Karl Gustav Reuschle
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Karl Gustav Reuschle
Karl Gustav Reuschle (26 December 1812 – 22 May 1875) was a German mathematician, geographer and educator. Reuschle was born in Mehrstetten in Württemberg and studied math and theology at the University of Tübingen. After his graduation he continued his studies in mathematics for a year in Paris and for a year in Berlin. From 1837 onwards Reuschle worked as a teacher, first in Schöntal then in Tübingen (1938) and finally since 1840 at a gymnasium in Stuttgart, where he taught as professor for mathematics and geography. Reuschle authored a number of science books, mostly on geography and mathematics. Particularly well received at the time was his biography of Johannes Kepler (1871). His son Karl Reuschle (1847–1909) was a mathematician as well, he became the cofounder of the mathematical seminar at the University of Stuttgart.''Carl ...
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Mehrstetten
Mehrstetten is a municipality in the district of Reutlingen (district), Reutlingen in Baden-Württemberg in Germany. It is located seven kilometers southeast of Münsingen, Germany, Münsingen. Neighbouring communities The city Münsingen (Württemberg), Münsingen district of Reutlingen and the community Schelklingen (Alb-Donau-Kreis) are bordering to the municipality Mehrstetten. Constituent communities The municipality includes the village Mehrstetten, the settlement Greut, the homestead Ziegelhof and the group of houses Station Mehrstetten. In the municipality lies the desertion, deserted Aymstetten.''Das Land Baden-Württemberg. Amtliche Beschreibung nach Kreisen und Gemeinden. Band VII: Regierungsbezirk Tübingen.'' Kohlhammer, Stuttgart 1978, . S. 53–54 History Mehrstetten was mentioned around 1300 as ''Merstetten'' for the first time. Mehrstetten came in 1654 to the office Münsingen in the Duchy of Württemberg, this became in 1808 Oberamt Münsingen, Oberamt and in 19 ...
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Württemberg
Württemberg ( ; ) is a historical German territory roughly corresponding to the cultural and linguistic region of Swabia. The main town of the region is Stuttgart. Together with Baden and Province of Hohenzollern, Hohenzollern, two other historical territories, Württemberg now forms the Federal State of Baden-Württemberg. Württemberg was formerly also spelled Würtemberg and Wirtemberg Castle, Wirtemberg. History Originally part of the old Duchy of Swabia, its history can be summarized in the following periods: *County of Württemberg (1083–1495) *Duchy of Württemberg (1495–1803) *Electorate of Württemberg (1803–1806) *Kingdom of Württemberg (1806–1918) *Free People's State of Württemberg (1918–1945) After World War II, it was split into Württemberg-Baden and Württemberg-Hohenzollern owing to the different Allied Occupation Zones in Germany, occupation zones of the United States and France. Finally, in 1952, it was integrated into Baden-Württemberg. Stutt ...
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University Of Tübingen
The University of Tübingen, officially the Eberhard Karl University of Tübingen (; ), is a public research university located in the city of Tübingen, Baden-Württemberg, Germany. The University of Tübingen is one of eleven German Excellence Universities. The University of Tübingen is especially known as a centre for the study of plant biology, medicine, law, archeology, ancient cultures, philosophy, theology, religious studies, humanities, and more recently as a center of excellence for artificial intelligence. The university's noted alumni and faculty include presidents, a pope, EU Commissioners, judges of the Federal Constitutional Court, and Johannes Kepler. The university is associated with eleven List of Nobel laureates, Nobel laureates, especially in the fields of medicine and chemistry. History The University of Tübingen was founded in 1477 by Count Eberhard I, Duke of Württemberg, Eberhard V (Eberhard im Bart, 1445–1496), later the first Duke of Württemberg ...
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Paris
Paris () is the Capital city, capital and List of communes in France with over 20,000 inhabitants, largest city of France. With an estimated population of 2,048,472 residents in January 2025 in an area of more than , Paris is the List of cities in the European Union by population within city limits, fourth-most populous city in the European Union and the List of cities proper by population density, 30th most densely populated city in the world in 2022. Since the 17th century, Paris has been one of the world's major centres of finance, diplomacy, commerce, culture, Fashion capital, fashion, and gastronomy. Because of its leading role in the French art, arts and Science and technology in France, sciences and its early adoption of extensive street lighting, Paris became known as the City of Light in the 19th century. The City of Paris is the centre of the Île-de-France region, or Paris Region, with an official estimated population of 12,271,794 inhabitants in January 2023, or ...
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Schöntal
is a municipality in the district of in , Germany. It is principally known as the location of Abbey. Districts The municipality consists of the following districts. * * * * Abbey * * * * * History Following the dissolution of Abbey in 1802, its constituent towns were governed by the Kingdom of as they had existed under the monastery. In 1810–11, this district was dissolved and its area given to the , , and districts. In 1938, these were all given to the district of the Free People's State of . With the , and its old e have been assigned to the district. The 81, running through , began operation in 1974. Geography The municipality ( ) of comprises of the district, within the state of and the Federal Republic of Germany Germany, officially the Federal Republic of Germany, is a country in Central Europe. It lies between the Baltic Sea and the North Sea to the north and the Alps to the south. Its sixteen constituent states have a tota ...
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Tübingen
Tübingen (; ) is a traditional college town, university city in central Baden-Württemberg, Germany. It is situated south of the state capital, Stuttgart, and developed on both sides of the Neckar and Ammer (Neckar), Ammer rivers. about one in three of the 90,000 people living in Tübingen is a student. As of the 2018/2019 winter semester, 27,665 students attend the University of Tübingen, Eberhard Karl University of Tübingen. The city has the lowest median age in Germany, in part due to its status as a university city. As of December 31, 2015, the average age of a citizen of Tübingen is 39.1 years. Immediately north of the city lies the Schönbuch, a densely wooded nature park. The Swabian Alb mountains rise about (beeline Tübingen City to Roßberg - 869 m) to the southeast of Tübingen. The Ammer and Steinlach rivers are Tributary, tributaries of the Neckar river, which flows in an easterly direction through the city, just south of the Middle Ages, medieval old town. La ...
