21. The Science Bookstore - Chronology brocard, henri Born 5/13/1845, 1845 AD. Cantor, Georg Born 3/3/1845 Died 1/6/1916,1845 AD. Versluys, Jan Born 2/1/1845, 1845 AD. Backlund, Victor http://www.thesciencebookstore.com/chron.asp?pg=18

22. History Of Mathematics henri brocard (1873 CE) henri brocard was a French army officer who studiedmeteoroly but is best remembered for his work on the triangle. http://www.meta-religion.com/Mathematics/Articles/history_of_mathematics.htm

to promote a multidisciplinary view of the religious, spiritual and esoteric phenomena. About Us Links Search Contact ... Science home Religion sections World Religions New Religious Groups Ancient Religions Spirituality ... Extremism Science sections Archaeology Astronomy Linguistics Mathematics ... Contact The Web Metareligion More sections: Subscribe to the Metareligion Newsletter Photography Submit your site Suggest an article ... Polls Please, help us sustain this free site online. Make a donation using Paypal: History of Mathematics 3000 B.C. ARISTOTLE-DEDUCTIVE LOGIC (340 B.C.E.) Aristotle wrote a book called "TOPICS" which started out with a discussion of deductive logic. The whole world reestablished this book starting with the Islamic translation on through time. THALES, FOUNDER OF GREEK GEOMETRY (585 B.C.E.) The birth of Greek astronomy has been attributed to Thales of Miletus. Thales brought from Egypt a number of fundamental geometric principles. Thales, an Ionian (western border of Asia Minor) who was active near the start of the sixth century bc has been credited with a number of geometric theorems. 1. A Circle is bisected by its diameter. 2. Angles at the base of any isosceles triangle are equal. 3. If two straight lines intersect the opposite angles formed are equal. 4. If two triangles have two angles and one side respectively equal, the triangles are equal in all respects. Thales was also well known for forecasting the solar eclipse, so he was also considered a scientist.

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24. DML: Digital Mathematics Library: Retrodigitized Mathematics Journals And Monogr (by brocard, henri Pierre Jean Baptiste), 1919, book. 38, Michigan Cours d analyseinfinitésimale, par Ch.-J de la Vallée Poussin. (by La Vallée Poussin, http://www.mathematik.uni-bielefeld.de/~rehmann/DML/dml_links_title_C.html

DML: Digital Mathematics Library Also: WDML: World Digital Mathematics Library Retrodigitized Mathematics Journals and Monographs Contains links to 1874 digitized books (> 385236 pages ) and to 145 digitized journals (> 2942143 pages). (Numbers of pages are preliminary; not all informations are already available.) Includes all the links mentioned on page 920 of: Allyn Jackson, "The Digital Mathematics Libary", Notices Amer. Math. Soc., vol. 50 (8), 2003 Local Copy A similar list is offered at http://www.wdml.org The database for this table is an ASCII based (ISO Latin 8859-1 extended) list , which may be parsed by this PERL script If you want items to be added here, please send me the necessary data. Lists ordered by "Journal", "Repository" (Journals only) or by "Author name", "Title" are provided, as well as an overview of the repositories Author: A B C D ... Z Title: A B C D ... Z Nr. Repository: Title, Author: Pages: Year(s): Type: Michigan C. G. J. Jacobi's Gesammelte werke. (by Jacobi, C. G. J. (Carl Gustav Jakob)) book Michigan C. G. J. Jacobi's Vorlesungen über Dynamik. Gehalten an der Universität zu Königsberg im Wintersemester 1842-1843 und nach einem von C. W. Borchart ausgearbeiteten Hefte.

