Mathwords Page 12 appeared in the gergonne s journal after joseph D. gergonne (17711859), In 1813 J. Francais published a short piece in gergonne s Annales in which http://www.pballew.net/arithm12.html
Extractions: Back to Math Words Alphabetical Index Benford's Law If you looked in lots of reference books and found the areas of all the lakes on the Earth, about 30% of the numbers you would find would start with a 1. It doesn't even matter if some of the books gave area in square miles, others in hectares, and still others in square meters. This is one of the surprising results of Benfords Law . The same result would occur if you found the daily sales for all the Macdonald's franchises in the world, and again, it doesn't matter that some are in dollars and others in yen. The law is named for US Physicist Frank Benford who published a description of the effect in 1938. As you might have guessed, someone else did it earlier; a half century earlier. In 1881 a note to the American Journal of Mathematics by an American astronomer named Simon Newcomb described an unusual observation. He had noticed that the tables of logarithms that were in common use back then by astronomers, always had the pages of the lower numbers more dog-eared than the pages of the higher numbers. He suggested that natural observations tend to start with the number one more often than with an eight or nine. For some reason, the observation went without much comment. Years later Benford published data from an assortment of different areas, and the mathematical quirk of nature now bears his name. No reason was given for the unusual distribution until 1996, when Theodore Hill of the Georgia Institute of Technology published, what else, Hill's Theorem.
The Gergonne Point The gergonne Point, so named after the French mathematician joseph gergonne, isthe point of concurrency which results from connecting the vertices of a http://jwilson.coe.uga.edu/EMT668/EMT668.Folders.F97/Cowart/essay3/gergpoint.htm
Extractions: The Gergonne Point, so named after the French mathematician Joseph Gergonne, is the point of concurrency which results from connecting the vertices of a triangle to the opposite points of tangency of the triangle's incircle. This essay will prove the existence of this point for any triangle, explore its relationship to the Euler line, if any exist, and discuss the possible usefulness of this point. Most geometry students are familiar with the several points of concurrency and the steps necessary to construct such points. These might include some of the following points of concurrency (click for a GSP sketch illustration): perpendicular bisector point of concurrency (circumcenter) angle bisector point of concurrency (incenter) median point of concurrency (centroid) altitude point of concurrency (orthocenter) An illustration of these below: A GSP sketch of the Gergonne Point is shown below.
Tangent Circles The gergonne Solution. Long after this page was created, someone called my to Eric Weisstein s site, where he presents this solution by joseph gergonne. http://whistleralley.com/tangents/tangents.htm
Extractions: Tangent Circles In an earlier sketch, I tackled a classic problem of Apollonius: Construct a circle tangent to three arbitrary circles. I was later advised by an associate, John Del Grande, that my solution was incomplete. A circle may be seen as a point or a line, these being the limiting cases as the radius approaches zero or infinity. Rather than use three circles, we should be using any combination of three from points, lines, and circles. Dr. Del Grande listed all of the ten combinations in a textbook, Mathematics 12 , by J. J. Del Grande, G. F. D. Duff, and J. C. Egsgard (1965 W. J. Gage Limited). All of those combinations are presented here in Geometer's Sketchpad files. Some of them are quite complex. The files should display the solutions for every arrangement. Because of the limitations of the program, some of the solutions will disappear when they approach lines. All of the files observe these conventions. The independent objects are red. The dependent circles are blue. If an independent object is a circle, then it may be manipulated by moving its center, or by moving a point on the circle, which controls the radius. If the independent object is a line, then it is controlled by two points on the line. Independent points may be moved freely. At most, eight solutions.
