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Laplace's Tidal Equations
The theory of tides is the application of continuum mechanics to interpret and predict the tidal deformations of planetary and satellite bodies and their atmospheres and oceans (especially Earth's oceans) under the gravitational loading of another astronomical body or bodies (especially the Moon and Sun). History Australian Aboriginal astronomy The Yolngu people of northeastern Arnhem Land in the Northern Territory of Australia identified a link between the Moon and the tides, which they mythically attributed to the Moon filling with water and emptying out again. Classical era The tides received relatively little attention in the civilizations around the Mediterranean Sea, as the tides there are relatively small, and the areas that experience tides do so unreliably. A number of theories were advanced, however, from comparing the movements to breathing or blood flow to theories involving whirlpools or river cycles. A similar "breathing earth" idea was considered by some A ...
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Bay Of Fundy
The Bay of Fundy (french: Baie de Fundy) is a bay between the Canadian provinces of New Brunswick and Nova Scotia, with a small portion touching the U.S. state of Maine. It is an arm of the Gulf of Maine. Its extremely high tidal range is the highest in the world. The name is likely a corruption of the French word , meaning 'split'. Hydrology Tides The tidal range in the Bay of Fundy is about ; the average tidal range worldwide is only . Some tides are higher than others, depending on the position of the moon, the sun, and atmospheric conditions. Tides are semidiurnal, meaning they have two highs and two lows each day, with about six hours and 13 minutes between each high and low tide. Because of tidal resonance in the funnel-shaped bay, the tides that flow through the channel are very powerful. In one 12-hour tidal cycle, about 100 billion tons (110 billion short tons) of water flows in and out of the bay, which is twice as much as the combined total flow of all the rive ...
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De Providentia
''De Providentia'' (''On Providence'') is a short essay in the form of a dialogue in six brief sections, written by the Latin philosopher Seneca (died AD 65) in the last years of his life. He chose the dialogue form (as in the well-known Plato's works) to deal with the problem of the co-existence of the Stoic design of providence with the evil in the world—the so-called " problem of evil." Dating and title The work cannot be precisely dated, but since it is addressed to Lucilius, who is the addressee of some of Seneca's final works including his '' Letters'', and since the essay has similarities to letters 106, 108, and 109 then the work is usually considered a late one dating to around 64 AD. The full title of the work is ''Quare bonis viris multa mala accidant, cum sit providentia'' ("Why do misfortunes happen to good men, if providence exists"). This longer title reflects the true theme of the essay which is not so much concerned with providence but with theodicy and ...
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The Reckoning Of Time
''The Reckoning of Time'' ( la, De temporum ratione) is an Anglo-Saxon era treatise written in Medieval Latin by the Northumbrian monk Bede in 725. The treatise includes an introduction to the traditional ancient and medieval view of the cosmos, including an explanation of how the spherical Earth influenced the changing length of daylight, of how the seasonal motion of the Sun and Moon influenced the changing appearance of the new moon at evening twilight, and a quantitative relation between the changes of the tides at a given place and the daily motion of the Moon. ''The Reckoning of Time'' describes the principal ancient calendars, including those of the Hebrews, the Egyptians, the Romans, the Greeks, and the Anglo-Saxons.Wallis (2004:41-54;281–287 The focus of ' was calculation of the date of Easter, for which Bede described the method developed by Dionysius Exiguus. ' also gave instructions for calculating the date of the Easter full moon, for calculating the motion of ...
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Venerable Bede
Bede ( ; ang, Bǣda , ; 672/326 May 735), also known as Saint Bede, The Venerable Bede, and Bede the Venerable ( la, Beda Venerabilis), was an English monk at the monastery of St Peter and its companion monastery of St Paul in the Kingdom of Northumbria of the Angles (contemporarily Monkwearmouth–Jarrow Abbey in Tyne and Wear, England). Born on lands belonging to the twin monastery of Monkwearmouth–Jarrow in present-day Tyne and Wear, Bede was sent to Monkwearmouth at the age of seven and later joined Abbot Ceolfrith at Jarrow. Both of them survived a plague that struck in 686 and killed a majority of the population there. While Bede spent most of his life in the monastery, he travelled to several abbeys and monasteries across the British Isles, even visiting the archbishop of York and King Ceolwulf of Northumbria. He was an author, teacher (Alcuin was a student of one of his pupils), and scholar, and his most famous work, ''Ecclesiastical History of the English People ...
