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Karl Mollweide
Karl Brandan Mollweide (3 February 1774 – 10 March 1825) was a German mathematician and astronomer who taught in Halle and Leipzig. In trigonometry, he discovered the formula known as Mollweide's formula. He invented a map projection called the Mollweide projection 400px, Mollweide projection of the world 400px, The Mollweide projection with Tissot's indicatrix of deformation The Mollweide projection is an equal-area, pseudocylindrical map projection generally used for maps of the world or celestial sph .... References External links * {{DEFAULTSORT:Mollweide, Karl 1774 births 1825 deaths People from Wolfenbüttel People from the Duchy of Brunswick 19th-century German mathematicians Members of the Göttingen Academy of Sciences and Humanities ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Karl Mollweide
Karl Brandan Mollweide (3 February 1774 – 10 March 1825) was a German mathematician and astronomer who taught in Halle and Leipzig. In trigonometry, he discovered the formula known as Mollweide's formula. He invented a map projection called the Mollweide projection 400px, Mollweide projection of the world 400px, The Mollweide projection with Tissot's indicatrix of deformation The Mollweide projection is an equal-area, pseudocylindrical map projection generally used for maps of the world or celestial sph .... References External links * {{DEFAULTSORT:Mollweide, Karl 1774 births 1825 deaths People from Wolfenbüttel People from the Duchy of Brunswick 19th-century German mathematicians Members of the Göttingen Academy of Sciences and Humanities ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Wolfenbüttel
Wolfenbüttel (; nds, Wulfenbüddel) is a town in Lower Saxony, Germany, the administrative capital of Wolfenbüttel District. It is best known as the location of the internationally renowned Herzog August Library and for having the largest concentration of timber-framed buildings in Germany. It is an episcopal see of the Evangelical Lutheran Church in Brunswick. It is also home to the Jägermeister distillery, houses a campus of the Ostfalia University of Applied Sciences, and the Landesmusikakademie of Lower Saxony. Geography The town center is located at an elevation of on the Oker river near the confluence with its Altenau tributary, about south of Brunswick and southeast of the state capital Hannover. Wolfenbüttel is situated about half-way between the Harz mountain range in the south and the Lüneburg Heath in the north. The Elm-Lappwald Nature Park and the Asse hill range stretch east and southeast of the town. With a population of about 52,000 people, Wolfe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mollweide's Formula
In trigonometry, Mollweide's formula is a pair of relationships between sides and angles in a triangle. A variant in more geometrical style was first published by Isaac Newton in 1707 and then by in 1746. Thomas Simpson published the now-standard expression in 1748. Karl Mollweide republished the same result in 1808 without citing those predecessors. It can be used to check the consistency of solutions of triangles.Ernest Julius Wilczynski, ''Plane Trigonometry and Applications'', Allyn and Bacon, 1914, page 105 Let ''a'', ''b'', and ''c'' be the lengths of the three sides of a triangle. Let ''α'', ''β'', and ''γ'' be the measures of the angles opposite those three sides respectively. Mollweide's formulas are : \begin \frac c = \frac , \\ 0mu \frac c = \frac . \end Relation to other trigonometric identities Because in a planar triangle \tfrac12\gamma = \tfrac12\pi - \tfrac12(\alpha + \beta), these identities can alternately be written in a form in which they ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
People From The Duchy Of Brunswick
A person ( : people) is a being that has certain capacities or attributes such as reason, morality, consciousness or self-consciousness, and being a part of a culturally established form of social relations such as kinship, ownership of property, or legal responsibility. The defining features of personhood and, consequently, what makes a person count as a person, differ widely among cultures and contexts. In addition to the question of personhood, of what makes a being count as a person to begin with, there are further questions about personal identity and self: both about what makes any particular person that particular person instead of another, and about what makes a person at one time the same person as they were or will be at another time despite any intervening changes. The plural form "people" is often used to refer to an entire nation or ethnic group (as in "a people"), and this was the original meaning of the word; it subsequently acquired its use as a plural form of per ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
People From Wolfenbüttel
A person ( : people) is a being that has certain capacities or attributes such as reason, morality, consciousness or self-consciousness, and being a part of a culturally established form of social relations such as kinship, ownership of property, or legal responsibility. The defining features of personhood and, consequently, what makes a person count as a person, differ widely among cultures and contexts. In addition to the question of personhood, of what makes a being count as a person to begin with, there are further questions about personal identity and self: both about what makes any particular person that particular person instead of another, and about what makes a person at one time the same person as they were or will be at another time despite any intervening changes. The plural form "people" is often used to refer to an entire nation or ethnic group (as in "a people"), and this was the original meaning of the word; it subsequently acquired its use as a plural form of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1825 Deaths
Eighteen or 18 may refer to: * 18 (number), the natural number following 17 and preceding 19 * one of the years 18 BC, AD 18, 1918, 2018 Film, television and entertainment * ''18'' (film), a 1993 Taiwanese experimental film based on the short story ''God's Dice'' * ''Eighteen'' (film), a 2005 Canadian dramatic feature film * 18 (British Board of Film Classification), a film rating in the United Kingdom, also used in Ireland by the Irish Film Classification Office * 18 (''Dragon Ball''), a character in the ''Dragon Ball'' franchise * "Eighteen", a 2006 episode of the animated television series ''12 oz. Mouse'' Music Albums * ''18'' (Moby album), 2002 * ''18'' (Nana Kitade album), 2005 * '' 18...'', 2009 debut album by G.E.M. Songs * "18" (5 Seconds of Summer song), from their 2014 eponymous debut album * "18" (One Direction song), from their 2014 studio album ''Four'' * "18", by Anarbor from their 2013 studio album '' Burnout'' * "I'm Eighteen", by Alice Cooper commonly ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1774 Births