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Gymnasium (school)
''Gymnasium'' (and Gymnasium (school)#By country, variations of the word) is a term in various European languages for a secondary school that prepares students for higher education at a university. It is comparable to the US English term ''University-preparatory school, preparatory high school'' or the British term ''grammar school''. Before the 20th century, the gymnasium system was a widespread feature of educational systems throughout many European countries. The word (), from Greek () 'naked' or 'nude', was first used in Ancient Greece, in the sense of a place for both physical and intellectual education of young men. The latter meaning of a place of intellectual education persisted in many European languages (including Albanian language, Albanian, Bulgarian language, Bulgarian, Czech language, Czech, Dutch language, Dutch, Estonian language, Estonian, Greek language, Greek, German language, German, Hungarian language, Hungarian, Macedonian language, Macedonian, Montene ...
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Moritz Cantor
Moritz Benedikt Cantor (23 August 1829 – 10 April 1920) was a German historian of mathematics. Biography Cantor was born at Mannheim. He came from a Sephardi Jewish family that had emigrated to the Netherlands from Portugal, another branch of which had established itself in Russia. In his early youth, Moritz Cantor was not strong enough to go to school, and his parents decided to educate him at home. Later, however, he was admitted to an advanced class of the Gymnasium in Mannheim. From there he went to the University of Heidelberg in 1848, and soon after to the University of Göttingen, where he studied under Gauss and Weber, and where Stern awakened in him a strong interest in historical research. After obtaining his PhD at the University of Heidelberg in 1851, he went to Berlin, where he eagerly followed the lectures of Peter Gustav Lejeune Dirichlet; and upon his return to Heidelberg in 1853, he was appointed privat-docent at the university. In 1863, he was promoted ...
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Johannes Kepler
Johannes Kepler (27 December 1571 – 15 November 1630) was a German astronomer, mathematician, astrologer, Natural philosophy, natural philosopher and writer on music. He is a key figure in the 17th-century Scientific Revolution, best known for his Kepler's laws of planetary motion, laws of planetary motion, and his books ''Astronomia nova'', ''Harmonice Mundi'', and ''Epitome Astronomiae Copernicanae'', influencing among others Isaac Newton, providing one of the foundations for his theory of Newton's law of universal gravitation, universal gravitation. The variety and impact of his work made Kepler one of the founders and fathers of modern astronomy, the scientific method, Natural science, natural and modern science. He has been described as the "father of science fiction" for his novel ''Somnium (novel), Somnium''. Kepler was a mathematics teacher at a seminary school in Graz, where he became an associate of Hans Ulrich von Eggenberg, Prince Hans Ulrich von Eggenberg. Lat ...
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University Of Stuttgart
The University of Stuttgart () is a research university located in Stuttgart, Germany. It was founded in 1829 and is organized into 10 faculties. It is one of the oldest technical universities in Germany with programs in civil, mechanical, industrial and electrical engineering, among others. It is a member of TU9, an incorporated society of the largest and most notable German institutes of technology. History From 1770 to 1794, the Karlsschule was the first university in Stuttgart. The University of Hohenheim in Stuttgart-Hohenheim, founded in 1818 and Stuttgart's oldest still existing university, is not related to the University of Stuttgart, except for some joint activities. What is now the University of Stuttgart was founded in 1829, and celebrated its 175th anniversary in 2004. Because of the increasing importance of the technical sciences and instruction in these fields, from 1876 the university was known as the Technische Hochschule Stuttgart (Stuttgart Institute of ...
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Karin Reich
Karin Anna Reich is a German historian of mathematics. Career From 1967 to 1973 Reich was a scientific assistant at the Research Institute of the Deutsches Museum in Munich and the Institute for the History of Mathematics and Natural Sciences at the Ludwig Maximilian University of Munich, where in 1973 she graduated under supervision of Helmuth Gericke. In 1980 she completed her time in Munich, publishing ''The development of tensor calculus'', in 1994 in a revised form as a book. In 1980 she became Professor of the History of Natural Science and Engineering at the Stuttgart College of Librarianship. In 1980/81 and 1981/82 she had a teaching assignment for the History of Mathematics at the University of Heidelberg. In 1981 she represented the Department of History of Science at the University of Hamburg. In 1982, she became associate professor and in 1988 Professor for History of Mathematics at the University of Stuttgart. From 1994 until her retirement she was a professor at t ...
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Reuschle's Theorem
In elementary geometry, Reuschle's theorem describes a property of the cevian In geometry, a cevian is a line segment which joins a vertex of a triangle to a point on the opposite side of the triangle. Medians and angle bisectors are special cases of cevians. The name ''cevian'' comes from the Italian mathematician Giov ...s of a triangle intersecting in a common point and is named after the German mathematician Karl Gustav Reuschle (1812–1875). It is also known as Terquem's theorem after the French mathematician Olry Terquem (1782–1862), who published it in 1842. In a triangle ABC with its three cevians intersecting in a common point other than the vertices A, B or C let P_a, P_b and P_c denote the intersections of the (extended) triangle sides and the cevians. The circle defined by the three points P_a, P_b and P_c intersects the (extended) triangle sides in the (additional) points P'_a, P'_b and P'_c. Reuschle's theorem now states that the three new cevians AP'_a, BP ...
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