1. Pasch Moritz Pasch. Born 8 Moritz Pasch studied in Berlin and then taughtin Giessen. He worked on the foundations of geometry. He found http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Pasch.html

Moritz Pasch Born: 8 Nov 1843 in Breslau, Germany (now Wroclaw, Poland) Died: 20 Sept 1930 in Bad Homburg, Germany Click the picture above to see a larger version Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Moritz Pasch studied in Berlin and then taught in Giessen. He worked on the foundations of geometry. He found a number of assumptions in Euclid that nobody had noticed before. Pasch's Axiom is that if a line enters a triangle ABC through the side AB and does not pass through C then it must leave the triangle either between B and C or between C and A . Pasch argued in 1882 that geometers rely too heavily on physical intuition. In his view an argument in mathematics should not depend on the physical interpretation of the terms involved but upon purely formal axioms. Pash claimed that the principle of duality contradicted physical intuition about points and lines, nobody believed that these terms were interchangeable. Hilbert was to be influenced by these ideas of Pasch. Article by: J J O'Connor and E F Robertson List of References (6 books/articles) A Poster of Moritz Pasch Mathematicians born in the same country Other Web sites Mathematical Genealogy Project Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index History Topics Societies, honours, etc.

2. Poster Of Pasch Moritz Pasch. lived from 1843 to 1930. Pasch worked on the foundations of geometry.He found a number of assumptions in Euclid that nobody had noticed before. http://www-gap.dcs.st-and.ac.uk/~history/Posters2/Pasch.html

Moritz Pasch lived from 1843 to 1930 Pasch worked on the foundations of geometry. He found a number of assumptions in Euclid that nobody had noticed before. Find out more at http://www-history.mcs.st-andrews.ac.uk/history/ Mathematicians/Pasch.html

3. Moritz Pasch Moritz Pasch I need all possible information on Moritz Pasch. Srefanek http://rdre1.inktomi.com/click?u=http://mathforum.org/library/drmath/view/52529.

4. Moritz Pasch Translate this page Moritz pasch moritz Pasch (* 8._November 1843 in Breslau, † 20._September1930 in Bad_Homburg_v._d._Höhe) war Mathematiker. Nach http://www.themensuche.de/Moritz_Pasch.html

what = 'Moritz Pasch'; Moritz Pasch in Breslau in Bad_Homburg_v._d._Höhe ) war Mathematiker . Nach Studium in Berlin wurde er Professor in Gießen . Er forderte eine streng logische Vorgehensweise in der Geometrie , entdeckte einige bis dahin nicht wahrgenommene Annahmen in der Euklidischen Geometrie, namentlich das , und gab damit Anstoß zu Hilberts axiomatischer Ausarbeitung der Geometrie. HOME INDEX MAIL SUCHE BEI GOOGLE ... SUCHE BEI MSN History: Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation. A copy of the license is included in the section entitled "GNU Free Documentation License"

5. DIEPER - DIgitised European PERiodicals Translate this page Nimführ R., Die Luftfahrt .. pasch moritz, Veränderlicheund Funktion . . Perry John, Drehkreisel .. http://dieper.aib.uni-linz.ac.at/cgi-bin/project2/showalltext.pl?PE_ID=2&VO_ID=2

6. Mathematiciens Translate this page Il avait des dons exceptionnels de mathématicien, dont il a donnéla preuve dans beaucoup de problèmes. pasch moritz (1843-1930). http://www.multimania.com/serge/matheux.html

LES MATHEMATICIENS A B C D ... H I J K L M ... P Q R S T U V W X Y Z (Liste incomplète) ABEL Niels Hnrik ( 1802-1829 ) Al-Birûni (Abû Rayhân Muhammad ben Ahmad) Né à Khiwa dans l'actuel Turkménistan, al-Biruni est un savant universel. A vingt ans il se rend à la cour des Ziyârides, où il écrit sa Chronologie. Il y rencontre le célèbre philosophe Ibn Sînâ, dont le nom déformé donnera Avicenne en Occident, avec lequel il ne s'entend guère. De retour dans sa ville natale, il est capturé lors de troubles politiques. Une fois libéré il fait de nombreux séjours en Inde dont on ne sait presque rien. C'est certainement lors d'un de ces séjour qu'il ramène un énorme traité : Ta rîh al-Hind. Il y donne une description très détaillée de ce pays, de ses coutumes ainsi que de ses connaissances scientifiques. Il écrit aussi une encyclopédie sur l'astronomie. En géométrie il démontre d'une manière élégante la formule relative à l'aire du triangle et à son périmètre. C'est lui qui établit le lien entre l'inscriptibilité d'un polygone régulier à 9 côtés et l'équation du troisième degré dont il donne une solution approchée en fraction sexadécimales.

