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Johann Gustav Hermes
Johann Gustav Hermes (20 June 1846 – 8 June 1912) was a German mathematician. Hermes is known for constructing 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 completed 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 Form ...
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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 def ...
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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 compass. 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 it 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, the o ...
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19th-century German Mathematicians
The 19th century began on 1 January 1801 (represented by the Roman numerals MDCCCI), and ended on 31 December 1900 (MCM). It was the 9th century of the 2nd millennium. It 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, expanded beyond its British homeland for the first time during the 19th century, particularly remaking the economies and societies of the Low Countries, France, 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 Catholic Church, in response to the growing influence and power of modernism, secularism and materialism, formed the First Vatican Council in the late 19th century to deal with such problems and confirm ce ...
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People From The Province Of Prussia
The term "the people" refers to the public or common mass of people of a polity. As such it is a concept of human rights law, international law as well as constitutional law, particularly used for claims of popular sovereignty. In contrast, a people is any plurality of persons considered as a whole. Used in politics and law, the term "a people" refers to the collective or community of an ethnic group or nation. Concepts Legal Chapter One, Article One of the Charter of the United Nations states that "peoples" have the right to self-determination. Though the mere status as peoples and the right to self-determination, as for example in the case of Indigenous peoples (''peoples'', as in all groups of indigenous people, not merely all indigenous persons as in ''indigenous people''), does not automatically provide for independent sovereignty and therefore secession. Indeed, judge Ivor Jennings identified the inherent problems in the right of "peoples" to self-determination, as i ...
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Scientists From Königsberg
A scientist is a person who researches 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 ( 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. History The roles of "scientists", and their predecessors before the emergence of modern scientific disciplines, have evolved considerably over time. Scientists of different eras (and before them, natural philosophers, mathematicians, natur ...
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1912 Deaths
This year is notable for Sinking of the Titanic, the sinking of the ''Titanic'', which occurred on April 15. In Albania, this leap year runs with only 353 days as the country achieved switching from the Julian to Gregorian Calendar by skipping 13 days. Friday, 30 November ''(Julian Calendar)'' immediately turned Saturday, 14 December 1912 ''(in the Gregorian Calendar)''. Events January * January 1 – The Republic of China (1912–49), Republic of China is established. * January 5 – The Prague Conference (6th All-Russian Conference of the Russian Social Democratic Labour Party) opens. * January 6 ** German Geophysics, geophysicist Alfred Wegener first presents his theory of continental drift. ** New Mexico becomes the 47th U.S. state. * January 8 – The African National Congress is founded as the South African Native National Congress, at the Waaihoek Wesleyan Church in Bloemfontein, to promote improved rights for Black people, black South Africans, with Joh ...
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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. * January 23 – Ahmad I ibn Mustafa, Bey of Tunis, declares the legal abolition of slavery in Tunisia. * February 4 – Led by Brigham Young, many Mormons in the U.S. begin their migration west from Nauvoo, Illinois, to the Great Salt Lake in what becomes Utah. * February 10 – First Anglo-Sikh war: Battle of Sobraon – British forces in India defeat the Sikhs. * February 18 – The Galician Peasant Uprising of 1846 begins in Austria. * February 19 – Texas annexation: 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 ...
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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 Gr ...
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Immanuel Kant
Immanuel Kant (born Emanuel Kant; 22 April 1724 – 12 February 1804) was a German Philosophy, philosopher and one of the central Age of Enlightenment, 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 and highly discussed figures in modern Western philosophy. In his doctrine of transcendental idealism, Kant argued that space and time are mere "forms of intuition" that structure all experience and that the objects of experience are mere "appearances". The nature of things as they are in themselves is unknowable to us. Nonetheless, in an attempt to counter the philosophical doctrine of Philosophical skepticism, skepticism, he wrote the ''Critique of Pure Reason'' (1781/1787), his best-known work. Kant drew a parallel to the Copernican Revolution#Immanuel Kant, Copernican Revolution in his proposal to think of the objects of experience as confo ...
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Philosophy
Philosophy ('love of wisdom' in Ancient Greek) is a systematic study of general and fundamental questions concerning topics like existence, reason, knowledge, Value (ethics and social sciences), value, mind, and language. It is a rational and critical inquiry that reflects on its methods and assumptions. Historically, many of the individual sciences, such as physics and psychology, formed part of philosophy. However, they are considered separate academic disciplines in the modern sense of the term. Influential traditions in the history of philosophy include Western philosophy, Western, Islamic philosophy, Arabic–Persian, Indian philosophy, Indian, and Chinese philosophy. Western philosophy originated in Ancient Greece and covers a wide area of philosophical subfields. A central topic in Arabic–Persian philosophy is the relation between reason and revelation. Indian philosophy combines the Spirituality, spiritual problem of how to reach Enlightenment in Buddhism, enlighten ...
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Categorical Imperative
The categorical imperative () is the central philosophical concept in the deontological Kantian ethics, moral philosophy of Immanuel Kant. Introduced in Kant's 1785 ''Groundwork of the Metaphysics 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 (philosophy), 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, rational being (Kantian ethics), rational 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) t ...
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