Gaston Albert Gohierre De Longchamps
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Gaston Albert Gohierre De Longchamps
Gaston Albert Gohierre de Longchamps (1 March 1842 – 9 July 1906) was a French mathematician.. Gohierre de Longchamps was born on 1 March 1842 in Alençon. He studied at the École Normale Supérieure beginning in 1863, and began a career as a teacher beginning in 1866. He retired from the Lycée Saint-Louis, his final teaching position, in 1897, and died in Paris on 9 July 1906.. De Lonchamps was a member of many international scientific societies, and in 1892 became a chevalier of the Legion of Honor. He was the editor of the ''Journal de mathématiques élémentaires'' and an associated journal, the ''Journal de mathématiques spéciales'', taking both journals over from their founder J. Bourget. The de Longchamps point of a triangle A triangle is a polygon with three Edge (geometry), edges and three Vertex (geometry), vertices. It is one of the basic shapes in geometry. A triangle with vertices ''A'', ''B'', and ''C'' is denoted \triangle ABC. In Euclidean geometry, ...
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Alençon
Alençon (, , ; nrf, Alençoun) is a commune in Normandy, France, capital of the Orne department. It is situated west of Paris. Alençon belongs to the intercommunality of Alençon (with 52,000 people). History The name of Alençon is first recorded in a document dated in the seventh century. During the tenth century, Alençon was a buffer state between Normandy and the Maine regions. In 1049–1051, William Duke of Normandy, later known as William the Conqueror and king of England, laid siege to the town, which had risen in support of the Count of Anjou along with two other towns of the Bellême estates, Domfront (then in Maine) and Bellême (held directly from King Henry I of France). According to Duke William's chaplain and panegyrist, William of Poitiers, the defenders of the fortress refused to surrender and mockingly waved animal hides from the castle walls, referencing William's lineage as the grandson of a tanner. In response to this, William had 32 prisoners of the ...
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École Normale Supérieure
École may refer to: * an elementary school in the French educational stages normally followed by secondary education establishments (collège and lycée) * École (river), a tributary of the Seine flowing in région Île-de-France * École, Savoie, a French commune * École-Valentin, a French commune in the Doubs département * Grandes écoles, higher education establishments in France * The École, a French-American bilingual school in New York City Ecole may refer to: * Ecole Software This is a list of Notability, notable video game companies that have made games for either computers (like PC or Mac), video game consoles, handheld or mobile devices, and includes companies that currently exist as well as now-defunct companies. ...
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Lycée Saint-Louis
The lycée Saint-Louis is a highly selective post-secondary school located in the 6th arrondissement of Paris, in the Latin Quarter. It is the only public French lycée exclusively dedicated to providing ''classes préparatoires aux grandes écoles'' (''CPGE;'' preparatory classes for the Grandes Écoles such as École Polytechnique, CentraleSupélec in engineering and ESSEC Business School, ESCP Business School, and HEC Paris in commerce). It is known for the quality of its teaching, low acceptance rate and the results it achieves in their intensely competitive entrance examinations (''concours''). It is widely regarded as one of the best preparatory class in France and one of the most elitist and prestigious along with its neighbours from the Sainte-Geneviève hill the lycée Henri IV and the lycée Louis-Le-Grand. Saint-Louis has graduated many notable alumni, including five Nobel laureates, one Fields laureate, one President of France, as well as major intellectual figures ...
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Paris
Paris () is the capital and most populous city of France, with an estimated population of 2,165,423 residents in 2019 in an area of more than 105 km² (41 sq mi), making it the 30th most densely populated city in the world in 2020. Since the 17th century, Paris has been one of the world's major centres of finance, diplomacy, commerce, fashion, gastronomy, and science. For its leading role in the arts and sciences, as well as its very early system of street lighting, in the 19th century it became known as "the City of Light". Like London, prior to the Second World War, it was also sometimes called the capital of the world. The City of Paris is the centre of the ÃŽle-de-France region, or Paris Region, with an estimated population of 12,262,544 in 2019, or about 19% of the population of France, making the region France's primate city. The Paris Region had a GDP of €739 billion ($743 billion) in 2019, which is the highest in Europe. According to the Economist Intelli ...
