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         Brianchon Charles:     more detail

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

    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 : 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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