1. Gergonne Joseph Diaz Gergonne. Born 19 June 1771 in Nancy, France Died 4 May 1859 in Montpellier,France. Joseph Gergonne s father was an architect and also a painter. http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Gergonne.html

Joseph Diaz Gergonne Born: 19 June 1771 in Nancy, France Died: 4 May 1859 in Montpellier, France Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Joseph Gergonne In 1791 the French Assembly was at a difficult stage trying to stabilise the country following the French Revolution. The Assembly was not helped by the King, Louis XVI, attempting to flee the country in June of that year. After the King was returned to Paris, the Assembly reinforced the frontiers of France by calling for 100,000 volunteers from the National Guard. Gergonne gave his support becoming a captain in the National Guard. In April 1792 France went to war against Austria and Prussia. The French attack was quickly halted and then Prussian forces invaded France. The Assembly called for 100,000 military volunteers and Gergonne joined the French army being assembled to defend Paris against the Prussians. On 20 September 1792 Kellermann led the French forces at Valmy with Gergonne in his army. The French defeated the Prussians in an artillery duel and, following this, the Austrian and Prussian armies retreated from France. Following this great French victory, Gergonne went to Paris where he became a secretary to his uncle. It was a time of much military action, however, and Austria and Prussia were not going to simply accept the defeat at Valmy as the end of the war. By 1793 they were joined by Spain, Piedmont, and Britain. The French forces were soon in trouble, fighting on many different fronts and being defeated everywhere. Gergonne returned to the French army, this time as secretary to the general staff of the Moselle army.

2. Talbot’s Correspondence:Search The Letters return to list of correspondents. Name search for gergonne josephDiez 5 documents 1 TRANSCRIPTION gergonne joseph Diez to http://www.foxtalbot.arts.gla.ac.uk/letters/name.asp?namestring=Gerg&target=378

3. Talbot Correspondence Project: GERGONNE Joseph Diez To WHFT, 16 Dec 1826 [01512] Translate this page Talbot Correspondence gergonne joseph Diez to WHFT, 16 Dec 182601512, Talbot Correspondence Project, University of Glasgow. http://www.foxtalbot.arts.gla.ac.uk/corresp/01512.asp?target=5

4. Nouvelle Page 1 Translate this page Félix - François 0473-GAYRAUD Etienne - Magloire 0096-GENESTE Patrick 0386-GENNEVAUXMaurice 0404-GÉRARD Jules 0097-gergonne joseph - Diez 0165-GERHARDT http://www.biu.univ-montp1.fr/academie/Data/Academiciens/IndexAlpha/g.htm

G -GACHON Emile -GACHON Paul -GAILLARD Bernardin - Jean - Joseph - Michel - Marc -GALAVIELLE Léopold -GALLET DE SANTERRE Hubert -GALTIER Gaston -GALZY - BARADUC Jeanne -GARAT Joseph -GARLIN - SOULANDRE Jacques -GASPARD Pierre-Emile -GAUCHER Louis -GAUDIN Léon -GAUFFRE Jules -GAUSSEN Jean -GAUSSEN Jean -GAUTERON Antoine -GAUTIER DU BAYLE Henri -GAY Henri - Félix - François -GAYRAUD Etienne - Magloire -GENESTE Patrick -GENNEVAUX Maurice -GÉRARD Jules -GERGONNE Joseph - Diez -GERHARDT Charles - Frédéric -GERMAIN Alexandre - Charles -GERMAIN - MARTIN Henri -GERVAIS Etienne -GERVAIS François - Louis - Paul -GÈZE Jean - Baptiste -GIDE Charles -GILIS Jean - Louis - Paul - Marie - Antoine -GILIS Louis -GIRARD Edmond -GIRARD Frédéric de -GIRARD Joseph de -GIRAUD Gaston -GIRAUD Marcel -GIRBAL Pierre - Auguste - Anthelme -GIROUX Jean -GIRY Joseph -GLAIZE Antonin -GODARD Marcelin -GODECHOT Marcel -GODRON Dominique - Alexandre -GOLFIN Prosper - Hippolyte -GONDANGE Etienne -GOUAN Antoine -GOUAN Antoine -GOULARD Thomas -GOULARD Thomas -GOUNELLE André -GOURON André -GOURON André -GOURON Marcel -GOURRAIGNE Hugues -GOURRAIGNE Hugues -GRANEL Maurice -GRANEL DE SOLIGNAC François -GRANIER Camille -GRANIER Louis -GRANIER Marius -GRASSET Daniel -GRASSET Joseph -GRASSET Joseph -GRASSET Joseph - Pierre - Antoine -GRASSET Pierre -GRASSET - MOREL Louis -GRASSET - MOREL Pierre -GRAWITZ Charles -GROLLIER Gabriel -GRYNFELTT Edouard -GRYNFELTT Joseph -GUEIT Charles -GUENOUN Lucien -GUERRIER Yves -GUIBAL André -GUIBAL Charles - Raymond -GUIBAL Elie -GUIBAL Jean -GUIBAL Louis -GUIBERT Hermann

