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Arnold Droz-Farny
Arnold Droz-Farny (12 February 1856 – 14 January 1912) was a Swiss mathematician, professor in High School of Porrentruy (near Basel). Life and work Arnold Droz changed his family name later in his life when he married Lisa Farny. He studied in the high school of Neuchâtel and then in the Technical School of Stuttgart and in the university of Munich. After graduating in mathematics in Munich, he began to teach in a private school. Soon, in 1880, he was appointed to the chair of mathematics in the Lycée Cantonal of Porrentruy, where he remained till 1908 when his ill health forced him to retire. In mathematical world he is known by a theorem, the Droz-Farny line theorem In Euclidean geometry, the Droz-Farny line theorem is a property of two perpendicular lines through the orthocenter of an arbitrary triangle. Let T be a triangle with vertices A, B, and C, and let H be its orthocenter (the common point of its thr ..., stated by him in 1899, without proof, in an answer to ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
La Chaux-de-Fonds
La Chaux-de-Fonds () is a Swiss city in the canton of Neuchâtel. It is located in the Jura mountains at an altitude of 1000 m, a few kilometers south of the French border. After Geneva, Lausanne and Fribourg, it is the fourth largest city located in the Romandie, the French-speaking part of the country, with a population () of . The city was founded in 1656. Its growth and prosperity is mainly bound up with the watch-making industry. It is the most important centre of the watch-making industry in the area known as the Watch Valley. Partially destroyed by a fire in 1794, La Chaux-de-Fonds was rebuilt following a grid street plan, which was and is still original among Swiss cities, the only exception being the easternmost section of the city, which was spared by the fire. This creates an interesting and obvious transition from the old section to the newer section. The roads in the original section are very narrow and winding, which then open up to the grid pattern near the town ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Switzerland
). Swiss law does not designate a ''capital'' as such, but the federal parliament and government are installed in Bern, while other federal institutions, such as the federal courts, are in other cities (Bellinzona, Lausanne, Luzern, Neuchâtel, St. Gallen a.o.). , coordinates = , largest_city = Zürich , official_languages = , englishmotto = "One for all, all for one" , religion_year = 2020 , religion_ref = , religion = , demonym = , german: Schweizer/Schweizerin, french: Suisse/Suissesse, it, svizzero/svizzera or , rm, Svizzer/Svizra , government_type = Federalism, Federal assembly-independent Directorial system, directorial republic with elements of a direct democracy , leader_title1 = Federal Council (Switzerland), Federal Council , leader_name1 = , leader_title2 = , leader_name2 = Walter Thurnherr , legislature = Fe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Porrentruy
Porrentruy (, fc, Poérreintru , german: Pruntrut) is a Swiss municipality and seat of the district of the same name located in the canton of Jura. Porrentruy is home to National League team, HC Ajoie. History The first trace of human presence in Porrentruy is a mesolithic tool that was found in the back yard of the Hôtel-Dieu. Scattered, individual objects have also been found from the neolithic, the late Bronze Age and the Iron Age. The first known settlement in what became Porrentruy goes back to the Roman era. In 1983, the ruins of a Gallo-Roman temple were discovered in the cemetery on the north of town, and Roman coins were found there. Near the town, a kilometer long (0.6 mile) section of the Augst- Epomanduodurum (now Mandeure) Roman road was discovered. In the back yard of the Hôtel-Dieu the charred remains of a building from the 10th or 11th century were discovered. However, the first historical mention of the name occurs in 1136 as ''Purrentru''. The name ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematics
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians about a common definition for their academic discipline. Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them. These objects consist of either abstractions from nature orin modern mathematicsentities that are stipulated to have certain properties, called axioms. A ''proof'' consists of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, andin case of abstraction from naturesome basic properties that are considered true starting points of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Munich
The Ludwig Maximilian University of Munich (simply University of Munich or LMU; german: Ludwig-Maximilians-Universität München) is a public research university in Munich, Germany. It is Germany's List of universities in Germany, sixth-oldest university in continuous operation. Originally University of Ingolstadt, established in Ingolstadt in 1472 by Louis IX, Duke of Bavaria, Duke Ludwig IX of Bavaria-Landshut, the university was moved in 1800 to Landshut by Maximilian I Joseph of Bavaria, King Maximilian I of Bavaria when the city was threatened by the French, before being relocated to its present-day location in Munich in 1826 by Ludwig I of Bavaria, King Ludwig I of Bavaria. In 1802, the university was officially named Ludwig-Maximilians-Universität by King Maximilian I of Bavaria in honor of himself and Ludwig IX. LMU is currently the second-largest university in Germany in terms of student population; in the 2018/19 winter semester, the university had a total of 51,606 m ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematician
