Snellius' Survey
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Snellius' Survey
Willebrord Snellius (born Willebrord Snel van Royen) (13 June 158030 October 1626) was a Dutch astronomer and mathematician, commonly known as Snell. His name is usually associated with the law of refraction of light known as Snell's law. The lunar crater Snellius is named after Willebrord Snellius. The Royal Netherlands Navy has named three survey ships after Snellius, including a currently-serving vessel. Biography Willebrord Snellius was born in Leiden, Netherlands. In 1613 he succeeded his father, Rudolph Snel van Royen (1546–1613) as professor of mathematics at the University of Leiden. Surveying In 1615, Snellius, after the work of Eratosthenes in Ptolemaic Egypt in the 3rd century BC, probably was the first to use triangulation to do a large-scale arc measurement for determining the circumference of the earth. He was helped in his measurements by two of his students, the Austrian barons Erasmus and Casparus Sterrenberg. In several cities he also received ...
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Leiden
Leiden ( ; ; in English language, English and Archaism, archaic Dutch language, Dutch also Leyden) is a List of cities in the Netherlands by province, city and List of municipalities of the Netherlands, municipality in the Provinces of the Netherlands, province of South Holland, Netherlands. The municipality of Leiden has a population of 127,046 (31 January 2023), but the city forms one densely connected agglomeration with its suburbs Oegstgeest, Leiderdorp, Voorschoten and Zoeterwoude with 215,602 inhabitants. The Statistics Netherlands, Netherlands Central Bureau of Statistics (CBS) further includes Katwijk in the agglomeration which makes the total population of the Leiden urban agglomeration 282,207 and in the larger Leiden urban area also Teylingen, Noordwijk, and Noordwijkerhout are included with in total 365,913 inhabitants. Leiden is located on the Oude Rijn (Utrecht and South Holland), Oude Rijn, at a distance of some from The Hague to its south and some from Amsterdam ...
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Mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematical model, models, and mathematics#Calculus and analysis, change. History One of the earliest known mathematicians was Thales of Miletus (); he has been hailed as the first true mathematician and the first known individual to whom a mathematical discovery has been attributed. He is credited with the first use of deductive reasoning applied to geometry, by deriving four corollaries to Thales's theorem. The number of known mathematicians grew when Pythagoras of Samos () established the Pythagorean school, whose doctrine it was that mathematics ruled the universe and whose motto was "All is number". It was the Pythagoreans who coined the term "mathematics", and with whom the study of mathematics for its own sake begins. The first woman math ...
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Triangulation (surveying)
In surveying, triangulation is the process of determining the location of a point by measuring only angles to it from known points at either end of a fixed baseline by using trigonometry, rather than measuring distances to the point directly as in trilateration. The point can then be fixed as the third point of a triangle with one known side and two known angles. Triangulation can also refer to the accurate surveying of systems of very large triangles, called triangulation networks. This followed from the work of Willebrord Snellius, Willebrord Snell in 1615–17, who showed how a point could be located from the angles subtended from ''three'' known points, but measured at the new unknown point rather than the previously fixed points, a problem called Position resection and intersection, resectioning. Surveying error is minimized if a mesh of triangles at the largest appropriate scale is established first. Points inside the triangles can all then be accurately located with refere ...
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Ptolemaic Kingdom
The Ptolemaic Kingdom (; , ) or Ptolemaic Empire was an ancient Greek polity based in Ancient Egypt, Egypt during the Hellenistic period. It was founded in 305 BC by the Ancient Macedonians, Macedonian Greek general Ptolemy I Soter, a Diadochi, companion of Alexander the Great, and ruled by the Ptolemaic dynasty until the death of Cleopatra VII in 30 BC. Reigning for nearly three centuries, the Ptolemies were the longest and final Dynasties of ancient Egypt, dynasty of ancient Egypt, heralding a distinct era of Hellenistic religion, religious and cultural syncretism between Greek and Egyptian culture. Alexander the Great conquered Thirty-first Dynasty of Egypt, Persian-controlled Egypt in 332 BC during Wars of Alexander the Great, his campaigns against the Achaemenid Empire. Death of Alexander the Great, Alexander's death in 323 BC was followed by the Empire of Alexander the Great, rapid unraveling of the Macedonian Empire amid competing claims by the ''diadochi'', his closest fr ...
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Eratosthenes
Eratosthenes of Cyrene (; ;  – ) was an Ancient Greek polymath: a Greek mathematics, mathematician, geographer, poet, astronomer, and music theory, music theorist. He was a man of learning, becoming the chief librarian at the Library of Alexandria. His work is comparable to the study of geography, and he introduced some of the terminology, even coining the terms geography and geographer. He is best known for being the first person known to calculate the Earth's circumference, which he did by using the extensive survey results he could access in his role at the Library. His calculation was remarkably accurate (his error margin turned out to be less than 1%). He was the first to calculate Earth's axial tilt, which similarly proved to have remarkable accuracy. He created the Eratosthenes' Map of the World, first global projection of the world, incorporating Circle of latitude, parallels and Longitude, meridians based on the available geographic knowledge of his era. Eratosth ...
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Museum Boerhaave - Snellius Quadrant
A museum is an institution dedicated to displaying or preserving culturally or scientifically significant objects. Many museums have exhibitions of these objects on public display, and some have private collections that are used by researchers and specialists. Museums host a much wider range of objects than a library, and they usually focus on a specific theme, such as the arts, science, natural history or local history. Public museums that host exhibitions and interactive demonstrations are often tourist attractions, and many draw large numbers of visitors from outside of their host country, with the most visited museums in the world attracting millions of visitors annually. Since the establishment of the earliest known museum in ancient times, museums have been associated with academia and the preservation of rare items. Museums originated as private collections of interesting items, and not until much later did the emphasis on educating the public take root. Etymology The ...
