|
Karl Von Staudt
Karl Georg Christian von Staudt (24 January 1798 – 1 June 1867) was a German mathematician who used synthetic geometry to provide a foundation for arithmetic. Life and influence Karl was born in the Free Imperial City of Rothenburg, which is now called Rothenburg ob der Tauber in Germany. From 1814 he studied in Gymnasium in Ausbach. He attended the University of Göttingen from 1818 to 1822 where he studied with Gauss who was director of the observatory. Staudt provided an ephemeris for the orbits of Mars and the asteroid 2 Pallas, Pallas. When in 1821 Comet Nicollet-Pons was observed, he provided the elements of its orbit. These accomplishments in astronomy earned him his doctorate from University of Erlangen in 1822. Staudt's professional career began as a secondary school instructor in Würzburg until 1827 and then Nuremberg until 1835. He married Jeanette Dreschler in 1832. They had a son Eduard and daughter Mathilda, but Jeanette died in 1848. The book ''Geometrie der L ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Imperial City Of Rothenburg
Rothenburg ob der Tauber () is a town in the district of Ansbach (district), Ansbach of Mittelfranken (Middle Franconia), the Franconia region of Bavaria, Germany. It is well known for its well-preserved Middle Ages, medieval old town, a destination for tourists from around the world. It is part of the popular Romantic Road through southern Germany. Today it is one of only three towns in Germany that still have completely intact city walls, the other two being Nördlingen and Dinkelsbühl, both also in Bavaria. Rothenburg was a free imperial city from the late Middle Ages to 1803. In 1884 Johann Friedrich (von) Hessing (1838–1918) built ''Wildbad Rothenburg o.d.T.'' 1884–1903. Name The name "Rothenburg ob der Tauber" is German language, German for "Red castle above the Tauber". This is so because the town is located on a plateau overlooking the Tauber River. As to the name "Rothenburg", some say it comes from the German words ''rot'' (red) and ''burg'' (burgh, medieval fort ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Asteroid
An asteroid is a minor planet of the inner Solar System. Sizes and shapes of asteroids vary significantly, ranging from 1-meter rocks to a dwarf planet almost 1000 km in diameter; they are rocky, metallic or icy bodies with no atmosphere. Of the roughly one million known asteroids the greatest number are located between the orbits of Mars and Jupiter, approximately 2 to 4 AU from the Sun, in the main asteroid belt. Asteroids are generally classified to be of three types: C-type, M-type, and S-type. These were named after and are generally identified with carbonaceous, metallic, and silicaceous compositions, respectively. The size of asteroids varies greatly; the largest, Ceres, is almost across and qualifies as a dwarf planet. The total mass of all the asteroids combined is only 3% that of Earth's Moon. The majority of main belt asteroids follow slightly elliptical, stable orbits, revolving in the same direction as the Earth and taking from three to six years to comple ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bryn Mawr College
Bryn Mawr College ( ; Welsh: ) is a women's liberal arts college in Bryn Mawr, Pennsylvania. Founded as a Quaker institution in 1885, Bryn Mawr is one of the Seven Sister colleges, a group of elite, historically women's colleges in the United States, and the Tri-College Consortium along with Haverford College and Swarthmore College. The college has an enrollment of about 1,350 undergraduate students and 450 graduate students. It was the first women's college to offer graduate education through a PhD. History Bryn Mawr College is a private women's liberal arts college founded in 1885. The phrase literally means 'large hill' in Welsh. The Graduate School is co-educational. It is named after the town of Bryn Mawr, in which the campus is located, which had been renamed by a representative of the Pennsylvania Railroad. Bryn Mawr was the name of an area estate granted to Rowland Ellis by William Penn in the 1680s. Ellis's former home, also called Bryn Mawr, was a house near Dolge ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Charlotte Scott
Charlotte Angas Scott (8 June 1858 – 10 November 1931) was a British mathematician who made her career in the United States and was influential in the development of American mathematics, including the mathematical education of women. Scott played an important role in Cambridge changing the rules for its famous Mathematical Tripos exam. Early life She was the second of seven children to Caleb Scott, a minister of the Congregational Church, and Eliza Exley Scott. Educated at Girton College, Cambridge from 1876 to 1880 on a scholarship, she was then a Resident Lecturer in Mathematics there until 1884. In 1885 she became one of the first British women to receive a doctorate, and the first British woman to receive a doctorate in mathematics, which she received from the University of London. She did her graduate research under Arthur Cayley at Cambridge University, but since Cambridge did not begin issuing degrees to women until 1948, Scott received her BSc (1882) and D.Sc. (1885) ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Projective Harmonic Conjugate
In projective geometry, the harmonic conjugate point of an ordered triple of points on the real projective line is defined by the following construction: :Given three collinear points , let be a point not lying on their join and let any line through meet at respectively. If and meet at , and meets at , then is called the harmonic conjugate of with respect to . The point does not depend on what point is taken initially, nor upon what line through is used to find and . This fact follows from Desargues theorem. In real projective geometry, harmonic conjugacy can also be defined in terms of the cross-ratio as . Cross-ratio criterion The four points are sometimes called a harmonic range (on the real projective line) as it is found that always divides the segment ''internally'' in the same proportion as divides ''externally''. That is: :, AC, :, BC, = , AD, :, DB, \, . If these segments are now endowed with the ordinary metric interpretation of real num ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Complete Quadrangle
