1. 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

Pierre Laurent Wantzel Born: 5 June 1814 in Paris, France Died: 21 May 1848 in Paris, France Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index 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.

2. 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

WANTZEL Pierre-Laurent , 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 : trisecter 90° : on obtient 30°; bissecter 30° : on obtient 15°. 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

3. 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

References for Pierre Wantzel Articles: F Cajori, Pierre Laurent Wantzel, Bull. Amer. Math. Soc. A de Lapparent, Ecole Polytechnique: Livre du Centenaire, 1794-1894 G Pinet, Ecrivains et Penseurs Polytechniciens (Paris, 1902), 20. Saint-Venant, Biographie: Wantzel, Main index Birthplace Maps Biographies Index History Topics ... Anniversaries for the year JOC/EFR April 1997 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/Wantzel.html

4. 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

Visit a 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 W 457 biographies Waals, Johannes Diderik van der www.nobel.se/physics/laureates/1910/waals-bio.html Waardenburg, Petrus Johannes www.whonamedit.com/doctor.cfm/1012.html Waerden, Bartel van der www-history.mcs.st-and.ac.uk/~history/Mathematicians/Van_der_Waerden.html Wagner, Richard www.island-of-freedom.com/WAGNER.HTM library.thinkquest.org/20117/doebler.html Wagner-Joregg, Julius www.nobel.se/medicine/laureates/1927/wagner-jauregg-bio.html Wahlöö, Per www.kirjasto.sci.fi/wahloo.htm Wakata, Koichi www.jsc.nasa.gov/Bios/htmlbios/wakata.html Wake, Nancy www.abc.net.au/btn/australians/wake.htm Wakefield, Ruth web.mit.edu/invent/www/inventorsR-Z/wakefield.html Waksman, Selman Abraham www.nobel.se/medicine/laureates/1952/waksman-bio.html Walcott, Derek

5. Mathem_abbrev Wang, Hsien Chung. wantzel, pierre. Weierstrass, Karl. Weil, André http://www.pbcc.cc.fl.us/faculty/domnitcj/mgf1107/mathrep1.htm

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. Some suggestions on the historical perspective might be: (a) Any wars etc. (b) Scientific breakthroughs of the time (c) Major discoveries of the time (d) How did this mathematician change history etc.

6. 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

Completo Indice Alfabetico Cliccare su una lettera sottostante per andare a quel file. A B C D ... XYZ Cliccare sotto per andare agli indici alfabetici separati A B C D ... XYZ Il numero di parole nella biografia e' dato in parentesi. Un * indica che c'e' un ritratto. A Abbe , Ernst (602*) Abel , Niels Henrik (286*) Abraham bar Hiyya (240) Abraham, Max Abu Kamil Shuja (59) Abu'l-Wafa al'Buzjani (243) Ackermann , Wilhelm (196) Adams, John Couch Adams, Frank Adelard of Bath (89) Adler , August (114) Adrain , Robert (79) Aepinus , Franz (124) Agnesi , Maria (196*) Ahlfors , Lars (725*) Ahmed ibn Yusuf (60) Ahmes Aida Yasuaki (114) Aiken , Howard (94) Airy , George (313*) Aitken , Alexander (825*) Ajima , Chokuyen (144) Akhiezer , Naum Il'ich (248*) al'Battani , Abu Allah (194) al'Biruni , Abu Arrayhan (306*) al'Haitam , Abu Ali (269*) al'Kashi , Ghiyath (73) al'Khwarizmi , Abu (123*) Albanese , Giacomo (282) Albert of Saxony Albert, Abraham Adrian (121*) (158*) Alberti , Leone (181*) Alberto Magno, San (109*) Alcuin di York (237*) Aleksandrov , Pave (160*) Alembert , Jean d' (291*) Alexander , James (163) Amringe , Howard van (354*) Amsler , Jacob (82) Anassagora di Clazomenae (169) Anderson , Oskar (67) Andreev , Konstantin (117) Angeli , Stefano degli (234) Anstice , Robert (209) Antemio of Tralles (55) Antifone il Sofista (125) Apollonio di Perga (276) Appell , Paul (1377) Arago , Dominique (345*) Arbogasto , Louis (87) Arbuthnot , John (251*) Archimede di Siracusa (467*) Archita of Tarentum (103) Argand , Jean (81) Aristeo il Vecchio (44) Aristarco di Samo (183) Aristotele Arnauld , Antoine (179)

7. 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

Pierre Laurent Wantzel Born: 5 June 1814 in Paris, France Died: 21 May 1848 in Paris, France Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index 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.

