Křovák's Projection
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Křovák's Projection
Křovák's projection or simply Krovak is a conic projection invented in 1922 by Czech geodesist Josef Křovák. The projection is based on Bessel ellipsoid and it was calculated as the optimal projection of Czechoslovakia (in its interwar extent including Carpathian Ruthenia). It is still in use as national grids for civil state maps of the Czech Republic and Slovakia Slovakia, officially the Slovak Republic, is a landlocked country in Central Europe. It is bordered by Poland to the north, Ukraine to the east, Hungary to the south, Austria to the west, and the Czech Republic to the northwest. Slovakia's m .... The corresponding coordinate system is abbreviated S-JTSK (for ''Systém Jednotné trigonometrické sítě katastrální'', "the Unified cadastral trigonometric network System"), code 5514. The projection has been deliberately made so that for any point located in former Czechoslovakia, the X coordinate may be always bigger (in absolute value) than Y. This ...
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Conic Projection
In cartography, a map projection is any of a broad set of Transformation (function) , transformations employed to represent the curved two-dimensional Surface (mathematics), surface of a globe on a Plane (mathematics), plane. In a map projection, coordinates, often expressed as latitude and longitude, of locations from the surface of the globe are transformed to coordinates on a plane. Projection is a necessary step in creating a two-dimensional map and is one of the essential elements of cartography. All projections of a sphere on a plane necessarily distort the surface in some way. Depending on the purpose of the map, some distortions are acceptable and others are not; therefore, different map projections exist in order to preserve some properties of the sphere-like body at the expense of other properties. The study of map projections is primarily about the characterization of their distortions. There is no limit to the number of possible map projections. More generally, proje ...
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Josef Křovák
Josef may refer to *Josef (given name) *Josef (surname) * ''Josef'' (film), a 2011 Croatian war film *Musik Josef Musik Josef is a Japanese manufacturer of musical instruments. It was founded by Yukio Nakamura and is the only company in Japan specializing in producing oboes and Cor anglais, cors anglais. Products Oboe *Josef AS, AS *Josef BS, BS *Josef MGS, ...
, a Japanese manufacturer of musical instruments {{disambiguation ...
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Bessel Ellipsoid
The Bessel ellipsoid (or Bessel 1841) is an important reference ellipsoid of geodesy. It is currently used by several countries for their national geodetic surveys, but will be replaced in the next decades by modern ellipsoids of satellite geodesy. The Bessel ellipsoid was derived in 1841 by Friedrich Wilhelm Bessel, based on several arc measurements and other data of continental geodetic networks of Europe, Russia and the British Survey of India. It is based on 10 meridian arcs and 38 precise measurements of the astronomic latitude and longitude (see also astro geodesy). The dimensions of the Earth ellipsoid axes were defined by logarithms in keeping with former calculation methods. The Bessel and GPS ellipsoids The Bessel ellipsoid fits especially well to the geoid curvature of Europe and Eurasia. Therefore, it is optimal for National survey networks in these regions, although its axes are about 700 m shorter than that of the mean Earth ellipsoid derived by satellites ...
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Czechoslovakia
Czechoslovakia ( ; Czech language, Czech and , ''Česko-Slovensko'') was a landlocked country in Central Europe, created in 1918, when it declared its independence from Austria-Hungary. In 1938, after the Munich Agreement, the Sudetenland became part of Nazi Germany, while the country lost further territories to First Vienna Award, Hungary and Trans-Olza, Poland (the territories of southern Slovakia with a predominantly Hungarian population to Hungary and Zaolzie with a predominantly Polish population to Poland). Between 1939 and 1945, the state ceased to exist, as Slovak state, Slovakia proclaimed its independence and Carpathian Ruthenia became part of Kingdom of Hungary (1920–1946), Hungary, while the German Protectorate of Bohemia and Moravia was proclaimed in the remainder of the Czech Lands. In 1939, after the outbreak of World War II, former Czechoslovak President Edvard Beneš formed Czechoslovak government-in-exile, a government-in-exile and sought recognition from the ...
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Carpathian Ruthenia
Transcarpathia (, ) is a historical region on the border between Central and Eastern Europe, mostly located in western Ukraine's Zakarpattia Oblast. From the Hungarian Hungarian conquest of the Carpathian Basin, conquest of the Carpathian Basin (at the end of the 9th century) to the end of World War I (Treaty of Trianon in 1920), most of this region was part of the Kingdom of Hungary. In the interwar period, it was part of the First Czechoslovak Republic, First and Second Czechoslovak Republics. Before World War II, the region was annexed by the Kingdom of Hungary (1920–46), Kingdom of Hungary once again when Germany dismembered the Second Czechoslovak Republic. After the war, it was annexed by the Soviet Union and became part of the Ukrainian Soviet Socialist Republic. It is an ethnically diverse region, inhabited mostly by people who regard themselves as ethnic Ukrainians, Rusyns, Hungarian people, Hungarians, Romanians, Slovak people, Slovaks, and Polish people, Poles. It a ...
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Czech Republic
The Czech Republic, also known as Czechia, and historically known as Bohemia, is a landlocked country in Central Europe. The country is bordered by Austria to the south, Germany to the west, Poland to the northeast, and Slovakia to the southeast. The Czech Republic has a hilly landscape that covers an area of with a mostly temperate Humid continental climate, continental and oceanic climate. The capital and largest city is Prague; other major cities and urban areas include Brno, Ostrava, Plzeň and Liberec. The Duchy of Bohemia was founded in the late 9th century under Great Moravia. It was formally recognized as an Imperial Estate of the Holy Roman Empire in 1002 and became Kingdom of Bohemia, a kingdom in 1198. Following the Battle of Mohács in 1526, all of the Lands of the Bohemian Crown were gradually integrated into the Habsburg monarchy. Nearly a hundred years later, the Protestantism, Protestant Bohemian Revolt led to the Thirty Years' War. After the Battle of White ...
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Slovakia
Slovakia, officially the Slovak Republic, is a landlocked country in Central Europe. It is bordered by Poland to the north, Ukraine to the east, Hungary to the south, Austria to the west, and the Czech Republic to the northwest. Slovakia's mostly mountainous territory spans about , hosting a population exceeding 5.4 million. The capital and largest city is Bratislava, while the second largest city is Košice. The Slavs arrived in the territory of the present-day Slovakia in the 5th and 6th centuries. From the late 6th century, parts of modern Slovakia were incorporated into the Pannonian Avars, Avar Khaghanate. In the 7th century, the Slavs played a significant role in the creation of Samo's Empire. When the Avar Khaghanate dissolved in the 9th century, the Slavs established the Principality of Nitra before it was annexed by the Great Moravia, Principality of Moravia, which later became Great Moravia. When Great Moravia fell in the 10th century, the territory was integrated i ...
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Coordinate System
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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Absolute Value
In mathematics, the absolute value or modulus of a real number x, is the non-negative value without regard to its sign. Namely, , x, =x if x is a positive number, and , x, =-x if x is negative (in which case negating x makes -x positive), and For example, the absolute value of 3 and the absolute value of −3 is The absolute value of a number may be thought of as its distance from zero. Generalisations of the absolute value for real numbers occur in a wide variety of mathematical settings. For example, an absolute value is also defined for the complex numbers, the quaternions, ordered rings, fields and vector spaces. The absolute value is closely related to the notions of magnitude, distance, and norm in various mathematical and physical contexts. Terminology and notation In 1806, Jean-Robert Argand introduced the term ''module'', meaning ''unit of measure'' in French, specifically for the ''complex'' absolute value,Oxford English Dictionary, Draft Revision, Ju ...
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