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Nicholas Rhabdas
Nicholas Artabasdos Rhabdas was an early-14th century Byzantine mathematician. Born in Smyrna, he occupied a position in imperial administration in Constantinople. He is known for three mathematical letters and an unpublished grammatical treatise. Biography Little is known about his life. Nicholas Artabasdos Rhabdas was born in Smyrna, and occupied a "high-brow imperial functionary of the imperial fiscal administration" position in Constantinople c. 1320–1342. Nicholas Adontz argued, based on his name (from Armenian Artavazd) that he was certainly Armenian and had "just arrived in Smyrna from the east" and was not an old resident of Byzantium. A. Riehle offered new periodization of Rhabdas' life, and assumed that he was born c. 1295, based on a letter to Andronikos Zarides, that tells that "a partial solar eclipse will occur on June 26, 1321, while a lunar eclipse will take place on July 10, 1321." Manuel Moschopoulos dedicated to Rhabdas a treatise on magic squares, and call ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Notice Sur Les Deux Lettres Arithmétiques De Nicolas Rhabdas
Notice is the legal concept describing a requirement that a party (law), party be aware of legal process affecting their rights, obligations or duties. There are several types of notice: public notice (or legal notice), actual notice, constructive notice. Service of process At common law, notice is the fundamental principle in service of process. In this case, the service of process puts the defendant "on notice" of the allegations contained within the complaint, or other such pleading. Since notice is fundamental, a court may rule a pleading defective if it does not put the defendant on notice. In a civil action, civil case, personal jurisdiction over a defendant is obtained by service of a summons. Service of process, Service can be accomplished by personal delivery of the summons or subpoena to the person or an authorized agent of the person. Service may also be made by substitute means; for example, in many jurisdictions, service of a summons can be made on a person of su ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Maximos Planudes
Maximus Planudes (, ''Máximos Planoúdēs''; ) was a Byzantine Greek monk, scholar, anthologist, translator, mathematician, grammarian and theologian at Constantinople. Through his translations from Latin into Greek and from Greek into Latin, he brought the Greek East and the Latin West into closer contact with one another. He is now best known as a compiler of the ''Greek Anthology''. Biography Maximus Planudes lived during the reigns of the Byzantine emperors Michael VIII and Andronikos II. He was born at Nicomedia in Bithynia in 1260, but the greater part of his life was spent in Constantinople, where as a monk he devoted himself to study and teaching. On entering the monastery he changed his original name Manuel to Maximus. Planudes possessed a knowledge of Latin remarkable at a time when Rome and Italy were regarded with some hostility by the Greeks of the Byzantine Empire. To this accomplishment he probably owed his selection as one of the ambassadors sent by emperor And ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Grammarians From The Byzantine Empire
Grammarian may refer to: * Alexandrine grammarians, philologists and textual scholars in Hellenistic Alexandria in the 3rd and 2nd centuries BCE * Biblical grammarians, scholars who study the Bible and the Hebrew language * Grammarian (Greco-Roman), a teacher in the second stage in the traditional education system * Linguist, a scientist who studies language ** Grammarian, a linguistic specialist in grammar, the structural rules that govern natural languages * Philologist, a scholar of literary criticism, history, and language * Sanskrit grammarian, scholars who studied the grammar of Sanskrit * Speculative grammarians or Modistae, a 13th and 14th century school of philosophy * Grammarians of Basra, scholars of Arabic * Grammarians of Kufa, scholars of Arabic See also * ''Grammaticus'', a name used by several scholars * Neogrammarian The Neogrammarians (, , ) were a German school of linguists, originally at the University of Leipzig, in the late 19th century who proposed the Neo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Diophantus
Diophantus of Alexandria () (; ) was a Greek mathematician who was the author of the '' Arithmetica'' in thirteen books, ten of which are still extant, made up of arithmetical problems that are solved through algebraic equations. Although Joseph-Louis Lagrange called Diophantus "the inventor of algebra" he did not invent it; however, his exposition became the standard within the Neoplatonic schools of Late antiquity, and its translation into Arabic in the 9th century AD and had influence in the development of later algebra: Diophantus' method of solution matches medieval Arabic algebra in its concepts and overall procedure. The 1621 edition of ''Arithmetica'' by Bachet gained fame after Pierre de Fermat wrote his famous " Last Theorem" in the margins of his copy. In modern use, Diophantine equations are algebraic equations with integer coefficients for which integer solutions are sought. Diophantine geometry and Diophantine approximations are two other subareas of number theo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Computus
As a moveable feast, the date of Easter is determined in each year through a calculation known as – often simply ''Computus'' – or as paschalion particularly in the Eastern Orthodox Church. Easter is celebrated on the first Sunday after the Paschal full moon (a mathematical approximation of the first astronomical full moon, on or after 21 March itself a fixed approximation of the March equinox). Determining this date in advance requires a correlation between the lunar months and the solar year, while also accounting for the month, date, and weekday of the Julian or Gregorian calendar. The complexity of the algorithm arises because of the desire to associate the date of Easter with the date of the Jewish feast of Passover which, Christians believe, is when Jesus was crucified. It was originally feasible for the entire Christian Church to receive the date of Easter each year through an annual announcement by the pope. By the early third century, however, communic ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Finger-counting
