1. Brianchon Charles Julien Brianchon. Born 19 Dec 1783 in Sèvres, France Died 29 April 1864in Versailles, France. CharlesJulien Brianchon's background is not known. http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Brianchon.html

Charles Julien Brianchon Born: Died: 29 April 1864 in Versailles, France Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Charles-Julien Brianchon 's background is not known. We do not know anything of his primary or secondary education and the first definite educational record that exits is his entry into the Ecole Polytechnique in 1804 at the age of eighteen. At the Ecole Polytechnique in Paris, Brianchon studied under Monge . In fact he published his first paper in the Journal de l'Ecole Polytechnique while still a student. In that paper Brianchon rediscovered Pascal 's Magic Hexagon. He showed that in any hexagon formed of six tangents to a conic , the three diagonals meet at a point. This result is often called Brianchon's Theorem and it is the result for which he is best known. In fact this theorem is simply the dual of Pascal 's theorem which was proved in 1639:- If all the vertices of a hexagon lie on a conic, and if the opposite sides intersect, then the points of intersection lie on a line. In [1] Greitzer points out that Pascal recognised that his theorem was projective in nature so it is surprising that it took 167 years before someone realised that its dual, which is Brianchon's Theorem, would also be true.

2. Berühmte Mathematiker Bradwardine Thomas. brianchon charles Julien. Briggs Henry. Brouwer Luitzen Egbertus Jan http://uabt.minic.ac.at/mathe/beruehmt.html

3. Brianchon Translate this page brianchon charles Julien français, 1785-1864 Cet officier d'atillerie,élève de Monge, fut nommé professeur à l’Ecole d’artillerie http://www.sciences-en-ligne.com/momo/chronomath/chrono1/Brianchon.html

BRIANCHON Charles Julien Monge Surfaces courbes du second ordre Hexagone de Brianchon : (dont Monge Poncelet Pascal hexagone mystique Dupin Binet

4. Base Joconde - Personnages Représentés Translate this page de Brézé Françoise de, Brézé Louis de Brézé maréchal de Brézé marquisde Brézé Mme de Brézé vicomte de brianchon charles Julien Briand Aristide http://www.culture.fr/documentation/joconde/QUIDAMS/quidams_13.htm

Base Joconde Barrère Marie Anne Boylesve René Boyreau père Boze Claude Gros de ... Broussier Jean-Baptiste

5. Virtual Encyclopedia Of Mathematics thomas brahe tycho brahmagupta braikenridge william bramer benjamin brashman nikolaidmetrievich brauer richard dagobert brianchon charles julien briggs henry http://www.lacim.uqam.ca/~plouffe/Simon/supermath.html

Super-Index of Biographies of Mathematicians abel niels henrik abraham bar hiyya ha-nasi abraham max abu kamil shuja ibn aslam ibn muhammad ... zygmund antoni This index was automatically generated using a new tagging program written by Simon Plouffe at LaCIM

6. La Matematica, La Geometria, L'analisi Per Chi Voglia Ripartire Da Zero brianchon charles Jiulien francese (1783-1864) studioso di proiettiva VI-84 http://spazioinwind.libero.it/corradobrogi/indiceb.htm

Inizio: Volume: Corrado Brogi Indice Enciclopedico Indice: A B C D ... Z BABILONESI (alfabeto) VII-233 Backus Naur Form (BNF) VII-253 BANACH Stefan Matematico Polacco (1892-1945) pose le basi dell'analisi funzionale spazio di Banach. BANACHIEWICZ Y. matematico polacco noto per il metodo, che prende il suo nome, per il calcolo dei determinanti,da lui chiamati Cracoviani, in onore della sua città. pubblicò : "Etude d'analise pratique" Cracovia -1938. Banda (opposta) I-262 V-89 BARKHAUSEN Enrich Georg - fisico tedesco (1881-1956) (magnetini di) IV-85 VII-117 Baricentrica (coordinata) III-252 VI-23 Baricentro I-266 I-267 VI-27 VI-29 " (calcolo dei) III-410 " (della linea cicloide) V-225 " (dell'area della cicloide) V-226 " (di due forze o masse) III-414 " (di masse puntiformi III-415 VI-31 " (di tre masse) VI-31 " (di una linea) III-417 " (di una linea spezzata)

7. Liste Translate this page Wilhelm Bhaskara Bhaskara Atscharja Bolyai János Bolzano Bernhard Boole George BorelÉmile Bouguer Pierre Bradwardine Thomas brianchon charles Julien Briggs http://www.minic.ac.at/ut/mathe/Liste.html