5. Gergonne Joseph Diaz Gergonne. Joseph Gergonne was an artillery officer and a professor ofmathematics and provided an elegant solution to the Problem of Apollonius. http://intranet.woodvillehs.sa.edu.au/pages/resources/maths/History/Grgnn.htm

Joseph Diaz Gergonne Born: 19 June 1771 in Nancy, France Died: 4 May 1859 in Montpellier, France Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Welcome page Joseph Gergonne was an artillery officer and a professor of mathematics and provided an elegant solution to the Problem of Apollonius . This problem is to find a circle which touches three given circles. His early career was much influenced by Monge Gergonne introduced the word polar and the principal of duality in projective geometry grew out of his work. He published his own mathematics journal starting in 1810. It was known as Annales de Gergonne References (8 books/articles) References elsewhere in this archive: Gergonne's theorem Other Web sites: More about the Gergonne point is at Georgia, USA Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Welcome page History Topics Index Famous curves index ... Search Suggestions JOC/EFR December 1996 The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/Mathematicians/Gergonne.html

6. La Matematica, La Geometria, L'analisi Per Chi Voglia Ripartire Da Zero VII-32 GERBER (trave di) VI-240 gergonne joseph Diaz (1771-1859) matem. http://spazioinwind.libero.it/corradobrogi/indiceg.htm

Inizio: Volume: Corrado Brogi Indice Enciclopedico Indice: A B C D ... Z G (lettera usata come simbolo del :) " (baricentro) I-282 " (modulo di elasticità tangenz.) VI-329 Gal (unità di accelerazione) Galea (partire a) I-527 GALILEO (Galileo Galilei (1564-1642) n.a Pisa matematico, astronomo, inventore, scienziato, innovatore maestro di eminenti scienziati, uno dei più grandi scienziati del mondo. Famoso per la relatività, che porta il suo nome,per le scoperte astronomiche,per un tipo di cannocchiale, per la sua scuola ove nacque il calcolo infinitesimale. Sostenne la teoria, negata dalla Bibbia, dei moti della terra, per questo,fu condannato. " (piano inclinato) VI-5 Gamma G (funzione) (v.f. Euleriane) II-112 Gauge (Parola inglese che può significare "misura di precisione" o sistema, od apparecchio, modalità di misura, o definizione; in senso figurato vale farsi un'idea) " (invarianza di) (invarianza delle equazioni di Maxwell rispetto a particolari modifiche) " (trasformazione di) (in relatività generale,piccolo cambiamento di coordinate)

7. So Biografias Nomes JOSEPH Joseph Bolivar De Lee Joseph Boussinesq Joseph Bramah Joseph Burr Tyrrell JosephConrad Joseph Dalton Hooker Joseph Deniker Joseph Diaz gergonne joseph Edward http://www.sobiografias.hpg.ig.com.br/JOSEPH.html

