Geometry.Net - Scientists: Pasch Moritz

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
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

Extractions: 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
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
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
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

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

Extractions: Version 1.2 - 09 August 1997 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]. The Pasch family arrived in Sweden from Lubeck, Germany at the end of the 1600's [1].
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

Extractions: 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
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

Extractions: 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
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
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

Extractions: Associated Topics Dr. Math Home Search Dr. Math 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
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
Pasch Portrait
Portrait of moritz pasch moritz pasch. JOC/EFR August 2001
http://www-history.mcs.st-and.ac.uk/history/PictDisplay/Pasch.html
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
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

Extractions: Associated Topics Dr. Math Home Search Dr. Math 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
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
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
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

Extractions: 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.
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
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.

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