1. Brocard Biography of Henri Brocard (18451922) http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

2. Historical Notes Henri Brocard (18451922) discovered a number of properties associated with the points, triangles and circles now named after him. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

3. Henri Brocard Henri Brocard 18451922 http//www-history.mcs.st-andrews.ac.uk. .. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

4. Ivars Peterson's MathTrek - Pursuing Pursuit Curves spot is known as a Brocard point, named for French army officer Henri Brocard (18451922). In general, a triangle has two Brocard points. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

5. Henri Brocard Henri Brocard. 18451922 http//www-history.mcs.st-andrews.ac.uk/history/Mathematicians/Brocard.html Students. Graph Theory Publications http://www1.cs.columbia.edu/~sanders/graphtheory/people/Brocard.H.html

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6. D Cision N 85-191 DC Du 10 Juillet 1985 - Loi Portant Diverses DENIAU, Michel PERICARD, JeanClaude GAUDIN, Jean BROCARD, Henri BAUDOUIN, Jean SEITLINGER, Fran ois d'AUBERT, Joseph-Henri MAUJOUAN DU http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

7. Full Alphabetical Index Brioschi, Francesco (211*) Briot, Charlese (1056) Brisson, Barnab (332) Britton, John (688*) Brocard, Henri (99) Brodetsky, Selig (598 http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

8. Livres Num Ris S / Digitalized Books Biblioth Que Nationale De Baruch, Alfred (1) Boethius (1) Brocard, Henri Pierre Jean Baptiste (2) Bass, Edgar W. (1) Bograd, Jacob (1) Broch, Ole Jacob (1) http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

9. Quaternion References BROCARD, HENRI Th orie et applications des quipollences, par C. A. Laisant. Compte rendu bibliographique. Mathesis, 7, 184185, 1887. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

10. Ce Que Sont Devenus Les Criminels Nazis B raud Henri ( crivain et journaliste, ditorialiste de Gringoire d s 1930, ses campagnes de haine poussent au suicide Roger Salengro en http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

11. Matematici A-C - Wikipedia Brocard, Henri (Vignot, Francia, 12 maggio 1845 Bar-le-Duc, Francia, 16 gennaio 1922) http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

12. Henri Brocard - Wikipedia Translate this page Pierre René Jean Baptiste Henri Brocard (Vignot, Commecy, Francia, 12 maggio1845 - Bar-le-Duc, Francia, 16 gennaio 1922) fu un matematico francese che, http://it.wikipedia.org/wiki/Henri_Brocard

Wikimedia ha bisogno del tuo aiuto nella sua raccolta fondi per 200.000$. Per i dettagli leggi qui Henri Brocard Da Wikipedia, l'enciclopedia libera. Pierre Ren© Jean Baptiste Henri Brocard (Vignot, Commecy, Francia 12 maggio - Bar-le-Duc, Francia, 16 gennaio ) fu un matematico francese che, insieme a Emile Lemoine e Joseph Neuberg , viene considerato uno dei fondatori della moderna geometria del triangolo. Divent² ufficiale delle forze armate e si occup² anche di meteorologia . Brocard si dedic² alla geometria, in particolare allo studio del triangolo , a lui si deve la scoperta dei punti, dell' angolo , del cerchio e dei triangoli che portano il suo nome. Nel partecip² al Congresso di Algeri durante il quale dimostr² che il cerchio di Brocard passa per sette punti notevoli; per questo il cerchio di Brocard viene anche detto cerchio dei sette punti Ricavato da " http://it.wikipedia.org/wiki/Henri_Brocard Categorie Matematici francesi Biografie Views Articolo Discussione Modifica Cronologia Strumenti personali Entra o crea un nuovo accesso Navigazione Pagina principale Portale comunit  Attualit  Ultime modifiche ... Donazioni Ricerca strumenti Puntano qui Modifiche correlate Upload Pagine speciali ... Link permanente Altre lingue Nederlands Ultima modifica 18:15, Mar 29, 2005.

