Louis Bertrand (mathematician)
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Louis Bertrand (mathematician)
Louis Bertrand (3 October 1731 – 15 May 1812) was a Genevan mathematician. Biography He was born, lived and died in Geneva, where he published the work ''Developpement nouveau de la partie elementaire des mathematiques'' (1778), which included a demonstration of Euclid's postulates that gained fame before the rise of non-Euclidean geometry and influenced most of the elementary geometry treatises of the 19th century. He was a professor of mathematics at the University of Geneva from 1761 to 1795, becoming its rector in 1783. In 1774, he published the work ''De l'instruction publique'' in open opposition to Horace de Saussure's ''Projet de réforme pour le Collège de Genève''. He worked, besides in Geneva, also in Berlin, Bern, and London London is the capital and largest city of England and the United Kingdom, with a population of just under 9 million. It stands on the River Thames in south-east England at the head of a estuary down to the North Sea, and has ...
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Republic Of Geneva
The Canton of Geneva, officially the Republic and Canton of Geneva (french: link=no, République et canton de Genève; frp, Rèpublica et canton de Geneva; german: Republik und Kanton Genf; it, Repubblica e Cantone di Ginevra; rm, Republica e chantun Genevra), is one of the 26 cantons forming the Swiss Confederation. It is composed of forty-five municipalities and the seat of the government and parliament is in the City of Geneva. Geneva is the French-speaking westernmost canton of Switzerland. It lies at the western end of Lake Geneva and on both sides of the Rhone, its main river. Within the country, the canton shares borders with Vaud to the east, the only adjacent canton. However, the borders of the canton are essentially international, with the French region of Auvergne-Rhône-Alpes. As is the case in several other Swiss cantons (Ticino, Neuchâtel, and Jura), Geneva is referred to as a republic within the Swiss Confederation. One of the most populated cantons, Genev ...
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Bern
german: Berner(in)french: Bernois(e) it, bernese , neighboring_municipalities = Bremgarten bei Bern, Frauenkappelen, Ittigen, Kirchlindach, Köniz, Mühleberg, Muri bei Bern, Neuenegg, Ostermundigen, Wohlen bei Bern, Zollikofen , website = www.bern.ch Bern () or Berne; in other Swiss languages, gsw, Bärn ; frp, Bèrna ; it, Berna ; rm, Berna is the ''de facto'' capital of Switzerland, referred to as the "federal city" (in german: Bundesstadt, link=no, french: ville fédérale, link=no, it, città federale, link=no, and rm, citad federala, link=no). According to the Swiss constitution, the Swiss Confederation intentionally has no "capital", but Bern has governmental institutions such as the Federal Assembly and Federal Council. However, the Federal Supreme Court is in Lausanne, the Federal Criminal Court is in Bellinzona and the Federal Administrative Court and the Federal Patent Court are in St. Gallen, exemplifying the federal nature of the Confederation. ...
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19th-century French 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 ...
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18th-century Mathematician From The Republic Of Geneva
The 18th century lasted from January 1, 1701 ( MDCCI) to December 31, 1800 ( MDCCC). During the 18th century, elements of Enlightenment thinking culminated in the American, French, and Haitian Revolutions. During the century, slave trading and human trafficking expanded across the shores of the Atlantic, while declining in Russia, China, and Korea. Revolutions began to challenge the legitimacy of monarchical and aristocratic power structures, including the structures and beliefs that supported slavery. The Industrial Revolution began during mid-century, leading to radical changes in human society and the environment. Western historians have occasionally defined the 18th century otherwise for the purposes of their work. For example, the "short" 18th century may be defined as 1715–1789, denoting the period of time between the death of Louis XIV of France and the start of the French Revolution, with an emphasis on directly interconnected events. To historians who ex ...
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