41. 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

Palissy Flandrin Madeleine Flandrin Marthe Flandrin Paul Flandrin Paul Hippolyte ... Fortuné Léonard

42. 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

Isogons and Isogonic Symmetry The word isogon has almost completely been replaced by the word equiangular. It describes a polygon with all angles congruent such as rectangles and the regular polygons . The word comes from the Greek isos for same, and gon for knee or corner. 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.

43. 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

Full Alphabetical Index The number of words in the biography is given in brackets. A * indicates that there is a portrait. A Abbe , Ernst (602*) Abel , Niels Henrik (2899*) Abraham bar Hiyya (641) Abraham, Max Abu Kamil Shuja (1012) Abu Jafar Abu'l-Wafa al-Buzjani (1115) Ackermann , Wilhelm (205) Adams, John Couch Adams, J Frank Adelard of Bath (1008) Adler , August (114) Adrain , Robert (79*) Adrianus , Romanus (419) Aepinus , Franz (124) Agnesi , Maria (2018*) Ahlfors , Lars (725*) Ahmed ibn Yusuf (660) Ahmes Aida Yasuaki (696) Aiken , Howard (665*) Airy , George (313*) Aitken , Alec (825*) Ajima , Naonobu (144) Akhiezer , Naum Il'ich (248*) al-Baghdadi , Abu (947) al-Banna , al-Marrakushi (861) al-Battani , Abu Allah (1333*) al-Biruni , Abu Arrayhan (3002*) al-Farisi , Kamal (1102) al-Haitam , Abu Ali (2490*) al-Hasib Abu Kamil (1012) al-Haytham , Abu Ali (2490*) al-Jawhari , al-Abbas (627) al-Jayyani , Abu (892) al-Karaji , Abu (1789) al-Karkhi al-Kashi , Ghiyath (1725*) al-Khazin , Abu (1148) al-Khalili , Shams (677) al-Khayyami , Omar (2140*) al-Khwarizmi , Abu (2847*) al-Khujandi , Abu (713) al-Kindi , Abu (1151) al-Kuhi , Abu (1146) al-Maghribi , Muhyi (602) al-Mahani , Abu (507) al-Marrakushi , ibn al-Banna (12)

44. 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

A B C D ... W X Y Z (Autre) Page suivante GAILLARD, Claude ... GAILLIOT, Claudine (vers 1648 - 24 septembre 1718 Pompierre sur Doubs,25,Doubs, France GAILLOT, C GALL, Adam Minversheim,67,Bas-Rhin, France GALL, Georges ( - avant 1706) GALL, Hilaire (15 septembre 1701 Minversheim,67,Bas-Rhin, France GALLAND, Anne GANET, Jean GANGLOFF, Anne Marie GANGLOFF, Jacques ... GANGLOFF, Jean Jacques (vers 1646 - 25 mai 1691 Waldowisheim,67,Bas-Rhin, France GANGOLFF, Barbe GANTELET, Jean GANTELET, Jean (Pierre) (17 novembre 1776 Chanville,57580,Moselle, France ( - @#DFRENCH R@ avant an VI ) GANTELET, Jeanne Marly,57157,Moselle, France GANTHELET, Jean Pierre (@#DFRENCH R@ 8 VEND an XII Chanville,57580,Moselle, France - 6 juin 1844) GARAND, Barbe GARDEUR, Claudine GARNIER, Marguerite (22 juillet 1731 Mainvillers,57380,Moselle, France - 19 janvier 1805 Arriance,57580,Moselle, France GASPARD, Anne GASPARD, Bernard GASPARD, Catherine (26 mars 1773 Marly,57157,Moselle, France - 28 novembre 1825 Marly,57157,Moselle, France GASPARD, Fremin GASPARD, Jacquemin GASPARD, Jacques GASPARD, Jacques (vers 1696 - ) GASPARD, Jacques

45. 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

MOEGEN, Henri Sexe: Masculin Parents WALRABEN, Henesica Famille: Mariage: Conjoint: GIMBEL, Marie Elisabeth Parents GIMBEL, (Jean) Martin ACKER, Marguerite Enfant(s) MOEGEN, Marie Anne Sexe: Masculin Famille: Conjoint: WALRABEN, Henesica Enfant(s) MOEGEN, Henri ACKER, Georges Sexe: Masculin Famille: Conjoint: ?, Anne Marie Enfant(s) ACKER, Marguerite LORRIN, Abraham Sexe: Masculin Parents LORRAIN, David MACHETE, Jenon Famille: Mariage: Conjoint: HALANZY, Madeleine Naissance : mai 1621 Parents HALANZY, Isaac GUELLE, Judith Enfant(s) LORRAIN, Pierre LORRAIN, David Sexe: Masculin Parents LORRAIN, Demange Famille: Mariage: Conjoint: MACHETE, Jenon Parents MACHETE, Jean Enfant(s) LORRIN, Abraham LORRAIN, David Sexe: Masculin LORRAIN, Demange Sexe: Masculin Famille: Enfant(s) LORRAIN, David MACHETE, Jean Sexe: Masculin Famille: Enfant(s) MACHETE, Jenon HALANZY, Isaac Sexe: Masculin Naissance : novembre 1583 Parents HALANZY, Michel Famille: Mariage: Conjoint: GUELLE, Judith Naissance : @#DJULIAN@ novembre 1577 Parents GUELLE, Nicolas

