Ferdinand Karl Schweikart
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Ferdinand Karl Schweikart
Ferdinand Karl Schweikart (1780–1857) was a German jurist and amateur mathematician who developed an ''astral geometry'' before the discovery of non-Euclidean geometry. Life and work Schweikart, son of an attorney in Hesse, was educated in the school of his town. He went to the high school in Hanau and Waldeck before entering in 1796 to study law in the university of Marburg, where he attended lectures of the mathematics professor J.K.F. Hauff. He was awarded a doctorate in law at the university of Jena in 1798. After practicing as a lawyer for a few years in Erbach, he was, from 1803 to 1807, instructor of the youngest prince of Hohenlohe-Ingelfingen. From 1809, he was university professor of jurisprudence successively at the universities of Giessen (1809-1812), Kharkiv (1812-1816), Marburg (1816-1821) and Königsberg (1821 afterwards)., 1909. Meyers Großes Konversations-Lexikon. But Schweikart is best remembered for his works on mathematics: in 1807 he published Die Theor ...
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Erbach Im Odenwald
Erbach () is a town and the district seat of the Odenwaldkreis (district) in Hesse, Germany. It has a population of around 13,000. Geography Location The town lies in the ''Mittelgebirge'' Odenwald at elevations between 200 and 560 m in the valley of the Mümling. One geological peculiarity is the creek Erdbach's complete disappearance within Dorf-Erbach's community area. The Erdbach reappears near Stockheim. There are several places where the Erdbach disappears into the ground. Neighbouring communities Erbach borders in the north on the town of Michelstadt, in the east on the market town of Kirchzell (in Miltenberg district in Bavaria), in the south on the community of Hesseneck and the town of Beerfelden and in the west on the community of Mossautal (all three in the ''Odenwaldkreis''). A planned merger with the neighbouring town of Michelstadt was blocked in November 2007 by a referendum (''Bürgerentscheid''). For the time being, ways are being sought to deepen th ...
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Waldeck, Hesse
Waldeck is a small town in Waldeck-Frankenberg district in northwestern Hesse, Germany. Its located near the Edersee, which is a popular destination for tourists and locals alike. Geography Location Waldeck lies on the Edersee, a man-made lake. Waldeck's constituent communities stretch from the shore of the Edersee into the Kellerwald. Neighbouring communities Waldeck borders in the north on the community of Twistetal, in the northeast on the town of Bad Arolsen (both in Waldeck-Frankenberg), in the east on the towns of Wolfhagen and Naumburg (both in the district of Kassel), in the south on the community of Edertal, and in the west on the community of Vöhl and the town of Korbach (all three in Waldeck-Frankenberg). Constituent communities The town of Waldeck consists of the centres of Alraft, Dehringhausen, Freienhagen, Höringhausen, Netze, Nieder-Werbe, Ober-Werbe, Sachsenhausen, Selbach and Waldeck. History The first evidence of settlement at Waldeck comes from the year ...
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19th-century German Mathematicians
The 19th (nineteenth) century began on 1 January 1801 ( MDCCCI), and ended on 31 December 1900 ( MCM). The 19th century was the ninth century of the 2nd millennium. The 19th century was characterized by vast social upheaval. Slavery was abolished in much of Europe and the Americas. The First Industrial Revolution, though it began in the late 18th century, expanding beyond its British homeland for the first time during this century, particularly remaking the economies and societies of the Low Countries, the Rhineland, Northern Italy, and the Northeastern United States. A few decades later, the Second Industrial Revolution led to ever more massive urbanization and much higher levels of productivity, profit, and prosperity, a pattern that continued into the 20th century. The Islamic gunpowder empires fell into decline and European imperialism brought much of South Asia, Southeast Asia, and almost all of Africa under colonial rule. It was also marked by the collapse of the large S ...
