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Eutocius
Eutocius of Ascalon (; el, Εὐτόκιος ὁ Ἀσκαλωνίτης; 480s – 520s) was a Palestinian-Greek mathematician who wrote commentaries on several Archimedean treatises and on the Apollonian ''Conics''. Life and work Little is known about the life of Eutocius. He was born in Ascalon, then in Palestina Prima. He lived during the reign of Justinian. Eutocius became head the school of philosophy in Athens following Ammonius and he was succeeded in this position by Olympiodorus, possibly as early as 525. He traveled to the greatest scientific centers of his time, including Alexandria, to conduct research on Archimedes' manuscripts. He wrote commentaries on Apollonius and on Archimedes. The surviving works of Eutocius are: *A Commentary on the first four books of the ''Conics'' of Apollonius. *Commentarieson: **the ''Sphere and Cylinder'' of Archimedes. **the '' Quadrature of the Circle'' of Archimedes (''In Archimedis circuli dimensionem'' in Latin). **th ...
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Apollonius Of Perga
Apollonius of Perga ( grc-gre, Ἀπολλώνιος ὁ Περγαῖος, Apollṓnios ho Pergaîos; la, Apollonius Pergaeus; ) was an Ancient Greek geometer and astronomer known for his work on conic sections. Beginning from the contributions of Euclid and Archimedes on the topic, he brought them to the state prior to the invention of analytic geometry. His definitions of the terms ellipse, parabola, and hyperbola are the ones in use today. Gottfried Wilhelm Leibniz stated “He who understands Archimedes and Apollonius will admire less the achievements of the foremost men of later times.” Apollonius worked on numerous other topics, including astronomy. Most of this work has not survived, where exceptions are typically fragments referenced by other authors like Pappus of Alexandria. His hypothesis of eccentric orbits to explain the apparently aberrant motion of the planets, commonly believed until the Middle Ages, was superseded during the Renaissance. The Apollon ...
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Archimedes
Archimedes of Syracuse (;; ) was a Greek mathematician, physicist, engineer, astronomer, and inventor from the ancient city of Syracuse in Sicily. Although few details of his life are known, he is regarded as one of the leading scientists in classical antiquity. Considered the greatest mathematician of ancient history, and one of the greatest of all time,* * * * * * * * * * Archimedes anticipated modern calculus and analysis by applying the concept of the infinitely small and the method of exhaustion to derive and rigorously prove a range of geometrical theorems. These include the area of a circle, the surface area and volume of a sphere, the area of an ellipse, the area under a parabola, the volume of a segment of a paraboloid of revolution, the volume of a segment of a hyperboloid of revolution, and the area of a spiral. Heath, Thomas L. 1897. ''Works of Archimedes''. Archimedes' other mathematical achievements include deriving an approximation of pi, defining ...
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Ancient Greek Mathematicians
Greek mathematics refers to mathematics texts and ideas stemming from the Archaic through the Hellenistic and Roman periods, mostly extant from the 7th century BC to the 4th century AD, around the shores of the Eastern Mediterranean. Greek mathematicians lived in cities spread over the entire Eastern Mediterranean from Italy to North Africa but were united by Greek culture and the Greek language. The word "mathematics" itself derives from the grc, , máthēma , meaning "subject of instruction". The study of mathematics for its own sake and the use of generalized mathematical theories and proofs is an important difference between Greek mathematics and those of preceding civilizations. Origins of Greek mathematics The origin of Greek mathematics is not well documented. The earliest advanced civilizations in Greece and in Europe were the Minoan and later Mycenaean civilizations, both of which flourished during the 2nd millennium BCE. While these civilizations possessed writing an ...
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Anthemius Of Tralles
Anthemius of Tralles ( grc-gre, Ἀνθέμιος ὁ Τραλλιανός, Medieval Greek: , ''Anthémios o Trallianós'';  – 533  558) was a Greek from Tralles who worked as a geometer and architect in Constantinople, the capital of the Byzantine Empire. With Isidore of Miletus, he designed the Hagia Sophia for Justinian I. Life Anthemius was one of the five sons of Stephanus of Tralles, a physician. His brothers were Dioscorus, Alexander, Olympius, and Metrodorus. Dioscorus followed his father's profession in Tralles; Alexander did so in Rome and became one of the most celebrated medical men of his time; Olympius became a noted lawyer; and Metrodorus worked as a grammarian in Constantinople. Anthemius was said to have annoyed his neighbor Zeno in two ways: first, by engineering a miniature earthquake by sending steam through leather tubes he had fixed among the joists and flooring of Zeno's parlor while he was entertaining friends and, second, by sim ...
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6th-century Mathematicians
The 6th century is the period from 501 through 600 in line with the Julian calendar. In the West, the century marks the end of Classical Antiquity and the beginning of the Middle Ages. The collapse of the Western Roman Empire late in the previous century left Europe fractured into many small Germanic kingdoms competing fiercely for land and wealth. From the upheaval the Franks rose to prominence and carved out a sizeable domain covering much of modern France and Germany. Meanwhile, the surviving Eastern Roman Empire began to expand under Emperor Justinian, who recaptured North Africa from the Vandals and attempted fully to recover Italy as well, in the hope of reinstating Roman control over the lands once ruled by the Western Roman Empire. In its second Golden Age, the Sassanid Empire reached the peak of its power under Khosrau I in the 6th century.Roberts, J: "History of the World.". Penguin, 1994. The classical Gupta Empire of Northern India, largely overrun by the Huna, ended ...
