41. Hall Of Fame Translate this page pasch, moritz, Vorlesungen über neuere Geometrie. Pauli, Wolfgang, Relativitätstheorie.Perron, O. Die Lehre von den Kettenbrüchen. Bd. I - II. http://www.weiss-leipzig.de/teubner-hall-of-fame-1845-bis-2000.htm

Hall of Fame: B. G. Teubner 1845 - 2000 An dieser Stelle der Homepage erscheint eine (natürlich subjektive) Auswahl von Teubner-Titeln, die - für die Entwicklung des mathematisch-naturwissenschaftlichen Verlagsprogramms / für das Ansehen des Verlages besonders wichtig waren (z. B. die erste technische Schrift bei BGT von F. Kohl 1845, das erste mathematische Werk bei BGT von T. Franke 1849 und auch F. Kleins Autographierte Vorlesungshefte ab 1889), - die wesentlich zur wissenschaftlichen Entwicklung beigetragen haben, - die wirtschaftlich sehr erfolgreich waren - oder die hoffentlich bald wieder im Buchhandel erhältlich sein werden (z. B. die Bände von Ahrens, Poincare und auch Lorentz/Einstein/Minkowski ...). Schrittweise werden weitere Originaltitelseiten / erste Umschlagseiten / Links eingefügt. Demnächst folgen hier auch Teubner-Bücher der Jahre 1948 bis 2000. Vorschläge / Anregungen bitte an: Jürgen Weiß Lektorat im Haus des Buches Gerichtsweg 28. D-04103 Leipzig

42. 1845 - 1945 Translate this page pasch, moritz, 1843-1930. Pauli, Wolfgang, 1900-1958. Peano, Giuseppe, 1858-1932,TAzM-Bd.13. Pearson, Karl, 1857-1936. Pernet, J. Perron, Oskar http://www.weiss-leipzig.de/teubner-herausgeber-und-autoren-1845-bis-1945.htm

Teubner-Autoren und -Herausgeber Mathematik / Naturwissenschaften (1845 - 1945 / Auswahl) Siehe auch: Teubner-Autoren und -Herausgeber Mathematik / Naturwissenschaften / Informatik (1948 - 2000 / Auswahl) ... A B ... Z Name des Hrsg. / Autors Vorname Geb. / Gest. A Abbot Edwin A. Abel Niels Henrik Ahrens Wilhelm Apollonius 3./2. Jh. v. Chr. Archimedes v. Chr. Aristoteles v. Chr. Artin Emil B Bachmann Paul Bardey Ernst Bianchi Luigi Bieberbach Ludwig Blaschke Wilhelm TAzM-Bd.08 Bliss Gilbert Ames Blumenthal Otto Bocher Maxime Boltzmann Ludwig Bolyai Janos (Johann) TAzM-Bd.04 Bolyai Wolfgang Bolza Oskar Bonola Roberto WH-Bd.IV Boole George Borel Emile Born Max Börnstein R. Bortkewitsch L. von Boutroux Pierre WH-Bd.XXVIII Brill Alexander von Bruhns Carl Christian Bruns Heinrich Burkhardt Heinrich C Cantor Georg TAzM-Bd.02 Cantor Moritz Caratheodory Constantin TAzM-Bd.18 Cartan Elie Joseph Carvallo R. Castelnuovo Guido Cesaro Ernesto Chittenden Brace Christoffel Elvin B. Clebsch Alfred Crantz Paul Curtze Maximiliam Czuber Emanuel WH-Bd.XXIV D Dalwigk F. v.