25. DML: Digital Mathematics Library: Retrodigitized Mathematics Journals And Monogr 188, Michigan brocard, henri Pierre Jean Baptiste Notes de bibliographie descourbes géométriques, par H. brocard. 189799. book http://www.mathematik.uni-bielefeld.de/~rehmann/DML/dml_links_author_B.html

DML: Digital Mathematics Library Also: WDML: World Digital Mathematics Library Retrodigitized Mathematics Journals and Monographs Contains links to 1874 digitized books (> 385236 pages ) and to 145 digitized journals (> 2942143 pages). (Numbers of pages are preliminary; not all informations are already available.) Includes all the links mentioned on page 920 of: Allyn Jackson, "The Digital Mathematics Libary", Notices Amer. Math. Soc., vol. 50 (8), 2003 Local Copy A similar list is offered at http://www.wdml.org The database for this table is an ASCII based (ISO Latin 8859-1 extended) list , which may be parsed by this PERL script If you want items to be added here, please send me the necessary data. Lists ordered by "Journal", "Repository" (Journals only) or by "Author name", "Title" are provided, as well as an overview of the repositories Author: A B C D ... Z Title: A B C D ... Z Nr. Repository: Author, Title (Books only): Pages: Year(s): Type: Cornell Bachelier, Louis Jean Baptist : Calcul des probabilités, Tome I book GDZ Bachmann, Fridericus

26. The Moscow News henri brocard, the founder of Europe s largest perfumery factory, Connoisseurs ofart also knew another henri brocard an avid collector. http://english.mn.ru/english/issue.php?2003-21-10

27. Discussioni Utente:.mau./Archivio05q1 - Wikipedia henri brocard per gli amici henri Lui http//www-groups.dcs.st-and.ac.uk/~history/Mathematicians/brocard.html? http://it.wikipedia.org/wiki/Discussioni_utente:.mau./Archivio05q1

Wikimedia ha bisogno del tuo aiuto nella sua raccolta fondi per 200.000$. Per i dettagli leggi qui Discussioni utente:.mau./Archivio05q1 Da Wikipedia, l'enciclopedia libera. Discussioni utente:.mau. Indice articolo ABABCCDD don Paolo Horatius ... modifica articolo ciao Maurizio, stavo facendo un giro tra gli articoli di linguistica e sono capitata sull'articolo Caso (grammatica) che mi pare sia il tuo. Visto che ti ¨ venuto cos¬ bene e che sei arrivato a riprendere i link dei casi fino al genitivo per favore , potresti farmi un regalo di Anno Nuovo e completare i casi? Se non ne hai voglia, pazienza. Io ci ho tentato! Buon Anno comunque, anche se in ritardo. Paola 22:21, Gen 8, 2005 (UTC) modifica ABABCCDD Si. E' una ottava! in Toscana era ABABABCC. Adesso vado a vedere qualcosa del Poliziano, cos¬ verifico con i miei occhi. Ciao Paola 22:48, Gen 23, 2005 (UTC) modifica don Paolo ciao Maurizio, e grazie di cuore degli auguri di buon compleanno!!!! don Paolo dimmi che te ne pare 18:35, Feb 8, 2005 (UTC) modifica Horatius Ciao! Mi preme intervenire sulla tua correzione di tetravillotomia per chiarire quello che sar  il mio prossimo intervento (cancellazione). Mi rendo conto che la spiegazione dell'errore di cui parlo nell'articolo non ¨ una spiegazione ma si trattava di restare sulle generali per non affondare il coltello sulle mie piaghe. L'errore infatti ¨ stato mio. Un errore di citazione della

28. TRIANGLE GEOMETERS Court also describes seminal papers by henri brocard and J. Neuberg and namesLemoine, brocard, and Neuberg as the three cofounders of modern triangle http://faculty.evansville.edu/ck6/bstud/tg.html

Triangle Geometers Euclid's Elements and other remnants from 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. An astonishing wave of interest and publications in triangle geometry swept through the last years of the 19th century and then collapsed during the early years of the 20th. However, many new gemstones in the fields of triangle geometry remained to be unearthed with new excavating tools, such as computers and methods from other areas of mathematics. All of this has led to the state of the art up to 1995, as described in Philip J. Davis

29. BICENTRIC PAIRS The most widely studied example is the pair of brocard points, henri brocard scontributions regarding the points that now bear his name are traced back http://faculty.evansville.edu/ck6/encyclopedia/BicentricPairs.html