13. AAIHP - 23507 Aihp Translate this page BROCA Robert - 1921 brocard henri - 1932 BROCARD Michel - 1971 BROCAS Elsa - 1997BROCHARD Christian - 1970 BROCHARD Gita - 2000 BROCHARD Laurent - 1981 http://www.aaihp.fr/aihp2004.php?Lettre=B

14. Amburger Datenbank Namen Abfrage Bi Bis Bz Brocard Emil (Andr.) = 7439 brocard henri (Afanas.)= 7440 Brocette Louis = 7442 Brochard François = 7025 http://www.lrz-muenchen.de/~oeihist/amb-bi.htm

Bianchi (Andrej Petroviè) => 89800 Bianchi (Fedor Ivanoviè) => 5653 Bianchi (Ignatij Jakovleviè) => 92335 Bianchi (Ivan) => 5654 Bianchi (Lev Valentinoviè) => 5657 Bianchi (Nikolai Ignat'eviè) => 5658 Bianchi (Vitalij Valentinoviè) => 5660 Bianchi Aloysius => 58353 Bianchi Aloysius => 8526 Bianchi Bianchini Anton => 92336 Bianchi Ivo (L'vov.) => 56194 Bianchi Ivo (L'vov.) => 7097 Bianchi Ivo (L'voviè) => 5655 Bianchi Jacopo => 56195 Bianchi Jacopo => 7098 Bianchi Jacques => 5656 Bianchi Joseph (Karloviè) => 5964 Bianchi Manuil => 5658 Bianchi Valentin (L'voviè) => 8527 Bianchi Valentin (L'voviè) => 58354 Bianchi Viktor (Ivanoviè) => 8528 Bianchi Viktor (Ivanoviè) => 58355 Bianchini Ferdinand (Filip.) => 58356 Bianchini Ferdinand (Filip.) => 8529 Bianco Pietro => 5661 Bianken Anton => 92336 Biankien (Ivan Petroviè) => 10610 Biankien Jeremias => 10611 Bibau Cornelius => 6976 Biber Alfred Karl August (Avgustoviè) => 10612 Biber Auguste (Avgust Karlov.) => 7645 Biber Eduard Friedrich (Fed.) => 10613 Biber Eugen Eduard Cölestin (Evgen.) => 10614 Biber Jakob => 10562 Biber Johanna Marie => 10615 Biber Karl Friedrich Eugen (Davidov.) => 7646

15. Brocard Biography of henri brocard (18451922) henri brocard was a French army officerwho studied meteorology but is best remembered for his work on the http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Brocard.html

Born: 12 May 1845 in Vignot (part of Commercy), France Died: 16 Jan 1922 in Bar-le-Duc, France Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Version for printing Henri Brocard was a French army officer who studied meteorology but is best remembered for his work on the triangle. The Brocard points of a triangle ABC are O O ' where OAB OBC and OCA and the angles O BA O CB and O AC are equal. [Draw a circle tangent to AB at A passing through C ; another tangent to BC at B passing through A ; a third tangent to CA at C passing through B . They are concurrent at O .] Angle OAB is called the Brocard angle and satisfies cot OAB = cot A + cot B + cot C Article by: J J O'Connor and E F Robertson Click on this link to see a list of the Glossary entries for this page List of References (2 books/articles) Mathematicians born in the same country Other references in MacTutor Chronology: 1870 to 1880 Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index History Topics Societies, honours, etc. ... Anniversaries for the year JOC/EFR February 1997 School of Mathematics and Statistics University of St Andrews, Scotland

16. References For Brocard References for the biography of henri brocard. References for henri brocard.Biography in Dictionary of Scientific Biography (New York 19701990). http://www-groups.dcs.st-and.ac.uk/~history/Printref/Brocard.html

References for Henri Brocard Biography in Dictionary of Scientific Biography (New York 1970-1990). Articles: L Guggenbuhl, Henri Brocard and the Geometry of the triangle, Mathematical Gazette February 1997 MacTutor History of Mathematics [http://www-history.mcs.st-andrews.ac.uk/References/Brocard.html]

17. Quaternion References brocard, henri Applications mécaniques du calcul des quaternions, brocard,henri Introduction à la méthode des quaternions, par CA Laisant. http://home.att.net/~t.a.ell/QuatRef.htm

Home Resume Research Travel [ Bibliography ] Photo Archive T his page contains a bibliography of quaternions and their applications. If you have authored or are aware of material written on quaternions and their application that is not contained within this list, please contact me via email with the reference or try my Mail Form . I will be glad to include it the next time I update this list. T. A. Ell A Abbott, Edwin A.: FLATLAND: A Romance of Many Dimensions . Basil Blackwell-Oxford, 1962. Abdel-khalek, Khaled: Quaternion Analysis , Dipartimento di Fisica-Universita di Lecce-Lecce, 73100, Italy, 1996. Abonyi, I.: Quaternion Representation of Lorentz Group for Classical Physics Abraham, Max: Ueber einige bei Schwingungsproblemen auftretende Differentialgleichungen . Math. Ann. 52, p. 81—112, 1899. Abraham, Max: Geometrisehe Grundbegriffe . Encykl. d. math, Wiss., 4, p. 3—47, 1901 Acheson, Paulette Bootz: Multimedia Application Of Quaternions (Object Rotation) , M.Sc. dissertation, University Of Southern California 1997. Aeberli, G.:

18. Brocard Points -- From MathWorld They were described by French army officer henri brocard in 1875, although theyhad previously been investigated by Jacobi Eric Weisstein s World of http://mathworld.wolfram.com/BrocardPoints.html

INDEX Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics ... Alphabetical Index DESTINATIONS About MathWorld About the Author Headline News ... Random Entry CONTACT Contribute an Entry Send a Message to the Team MATHWORLD - IN PRINT Order book from Amazon Geometry Plane Geometry Triangles ... Triangle Centers Brocard Points The first Brocard point is the interior point (also denoted or ) of a triangle with points labeled in counterclockwise order for which the angles , and are equal, with the unique such angle denoted . It is not a triangle center , but has trilinear coordinates (Kimberling 1998, p. 47). Note that extreme care is needed when consulting the literature , since reversing the order in which the points of the triangle are labeled results in exchanging the Brocard points. The second Brocard point is the interior point (also denoted or ) for which the angles , and are equal, with the unique such angle denoted . It is not a triangle center , but has trilinear coordinates (Kimberling 1998, p. 47). Moreover, the two angles are equal, and this angle is called the

19. Math Trek: Pursuing Pursuit Curves, Science News Online, July 14, 2001 as a brocard point, named for French army officer henri brocard (1845–1922).In general, a triangle has two brocard points. In the equilateral case, http://se02.xif.com/articles/20010714/mathtrek.asp

Science News Books. Subscribe to Science News ... Science News for Kids Math Trek Pursuing Pursuit Curves Food for Thought A Brew for Teeth—and the Rest of You Science Safari Kelp! Kelp! TimeLine 70 Years Ago in Science News Week of July 14, 2001; Vol. 160, No. 2 Pursuing Pursuit Curves Ivars Peterson A pursuit curve is the path an object takes when chasing another object. Such a path might result from a fox pursuing a rabbit or a missile seeking a moving target. This set of superimposed "snapshots" shows the lines of sight at regular intervals of four "bugs" chasing one another, all moving at the same speed after starting at the corners of a square. Courtesy of John Sharp. More formally, a pursuer must always head directly toward the pursued, and the pursuer's speed must be proportional to or match that of the pursued. Plotting the lines of sight at regular intervals and tracing out the corresponding paths can produce fascinating patterns. Pursuit curves can arise in a variety of situations and may involve more than one pursuer. Suppose that a person stands at each corner of a square traced out on the ground. Each person looks directly at the person to his or her left, then begins to walk toward that person. If all four people move at the same time and at the same constant speed, each person follows a spiral path toward the square's center. The following recipe for drawing pursuit curves works with squares and other regular polygons: The first two steps in drawing pursuit curves based on a square.

20. Ivars Peterson's MathTrek - Pursuing Pursuit Curves as a brocard point, named for French army officer henri brocard (18451922).In general, a triangle has two brocard points. In the equilateral case, http://www.maa.org/mathland/mathtrek_7_16_01.html

Search MAA Online MAA Home Ivars Peterson's MathTrek July 16, 2001 Pursuing Pursuit Curves A pursuit curve is the path an object takes when chasing another object. Such a path might result from a fox pursuing a rabbit or a missile seeking a moving target. More formally, a pursuer must always head directly toward the pursued, and the pursuer's speed must be proportional to or match that of the pursued. Plotting the lines of sight at regular intervals and tracing out the corresponding paths can produce fascinating patterns. This set of superimposed "snapshots" shows the lines of sight at regular intervals of four "bugs" chasing one another, all moving at the same speed after starting at the corners of a square. Courtesy of John Sharp. Pursuit curves can arise in a variety of situations and may involve more than one pursuer. Suppose that a person stands at each corner of a square traced out on the ground. Each person looks directly at the person to his or her left, then begins to walk toward that person. If all four people move at the same time and at the same constant speed, each person follows a spiral path toward the square's center. The following recipe for drawing pursuit curves works with squares and other regular polygons: The first two steps in drawing pursuit curves based on a square. Courtesy of John Sharp.

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