Events January–March * January 21 – Mustafa III, Sultan of the Ottoman Empire, dies and is succeeded by his brother Abdul Hamid I. * January 27 ** An angry crowd in Boston, Massachusetts seizes, tars, and feathers British customs collector and Loyalist John Malcolm, for striking a boy and a shoemaker, George Hewes, with his cane. ** British industrialist John Wilkinson patents a method for boring cannon from the solid, subsequently utilised for accurate boring of steam engine cylinders. * February 3 – The Privy Council of Great Britain, as advisors to King George III, votes for the King's abolition of free land grants of North American lands. Henceforward, land is to be sold at auction to the highest bidder. * February 6 – France's Parliament votes a sentence of civil degradation, depriving Pierre Beaumarchais of all rights and duties of citizenship. * February 7 – The volunteer fire company of Trenton, New Jersey, predecessor to the paid Trenton Fire ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mollweide Projection
400px, Mollweide projection of the world 400px, The Mollweide projection with Tissot's indicatrix of deformation The Mollweide projection is an equal-area, pseudocylindrical map projection generally used for maps of the world or celestial sphere. It is also known as the Babinet projection, homalographic projection, homolographic projection, and elliptical projection. The projection trades accuracy of angle and shape for accuracy of proportions in area, and as such is used where that property is needed, such as maps depicting global distributions. The projection was first published by mathematician and astronomer Karl (or Carl) Brandan Mollweide (1774–1825) of Leipzig in 1805. It was reinvented and popularized in 1857 by Jacques Babinet, who gave it the name homalographic projection. The variation homolographic arose from frequent nineteenth-century usage in star atlases. Properties The Mollweide is a pseudocylindrical projection in which the equator is represented as a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Map Projection
In cartography, map projection is the term used to describe a broad set of transformations employed to represent the two-dimensional curved surface of a globe on a plane. In a map projection, coordinates, often expressed as latitude and longitude, of locations from the surface of the globe are transformed to coordinates on a plane. Projection is a necessary step in creating a two-dimensional map and is one of the essential elements of cartography. All projections of a sphere on a plane necessarily distort the surface in some way and to some extent. Depending on the purpose of the map, some distortions are acceptable and others are not; therefore, different map projections exist in order to preserve some properties of the sphere-like body at the expense of other properties. The study of map projections is primarily about the characterization of their distortions. There is no limit to the number of possible map projections. More generally, projections are considered in several fi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Trigonometry
Trigonometry () is a branch of mathematics that studies relationships between side lengths and angles of triangles. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies. The Greeks focused on the calculation of chords, while mathematicians in India created the earliest-known tables of values for trigonometric ratios (also called trigonometric functions) such as sine. Throughout history, trigonometry has been applied in areas such as geodesy, surveying, celestial mechanics, and navigation. Trigonometry is known for its many identities. These trigonometric identities are commonly used for rewriting trigonometrical expressions with the aim to simplify an expression, to find a more useful form of an expression, or to solve an equation. History Sumerian astronomers studied angle measure, using a division of circles into 360 degrees. They, and later the Babylonians, studied the ratios of the sides of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lower Saxony
Lower Saxony (german: Niedersachsen ; nds, Neddersassen; stq, Läichsaksen) is a German state (') in northwestern Germany. It is the second-largest state by land area, with , and fourth-largest in population (8 million in 2021) among the 16 ' federated as the Federal Republic of Germany. In rural areas, Northern Low Saxon and Saterland Frisian are still spoken, albeit in declining numbers. Lower Saxony borders on (from north and clockwise) the North Sea, the states of Schleswig-Holstein, Hamburg, , Brandenburg, Saxony-Anhalt, Thuringia, Hesse and North Rhine-Westphalia, and the Netherlands. Furthermore, the state of Bremen forms two enclaves within Lower Saxony, one being the city of Bremen, the other its seaport, Bremerhaven (which is a semi-enclave, as it has a coastline). Lower Saxony thus borders more neighbours than any other single '. The state's largest cities are state capital Hanover, Braunschweig (Brunswick), Lüneburg, Osnabrück, Oldenburg, Hildesheim, Salzgitt ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Halle (Saale)
Halle (Saale), or simply Halle (; from the 15th to the 17th century: ''Hall in Sachsen''; until the beginning of the 20th century: ''Halle an der Saale'' ; from 1965 to 1995: ''Halle/Saale'') is the largest city of the Germany, German States of Germany, state of Saxony-Anhalt, the fifth most populous city in the area of former East Germany after (East Berlin, East) Berlin, Leipzig, Dresden and Chemnitz, as well as the List of cities in Germany by population, 31st largest city of Germany, and with around 239,000 inhabitants, it is slightly more populous than the state capital of Magdeburg. Together with Leipzig, the largest city of Saxony, Halle forms the polycentric Leipzig-Halle conurbation. Between the two cities, in Schkeuditz, lies Leipzig/Halle Airport, Leipzig/Halle International Airport. The Leipzig-Halle conurbation is at the heart of the larger Central German Metropolitan Region. Halle lies in the south of Saxony-Anhalt, in the Leipzig Bay, the southernmost part of the N ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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