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Wilhelm Fuhrmann
Wilhelm Ferdinand Fuhrmann (28 February 1833 – 11 June 1904) was a German mathematician. The Fuhrmann circle and the Fuhrmann triangle are named after him.Roger A. Johnson: ''Advanced Euclidean Geometry''. Dover 2007, , pp. 228–229, 300 (originally published 1929 with Houghton Mifflin Company (Boston) as ''Modern Geometry''). Biography Fuhrmann was born on 28 February 1833 in Burg bei Magdeburg. Fuhrmann had shortly worked as sailor before he returned to school and attended the Altstadt Gymnasium in Königsberg, where his teachers noticed his interest and talent in mathematics and geography. He graduated in 1853 and went on to study mathematics and physics at the University of Königsberg. One of his peers later remembered him as the most talented and diligent student of his class. Fuhrmann however despite his talent did not pursue a career at the university, instead he became a math and science teacher at the Burgschule in Königsberg after his graduation. He j ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fuhrmann Circle
__notoc__ In geometry, the Fuhrmann circle of a triangle, named after the German Wilhelm Fuhrmann (1833–1904), is the circle that has as a diameter the line segment between the orthocenter H and the Nagel point N. This circle is identical with the circumcircle of the Fuhrmann triangle. The radius of the Fuhrmann circle of a triangle with sides ''a'', ''b'', and ''c'' and circumradius ''R'' is : R\sqrt, which is also the distance between the circumcenter and incenter. Aside from the orthocenter the Fuhrmann circle intersects each altitude of the triangle in one additional point. Those points all have the distance 2r from their associated vertices of the triangle. Here r denotes the radius of the triangles incircle.Ross Honsberger: ''Episodes in Nineteenth and Twentieth Century Euclidean Geometry''. MAA, 1995, pp49-52/ref> Notes Further reading *Nguyen Thanh Dung"The Feuerbach Point and the Fuhrmann Triangle" ''Forum Geometricorum'', Volume 16 (2016), pp. 299–311. * J. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fuhrmann Triangle
The Fuhrmann triangle, named after Wilhelm Fuhrmann (1833–1904), is special triangle based on a given arbitrary triangle. For a given triangle \triangle ABC and its circumcircle the midpoints of the arcs over triangle sides are denoted by M_a, M_b, M_c . Those midpoints get reflected at the associated triangle sides yielding the points M^\prime_a, M^\prime_b, M^\prime_c , which forms the ''Fuhrmann triangle''. Roger A. Johnson: ''Advanced Euclidean Geometry''. Dover 2007, , pp. 228–229, 300 (originally published 1929 with Houghton Mifflin Company (Boston) as ''Modern Geometry'').Ross Honsberger: ''Episodes in Nineteenth and Twentieth Century Euclidean Geometry''. MAA, 1995, pp49-52 The circumcircle of Fuhrmann triangle is the Fuhrmann circle. Furthermore the Furhmann triangle is similar to the triangle formed by the mid arc points, that is \triangle M^\prime_c M^\prime_b M^\prime_a \sim \triangle M_a M_b M_c . For the area of the Fuhrmann triangle the following fo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Burg Bei Magdeburg
Burg (also known as Burg bei Magdeburg to distinguish from other places with the same name) is a town of about 22,400 inhabitants on the Elbe–Havel Canal in northeastern Germany, northeast of Magdeburg. It is the capital of the Jerichower Land district in the States of Germany, state of Saxony-Anhalt. The town is known for its mediaeval churches and towers. Due to the numerous towers and steeples Burg also carries the sobriquet ''City of Towers''. Like other German towns and cities, Burg shows its connection to the The Song of Roland, Roland saga with a statue, which was restored in 1999. Etymology Although the name Burg has the same form as the German word ''Burg'' (castle), it is more likely that the name comes from the Slavic languages, Slavic word ''bor'', meaning Temperate coniferous forest, coniferous forest. Subdivisions The municipality Burg bei Magdeburg consists of the town Burg bei Magdeburg and the formerly independent municipalities Detershagen, Ihleburg, Niegrip ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Altstadt Gymnasium
Altstadt Gymnasium Altstadt Gymnasium (german: Altstädtisches Gymnasium) was a German secondary school in the Altstadt quarter of Königsberg, Germany. History A parochial school () was established ca. 1333Albinus, p. 21 or 1335Wiese, p. 150 by the original Altstadt Church. Disputes between Altstadt and Kneiphof over where students should attend classes were common, however. Grand Master Dietrich von Altenburg decided that students in northern Altstadt would attend the school in Altstadt, while students in southern Altstadt would attend school in Kneiphof; every two years the classes would switch schools.Gause I, p. 125 By 1381, however, students from all of Altstadt attended only the parochial school. By 1487 the school had moved to the street Danziger Keller near Königsberg Castle.Babucke, p. 5 The parochial school was expanded into a Latin school in 1525 during the Protestant Reformation. Because sunlight at the Danziger Keller building was partially blocked by one of the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Burgschule (Königsberg)