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8. Gergonne, Joseph-Diaz (1771-1859) -- From Eric Weisstein's World Of Scientific B Mathematicians. Nationality. French. gergonne, josephDiaz (1771-1859) French mathematician who founded Annales de mathématiques in 1810. He argued against Poncelet for superiority of analytic geometric methods. http://scienceworld.wolfram.com/biography/Gergonne.html

Branch of Science Mathematicians Nationality French Gergonne, Joseph-Diaz (1771-1859) French mathematician who founded in 1810. He argued against Poncelet for superiority of analytic geometric methods. Additional biographies: MacTutor (St. Andrews)

9. Blank Entries From Eric Weisstein's World Of Scientific Biography Translate this page Lussac, joseph (1778-1850) Geiger, Hans (1882-1945) Gelfond, Aleksandr (1906-1968)Gell-Mann, Murray (1929-) gergonne, joseph-Diaz (1771-1859) Germer, Lester http://scienceworld.wolfram.com/biography/blank-entries.html

Please consider contributing or extending the following entries. For more information about making contributions, see the page on contributing . Please send contributions to scienceworld@wolfram.com Abbe, Ernst (1840-1905) Adams, John Couch (1819-1892) Aepinus, Franz (1724-1802) ... Zwicky, Fritz (1898-1974)

10. Biography-center - Letter G and.ac.uk/~history/Mathematicians/ Galileo.html. Gall, Franz joseph. server.epub.org.br/cm/n01/frenolog/ frengall PAR_I_ID=10620. gergonne, joseph. wwwhistory.mcs.st-and.ac http://www.biography-center.com/g.html

Visit a 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 G 558 biographies www.pathfinder.com/time/time100/scientist/profile/godel.html www-history.mcs.st-and.ac.uk/~history/Mathematicians/Godel.html www-history.mcs.st-and.ac.uk/~history/Mathematicians/Gopel.html G.i., American www.pathfinder.com/time/time100/heroes/profile/gi01.html Gabbiani, Beppe www.grandprix.com/gpe/drv-gabbep.html Gabelich, Gary www.hickoksports.com/biograph/gabelichg.shtml Gable, Daniel M. www.hickoksports.com/biograph/gabledan.shtml Gabor, Dennis www.nobel.se/physics/laureates/1971/gabor-autobio.html Gachot, Bertrand www.grandprix.com/gpe/drv-gacber.html Gaddi, Taddeo www.kfki.hu/~arthp/bio/g/gaddi/taddeo/biograph.html Gadgil, Ashok web.mit.edu/invent/www/inventorsA-H/gadgil.html Gadgil, Ashok

11. Isogons another triangle center called the gergonne point, named for joseph gergonne (17711859). A very short biography Point of the gergonne Triangle is the gergonne Point of the original 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.

12. Tangent Circles Eric Weisstein's site, where he presents this solution by joseph gergonne. It is the simplest construction I have case that is based on the gergonne construction. In fact, that is http://whistleralley.com/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.

13. Gergonne Biography of joseph gergonne (17711859) joseph Diaz gergonne. Born 19 June 1771 in Nancy, France Main index. joseph gergonne's father was an architect and also a painter http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Gergonne.html

