1. 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

2. 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 Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index History Topics Societies, honours, etc.

3. Pasch Translate this page pasch moritz allemand, 1843-1930 Professeur de mathématiques à l'universitéde Giessen. Travaillant à une axiomatisation rigoureuse http://www.sciences-en-ligne.com/momo/chronomath/chrono1/Pasch.html

PASCH Moritz allemand, 1843-1930 Euclide la proposition suivante : si B alors B Hilbert A. P. Youschkevitch Ibn al Haytham bien auparavant. Ascoli Schwarz

4. National Central University Library ? ? Pascal Pierre 2 Pascal Structure And Style 1 PascallGillian 1 Pascarella Perry 1 Pascaud Nathalie 1 pasch moritz 1 Pasche http://opac2.lib.ncu.edu.tw/search*chi/apasche alexandre/apasche alexandre/-5,-1

®Ñ¦W ¥DD öÁä¦r °ê»Ú¼Ð·Ç¸¹½X µù°O ¾Fªñ §@ªÌ ¬O: Pascal Pierre Pascal Structure And Style Pascall Gillian Pascarella Perry ... Pascoe Graham

5. Les Mathématiciens Les Plus Connus. 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.webmaths.com/divers/matheux.php3

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-BIRUNI (Abû Rayhân Muhammad ben Ahmad) (973- 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 séjours 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

6. Unterricht NUC MELVYL NUC 1.) pasch, moritz Lecciones de geometria moderna. http://www.uni-giessen.de/~gp01/unterich/nuc2.htm

NUC , MCLC, CD-MARC und MELVYL Lernziele Funktion und Bedeutung der LoC Unterschied amerikanische Katalogisierungsregeln (ALA Cat. Rules, AACR) und deutsche Regeln (RAK, PI) NUC: Entstehung und Funktion Library of Congress und National Union Catalog Literaturhinweise Encyclopedia of Library and Information Science. Vol. 15. 1975. SAp 1, 5732 Artikel: Library of Congress p.19-93, Library of Congress Classification p. 93-200. SAp 1, 6090/25 Mathilde B. Rovelstad und Peter Schweigler: Die Bibliotheken in den Vereinigten Staaten und in Kanada. Wiesbaden: Reichert 1988. 414 S. (Elemente des Buch- und Bibliothekswesens ; 12) SAp 1,6090/24 (Umschlagtitel: Die Bibliotheken in den USA ...) Vorwort zum Bd 1 des NUC pre 56 Diann Rusch-Feja: t. In: Bibliotheksdienst 30 (1996) H.4 S. 630-642 Dorothea Sommer: Bibliotheken in den USA : ein Reisebericht . In: Bibliotheksdienst 28 (1994) H. 2 S. 155-174 Bibliothekswesen in den USA: Nationalbibliothek: Library of Congress: National Library of Medicine und der National Agricurltural Library fungiert sie als Nationalbibliothek der USA. Ansonsten keine nationalen Einrichtungen (Recht der Einzelstaaten).

7. 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. and put it on the striking surface instead of the match head 2. moritz pasch (8 Nov 1843 - 20 Sept 1930) Mathmatician 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].

8. Pasch Biography of moritz pasch (18431930) moritz pasch. Born 8 Nov 1843 in Breslau, Germany (now Wroclaw, Poland) 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 Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index History Topics Societies, honours, etc.

9. References For Pasch References for the biography of moritz pasch M Dehn and F Engel, moritz pasch, Jahresberichte der Deutschen Mathematiker vereinigung 44 (1934), 120142. http://www-history.mcs.st-and.ac.uk/~history/References/Pasch.html

References for Moritz Pasch Biography in Dictionary of Scientific Biography (New York 1970-1990). Articles: W S Contro, Von Pasch zu Hilbert, Arch. History Exact Sci. M Dehn and F Engel, Moritz Pasch, Jahresberichte der Deutschen Mathematiker vereinigung H C Kennedy, The origins of modern axiomatics: Pasch to Peano, Amer. Math. Monthly Mitt. Math. Sem. Giessen G Pickert, Inzidenz, Anordnung und Kongruenz in Pasch's Grundlegung der Geometrie, Mitt. Math. Sem. Giessen Main index Birthplace Maps Biographies Index History Topics ... Anniversaries for the year JOC/EFR December 1996 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/Pasch.html