Abel Niels Henrik Abubacer Ibn Tofail Al Chwarismi Mohammed Ibn Musa Alembert Jean le Rond d' Abu Nasr Mohammed Anthemios von Tralles Apianus Petrus Archimedes Avempace Ibn Baddscha Babbage Charles Balmer Johann Jakob Banach Stefan Bernays Paul Bernoulli Jakob Bernoulli Johann Bessel Friedrich Wilhelm Bhaskara Bhaskara Atscharja Bolyai Bolzano Bernhard Boole George Borel Bouguer Pierre Bradwardine Thomas Brianchon Charles Julien Briggs Henry Brouwer Luitzen Egbertus Jan Bruns Heinrich Ernst Joost Cantor Georg Cantor Moritz Constantin Cardano Geronimo Cartan Elie Joseph Cassini Giovanni Domenico Cauchy Augustin Louis Cavalieri Francesco Bonaventura Cayley Arthur Ceva Giovanni Christoffel Elwin Bruno Clairault Alexis-Claude Clebsch Alfred Condorcet Antoine Caritat Coriolis Gaspard Gustave Cournot Antoine Augustin Cramer Gabriel Cremona Luigi Dandelin Germinal Pierre Dedekind Richard De Morgan Augustus Desargues Descartes Dirichlet Peter Gustav Lejeune Euklid Euler Leonhard Fagnano Giulio Cesare Fermat Pierre de Feuerbach Karl Fibonacci Leonardo Finsterwalder Sebastian Fourier Jean Baptiste Joseph Galilei Galileo Galois Gassendi Petrus Carl Friedrich Gegenbauer Leopold Girard Albert Kurt Green George Gregory James Grimaldi Francesco Maria Guldberg Cato Maximilian Guldin Paul Haas Wander Johannes de Haitham Ibn al-Haitham Hamilton Sir William Rowan Harriot Thomas Hawking Stephen William Hayashi Tsuruichi Hesse Ludwig Otto Hilbert David Husserl Edmund Huygens Christiaan Jacobi Carl Gustav Jakob Paul von Jeans Sir James Hopwood Jungius Joachim Kahn Hermann

8. Brianchon, Charles (1785-1864) -- From Eric Weisstein's World Of Scientific Biog Alphabetical Index. About this site. Branch of Science , Mathematiciansv. Nationality , French v. brianchon, charles (17851864), French http://scienceworld.wolfram.com/biography/Brianchon.html

Branch of Science Mathematicians Nationality French Brianchon, Charles (1785-1864) French mathematician who proved Brianchon's theorem a dual theorem of Pascal's theorem which is valid if the words "point" and "line" are exchanged. Additional biographies: MacTutor (St. Andrews) Author: Eric W. Weisstein

9. Stelling Van Pascal stelling is inderdaad in 1806 ontdekt door brianchon (charles Julien brianchon, 17851864, Frankrijk), meer dan 150 jaar http://www.pandd.demon.nl/pascal.htm

De stellingen van Pascal en Brianchon voor cirkels Overzicht Transversalen Meetkunde 0. Overzicht De stelling van Pascal voor cirkels De stelling van Pappos De stelling van Brianchon voor cirkels 1. De Stelling van Pascal voor cirkels De stelling van Pascal ( Blaise Pascal , 1623-1662, Frankrijk) geformuleerd voor cirkels luidt Stelling van Pascal voor cirkels Van een zeshoek (niet noodzakelijk convex) waarvan de hoekpunten op een cirkel liggen, zijn de snijpunten van de drie paren overstaande zijden verschillend en collineair. Bewijs: zie figuur 1. figuur 1 ABCDEF is een zeshoek die een omgeschreven cirkel heeft. De snijpunten van de paren overstaande zijden (AB, DE), (BC, EF), (CD, FA) zijn opvolgend L,M,N. Nu zijn L,M,N collineair. Stel X = (AB,CD), Y = (CD,EF) en Z = (EF,AB). Beschouw nu driehoek XYZ met transversalen DE, FA en BC. Volgens de Stelling van Menelaos geldt nu (voor elk drietal punten op de zijden) (XZL)(ZYE)(YXD) = 1 (XZA)(ZYF)(YXN) = 1 (XZB)(ZYM)(YXC) = 1 Vermenigvuldiging van deze uitdrukkingen geeft na ordening Zodat (XZL)(ZYM)(YXN) = 1 Een wederom volgens de (omgekeerde) Stelling van Menelaos : L,M,N zijn collineair.