8. 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

CANTOR Georg Ferdinand russe, 1845-1918 Weierstrass Kummer et Kronecker et de Cohen 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 Outre e et p , on y "compte" les logarithmes, les exponentielles de la forme a x et bien d'autres encore : Liouville Hermite Lindemann Baker La de Cantor (1874) dont l'initiateur fut Dedekind et, dans une certaine mesure

9. 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

Diese Seite ist dem Andenken meines Vaters Otto Hebisch (1917 - 1998) gewidmet. By our fathers and their fathers in some old and distant town from places no one here remembers come the things we've handed down. 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) Abel, Niels Henrik (5.8.1802 - 6.4.1829) Abraham bar Hiyya (1070 - 1130) Abraham, Max (1875 - 1922) Abu Kamil, Shuja (um 850 - um 930) Abu'l-Wafa al'Buzjani (940 - 998) Ackermann, Wilhelm (1896 - 1962) Adams, John Couch (5.6.1819 - 21.1.1892) Adams, John Frank (5.11.1930 - 7.1.1989) Adelard von Bath (1075 - 1160) Adler, August (1863 - 1923) Adrain, Robert (1775 - 1843)

10. Pronunciation Guide To Mathematicians Top. W- wantzel, pierre Laurent ? ; Waring,Edward ? (); Weierstrass, Karl Theodor http://puzzle.jmath.net/math/mathcian/

Pronunciation Guide to Mathematicians:¼öÇÐÀÚÀÇ À̸§ Àбâ Home Math Puzzles Links Contents A B C D ... Abel , Niels Henrik ´Ò½º Ç ¾Æº§ Ackermann , Wilhelm ºôÇ︧ ¾ÆÄ¿¸¸ Agnesi , Maria Gaetana ¸¶¸®¾Æ °¡¿¡Å¸³ª ¾Æ³éÁö Ahlfors , Lars Valerian ¶ó¸£½º ¹ß·¹¸®¾È ¾ËÆ÷¸£½º Ampere , Andre Marie ¾Óµå·¹ ¸¶¸® ¾ÓÆ丣 Argand , Jean Robert Àå ·Îº£¸£ ¾Æ¸£°­ Top B Babbage , Charls Âû½º ¹è¹èÁö Bachet de Meziriac, Claude Gaspard Ŭ·Îµå °¡½ºÆĸ£ ¹Ù¼Î µå ¸ÞÁö¸®¾Ç Baire , Rene Louis ¸£³× ·çÀÌ º£¸£ Banach , Stefan ½ºÅ×ÆÇ ¹Ù³ªÈå Barbier , Joseph Emile Á¶Á¦ÇÁ ¿¡¹Ð ¹Ù¸£ºñ¿¡ Barrow , Issac ¾ÆÀÌÀÛ ¹è·Î Bayes , Thomas Å丶½º º£ÀÌÁî Beltrami , Eugenio ¿¡¿ìÁ¦´Ï¿À º§Æ®¶ó¹Ì Bernoulli , Daniel ´Ù´Ï¿¤ º£¸£´­¸®(º£¸£´©ÀÌ) Bernstein , Felix Æ縯½º º£¸¥½´Å¸ÀÎ Bertrand , Joseph Louis Francois Á¶Á¦ÇÁ ·çÀÌ ÇÁ¶û¼ö¾Æ º£¸£Æ®¶û Besicovitch , Abram Samoilovitch ¾Æºê¶÷ »ç¸ðÀϷκñÄ¡ º£½ÄÚºñÄ¡ Betti , Enrico ¿£¸®ÄÚ º£Æ¼ Bezout , Etienne ¿¡Æ¼¿£ º£ÁÖ Bianchi , Luigi ·çÀÌÁö ºñ¾ÈÅ° Bieberbach , Ludwig Georg Elias ·çÆ®ºñÈ÷ °Ô¿À¸£Å© ¿¤¸®¾Æ½º ºñ¹ö¹ÙÈå Binet , Jacques Philippe Marie ÀÚÅ© Çʸ³ ¸¶¸® ºñ³× Birkhoff , George David Á¶Áö µ¥À̺ñµå ¹öÄÚÇÁ Blichfeldt , Hans Frederick Çѽº ÇÁ·¹µ¥¸¯ ºí¸®È÷ÆçÆ®(ºí¸¯ÆçÆ®) Bolyai , Farkas Wolfgan/Janos Æĸ£Ä«½ º¼ÇÁ°­/¾ß³ë½ º¸¿©ÀÌ (º¼¸®¾ÆÀÌ) Bolzano , Bernhard Placidus Johann Nepomuk º£¸¥Çϸ£Æ® ǶóÄ¡µÎ½º ¿äÇÑ ³×Æ÷¹«Å© º¼Â÷³ë Bonnet , Pierre Ossian ÇÇ¿¡¸£ ¿À½¾Ó º¸³× Boole , George Á¶Áö ºÒ Borel , Felix Edouard Justin Emile Æ縯½º ¿¡µÎ¾Æ¸£ Á㽺ÅÊ ¿¡¹Ð º¸·¼ Borsuk , Karol Ä«·Ñ º¸¸£¼÷ Bourbaki, Nicolas ´ÏÄݶó ºÎ¸£¹ÙÅ°

11. 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

Wantzel and Sturm by Antreas P. Hatzipolakis reply to this message post a message on a new topic Back to math-history-list 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

12. 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/

PRIME NRICH PLUS Current Issue ... Subject index 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 Mathematical Mysteries: Trisecting the Angle 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? Bisecting an angle 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. Put the point of the compass at O and draw a circle (of any radius you like). This is the blue arc in the diagram. The circle will cross the two lines at two points: call these A and B. Now put the point of the compass at A and draw an arc of a circle, as shown in the diagram.

