Wantzel Pierre Laurent Wantzel. Born 5 du Commerce. Pierre Wantzel attendedprimary school in Ecouen, near Paris, where the family lived. http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Wantzel.html
Extractions: Pierre Wantzel 's father served in the army for seven years after the birth of Pierre, then became professor of applied mathematics at the Ecole speciale du Commerce. Pierre Wantzel attended primary school in Ecouen, near Paris, where the family lived. Even at a very young age he showed great aptitude for mathematics, and Saint-Venant relates in [4] that ... he showed, with his great memory, a marvellous aptitude for mathematics, a subject about which he read with extreme interest. He soon surpassed even his master, who sent for the young Wantzel, at age nine, when he encountered a difficult surveying problem. Bobillier By 1829, at the remarkably young age of 15, he edited a second edition of Reynaud 's Treatise on arithmetic In He was placed first in 1832 in the entrance examination to the Ecole Polytechnique and also first for the science section of the Ecole Normale. This had never previously been achieved and, as related in [3]:- ... he threw himself into mathematics, philosophy, history, music, and into controversy, exhibiting everywhere equal superiority of mind.
Pierre Laurent Wantzel Translate this page wantzel pierre-Laurent français, 1814-1848 Chargé de cours à l'EcolePolytechnique, ce jeune mathématicien, se référant à http://www.sciences-en-ligne.com/momo/chronomath/chrono1/Wantzel.html
Extractions: , de Descartes et de Gauss Abel Un tel nombre est donc Ainsi, n'est pas constructible et par suite et la duplication du cube est impossible. Par exemple, le nombre est constructible. Q et non constructible. quadrature du cercle p est transcendant Lindemann p . Il faut donc construire trisection de l'angle x : par projection, cos x = OH et la formule : x - 3cos x montre que cos Il est clair que les angles de 180° et 90° sont trisectables; d'ailleurs si x est trisectable, son double (par report) et sa moitié (bisection) le sont aussi Ainsi 45° est trisectable : Q p Or, il est facile de prouver ci-dessous Gauss Noter que les mathématiciens arabes avaient déjà soupçonné l'impossibilité de la trisection géométrique de l'angle en ramenant le problème, comme le fit ultérieurement Al-Biruni : N = b Donc b est pair. Posons b = 2c. Il vient a - c . Ainsi a divise a - c Gauss n k F F ...F m i des nombres de Fermat premiers. En particulier si n est premier de la forme , alors P
References For Wantzel References for pierre wantzel. Articles F Cajori, pierre Laurent wantzel,Bull. Amer. Math. Soc. 24 (1) (1917), 339347. A de Lapparent http://www-gap.dcs.st-and.ac.uk/~history/References/Wantzel.html
Biography-center - Letter W Mathematicians/Wangerin.html; wantzel, pierre wwwhistory.mcs.st-and.ac.uk/~history/Mathematicians/wantzel.html;Warburg, Otto Heinrich http://www.biography-center.com/w.html
Extractions: 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 457 biographies Waals, Johannes Diderik van der
Extractions: Mathematician Report Index Below is a list of mathematicians. You may choose from this list or report on a mathematician not listed here. In either case, you must discuss with me the mathematician you have chosen prior to starting your report. No two students may write a report on the same mathematician. I would advise you to go to the library before choosing your topic as there might not be much information on the mathematician you have chosen. Also, you should determine the topic early in the term so that you can "lock-in" your report topic!! The report must include: 1. The name of the mathematician. 2. The years the mathematician was alive. 3. A biography. 4. The mathematician's major contribution(s) to mathematics and an explanation of the importance. 5. A historical perspective during the time the mathematician was alive.
Full Alphabetical Index Translate this page van der (552*) Wald, Abraham (144*) Wallace, William (261*) Wallis, John (784*)Wang, Hsien Chung (649) Wangerin, Albert (46*) wantzel, pierre (1020) Waring http://www.geocities.com/Heartland/Plains/4142/matematici.html
Wantzel Biography of pierre wantzel (18141848) pierre wantzel's father served in the army for seven years after the birth of pierre, then became professor of applied http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Wantzel.html
Extractions: Pierre Wantzel 's father served in the army for seven years after the birth of Pierre, then became professor of applied mathematics at the Ecole speciale du Commerce. Pierre Wantzel attended primary school in Ecouen, near Paris, where the family lived. Even at a very young age he showed great aptitude for mathematics, and Saint-Venant relates in [4] that ... he showed, with his great memory, a marvellous aptitude for mathematics, a subject about which he read with extreme interest. He soon surpassed even his master, who sent for the young Wantzel, at age nine, when he encountered a difficult surveying problem. Bobillier By 1829, at the remarkably young age of 15, he edited a second edition of Reynaud 's Treatise on arithmetic In He was placed first in 1832 in the entrance examination to the Ecole Polytechnique and also first for the science section of the Ecole Normale. This had never previously been achieved and, as related in [3]:- ... he threw himself into mathematics, philosophy, history, music, and into controversy, exhibiting everywhere equal superiority of mind.