43. Historia Matematica Mailing List Archive: [HM] Pasch, Peano, Hilbert Etc. I moritz pasch s Vorlesungen uber neuere Geometrie , Leipzig 1882, appeared afterthe admirable geometrical treatises by von http://sunsite.utk.edu/math_archives/.http/hypermail/historia/jul98/0078.html

[HM] Pasch, Peano, Hilbert etc. I Walter Felscher walter.felscher@uni-tuebingen.de Wed, 22 Jul 1998 17:26:05 +0200 (MESZ) Messages sorted by: [ date ] [ thread ] [ subject ] [ author ] Next message: Walter Felscher: "[HM] Pasch, Peano, Hilbert etc. II" Previous message: Jim Murdock: "[HM] camel/mule problem" In reply to: Julio Gonzalez Cabillon: "[HM] How much did H. know of Italian work (ca. 1899)?" Next in thread: Walter Felscher: "[HM] Pasch, Peano, Hilbert etc. II" Dear M. Cabillon , dear colleagues, please, permit me to add a few more remarks to our topic. Moritz Pasch's "Vorlesungen "uber neuere Geometrie", Leipzig 1882, appeared after the admirable geometrical treatises by von Staudt 1856/57 and by Reye 1866/68 . From the inner-mathematical point of view, one of the essential new discoveries presented in Pasch's "Vorlesungen" was the axiomatization of the betweenness relation (or order, acknowledged in Hilbert's axiom group II) to which he succeeded to reduce notions such as rays, half-planes etc. which previously has been employed only intuitively. In so

44. Historia Matematica Mailing List Archive: [HM] How Much Did H. Know Of Italian W Having recalled this, I would hazard a name moritz pasch. Most historians andmathematicians would concur in this name, I presume. Hans Freudenthal s http://sunsite.utk.edu/math_archives/.http/hypermail/historia/jul98/0069.html

[HM] How much did H. know of Italian work (ca. 1899)? Julio Gonzalez Cabillon jgc@adinet.com.uy Sat, 18 Jul 1998 03:39:18 -0300 Messages sorted by: [ date ] [ thread ] [ subject ] [ author ] Next message: Alton Amidon: "[HM] 17 Mules" Previous message: Alexander Zenkin: "[HM] On authorship of some recent discovery in Math. and Logic" Next in thread: Jan Mycielski: "Re: [HM] How much did H. know of Italian work (ca. 1899)?" Dear Walter, and other friends, There seems to be certain disagreement as to whether Hilbert was sufficiently acquainted with contemporary Italian mathematics before his "Grundlagen der Geometrie" (GG) was published in 1899. It has been noticed time and again that the great Peano is absent in that 'ars magna'. In a recent article [1], dedicated to David Fowler on the occasion of his 60th birthday, Jeremy Gray remarks: Toepell [2] shows that although Hilbert did not read Italian easily, he listed Peano's book on the Grassmann calculus in its German translation [3] as one of the books on the axioms of geometry. Toepell therefore disagrees with Morris Kline's

45. FOM: Re: Your Mail moritz pasch in 1880 or so demonstrated that this mathematical statement is false. Of course I, like any other mathematician, would say that the http://www.cs.nyu.edu/pipermail/fom/1999-January/002508.html

FOM: Re: your mail Joe Shipman shipman at savera.com Mon Jan 4 15:46:23 EST 1999 Next message: FOM: certainty; reply to Noria, Vorobey, Trybulec Messages sorted by: [ date ] [ thread ] [ subject ] [ author ] Joe, I am going to answer head on your question, what if mathematicians unanimously agree that A is true, and later agree that it is false. Do I claim that the truth value of a mathematical statement switches back and forth in such an eventuality? By the way, this is not a mere fictitious supposition. For around 2,000 years all mathematicians agreed that the statement "Euclid's theorems follow logically from his axioms" was true. Moritz Pasch in 1880 or so demonstrated that this mathematical statement is false. Of course I, like any other mathematician, would say that the statement was false all along; the unanimous mathematicians were mistaken. In previous letters, I gave examples of statements about social realities which were unequivocally true. (I know you can make up counterexamples involving fraud or masquerade or mistaken identity. The truth here

46. A Formal Theory For Geometry Geometers such as moritz pasch discovered what they regarded as gaps or inaccuraciesin the Elements. Great mathematicians such as David Hilbert entered the http://www.math.psu.edu/simpson/papers/philmath/node15.html

