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Navalia
Navalia is a town (''polis'' or ''oppidum'') that was mentioned by Claudius Ptolemaeus in his ''Geographia''. The town has recently been associated with Essen. The name translates from Latin as "dock" or "wharf", but this may be coincidental. Though Ptolemy provides coordinates, it is unknown which prime meridian he used. Moreover the coordinates provided have been polluted by mistakes by copyist A copyist is a person who makes duplications of the same thing. The modern use of the term is mainly confined to music copyists, who are employed by the music industry to produce neat copies from a composer or arranger's manuscript. However, the ...s. The exact locations of the places mentioned remained unsure until recently. References {{Authority control Roman sites in Germany ...
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Essen
Essen () is the central and, after Dortmund, second-largest city of the Ruhr, the largest urban area in Germany. Its population of makes it the fourth-largest city of North Rhine-Westphalia after Cologne, Düsseldorf and Dortmund, as well as the List of cities in Germany by population, tenth-largest city of Germany. Essen lies in the larger Rhine-Ruhr metropolitan region, List of EU metropolitan regions by GDP#2021 ranking of top 4 German metropolitan regions, second largest by GDP in the EU, and is part of the cultural area of Rhineland. Because of its central location in the Ruhr, Essen is often regarded as the Ruhr's "secret capital". Two rivers flow through the city: the Emscher in the north, and in the south the Ruhr (river), Ruhr River, which is dammed in Essen to form the and reservoirs. The central and northern boroughs of Essen historically belong to the Low German Westphalian dialects area, and the south of the city to the Low Franconian Bergish dialects, Bergish ar ...
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Claudius Ptolemaeus
Claudius Ptolemy (; , ; ; – 160s/170s AD) was a Greco-Roman mathematician, astronomer, astrologer, geographer, and music theorist who wrote about a dozen scientific treatises, three of which were important to later Byzantine, Islamic, and Western European science. The first was his astronomical treatise now known as the ''Almagest'', originally entitled ' (, ', ). The second is the ''Geography'', which is a thorough discussion on maps and the geographic knowledge of the Greco-Roman world. The third is the astrological treatise in which he attempted to adapt horoscopic astrology to the Aristotelian natural philosophy of his day. This is sometimes known as the ' (, 'On the Effects') but more commonly known as the ' (from the Koine Greek meaning 'four books'; ). The Catholic Church promoted his work, which included the only mathematically sound geocentric model of the Solar System, and unlike most Greek mathematicians, Ptolemy's writings (foremost the ''Almagest'') never c ...
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Geography (Ptolemy)
The ''Geography'' (, ,  "Geographical Guidance"), also known by its Latin names as the ' and the ', is a gazetteer, an atlas (book), atlas, and a treatise on cartography, compiling the geographical knowledge of the 2nd-century Roman Empire. Originally written by Claudius Ptolemy in Ancient Greek, Greek at Alexandria around 150 AD, the work was a revision of a now-lost atlas by Marinus of Tyre using additional Roman and Parthian Empire, Persian gazetteers and new principles. Its translation – Al-Khwarizmi#Geography, Kitab Surat al-Ard – into Classical Arabic, Arabic by Al-Khwarizmi, Al-Khwarismi in the 9th century was highly influential on the geographical knowledge and cartographic traditions of the Geography and cartography in medieval Islam, Islamic world. Alongside the works of Islamic scholars – and the commentary containing revised and more accurate data by Alfraganus – Ptolemy's work was subsequently highly influential on Middle Ages, Medieval and Renaissanc ...
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Coordinate
In geometry, a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine and standardize the position of the points or other geometric elements on a manifold such as Euclidean space. The coordinates are not interchangeable; they are commonly distinguished by their position in an ordered tuple, or by a label, such as in "the ''x''-coordinate". The coordinates are taken to be real numbers in elementary mathematics, but may be complex numbers or elements of a more abstract system such as a commutative ring. The use of a coordinate system allows problems in geometry to be translated into problems about numbers and ''vice versa''; this is the basis of analytic geometry. Common coordinate systems Number line The simplest example of a coordinate system is the identification of points on a line with real numbers using the '' number line''. In this system, an arbitrary point ''O'' (the ''origin'') is chosen on a given line. The coordinate o ...
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Prime Meridian
A prime meridian is an arbitrarily chosen meridian (geography), meridian (a line of longitude) in a geographic coordinate system at which longitude is defined to be 0°. On a spheroid, a prime meridian and its anti-meridian (the 180th meridian in a degree (angle), 360°-system) form a great ellipse. This divides the body (e.g. Earth) into hemispheres of Earth, two hemispheres: the Eastern Hemisphere and the Western Hemisphere (for an east-west notational system). For Earth's prime meridian, various conventions have been used or advocated in different regions throughout history. Earth's current international standard prime meridian is the IERS Reference Meridian. It is derived, but differs slightly, from the Prime meridian (Greenwich), Greenwich Meridian, the previous standard. Longitudes for the Earth and Moon are measured from their prime meridian (at 0°) to 180° east and west. For all other Solar System bodies, longitude is measured from 0° (their prime meridian) to 360� ...
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Copyist
A copyist is a person who makes duplications of the same thing. The modern use of the term is mainly confined to music copyists, who are employed by the music industry to produce neat copies from a composer or arranger's manuscript. However, the term is sometimes used for artists who make copies of other artists' paintings. Music copyists Until the 1990s, most copyists worked by hand to write out scores and individual instrumental parts neatly, using a calligraphy pen, staff paper, and often a ruler. Producing parts for an entire orchestra from a full score was a huge task. In the 1990s, copyists began using scorewriters – computer programs which are the music notation equivalent of a word processor. (Such programs include Sibelius (scorewriter), Sibelius, Finale (scorewriter), Finale, MuseScore, LilyPond, and Comparison of scorewriters, many others). Scorewriters allow the composer or songwriter to enter the melodies, rhythms and lyrics to their compositions into the computer ...
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