Base Palissy - Auteurs / Créateurs Translate this page Gerbert A. Gerbini joseph Gerdolle Gerdolle Jean-Baptiste Gerdolle Jean fils GerdyS. Gerdy Sébastien Gérente Alfred Gérente Henri gergonne Jean Alexandre http://www.culture.fr/documentation/palissy/AUTR/autr_059.htm
Isogons The symmedians are related to another triangle center called the gergonnepoint, named for joseph gergonne (17711859). A very short http://www.pballew.net/isogon.html
Extractions: Isogonic is a related word that describes a type of symmetry between lines, passing through the vertex of an angle, and the angle bisector. In the figure Angle ABC is shown with its bisector BB'. The rays BX and BY are isogonal because they make the same angle with the angle Bisector. We often say that one is the isogonal reflection of the other, but it should be clear that if L2 is the isogonic reflection of L1, then L1 is the isogonic reflection for L2. Two points on these rays, such as X and Y, are called isogonal points. If three lines in a triangle are concurrent , then their isogonic lines are also concurrent. In the figure the Red segments AA', BB', and CC' intersect at Point X. The three blue rays are the isogonic lines for the three Red Segments, which are reflected about the angle bisectors (dashed rays). Blue Rays intersect in a single point also, labled X'. Points X and X' are called isogonal conjugates One famous pair of isogonal conjugates is the orthocenter (intersection of the altitudes) and the circumcenter (center of the circle which circumscribes a triangle). If you draw any triangle and find these two points (lets call them P and Q), then draw the angle bisector from any vertex of the triangle (which we will call AX, you will see that the angles PAX and QAX are congruent.
Full Alphabetical Index Henry (199) Geminus (1381) Gemma Frisius, Regnier (553*) Genocchi, Angelo (858)Gentzen, Gerhard (277*) Gerard of Cremona (668) gergonne, joseph (75) Gerhard http://alas.matf.bg.ac.yu/~mm97106/math/alphalist.htm
Index Des Noms Commençant Par G Translate this page 1879 Sommedieue,55320,Meuse, France ) GEINDRE, Claude joseph (18 mars Bas-Rhin, France) GERGES, Nicolas ( - ) GERGON, Jean ( - ) gergonne, Anne ( - ) gergonne http://www.ifrance.com/genhope/famille/idx470.htm
Informations Généalogiques Translate this page et Moselle, France Parents Père JACQUET, Dominique Mère gergonne, Anne Enfant lesConflans,54,Meurthe et Moselle, France LE LABRIET, joseph Sexe Masculin http://www.ifrance.com/genhope/famille/dat5.htm
TRIANGLE GEOMETERS 17071783), as in Euler line Karl Wilhelm Feuerbach (1800-1834), as in Feuerbachtheorem joseph Diaz gergonne (1771-1859) as in gergonne point Ludwig Kiepert http://faculty.evansville.edu/ck6/bstud/tg.html
Extractions: Euclid's Elements and other remnants of 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. A huge wave of interest and publications in triangle geometry swept through the last years of the 19th century but then collapsed during the early years of the 20th. Twenty-first century interests and transfigurations in triangle geometry are described in Philip J. Davis
Ceva's Theorem Then the lines AD, BE and CF intersect at one point. (This is known as thegergonne point, named after joseph Diaz gergonne (17711859).). Proof. http://www.cut-the-knot.com/Generalization/ceva.shtml
Extractions: Recommend this site 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 (*) CE/EA=BC/AG (*) AG/BD=AK/DK AH/DC=AK/DK from the last two we conclude that AG/BD = AH/DC and, hence, BD/DC = AG/AH (*).
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
Encyclopædia Britannica joseph Diaz gergonne University of St.Andrews, Scotland Biographical sketch of thisFrench mathematician known for his interest in philosophy of mathematics http://www.britannica.com/search?query=joseph stalin&ct=igv&fuzzy=N&show=10&star
Tangent Circles Long after this page was created, someone called my attention to Eric Weisstein'ssite, where he presents this solution by joseph gergonne. http://www.nas.com/~kunkel/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.