47. HGS: Hamburg Passenger List 1872, Par-Paz pasch, August, 36, 5 Apr 1872, Hansa, US/Hull, C, 235a. pasch, Auguste, 45,11 May 1872, Pacha Pasner, moritz, 14, 31 Jul 1872, Cimbria, NY, B, 848 http://www.progenealogists.com/germany/hamburg/hampar.htm

Family History Research Group Records Retrieval and Ancestry Research Germany Kory L. Meyerink List of Services Contact Us Link to Us Hamburg Passenger List - 1872, Par-Paz Surname Given Name Age Depart Date Vessel Destination Film Page Paradies Abel 26 Jul 1872 Urania NY/Liverpool C Paradies Adolph 14 Feb 1872 Silesia NY A Paradies August 4 Apr 1872 Humboldt Port Denison A Paradies Bertha 4 Apr 1872 Humboldt Port Denison A Paradies Carl 4 Apr 1872 Humboldt Port Denison A Paradies Caroline 4 Apr 1872 Humboldt Port Denison A Paradies Christian 4 Apr 1872 Humboldt Port Denison A Paradies Friederike 4 Apr 1872 Humboldt Port Denison A Paradies H. 3 Jul 1872 Westphalia NY B Paradies Heinrich 4 Apr 1872 Humboldt Port Denison A Paradies Ida 3 Jul 1872 Westphalia NY B Paradies Jette 4 Apr 1872 Humboldt Port Denison A Paradies Otto 4 Apr 1872 Humboldt Port Denison A Paradies Wilhelmine 4 Apr 1872 Humboldt Port Denison A Paradowska Constanzia 13 Nov 1872 Silesia NY B Paradowska Josephaa 13 Nov 1872 Silesia NY B Paradowska Marianne 13 Nov 1872 Silesia NY B Paradowska Michalina 13 Nov 1872 Silesia NY B Paradowska Victoria 13 Nov 1872 Silesia NY B Paradowski Matth 24 Apr 1872 Hammonia NY A Paraeska Johann 13 Sep 1872 Minerva NY D Paraeska Michalina 13 Sep 1872 Minerva NY D Paraeska Simon 13 Sep 1872 Minerva NY D Parasnivich John 20 Nov 1872 Gitana NY D Parbs Hans H J 17 Jul 1872 Washington NY B Parchen Heinrich 6 Dec 1872 Brasilien Santos B Parchen Ludwig 6 Dec 1872 Brasilien Santos B Pardo Michael 23 Jul 1872 Germania Colon B Pardon August 28 Aug 1872 Westphalia NY B Pardua Julie 8 Oct 1872 Cumberland US D Parel Emil

48. Mathematicians From DSB Translate this page pasch, moritz, 1843-1930. Peano, Giuseppe, 1858-1932. Peirce, Charles Sanders,1839-1914. Pfaff, Johann Friedrich, 1765-1825 http://www.henrikkragh.dk/hom/dsb.htm

Last modification: document.write(document.lastModified) emailaddr('webmaster','henrikkragh.dk','Webmaster','hkssmall'); Validate html Mathematicians from the Dictionary of Scientific Biography (DSB) For biographic details of Scandinavian mathematicians (and others), see my link page to DBL (Danish) or to NBL (Norwegian) Abel, Niels Henrik Ampère, André-Marie Argand, Jean Robert Arrhenius, Svante August Artin, Emil Beltrami, Eugenio Berkeley, George Bernoulli, Jakob I Bernoulli, Johann I Bertrand, Joseph Louis François Bessel, Friedrich Wilhelm Bianchi, Luigi Bjerknes, Carl Anton Bjerknes, Vilhelm Frimann Koren Bolyai, Farkas Bolyai, János Bolzano, Bernard Bombelli, Rafael Borchardt, Carl Wilhelm Borel, Émile Félix-Édouard-Justin Bouquet, Jean-Claude Briot, Charles Auguste Bérard, Jacques Étienne Bérard, Joseph Frédéric Cantor, Georg Carathéodory, Constantin Cardano, Girolamo Cauchy, Augustin-Louis Cayley, Arthur Chasles, Michel Chebyshev, Pafnuty Lvovich Clairaut, Alexis-Claude Clausen, Thomas Clebsch, Rudolf Friedrich Alfred Colden, Cadwallader

