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         Wantzel Pierre:     more detail

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 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 threw himself into mathematics, philosophy, history, music, and into controversy, exhibiting everywhere equal superiority of mind. Saint-Venant in [4] says that Wantzel:- ... said merrily to his friends that he would be but a mediocre engineer. He preferred the teaching of mathematics... Wantzel is famed for his work on solving equations by radicals . In 1837 Wantzel published proofs of what are some of the most famous mathematical problems of all time in a paper in Liouville 's Journal on ... the means of ascertaining whether a geometric problem can be solved with ruler and compasses Gauss had stated that the problems of duplicating a cube and trisecting an angle could not be solved with ruler and compasses but he gave no proofs. In this 1837 paper Wantzel was the first to prove these results. Improved proofs were later given by Charles

2. Pierre Wantzel
Pierre Wantzel. post a message on this topic. post a message on a new topic. 12 Mar 1997 Pierre Wantzel, by Samuel S. Kutler. 13 Mar 1997. Re Pierre Wantzel, by Julio Gonzalez Cabillon. 13 Mar 1997 .
http://mathforum.com/epigone/math-history-list/yolhermtwy
a topic from math-history-list
Pierre Wantzel
post a message on this topic
post a message on a new topic

12 Mar 1997 Pierre Wantzel , by Samuel S. Kutler
13 Mar 1997 Re: Pierre Wantzel , by Julio Gonzalez Cabillon
13 Mar 1997 Re: Pierre Wantzel , by Calvin Jongsma
19 Mar 1997 Re: Pierre Wantzel , by Julio Gonzalez Cabillon
20 Mar 1997 Re: Pierre Wantzel , by Julio Gonzalez Cabillon
The Math Forum

3. Untitled
Roland US (Hung.born) architect _1898-1970 wantzel, pierre Fr. math.; proved impossibility of trisecting angle using
http://world.std.com/obi/Biographical/biog_dict.w

4. History Of Mathematics: Chronology Of Mathematicians
Adriaan Vlacq (Vlaccus) (16001667) *W *W. pierre de Carcavi (c pierre-Alphonse Laurent (1813-1854) *MT. pierre Laurent wantzel (1814-1848
http://aleph0.clarku.edu/~djoyce/mathhist/chronology.html
Chronological List of Mathematicians
Note: there are also a chronological lists of mathematical works and mathematics for China , and chronological lists of mathematicians for the Arabic sphere Europe Greece India , and Japan
Table of Contents
1700 B.C.E. 100 B.C.E. 1 C.E. To return to this table of contents from below, just click on the years that appear in the headers. Footnotes (*MT, *MT, *RB, *W, *SB) are explained below
List of Mathematicians
    1700 B.C.E.
  • Ahmes (c. 1650 B.C.E.) *MT
    700 B.C.E.
  • Baudhayana (c. 700)
    600 B.C.E.
  • Thales of Miletus (c. 630-c 550) *MT
  • Apastamba (c. 600)
  • Anaximander of Miletus (c. 610-c. 547) *SB
  • Pythagoras of Samos (c. 570-c. 490) *SB *MT
  • Anaximenes of Miletus (fl. 546) *SB
  • Cleostratus of Tenedos (c. 520)
    500 B.C.E.
  • Katyayana (c. 500)
  • Nabu-rimanni (c. 490)
  • Kidinu (c. 480)
  • Anaxagoras of Clazomenae (c. 500-c. 428) *SB *MT
  • Zeno of Elea (c. 490-c. 430) *MT
  • Antiphon of Rhamnos (the Sophist) (c. 480-411) *SB *MT
  • Oenopides of Chios (c. 450?) *SB
  • Leucippus (c. 450) *SB *MT
  • Hippocrates of Chios (fl. c. 440) *SB
  • Meton (c. 430) *SB

5. Wantzel
Biography of pierre wantzel (18141848) pierre wantzel's father served in the army for seven years after the birth of pierre, then became École speciale du Commerce. pierre wantzel attended
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 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 threw himself into mathematics, philosophy, history, music, and into controversy, exhibiting everywhere equal superiority of mind. Saint-Venant in [4] says that Wantzel:- ... said merrily to his friends that he would be but a mediocre engineer. He preferred the teaching of mathematics... Wantzel is famed for his work on solving equations by radicals . In 1837 Wantzel published proofs of what are some of the most famous mathematical problems of all time in a paper in Liouville 's Journal on ... the means of ascertaining whether a geometric problem can be solved with ruler and compasses Gauss had stated that the problems of duplicating a cube and trisecting an angle could not be solved with ruler and compasses but he gave no proofs. In this 1837 paper Wantzel was the first to prove these results. Improved proofs were later given by Charles

