia. It is bordered by the Arctic Ocean to the north, the Atlantic Ocean to the west, the Mediterranean Sea to the south and Asia to the east. Europe is commonly considered to be Boundaries between the continents of Earth#Asia and Europe, separated from Asia by the drainage divide, watershed of the Ural Mountains, the Ural (river), Ural River, the Caspian Sea, the Greater Caucasus, the Black Sea and the waterways of the Turkish Straits. "Europe" (pp. 68–69); "Asia" (pp. 90–91): "A commonly accepted division between Asia and E ...
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Paulus Orosius
Paulus Orosius (; born 375/385 – 420 AD), less often Paul Orosius in English, was a Roman priest, historian and theologian, and a student of Augustine of Hippo. It is possible that he was born in ''Bracara Augusta'' (now Braga, Portugal), then capital of the Roman province of Gallaecia, which would have been the capital of the Kingdom of the Suebi by his death. Although there are some questions regarding his biography, such as his exact date of birth, it is known that he was a person of some prestige from a cultural point of view, as he had contact with the greatest figures of his time such as Augustine of Hippo and Jerome of Stridon. In order to meet with them Orosius travelled to cities on the southern coast of the Mediterranean Sea, such as Hippo Regius, Alexandria, and Jerusalem. These journeys defined his life and intellectual output. Orosius did not just discuss theological matters with Augustine; he also collaborated with him on the book '' City of God''. In addition, ...
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Godescalc Evangelistary
The Godescalc Evangelistary, Godescalc Sacramentary, Godescalc Gospels, or Godescalc Gospel Lectionary (Paris, BNF. acquisitions nouvelles lat.1203) is an illuminated manuscript in Latin made by the Frankish scribe Godescalc and today kept in the Bibliothèque nationale de France. It was commissioned by the Carolingian king Charlemagne and his wife Hildegard on October 7, 781 and completed on April 30, 783. The Evangelistary is the earliest known manuscript produced at the scriptorium in Charlemagne's Court School in Aachen. The manuscript was intended to commemorate Charlemagne's march to Italy, his meeting with Pope Adrian I, and the baptism of his son Pepin. The crediting of the work to Godescalc and the details of Charlemagne's march are contained in the manuscript's dedication poem. Description The manuscript, a product of the Carolingian Renaissance, is the earliest example of a Carolingian illumination style. This style was characterized by naturalist motifs in the decor ...
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Godescalc
Gottschalk or Godescalc (Old High German) is a male German name that can be translated literally as "servant of God". Latin forms include ''Godeschalcus'' and ''Godescalcus''. Given name *Godescalc of Benevento, 8th-century Lombard duke *Godescalc (), Carolingian scribe; author of the Godescalc Evangelistary *Godescalc of Le Puy, 10th-century bishop, first documented pilgrim of the Via Podiensis *Gottschalk of Orbais, a 9th-century theologian, poet, and unwilling monk, best known as a hero of the Jansenists and for his conflict with Hincmar *Gottschalk (Slavic prince), 11th-century Slavic Prince of the Wends (Saint Gottschalk) *a 12th-century Holstein peasant, protagonist of the ''Visio Godeschalci'' Surname *Alfred Gottschalk (biochemist) (1894–1973), German biochemist * Alfred Gottschalk (rabbi) (1930–2009), German-born American rabbi *Ben Gottschalk (born 1992), American NFL football player *Carl W. Gottschalk (1922–1997), American professor and kidney researcher *Elisabet ...
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Carolingian
The Carolingian dynasty (; known variously as the Carlovingians, Carolingus, Carolings, Karolinger or Karlings) was a Frankish noble family named after Charlemagne, grandson of mayor Charles Martel and a descendant of the Arnulfing and Pippinid clans of the 7th century AD. The dynasty consolidated its power in the 8th century, eventually making the offices of mayor of the palace and '' dux et princeps Francorum'' hereditary, and becoming the ''de facto'' rulers of the Franks as the real powers behind the Merovingian throne. In 751 the Merovingian dynasty which had ruled the Germanic Franks was overthrown with the consent of the Papacy and the aristocracy, and Pepin the Short, son of Martel, was crowned King of the Franks. The Carolingian dynasty reached its peak in 800 with the crowning of Charlemagne as the first Emperor of the Romans in the West in over three centuries. His death in 814 began an extended period of fragmentation of the Carolingian Empire and decline that w ...
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Intercalary Days
Intercalation or embolism in timekeeping is the insertion of a leap day, week, or month into some calendar years to make the calendar follow the seasons or moon phases. Lunisolar calendars may require intercalations of both days and months. Solar calendars The solar or tropical year does not have a whole number of days (it is about 365.24 days), but a calendar year must have a whole number of days. The most common way to reconcile the two is to vary the number of days in the calendar year. In solar calendars, this is done by adding to a common year of 365 days, an extra day ("leap day" or "intercalary day") about every four years, causing a leap year to have 366 days ( Julian, Gregorian and Indian national calendars). The Decree of Canopus, which was issued by the pharaoh Ptolemy III Euergetes of Ancient Egypt in 239 BCE, decreed a solar leap day system; an Egyptian leap year was not adopted until 25 BC, when the Roman Emperor Augustus successfully instituted a reformed A ...
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Valenciennes
Valenciennes (, also , , ; nl, label=also Dutch, Valencijn; pcd, Valincyinnes or ; la, Valentianae) is a commune in the Nord department, Hauts-de-France, France. It lies on the Scheldt () river. Although the city and region experienced a steady population decline between 1975 and 1990, it has since rebounded. The 1999 census recorded that the population of the commune of Valenciennes was 41,278, and that of the metropolitan area was 399,677. History Before 1500 Valenciennes is first mentioned in 693 in a legal document written by Clovis II (''Valentiana''). In the 843 Treaty of Verdun, it was made a neutral city between Neustria and the Austrasia. Later in the 9th century the region was overrun by the Normans, and in 881 the town passed to them. In 923 it passed to the Duchy of Lower Lotharingia dependent on the Holy Roman Empire. Once the Empire of the Franks was established, the city began to develop, though the archaeological record has still not revealed all it has to ...
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