49. College Mathematics Journal, The: Foundations Of Geometry And The History Of Geo 1882 publication of moritz pasch s Vorlesungen fiber neuere Geometrie, Graysuggests that the major results in this endeavor were achieved by Italians. http://www.findarticles.com/p/articles/mi_qa3773/is_199809/ai_n8810268

@import url(/css/us/style1.css); @import url(/css/us/searchResult1.css); @import url(/css/us/articles.css); @import url(/css/us/artHome1.css); Advanced Search Home Help IN free articles only all articles this publication Automotive Sports 10,000,000 articles - not found on any other search engine. FindArticles College Mathematics Journal, The Sep 1998 Content provided in partnership with 10,000,000 articles Not found on any other search engine. Featured Titles for ASA News ASEE Prism Academe African American Review ... View all titles in this topic Hot New Articles by Topic Automotive Sports Top Articles Ever by Topic Automotive Sports foundations of geometry and the history of geometry, The College Mathematics Journal, The Sep 1998 by Marchisotto, Elena A Save a personal copy of this article and quickly find it again with Furl.net. It's free! Save it. The Foundations of Geometry and the History of Geometry, Jeremy Gray. Mathematical Intelligencer 20:2 (Spring 1998) 54-59. Continue article Advertisement Save Print Send Link ... Subscribe IN free articles only all articles this publication Automotive Sports FindArticles - research-quality articles from trusted sources About Us Advertise with Us ... Furl.net

50. History Of Mathematics: Chronology Of Mathematicians Gaston Tarry (18431913) *MT; Hermann Amandus Schwarz (1843-1921) *MT;moritz pasch (1843-1930) *SB *MT; Karl Friedrich Geiser (1843-1934) *SB 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

51. Mathematik/Informatik-Bibliothek Heidelberg : Sonderdrucke Staeckel Translate this page 118, pasch, moritz, 12. 119, Perron, Oskar, I 13, II 22, II 23-53. 120,Pfeiffer, Friedrich, 10. 121, Piccard, Emile, 10 http://math.uni-heidelberg.de/bib/lit/son.html

Home IWR URZ UB ... ZUV aktualisiert am Homo Heidelbergensis mathematicus No. Name Vorname Anzahl Sonderdrucke Beck Hans Bernstein Felix Berwald Ludwig Berzolari Luigi Bianci Luigi I: 18, II: 21, III: 14 Bieberbach Ludwig Blaschke Wilhelm Blumenthal Otto Maxime Boehm Karl Bohlmann Georg Bohr Harald Bolza Oskar Bonola Roberto Bosmans Henri I: 39, II: 40-90, III: 91-117 (alle an Karl Bopp) Anton v. Brouwer Luitzen E.J. Burckhardt Heinrich Cantor Georg Cantor Moritz Constantin Et. Cosserat Courant Richard Couturat Louis Cranz Carl Czuber Emanuel (Mechaniker) 21 Dehn Max Demoulin Alphonse Denizot Alfred Dingeldey Friedrich Disteli Martin Engel Friedrich Escherich G.v. Faber Georg Leopold Finsterwalder Sebastian Fischer Ernst Fricke Robert Frischauf Johannes Fuchs Richard Fueter Rudolf Greenhill A.G. Gundelfinger S. Paul Gutzmer August Hadamard Jacques Haentzschel Emil Hahn Hans Hahn Lilly Hamburger M. Hamel Georg Hartogs Fritz Harzer Paul Haupt Otto Hausdorff Felix Haussner Robert Hecke Erich Heffter Lothar Hellinger Ernst Hensel Kurt Hermite Charles Heun Karl (Mechaniker) 8 Hilb Emil Hilbert David Otto Horn J.