Cantor Translate this page L'ensemble des nombres constructibles (Thalès, wantzel) manifestement infini, estdonc dénombrable On pourra se référer à Cantor, par Jean-pierre Belna Ed http://www.sciences-en-ligne.com/momo/chronomath/chrono1/Cantor.html
Extractions: Le cardinal d'un ensemble fini puissance N des entiers naturels est infini mais on peut les "compter", les "dénombrer" : N est , ce terme est de Cantor. C'est aussi le cas de l'ensemble Q des nombres rationnels, mais pas celui de l'ensemble R des nombres réels. Le cardinal d'un ensemble fini est un nombre entier , celui d'un ensemble infini, comme N , est un nombre dit transfini transfinis Nombres cardinaux : Cauchy dans Q Meray Dedekind publiait sa construction par les coupures le terme de chez Cantor et simplement de nombre irrationnel chez Dedekind Grundlagen En 1873, afin de prouver que l'ensemble R bijection entre R et N diagonale de Cantor bijection Diagonale de Cantor et non dénombrabilité de R L'ensemble des nombres constructibles ( Wantzel R , de l'ensemble des nombres transcendants puissance du continu bijection avec R
Lebensdaten Von Mathematikern Translate this page 1768 - 1843) Wallis, John (23.11.1616 - 28.10.1703) Wang, Hsien Chung (1918 - 1978)Wangerin, Albert (1844 - 1933) wantzel, pierre (1814 - 1848) Waring, Edward http://www.mathe.tu-freiberg.de/~hebisch/cafe/lebensdaten.html
Extractions: Marc Cohn Dies ist eine Sammlung, die aus verschiedenen Quellen stammt, u. a. aus Jean Dieudonne, Geschichte der Mathematik, 1700 - 1900, VEB Deutscher Verlag der Wissenschaften, Berlin 1985. Helmut Gericke, Mathematik in Antike und Orient - Mathematik im Abendland, Fourier Verlag, Wiesbaden 1992. Otto Toeplitz, Die Entwicklung der Infinitesimalrechnung, Springer, Berlin 1949. MacTutor History of Mathematics archive A B C ... Z Abbe, Ernst (1840 - 1909)
Pronunciation Guide To Mathematicians Top. W- wantzel, pierre Laurent ? ; Waring,Edward ? (); Weierstrass, Karl Theodor http://puzzle.jmath.net/math/mathcian/
Wantzel And Sturm By Antreas P. Hatzipolakis wantzel. html The archivers give these references for W. 1. F Cajori, pierre Laurent wantzel, Bull. Amer. Math. http://mathforum.com/epigone/math-history-list/twergehcrol
Extractions: Subject: Wantzel and Sturm Author: xpolakis@hol.gr Date: Mon, 23 Nov 1998 14:57:36 +0200 Robin Hartshorne has found an error in Wantzel's proof of impossibility of trisecting the angle and doubling the cube problems (with ruler and compass) and asks for the next correct proof. See: http://forum.swarthmore.edu/epigone/historia_matematica/shermshoxphim http://www-groups.dcs.st-and.ac.uk./~history//Mathematicians/Wantzel.html The archivers give these references for W.: 1. F Cajori, Pierre Laurent Wantzel, Bull. Amer. Math. Soc. 24 (1)(1917), 339-347. 2. A de Lapparent, Ecole Polytechnique: Livre du Centenaire, 1794-1894 1 (1895), 133-135. 3. G Pinet, Ecrivains et Penseurs Polytechniciens (Paris, 1902), 20. 4. Saint-Venant, Biographie: Wantzel, Nouvelles Annales de Mathematiques (Terquem et Gerono) 7 (1848), 321-331. Question: Which was the Sturm's improvement of the W's proof? Antreas The Math Forum
Mathematical Mysteries: Trisecting The Angle the general case remained a mathematical mystery for millennia it was only in 1837that it was eventually proved to be impossible by pierre wantzel, a French http://plus.maths.org/issue7/xfile/
Extractions: Issue 23: Jan 03 Issue 22: Nov 02 Issue 21: Sep 02 Issue 20: May 02 Issue 19: Mar 02 Issue 18: Jan 02 Issue 17: Nov 01 Issue 16: Sep 01 Issue 15: Jun 01 Issue 14: Mar 01 Issue 13: Jan 01 Issue 12: Sep 00 Issue 11: Jun 00 Issue 10: Jan 00 Issue 9: Sep 99 Issue 8: May 99 Issue 7: Jan 99 Issue 6: Sep 98 Issue 5: May 98 Issue 4: Jan 98 Issue 3: Sep 97 Issue 2: May 97 Issue 1: Jan 97 Bisecting a given angle using only a pair of compasses and a straight edge is easy. But trisecting it - dividing it into three equal angles - is in most cases impossible. Why? If we have a pair of lines meeting at a point O, and we want to bisect the angle between them, here's how we do it. Bisecting angle AOB using straight edge and compasses.