The Science Bookstore - Chronology Plants and carbon dioxide joseph Priestley. gergonne, joseph Diez Born 6/19/1771Died 5/4/1859, 1771 AD. Trevithick, Richard Born 4/13/1771 http://www.thesciencebookstore.com/chron.asp?pg=9
List Of Mathematical Topics: Information From Answers.com Geometrization conjecture Geometry Geometry of numbers Geostatistics Gerbe gergonne, joseph Diaz gergonne point Germ (mathematics) http://www.answers.com/topic/list-of-mathematical-topics-g-i
Extractions: showHide_TellMeAbout2('false'); Business Entertainment Games Health ... More... On this page: Wikipedia Mentioned In Or search: - The Web - Images - News - Blogs - Shopping List of mathematical topics Wikipedia @import url(http://content.answers.com/main/content/wp/css/common.css); @import url(http://content.answers.com/main/content/wp/css/gnwp.css); List of mathematical topics (G-I) List of mathematical topics A B C ... Mathematicians G-delta set G-structure G G ... Gerbe Gergonne, Joseph Diaz Gergonne point Germ (mathematics) German mathematical society Gibbard-Satterthwaite theorem ... Golomb coding Golomb-Dickman constant Golomb ruler Gon Goodstein's theorem Googol ... Gudermannian function Gumbel, Eric Gyrate bidiminished rhombicosidodecahedron Gyrate rhombicosidodecahedron Gyrobifastigium Gyroelongated pentagonal bicupola ... Mathematicians H infinity H-principle H-space H-theorem ... Hadwiger's theorem Hafner-Sarnak-McCurley constant Hahn-Banach theorem Hahn embedding theorem Hahn-Jordan decomposition Hairy ball theorem ... Herbrand-Ribet theorem Herbrand theory Herbrand universe Hereditarily finite set Hermite interpolation Hermite polynomials ... Hestenes, David
1810: Information From Answers.com josephDiaz gergonne b. Nancy, France, June 19, 1771, d. Montpellier, France,May 4, 1859 starts the Annales de mathématiques pures et appliquées, http://www.answers.com/topic/1810
Extractions: showHide_TellMeAbout2('false'); Arts Business Entertainment Games ... More... On this page: US Literature Wikipedia Mentioned In Or search: - The Web - Images - News - Blogs - Shopping In the year Biology William Wollaston investigates Francesco Grimaldi's 17th-century discovery of sounds made by muscles by running a carriage over London streets until the pitch of its rumble is the same as that of the muscles. He concludes that human muscles all have a frequency of about 23 beats per second. Chemistry Augustin Jean Fresnel [b. Broglie, France, May 10, 1788, d. Paris, July 14, 1827] develops a method of making soda (sodium carbonate) using limestone and common salt. See also 1783 Chemistry 1835 Materials Communication The University of Berlin is founded. It is the first university in which the goal of research is more important than education. Most teaching is done via large lectures or in small seminars of advanced students. Berlin and other universities modeled on it will put Germany ahead in science during the 19th century. Russian-German physicist Thomas Johann Seebeck [b. Revel, (Estonia), April 9, 1770, d. Berlin, December 10, 1831] writes to Goethe that silver chloride exposed to light of a particular color tends to take on the color of the incident light.
Ceva's Theorem (This is known as the gergonne point, named after joseph Diaz gergonne (17711859).The ususal notation for the point is Ge.) http://www.cut-the-knot.com/Generalization/ceva.shtml
Extractions: Sites for parents Giovanni Ceva (1648-1734) proved a theorem bearing his name that is seldom mentioned in Elementary Geometry courses. It's a regrettable fact because not only it unifies several other more fortunate statements but its proof is actually as simple as that of the less general theorems. Additionally, the general approach affords, as is often the case, rich grounds for further meaningful explorations. In a triangle ABC, three lines AD, BE and CF intersect at a single point K if and only if (The lines that meet at a point are said to be concurrent Extend the lines BE and CF beyond the triangle until they meet GH, the line through A parallel to BC. There are several pairs of similar triangles: AHF and BCF, AEG and BCE, AGK and BDK, CDK and AHK. From these and in that order we derive the following proportions: AF/FB=AH/BC (*)
CURVE - LoveToKnow Article On CURVE Francois joseph Servois, and polar by joseph Diez gergonne (Gerg. ti and iii., In this memoir by gergonne, the theory of duality is very clearly and http://94.1911encyclopedia.org/C/CU/CURVE.htm
Extractions: CURVE (Lat. curvus, bent), a word commonly meaning a shape represented by a line bending continuously out of the straight without making an angle, but only properly to be defined in its geometrical sense in the terms set out below. This subject is treated here from an historical point of view, for the purpose of showing how the different leading ideas were successively arrived at and developed. I. A curve is a line, or continuous singly infinite system of points. We consider in the first instance, and chiefly, a plane curve described according to a law. Such a curve may be regarded geometrically as actually described, or kinematically as in the course of description by the motion of a point; in the former point of view, it is the locus of all the points which satisfy a given condition; in the latter, it is the locus of a point moving subject to a given condition. Thus the most simple and earliest known curve, the circle, is the locus of all the points at a given distance from a fixed centre, or else the locus of a point moving so as to be always at a given distance from a fixed centre. (The straight line and the point are not for the moment regarded as curves.) The Greek geometers invented other curves; in particular, the conchoid (q.v.), which is the locus of a point such that its distance from a given line, measured along the line drawn through it to a fixed point, is constant; and the cissoid (q.v.), which is the locus of a point such that its distance from a fixed point is always equal to the intercept (on the line through the fixed point) between a circle passing through the fixed point and the tangent to, the circle at the point opposite to the fixed point. Obviously the number of such geometrical or kinematical definitions is infinite. In a machine of any. kind, each point describes a curve; a simple but important instance is the three-bar curve, or locus of a point in or rigidly connected with a bar pivoted on to two other bars which rotate about fixed centres respectively. Every curve thus arbitrarily defined has its own properties; and there was not any principle of classification.