52. Un Paralogismo Del Paralogismo Translate this page Estos estudios culminaron con el trabajo de moritz pasch publicado en 1882,continuado y enriquecido por Giuseppe Peano (1889), David Hilbert (1899) y http://cremc.ponce.inter.edu/1raedicion/paralogismo.htm

53. Physik: DPG Tagungen 2001 - Sitzung P 8 •Ekkehard pasch, moritz Heintze und Karsten Schröder INPGreifswald. Vapor-growncarbon fibers (VGCF) are produced catalytically on metallic surfaces from http://www.dpg-tagungen.de/archive/2001/html/p_8.html

Deutsche Physikalische Gesellschaft e. V. (DPG) E-Verhandlungen 2001 Programm und Abstracts der Sitzung P 8 Magnetic Confinement and Plasma Technology (Poster Session) Mo 12:30-15:00 P 8.1 Poster Mo 12:30 Experiments on influencing the turbulence in the plasma boundary of Wendelstein 7-AS stellarator with active Langmuir probes , Martin Schubert und Michael Endler P 8.2 Poster Mo 12:30 Conditional averaging of fluctuations in the SOL of the Stellarator W7-AS , T. Klinger , M. Endler und A. Piel The results of an experimental study of the dynamics of large-scale density and potential fluctuations in the SOL of the stellarator Wendelstein-7AS are presented. The fluctuations are measured by electrostatic probes. To extract large-scale coherent fluctuation structures from the noisy uncorrelated background, data is analyzed with conditional averaging [1]. It turns out that monopole-like potential structures with typical lifetimes of 20 m s and spatial extension of 5mm-10mm propagate poloidally in ion diamagnetic drift direction. The cross-parameter study between potential and density fluctuations shows that the fluctuations are poloidally phase-shifted by - p /2. A toroidal phase shift is not observed. The results strongly support that the formation of the large-scale fluctuation structures is based on the interchange instability [2].

54. List Of Scientists By Field Translate this page pasch, moritz. paschen, Louis Carl Heinrich Friedrich. Pasteur, Louis. Pasteur,Louis. Pasteur, Louis. Pasteur, Louis. Patrizi, Francesco http://www.indiana.edu/~newdsb/p.html

Pacchioni, Antonio Pacini, Filippo Pacini, Filippo Pacinotti, Antonio Pacioli, Luca Pacioli, Luca Packard, Alpheus Spring Padoa, Alessandro Pagano, Giuseppe Painter, Theophilus Shickel Paley, William Palisa, Johann Palissy, Bernard Palissy, Bernard Palladin, Aleksandr Vladimirovich Palladin, Aleksandr Vladimirovich Palladin, Vladimir Ivanovich Palladin, Vladimir Ivanovich Pallas, Pyotr Simon Pallas, Pyotr Simon Palmer, Edward Pander, Christian Heinrich Pander, Christian Heinrich Paneth, Friedrich Adolf Paneth, Friedrich Adolf Pannekoek, Antonie Papaleksi, Nikolai Dmitrievich Papanicolaou, George Nicholas Papanicolaou, George Nicholas Papin, Denis Pappus of Alexandria Pappus of Alexandria Pappus of Alexandria Paracelsus, Theophrastus Philippus Aureolus Bombastus von Hohenheim Paracelsus, Theophrastus Philippus Aureolus Bombastus von Hohenheim Paracelsus, Theophrastus Philippus Aureolus Bombastus von Hohenheim Paracelsus, Theophrastus Philippus Aureolus Bombastus von Hohenheim Pardies, Ignace Gaston Parenago, Pavel Petrovich Parent, Antoine Parkhurst, John Adelbert

55. New Dictionary Of Scientific Biography Translate this page pasch, moritz Patrizi, Francesco Peacock, George Peano, Giuseppe Pearson, KarlPecham, John Peirce, Benjamin Peirce, Benjamin Osgood Peirce, Charles Sanders http://www.indiana.edu/~newdsb/math.html

