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Pappos
Pappus of Alexandria (; grc-gre, Πάππος ὁ Ἀλεξανδρεύς; AD) was one of the last great Greek mathematicians of antiquity known for his ''Synagoge'' (Συναγωγή) or ''Collection'' (), and for Pappus's hexagon theorem in projective geometry. Nothing is known of his life, other than what can be found in his own writings: that he had a son named Hermodorus, and was a teacher in Alexandria.Pierre Dedron, J. Itard (1959) ''Mathematics And Mathematicians'', Vol. 1, p. 149 (trans. Judith V. Field) (Transworld Student Library, 1974) ''Collection'', his best-known work, is a compendium of mathematics in eight volumes, the bulk of which survives. It covers a wide range of topics, including geometry, recreational mathematics, doubling the cube, polygons and polyhedra. Context Pappus was active in the 4th century AD. In a period of general stagnation in mathematical studies, he stands out as a remarkable exception. "How far he was above his contemporaries, how lit ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Theodosius I
Theodosius I ( grc-gre, Θεοδόσιος ; 11 January 347 – 17 January 395), also called Theodosius the Great, was Roman emperor from 379 to 395. During his reign, he succeeded in a crucial war against the Goths, as well as in two civil wars, and recognized the Catholic orthodoxy of Nicene Christians as the Roman Empire's state religion. Theodosius was the last emperor to rule the entire Roman Empire before its administration was permanently split between two separate courts (one western, the other eastern). Born in Hispania, Theodosius was the son of a high-ranking general, Theodosius the Elder, under whose guidance he rose through the ranks of the Roman Army. Theodosius held independent command in Moesia in 374, where he had some success against the invading Sarmatians. Not long afterwards, he was forced into retirement, and his father was executed under obscure circumstances. Theodosius soon regained his position following a series of intrigues and executions ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Federico Commandino
Federico Commandino (1509 – 5 September 1575) was an Italian humanist and mathematician. Born in Urbino, he studied at Padua and at Ferrara, where he received his doctorate in medicine. He was most famous for his central role as translator of works of ancient mathematicians. In this, his sources were primarily written in Greek and secondarily in Arabic, while his translations were primarily in Latin and secondarily in Italian. He was responsible for the publication of many treatises of Archimedes. He also translated the works of Aristarchus of Samos (''On the sizes and distances of the Sun and the Moon''), Pappus of Alexandria (''Mathematical collection''), Hero of Alexandria (''Pneumatics''), Ptolemy of Alexandria (''Planisphere'' and ''Analemma''), Apollonius of Perga (''Conics'') and Euclid of Alexandria (''Elements''). Among his pupils was Guidobaldo del Monte and Bernardino Baldi. Commandino maintained a correspondence with the astronomer Francesco Maurolico. The proposit ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Scholia
Scholia (singular scholium or scholion, from grc, σχόλιον, "comment, interpretation") are grammatical, critical, or explanatory comments – original or copied from prior commentaries – which are inserted in the margin of the manuscript of ancient authors, as glosses. One who writes scholia is a scholiast. The earliest attested use of the word dates to the 1st century BC. History Ancient scholia are important sources of information about many aspects of the ancient world, especially ancient literary history. The earliest scholia, usually anonymous, date to the 5th or 4th century BC (such as the ''scholia minora'' to the ''Iliad''). The practice of compiling scholia continued to late Byzantine times, outstanding examples being Archbishop Eustathius' massive commentaries to Homer in the 12th century and the ''scholia recentiora'' of Thomas Magister, Demetrius Triclinius and Manuel Moschopoulos in the 14th. Scholia were altered by successive copyists an ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Euclid's Elements
The ''Elements'' ( grc, Στοιχεῖα ''Stoikheîa'') is a mathematical treatise consisting of 13 books attributed to the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt 300 BC. It is a collection of definitions, postulates, propositions (theorems and constructions), and mathematical proofs of the propositions. The books cover plane and solid Euclidean geometry, elementary number theory, and incommensurable lines. ''Elements'' is the oldest extant large-scale deductive treatment of mathematics. It has proven instrumental in the development of logic and modern science, and its logical rigor was not surpassed until the 19th century. Euclid's ''Elements'' has been referred to as the most successful and influential textbook ever written. It was one of the very earliest mathematical works to be printed after the invention of the printing press and has been estimated to be second only to the Bible in the number of editions published since the first printing i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Euclid
Euclid (; grc-gre, Wikt:Εὐκλείδης, Εὐκλείδης; BC) was an ancient Greek mathematician active as a geometer and logician. Considered the "father of geometry", he is chiefly known for the ''Euclid's Elements, Elements'' treatise, which established the foundations of geometry that largely dominated the field until the early 19th century. His system, now referred to as Euclidean geometry, involved new innovations in combination with a synthesis of theories from earlier Greek mathematicians, including Eudoxus of Cnidus, Hippocrates of Chios, Thales and Theaetetus (mathematician), Theaetetus. With Archimedes and Apollonius of Perga, Euclid is generally considered among the greatest mathematicians of antiquity, and one of the most influential in the history of mathematics. Very little is known of Euclid's life, and most information comes from the philosophers Proclus and Pappus of Alexandria many centuries later. Until the early Renaissance he was often mistaken f ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Diodorus Of Alexandria