Joseph Diaz Gergonne Born: 19 June 1771 in Nancy, France Died: 4 May 1859 in Montpellier, France Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Joseph Gergonne In 1791 the French Assembly was at a difficult stage trying to stabilise the country following the French Revolution. The Assembly was not helped by the King, Louis XVI, attempting to flee the country in June of that year. After the King was returned to Paris, the Assembly reinforced the frontiers of France by calling for 100,000 volunteers from the National Guard. Gergonne gave his support becoming a captain in the National Guard. In April 1792 France went to war against Austria and Prussia. The French attack was quickly halted and then Prussian forces invaded France. The Assembly called for 100,000 military volunteers and Gergonne joined the French army being assembled to defend Paris against the Prussians. On 20 September 1792 Kellermann led the French forces at Valmy with Gergonne in his army. The French defeated the Prussians in an artillery duel and, following this, the Austrian and Prussian armies retreated from France. Following this great French victory, Gergonne went to Paris where he became a secretary to his uncle. It was a time of much military action, however, and Austria and Prussia were not going to simply accept the defeat at Valmy as the end of the war. By 1793 they were joined by Spain, Piedmont, and Britain. The French forces were soon in trouble, fighting on many different fronts and being defeated everywhere. Gergonne returned to the French army, this time as secretary to the general staff of the Moselle army.

14. Servois Françoisjoseph Servois s father, Jacques-Ignance Servois, was a merchant and hismother was He wrote to gergonne telling him so in November 1813 and gergonne http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Servois.html

Born: 19 July 1768 in Mont-de-Laval (N of Morteau), Doubs, France Died: 17 April 1847 in Mont-de-Laval, Doubs, France Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Legendre Servois worked in projective geometry , functional equations and complex numbers. He introduced the word pole in projective geometry. He also came close to discovering the quaternions before Hamilton Petrova, in [5], describes a paper by Servois on differential operators written in the in November 1814. Servois introduced the terms "commutative" and "distributive" in this paper describing properties of operators, and he also gave some examples of noncommutativity. Although he does not use the concept of a ring explicitly, he does verify that linear commutative operators satisfy the ring axioms. In doing so he showed why operators could be manipulated like algebraic magnitudes. This work initiates the algebraic theory of operators. Servois was critical of Argand 's geometric interpretation of the complex numbers. He wrote to Gergonne telling him so in November 1813 and Gergonne published the letter in the in January 1814. Servois wrote:-

15. Joseph D. Gergonne Translate this page joseph D. gergonne Seite aus einem deutschsprachigen Online-Philosophenlexikon.philosophenlexikon.de, Begriffe. eMail. joseph D. gergonne (1771 - 1859). http://www.philosophenlexikon.de/gergonne.htm

Begriffe Abaelard - Ayer Baader - Byron Cabanis - Czezowski Ebbinghaus - Ewald ... Frauen in der Philosophie Diskussion PhilTalk Philosophieforen Andere Lexika PhilLex -Lexikon der Philosophie Lexikon der griechischen Mythologie PhiloThek Bibliothek der Klassiker Zeitschriftenlesesaal Nachschlagewerke Allgemeine Information ... Dokumentenlieferdienste Spiele Philosophisches Galgenraten PhilSearch.de Shops PhiloShop PhiloShirt Service Kontakt Impressum eMail Joseph D. Gergonne (1771 - 1859) Logiker Eulerschen Kreisen in der Syllogistik entsprechen. powered by Uwe Wiedemann

16. Earliest Known Uses Of Some Of The Words Of Mathematics (I) literature of mathematics, this term was introduced by josephDiaz gergonne (1771-1859) in Essai sur la théorie des The Annales begun to be published by gergonne himself in 1810 http://members.aol.com/jeff570/i.html

Earliest Known Uses of Some of the Words of Mathematics (I) Last revision: April 23, 2004 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.

17. Food For Thought: Biographies Gagern, Maximilian joseph Ludwig (German nationalist) 18101889 1885-1961. gergonne, joseph-Diaz (French mathematician) 1771-1859 http://www.junkfoodforthought.com/bio/bio_G.htm