Make Suggestions Mathematics Abel, Niels Henrik Abraham Bar ?iyya Ha-Nasi Abu Kamil Shuja? Ibn Aslam Ibn Mu?ammad Ibn Shuja? Abu'l-Wafa? al-Buzjani, Mu?ammad Ibn Mu?ammad Ibn Ya?ya Ibn Isma?il Ibn al- ?Abbas Adams, John Couch Adelard of Bath Adrain, Robert Aepinus, Franz Ulrich Theodosius Agnesi, Maria Gaetana Aguilon, François d' A?mad Ibn Yusuf Aida Yasuaki Ajima Naonobu Akhiezer, Naum Il'ich Albert, Abraham Adrian Albert of Saxony Alberti, Leone Battista Aleksandrov, Pavel Sergeevich Alembert, Jean Le Rond d' Alzate y Ramírez, José Antonio Ampère, André-Marie Amsler, Jakob Anatolius of Alexandria Anderson, Oskar Johann Viktor Andoyer, Henri Angeli, Stefano Degli Anthemius of Tralles Antiphon Apollonius of Perga Appell, Paul Arbogast, Louis François Antoine Arbuthnot, John Archimedes Archytas of Tarentum Argand, Jean Robert Aristaeus Aristarchus of Samos Arnauld, Antoine Aronhold, Siegfried Heinrich Artin, Emil Atwood, George Autolycus of Pitane Auzout, Adrien

56. Originally Published In , Science In Context 12 (1998) 137-183 the most important ones included the German tradition of work on projective=geometry (in particular moritz pasch s text of 1882), and, perhaps to a so= http://www.math.rutgers.edu/~zeilberg/mamarim/akherim/corry.txt

57. Lexikon: Axiom Von Pasch - Begriff Translate this page Das Axiom von pasch (nach moritz pasch) ist ein Axiom der Geometrie Es seien A,B, C drei nicht in gerader Linie gelegene Punkte und a eine Gerade in der http://lexikon.donx.de/?action=details&show=Axiom von Pasch

58. Tvr Iasi - Stiri - O Noua Zi, Acelasi Prieten ! In 1889 a transpus geometria euclidiana, reformata de moritz pasch, in termeniilogicii simbolice. In 1890 a descoperit o curba unidimensionala si continua http://www.tvriasi.ro/

contribuie resurse web sondaje vechi calendar ... Forum Bine ati venit la Tvr Iasi - Stiri Wednesday, September 07 2005 @ 11:48 AM EEST Membru Info Nume: Parola: Nu ai un cont inca? Inregistreaza-te ca Nou Membru Sectiuni Home Stiri TVR IASI Arena Accente Calatori si Calatorii ... Iasi International Meteo Curs Valutar //sectiunea de parametri title_bg="#000080"; //culoarea de fundal a barei de titlu text_bg1="#FFFFFF"; //prima culoare de fundal a continutului text_bg2="#EEEEEE"; //a doua culoare de fundal a continutului width_curs="170"; //latimea casetei title_style="font-family: Arial, Helvetica, sans-serif; font-size: 12px; font-weight: bold; color: #FFFFFF;"; //stilul textului din zona de titlu text_style="font-family: Arial, Helvetica, sans-serif; font-size: 10px; font-weight: normal; color: #000000;"; //stilul textului din zona de continut box_style="border: 2px outset #8080FF;"; //stilul casetei SoftPediaNews Robbie Williams nu se tine de cuvant Un troian inspirat de Coran nu mai vrea pornografie Christina Aguilera canta la nunti de lux Mickey Rourke si-a lovit unul dintre fani ... Noile reguli scolare impun un raport bilunar catre parinti CNN News ADV: Discreet Adult Personals at HotMatchup NASA: Discovery unaffected by falling foam Energy bill passes with big tax breaks Sources: U.S. stopped from seizing bomb suspect