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Legion Of Honor
The National Order of the Legion of Honour (french: Ordre national de la Légion d'honneur), formerly the Royal Order of the Legion of Honour ('), is the highest French order of merit, both military and civil. Established in 1802 by Napoleon Bonaparte, it has been retained (with occasional slight alterations) by all later French governments and regimes. The order's motto is ' ("Honour and Fatherland"); its seat is the Palais de la Légion d'Honneur next to the Musée d'Orsay, on the left bank of the Seine in Paris. The order is divided into five degrees of increasing distinction: ' (Knight), ' (Officer), ' (Commander), ' (Grand Officer) and ' (Grand Cross). History Consulate During the French Revolution, all of the French orders of chivalry were abolished and replaced with Weapons of Honour. It was the wish of Napoleon Bonaparte, the First Consul, to create a reward to commend civilians and soldiers. From this wish was instituted a , a body of men that was not an order of ...
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De Longchamps Point
In geometry, the de Longchamps point of a triangle is a triangle center named after French mathematician Gaston Albert Gohierre de Longchamps. It is the reflection of the orthocenter of the triangle about the circumcenter.. Definition Let the given triangle have vertices A, B, and C, opposite the respective sides a, b, and c, as is the standard notation in triangle geometry. In the 1886 paper in which he introduced this point, de Longchamps initially defined it as the center of a circle \Delta orthogonal to the three circles \Delta_a, \Delta_b, and \Delta_c, where \Delta_a is centered at A with radius a and the other two circles are defined symmetrically. De Longchamps then also showed that the same point, now known as the de Longchamps point, may be equivalently defined as the orthocenter of the anticomplementary triangle of ABC, and that it is the reflection of the orthocenter of ABC around the circumcenter. The Steiner circle of a triangle is concentric with the nine-point ...
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Triangle
A triangle is a polygon with three Edge (geometry), edges and three Vertex (geometry), vertices. It is one of the basic shapes in geometry. A triangle with vertices ''A'', ''B'', and ''C'' is denoted \triangle ABC. In Euclidean geometry, any three points, when non-Collinearity, collinear, determine a unique triangle and simultaneously, a unique Plane (mathematics), plane (i.e. a two-dimensional Euclidean space). In other words, there is only one plane that contains that triangle, and every triangle is contained in some plane. If the entire geometry is only the Euclidean plane, there is only one plane and all triangles are contained in it; however, in higher-dimensional Euclidean spaces, this is no longer true. This article is about triangles in Euclidean geometry, and in particular, the Euclidean plane, except where otherwise noted. Types of triangle The terminology for categorizing triangles is more than two thousand years old, having been defined on the very first page of ...
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1842 Births
__NOTOC__ Year 184 ( CLXXXIV) was a leap year starting on Wednesday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Eggius and Aelianus (or, less frequently, year 937 ''Ab urbe condita''). The denomination 184 for this year has been used since the early medieval period, when the Anno Domini calendar era became the prevalent method in Europe for naming years. Events By place China * The Yellow Turban Rebellion and Liang Province Rebellion break out in China. * The Disasters of the Partisan Prohibitions ends. * Zhang Jue leads the peasant revolt against Emperor Ling of Han of the Eastern Han Dynasty. Heading for the capital of Luoyang, his massive and undisciplined army (360,000 men), burns and destroys government offices and outposts. * June – Ling of Han places his brother-in-law, He Jin, in command of the imperial army and sends them to attack the Yellow Turban rebels. * Winter – Zha ...
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1906 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 Slipk ...
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Knights Of The Legion Of Honour
A knight is a person granted an honorary title of knighthood by a head of state (including the Pope) or representative for service to the monarch, the church or the country, especially in a military capacity. Knighthood finds origins in the Greek ''hippeis'' and ''hoplite'' (ἱππεῖς) and Roman '' eques'' and ''centurion'' of classical antiquity. In the Early Middle Ages in Europe, knighthood was conferred upon mounted warriors. During the High Middle Ages, knighthood was considered a class of lower nobility. By the Late Middle Ages, the rank had become associated with the ideals of chivalry, a code of conduct for the perfect courtly Christian warrior. Often, a knight was a vassal who served as an elite fighter or a bodyguard for a lord, with payment in the form of land holdings. The lords trusted the knights, who were skilled in battle on horseback. Knighthood in the Middle Ages was closely linked with horsemanship (and especially the joust) from its origins in the 12 ...
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