10. Brianchon charles Julien brianchon. Born 19 Dec 1783 in Sèvres, France http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Brianchon.html

Charles Julien Brianchon Born: Died: 29 April 1864 in Versailles, France Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Charles-Julien Brianchon 's background is not known. We do not know anything of his primary or secondary education and the first definite educational record that exits is his entry into the Ecole Polytechnique in 1804 at the age of eighteen. At the Ecole Polytechnique in Paris, Brianchon studied under Monge . In fact he published his first paper in the Journal de l'Ecole Polytechnique while still a student. In that paper Brianchon rediscovered Pascal 's Magic Hexagon. He showed that in any hexagon formed of six tangents to a conic , the three diagonals meet at a point. This result is often called Brianchon's Theorem and it is the result for which he is best known. In fact this theorem is simply the dual of Pascal 's theorem which was proved in 1639:- If all the vertices of a hexagon lie on a conic, and if the opposite sides intersect, then the points of intersection lie on a line. In [1] Greitzer points out that Pascal recognised that his theorem was projective in nature so it is surprising that it took 167 years before someone realised that its dual, which is Brianchon's Theorem, would also be true.

11. Blank Entries From Eric Weisstein's World Of Scientific Biography Translate this page William (1891-1971) Brattain, Walter Houser (1902-1987) Braun, Wernher von (1912-1977)Breit, Gregory (1899-) brianchon, charles (1785-1864) Bridges, Calvin http://scienceworld.wolfram.com/biography/blank-entries.html

Any assistance in providing definitions for the following items would be greatly appreciated. Please send additions to scienceworld@wolfram.com Abbe, Ernst (1840-1905) Adams, John Couch (1819-1892) Aepinus, Franz (1724-1802) ... Zwicky, Fritz (1898-1974)

12. B Index Bramer, Benjamin (180) Brashman, Nikolai (276*) Brauer, Alfred (1412*) Bremermann,HansJoachim (1177*) Brauer, Richard (2242*) brianchon, charles (689) Briggs http://www-gap.dcs.st-and.ac.uk/~history/Indexes/B.html

Names beginning with B The number of words in the biography is given in brackets. A * indicates that there is a portrait. Babbage , Charles (2793*) Bachelier , Louis (*) Bachet , Claude (165) Bachmann , Paul (386*) Backus , John (542*) Bacon , Roger (657*) Baer , Reinhold (596*) Baghdadi , Abu al (947) Baire Baker , Alan (647*) Baker , Henry (195*) Ball , Walter W Rouse (85) Balmer , Johann (601*) Banach , Stefan (2533*) Banneker , Benjamin (892*) Banna , al-Marrakushi al (861) Banu Musa brothers Banu Musa, al-Hasan Banu Musa, Ahmad Banu Musa, Jafar ... bar Hiyya , Abraham (641) Barbier , Joseph Emile (637) Bari , Nina (403*) Barlow , Peter (623) Barnes , Ernest (609*) Barocius , Franciscus (201) Barrow , Isaac (2332*) Barozzi , Francesco (201) Bartholin , Erasmus (189) Batchelor , George (1035*) Bateman , Harry (545*) Battaglini , Guiseppe (102*) Baudhayana Battani , Abu al- (1333*) Baxter , Agnes (624*) Bayes , Thomas (538*) Beaugrand , Jean (222) Beaune , Florimond de (316) Beg , Ulugh (1219*) Bell, Eric Temple Bell, John Bellavitis , Giusto (762*) Beltrami , Eugenio (1057*) ben Ezra , Abraham (552) ben Gerson , Levi (268) ben Tibbon , Jacob (198) Bendixson , Ivar Otto (1208*) Benedetti , Giovanni (211) Bergman , Stefan (311*) Berkeley , George (239*) Bernays , Paul Isaac (772*) Bernoulli, Daniel

13. References For Brianchon References for the biography of charlesJulien brianchon References for charles-Julien brianchon. Biography in Dictionary of Scientific Biography (New York 1970-1990). http://www-gap.dcs.st-and.ac.uk/~history/References/Brianchon.html

References for Charles-Julien Brianchon Biography in Dictionary of Scientific Biography (New York 1970-1990). Biography in Encyclopaedia Britannica. Articles: Praxis Math. Main index Birthplace Maps Biographies Index History Topics ... Anniversaries for the year JOC/EFR July 2000 School of Mathematics and Statistics University of St Andrews, Scotland The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/References/Brianchon.html

14. Encyclopædia Britannica brianchon, charlesJulien Encyclopædia Britannica Article. MLA style brianchon,charles-Julien. 2003 Encyclopædia Britannica Premium Service. http://www.britannica.com/eb/article?eu=16644

