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Karl Adams (mathematician)
Karl Adams (1811 in Merscheid – 14 November 1849, in Winterthur) was a Swiss mathematician and teacher who specialised in synthetic geometry. Publications * ''Lehre von den Transversalen'', 1843 * ''Die harmonischen Verhältnisse'', 1845 * ''Die merkwürdigen Eigenschaften des geradlinigen Dreiecks'', 1846 * Das Malfattische Problem', 1846 and 1848, on the Malfatti circles * ''Geometrische Aufgaben mit besonderer Rücksicht auf geometrische ConstruCtion'', 1847 and 1849 Sources * ''Allgemeine Deutsche Biographie'' – online version at Wikisource Wikisource is an online digital library of free-content textual sources on a wiki, operated by the Wikimedia Foundation. Wikisource is the name of the project as a whole and the name for each instance of that project (each instance usually re ... 19th-century Swiss mathematicians Swiss schoolteachers Swiss Calvinist and Reformed Christians 1811 births 1849 deaths 19th-century Swiss educators {{Europe-mathemati ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Winterthur
, neighboring_municipalities = Brütten, Dinhard, Elsau, Hettlingen, Illnau-Effretikon, Kyburg, Lindau, Neftenbach, Oberembrach, Pfungen, Rickenbach, Schlatt, Seuzach, Wiesendangen, Zell , twintowns = Hall in Tirol (Austria), La Chaux-de-Fonds (Switzerland), Pilsen (Czech Republic), Yverdon-les-Bains (Switzerland) , website = stadt.winterthur.ch Winterthur (; french: Winterthour, lang) is a city in the canton of Zürich in northern Switzerland. With over 110,000 residents it is the country's sixth-largest city by population, and is the ninth-largest agglomeration with about 140,000 inhabitants. Located about northeast of Zürich, Winterthur is a service and high-tech industrial satellite city within Greater Zürich. The official language of Winterthur is German,The official language in any municipality in German-speaking Switzerland is always German. In this context, the term 'German' is used as an umbrella term for any variety of Germ ... [...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 = Federal assembly-independent directorial republic with elements of a direct democracy , leader_title1 = Federal Council , leader_name1 = , leader_title2 = , leader_name2 = Walter Thurnherr , legislature = Federal Assembly , upper_house = Council of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Synthetic Geometry
Synthetic geometry (sometimes referred to as axiomatic geometry or even pure geometry) is the study of geometry without the use of coordinates or formulae. It relies on the axiomatic method and the tools directly related to them, that is, compass and straightedge, to draw conclusions and solve problems. Only after the introduction of coordinate methods was there a reason to introduce the term "synthetic geometry" to distinguish this approach to geometry from other approaches. Other approaches to geometry are embodied in analytic and algebraic geometries, where one would use analysis and algebraic techniques to obtain geometric results. According to Felix Klein Synthetic geometry is that which studies figures as such, without recourse to formulae, whereas analytic geometry consistently makes use of such formulae as can be written down after the adoption of an appropriate system of coordinates. Geometry as presented by Euclid in the ''Elements'' is the quintessential example ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Malfatti Circles
In geometry, the Malfatti circles are three circles inside a given triangle such that each circle is tangent to the other two and to two sides of the triangle. They are named after Gian Francesco Malfatti, who made early studies of the problem of constructing these circles in the mistaken belief that they would have the largest possible total area of any three disjoint circles within the triangle. Malfatti's problem has been used to refer both to the problem of constructing the Malfatti circles and to the problem of finding three area-maximizing circles within a triangle. A simple construction of the Malfatti circles was given by , and many mathematicians have since studied the problem. Malfatti himself supplied a formula for the radii of the three circles, and they may also be used to define two triangle centers, the Ajima–Malfatti points of a triangle. The problem of maximizing the total area of three circles in a triangle is never solved by the Malfatti circles. Instead, t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Wikisource
Wikisource is an online digital library of free-content textual sources on a wiki, operated by the Wikimedia Foundation. Wikisource is the name of the project as a whole and the name for each instance of that project (each instance usually representing a different language); multiple Wikisources make up the overall project of Wikisource. The project's aim is to host all forms of free text, in many languages, and translations. Originally conceived as an archive to store useful or important historical texts (its first text was the ), it has expanded to become a general-content library. The project officially began on November 24, 2003 under the name Project Sourceberg, a play on the famous Project Gutenberg. The name Wikisource was adopted later that year and it received its own domain name. The project holds works that are either in the public domain or freely licensed; professionally published works or historical source documents, not vanity products. Verification was initi ... [...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] |