46. 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

Triangle Geometers 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

47. 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

CTK Exchange Front Page Movie shortcuts Personal info ... Recommend this site Ceva's Theorem 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. Ceva's Theorem 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 Proof 1 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 (*).

48. 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

49. 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

50. 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

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. Three Circles At most, eight solutions.

51. 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

Charaux, Jean Sexe: Masculin Naissance : Moselle,France Parents Charaux, Jean Lapied, Jeanne Famille: Mariage: Conjoint: Goujon, Anne Naissance : Moselle,France Parents Goujon, Denis Lamiable, Marie Enfant(s) Gennezenne, Christophe Sexe: Masculin Occupation : Tisserand Parents Gennezenne, Antoine Petit (Klein), Marguerite Famille: Mariage: Conjoint: Goujon, Marguerite Parents Goujon, Pierre Virion, Marie Enfant(s) Zennezenne, Barbe Zennezenne, Dominique Sexe: Masculin Zennezenne, Elisabeth Zennezenne, Marie Gennezenne, Antoine Sexe: Masculin Naissance : Moselle,France Famille: Mariage: Conjoint: Petit (Klein), Marguerite Enfant(s) Gennezenne, Christophe Sexe: Masculin Naissance : Moselle,France Famille: Mariage: Conjoint: Zennezenne, Barbe Parents Gennezenne, Christophe Goujon, Marguerite Vogin, Nicolas Sexe: Masculin Naissance : Moselle,France Parents Vogin, Nicolas Famille: Mariage: Conjoint: Goujon, Barbe Naissance : Woippy, Moselle,France Parents Goujon, Denis Lamiable, Marie Enfant(s) Vosgein, Pierre Vogin, Nicolas Sexe: Masculin Naissance : Moselle,France

52. 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

A B C D ... H I J K L M ... W X Y Z (Autre) Page suivante Gabriel, Charles ... Gachot, Barbe (1710 - 20 juillet 1780 Metz, Moselle,France Gachot, Jacques - 6 octobre 1740 Peltres, Moselle,France Gachot, Lucie Gachot, Mangin Gallimard, Marie Garaux, Barbe ... Garcenot, Marguerite (vers 1800 Garlot, Anne Garlot, Henry Garlot, Jeanne (vers 1703 - 11 janvier 1743 Garlot, Nicolas (22 juin 1727 Garnier, Catherine ( - avant 1742 Garnier, Laurent Garreau, Antoine Garreau, Jacques ( - avant 1760) Gassonet, Anne ( - 5 mai 1692 Gatillot, Denise Gattermeyer, Sophie Richarde (vers 1786 Bas-Rhin,France - 17 novembre 1838 Gunstett, Bas-Rhin,France Gaudelet, Catherine - 11 janvier 1747 Gaudelet, Didier (19 novembre 1668 - 13 avril 1730 Gaulin, Anne Gaulin, Anne Suzanne Camille Gaulin, Georges Void, Meuse,France Gaulin, Jean Nicolas (27 septembre 1812 Durtal, Maine-et-Loire,France - 18 juillet 1862 Metz, Moselle,France Gaulin, Julien Dominique (25 mars 1876 Gaulin, Paul Gaulin, Pierrot Gaulin, Simone Gaulin, Xx ... Gauthier, Antoine ( - avant 1738) Gauthier, Etienne Gay, Gay, Claudine ( - vers 1855) Geerinckx, Joanna-Francisca

53. Galois dans les Annales de mathématiques , revue fondée par joseph gergonne. http://math93.free.fr/galois.htm

Évariste GALOIS Naissance: en 1811 Bourg-la Reine près de Paris Mort: le 30 mai 1832 à Paris Home Les mathématiciens Les parents de Galois et le contexte historique 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. Ils sont férus de philosophie, de religion et de littérature classique. On ignore toutefois s'ils possédaient de quelconques habilités en mathématiques. La mère de Galois , fille de magistrat, est son unique professeur jusqu'à l'âge de 12 ans. Elle lui enseigne le grec, le latin et la religion. Le père de Galois , est libéral, maire de la commune pendant les Cents-jours et directeur de collège 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