7. Biography-center - Letter P pasch, moritz wwwhistory.mcs.st-and.ac.uk/~history/Mathematicians/pasch.html;paschal II, www.knight.org/advent/cathen/11514b.htm; http://www.biography-center.com/p.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 P 538 biographies www-history.mcs.st-and.ac.uk/~history/Mathematicians/Peres.html www-history.mcs.st-and.ac.uk/~history/Mathematicians/Peter.html www-history.mcs.st-and.ac.uk/~history/Mathematicians/Polya.html Paar, Jack www.pbs.org/wnet/americanmasters/database/paar_j.html Paavolainen, Olavi www.kirjasto.sci.fi/opaavola.htm pablo, picasso www.time.com/time/time100/artists/profile/picasso.html Pacchia, Girolamo del www.getty.edu/art/collections/bio/a844-1.html Pacchioni, Antonio www.whonamedit.com/doctor.cfm/391.html Pace, Carlos www.grandprix.com/gpe/drv-paccar.html Pacher, Michael www.kfki.hu/~arthp/bio/p/pacher/biograph.html Pacioli, Luca www-history.mcs.st-and.ac.uk/~history/Mathematicians/Pacioli.html Packer, Kerry

8. Vorlesungen über Neuere Geometrie, Von Dr. Moritz Pasch. Vorlesungen über neuere Geometrie, von Dr. moritz pasch. pasch, moritz, 18431930. moritz, 1843-1930. pasch http://rdre1.inktomi.com/click?u=http://name.umdl.umich.edu/ABV7607.0001.001&

9. Pasch Biography of moritz pasch (18431930) moritz pasch. Born 8 Nov 1843 in Breslau, Germany (now Wroclaw, Poland) Main index. moritz pasch studied in Berlin and then taught in Giessen http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Pasch.html

Moritz Pasch Born: 8 Nov 1843 in Breslau, Germany (now Wroclaw, Poland) Died: 20 Sept 1930 in Bad Homburg, Germany Click the picture above to see a larger version Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Moritz Pasch studied in Berlin and then taught in Giessen. He worked on the foundations of geometry. He found a number of assumptions in Euclid that nobody had noticed before. Pasch's Axiom is that if a line enters a triangle ABC through the side AB and does not pass through C then it must leave the triangle either between B and C or between C and A . Pasch argued in 1882 that geometers rely too heavily on physical intuition. In his view an argument in mathematics should not depend on the physical interpretation of the terms involved but upon purely formal axioms. Pash claimed that the principle of duality contradicted physical intuition about points and lines, nobody believed that these terms were interchangeable. Hilbert was to be influenced by these ideas of Pasch. Article by: J J O'Connor and E F Robertson List of References (6 books/articles) A Poster of Moritz Pasch Mathematicians born in the same country Other Web sites Mathematical Genealogy Project Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index History Topics Societies, honours, etc.

10. Browse The Cornell Library Historical Math Monographs Translate this page bibliografici) (Volume 2). Die Variationsrechnung. pasch, moritz Veränderlicheund funktion. Peano, Giuseppe Applicazioni Geometriche Del http://historical.library.cornell.edu/math/math_P.html

Sorted by Title A B C ... O P R S TU V ... XYZ Authors "P" Page, James Morris Ordinary differential equations, with an introduction to Lie's theory of the group of one parameter Painlevé, Paul Leçons, sur la théorie analytique des équations différentielles, professées à Stockholm (septembre, octobre, novembre 1895) sur l'invitation de S. M. le roi de Suède et de Norwège Leçons sur l'intégration des équations différentielles de la mécanique et applications Parfentieff, Nikolai Nikolaev Études sur la théorie de la croissance des fonctions Pascal, Ernesto Die Determinanten. Eine Darstellung ihrer Theorie und Anwendungen mit Rücksicht auf die neueren Forschungen I gruppi continui di trasformazioni. (Parte generale della teoria) I miei integrafi per equazioni differenziali Repertorio di matematiche superiori (definizioniformoleteoremicenni bibliografici) (Volume 1) ... Die Variationsrechnung Pasch, Moritz Veränderliche und funktion Peano, Giuseppe Applicazioni Geometriche Del Calcolo In Peirce, Benjamin Address of professor Benjamin Peirce, President of the American Association for the year 1853, on retiring from the duties of President An elementary treatise on curves, functions, and forces (Volume 1) An elementary treatise on curves, functions, and forces (Volume 2) Peirce, Benjamin Osgood Elements of the theory of the Newtonian potential function Petersen, Julius