BICENTRIC PAIRS OF POINTS Definition of bicentric pairs. Suppose f(a,b,c) : f(b,c,a) : f(c,a,b) is a point that satisfies requirement (1) in the definition of triangle center (in Glossary not f(a,b,c) : f(b,c,a) : f(c,a,b) and f(a,c,b) : f(b,a,c) : f(c,b,a) are a bicentric pair of points , or simply, a bicentric pair. The most widely studied example is the pair of Brocard points, given in trilinear coordinates by c/b : a/c : b/a and b/c : c/a : a/b. Following are operations which carry bicentric pairs P = p : q : r and U = u : v : w onto triangle centers. For two of these operations, it is necessary that p, q, r and u,v,w be represented by f(a,b,c), f(b,c,a), f(c,a,b) and f(a,c,b), f(b,a,c), f(c,b,a). Operation Trilinears Trilinear product pu: qv : rw Barycentric product apu: bqv: crw Bicentric sum p + u : q + v : r + w Bicentric difference p - u : q - v : r - w Crosssum qw + rv : ru + pw : pv + qu Crossdifference qw - rv : ru - pw : pv - qu Trilinear pole of line PU 1/(qw - rv) : 1/(ru - pw) : 1/(pv - qu) Ideal point of line PU p(bv+cw) - u(bq+cr) : q(cw+au) - v(cr+ap) : r(au+bv) - w(ap+bq) Midpoint kp + hu : kq + hv : kr + hw, where h = ap + bq + cr and k = au + bv + cw

30. Russian Perfume At The Russian Shop In Lisle Illinois henri brocard, the founder of Europe s largest perfumery factory, was the greatestperfume maker of all times and nations. His factory was based in Moscow http://www.therussianshop.com/russhop/imperial/perfume.htm

Russian Perfume. "Krasnaya Moskva", or "Red Moscow" (also known as "The Empress's Favorite Bouquet" has been a favorite for many generations. The perfumier, "Novaya Zarya", is based in Moscow, and has been producing perfumes and colognes for over 150 years. Henri Brocard, the founder of Europe's largest perfumery factory, was the "greatest perfume maker of all times and nations." His factory was based in Moscow. Born in France, Brocard came to Russia in 1861. For many years Brocard was chief scientist at his works and he became famous as an inventor of wonderful scents. His factory, renamed "Novaya Zarya", or "New Dawn" produced the scent called "The Empress's Favorite Bouquet" that in the Soviet era was renamed "Red Moscow" and became famous throughout the world. This high-quality perfume (a blend of jasmine and bergamot) is comparable to the best in the world. But at a price that only the Russians can afford to sell for. Large faceted bottle with spritzer holds 3.4 fl. oz. and comes with a decorative cap in the form of a cupola. Small bottle holds 1.35 fl. oz. Only $18 large bottle or $10 for the small.

31. CIM Bulletin #16: Gallery: Francisco Gomes Teixeira henri brocard presented Vocabulaire des Courbes Géométriques et Notes Bibliographiques,which, being written in French, was not admitted for the prize http://at.yorku.ca/i/a/a/h/67.htm

Topology Atlas Document # iaah-67 from CIM Bulletin #16 Gallery: Francisco Gomes Teixeira th January 1851. He went to school at his native village and to the Liceu in Lamego. After a period of uncertainty regarding his future, during which he hesitated between Theology and Mathematics, he entered the University of Coimbra, the only one in Portugal at the time, and completed his degree in Mathematics in 1885 with the highest classification. He was still a student when he published . He sent this work to Daniel Augusto da Silva (1814-1878), a Navy officer, author of some important work on Number Theory and on Mechanics, Professor at the Escola Naval in Lisbon and by then the most respected Portuguese mathematician. Da Silva acknowledged the reception of this work with words of high praise, encouragement and support. It was the beginning of a friendship that only finished with Da Silva's death. In 1875 Gomes Teixeira presented a thesis , with which he obtained his doctor degree again with the highest classification. The following year he obtained a professorship with the work . In 1878 he also became a member of the . Da Silva writes: This letter must have made a strong impression in the mind of the young mathematician, making him realise the isolation of the Portuguese scientific community. He soon began to fight this isolation: he wrote the main original results of his thesis in French and sent them to the