Base FDDE : Informations Généalogiques Translate this page Gaulthier, joseph Naissance (Moselle) Famille Conjoint ?, Marguerite Enfant(s ParentsPère Bouchere, François Mère gergonne, Françoise Famille http://web.wanadoo.be/fdde/genealogie/base/dat15.htm
Base FDDE : Index Des Noms Commençant Par G Translate this page joseph (vers 1722 Metz,Saint-Maximin (Moselle) - ) Georges, Louis ( - avant 1744)Georges, Louis (vers 1719 (Loraine) - ) Georges, Mangin ( - ) gergonne, Anne http://web.wanadoo.be/fdde/genealogie/base/idx470.htm
Galois dans les Annales de mathématiques , revue fondée par joseph gergonne. http://math93.free.fr/galois.htm
Extractions: Mort: le 30 mai 1832 à Paris Home Les mathématiciens Évariste Galois naît à Bourg-la-Reine en 1811, (Bourg-l'Egalité pendant la révolution, à 10 km au sud de Paris). Les parents Évariste Galois , son père Nicholas Gabriel Galois et sa mère Adélaïde Marie Demante sont des gens intelligents et cultivés.
[math487] 3.5??? Inverse Mass ? (This is known as the gergonne point, named after joseph Diaz gergonne (17711859).)Proof Sides of the triangle being tangent to the inscribed circle, AF = EA http://www.ms.washington.edu/math487/fall02/classmail/msg00078.html
[math487] Problem 3.5 Then the lines AD, BE and CF intersect at one point. (This is known as the gergonnepoint, named after joseph Diaz gergonne (17711859).) Proof Sides of the http://www.ms.washington.edu/math487/fall02/classmail/msg00077.html
Extractions: Date Prev Date Next Thread Prev Thread Next ... Thread Index I got a request for a solution to problem. I guess my quick explanation in class was not enough.:-) A good reference is on the cut-the-knot site at http://www.cut-the-knot.com/Generalization/ceva.shtml http://www.math.washington.edu/~king/ Follow-Ups [math487] 3.5? inverse mass ? From: Prev by Date: [math487] Sample Problems on the web Next by Date: [math487] 3.5? inverse mass ? Prev by thread: [math487] Sample Problems on the web Next by thread: [math487] 3.5? inverse mass ? Index(es): Date Thread
Full Alphabetical Index Translate this page Aleksandr (226*) Gellibrand, Henry (199) Geminus (173) Gemma Frisius, Regnier (553)Genocchi, Angelo (858) Gentzen, Gerhard (277*) gergonne, joseph (75) Germain http://www.geocities.com/Heartland/Plains/4142/matematici.html
ÉVARISTE GALOIS Translate this page Demostración de un teorema sobre fracciones continuas periódicas, y aparecióen Annales de mathématiques pures et appliquées, de joseph Diaz gergonne. http://thales.cica.es/rd/Recursos/rd97/Biografias/05-2-b-galois.html
Comanducci Arte Italia - Catalogo Artitsti Translate this page Ava GERBER Carl GERBER F. GERBER François GERBER Franz joseph GERBER Gaylen GERGERG. GERGILENKO Petr Alexandrovich GERGOLET Giovanni gergonne André gergonne http://www.comanducci.it/elenco/elencoG16.htm
Lebensdaten Von Mathematikern Translate this page Chr.) Gemma Frisius, Regnier (1508 - 1555) Gentzen, Gerhard (1909 - 1945) Gerbertde Aurillac (945 - 1003) gergonne, joseph Diaz (1771 - 1831) Germain, Sophie http://www.mathe.tu-freiberg.de/~hebisch/cafe/lebensdaten.html
Extractions: Marc Cohn Dies ist eine Sammlung, die aus verschiedenen Quellen stammt, u. a. aus Jean Dieudonne, Geschichte der Mathematik, 1700 - 1900, VEB Deutscher Verlag der Wissenschaften, Berlin 1985. Helmut Gericke, Mathematik in Antike und Orient - Mathematik im Abendland, Fourier Verlag, Wiesbaden 1992. Otto Toeplitz, Die Entwicklung der Infinitesimalrechnung, Springer, Berlin 1949. MacTutor History of Mathematics archive A B C ... Z Abbe, Ernst (1840 - 1909)
Mathematics Unbound Abstracts joseph Diez gergonne's periodical title, Annales de mathématiques pures et appliquées,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