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Apollonius Of Tyana
Apollonius of Tyana ( grc, Ἀπολλώνιος ὁ Τυανεύς; c. 3 BC – c. 97 AD) was a Greek Neopythagorean philosopher from the town of Tyana in the Roman province of Cappadocia in Anatolia. He is the subject of ''Life of Apollonius of Tyana'', written by Philostratus over a century after his death. Life dates Apollonius was born into a respected and wealthy Greek household. His primary biographer, Philostratus the Elder (circa 170c. 247), places him circa 3 BCc. 97 AD, however, the Roman historian Cassius Dio (c. 155 – c. 235 AD) writes that Apollonius was in his 40s or 50s in the 90s AD, from which the scholar, Maria Dzielska gives a birth year of about 40 AD. Sources The earliest and by far the most detailed source is the ''Life of Apollonius of Tyana'', a lengthy, novelistic biography written by the sophist Philostratus at the request of empress Julia Domna. She died in 217 AD and he completed it after her death, probabl ...
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Life Of Apollonius Of Tyana
''Life of Apollonius of Tyana'' ( grc-gre, Τὰ ἐς τὸν Τυανέα Ἀπολλώνιον), also known by its Latin title , is a text in eight books written in Ancient Greece by Philostratus (c. 170 – c. 245 AD). It tells the story of Apollonius of Tyana (c. 15 – c. 100 AD), a Pythagorean philosopher and teacher. Contents The book extensively describes the alleged travels of Apollonius to Italy, Hispania, Nubia, Mesopotamia and India. Some scholars view it as fiction, and contend that Apollonius probably never reached any of these countries, but spent his entire life in the East of the Roman Empire. According to Philostratus, his book relies on a multiplicity of sources: * A book on the youth of Apollonius, written by Maximus of Aegae * Memoirs written by a disciple of Apollonius, Damis. * The "Memorabilia of Apollonius of Tyana, magician and philosopher", written by a Moeragenes, although Philostratus considers that account rather unreliable. * Local knowledge fro ...
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Philostratus
Philostratus or Lucius Flavius Philostratus (; grc-gre, Φιλόστρατος ; c. 170 – 247/250 AD), called "the Athenian", was a Greek sophist of the Roman imperial period. His father was a minor sophist of the same name. He was born probably around 170, and is said by the ''Suda'' to have been living in the reign of emperor Philip the Arab (244–249). His death possibly occurred in Tyre c. 250 AD. Name and identity Some ambiguity surrounds his name. The name ''Flavius'' is given in ''The Lives of the Sophists'' and Tzetzes. Eunapius and Synesius call him a Lemnian; Photius a Tyrian; his letters refer to him as an Athenian. It is probable that he was born in Lemnos, studied and taught at Athens, and then settled in Rome (where he would naturally be called ''Atheniensis'') as a member of the learned circle with which empress Julia Domna surrounded herself. Works attributed to Philostratus Historians agree that Philostratus authored at least five works: ''Life of Apollo ...
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Aristotle
Aristotle (; grc-gre, Ἀριστοτέλης ''Aristotélēs'', ; 384–322 BC) was a Greek philosopher and polymath during the Classical period in Ancient Greece. Taught by Plato, he was the founder of the Peripatetic school of philosophy within the Lyceum and the wider Aristotelian tradition. His writings cover many subjects including physics, biology, zoology, metaphysics, logic, ethics, aesthetics, poetry, theatre, music, rhetoric, psychology, linguistics, economics, politics, meteorology, geology, and government. Aristotle provided a complex synthesis of the various philosophies existing prior to him. It was above all from his teachings that the West inherited its intellectual lexicon, as well as problems and methods of inquiry. As a result, his philosophy has exerted a unique influence on almost every form of knowledge in the West and it continues to be a subject of contemporary philosophical discussion. Little is known about his life. Aristotle was born in th ...