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Franz Taurinus
Franz Adolph Taurinus (15 November 1794 – 13 February 1874) was a Germans, German mathematician who is known for his work on non-Euclidean geometry. Life Franz Taurinus was the son of Julius Ephraim Taurinus, a court official of the Count of Erbach-Schönberg, and Luise Juliane Schweikart. He studied law in Heidelberg, Gießen and Göttingen. He lived as a private scholar in Cologne. Hyperbolic geometry Taurinus corresponded with his uncle Ferdinand Karl Schweikart (1780-1859), who was a law professor in Königsberg, among other things about mathematics. Schweikart examined a model (after Giovanni Girolamo Saccheri and Johann Heinrich Lambert) in which the parallel postulate is not satisfied, and in which the sum of three angles of a triangle is less than two right angles (which is now called hyperbolic geometry). While Schweikart never published his work (which he called "astral geometry"), he sent a short summary of its main principles by letter to Carl Friedrich Gauß. Mo ...
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Hyperbolic Geometry
In mathematics, hyperbolic geometry (also called Lobachevskian geometry or Bolyai– Lobachevskian geometry) is a non-Euclidean geometry. The parallel postulate of Euclidean geometry is replaced with: :For any given line ''R'' and point ''P'' not on ''R'', in the plane containing both line ''R'' and point ''P'' there are at least two distinct lines through ''P'' that do not intersect ''R''. (Compare the above with Playfair's axiom, the modern version of Euclid's parallel postulate.) Hyperbolic plane geometry is also the geometry of pseudospherical surfaces, surfaces with a constant negative Gaussian curvature. Saddle surfaces have negative Gaussian curvature in at least some regions, where they locally resemble the hyperbolic plane. A modern use of hyperbolic geometry is in the theory of special relativity, particularly the Minkowski model. When geometers first realised they were working with something other than the standard Euclidean geometry, they described their geomet ...
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Christian Ludwig Gerling
Christian Ludwig Gerling (10 July 1788 – 15 January 1864) studied under Carl Friedrich Gauss, obtaining his doctorate in 1812 for a thesis entitled: ''Methodi proiectionis orthographicae usum ad calculos parallacticos facilitandos explicavit simulque eclipsin solarem die,'' at the University of Göttingen. He is notable for his work on geodetics and in 1927 some 60 letters of correspondence between Gerling and Gauss on the topic were published. He is also notable as the doctoral advisor of Julius Plücker. Gerling, whose father was also called Christian Ludwig Gerling and was a pastor at the St. Jacobi church, was born in Hamburg and attended the Johanneum. In 1817, he became professor of mathematics at the University of Marburg The Philipps University of Marburg (german: Philipps-Universität Marburg) was founded in 1527 by Philip I, Landgrave of Hesse, which makes it one of Germany's oldest universities and the oldest still operating Protestant university in the wor ...
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Gauss
Johann Carl Friedrich Gauss (; german: Gauß ; la, Carolus Fridericus Gauss; 30 April 177723 February 1855) was a German mathematician and physicist who made significant contributions to many fields in mathematics and science. Sometimes referred to as the ''Princeps mathematicorum'' () and "the greatest mathematician since antiquity", Gauss had an exceptional influence in many fields of mathematics and science, and he is ranked among history's most influential mathematicians. Also available at Retrieved 23 February 2014. Comprehensive biographical article. Biography Early years Johann Carl Friedrich Gauss was born on 30 April 1777 in Brunswick (Braunschweig), in the Duchy of Brunswick-Wolfenbüttel (now part of Lower Saxony, Germany), to poor, working-class parents. His mother was illiterate and never recorded the date of his birth, remembering only that he had been born on a Wednesday, eight days before the Feast of the Ascension (which occurs 39 days after Easter). Ga ...
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University Of Königsberg
The University of Königsberg (german: Albertus-Universität Königsberg) was the university of Königsberg in East Prussia. It was founded in 1544 as the world's second Protestant academy (after the University of Marburg) by Duke Albert of Prussia, and was commonly known as the Albertina. Following World War II, the city of Königsberg was transferred to the Soviet Union according to the 1945 Potsdam Agreement, and renamed Kaliningrad in 1946. The Albertina was closed and the remaining non-Lithuanian population either executed or expelled, by the terms of the Potsdam Agreement. Today, the Immanuel Kant Baltic Federal University in Kaliningrad claims to maintain the traditions of the Albertina. History Albert, former Grand Master of the Teutonic Knights and first Duke of Prussia since 1525, had purchased a piece of land behind Königsberg Cathedral on the Kneiphof island of the Pregel River from the Samland chapter, where he had an academic gymnasium (school) erected in 154 ...
