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Karl Feuerbach
Karl Wilhelm Feuerbach (30 May 1800 – 12 March 1834) was a German geometer and the son of legal scholar Paul Johann Anselm Ritter von Feuerbach, and the brother of philosopher Ludwig Feuerbach. After receiving his doctorate at age 22, he became a professor of mathematics at the Gymnasium at Erlangen. In 1822 he wrote a small book on mathematics noted mainly for a theorem on the nine-point circle, which is now known as Feuerbach's theorem. In 1827 he introduced homogeneous coordinates In mathematics, homogeneous coordinates or projective coordinates, introduced by August Ferdinand Möbius in his 1827 work , are a system of coordinates used in projective geometry, just as Cartesian coordinates are used in Euclidean geometry. ..., independently of Möbius. Works * . ("Properties of some special points in the plane of a triangle, and various lines and figures determined by these points: an analytic-trigonometric treatment") *''Grundriss zu analytischen Untersuchungen de ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jena
Jena (; ) is a List of cities and towns in Germany, city in Germany and the second largest city in Thuringia. Together with the nearby cities of Erfurt and Weimar, it forms the central metropolitan area of Thuringia with approximately 500,000 inhabitants, while the city itself has a population of about 110,000. Jena is a centre of education and research. The University of Jena (formally the Friedrich Schiller University) was founded in 1558 and had 18,000 students in 2017 and the Ernst-Abbe-Hochschule Jena serves another 5,000 students. Furthermore, there are many institutes of the leading German research societies. Jena was first mentioned in 1182 and stayed a small town until the 19th century, when industry developed. For most of the 20th century, Jena was a world centre of the optical industry around companies such as Carl Zeiss AG, Carl Zeiss, Schott AG, Schott and Jenoptik (since 1990). As one of only a few medium-sized cities in Germany, it has some high-rise buildings in t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Gymnasium (school)
''Gymnasium'' (and Gymnasium (school)#By country, variations of the word) is a term in various European languages for a secondary school that prepares students for higher education at a university. It is comparable to the US English term ''University-preparatory school, preparatory high school'' or the British term ''grammar school''. Before the 20th century, the gymnasium system was a widespread feature of educational systems throughout many European countries. The word (), from Greek () 'naked' or 'nude', was first used in Ancient Greece, in the sense of a place for both physical and intellectual education of young men. The latter meaning of a place of intellectual education persisted in many European languages (including Albanian language, Albanian, Bulgarian language, Bulgarian, Czech language, Czech, Dutch language, Dutch, Estonian language, Estonian, Greek language, Greek, German language, German, Hungarian language, Hungarian, Macedonian language, Macedonian, Montene ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
German Lutherans
Protestantism (), a branch of Christianity, was founded within Germany in the 16th-century Reformation. It was formed as a new direction from some Catholic Church, Roman Catholic principles. It was led initially by Martin Luther and later by John Calvin. History The Protestant Reformation began with the publication of the ''Ninety-five Theses'' by Augustinian friar Martin Luther in 1517. The key element of this religious upheaval was a break from Roman Catholicism's emphasis on tradition, favouring a focus on the Bible. The lasting effects of Luther's Protestant movement within Germany was to question its existing power structures, imploring lay nobles for church reformation, critiquing the Roman mass, sacraments and seeking to reaffirm the importance of faith in good works. His subsequent excommunication from the Church ensured Germany had an ideological divide between Protestant sects and other Christian denominations. Another prominent reformer, Martin Bucer, introduced the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
People From Saxe-Weimar
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Writers From Jena
A writer is a person who uses written words in different writing styles, genres and techniques to communicate ideas, to inspire feelings and emotions, or to entertain. Writers may develop different forms of writing such as novels, short stories, monographs, travelogues, plays, screenplays, teleplays, songs, and essays as well as reports, educational material, and news articles that may be of interest to the general public. Writers' works are nowadays published across a wide range of media. Skilled writers who are able to use language to express ideas well, often contribute significantly to the cultural content of a society. The term "writer" is also used elsewhere in the arts and music, such as songwriter or a screenwriter, but also a stand-alone "writer" typically refers to the creation of written language. Some writers work from an oral tradition. Writers can produce material across a number of genres, fictional or non-fictional. Other writers use multiple media such a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1834 Deaths