32. Historical Notes henri brocard (18451922) discovered a number of properties associated with thepoints, triangles and circles now named after him. http://s13a.math.aca.mmu.ac.uk/Geometry/TriangleGeometry/HistoricalNotes.html

HISTORICAL NOTES Apollonius (c262-190 BC): Alexandrian geometer author of various books including the lost book on plane loci which is known from various commentators to have given the theorem about circles associated with the angle bisectors of a triangle. Bodenmiller (19th century re-discovered the theorem about the midpoints of diagonals of a quadrilateral now also ascribed to Gauss. Henri Brocard (1845-1922): discovered a number of properties associated with the points, triangles and circles now named after him. Giovanni Ceva (?1647-?1736): discovered theorems about points on the sides of a triangle (see glossary); the one for collinear points is now ascribed to the first century Alexandrian geometer, Menelaus. Leopold Crelle (1780-1855): engineer and editor of famous mathematical journal; he discovered various properties of triangles including the points now named after Brocard. He claimed that "it is wonderful that so simple a figure as the triangle is so inexhaustible". Euclid (c300 BC): author of the Elements the influential systematic account of geometry including many theorems about triangles. Leonhard Euler (1707-1783): prolific Swiss mathematician who established that certain special points of a triangle lay on a line - now named after him.

33. Bois De Jasmin: Russian Perfumery And Red Moscow henri brocard was one of the famous European perfumers at the time, with one ofhis factories based in Moscow. brocard came to Russia from France in 1861, http://boisdejasmin.typepad.com/_/2005/06/russian_perfume.html

Bois de Jasmin Perfume Reviews and Thoughts on All Topics Fragrance Related About Subscribe Click here to subscribe to Bois de Jasmin Advertisement Fragrance Links Information, from A to Z Perfume Shopping Perfume Houses (links to 200+ sites) Favourite Blogs Alabaster Brow Blogdorf Goodman Brain Trapped in Girl's Body C'est Chic ... Subscribe to this blog's feed Misc var site="sm5boisdejasmin" Main June 23, 2005 Russian Perfumery and Red Moscow Krasnaya Moskva (Red Moscow) is a heavy carnation based fragrance, with a lemony coriander note slicing through the powderiness. The base features an interplay between cool and warm notes. I cannot even review Krasnaya Moskva on its merits alone, because the associations are too strong. The moment I smell it, I am 10 years old again, being lectured on the young pioneer’s creed by some female Communist Party functionary. Since Bolsheviks deemed perfumes as bourgeois extravagance, Krasnaya Moskva is the only Soviet Russian perfume I remember, along with something called Chypre . As a child, I recall buying a bottle for my grandfather, however my grandmother vetoed the present, referring to Chypre as something that alcoholics buy when vodka is out of stock. No wonder, it took me a long time to appreciate chypre fragrances.

34. New Dictionary Of Scientific Biography brocard, Pierre René Jean Baptiste henri Brooks, William Robert Brouwer, DirkBrown, Ernest William Bruhns, Karl Christian Brytte, Walter Buot, Jacques http://www.indiana.edu/~newdsb/astor.html