Gabelentz, Hans Conon von der (German philologist, politician) Gabin, Jean (orig. Jean-Alexis Moncorge) (French actor) Gabinius, Aulus (Roman politician) d.47 BC Gable, (William) Clark (American actor) Gabo, Naum (orig. Naum Neemia Pevsner)(Russ.-born Am. sculptor) Gabor, Dennis (Hungarian-born British physicist) Gaboriau, (Etienne-) Emile (French novelist) Gabriel, Jacques (French architect) Gabriel, Jacques-Ange (French architect; son of Jacques) Gabriel, Jacques-Jules (French architect; son of Jacques) Gabriel (aka Gabriel Prosser) (American slave insurrectionist) c.1776-1800 Gabrieli, Andrea (Italian organist, composer) c.1510-1586 Gabrieli, Giovanni (It. composer, teacher; nephew of Andrea) c.1556-1612 Gabrielli, Cante dei (Tuscan nobleman, soldier) 14th cent. Gabriel Severus (Greek prelate) Gabrilowitsch, Ossip Solomonovich (Russian pianist, conductor) Gadda, Carlo Emilio (Italian writer) Gaddi, Agnolo (Florentine painter; son of Taddeo) c.1350-1396 Gaddi, Taddeo (Florentine painter) c.1300-1366? Gade, Niels Wilhelm (Danish composer) Gadifer de La Salle (Seigneur de Ligron) (French soldier) c.1340-c.1422

18. Philosophenlexikon.de Gerbert von Aurillac; gergonne, joseph D. Gerhards, Gerhard; Germain http://www.philosophenlexikon.de/index-gg.htm

Begriffe Abaelard - Ayer Baader - Byron Cabanis - Czezowski Ebbinghaus - Ewald ... Frauen in der Philosophie Diskussion PhilTalk Philosophieforen Andere Lexika PhilLex -Lexikon der Philosophie Lexikon der griechischen Mythologie PhiloThek Bibliothek der Klassiker Zeitschriftenlesesaal Nachschlagewerke Allgemeine Information ... Dokumentenlieferdienste Spiele Philosophisches Galgenraten PhilSearch.de Shops PhiloShop PhiloShirt Service Kontakt Impressum eMail Philosophen und Logiker [a] [b] [c] [d] ... [z] G Galenos, Claudius Galilei, Galileo Galitsch, Alexandr Iwanowitsch Galton, Francis ... Gunsun Lun powered by Uwe Wiedemann

19. G 1851 GalliCurci, Amelita (nee Galli) US (It.-born) soprano _1889-1963 Gallieni, joseph Simon Fr David Richmond US political media relations advisor _1942 gergonne, joseph Diez Fr http://ftp.std.com/obi/Biographical/biog_dict.g

20. Gergonne Point Essay Essay 2 gergonne Point. by Anita Hoskins and Crystal Martin. The gergonne Point was discovered by and named after joseph Diaz gergonne. http://jwilson.coe.uga.edu/EMT668/EMAT6680.F99/Martin/essays/essay2.html

Essay 2: Gergonne Point by Anita Hoskins and Crystal Martin The Gergonne Point was discovered by and named after Joseph Diaz Gergonne . The theorem goes as follows: the segments from the vertices of a triangle to the points of tangency of the incircle with the opposite sides of the triangle are concurrent. This point of concurrency is called the Gergonne point. The proof can be done easily by using Ceva's Theorem Proof: See Figure 1 below. Let c1 be the incircle (green) of triangle ABC, and let point I be the center of c1, or incenter of the triangle. Recall that the incenter is the point of concurrency of the angle bisectors (red) of a triangle. Also, that the incircle is formed by constructing lines (blue) through point I perpendicular to the sides of the triangle. The points where these lines intersect the sides of the triangle (points F, D, and E) are the points of tangency of the incircle. Figure 1 Notice triangles AFI and AEI (figure 2). Angle AFI and AEI are both right angles, and angle FAI = angle EAI because of the angle bisector. Since angle AFI = angle AEI, and angle FAI = angle EAI, then angle FIA = angle EIA. The length of side AI = the length of side IA by the reflexive property. Therefore, triangle AFI is congruent to triangle AEI by angle-side-angle congruency. So, AF = AE. Figure 2 The same argument is used to prove that BF = BD, and CD = CE. See figure 3.

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