Johann Gustav Hermes
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Johann Gustav Hermes
Johann Gustav Hermes (20 June 1846 – 8 June 1912) was a German mathematician. Hermes is known for completion of a polygon with 65,537 sides. Early life On 20 June 1846, Hermes was born in Königsberg, a former German city (presently Kaliningrad, Russia). Hermes was educated at the Kneiphöfischen Gymnasium. He undertook his ''Abitur'' (final examination) at the school in 1866. After completing his secondary education, he studied mathematics from 1866 to 1870, mostly in Königsberg. His studies were interrupted due to his participation in the Franco-Prussian War between 1870 and 1871. Education On 14 December 1872, Hermes complete his studies and earned a degree in mathematics. On 5 April 1879, Hermes received a doctorate degree and his dissertation was on the "Reduction of the problem of cyclotomy on linear equations (for prime numbers of the form 2''m''+1)" (German: "''Zurückführung des Problems der Kreistheilung auf lineare Gleichungen (für Primzahlen von der For ...
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Das Fotoalbum Für Weierstraß 025 (Johann Gustav Hermes)
Das or DAS may refer to: Organizations * Dame Allan's Schools, Fenham, Newcastle upon Tyne, England * Danish Aviation Systems, a supplier and developer of unmanned aerial vehicles * Departamento Administrativo de Seguridad, a former Colombian intelligence agency * Department of Applied Science, UC Davis * ''Debt Arrangement Scheme'', Scotland, see Accountant in Bankruptcy Places * Das (crater), a lunar impact crater on the far side of the Moon * Das (island), an Emirati island in the Persian Gulf ** Das Island Airport * Das, Catalonia, a village in the Cerdanya, Spain * Das, Iran, a village in Razavi Khorasan Province * Great Bear Lake Airport, Northwest Territories, Canada (IATA code) Science * 1,2-Bis(dimethylarsino)benzene, a chemical compound * DAS28, Disease Activity Score of 28 joints, rheumatoid arthritis measure * Differential Ability Scales, cognitive and achievement tests Technology * Data acquisition system * Defensive aids system, an aircraft defensive system * D ...
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Compass And Straightedge Constructions
In geometry, straightedge-and-compass construction – also known as ruler-and-compass construction, Euclidean construction, or classical construction – is the construction of lengths, angles, and other geometric figures using only an idealized ruler and a pair of compasses. The idealized ruler, known as a straightedge, is assumed to be infinite in length, have only one edge, and no markings on it. The compass is assumed to have no maximum or minimum radius, and is assumed to "collapse" when lifted from the page, so may not be directly used to transfer distances. (This is an unimportant restriction since, using a multi-step procedure, a distance can be transferred even with a collapsing compass; see compass equivalence theorem. Note however that whilst a non-collapsing compass held against a straightedge might seem to be equivalent to marking it, the neusis construction is still impermissible and this is what unmarked really means: see Markable rulers below.) More formally, ...
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Scientists From Königsberg
A scientist is a person who conducts scientific research to advance knowledge in an area of the natural sciences. In classical antiquity, there was no real ancient analog of a modern scientist. Instead, philosophers engaged in the philosophical study of nature called natural philosophy, a precursor of natural science. Though Thales (circa 624-545 BC) was arguably the first scientist for describing how cosmic events may be seen as natural, not necessarily caused by gods,Frank N. Magill''The Ancient World: Dictionary of World Biography'', Volume 1 Routledge, 2003 it was not until the 19th century that the term ''scientist'' came into regular use after it was coined by the theologian, philosopher, and historian of science William Whewell in 1833. In modern times, many scientists have advanced degrees in an area of science and pursue careers in various sectors of the economy such as academia, industry, government, and nonprofit environments.'''' History The roles ...
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German Military Personnel Of The Franco-Prussian War
German(s) may refer to: * Germany (of or related to) ** Germania (historical use) * Germans, citizens of Germany, people of German ancestry, or native speakers of the German language ** For citizens of Germany, see also German nationality law **Germanic peoples (Roman times) * German language **any of the Germanic languages * German cuisine, traditional foods of Germany People * German (given name) * German (surname) * Germán, a Spanish name Places * German (parish), Isle of Man * German, Albania, or Gërmej * German, Bulgaria * German, Iran * German, North Macedonia * German, New York, U.S. * Agios Germanos, Greece Other uses * German (mythology), a South Slavic mythological being * Germans (band), a Canadian rock band * "German" (song), a 2019 song by No Money Enterprise * ''The German'', a 2008 short film * "The Germans", an episode of ''Fawlty Towers'' * ''The German'', a nickname for Congolese rebel André Kisase Ngandu See also * Germanic (other) * ...
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19th-century German 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 S ...