TRIANGLE GEOMETERS joseph Diaz gergonne (17711859) as in gergonne point Ludwig Kiepert (1846-1934)as in Kiepert hyperbola Emile Lemoine (1840-1912) as in Lemoine point (or http://faculty.evansville.edu/ck6/bstud/tg.html
Extractions: Euclid's Elements and other remnants from ancient Greek times contain theorems about triangles and descriptions of four triangle centers: centroid, incenter, circumcenter, and orthocenter. Later triangle geometers include Euler, Pascal, Ceva, and Feuerbach. In 1873, Emile Lemoine presented a paper "on a remarkable point of the triangle," now known as the Lemoine point or symmedian point. This paper, writes Nathan Altshiller Court ( College Geometry , page 304), "may be said to have laid the foundations...of the modern geometry of the triangle as a whole." Court also describes seminal papers by Henri Brocard and J. Neuberg and names Lemoine, Brocard, and Neuberg as the three co-founders of modern triangle geometry. An astonishing wave of interest and publications in triangle geometry swept through the last years of the 19th century and then collapsed during the early years of the 20th. However, many new gemstones in the fields of triangle geometry remained to be unearthed with new excavating tools, such as computers and methods from other areas of mathematics. All of this has led to the state of the art up to 1995, as described in Philip J. Davis
Earliest Known Uses Of Some Of The Words Of Mathematics (I) this term was introduced by josephDiaz gergonne (1771-1859) in Essai sur lathéorie (The Annales begun to be published by gergonne himself in 1810. http://members.aol.com/jeff570/i.html
Extractions: Earliest Known Uses of Some of the Words of Mathematics (I) Last revision: July 19, 2005 ICOSAHEDRON is found in English in Sir Henry Billingsley's 1570 translation of Euclid's Elements IDEAL (point or line) was introduced as by J. V. Poncelet in IDEAL (number theory) was introduced by Richard Dedekind (1831-1916) in P. G. L. Dirichlet (ed. 2, 1871) Suppl. x. 452 (OED2). IDEAL NUMBER. Ernst Eduard Kummer (1810-1893) introduced the term ideale zahl in 1846 in IDEMPOTENT and NILPOTENT were used by Benjamin Peirce (1809-1880) in 1870: When an expression raised to the square or any higher power vanishes, it may be called nilpotent; but when, raised to a square or higher power, it gives itself as the result, it may be called idempotent. The defining equation of nilpotent and idempotent expressions are respectively A n = 0, and A n A; but with reference to idempotent expressions, it will always be assumed that they are of the form A A, unless it be otherwise distinctly stated. This citation is excerpted from "Linear Associative Algebra," a memoir read by Benjamin Peirce before the National Academy of Sciences in Washington, 1870, and published by him as a lithograph in 1870. In 1881, Peirce's son, Charles S. Peirce, reprinted it in the American Journal of Mathematics.