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540 Deaths
54 may refer to: * 54 (number) * one of the years 54 BC, AD 54, 1954, 2054 * ''54'' (novel), a 2002 novel by Wu Ming * Studio 54, a New York City nightclub from 1977 until 1981 * ''54'' (film), a 1998 American drama film about the club * ''54'' (album), a 2010 album by Metropole Orkest * "Fifty Four", a song by Karma to Burn from the album '' Arch Stanton'', 2014 * 54th Division (other) * 54th Regiment of Foot (other) * 54th Infantry (other) {{number disambiguation ...
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480 Births
48 may refer to: * 48 (number) * one of the years 48 BC, AD 48, 1948, 2048 * ''48'' (novel) * 48'' (magazine) * "48", a song by Tyler, the Creator from the album ''Wolf'' * 48, a phone network brand of Three Ireland * "Forty Eight", a song by Karma to Burn from the album '' V'', 2011 See also * A48 (other) A48 may refer to : * A48 motorway (France), a road connecting the A43 and Grenoble * A48 road (Great Britain), a road connecting Gloucester, England and Carmarthen, Wales * Autovía A-48, a motorway under construction connecting Cadiz and Algeciras, ...
{{number disambiguation ...
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Constantinople
la, Constantinopolis ota, قسطنطينيه , alternate_name = Byzantion (earlier Greek name), Nova Roma ("New Rome"), Miklagard/Miklagarth (Old Norse), Tsargrad ( Slavic), Qustantiniya ( Arabic), Basileuousa ("Queen of Cities"), Megalopolis ("the Great City"), Πόλις ("the City"), Kostantiniyye or Konstantinopolis ( Turkish) , image = Byzantine Constantinople-en.png , alt = , caption = Map of Constantinople in the Byzantine period, corresponding to the modern-day Fatih district of Istanbul , map_type = Istanbul#Turkey Marmara#Turkey , map_alt = A map of Byzantine Istanbul. , map_size = 275 , map_caption = Constantinople was founded on the former site of the Greek colony of Byzantion, which today is known as Istanbul in Turkey. , coordinates = , location = Fatih, İstanbul, Turkey , region = Marmara Region , type = Imperial city , part_of = , length = , width ...
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Hagia Sophia
Hagia Sophia ( 'Holy Wisdom'; ; ; ), officially the Hagia Sophia Grand Mosque ( tr, Ayasofya-i Kebir Cami-i Şerifi), is a mosque and major cultural and historical site in Istanbul, Turkey. The cathedral was originally built as a Greek Orthodox church which lasted from 360 AD until the conquest of Constantinople by the Ottoman Empire in 1453. It served as a mosque until 1935, when it became a museum. In 2020, the site once again became a mosque. The current structure was built by the eastern Roman emperor Justinian I as the Christian cathedral of Constantinople for the state church of the Roman Empire between 532 and 537, and was designed by the Greek geometers Isidore of Miletus and Anthemius of Tralles. It was formally called the Church of the Holy Wisdom () and upon completion became the world's largest interior space and among the first to employ a fully pendentive dome. It is considered the epitome of Byzantine architecture and is said to have "changed the history of ...
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Almagest
The ''Almagest'' is a 2nd-century Greek-language mathematical and astronomical treatise on the apparent motions of the stars and planetary paths, written by Claudius Ptolemy ( ). One of the most influential scientific texts in history, it canonized a geocentric model of the Universe that was accepted for more than 1,200 years from its origin in Hellenistic Alexandria, in the medieval Byzantine and Islamic worlds, and in Western Europe through the Middle Ages and early Renaissance until Copernicus. It is also a key source of information about ancient Greek astronomy. Ptolemy set up a public inscription at Canopus, Egypt, in 147 or 148. N. T. Hamilton found that the version of Ptolemy's models set out in the ''Canopic Inscription'' was earlier than the version in the ''Almagest''. Hence the ''Almagest'' could not have been completed before about 150, a quarter-century after Ptolemy began observing. Names The name comes from Arabic ', with ' meaning "the", and ''magesti'' ...
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Latin Language
Latin (, or , ) is a classical language belonging to the Italic branch of the Indo-European languages. Latin was originally a dialect spoken in the lower Tiber area (then known as Latium) around present-day Rome, but through the power of the Roman Republic it became the dominant language in the Italian region and subsequently throughout the Roman Empire. Even after the fall of Western Rome, Latin remained the common language of international communication, science, scholarship and academia in Europe until well into the 18th century, when other regional vernaculars (including its own descendants, the Romance languages) supplanted it in common academic and political usage, and it eventually became a dead language in the modern linguistic definition. Latin is a highly inflected language, with three distinct genders (masculine, feminine, and neuter), six or seven noun cases (nominative, accusative, genitive, dative, ablative, and vocative), five declensions, four verb ...
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Measurement Of A Circle
''Measurement of a Circle'' or ''Dimension of the Circle'' (Greek: , ''Kuklou metrēsis'') is a treatise that consists of three propositions by Archimedes, ca. 250 BCE. The treatise is only a fraction of what was a longer work. Propositions Proposition one Proposition one states: The area of any circle is equal to a right-angled triangle in which one of the sides about the right angle is equal to the radius, and the other to the circumference of the circle. Any circle with a circumference ''c'' and a radius ''r'' is equal in area with a right triangle with the two legs being ''c'' and ''r''. This proposition is proved by the method of exhaustion. Proposition two Proposition two states: The area of a circle is to the square on its diameter as 11 to 14. This proposition could not have been placed by Archimedes, for it relies on the outcome of the third proposition. Proposition three Proposition three states: The ratio of the circumference of any circle to its diameter is greater ...
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