6. 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,
  • 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/References/Wantzel.html
  • 7. Pierre-Laurent Wantzel (II) By Julio Gonzalez Cabillon
    pierreLaurent wantzel (II) by Julio Gonzalez Cabillon. reply to this message. post a message on a new topic. Back to math-history-list Subject pierre-Laurent wantzel (II) Author Julio Gonzalez
    http://mathforum.com/epigone/math-history-list/mixsporwun
    Pierre-Laurent Wantzel (II) by Julio Gonzalez Cabillon
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    Back to math-history-list
    Subject: Pierre-Laurent Wantzel (II) Author: jgc@adinet.com.uy Date: The Math Forum

    8. 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
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    9. Pierre-Laurent Wantzel (II) By Julio Gonzalez Cabillon
    pierreLaurent wantzel (II) by Julio Gonzalez Cabillon. Born June 5, 1814,pierre-Laurent wantzel was taught by a mere elementary school teacher.
    http://mathforum.org/epigone/math-history-list/mixsporwun
    Pierre-Laurent Wantzel (II) by Julio Gonzalez Cabillon
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    Back to math-history-list
    Subject: Pierre-Laurent Wantzel (II) Author: jgc@adinet.com.uy Date: The Math Forum

    10. The CTK Exchange Forums
    The place to post math questions and answers http//www.cutthe-knot.org/arithmetic/ antiquity.shtml " pierre Laurant wantzel" should be " pierre Laurent wantzel"
    http://www.cut-the-knot.org/htdocs/dcforum/DCForumID5/287.shtml
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    CTK Exchange Subject: "more typos" Previous Topic Next Topic Printer-friendly copy Email this topic to a friend Conferences The CTK Exchange Guest book Topic #287 Reading Topic #287 Vladimir
    Member since Jun-22-03
    Sep-28-03, 08:39 AM (EST) "more typos"
    http://www.cut-the-knot.org/Curriculum/Geometry/Quadri.shtml
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    Subject Author Message Date ID more typos Vladimir Sep-28-03 TOP RE: more typos Vladimir Oct-03-03 RE: more typos Vladimir Dec-06-03 RE: more typos Vladimir Oct-12-03 RE: more typos Vladimir Oct-13-03 RE: more typos Vladimir Oct-15-03 RE: more typos Vladimir Oct-17-03 RE: more typos Vladimir Nov-19-03 RE: more typos Vladimir Dec-04-03 RE: more typos alexb Dec-04-03
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    Forums Topics Previous Topic ... Next Topic Vladimir Member since Jun-22-03 Oct-03-03, 08:25 PM (EST) 1. "RE: more typos" In response to message #0 Icon for the topic "A conjecture of Christopher Bradley" at College Math is wrong: - hot_new_locked_icon_question.gif does not exist, should be

    11. Pierre-Laurent Wantzel (I) By Julio Gonzalez Cabillon
    pierreLaurent wantzel (I) by Julio Gonzalez Cabillon. reply to thismessage post a message on a new topic Back to math-history-list
    http://mathforum.org/epigone/math-history-list/touglonquul
    Pierre-Laurent Wantzel (I) by Julio Gonzalez Cabillon
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    post a message on a new topic

    Back to math-history-list
    Subject: Pierre-Laurent Wantzel (I) Author: jgc@adinet.com.uy Date: The Math Forum

    12. Pierre Laurent Wantzel

    http://www.sciences-en-ligne.com/momo/chronomath/chrono1/Wantzel.html
    , de Descartes et de Gauss Théorème de Wantzel Abel Un nombre constructible est donc est constructible ! Conséquence 1 : la duplication du cube est impossible Selon le théorème de wantzel, n'est pas constructible et par suite et la duplication du cube est impossible Q et non constructible. Conséquence 2 : la quadrature du cercle est impossible : quadrature p est transcendant Lindemann p . Il faut donc construire p Quadrature approchée du cercle selon Dinostrate Conséquence 3 : la trisection de l'angle est impossible : 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

    13. Akolad News| Romain
    1837, a French mathematician named pierre wantzel proclaimed that it was impossible with those simple tools, disproving wantzel's assertion and exploding centuries of mathematical
    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."

    14. Mathem_abbrev
    Wafa alBuzjani Abu l Wallis, John Wang, Hsien Chung wantzel, pierre Weierstrass,Karl Weil, André, Weinstein, Alexander Wheeler, Anna J Pell Whittaker, Edmund
    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.