13. 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/

FAQchest Search HOME linux GUILDE ... RAILROAD Search The FAQchest The FAQchest The WWW About The FAQchest. The GUILDE Mailing List Archive There are currently documents in the archive. 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 ?

14. 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/

FAQchest Search HOME linux GUILDE ... RAILROAD Search The FAQchest The FAQchest The WWW About The FAQchest. The GUILDE Mailing List Archive There are currently documents in the archive. 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 ..

15. 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

Morse High School Magnet Program Mathematics Lesson Resources in support of the Language Career Path Magnet Math Math Lessons Internet Enrichment The links provided here could be used to develop mathematics lessons in support of the topics of international business, journalism, sales/import/export, hotel management and advertising. There is a lesson template available for your use. Idea 1 Write a lesson that requires the comparison or conversion of world currencies. Euro Converter PACIFIC Exchange Rate Service The Universal Currency Converter Idea 2 Extend the idea presented in Only if Nice Weather Could Last Year Round to the world. Amtrak Schedules Excite Travel Subway navigator (Global) Reference Desk ... Yahoo Travel Idea 3 Write a lesson on the mathematics of Pierre Bouguer and/or Pierre Varignon. Pursuit Curve - Pierre Bouguer Hyperbolic Spiral - Pierre Varignon Idea 4 Write a high school level magic squares activity. Albrecht Durer Magic Squares Idea 5 Use the idea of local time as the focus of a lesson involving travel. Local Times Around the World Excite Travel Maps and Travel Information The Reference Desk Idea 6 Extend the idea presented in Sampling: An Exercise in Statistics to a mixture of mathematics and journalism.

16. 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

Wantzel and Sturm by Antreas P. Hatzipolakis reply to this message post a message on a new topic Back to math-history-list 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

17. 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

Vinkelns tredelning och andra geometriska konstruktionsproblem 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

18. 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

Onderwijsuitgaven van Delft University Press bestelformulier / order form Wiskunde: analyse, lineaire algebra en statistiek download Acrobat Reader Analyse Numerieke wiskunde Statistiek en kansrekening Analyse (Almering) Analyse (Tentamenopgaven) Analyse (Grootendorst en Meulenbeld) Analyse van Differentiaalvergelijken ... Elementaire statistiek (aanvulling) Lineaire algebra Diversen wiskunde Dictaat lineaire algebra Matrixrekening Caleidoscoop van de wiskunde Grafentheorie voor bouwkundigen ... Mathematical Systems Theory Nieuw Taal en Tal Regelmaat in de ruimte wiskunde Analyse 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 Analyse 250 tentamenopgaven met uitwerkingen dr. H. Bavinck

19. 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

Haitian Math Whiz May Have Unraveled Age-old Geometry Mystery HAITI PROGRES ( http://www.haiti-progres.com), October 9 - 15, 2002 Vol. 20, No. 30 by Kim Ives PHOTO: : Leon Romain has devised a theorem for trisecting any angle, one of geometry's great puzzles. If he is right, it could change your life. So far, nobody has proved him wrong 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."

20. 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

Henry Darcy and His Law Links Henry Darcy Main Darcy Not much is on the web about Darcy. Here are a few sites of note. The European Geophysical Society's biography on Darcy. http://www.mpae.gwdg.de/EGS/egs_info/darcy.htm Darcy Biography from the Best in Dijon (in French). (This page makes a couple curious statements.) http://perso.club-internet.fr/dijon21/darc.htm Main page: http://www.enpc.fr/ History page: http://www.enpc.fr/Comm/PAGES/HISTORIQUE.htm#perronet Or, L'Ecole Polytechnique Main page: http://www.polytechnique.fr/ History page: http://www.polytechnique.fr/infoEcole/historique/brevehistoire.html http://www.academie-sciences.fr/ Visit Ville Dijon: A tourist site http://www.visit.ie/countries/fr/dijon/ or a commercial site http://www.ifrance.com/dijon/index.htm or the official city page http://www.ville-dijon.fr/ Darcy's Law Okke Batelaan's list of most influential ground-water papers and books. http://pop.vub.ac.be/~batelaan/bestpaper.html Pierre Ossian Bonnet Augustin Louis Cauchy Benoit Paul Emile Clapeyron ... Jules Regnault (1797-1863) (in French) Jean Claude Barre de Saint-Venant Pierre Laurent Wantzel Engineering History Sites Links to other interesting sites.

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