11. The Mathematics Genealogy Project - Moritz Pasch Select a mirror. NDSU (main) Bielefeld. Ole Miss. AMS. moritz pasch. Biography. Ph.D. Universität Breslau 1865. DissertationDe duarum sectionem conicarum in circulos projectione. Advisor Heinrich http://genealogy.math.ndsu.nodak.edu/html/id.phtml?id=19496

12. Biografia De Pasch, Moritz Translate this page pasch, moritz. (Wroclaw, 1843-Bad Homburg, 1930) Matemático alemán. Profesoren la Universidad de Giessen, contribuyó a la fundamentación http://www.biografiasyvidas.com/biografia/p/pasch.htm

Inicio Buscador Utilidades Recomendar sitio Enlaces Pasch, Moritz (Wroclaw, 1843-Bad Homburg, 1930) Matemático alemán. Profesor en la Universidad de Giessen, contribuyó a la fundamentación rigurosa de la geometría, mediante una concepción axiomática que expuso en su obra Lecciones sobre la moderna geometría Inicio Buscador Recomendar sitio

13. Math Forum - Ask Dr. Math I need all possible information on moritz pasch. Picture or photo of moritz pasch 2. Family background of moritz pasch 3. What are the works pasch made for Mathematics http://mathforum.com/dr.math/problems/srefanek9.20.97.html

Associated Topics Dr. Math Home Search Dr. Math Moritz Pasch Date: 09/20/97 at 03:56:00 From: Noel A. Srefanek Subject: Need biography of mathematician I'm hoping you can help me on a project for school. Can you give me information on the following? 1. Picture or photo of Moritz Pasch 2. Family background of Moritz Pasch 3. What are the works Pasch made for Mathematics? 4. What were his contributions to Mathematics? 5. What happened in his later days? 6. Biography of Moritz Pasch These questions my teacher gave me are very hard for me. I have already read most of the books in school but they are incomplete. Please help me on this very hard reference. Thank you. Best regards, Kristeen Joan Stefanek Date: 09/20/97 at 22:48:26 From: Doctor Jodi Subject: Re: Need biography of mathematician Hi Kristeen, Thanks for your question. I searched at the St. Andrew's math history site. Here's what I found (look under P: http://www-history.mcs.st-and.ac.uk/~history/BiogIndex.html There's a picture here, if you have Web access. Otherwise, see the paper references below. Pasch studied in Berlin and then taught in Giessen. He worked on the foundations of geometry. He found a number of assumptions in Euclid that nobody had noticed before. Pasch's Axiom is that if a line enters a triangle ABC through the side AB and does not pass through C then it must leave the triangle either between B and C or between C and A. Pasch argued in 1882 that geometers rely too heavily on physical intuition. In his view an argument in mathematics should not depend on the physical interpretation of the terms involved, but upon purely formal axioms. Pash claimed that the principle of duality contradicted physical intuition about points and lines; nobody believed that these terms were interchangeable. Hilbert was to be influenced by these ideas of Pash. Several references were also listed at

14. Índice Alfabético - P Translate this page William, tercer conde de Rosse Parvus, Izraíl Lazárevich Guelfand, llamado AlexanderHelphand o Pascal, Blaise Pascal, Paul pasch, moritz paschen, Friedrich http://www.biografiasyvidas.com/biografia/p/index0005.htm

Inicio Buscador Utilidades Recomendar sitio Enlaces P Parodi, Hippolyte Parra, Teresa de la Parra, Aquileo Parra, Nicanor ... Patel, Vallabhbhai Jhaverbhai Inicio Buscador Recomendar sitio

15. Carl And Elaine Pasch Family History Carl and Elaine pasch Family History. Version 1.2 09 August 1997. History of the pasch Family. While the pasch name is not a household name, it has included individuals that have made many contributions. of the match head 2. moritz pasch (8 Nov 1843 - 20 Sept 1930) Mathmatician Dictionary of Scientific Biography. moritz pasch, Jahresberichte der Deutschen Mathematiker vereinigung http://members.aol.com/MPasch/paschhis.htm