Biography-center - Letter G Ganser, Sighert joseph Maria www.whonamedit.com/doctor.cfm/1310.html; Ganson,Art hur wwwhistory.mcs.st-and.ac.uk/~history/Mathematicians/gergonne.html http://www.biography-center.com/g.html
Extractions: random biography ! Any language Arabic Bulgarian Catalan Chinese (Simplified) Chinese (Traditional) Croatian Czech Danish Dutch English Estonian Finnish French German Greek Hebrew Hungarian Icelandic Indonesian Italian Japanese Korean Latvian Lithuanian Norwegian Polish Portuguese Romanian Russian Serbian Slovak Slovenian Spanish Swedish Turkish 559 biographies G adgil, Ashok
Mathematicians From DSB Translate this page gergonne, joseph Diaz, 1771-1859. Girard, Albert, 1595-1632. Glaisher, JamesWhitbread Lee, 1848-1928. Goldbach, Christian, 1690-1764 http://www.henrikkragh.dk/hom/dsb.htm
Extractions: Validate html For biographic details of Scandinavian mathematicians (and others), see my link page to DBL (Danish) or to NBL (Norwegian) Abel, Niels Henrik Ampère, André-Marie Argand, Jean Robert Arrhenius, Svante August Artin, Emil Beltrami, Eugenio Berkeley, George Bernoulli, Jakob I Bernoulli, Johann I Bertrand, Joseph Louis François Bessel, Friedrich Wilhelm Bianchi, Luigi Bjerknes, Carl Anton Bjerknes, Vilhelm Frimann Koren Bolyai, Farkas Bolyai, János Bolzano, Bernard Bombelli, Rafael Borchardt, Carl Wilhelm Borel, Émile Félix-Édouard-Justin Bouquet, Jean-Claude Briot, Charles Auguste Bérard, Jacques Étienne Bérard, Joseph Frédéric Cantor, Georg Carathéodory, Constantin Cardano, Girolamo Cauchy, Augustin-Louis Cayley, Arthur Chasles, Michel Chebyshev, Pafnuty Lvovich Clairaut, Alexis-Claude Clausen, Thomas Clebsch, Rudolf Friedrich Alfred Colden, Cadwallader
Mathematics Unbound Abstracts joseph Diez gergonne s periodical title, Annales de mathématiques pures etappliquées, was quite similar, and it is often considered the first mathematical http://www.math.virginia.edu/MathUnbound/abstracts.htm
Extractions: Acadia University (Canada) France's political transition from the Second Empire to the Third Republic was accompanied by a mathematical transition of which one remarkable feature is an increased interest in German research. In this period, French mathematicians not only studied German work, they absorbed aspects of its dominant values. The shift toward German-style pure mathematics is not mirrored in other aspects of cultural life, and special factors mediating these developments must be sought, the more so because of the anti-German sentiment in France following the Franco-Prussian War of 1870-1871. In this paper, I investigate the roles of Gaston Darboux and Charles Hermite in the dissemination of German work to French audiences. This was a multifaceted effort, involving the translation and publication of both abstracts and articles, the encouragement of theses on subjects of German origin, the reform of curriculum at the Paris and elsewhere, and the cultural recognition of German mathematicians through appointments to the
Historical Notes josephDiez gergonne (1771-1859) geometer who studied the point of concurrenceof lines joining the vertices of a triangle to the points of contact of the http://s13a.math.aca.mmu.ac.uk/Geometry/TriangleGeometry/HistoricalNotes.html
Extractions: Apollonius (c262-190 BC): Alexandrian geometer author of various books including the lost book on plane loci which is known from various commentators to have given the theorem about circles associated with the angle bisectors of a triangle. Bodenmiller (19th century re-discovered the theorem about the midpoints of diagonals of a quadrilateral now also ascribed to Gauss. Henri Brocard (1845-1922): discovered a number of properties associated with the points, triangles and circles now named after him. Giovanni Ceva (?1647-?1736): discovered theorems about points on the sides of a triangle (see glossary); the one for collinear points is now ascribed to the first century Alexandrian geometer, Menelaus. Leopold Crelle (1780-1855): engineer and editor of famous mathematical journal; he discovered various properties of triangles including the points now named after Brocard. He claimed that "it is wonderful that so simple a figure as the triangle is so inexhaustible". Euclid (c300 BC): author of the Elements the influential systematic account of geometry including many theorems about triangles. Leonhard Euler (1707-1783): prolific Swiss mathematician who established that certain special points of a triangle lay on a line - now named after him.
