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Gergonne
Joseph Diez Gergonne (19 June 1771 at Nancy, France – 4 May 1859 at Montpellier, France) was a French mathematician and logician. Life In 1791, Gergonne enlisted in the French army as a captain. That army was undergoing rapid expansion because the French government feared a foreign invasion intended to undo the French Revolution and restore Louis XVI to the throne of France. He saw action in the major battle of Valmy on 20 September 1792. He then returned to civilian life but soon was called up again and took part in the French invasion of Spain in 1794. In 1795, Gergonne and his regiment were sent to Nîmes. At this point, he made a definitive transition to civilian life by taking up the chair of "transcendental mathematics" at the new École centrale. He came under the influence of Gaspard Monge, the Director of the new École polytechnique in Paris. In 1810, in response to difficulties he encountered in trying to publish his work, Gergonne founded his own mathematics jo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Duality (projective Geometry)
In geometry, a striking feature of projective planes is the symmetry of the roles played by points and lines in the definitions and theorems, and (plane) duality is the formalization of this concept. There are two approaches to the subject of duality, one through language () and the other a more functional approach through special mappings. These are completely equivalent and either treatment has as its starting point the axiomatic version of the geometries under consideration. In the functional approach there is a map between related geometries that is called a ''duality''. Such a map can be constructed in many ways. The concept of plane duality readily extends to space duality and beyond that to duality in any finite-dimensional projective geometry. Principle of duality A projective plane may be defined axiomatically as an incidence structure, in terms of a set of ''points'', a set of ''lines'', and an incidence relation that determines which points lie on which lines. Th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Annales De Gergonne
The ''Annales de Mathématiques Pures et Appliquées'', commonly known as the ''Annales de Gergonne'', was a mathematical journal published in Nimes, France from 1810 to 1831 by Joseph Diez Gergonne. The annals were largely devoted to geometry, with additional articles on history, philosophy, and mathematics education showing interdisciplinarity. "In the ''Annales'', Gergonne established in form and content a set of exceptionally high standards for mathematical journalism. New symbols and new terms to enrich mathematical literature are found here for the first time. The journal, which met with instant approval, became a model for many another editor. Cauchy, Poncelet, Brianchon, Steiner, Plucker, Crelle, Poisson, Ampere, Chasles, and Liouville sent articles for publication." Operational calculus was developed in the journal in 1814 by Francois-Joseph Servois. Francois-Joseph Servois (1814Analise Transcendante. Essai sur unNouveu Mode d'Exposition des Principes der Calcul Diff ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Annales De Mathématiques Pures Et Appliquées
The ''Annales de Mathématiques Pures et Appliquées'', commonly known as the ''Annales de Gergonne'', was a mathematical journal published in Nimes, France from 1810 to 1831 by Joseph Diez Gergonne. The annals were largely devoted to geometry, with additional articles on history, philosophy, and mathematics education showing interdisciplinarity. "In the ''Annales'', Gergonne established in form and content a set of exceptionally high standards for mathematical journalism. New symbols and new terms to enrich mathematical literature are found here for the first time. The journal, which met with instant approval, became a model for many another editor. Cauchy, Poncelet, Brianchon, Steiner, Plucker, Crelle, Poisson, Ampere, Chasles, and Liouville sent articles for publication." Operational calculus was developed in the journal in 1814 by Francois-Joseph Servois. Francois-Joseph Servois (1814Analise Transcendante. Essai sur unNouveu Mode d'Exposition des Principes der Calcul Diff ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jean-Victor Poncelet
Jean-Victor Poncelet (; 1 July 1788 – 22 December 1867) was a French engineer and mathematician who served most notably as the Commanding General of the École Polytechnique. He is considered a reviver of projective geometry, and his work ''Traité des propriétés projectives des figures'' is considered the first definitive text on the subject since Gérard Desargues' work on it in the 17th century. He later wrote an introduction to it: ''Applications d'analyse et de géométrie''. As a mathematician, his most notable work was in projective geometry, although an early collaboration with Charles Julien Brianchon provided a significant contribution to Feuerbach's theorem. He also made discoveries about projective harmonic conjugates; relating these to the poles and polar lines associated with conic sections. He developed the concept of parallel lines meeting at a point at infinity and defined the circular points at infinity that are on every circle of the plane. These discoverie ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nîmes
Nîmes ( , ; oc, Nimes ; Latin: ''Nemausus'') is the prefecture of the Gard department in the Occitanie region of Southern France. Located between the Mediterranean Sea and Cévennes, the commune of Nîmes has an estimated population of 148,561 (2019). Dubbed the most Roman city outside Italy, Nîmes has a rich history dating back to the Roman Empire when the city had a population of 50,000–60,000 and was the regional capital. Several famous monuments are in Nîmes, such as the Arena of Nîmes and the Maison Carrée. Because of this, Nîmes is often referred to as the " French Rome". Origins Nimes is situated where the alluvial plain of the Vistrenque River abuts the hills of Mont Duplan to the northeast, Montaury to the southwest, and to the west Mt. Cavalier and the knoll of Canteduc. Its name appears in inscriptions in Gaulish as ''dede matrebo Namausikabo'' ("he has given to the mothers of Nîmes") and "''toutios Namausatis''" ("citizen of Nîmes"). Nemausus was the ... [...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] |