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 Hypati ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Basel
, french: link=no, Bâlois(e), it, Basilese , neighboring_municipalities= Allschwil (BL), Hégenheim (FR-68), Binningen (BL), Birsfelden (BL), Bottmingen (BL), Huningue (FR-68), Münchenstein (BL), Muttenz (BL), Reinach (BL), Riehen (BS), Saint-Louis (FR-68), Weil am Rhein (DE-BW) , twintowns = Shanghai, Miami Beach , website = www.bs.ch Basel ( , ), also known as Basle ( ),french: Bâle ; it, Basilea ; rm, label= Sutsilvan, Basileia; other rm, Basilea . is a city in northwestern Switzerland on the river Rhine. Basel is Switzerland's third-most-populous city (after Zürich and Geneva) with about 175,000 inhabitants. The official language of Basel is (the Swiss variety of Standard) German, but the main spoken language is the local Basel German dialect. Basel is commonly considered to be the cultural capital of Switzerland and the city is famous for its many museums, including the Kunstmuseum, which is the first collection of art accessibl ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Neuchâtel
, neighboring_municipalities= Auvernier, Boudry, Chabrey (VD), Colombier, Cressier, Cudrefin (VD), Delley-Portalban (FR), Enges, Fenin-Vilars-Saules, Hauterive, Saint-Blaise, Savagnier , twintowns = Aarau (Switzerland), Besançon (France), Sansepolcro (Italy) Neuchâtel (, , ; german: Neuenburg) is the capital of the Swiss canton of Neuchâtel, situated on the shoreline of Lake Neuchâtel. Since the fusion in 2021 of the municipalities of Neuchâtel, Corcelles-Cormondrèche, Peseux, and Valangin, the city has approximately 45,000 inhabitants (80,000 in the metropolitan area). The city is sometimes referred to historically by the German name ; both the French and German names mean "New Castle". It was originally part of the Kingdom of Burgundy, then part of the Holy Roman Empire and later under Prussian control from 1707 until 1848, with an interruption during the Napoleonic Wars from 1802 to 1814. In 1848, Neuchâtel became a republic and a canton of Switzerland. Neuchà ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Stuttgart Technology University Of Applied Sciences
The Hochschule für Technik Stuttgart - University of Applied Sciences (german: Hochschule für Technik Stuttgart, HFT Stuttgart) is one of ten institutes for higher education in Stuttgart. It was founded in 1832 as a school for construction craftsmen (Winterschule für Bauhandwerker) and was inaugurated as a University of Applied Sciences in 1971. The campus is located in downtown Stuttgart. Faculties and programmes There are three faculties offering the following programmes: *Faculty of Architecture and Design: **Architecture (Bachelor and Master) **Interior Design (Bachelor) **Climate engineering (Bachelor) **International Project Management (Master) **International Master of Interior-Architectural Design (Master) **Urban Planning (Master) *Faculty of Civil Engineering, Building Physics and Business Management **Building Physics (Bachelor) **Building Physics and Business Management (Bachelor) **Business Management (Bachelor) **Business Psychology (Bachelor) **Civil Enginee ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Munich
The Ludwig Maximilian University of Munich (simply University of Munich or LMU; german: Ludwig-Maximilians-Universität München) is a public research university in Munich, Germany. It is Germany's List of universities in Germany, sixth-oldest university in continuous operation. Originally University of Ingolstadt, established in Ingolstadt in 1472 by Louis IX, Duke of Bavaria, Duke Ludwig IX of Bavaria-Landshut, the university was moved in 1800 to Landshut by Maximilian I Joseph of Bavaria, King Maximilian I of Bavaria when the city was threatened by the French, before being relocated to its present-day location in Munich in 1826 by Ludwig I of Bavaria, King Ludwig I of Bavaria. In 1802, the university was officially named Ludwig-Maximilians-Universität by King Maximilian I of Bavaria in honor of himself and Ludwig IX. LMU is currently the second-largest university in Germany in terms of student population; in the 2018/19 winter semester, the university had a total of 51,606 m ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Droz-Farny Line Theorem
In Euclidean geometry, the Droz-Farny line theorem is a property of two perpendicular lines through the orthocenter of an arbitrary triangle. Let T be a triangle with vertices A, B, and C, and let H be its orthocenter (the common point of its three altitude lines. Let L_1 and L_2 be any two mutually perpendicular lines through H. Let A_1, B_1, and C_1 be the points where L_1 intersects the side lines BC, CA, and AB, respectively. Similarly, let Let A_2, B_2, and C_2 be the points where L_2 intersects those side lines. The Droz-Farny line theorem says that the midpoints of the three segments A_1A_2, B_1B_2, and C_1C_2 are collinear. The theorem was stated by Arnold Droz-Farny in 1899, but it is not clear whether he had a proof. Goormaghtigh's generalization A generalization of the Droz-Farny line theorem was proved in 1930 by René Goormaghtigh. As above, let T be a triangle with vertices A, B, and C. Let P be any point distinct from A, B, and C, and L be any line through ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
19th-century Swiss 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 la ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
