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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 A prime meridian is an arbitrary meridian (a line of longitude) in a geographic coordinate system at which longitude is defined to be 0°. Together, a prime meridian and its anti-meridian (the 180th meridian in a 360°-system) form a great ... he used. Moreover the coordinates provided have been polluted by mistakes by copyists. The exact locations of the places mentioned remained unsure until recently. References {{Authority control Roman sites in Germany ...
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Essen
Essen (; Latin: ''Assindia'') 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 ninth-largest city of Germany. Essen lies in the larger Rhine-Ruhr Metropolitan Region 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: in the north, the Emscher, the Ruhr area's central river, and in the south, the Ruhr River, which is dammed in Essen to form the Lake Baldeney (''Baldeneysee'') and Lake Kettwig (''Kettwiger See'') reservoirs. The central and northern boroughs of Essen historically belong to the Low German ( Westphalian) language area, and the south of the city to the Low Franconian ( Bergish) area (closely related to Dutch). Essen is seat to several of the region's ...
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Claudius Ptolemaeus
Claudius Ptolemy (; grc-gre, Πτολεμαῖος, ; la, Claudius Ptolemaeus; AD) was a mathematician, astronomer, astrologer, geographer, and music theorist, who wrote about a dozen scientific treatises, three of which were of importance to later Byzantine, Islamic, and Western European science. The first is the astronomical treatise now known as the ''Almagest'', although it was originally entitled the ''Mathēmatikē Syntaxis'' or ''Mathematical Treatise'', and later known as ''The Greatest Treatise''. 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 ''Apotelesmatika'' (lit. "On the Effects") but more commonly known as the '' Tetrábiblos'', from the Koine Greek meaning "Four Books", or by its Latin equivalent ''Quadriparti ...
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Geography (Ptolemy)
The ''Geography'' ( grc-gre, Γεωγραφικὴ Ὑφήγησις, ''Geōgraphikḕ Hyphḗgēsis'',  "Geographical Guidance"), also known by its Latin names as the ' and the ', is a gazetteer, an atlas, and a treatise on cartography, compiling the geographical knowledge of the 2nd-century Roman Empire. Originally written by Claudius Ptolemy in Greek at Alexandria around AD 150, the work was a revision of a now-lost atlas by Marinus of Tyre using additional Roman and Persian gazetteers and new principles. Its translation into Arabic in the 9th century and Latin in 1406 was highly influential on the geographical knowledge and cartographic traditions of the medieval Caliphate and Renaissance Europe. Manuscripts Versions of Ptolemy's work in antiquity were probably proper atlases with attached maps, although some scholars believe that the references to maps in the text were later additions. No Greek manuscript of the ''Geography'' survives from earlier than the 13th ce ...
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Coordinate
In geometry, a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space. The order of the coordinates is significant, and they are sometimes identified by their position in an ordered tuple and sometimes by a letter, 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 of a po ...
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Prime Meridian
A prime meridian is an arbitrary meridian (a line of longitude) in a geographic coordinate system at which longitude is defined to be 0°. Together, a prime meridian and its anti-meridian (the 180th meridian in a 360°-system) form a great circle. This great circle divides a spheroid, like the Earth, into 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. The Earth's current international standard prime meridian is the IERS Reference Meridian. It is derived, but differs slightly, from the Greenwich Meridian, the previous standard. A prime meridian for a planetary body not tidally locked (or at least not in synchronous rotation) is entirely arbitrary, unlike an equator, which is determined by the axis of rotation. However, for celestial objects that are tidally locked (more specifically, synchronous), th ...
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Copyist
A copyist is a person that makes duplications of the same thing. The term is sometimes used for artists who make copies of other artists' paintings. However, the modern use of the term is almost entirely confined to music copyists, who are employed by the music industry to produce neat copies from a composer or arranger's manuscript. Music copyists Until the 1990s, most copyists worked by hand to write out scores and individual instrumental parts neatly, using a calligraphy pen, manuscript 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'', '' Finale'', '' MuseScore'' or ''GNU LilyPond''). Scorewriters allow the composer or songwriter to "enter" the melodies, rhythms and lyrics to their compositions into the computer using a mouse or by playing the notes on a MIDI-equi ...
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