Diodorus of Alexandria or Diodorus Alexandrinus was a gnomonicist, astronomer and a pupil of Posidonius. Writings He wrote the first discourse on the principles of the sundial, known as ''Analemma''. a commentary on this having later been written by Pappus of Alexandria, that is no longer extant. A small number of sentences having survived the centuries and attributed to him are known; these comment on: the differences between astronomy and natural science, the word meanings for cosmos and star, the nature of stars and the Milky Way. He was known to Eudoros. A few surviving passages might come from a commentary on Aratus. In his dealings with astronomy he was known to Marinus in his commentary on Euclid's ''Data'' containing quotes of Diodorus's opinions on the meaning of a term. See also *Alexandria *Analemma *Euclid *History of sundials A sundial is a device that indicates time by using a light spot or shadow cast by the position of the Sun on a reference scale. As the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Analemma
In astronomy, an analemma (; ) is a diagram showing the position of the Sun in the sky as seen from a fixed location on Earth at the same mean solar time, as that position varies over the course of a year. The diagram will resemble a figure eight. Globes of Earth often display an analemma as a two-dimensional figure of equation of time vs. declination of the Sun. The north–south component of the analemma results from the change in the Sun's declination due to the tilt of Earth's axis of rotation. The east–west component results from the nonuniform rate of change of the Sun's right ascension, governed by combined effects of Earth's axial tilt and orbital eccentricity. One can photograph an analemma by keeping a camera at a fixed location and orientation and taking multiple exposures throughout the year, always at the same time of day (disregarding daylight saving time, if applicable). Diagrams of analemmas frequently carry marks that show the position of the Sun at variou ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ecumene
The ecumene ( US spelling) or oecumene ( UK spelling; grc-gre, οἰκουμένη, oikouménē, inhabited) is an ancient Greek term for the known, the inhabited, or the habitable world. In Greek antiquity, it referred to the portions of the world known to Hellenic geographers, subdivided into three continents (Africa, Europe, and Asia). Under the Roman Empire, it came to refer to civilization itself, as well as the secular and religious imperial administration. In present usage, it is most often used in the context of "ecumenical" and describes the Christian Church as a unified whole, or the unified modern world civilization. It is also used in cartography to describe a type of world map (''mappa mundi'') used in late antiquity and the Middle Ages. Etymology The Greek term cited above is the feminine present middle participle of the verb (, '(I) inhabit') and is a clipped form of (, 'inhabited world').Oxford English Dictionary. "œcumene, ''n''." Greece Ancient Greek an ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Chorography
Chorography (from χῶρος ''khōros'', "place" and γράφειν ''graphein'', "to write") is the art of describing or mapping a region or district, and by extension such a description or map. This term derives from the writings of the ancient geographer Pomponius Mela and Ptolemy, where it meant the geographical description of regions. However, its resonances of meaning have varied at different times. Richard Helgerson states that "chorography defines itself by opposition to chronicle. It is the genre devoted to place, and chronicle is the genre devoted to time". Darrell Rohl prefers a broad definition of "the representation of space or place". Ptolemy's definition In his text of the ''Geographia'' (2nd century CE), Ptolemy defined geography as the study of the entire world, but chorography as the study of its smaller parts—provinces, regions, cities, or ports. Its goal was "an impression of a part, as when one makes an image of just an ear or an eye"; and it dealt w ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pappus - Mathematicae Collectiones, 1660 - 846395
Pappus may refer to: * Pappus (botany), a structure within certain flowers * ''Pappus'' (bug), a genus of insects in the tribe Mirini * Pappus of Alexandria, Greek mathematician ** Pappus's hexagon theorem, often just called 'Pappus's theorem', a theorem named for Pappus of Alexandria ** Pappus's centroid theorem, another theorem named for Pappus of Alexandria ** Pappus configuration, a geometric configuration related to 'Pappus's theorem' ** Pappus graph, a graph Graph may refer to: Mathematics *Graph (discrete mathematics), a structure made of vertices and edges **Graph theory, the study of such graphs and their properties *Graph (topology), a topological space resembling a graph in the sense of discre ... related to the pappus configuration See also * Papus (other) {{disambiguation ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nabonassar
Nabû-nāṣir was the king of Babylon from 747 to 734 BC. He deposed a foreign Chaldean usurper named Nabu-shuma-ishkun, bringing native rule back to Babylon after twenty-three years of Chaldean rule. His reign saw the beginning of a new era characterized by the systematic maintenance of chronologically precise historical records. Both the Babylonian ChronicleTablet BM 92502 The ''Chronicle on the Reigns from Nabû-Nasir to Šamaš-šuma-ukin'' (ABC 1) lines 1 to 12. and the Ptolemaic Canon begin with his accession to the throne. He was contemporary with the Assyrian kings Aššur-nirarī V (755–745 BC) and Tiglath-Pileser III, the latter under whom he became a vassal, and the Elamite kings Humban-Tahrah I (reigned until 743 BC) and Humban-Nikaš I (742–717 BC). Attestations and possible vituperative chronicle Nothing is known of his provenance or origin, although it appears he was a native Mesopotamian. His three predecessors were from the migrant Chaldean tribes set ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