Carl and Elaine Pasch Family History Version 1.2 - 09 August 1997 History of the Pasch Family While the Pasch name is not a household name, it has included individuals that have made many contributions. Throughout history, the Pasch family has significantly contributed to art in Sweden, influenced mathematics, and invented the safety match. The current generation of Pasch's includes Anne-lise, a cyberwriter (online poetry and shortstories); Steve, the lead singer of the Christian rock band "Three Crosses"; and another inventor (O.K., my inventions won't exactly set the world on fire). My search for the history of the Pasch family continues. The Pasch name has its origins in christianity. During the first three centuries of the Church, Pasch referred to the fesitval in celebration of Christ's passion and death. The Romance languages later used the Hebrew-Greek-Latin root for theid words denoting Easter: Italian [Pasqua], Spanish [Pascua], and French [Pasques]. Even non-Romance languages employ this same root: Scotch [Pask], Dutch [Paschen], Swedish [Pask], and the German lower Rhine dialect [Paisken]. Famous Pasch's The Pasch family arrived in Sweden from Lubeck, Germany at the end of the 1600's [1].

16. A Guide To The Max Dehn Papers, 1899-1954, 1975-1979 Kneser, E. Noether, M. pasch, O. Toeplitz, and E Noether, Emmy, 18821935. pasch, moritz, 1843-1930. http://www.lib.utexas.edu/taro/utcah/00192/00192-F.html

17. Untitled Kneser, E. Noether, M. pasch, O. Toeplitz, and E 18821935. /persname persname encodinganalog="600" pasch, moritz, 1843-1930. /persname persname encodinganalog="600 http://www.lib.utexas.edu/taro/utcah/00192.xml

urn:taro:utexas.cah.00192 A Guide to the Max Dehn Papers, 1899-1954, 1975-1979 Text converted and initial EAD tagging done by Kristy Sorensen on April 18, 2003 Finding aid written in English. Tue Jul 22 15:29:09 CDT 2003 urn:taro:utexas.cah.00192 converted from EAD 1.0 to 2002 by v1to02.xsl (20030505). Descriptive Summary Dehn, Max, 1878-1952. Max Dehn Papers 2 ft., 2 in. Center for American History, The University of Texas at Austin Collection documents the career of Max Dehn (1878-1952), relating chiefly to his research in geometry, topology, group theory, and the history of mathematics. and [code "engger" not found in ISO 639-2 list]. Biographical Note Max Dehn (1878-1952) was a mathematician whose research focused on geometry, topology, group theory, and the history of mathematics. He began his career at Frankfurt University (1921-1935) and in 1940 immigrated to the United States where he worked with the Black Mountain college. Scope and Contents Collection documents the career of Max Dehn (1878-1952), relating chiefly to his research in geometry, topology, group theory, and the history of mathematics. The bulk of the papers is from Dehn's years at Frankfurt University (1921-1935) and after his immigration to the United States in 1940, where he was chiefly associated with Black Mountain college. Correspondents include E. Artin, O. Blumenthal, H. Bohr, S. Breuer, C. Caratheodory, M. Kneser, E. Noether, M. Pasch, O. Toeplitz, and E. Zermelo. Biographical material on Dehn is included. The collection also contains lecture notes by E. Hellinger. Included are correspondence, lecture and course notes, notebooks, manuscripts of publications, and reprints.

18. Universitätsbibliothek Karlsruhe Translate this page pasch, moritz Vorlesungen ueber neuere Geometrie Mit insgesamt 115 Abb /moritz pasch. - 2. Aufl.. - Berlin Springer, 1926. - 275 S. graph. http://www.ubka.uni-karlsruhe.de/hylib-bin/suche.cgi?opacdb=UBKA_OPAC&nd=483310&

19. Education World Search Max und moritz. This Web edition of Busch's classic children's story incorporates the original history/Mathematicians/Cantor_moritz. html. pasch. moritz. http//wwwgroups.dcs.st http://db.educationworld.com/search97cgi/s97r_cgi?queryText=Moritz Friedrich Wag

20. Universitätsbibliothek Karlsruhe Geometrie / pasch, moritz; Dehn, Max , 1926. . . Vorwärts blättern. http://www.ubka.uni-karlsruhe.de/hylib-bin/suche.cgi?experte=zr=math4.0 &opacdb=

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