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1912 Deaths
Year 191 ( CXCI) was a common year starting on Friday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Apronianus and Bradua (or, less frequently, year 944 ''Ab urbe condita''). The denomination 191 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 Parthia * King Vologases IV of Parthia dies after a 44-year reign, and is succeeded by his son Vologases V. China * A coalition of Chinese warlords from the east of Hangu Pass launches a punitive campaign against the warlord Dong Zhuo, who seized control of the central government in 189, and held the figurehead Emperor Xian hostage. After suffering some defeats against the coalition forces, Dong Zhuo forcefully relocates the imperial capital from Luoyang to Chang'an. Before leaving, Dong Zhuo orders his troops to loot the tombs of the H ...
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1846 Births
Events January–March * January 5 – The United States House of Representatives votes to stop sharing the Oregon Country with the United Kingdom. * January 13 – The Milan–Venice railway's bridge, over the Venetian Lagoon between Mestre and Venice in Italy, opens, the world's longest since 1151. * February 4 – Many Mormons begin their migration west from Nauvoo, Illinois, to the Great Salt Lake, led by Brigham Young. * February 10 – First Anglo-Sikh War: Battle of Sobraon – British forces defeat the Sikhs. * February 18 – The Galician slaughter, a peasant revolt, begins. * February 19 – United States president James K. Polk's annexation of the Republic of Texas is finalized by Texas president Anson Jones in a formal ceremony of transfer of sovereignty. The newly formed Texas state government is officially installed in Austin. * February 20– 29 – Kraków uprising: Galician slaughter – Polish nationalists stage an uprising in the Free City ...
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List Of Polygons
In geometry, a polygon is traditionally a plane figure that is bounded by a finite chain of straight line segments closing in a loop to form a closed chain. These segments are called its ''edges'' or ''sides'', and the points where two of the edges meet are the polygon's '' vertices'' (singular: vertex) or ''corners''. The word ''polygon'' comes from Late Latin ''polygōnum'' (a noun), from Greek πολύγωνον (''polygōnon/polugōnon''), noun use of neuter of πολύγωνος (''polygōnos/polugōnos'', the masculine adjective), meaning "many-angled". Individual polygons are named (and sometimes classified) according to the number of sides, combining a Greek-derived numerical prefix with the suffix ''-gon'', e.g. '' pentagon'', ''dodecagon''. The triangle, quadrilateral and nonagon are exceptions, although the regular forms ''trigon'', ''tetragon'', and ''enneagon'' are sometimes encountered as well. Greek numbers Polygons are primarily named by prefixes from Ancient ...
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Immanuel Kant
Immanuel Kant (, , ; 22 April 1724 – 12 February 1804) was a German philosopher and one of the central Enlightenment thinkers. Born in Königsberg, Kant's comprehensive and systematic works in epistemology, metaphysics, ethics, and aesthetics have made him one of the most influential figures in modern Western philosophy. In his doctrine of transcendental idealism, Kant argued that space and time are mere "forms of intuition" which structure all experience, and therefore that, while " things-in-themselves" exist and contribute to experience, they are nonetheless distinct from the objects of experience. From this it follows that the objects of experience are mere "appearances", and that the nature of things as they are in themselves is unknowable to us. In an attempt to counter the skepticism he found in the writings of philosopher David Hume, he wrote the '' Critique of Pure Reason'' (1781/1787), one of his most well-known works. In it, he developed his theory of ...
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Philosophy
Philosophy (from , ) is the systematized study of general and fundamental questions, such as those about existence, reason, knowledge, values, mind, and language. Such questions are often posed as problems to be studied or resolved. Some sources claim the term was coined by Pythagoras ( BCE), although this theory is disputed by some. Philosophical methods include questioning, critical discussion, rational argument, and systematic presentation. in . Historically, ''philosophy'' encompassed all bodies of knowledge and a practitioner was known as a ''philosopher''."The English word "philosophy" is first attested to , meaning "knowledge, body of knowledge." "natural philosophy," which began as a discipline in ancient India and Ancient Greece, encompasses astronomy, medicine, and physics. For example, Newton's 1687 ''Mathematical Principles of Natural Philosophy'' later became classified as a book of physics. In the 19th century, the growth of modern research universiti ...
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Categorical Imperative
The categorical imperative (german: kategorischer Imperativ) is the central philosophical concept in the deontological moral philosophy of Immanuel Kant. Introduced in Kant's 1785 ''Groundwork of the Metaphysic of Morals'', it is a way of evaluating motivations for action. It is best known in its original formulation: "Act only according to that maxim whereby you can, at the same time, will that it should become a universal law."It is standard to also reference the ''Akademie Ausgabe'' of Kant's works. The ''Groundwork'' occurs in the fourth volume. Citations throughout this article follow the format 4:x. For example, the above citation is taken from 4:421. According to Kant, sentient beings occupy a special place in creation, and morality can be summed up in an imperative, or ultimate commandment of reason, from which all duties and obligations derive. He defines an ''imperative'' as any proposition declaring a certain action (or inaction) to be necessary. Hypothetical imperati ...
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