15. Encyclopædia Britannica brianchon, charlesJulien French mathematician who derived a geometrical theorem(now known as brianchon's theorem) useful in the study of the properties of http://www.britannica.com/search?query=duality&ct=eb&fuzzy=N&show=10&start=18

16. Www.iper1.com - Charles Julien Brianchon charles Julien brianchon. Arcachon bichon Jean Bourdichon charles Julien brianchonJan Lechon Roger Planchon a b c d e f g h i j k l m n o p q r s t u v w x y z http://www.iper1.com/rime/index.asp?cerca=Charles Julien Brianchon

17. Www.iper1.com - N Houser Brattain Karl Ferdinand Braun Wernher von Braun Richard Brautigan BremerhavenRobert Bresson André Breton charles Julien brianchon Briançon Bridgetown http://www.iper1.com/rime/index.asp?cerca=n&pag=3

18. Dupin Translate this page Baron sous Louis XVIII, conseiller d'Etat, ministre de la Marine puis sénateursous Louis-Philippe, charles Dupin fut aussi un brillant Bessel brianchon http://www.sciences-en-ligne.com/momo/chronomath/chrono2/Dupin.html

Monge Lorsqu'une surface S S au voisinage d'un de ses points : Indicatrice de Dupin : Cyclide de Dupin : sur une surface, une ligne de courbure est une courbe dont la cyclides , dont les deux familles de lignes de courbure sont des cercles. Ce sont des inversion d'un tore Pour en savoir plus : http://mathworld.wolfram.com/ page d'accueil http://www.irem.univ-mrs.fr/~jlm/APM97/node14.html http://www.irem.univ-mrs.fr/~jlm/ Bessel Brianchon

19. Euler-cirkel Opmerkingen 1 Stelling 5 is als probleem door Poncelet (Jean Victor Poncelet,17881867, Frankrijk) en brianchon (charles Julien brianchon, 1785-1864 http://www.pandd.demon.nl/euler.htm

Euler-cirkels Overzicht Koordenvierhoeken Feuerbach Meetkunde Zie ook de pagina " Complexe getallen en meetkundige bewijzen " 0. Overzicht Definitie en inleiding Euler-cirkels in een vierhoek Willekeurige vierhoek Koordenvierhoek ... Stelling van Poncelet-Brianchon 1. Definitie en inleiding In onderstaande paragrafen behandelen we enkele eigenschappen van n-hoeken (n = 3, 4, 5) in samenhang met de cirkels van Euler en het concyclisch zijn van bijzondere punten, alsmede het verband tussen het punt van Euler van een vierhoek en een orthogonale hyperbool door de vierhoekpunten (naar Leonard Euler , 1707-1783, Zwitserland). Definitie De Euler-cirkel van een koorde van een cirkel met straal R is de cirkel met straal R/2 die als middelpunt het midden van de koorde heeft ( zie figuur 1 figuur 1 figuur 2 In figuur 2 zijn de Euler-cirkels van de zijden van driehoek ABC getekend; de zijden zijn dus opgevat als koorden van de omcirkel van ABC. De bijzondere eigenschappen van deze figuur zijn geformuleerd in stelling 1 Stelling 1 De middelpunten van de Euler-cirkels van de zijden van een driehoek zijn concyclisch.

20. Geometrien Der Ebene Translate this page .. 2. Der Satz von brianchon (charles J. brianchon / französischerMathematiker / 1785-1818) Es sei ein Sechseck gegeben. http://rueckert-gym.de/facharbeiten/P3d.html

Sätze der projektiven Geometrie Auf dieser Seite werden einige Sätze der projektiven Geometrie vorgestellt. 1. Der Satz von Pappos (Pappos / griechischer Mathematiker / ca 300 v.Chr.) Es sei ein Sechseck gegeben (Ecken- und Seitenbezeichnung wie in der Abbildung). Liegen die Ecken A, C, E auf einer Geraden und die Ecken B, D, F auf einer anderen Geraden, so schneiden sich gegenüberliegende Seiten in drei kollinearen Punkten. (Bemerkung: Mit Seiten sind hier nicht die Strecken, sondern - wie häufig in der projektiven Geometrie - die Geraden, auf denen diese liegen, gemeint.) Kurzform: x d,b x e,c x (Diese algbraische Formelsprache gibt den Sachverhalt kurz und präzise wieder; die erste Version ist aber doch wohl anschaulicher.) Abb. zum Satz des Pappos Die gelben Punkte sind beweglich. name="lang" value="deutsch"> Abb. zum Satz des Brianchon Die gelben Punkte sind z. T. beweglich. archive="Geonet.jar"> PARAM name="animate" value="0,25">name="lang" value="deutsch">

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