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Lucio Russo
Lucio Russo (born 22 November 1944) is an Italian physicist, mathematician and historian of science. Born in Venice, he teaches at the Mathematics Department of the University of Rome Tor Vergata. Among his main areas of interest are Gibbs measure of the Ising model, percolation theory, and finite Bernoulli distribution, Bernoulli schemes, within which he proved an approximate version of the classical Kolmogorov's zero–one law. In the history of science, he has reconstructed some contributions of the Hellenistic period, Hellenistic astronomer Hipparchus, through the analysis of his surviving works, and the proof of heliocentrism attributed by Plutarch to Seleucus of Seleucia and studied the history of theories of tides, from the Hellenistic to modern age. Books ''The Forgotten Revolution'' In ''The Forgotten Revolution: How Science Was Born in 300 BC and Why It Had to Be Reborn'' (Italian: ''La rivoluzione dimenticata''), Russo promotes the belief that Hellenistic scien ...
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Heliocentrism
Heliocentrism (also known as the Heliocentric model) is the astronomical model in which the Earth and planets revolve around the Sun at the center of the universe. Historically, heliocentrism was opposed to geocentrism, which placed the Earth at the center. The notion that the Earth revolves around the Sun had been proposed as early as the third century BC by Aristarchus of Samos, who had been influenced by a concept presented by Philolaus of Croton (c. 470 – 385 BC). In the 5th century BC the Greek Philosophers Philolaus and Hicetas had the thought on different occasions that our Earth was spherical and revolving around a "mystical" central fire, and that this fire regulated the universe. In medieval Europe, however, Aristarchus' heliocentrism attracted little attention—possibly because of the loss of scientific works of the Hellenistic period. It was not until the sixteenth century that a mathematical model of a heliocentric system was presented by the Renaissance mathema ...
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Seleucus Of Seleucia
Seleucus of Seleucia ( el, Σέλευκος ''Seleukos''; born c. 190 BC; fl. c. 150 BC) was a Hellenistic astronomer and philosopher. Coming from Seleucia on the Tigris, Mesopotamia, the capital of the Seleucid Empire, or, alternatively, Seleukia on the Erythraean Sea, he is best known as a proponent of heliocentrism and for his theory of the origin of tides. Heliocentric theory Seleucus is known to have supported the heliocentric theory of Aristarchus of Samos, which stated that the Earth rotated around its own axis which in turn revolved around the Sun. According to Plutarch, Seleucus was the first to demonstrate the heliocentric system through reasoning, but it is not known what arguments he used. According to Bartel Leendert van der Waerden, Seleucus may have constructed his heliocentric theory by determining the constants of a geometric model and by developing methods to compute planetary positions using this model, as Nicolaus Copernicus later did in the 16th century. He ...
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Astrology
Astrology is a range of Divination, divinatory practices, recognized as pseudoscientific since the 18th century, that claim to discern information about human affairs and terrestrial events by studying the apparent positions of Celestial objects in astrology, celestial objects. Different cultures have employed forms of astrology since at least the 2nd millennium BCE, these practices having originated in Calendrical calculation, calendrical systems used to predict seasonal shifts and to interpret celestial cycles as signs of divine communications. Most, if not all, cultures have attached importance to what they observed in the sky, and some—such as the Hindu astrology, Hindus, Chinese astrology, Chinese, and the Maya civilization, Maya—developed elaborate systems for predicting terrestrial events from celestial observations. Western astrology, one of the oldest astrological systems still in use, can trace its roots to 19th–17th century BCE Mesopotamia, from where it spr ...
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