Make Suggestions Astronomical Sciences Abbe, Cleveland Abetti, Antonio Abney, William de Wiveleslie Abraham Bar ?iyya Ha-Nasi Ab?'l-Waf al-B?zj?n?, Mu?ammad Ibn Mu?ammad Ibn Ya?y? Ibn Ism?l Ibn al- ?Abb?s Acyuta Pira?i Adams, John Couch Adelard of Bath Ailly, Pierre d' Airy, George Biddell Aitken, Robert Grant Albrecht, Carl Theodor Alfonso El Sabio Alzate y Ramírez, José Antonio Anaximander Andoyer, Henri André, Charles Louis François Angelus, Johannes Ångstrüm, Anders Jonas Anthelme, Voituret Antiphon Antoniadi, Eugène M. Apian, Peter Arago, Dominique François Jean Aratus of Soli Argelander, Friedrich Wilhelm August Argoli, Andrea Aristarchus of Samos Aristotle Aristyllus Arrest, Heinrich Louis d' Asada G?ry? Autolycus of Pitane Auwers, Arthur Julius Georg Friedrich von Auzout, Adrien Baade, Wilhelm Heinrich Walter Babinet, Jacques Backlund, Jüns Oskar Bailey, Solon Irving Bailly, Jean-Sylvain Baily, Francis Banachiewicz, Thaddeus Ban? M?s? Baranzano, Giovanni Antonio

35. Famous Mathematicians With AB henri brocard Selig Brodetsky Louis duc de Broglie Thomas Bromwich Jacob BronowskiWilliam Brouncker Ernest Brown Marjorie Browne Filippo Brunelleschi http://www.famousmathematician.com/az/mathematician_B.htm

Mathematicians - B Charles Babbage Claude Bachet Paul Bachmann John Backus Roger Bacon Reinhold Baer Abu al-Baghdadi Rene-Louis Baire Alan Baker Henry Baker Johann Balmer Stefan Banach Benjamin Banneker Ahmad Banu Musa Jafar Banu Musa Abraham bar Hiyya Joseph Emile Barbier Nina Bari Peter Barlow Ernest Barnes Franciscus Barocius Isaac Barrow Francesco Barozzi Erasmus Bartholin George Batchelor Harry Bateman Guiseppe Battaglini Baudhayana Abu al-Battani Agnes Baxter Thomas Bayes Jean Beaugrand Ulugh Beg Eric Temple Bell John Bell Giusto Bellavitis Eugenio Beltrami Abraham ben Ezra Levi ben Gerson Jacob ben Tibbon Ivar Otto Bendixson Giovanni Benedetti Stefan Bergman George Berkeley Paul Isaac Bernays Daniel Bernoulli Jacob Bernoulli Johann Bernoulli Nicolaus Bernoulli Felix Bernstein Sergi Bernstein Lipa Bers Eugenio Bertini Alexis des Bertins Joseph Bertrand Lugwig Berwald William Berwick

36. MathBirthdays - Thursday, May 12 1845 Pierre René Jean Baptiste henri brocard. 1851 Samuel Dickstein. 1857 OskarBolza. 1865 Thomas Scott Fiske. 1902 Frank Yates http://educationaltechnology.ca/dan/calendars/day.php?cal=mathBirthdays&getdate=

37. MathBirthdays - Thursday, May 12 Time, All day event. Summary, 1845 Pierre René Jean Baptiste henri brocard.Time, All day event. Summary, 1851 Samuel Dickstein. Time, All day event http://educationaltechnology.ca/dan/calendars/print.php?cal=mathBirthdays&getdat

38. Constructie Van De Brocard-hoek Deze constructie is gegeven door brocard (henri brocard, 18451922, Frankrijk)in Nouvelles Correspondances mathématiques (ed. MEC Catalan) in 1880. http://www.pandd.demon.nl/lemoine/brocardhoek.htm

Constructie van de Brocard-hoek Overzicht Brocard-punten Brocard-driehoeken Meetkunde Overzicht Constructie Gevolgen Eenvoudige constructie van het 1e Brocard-punt 1. Constructie Op de pagina " Punten van Brocard " is de Brocard-hoek geïntroduceerd door het 1e Brocard-punt mbv. in een hoekpunt aan de zijden van de driehoek rakende cirkels te construeren. Hieronder (en in paragraaf 3 ) volgt een eenvoudiger constructie van de Brocard-hoek. We gaan uit van de raaklijnen CD en BG in C en B aan de omcirkel. Deze lijnen snijden de lijn door A evenwijdig met BC in D en G. ACD = ABC (omtrekshoeken op dezelfde boog) DCH = A (de hoeken C, B, A vormen in C een gestrekte hoek) Zij nu DBC = w. Dan is ook GCB = w (CDGB is een gelijkbenig trapezium). Zij verder DH = h. BH = h cot w CH = h cot DCH = h cot A BC = BA' + A'C = h cot B + h cot C BH = BC + CH = h (cot A + cot B + cot C) Uit (1) en (2) volgt dan: cot w = cot A + cot B + cot C zie de pagina "Punten van Brocard", Stelling 8 w is dus (inderdaad) de Brocard-hoek van de driehoek.