The FAQchest - GUILDE Mailing List Archive Translate this page PCI. pierre-laurent wantzel. guilde00110907, lilo Mandrake, eth0. pierre-laurentwantzel. guilde00110907, lilo Mandrake, frederic giroud. http://www.faqchest.com/linux/GUILDE/guilde-00/guilde-0011/guilde-001101/
Extractions: Use either Google or Excite for your search. File Subject Contributor Re: Access Server avec Linux ? denis braussen Re: Hors-sujet: carte son SB Live. scalp Disque disparu ! yann forget Re: Hors-sujet: carte son SB Live. heurtaux vincent pierre-laurent wantzel pierre-laurent wantzel frederic giroud pierre-laurent wantzel Hors-sujet: carte son SB Live. pierre-laurent wantzel Imprimante herve picon Re: Tux Re: As400 sous linux stephane parenton Load balancing As400 sous linux xd Re: Synchroniser 2 serveurs francois-xavier kowal .. Re: Connexion active... ou pas. francois-xavier kowal .. Re: Attention ! GCC, mauvaise version!! francois-xavier kowal .. Re: [debian] apt alexandre vitrac Re: (Debian) Mouvements incontrolables d .. gilles carry Tux top -> alarme RE: (Debian) Mouvements incontrolables d .. (Debian) Mouvements incontrolables de la .. Recherche d'Outil d'indexation gregory mounie Re: [debian] apt Access Server avec Linux ?
The FAQchest - GUILDE Mailing List Archive pierrelaurent wantzel. guilde00102217, Re Partitions, olivier kaloudoff. pierre-laurentwantzel. guilde00102008, Fwd GUILDE-EDUC Offre de mission, fred. http://www.faqchest.com/linux/GUILDE/guilde-00/guilde-0010/guilde-001005/
Extractions: Use either Google or Excite for your search. File Subject Contributor Re: aide urgente sur conio.h edgar bonet aide urgente sur conio.h Re: emacs w/ debian benoit friry Re: emacs w/ debian Re: ipchains+controle d'@ MAC sebastien menant aide urgente sur conio.h benjamin gourlat ipchains+controle d'@ MAC sebastien menant Re: emacs w/ debian benoit friry Re: emacs w/ debian Re: emacs w/ debian yves martin pierre-laurent wantzel Re: Partitions olivier kaloudoff Partitions joel pinchinat Re: emacs w/ debian benoit friry rafael laboissiere Re: emacs w/ debian rafael laboissiere Re: patch openwall pour kernel 2.2.17 shaddai Re: olivier kaloudoff broccolee patch openwall pour kernel 2.2.17 shaddai Configurer vmware [guilde-extra] Linux et AOL xscanimage et staroffice52 heurtaux vincent presentation denis braussen emacs w/ debian benoit friry pierre-laurent wantzel [Fwd: [GUILDE-EDUC] Offre de mission] fred Re: Reconnaissance carte reseau PCMCIA X ..