59. Liste Alphabétique Des Mathématiciens Translate this page pasch (moritz), Allemand (1843-1930). Peacock (George), Anglais (1791-1858).Peano (Guiseppe), Italien (1858-1932). Pearson (Karl), Anglais (1857-1936) http://www.cegep-st-laurent.qc.ca/depar/maths/noms.htm

Abel (Niels Henrik) Agnesi (Maria Guetana) Italienne (1718-1799) Alembert (Jean Le Rond d') Alexander (James Waddell) Alexandroff (Pavel Sergeevich) Russe (1896-1982) Apian (Peter Benneuwitz, dit) Allemand (1495-1552) Apollonios de Perga Grec(v.~262-v.~180) Appel (Paul) Grec (~287-~212) Aristote Grec (~384-~322) Arzela (Cesare) Italien (1847-1912) Ascoli (Guilio) Italien (1843-1896) Babbage (Charles) Anglais (1792-1871) Banach (Stefan) Polonais (1892-1945) Argand (Jean Robert) Suisse (1768-1822) Barrow (Isaac) Anglais (1630-1677) Bayes (Thomas) Anglais (1702-1761) Bellavitis (Giusto) Italien (1803-1880) Beltrami (Eugenio) Italien (1835-1900) Bernays (Paul) Suisse (1888-1977) Bernoulli (Daniel) Suisse (1700-1782) Bernoulli (Jacques) Suisse (1654-1705) Bernoulli (Jean) Suisse (1667-1748) Allemand (1878-1956) Bernstein (Sergei Natanovich) Russe (1880-1968) Bertrand (Josepn) Bessel (Friedrich) Allemand (1784-1846) Birkoff (George David) Bliss (Gilbert Ames) Bochner (Salomon) Allemand (1899-1982) Bolyai (Janos) Hongrois (1802-1860) Bolzano (Bernhard) Bombelli (Raffaele) Italien (1522-1572) Bonnet (Ossian) Boole (George) Anglais (1815-1864) Bourbaki (Nicolas) Braikenridge (William) Anglais (v.1700-1762)

60. Www.batmath.it Di Maddalena Falanga E Luciano Battaia Translate this page Fu moritz pasch, nel 1882, ad accorgersi per primo della impossibilità di dedurrequesto fatto come conseguenza degli altri assiomi. Lo stesso pasch si http://www.batmath.it/geo/cap1/enti_fond.htm

geo home Capitolo 1 Gli enti fondamentali: punti, rette, semirette, segmenti, poligoni, angoli Siamo ora pronti per addentrarci nel campo della geometria piana, cominciando ad introdurre assiomi, teoremi, definizioni. Dovremo preoccuparci di procedere rigorosamente con il metodo assiomatico-deduttivo, controllando sempre di utilizzare solo termini già definiti o affermazioni già provate. In realtà la cosa non è per niente semplice, ed è forse troppo ambiziosa per gli scopi che ci siamo prefissi: per questo abbiamo scelto la strada di iniziare a presentare la teoria nella forma più rigorosa possibile, con lo scopo di evidenziare le difficoltà che si presentano, per poi adottare un metodo "abbreviato" che ci consenta di giungere rapidamente ai risultati voluti. L'impostazione che seguiremo prende le mosse da quella di Hilbert, con le necessarie semplificazioni e adattamenti: riteniamo importante che uno studente di Scuola Media Superiore abbia una conoscenza seppur parziale di una costruzione storicamente così importante. In ogni caso avvertiamo il lettore che questa pagina di introduzione degli enti fondamentali ha un aspetto "poco invitante", in quanto è infarcita di assiomi, piccoli teoremi, definizioni, ma non c'è scampo se vogliamo almeno cercare di far vedere come si inizia la costruzione di una teoria con le caratteristiche che ci siamo prefissi. ASSIOMA 1 Dati due punti distinti A e B esiste una ed una sola retta r che li contiene.

A  B  C  D  E  F  G  H  I  J  K  L  M  N  O  P  Q  R  S  T  U  V  W  X  Y  Z

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