39. Brocard-driehoeken De lijn KO heet de brocardas van de driehoek (naar henri brocard, 1845-1922,Frankrijk). brocardd2.gif (3447 bytes), We bekijken nu de driehoek waarvan de http://www.pandd.demon.nl/lemoine/brocarddrieh.htm

Brocard-driehoeken Overzicht Brocard-punten Brocard-cirkel Isogonale verwantschap ... Meetkunde Zie ook de pagina " Constructie van de Brocard-hoek " Zie ook de pagina " Gelijkvormigheid (van drie figuren) " Overzicht Definitie 1e Brocard-driehoek Het 3e Brocard-punt Zwaartepunt Definitie 2e Brocard-driehoek ... Download 1. Definitie 1e Brocard-driehoek We gaan uit van een driehoek ABC met daarin de beide Brocard-punten W en W' De cirkel door W, W', K ( Lemoine-punt ) en O (omcentrum) is de zogenoemde Brocard-cirkel van driehoek ABC. Een middellijn van de Brocard-cirkel is KO. De lijn KO heet de Brocard-as van de driehoek (naar Henri Brocard , 1845-1922, Frankrijk). We bekijken nu de driehoek waarvan de hoekpunten P, Q, R de tweede snijpunten van opvolgend BW, CW, AW met de Brocard-cirkel zijn. PQR heet 1e Brocard-driehoek van ABC. (Zie eventueel ook de pagina " Constructie van de Brocard-hoek "). Opmerking We gebruiken dus het 1e Brocard-punt om driehoek PQR te genereren. Als we het 2e Brocard-punt gebruiken vinden we dezelfde driehoek.

40. Review Of The Changing Shape Of Geometry articles on Babylonian, Greek, Chinese, Islamic, Indian mathematics and therole of more recent mathematicians, Girard Desargues and henri brocard. http://www.cut-the-knot.com/books/Reviews/changingshape.shtml

Username: Password: Sites for teachers Sites for parents Awards Interactive Activities ... Sites for parents The Changing Shape of Geometry: Celebrating a Century of Geometry and Geometry Teaching edited by Chris Pritchard The book is an expanded collection of 57 articles published in Mathematical Gazette and Mathematics in School Elements and geometry was universally "viewed as the ideal vehicle for developing an understanding of formal proof" (p. 3). The first Teaching Committee was formed thirty years later (1902) to help design curriculum, assist mathematics teachers with advice and resources, and "to seek to influence national policies on mathematics education." This book celebrates the first centenary of Teaching Committee. The tone for the book is set in the General Introduction The articles have been grouped into six parts. The selection of articles is excellent, starting with the two presidential addresses What Is Geometry? that constitute Part I. For G. H. Hardy (1925), geometry is a collection of logical systems, while "the elementary geometry of schools and universities is not this or that geometry, but a most disorderly and heterogeneous collection of fragments from a dozen geometries or more." For M. Atiyah (1982), "...geometry is that part of mathematics in which visual thought is dominant. ...geometry is not so much a branch of mathematics as a way of thinking that permeates all branches." Part II, The History of Geometry, gathers articles on Babylonian, Greek, Chinese, Islamic, Indian mathematics and the role of more recent mathematicians, Girard Desargues and Henri Brocard. A short article by J. H. Webb took me by surprise. I was unaware of the popular English definition of a straight line as "the shortest distance between two points." Webb traces the usage to a mistranslation of Legendre's

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