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National University Of Kharkiv
The Kharkiv University or Karazin University ( uk, Каразінський університет), or officially V. N. Karazin Kharkiv National University ( uk, Харківський національний університет імені В. Н. Каразіна), is one of the major universities in Ukraine, and earlier in the Russian Empire and Soviet Union. It was founded in 1804 through the efforts of Vasily Karazin becoming the second oldest university in modern-day Ukraine. History Russian Empire On , the Decree on the Opening of the Imperial University in Kharkiv came into force. The university became the second university in the south of the Russian Empire. It was founded on the initiative of the local community with Vasily Karazin at the fore, whose idea was supported by the nobility and the local authorities. Count Seweryn Potocki was appointed the first supervisor of the university, the first rector being the philologist and philosopher Ivan Rizhsky. In 1811 ...
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University Of Giessen
University of Giessen, official name Justus Liebig University Giessen (german: Justus-Liebig-Universität Gießen), is a large public research university in Giessen, Hesse, Germany. It is named after its most famous faculty member, Justus von Liebig, the founder of modern agricultural chemistry and inventor of artificial fertiliser. It covers the areas of arts/humanities, business, dentistry, economics, law, medicine, science, social sciences, and veterinary medicine. Its university hospital, which has two sites, Giessen and Marburg (the latter of which is the teaching hospital of the University of Marburg), is the only private university hospital in Germany. History The University of Giessen is among the oldest institutions of higher educations in the German-speaking world. It was founded in 1607 as a Lutheran university in the city of Giessen in Hesse-Darmstadt because the all-Hessian ''Landesuniversität'' (the nearby University of Marburg (''Philipps-Universität Marburg'') ...
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Hohenlohe-Ingelfingen
Hohenlohe-Ingelfingen was a German County of the House of Hohenlohe, located in northeastern Baden-Württemberg, Germany, around Ingelfingen. Hohenlohe-Ingelfingen was a scion of Hohenlohe-Langenburg. It was raised from a County to a Principality in 1764, and was mediatised to Württemberg in 1806. Counts of Hohenlohe-Ingelfingen (1701–1764) *Christian Kraft, Count of Hohenlohe-Langenburg Hohenlohe-Langenburg () was a German county and later principality in the Holy Roman Empire. It was located in the current northeastern Baden-Württemberg, Germany, around Langenburg. Since the medieval times this small state was ruled by the Hous ..., from 1701 to 1743 *Philip Henry (died 1781), Count from 1743 to 1764 Princes of Hohenlohe-Ingelfingen (1764–1806) *Philip Henry (died 1781), prince from 1764 to 1781 *Henry Augustus (died 1796), prince from 1781 to 1796 * Frederick Louis (1746–1818), prince from 1796 to 1806, resigned in favour of his son: **Adolf Karl Friedrich Ludwig ( ...
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University Of Jena
The University of Jena, officially the Friedrich Schiller University Jena (german: Friedrich-Schiller-Universität Jena, abbreviated FSU, shortened form ''Uni Jena''), is a public research university located in Jena, Thuringia, Germany. The university was established in 1558 and is counted among the ten oldest universities in Germany. It is affiliated with six Nobel Prize winners, most recently in 2000 when Jena graduate Herbert Kroemer won the Nobel Prize for physics. In the 2023 Times Higher Education World University Rankings, the university was awarded 189th place in the world. It was renamed after the poet Friedrich Schiller who was teaching as professor of philosophy when Jena attracted some of the most influential minds at the turn of the 19th century. With Karl Leonhard Reinhold, Johann Gottlieb Fichte, G. W. F. Hegel, F. W. J. Schelling and Friedrich Schlegel on its teaching staff, the university was at the centre of the emergence of German idealism and early Romanti ...
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