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Netherlands
, Terminology of the Low Countries, informally Holland, is a country in Northwestern Europe, with Caribbean Netherlands, overseas territories in the Caribbean. It is the largest of the four constituent countries of the Kingdom of the Netherlands. The Netherlands consists of Provinces of the Netherlands, twelve provinces; it borders Germany to the east and Belgium to the south, with a North Sea coastline to the north and west. It shares Maritime boundary, maritime borders with the United Kingdom, Germany, and Belgium. The official language is Dutch language, Dutch, with West Frisian language, West Frisian as a secondary official language in the province of Friesland. Dutch, English_language, English, and Papiamento are official in the Caribbean Netherlands, Caribbean territories. The people who are from the Netherlands is often referred to as Dutch people, Dutch Ethnicity, Ethnicity group, not to be confused by the language. ''Netherlands'' literally means "lower countries" i ...
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HNLMS Snellius (A802)
HNLMS ''Snellius'' (A802) is a Hydrography, hydrographic Survey ship, survey vessel of the Royal Netherlands Navy. The ''Snellius'' has a sister ship, . ''Snellius'' is named after the mathematician Willebrord Snellius who contributed significantly to hydrography. Construction and service The ship was completed in the Netherlands from a Romanian-built hull. The ships have different tasks: surveying the sea, operating as guard ship, representing the Netherlands at home and abroad, assisting maritime scientific surveys by the Dutch Ministry of Defence, Ministry of Defence and assisting rescue operations. The current ''Snellius'' is the third hydrographic vessel with this name. References

{{DEFAULTSORT:Snellius Snellius-class hydrographic survey vessels Survey ships Auxiliary ships of the Royal Netherlands Navy 2003 ships ...
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Snellius (crater)
Snellius is a Lunar craters, lunar impact crater located near the southeast limb of the Moon. The rim of Snellius is heavily worn and eroded, with overlapping craterlets. The floor is somewhat irregular and uneven. The western rim marks the start of the Vallis Snellius, one of the longest valleys on the Moon. It continues nearly 500 kilometers to the northwest to near the edge of Mare Nectaris. Its origin is most likely associated with the formation of the lunar mare. To the northeast is the large crater Petavius (crater), Petavius. South of Snellius is the crater Stevinus (crater), Stevinus. Just to the northwest is Snellius A, a crater with a notable ray system that overlaps the southwest reaches of Mare Fecunditatis to the north. It is named after Dutch astronomer, mathematician and physicist, Willebrord Snellius. Satellite craters By convention these features are identified on lunar maps by placing the letter on the side of the crater midpoint that is closest to Snelli ...
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Lunar Crater
Lunar craters are impact craters on Earth's Moon. The Moon's surface has many craters, all of which were formed by impacts. The International Astronomical Union currently recognizes 9,137 craters, of which 1,675 have been dated. History The word ''crater'' was adopted from the Greek word for "vessel" (, a Greek vessel used to mix wine and water). Galileo built his refracting telescope, first telescope in late 1609, and turned it to the Moon for the first time on November 30, 1609. He discovered that, contrary to general opinion at that time, the Moon was not a perfect sphere, but had both mountains and cup-like depressions. These were named craters by Johann Hieronymus Schröter (1791), extending its previous use with volcanoes. Robert Hooke in ''Micrographia'' (1665) proposed two hypotheses for lunar crater formation: one, that the craters were caused by projectile bombardment from space, the other, that they were the products of subterranean lunar volcanism. Scientific opin ...
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Mathematical Instrument
A mathematical instrument is a tool or device used in the study or practice of mathematics. In geometry, construction of various proofs was done using only a compass and straightedge; arguments in these proofs relied only on idealized properties of these instruments and literal construction was regarded as only an approximation. In applied mathematics, mathematical instruments were used for measuring angles and distances, in astronomy, navigation, surveying and in the measurement of time.Gerard L'Estrange Turner ''Scientific Instruments, 1500-1900: An Introduction'' ( University of California Press, 1998) page 8 Overview Instruments such as the astrolabe, the quadrant, and others were used to measure and accurately record the relative positions and movements of planets and other celestial objects. The sextant and other related instruments were essential for navigation at sea. Most instruments are used within the field of geometry, including the ruler, dividers, protracto ...
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Witelo
Vitello (; ; – 1280/1314) was a Polish friar, theologian, natural philosopher and an important figure in the history of philosophy in Poland. Name Vitello's name varies with some sources. In earlier publications he was quoted as Erazmus Ciolek Witelo, Erazm Ciołek, Vitellio and Vitulon. Today, he is usually referred to by his Latin name Vitello Thuringopolonis, often shortened to Vitello. Life Vitello's exact birth-name and birthplace are uncertain. He was most likely born around 1230 in Silesia, in the vicinity of Legnica. His mother came from a Polish knightly house, while his father was a German settler from Thuringia. He called himself, in Latin, "''Thuringorum et Polonorum filius''" — "a son of Thuringians and Poles." He studied at Padua University about 1260, then went on to Viterbo. He became friends with William of Moerbeke, the translator of Aristotle from Greek language into Latin. Vitello's major surviving work on optics, ''Perspectiva'', complete ...
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