The Burgschule or Oberrealschule auf der Burg was a secondary school ('' Oberrealschule'') located originally in central Königsberg, Germany, and later in the suburban Amalienau quarter. It was the fourth oldest school in the city, behind Altstadt Gymnasium, Kneiphof Gymnasium, and Löbenicht Realgymnasium. History In 1658 a parochial school was founded in Burgfreiheit near Königsberg Castle to serve the city's reformed community,Albinus, p. 52 which included Germans, English, Scots, Poles, Lithuanians, and Huguenots. Its first and initially only teacher was Dr. Paul Andreas Jurski, who would later become a reformed pastor in Memel (Klaipėda). On 18''Statistisches Jahrbuch der höheren Schulen'', entry 19 August 1664 Frederick William, Elector of Brandenburg, had the parochial school reorganized into a reformed Latin school. Frederick William donated 100 Hufen (roughly 750 hectares) near Labiau (Polessk) in support of the school. In 1691 his successor, Frederick, endowed the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathesis (journal)
''Mathesis: Recueil Mathématique'' was a Belgian scientific journal for elementary mathematics, established in 1881 by Paul Mansion and Joseph Jean Baptiste Neuberg Joseph Jean Baptiste Neuberg (30 October 1840 – 22 March 1926) was a Luxembourger mathematician who worked primarily in geometry. Biography Neuberg was born on 30 October 1840 in Luxembourg City, Luxembourg. He first studied at a local scho .... An earlier Belgian mathematics journal, ''Nouvelle Correspondance Mathématique'', was established in 1874 by Mansion and Neuberg together with Eugène Catalan. In 1880, ''Nouvelle Correspondance'' ceased publication, and Mansion and Neuberg together launched its successor, ''Mathesis'', in 1881. ''Mathesis'' ceased publication in 1915 because of the war in Europe, but restarted again under the editorship of Neuberg and Adolphe Mineur in 1922 as the official journal of the Belgian Mathematical Society, which itself was founded in 1921. It continued in publication unt ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Internet Archive
The Internet Archive is an American digital library with the stated mission of "universal access to all knowledge". It provides free public access to collections of digitized materials, including websites, software applications/games, music, movies/videos, moving images, and millions of books. In addition to its archiving function, the Archive is an activist organization, advocating a free and open Internet. , the Internet Archive holds over 35 million books and texts, 8.5 million movies, videos and TV shows, 894 thousand software programs, 14 million audio files, 4.4 million images, 2.4 million TV clips, 241 thousand concerts, and over 734 billion web pages in the Wayback Machine. The Internet Archive allows the public to upload and download digital material to its data cluster, but the bulk of its data is collected automatically by its web crawlers, which work to preserve as much of the public web as possible. Its web archiving, web archive, the Wayback Machine, contains hu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1833 Births
Events January–March * January 3 – Reassertion of British sovereignty over the Falkland Islands in the South Atlantic. * February 6 – His Royal Highness Prince Otto Friedrich Ludwig of Bavaria assumes the title His Majesty Othon the First, by the Grace of God, King of Greece, Prince of Bavaria. * February 16 – The United States Supreme Court hands down its landmark decision of Barron v. Mayor and City Council of Baltimore. * March 4 – Andrew Jackson is sworn in for his second term as President of the United States. April–June * April 1 – General Antonio López de Santa Anna is elected President of Mexico by the legislatures of 16 of the 18 Mexican states. During his frequent absences from office to fight on the battlefield, Santa Anna turns the duties of government over to his vice president, Valentín Gómez Farías. * April 18 – Over 300 delegates from England, Scotland, Wales and Ireland travel to the office of the Prime Minister, the Earl Grey, to cal ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1904 Deaths
Nineteen or 19 may refer to: * 19 (number), the natural number following 18 and preceding 20 * one of the years 19 BC, AD 19, 1919, 2019 Films * ''19'' (film), a 2001 Japanese film * ''Nineteen'' (film), a 1987 science fiction film Music * 19 (band), a Japanese pop music duo Albums * ''19'' (Adele album), 2008 * ''19'', a 2003 album by Alsou * ''19'', a 2006 album by Evan Yo * ''19'', a 2018 album by MHD * ''19'', one half of the double album ''63/19'' by Kool A.D. * ''Number Nineteen'', a 1971 album by American jazz pianist Mal Waldron * ''XIX'' (EP), a 2019 EP by 1the9 Songs * "19" (song), a 1985 song by British musician Paul Hardcastle. * "Nineteen", a song by Bad4Good from the 1992 album '' Refugee'' * "Nineteen", a song by Karma to Burn from the 2001 album ''Almost Heathen''. * "Nineteen" (song), a 2007 song by American singer Billy Ray Cyrus. * "Nineteen", a song by Tegan and Sara from the 2007 album '' The Con''. * "XIX" (song), a 2014 song by Slipknot. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematicians From The Kingdom Of Prussia
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History One of the earliest known mathematicians were Thales of Miletus (c. 624–c.546 BC); he has been hailed as the first true mathematician and the first known individual to whom a mathematical discovery has been attributed. He is credited with the first use of deductive reasoning applied to geometry, by deriving four corollaries to Thales' Theorem. The number of known mathematicians grew when Pythagoras of Samos (c. 582–c. 507 BC) established the Pythagorean School, whose doctrine it was that mathematics ruled the universe and whose motto was "All is number". It was the Pythagoreans who coined the term "mathematics", and with whom the study of mathematics for its own sake begins. The first woman mathematician recorded by history was Hypatia ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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