Finger-counting, also known as dactylonomy, is the act of counting using one's fingers. There are multiple different systems used across time and between cultures, though many of these have seen a decline in use because of the spread of Arabic numerals. Finger-counting can serve as a form of manual communication, particularly in marketplace trading – including hand signaling during open outcry in floor trading – and also in hand games, such as morra. Finger-counting is known to go back to ancient Egypt at least, and probably even further back. notes that as early as the 3rd millennium BCE, in Egypt's Old Kingdom, in the Pyramid texts' "Spell for obtaining a ferry-boat", the ferryman might object "Did you bring me a man who cannot number his fingers?". This spell was needed to cross a canal of the nether-world, as detailed in the Book of the Dead. Historical counting Complex systems of dactylonomy were used in the ancient world. The Greco-Roman author Plutarch, in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Andronikos II Palaiologos
Andronikos II Palaiologos (; 25 March 1259 – 13 February 1332), Latinization of names, Latinized as Andronicus II Palaeologus, reigned as Byzantine emperor from 1282 to 1328. His reign marked the beginning of the recently restored empire's final decline. The Turks conquered most of Byzantium's remaining Anatolian territories, and Andronikos spent the last years of his reign fighting his Andronikos III Palaiologos, own grandson in the First Palaiologan Civil War. The war ended in Andronikos' forced abdication in 1328, after which he retired to a monastery for the remainder of his life. Life Early life Andronikos was born on 25 March 1259, at Nicaea. He was the eldest surviving son of Michael VIII Palaiologos and Theodora Palaiologina (Byzantine empress), Theodora Palaiologina, grandniece of John III Doukas Vatatzes. Andronikos was acclaimed co-emperor in 1261, after his father Michael VIII recovered Constantinople from the Latin Empire, but he was not crowned unti ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nikephoros Gregoras
Nicephorus Gregoras (; Greek: , ''Nikēphoros Grēgoras''; c. 1295 – 1360) was a Byzantine Greek astronomer, historian, and theologian. His 37-volume ''Roman History'', a work of erudition, constitutes a primary documentary source for the 14th century. Life Gregoras was born at Heraclea Pontica, where he was raised and educated by his uncle, John, who was the Bishop of Heraclea. At an early age he settled at Constantinople, where his uncle introduced him to Andronicus II Palaeologus, by whom he was appointed '' chartophylax'' (keeper of the archives). In 1326 Gregoras proposed (in a treatise which remains in existence) certain reforms in the calendar, which the emperor refused to carry out for fear of disturbances; over two hundred years later they were introduced by Gregory XIII on almost the same lines. Downfall of Andronicus II When Andronicus was dethroned (1328) by his grandson Andronicus III Palaeologus, Gregoras shared his downfall and retired into private life ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Magic Squares
In mathematics, especially historical and recreational mathematics, a square array of numbers, usually positive integers, is called a magic square if the sums of the numbers in each row, each column, and both main diagonals are the same. The "order" of the magic square is the number of integers along one side (''n''), and the constant sum is called the " magic constant". If the array includes just the positive integers 1,2,...,n^2, the magic square is said to be "normal". Some authors take "magic square" to mean "normal magic square". Magic squares that include repeated entries do not fall under this definition and are referred to as "trivial". Some well-known examples, including the Sagrada Família magic square and the Parker square, are trivial in this sense. When all the rows and columns but not both diagonals sum to the magic constant, this gives a semimagic square (sometimes called orthomagic square). The mathematical study of a magic square typically deals with its con ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Smyrna
Smyrna ( ; , or ) was an Ancient Greece, Ancient Greek city located at a strategic point on the Aegean Sea, Aegean coast of Anatolia, Turkey. Due to its advantageous port conditions, its ease of defence, and its good inland connections, Smyrna rose to prominence. Since about 1930, the city's name has been İzmir. Two sites of the ancient city are today within İzmir's boundaries. The first, probably founded by indigenous peoples, rose to prominence during the Archaic period in Greece, Archaic Period as one of the principal ancient Greek settlements in western Anatolia. The second, whose foundation is associated with Alexander the Great, reached metropolitan proportions during the period of the Roman Empire. Most of the ancient city's present-day remains date to the Roman era, the majority from after a 2nd-century AD earthquake. In practical terms, a distinction is often made between these. ''Old Smyrna'' was the initial settlement founded around the 11th century BC, first as an ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Manuel Moschopoulos
Manuel Moschopoulos ( Latinized as Manuel Moschopulus; ), was a Byzantine commentator and grammarian, who lived during the end of the 13th and the beginning of the 14th century and was an important figure in the Palaiologan Renaissance. ''Moschopoulos'' means "little calf," and is probably a nickname. Life Moschopoulos was a student of Maximos Planudes and possibly his successor as a head of a school in Constantinople, where he taught throughout his life. A mysterious and ill-documented excursion into politics led to his imprisonment for a while. Works His chief work is ''Erotemata grammaticalia'' (), in the form of question and answer, based upon an anonymous epitome of grammar, and supplemented by a lexicon of Attic nouns. He was also the author of ''scholia'' on the first and second books of the ''Iliad'', on Hesiod, Theocritus, Pindar and other classical and later authors; of riddles, letters, and a treatise on the magic squares. His grammatical treatises formed the foundati ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lunar Eclipse
A lunar eclipse is an astronomical event that occurs when the Moon moves into the Earth's shadow, causing the Moon to be darkened. Such an alignment occurs during an eclipse season, approximately every six months, during the full moon phase, when the Moon's orbital plane is closest to Ecliptic, the plane of the Earth's orbit. This can occur only when the Sun, Earth, and Moon are exactly or very closely aligned (in syzygy (astronomy), syzygy) with Earth between the other two, which can happen only on the night of a full moon when the Moon is near either lunar node. The type and length of a lunar eclipse depend on the Moon's proximity to the lunar node. When the Moon is totally eclipsed by the Earth (a "deep eclipse"), "What is a deep eclipse? The smaller star is behind the bigger star" it takes on a reddish color that is caused by the planet when it completely blocks direct sunlight from reaching the Moon's surface, as the only light that is diffuse reflection, reflected from ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