10. Pa S C H , M O Ritz , Mathematiker, * 8. 11. 1843 B R Eslau, 20. 9 . pasch, moritz, Mathematiker, * 8. 11. 1843 Breslau, 20. http://www.mathematik.uni-muenchen.de/~fritsch/PASCH.pdf

11. Math Forum - Ask Dr. Math I need all possible information on moritz pasch. 1. Picture or photo of moritz pasch 2. Family background of moritz pasch 3. http://mathforum.com/library/drmath/view/52529.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

12. Www.iper1.com - Moritz Pasch Translate this page Cerca la rima. moritz pasch. Schalom Asch moritz pasch a b c d e fg h i j k l m n o p q r s t u v w x y z E-commerce - Per vendere http://www.iper1.com/rime/index.asp?cerca=Moritz Pasch

13. Pasch Portrait Portrait of moritz pasch moritz pasch. JOC/EFR August 2001 http://www-history.mcs.st-and.ac.uk/history/PictDisplay/Pasch.html

Moritz Pasch JOC/EFR August 2001 The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/PictDisplay/Pasch.html

14. Www.iper1.com - Schalom Asch Translate this page Cerca la rima. Schalom Asch. Schalom Asch moritz pasch a b c d e fg h i j k l m n o p q r s t u v w x y z E-commerce - Per vendere http://www.iper1.com/rime/index.asp?cerca=Schalom Asch

15. Math Forum - Ask Dr. Math moritz pasch. 1. Picture or photo of moritz pasch 2. Family backgroundof moritz pasch 3. What are the works pasch made for Mathematics? http://mathforum.org/library/drmath/view/52529.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

16. Math Forum - Ask Dr. Math Archives: High School History/Biography year 0. Why did they skip that year in the numbering? moritz pasch09/20/1997 I need all possible information on moritz pasch. http://mathforum.org/library/drmath/sets/high_history.html?start_at=81

17. Frege's Philosophical And Mathematical Correspondence (Chronologically) Frege to Giuseppe Peano (XIV/1) 30.01.1894 Giuseppe Peano to Frege (XIV/2) 10.02.1894Giuseppe Peano to Frege (XIV/3) 11.02.1894 moritz pasch to Frege (XIII/1). http://home.earthlink.net/~bwcarver/frege/letters.html

Frege's Philosophical and Mathematical Correspondence (Chronologically) The day.month.year is listed, then who the letter is to/from, and finally the reference number from McGuinness/Kaal. I have speculated as to the appropriate place of the seven undated letters. 29.08.1882 Frege to Anton Marty (XII/1) 09.09.1882 Carl Stumpf to Frege (XVI/1) 24.05.1891 Frege to Edmund Husserl (VII/1) 18.07.1891 Edmund Husserl to Frege (VII/2) after1891? Frege to Giuseppe Peano (XIV/1) 30.01.1894 Giuseppe Peano to Frege (XIV/2) 10.02.1894 Giuseppe Peano to Frege (XIV/3) 11.02.1894 Moritz Pasch to Frege (XIII/1) 20.01.1895 L. Eugene Ballue to Frege (I/1) 09.02.1895 L. Eugene Ballue to Frege (I/2) 14.08.1895 Giuseppe Peano to Frege (XIV/4) 01.10.1895 Frege to David Hilbert (IV/1) 04.10.1895 David Hilbert to Frege (IV/2) 24.10.1895 Giuseppe Peano to Frege (XIV/5) 05.04.1896 Giuseppe Peano to Frege (XIV/6) 29.09.1896 Frege to Giuseppe Peano (XIV/7) 9/10?.1896 Giuseppe Peano to Frege (XIV/8) 03.10.1896 Giuseppe Peano to Frege (XIV/9) 14.10.1896 Giuseppe Peano to Frege (XIV/10)