In mathematics, specifically in incidence geometry and especially in projective geometry, a complete quadrangle is a system of geometric objects consisting of any four Point (geometry), points in a Plane (geometry), plane, no three of which are Collinearity, on a common line, and of the six Line (geometry), lines connecting the six pairs of points. Duality (projective geometry), Dually, a ''complete quadrilateral'' is a system of four lines, no three of which pass through the same point, and the six points of Line–line intersection, intersection of these lines. The complete quadrangle was called a tetrastigm by , and the complete quadrilateral was called a tetragram; those terms are occasionally still used. Diagonals The six lines of a complete quadrangle meet in pairs to form three additional points called the ''diagonal points'' of the quadrangle. Similarly, among the six points of a complete quadrilateral there are three pairs of points that are not already connected by line ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
American Council Of Learned Societies
American(s) may refer to: * American, something of, from, or related to the United States of America, commonly known as the "United States" or "America" ** Americans, citizens and nationals of the United States of America ** American ancestry, people who self-identify their ancestry as "American" ** American English, the set of varieties of the English language native to the United States ** Native Americans in the United States, indigenous peoples of the United States * American, something of, from, or related to the Americas, also known as "America" ** Indigenous peoples of the Americas * American (word), for analysis and history of the meanings in various contexts Organizations * American Airlines, U.S.-based airline headquartered in Fort Worth, Texas * American Athletic Conference, an American college athletic conference * American Recordings (record label), a record label previously known as Def American * American University, in Washington, D.C. Sports teams Soccer * ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dictionary Of Scientific Biography
The ''Dictionary of Scientific Biography'' is a scholarly reference work that was published from 1970 through 1980 by publisher Charles Scribner's Sons, with main editor the science historian Charles Gillispie, from Princeton University. It consisted of sixteen volumes. It is supplemented by the ''New Dictionary of Scientific Biography''. Both these publications are included in a later electronic book, called the ''Complete Dictionary of Scientific Biography''. ''Dictionary of Scientific Biography'' The ''Dictionary of Scientific Biography'' is a scholarly English-language reference work consisting of biographies of scientists from antiquity to modern times, but excluding scientists who were alive when the ''Dictionary'' was first published. It includes scientists who worked in the areas of mathematics, physics, chemistry, biology, and earth sciences. The work is notable for being one of the most substantial reference works in the field of history of science, containing extens ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Projective Geometry
In mathematics, projective geometry is the study of geometric properties that are invariant with respect to projective transformations. This means that, compared to elementary Euclidean geometry, projective geometry has a different setting, projective space, and a selective set of basic geometric concepts. The basic intuitions are that projective space has more points than Euclidean space, for a given dimension, and that geometric transformations are permitted that transform the extra points (called "points at infinity") to Euclidean points, and vice-versa. Properties meaningful for projective geometry are respected by this new idea of transformation, which is more radical in its effects than can be expressed by a transformation matrix and translations (the affine transformations). The first issue for geometers is what kind of geometry is adequate for a novel situation. It is not possible to refer to angles in projective geometry as it is in Euclidean geometry, because angle is ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nuremberg
Nuremberg ( ; german: link=no, Nürnberg ; in the local East Franconian dialect: ''Nämberch'' ) is the second-largest city of the German state of Bavaria after its capital Munich, and its 518,370 (2019) inhabitants make it the 14th-largest city in Germany. On the Pegnitz River (from its confluence with the Rednitz in Fürth onwards: Regnitz, a tributary of the River Main) and the Rhine–Main–Danube Canal, it lies in the Bavarian administrative region of Middle Franconia, and is the largest city and the unofficial capital of Franconia. Nuremberg forms with the neighbouring cities of Fürth, Erlangen and Schwabach a continuous conurbation with a total population of 800,376 (2019), which is the heart of the urban area region with around 1.4 million inhabitants, while the larger Nuremberg Metropolitan Region has approximately 3.6 million inhabitants. The city lies about north of Munich. It is the largest city in the East Franconian dialect area (colloquially: "F ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Würzburg
Würzburg (; Main-Franconian: ) is a city in the region of Franconia in the north of the German state of Bavaria. Würzburg is the administrative seat of the ''Regierungsbezirk'' Lower Franconia. It spans the banks of the Main River. Würzburg is situated approximately east-southeast of Frankfurt am Main and approximately west-northwest of Nuremberg (). The population (as of 2019) is approximately 130,000 residents. The administration of the ''Landkreis Würzburg'' ( district of Würzburg) is also located in the town. The regional dialect is East Franconian. History Early and medieval history A Bronze Age (Urnfield culture) refuge castle, the Celtic Segodunum,Koch, John T. (2020)CELTO-GERMANIC Later Prehistory and Post-Proto-Indo-European vocabulary in the North and West p. 131 and later a Roman fort, stood on the hill known as the Leistenberg, the site of the present Fortress Marienberg. The former Celtic territory was settled by the Alamanni in the 4th or 5th century ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Astronomy
Astronomy () is a natural science that studies astronomical object, celestial objects and phenomena. It uses mathematics, physics, and chemistry in order to explain their origin and chronology of the Universe, evolution. Objects of interest include planets, natural satellite, moons, stars, nebulae, galaxy, galaxies, and comets. Relevant phenomena include supernova explosions, gamma ray bursts, quasars, blazars, pulsars, and cosmic microwave background radiation. More generally, astronomy studies everything that originates beyond atmosphere of Earth, Earth's atmosphere. Cosmology is a branch of astronomy that studies the universe as a whole. Astronomy is one of the oldest natural sciences. The early civilizations in recorded history made methodical observations of the night sky. These include the Babylonian astronomy, Babylonians, Greek astronomy, Greeks, Indian astronomy, Indians, Egyptian astronomy, Egyptians, Chinese astronomy, Chinese, Maya civilization, Maya, and many anc ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