    15. 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/
    @import url(../../newinclude/plus_copy.css); @import url(../../newinclude/print.css); @import url(../../newinclude/plus.css); search plus with google
    Permission is granted to print and copy this page on paper for non-commercial use. For other uses, including electronic redistribution, please contact us. Issue 7 January 1999 Contents Features Unspinning the boomerang Bang up a boomerang! Galloping gyroscopes Time and motion ... The origins of proof Career interview Career interview: Games developer Regulars Plus puzzle Pluschat Mystery mix Letters Staffroom Introducing the MMP Geometer's corner International Mathematics Enrichment Conference News from January 1999 ...
    poster! January 1999 Regulars
    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.

    16. 8th Grade
    Rheticus (15141574) *SB *MT *W ·. pierre de la Ramée (Ramus) (1515-1572) *SB *W pierre-Alphonse Laurent (1813-1854) *MT ·. pierre Laurent wantzel (1814-1848)
    http://mslombardo.freehosting.net/catalog.html
    Free Web site hosting - Freeservers.com Web Hosting - GlobalServers.com Choose an ISP NetZero High Speed Internet ... Dial up $14.95 or NetZero Internet Service $9.95
    8th Grade Info Home Page 5th Grade 6th Grade 7th Grade ... Guest Book Page
    Your project
    You need to hand me a 2 page paper on the mathematician of your choice by May 31st. You must have 3 sources. I have compiled a list of "MaThMaGiCiAnS" you can choose from.
    Mathmaticians
    List of Mathematicians
    1700 B.C.E. - Ahmes (c. 1650 B.C.E.) *MT
    700 B.C.E. - Baudhayana (c. 700)
    600 B.C.E.
    · Thales of Miletus (c. 630-c 550) *MT
    · Apastamba (c. 600) · Anaximander of Miletus (c. 610-c. 547) *SB · Pythagoras of Samos (c. 570-c. 490) *SB *MT · Anaximenes of Miletus (fl. 546) *SB · Cleostratus of Tenedos (c. 520) 500 B.C.E. · Katyayana (c. 500) · Nabu-rimanni (c. 490) · Kidinu (c. 480) · Anaxagoras of Clazomenae (c. 500-c. 428) *SB *MT · Zeno of Elea (c. 490-c. 430) *MT · Antiphon of Rhamnos (the Sophist) (c. 480-411) *SB *MT · Oenopides of Chios (c. 450?) *SB · Leucippus (c. 450) *SB *MT

    17. India Talking Hindustan Network Discussion Forums
    In 1837 the French mathematician pierre wantzel proved the impossibility oftrisecting the angle with straightedge(unmarked) and compass alone .
    http://hindustan.net/discus/messages/55/12112.html?1083743060

    18. Mathematics Pronunciation Guide
    Pronunciation guide for mathematical names and terms English bawt ih 'chel ee. pierre Bouguer 16981758 pee air boo gair T. Wang. pierre Laurent wantzel 1814-48
    http://www.waukesha.uwc.edu/mat/kkromare/main.html
    This guide contains most mathematical names and terms encountered in high school and the first two years of college. If you are not using frames go to my homepage at waukesha.uwc.edu/mat/kkromare and click on the "no frames" option for the Guide. This guide contains most mathematical names and terms encountered in high school and the first two years of college. If you are not using frames go to my homepage at waukesha.uwc.edu/mat/kkromare and click on the "no frames" option for the Guide.

    19. Carte ATI Rage 128 Pro GL 16 Mo.
    2001 135322 +0000; Sender plw@free.fr. pierre-Laurent wantzel.
    http://lists.debian.org/debian-user-french/2001/09/msg00172.html
    Date Prev Date Next Thread Prev Thread Next ... Thread Index
    Carte ATI Rage 128 Pro GL 16 Mo.
    Bonjour, Quelle dénomination, lorsqu'on éxécute XF86Setup, version 3.3.6, correspond effectivement à cette carte, apparamment ce n'est pas ATI Rage 128 (Generic). Merci d'avance des renseignements. Pierre-Laurent Wantzel.

    20. Bizarrerie Avec Squid.
    Date Fri, 14 Dec 2001 142833 +0000; pierre-Laurent wantzel.
    http://lists.debian.org/debian-user-french/2001/debian-user-french-200112/msg008
    Date Prev Date Next Thread Prev Thread Next ... Thread Index
    Bizarrerie avec squid.

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