18. NDB 20 - Inhaltsverzeichnis NEUE DEUTSCHE BIOGRAPHIE (12) Inhaltsverzeichnis zum 20. 80 f. pasch, moritz. 1843. 1930. Mathematiker. VIII 731*, 81 f. http://www.ndb.badw-muenchen.de/ndb20.htm

NEUE DEUTSCHE BIOGRAPHIE NDB (12) Inhaltsverzeichnis zum 20. Band Im Rahmen der Digitalisierung und Kumulierung der Register Zum Inhalt des 17. Bandes Zum Inhalt des 18. Bandes Zum Inhalt des 19. Bandes Inhaltsverzeichnis zu NDB 20 Name geboren bzw. Verweis auf Namensvariante gestorben Beruf NDB 20 (soweit nicht anders angegeben), Seite Alethinos Ps. f. Pahl, Johann Gottfried v. 3 f. Angler , Hermann s. Piscator , Hermann Anselm , Felix Ps. f. Pollak , Felix 603 f. Aristide Ps. f. Pilat , Josef v. 438 f. Badner , Jakob Ps. f. Picard, Jacob 406 f. Baumann , Karl Ps. f. Pollock , Fritz 607 f. Baumann , Conrad s. Paumann, Conrad 138 f. Baurmeister v. Kochstedt, Tobias s. Paurmeister, v. Kochstedt, Tobias 139 f. , Jakob s. Paix, Jakob Benz , Georg s. Pencz, Georg Berthold , Paul Ps. f. Pappenheim, Bertha Betel , Georg s. Petel, Georg 217 f. Beucker , Caspar s. Peucer, Caspar 278 f. , Jakob s. Paix, Jakob Bezetus , Christoph s. Pezel, Christoph 287 f. Bibo s. Pibo Bichsel , Sebastian s. Pichsel , Sebastian 416 f. Bickert , Gerhard s. Piccard , Gerhard 407 f. s. der Pleier 525 f. Blenck , Joseph Jacob v. s.

19. The Mathematics Genealogy Project - Index Of PAS Pascal, Frederic, 1992. Pascal, Ernesto, pasch, moritz, Universität Breslau,1865. paschen, Hans, Philipps Universität Marburg, 1907. paschen, Hans, http://genealogy.math.ndsu.nodak.edu/html/letter.phtml?letter=PAS

20. Correspondência Matemática E Filosófica De Frege Translate this page de Frege para Giuseppe Peano 30.01.1894 - de Giuseppe Peano para Frege 10.02.1894- de Giuseppe Peano para Frege 11.02.1894 - de moritz pasch para Frege. http://www.educ.fc.ul.pt/docentes/opombo/seminario/fregerussel/correspondencial.

Correspondência Matemática e Filosófica de Frege, ordenada cronologicamente: 29.08.1882 - de Frege para Anton Marty 09.09.1882 - de Carl Stumpf para Frege 24.05.1891 - de Frege para Edmund Husserl 18.07.1891 - de Edmund Husserl para Frege depois de 1891? - de Frege para Giuseppe Peano 30.01.1894 - de Giuseppe Peano para Frege 10.02.1894 - de Giuseppe Peano para Frege 11.02.1894 - de Moritz Pasch para Frege 20.01.1895 - de L. Eugene Ballue para Frege 09.02.1895 - de L. Eugene Ballue para Frege 14.08.1895 - de Giuseppe Peano para Frege 01.10.1895 - de Frege para David Hilbert 04.10.1895 - de David Hilbert para Frege 24.10.1895 - de Giuseppe Peano para Frege 05.04.1896 - de Giuseppe Peano para Frege 29.09.1896 - de Frege para Giuseppe Peano 9/10?.1896 - de Giuseppe Peano para Frege 03.10.1896 - de Giuseppe Peano para Frege 14.10.1896 - de Giuseppe Peano para Frege não datada - de Frege para Giuseppe Peano 14.10.1896 - de Moritz Pasch para Frege 21.10.1896 - de L. Eugene Ballue para Frege 03.01.1897 - de L. Eugene Ballue para Frege 15.04.1897 - de L. Eugene Ballue para Frege

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