Morse H.S. - Magnet/Mathematics Connections Augustin Louis Cauchy pierre de Fermat Evariste Galois Sophie GermainAlbert Girard Blaise Pascal Jean Richer pierre Laurent wantzel. http://mathforum.org/alejandre/morse/math.languages2.html
Wantzel And Sturm By Antreas P. Hatzipolakis wwwgroups.dcs.st-and.ac.uk./~history//Mathematicians/wantzel.html The archiversgive these references for W. 1. F Cajori, pierre Laurent wantzel, Bull. Amer. http://mathforum.org/epigone/math-history-list/twergehcrol
Extractions: Subject: Wantzel and Sturm Author: xpolakis@hol.gr Date: Mon, 23 Nov 1998 14:57:36 +0200 Robin Hartshorne has found an error in Wantzel's proof of impossibility of trisecting the angle and doubling the cube problems (with ruler and compass) and asks for the next correct proof. See: http://forum.swarthmore.edu/epigone/historia_matematica/shermshoxphim http://www-groups.dcs.st-and.ac.uk./~history//Mathematicians/Wantzel.html The archivers give these references for W.: 1. F Cajori, Pierre Laurent Wantzel, Bull. Amer. Math. Soc. 24 (1)(1917), 339-347. 2. A de Lapparent, Ecole Polytechnique: Livre du Centenaire, 1794-1894 1 (1895), 133-135. 3. G Pinet, Ecrivains et Penseurs Polytechniciens (Paris, 1902), 20. 4. Saint-Venant, Biographie: Wantzel, Nouvelles Annales de Mathematiques (Terquem et Gerono) 7 (1848), 321-331. Question: Which was the Sturm's improvement of the W's proof? Antreas The Math Forum
Vinkelns Tredelning Och Andra Geometriska Konstruktionsproblem misstänka att problemen kanske inte kan lösas med de klassiska hjälpmedlen, mendet dröjde ända till 1837 innan fransmannen pierre wantzel bevisade att http://www.matematik.su.se/matematik/exempel/geometri/Arkimedes.html
Extractions: och cirkelns kvadratur. lika delar, konstruerar en kvadrat deliska problemet Arkimedes tredelning av en vinkel. En vinkel v (dvs AOB O . En linje genom B C och OA D CD DCO likbent (eftersom CD och CO x y DOC och DOB ger y=2x och v=x+y=3x C och D C och D B D OA (och C mellan B och D C Pierre Wantzel Ferdinand von Lindemann inte Euklides AB A och B och samma radie AB . Om C ABC AB Carl Friedrich Gauss fann 1796 en konstruktion av den regelbundna n k p ...p r, p i m m samt Arkimedes och
Wiskunde Verder zijn er stukken gewijd aan Leonhard Euler (17071783), en aan de nagenoegonbekende pierre-Laurent wantzel (1814-1848) die als eerste bewees dat een http://www.vssd.nl/hlf/wiskunde.html
Extractions: Onderwijsuitgaven van Delft University Press bestelformulier / order form download Acrobat Reader Analyse Numerieke wiskunde Statistiek en kansrekening Lineaire algebra Diversen wiskunde Regelmaat in de ruimte wiskunde dr. J.H.J. Almering e.a., geheel herzien door dr.H. Bavinck en dr.ir. R.W. Goldbach 1996 / 592 p. / ISBN 90-407-1260-3 / geb. / Euro 29,95 Aan het eind van de meeste paragrafen is een aantal oefeningen opgenomen om de lezer vertrouwd te maken met de voorafgaande leerstof. Aan het eind van elk hoofdstuk is een paragraaf met vraagstukken toegevoegd, gerangschikt overeenkomstig de behandeling van de leerstof in het betreffende hoofdstuk. Inhoud n naar IR m PDF-bestand van de inhoudsopgave (32 Kb) wiskunde dr. H. Bavinck
Akolad News| Romain Over 2000 years later, in 1837, a French mathematician named pierre wantzel proclaimedthat it was impossible to trisect an angle using just a compass and a http://www.akolad.com/news/romain.htm
Extractions: Around 450 B.C., the Greek mathematician, Hippias of Ellis, began searching for a way to trisect an angle. Over 2000 years later, in 1837, a French mathematician named Pierre Wantzel proclaimed that it was impossible to trisect an angle using just a compass and a straightedge, the only tools allowed in geometric construction. But now, at the dawn of the twenty-first century, a Haitian computer program designer, Leon Romain, claims he has proven, with a "missing theorem," that it is possible to trisect an angle with those simple tools, disproving Wantzel's assertion and exploding centuries of mathematical gospel. "This discovery shows us that the notions that every mathematician has held for the past 200 years as absolute certainty are actually false," Romain told Haiti Progres. "The mathematical and even philosophical ramifications are huge."
Links: Henry Darcy And His Law pierre Laurent wantzel (18141848). Engineering History Sites Linksto other interesting sites. Send me your site if you have history http://biosystems.okstate.edu/darcy/Links.htm