Events January–March * January 1 – Zollverein (Germany): Customs charges are abolished at borders within its member states. * January 3 – The government of Mexico imprisons Stephen F. Austin in Mexico City. * January – The Wilmington and Raleigh Railroad is chartered in Wilmington, North Carolina. * February 3 – Wake Forest University is founded as the Wake Forest Manual Labor Institute in Wake Forest, North Carolina. * February 12 – Freed American slaves from Maryland form a settlement in Cape Palmas, it is named the Republic of Maryland. * February 13 – Robert Owen organizes the Grand National Consolidated Trades Union in the United Kingdom. * March 6 – York, Upper Canada, is incorporated as Toronto. * March 11 – The United States Survey of the Coast is transferred to the Department of the Navy. * March 14 – John Herschel discovers the open cluster of stars now known as NGC 3603, observing from the Cape of Good Hope. * March 28 – ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1800 Births
As of March 1 (Old Style, O.S. February 18), when the Julian calendar acknowledged a leap day and the Gregorian calendar did not, the Julian calendar fell one day further behind, bringing the difference to 12 days until February 28 (Old Style, O.S. February 16), 1900. Events January–March * January 1 ** Quasi-War: Action of 1 January 1800 – A naval battle off the coast of Haiti, between four United States merchant vessels escorted by naval schooner , and a squadron of armed barges manned by Haitian pirates (known as wikt:picaroon, picaroons), under the command of general André Rigaud, ends indecisively. ** The Dutch East India Company dissolves. * February 7 – A public 1800 French constitutional referendum, plebiscite in France confirms Napoleon as First Consul, by a substantial majority. * February 11 – Infrared radiation is discovered by astronomer Sir William Herschel. * February 22 – The Baker rifle, designed by Ezekiel Baker, is selected ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
August Ferdinand Möbius
August Ferdinand Möbius (, ; ; 17 November 1790 – 26 September 1868) was a German mathematician and theoretical astronomer. Life and education Möbius was born in Schulpforta, Electorate of Saxony, and was descended on his mother's side from religious reformer Martin Luther. He was home-schooled until he was 13, when he attended the college in Schulpforta in 1803, and studied there, graduating in 1809. He then enrolled at the University of Leipzig, where he studied astronomy under the mathematician and astronomer Karl Mollweide. In 1813, he began to study astronomy under mathematician Carl Friedrich Gauss at the University of Göttingen, while Gauss was the director of the Göttingen Observatory. From there, he went to study with Carl Gauss's instructor, Johann Pfaff, at the University of Halle, where he completed his doctoral thesis ''The occultation of fixed stars'' in 1815. In 1816, he was appointed as Extraordinary Professor to the "chair of astronomy and hi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Homogeneous Coordinates
In mathematics, homogeneous coordinates or projective coordinates, introduced by August Ferdinand Möbius in his 1827 work , are a system of coordinates used in projective geometry, just as Cartesian coordinates are used in Euclidean geometry. They have the advantage that the coordinates of points, including points at infinity, can be represented using finite coordinates. Formulas involving homogeneous coordinates are often simpler and more symmetric than their Cartesian counterparts. Homogeneous coordinates have a range of applications, including computer graphics and 3D computer vision, where they allow affine transformations and, in general, projective transformations to be easily represented by a matrix. They are also used in fundamental elliptic curve cryptography algorithms. If homogeneous coordinates of a point are multiplied by a non-zero scalar then the resulting coordinates represent the same point. Since homogeneous coordinates are also given to points at infini ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nine-point Circle
In geometry, the nine-point circle is a circle that can be constructed for any given triangle. It is so named because it passes through nine significant concyclic points defined from the triangle. These nine points are: * The midpoint of each side of the triangle * The foot of each altitude * The midpoint of the line segment from each vertex of the triangle to the orthocenter (where the three altitudes meet; these line segments lie on their respective altitudes). The nine-point circle is also known as Feuerbach's circle (after Karl Wilhelm Feuerbach), Euler's circle (after Leonhard Euler), Terquem's circle (after Olry Terquem), the six-points circle, the twelve-points circle, the -point circle, the medioscribed circle, the mid circle or the circum-midcircle. Its center is the nine-point center of the triangle. Nine Significant Points of Nine Point Circle The diagram above shows the nine significant points of the nine-point circle. Points are the midpoints of the thre ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematics
Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many areas of mathematics, which include number theory (the study of numbers), algebra (the study of formulas and related structures), geometry (the study of shapes and spaces that contain them), Mathematical analysis, analysis (the study of continuous changes), and set theory (presently used as a foundation for all mathematics). Mathematics involves the description and manipulation of mathematical object, abstract objects that consist of either abstraction (mathematics), abstractions from nature orin modern mathematicspurely abstract entities that are stipulated to have certain properties, called axioms. Mathematics uses pure reason to proof (mathematics), prove properties of objects, a ''proof'' consisting of a succession of applications of in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