54. [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

Date Prev Date Next Thread Prev Thread Next ... Thread Index [math487] 3.5? inverse mass ? From tuanh_612@yahoo.com To math487@ms.washington.edu Subject [math487] 3.5? inverse mass ? Date Thu, 23 Jan 2003 15:12:33 -0800 (PST) Anh wrote: 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 There are some other applications of Ceva her, including the concurrence of the altitudes. For 3.5, the point of concurrence has a name ; it is called the Gergonne point, so look for the explanation there of why Ceva's thereom is satisfied. To quote from cut-the-knot: Corollary 4 (Gergonne point) Let D, E, F be the points where the inscribed circle touches the sides of the triangle ABC. Then the lines AD, BE and CF intersect at one point. (This is known as the Gergonne point, named after Joseph Diaz Gergonne Proof Sides of the triangle being tangent to the inscribed circle, AF = EA, FB = BD, DC = CE so that (1) indeed holds.

55. [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

Date Prev Date Next Thread Prev Thread Next ... Thread Index [math487] problem 3.5 From king@math.washington.edu To math487@ms.washington.edu Subject [math487] problem 3.5 Date Thu, 23 Jan 2003 10:46:28 -0800 (PST) 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

56. 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

Completo Indice Alfabetico Cliccare su una lettera sottostante per andare a quel file. A B C D ... XYZ Cliccare sotto per andare agli indici alfabetici separati A B C D ... XYZ Il numero di parole nella biografia e' dato in parentesi. Un * indica che c'e' un ritratto. A Abbe , Ernst (602*) Abel , Niels Henrik (286*) Abraham bar Hiyya (240) Abraham, Max Abu Kamil Shuja (59) Abu'l-Wafa al'Buzjani (243) Ackermann , Wilhelm (196) Adams, John Couch Adams, Frank Adelard of Bath (89) Adler , August (114) Adrain , Robert (79) Aepinus , Franz (124) Agnesi , Maria (196*) Ahlfors , Lars (725*) Ahmed ibn Yusuf (60) Ahmes Aida Yasuaki (114) Aiken , Howard (94) Airy , George (313*) Aitken , Alexander (825*) Ajima , Chokuyen (144) Akhiezer , Naum Il'ich (248*) al'Battani , Abu Allah (194) al'Biruni , Abu Arrayhan (306*) al'Haitam , Abu Ali (269*) al'Kashi , Ghiyath (73) al'Khwarizmi , Abu (123*) Albanese , Giacomo (282) Albert of Saxony Albert, Abraham Adrian (121*) (158*) Alberti , Leone (181*) Alberto Magno, San (109*) Alcuin di York (237*) Aleksandrov , Pave (160*) Alembert , Jean d' (291*) Alexander , James (163) Amringe , Howard van (354*) Amsler , Jacob (82) Anassagora di Clazomenae (169) Anderson , Oskar (67) Andreev , Konstantin (117) Angeli , Stefano degli (234) Anstice , Robert (209) Antemio of Tralles (55) Antifone il Sofista (125) Apollonio di Perga (276) Appell , Paul (1377) Arago , Dominique (345*) Arbogasto , Louis (87) Arbuthnot , John (251*) Archimede di Siracusa (467*) Archita of Tarentum (103) Argand , Jean (81) Aristeo il Vecchio (44) Aristarco di Samo (183) Aristotele Arnauld , Antoine (179)

57. 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

Muero amigo vuestro, en tres memorias (UNIVERSIDAD DE SEVILLA)

58. 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

ELENCO ARTISTI PRESENTI NEI NOSTRI ARCHIVI LETTERA: G - PAGINA: HOME PAGE A B C ... GERMY V. GERMINET Pierre René

59. 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

Diese Seite ist dem Andenken meines Vaters Otto Hebisch (1917 - 1998) gewidmet. By our fathers and their fathers in some old and distant town from places no one here remembers come the things we've handed down. 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) Abel, Niels Henrik (5.8.1802 - 6.4.1829) Abraham bar Hiyya (1070 - 1130) Abraham, Max (1875 - 1922) Abu Kamil, Shuja (um 850 - um 930) Abu'l-Wafa al'Buzjani (940 - 998) Ackermann, Wilhelm (1896 - 1962) Adams, John Couch (5.6.1819 - 21.1.1892) Adams, John Frank (5.11.1930 - 7.1.1989) Adelard von Bath (1075 - 1160) Adler, August (1863 - 1923) Adrain, Robert (1775 - 1843)

60. 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

Hermite, Darboux, and the Promotion of German Mathematics in post-1870 France Tom Archibald 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

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