Le Point De Gergonne D'un Triangle Translate this page Le point de joseph gergonne (1771-1859). Soit un triangle ABC admettant le pointI comme centre du cercle inscrit. Ce cercle inscrit est tangent aux côtés http://www.jlsigrist.com/gergonne.html
List Of Scientists By Field Translate this page gergonne, joseph Diaz. Gerhardt, Charles Frédéric. Germain, Sophie. Germanus,Henricus Martellus. Gesell, Arnold Lucius. Gesner, Konrad. Gesner, Konrad http://www.indiana.edu/~newdsb/g.html
Extractions: Gabb, William More Gabor, Dennis Gabor, Dennis Gabriel, Siegmund Gadolin, Johan Gadolin, Johan Gaede, Wolfgang Gaertner, Joseph Gaertner, Karl Friedrich von Gaffky, Georg Theodor August Gaffky, Georg Theodor August Gagliardi, Domenico Gagliardi, Domenico Gahn, Johan Gottlieb Gahn, Johan Gottlieb Gaillot, Aimable Jean-Baptiste Gaillot, Aimable Jean-Baptiste Gaimard, Joseph Paul Gaimard, Joseph Paul Gaimard, Joseph Paul Gaines, Walter Lee Galeazzi, Domenico Gusmano Galeazzi, Domenico Gusmano Galeazzi, Domenico Gusmano Galen Galerkin, Boris Grigorievich Galerkin, Boris Grigorievich Galilei, Galileo Galilei, Galileo Galilei, Vincenzio Gall, Franz Joseph Gall, Franz Joseph Galle, Johann Gottfried Gallois, Jean Galois, Evariste Galton, Francis Galton, Francis Galton, Francis Galvani, Luigi Galvani, Luigi Galvani, Luigi Gamaleya, Nikolay Fyodorovich Gambey, Henri-Prudence Gamow, George Garbasso, Antonio Giorgio Garnett, Thomas Garnett, Thomas Garnot, Prosper Garnot, Prosper Garnot, Prosper Garnot, Prosper Garreau, Lazare Garrod, Archibald Edward Garrod, Archibald Edward
New Dictionary Of Scientific Biography Translate this page gergonne, joseph Diaz Germain, Sophie Ghetaldi, Marino Giorgi, Giovanni Girard,Albert Glaisher, James Whitbread Lee Güdel, Kurt Friedrich http://www.indiana.edu/~newdsb/math.html
Extractions: Over US$155,000 has been donated since the drive began on 19 August. Thank you for your generosity! Wikipedia:List of encyclopedia topics edit Clark Gable Gable, Clark William Naum Gabo ... Gabor, Dennis Zsa Zsa Gabor Gabor, Zsa Zsa Sari Gabor Emile Gaboriau ... Gaboriau, Emile Peter Gabriel Gabriel, Peter Giovanni Gabrieli Gabrieli, Giovanni John Wayne Gacy Gacy, John Wayne Johan Gadolin Gadolin, Johan ... Gaffky, Georg Theodor August Yuri Alekseyevich Gagarin Gagarin, Yuri Alekseyevich
List Of Geometers - Wikipedia, The Free Encyclopedia René Descartes invented the methodology analytic geometry joseph Diazgergonne gergonne point, projective geometry Girard Desargues (projective http://en.wikipedia.org/wiki/Geometers
Extractions: Over US$155,000 has been donated since the drive began on 19 August. Thank you for your generosity! (Redirected from Geometers A geometer is a mathematician whose area of study is geometry . Some important geometers and their main fields of work are: edit edit Retrieved from " http://en.wikipedia.org/wiki/List_of_geometers
Accueil joseph gergonne. http://www.math93.com/galois.htm
Extractions: Mort C'est au cours de l'année 1815 que le "règne" de Napoléon se termine. Il abdique pour la première fois le 6 avril 1814, Louis XVIII est alors élut roi par les Alliés et meurt en septembre 1824. C'est Charles X qui prend alors la succession. Haut Louis le Grand Son directeur écrit d'ailleurs à cet effet: " ." Son entourage commence à le trouver singulier, original, bizarre et fermé (il est étonnant de constater qu'un des mathématiciens les plus originaux ayant jamais existé fut critiqué pour son originalité). À la même époque, M. Venier rapporte sur le relevé de notes de Galois: "Intelligence, progrès marqués, mais pas assez de méthode." Louis Richard encourage Galois à publier ses premiers travaux ; un article (sur les fractions continues) paraît le 1er avril 1829, dans les "Annales de mathématiques", revue fondée par Joseph Gergonne.Toutefois, Galois délaisse de plus en plus ses travaux scolaires pour se concentrer sur ses recherches personnelles. Il étudie la Géométrie de Legendre et les traités de Lagrange.