François-Joseph Servois
François-Joseph Servois (born 19 July 1767 in Mont-de-Laval, Doubs, France; died 17 April 1847 in Mont-de-Laval, Doubs, France) was a French priest, military officer and mathematician. His most notable contribution came in his publication of Essai sur un nouveau mode d’exposition des principes du calcul différentiel (Essay on a system of exposition of the principles of differential calculus) in 1814, where he first introduced the mathematical terms for commutative and distributive. Life Servois was born on 18 July 1767 in Mont-de-Laval, France to Jacques-Ignace Servois, a local merchant, and Jeanne-Marie Jolliet. Not much is known about his early life except that he had at least one sibling, a sister with which he would eventually move in with after his retirement. He attended several religious schools in both Mont-de-Laval and Besançon with the intention of becoming a priest. He was ordained at Besançon near the beginning of the French Revolution. His life as a priest ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Étienne Bobillier
Étienne Bobillier (17 April 1798 – 22 March 1840) was a French mathematician. He was born in Lons-le-Saunier, France. At the age of 19 he was accepted into the École Polytechnique and studied there for a year. However, due to a shortage of money, in 1818 he became an instructor in mathematics at the École des Arts et Métiers in Châlons-sur-Marne. In 1829, he was sent to Angers to be director of studies. The following year he served in the national guard during the 1830 revolution. In 1832 he returned to Châlons after his post was abolished, and was promoted to professor. In 1836 he began suffering from health problems, but continued teaching; declining to take a leave to recuperate. As a result, he died in Châlons at the relatively early age of 41. He is noted for his work on geometry, particularly the algebraic treatment of geometric surfaces and the polars of curves. He also worked on statics and the catenary In physics and geometry, a catenary (, ) is the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jakob Steiner
Jakob Steiner (18 March 1796 Р1 April 1863) was a Swiss mathematician who worked primarily in geometry. Life Steiner was born in the village of Utzenstorf, Canton of Bern. At 18, he became a pupil of Heinrich Pestalozzi and afterwards studied at Heidelberg. Then, he went to Berlin, earning a livelihood there, as in Heidelberg, by tutoring. Here he became acquainted with A. L. Crelle, who, encouraged by his ability and by that of Niels Henrik Abel, then also staying at Berlin, founded his famous ''Journal'' (1826). After Steiner's publication (1832) of his ''Systematische Entwickelungen'' he received, through Carl Gustav Jacob Jacobi, who was then professor at K̦nigsberg University, and earned an honorary degree there; and through the influence of Jacobi and of the brothers Alexander and Wilhelm von Humboldt a new chair of geometry was founded for him at Berlin (1834). This he occupied until his death in Bern on 1 April 1863. He was described by Thomas Hirst as follows: ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Julius Plücker
Julius Plücker (16 June 1801 – 22 May 1868) was a German mathematician and physicist. He made fundamental contributions to the field of analytical geometry and was a pioneer in the investigations of cathode rays that led eventually to the discovery of the electron. He also vastly extended the study of Lamé curves. Biography Early years Plücker was born at Elberfeld (now part of Wuppertal). After being educated at Düsseldorf and at the universities of Bonn, Heidelberg and Berlin he went to Paris in 1823, where he came under the influence of the great school of French geometers, whose founder, Gaspard Monge, had only recently died. In 1825 he returned to Bonn, and in 1828 was made professor of mathematics. In the same year he published the first volume of his ''Analytisch-geometrische Entwicklungen'', which introduced the method of "abridged notation". In 1831 he published the second volume, in which he clearly established on a firm and independent basis projective ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematics
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians about a common definition for their academic discipline. Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them. These objects consist of either abstractions from nature orin modern mathematicsentities that are stipulated to have certain properties, called axioms. A ''proof'' consists of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, andin case of abstraction from naturesome basic properties that are considered true starting points of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Michel Chasles
Michel Floréal Chasles (; 15 November 1793 – 18 December 1880) was a French mathematician. Biography He was born at Épernon in France and studied at the École Polytechnique in Paris under Siméon Denis Poisson. In the War of the Sixth Coalition he was drafted to fight in the defence of Paris in 1814. After the war, he gave up on a career as an engineer or stockbroker in order to pursue his mathematical studies. In 1837 he published the book ''Aperçu historique sur l'origine et le développement des méthodes en géométrie'' ("Historical view of the origin and development of methods in geometry"), a study of the method of reciprocal polars in projective geometry. The work gained him considerable fame and respect and he was appointed Professor at the École Polytechnique in 1841, then he was awarded a chair at the Sorbonne in 1846. A second edition of this book was published in 1875. In 1839, Ludwig Adolph Sohncke (the father of Leonhard Sohncke) translated the original int ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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