61. La Matematica Italiana 1800-1950 Translate this page eugenio beltrami (1835-1900). Saggio di interpretazione della Geometrianon-euclidea, Giornale di matematiche ad uso degli studenti http://www.math.unifi.it/matematicaitaliana/schede_opere/36beltrami68.html

EUGENIO BELTRAMI (1835-1900) Saggio di interpretazione della Geometria non-euclidea Nello stesso lavoro, Beltrami fa anche vedere come la pseudosfera possa essere rappresentata sul cerchio di raggio unitario, dotato di una metrica opportuna. Bibliografia: Enrico Giusti scheda successiva scheda precedente indice schede

62. La Matematica Italiana 1800-1950 Translate this page eugenio beltrami (1835-1900). Ricerche di Bibliografia E. Pascal, Commemorazionedi eugenio beltrami, Rend. R. Ist. Lomb. Sc. Lett., (II http://www.math.unifi.it/matematicaitaliana/schede_opere/31beltrami64.html

EUGENIO BELTRAMI (1835-1900) Ricerche di analisi applicata alla geometria Bibliografia: E. Pascal, Commemorazione di Eugenio Beltrami, Rend. R. Ist. Lomb. Sc. Lett., (II) 34 (1901), p. 57-108; R. Tazzioli, Ether and Theory of Elasticity in Beltrami's Work, Arc. Hist. Ex. Sc., 45 (1993), p. 1-37; R. Tazzioli, The role of Differential Parameters in Beltrami's Work, Hist. Math., 24 (1997), p. 25-45. Luca Dell'Aglio scheda successiva scheda precedente indice schede

63. Examples Of The Beltrami Flow Embedding. Examples of the beltrami Flow. eugenio beltrami (left mostimage), and 4 steps along the beltrami flow (scale space). Movie http://www.cs.technion.ac.il/~ron/belt-html/node1.html

Next: 2D Medical Image Up: Images as Embedding Previous: Images as Embedding Examples of the Beltrami Flow Eugenio Beltrami (left most image), and 4 steps along the Beltrami flow (scale space). Movie of the flow for the above gray level image (mpg 140K) Movie of the flow for `girl' color image (mpg 470K), for `bikers' color image (mpg 448K), for `sails' color image (mpg 91K), ... Texture Note: In the follwoing exampes the figures would scale as you scale your WWW window. I.e. for a larger image, just increase the size of the your WEB window. Back to Ron Kimmel homepage

64. Mathematicians From DSB Translate this page Argand, Jean Robert, 1768-1822. Artin, Emil, 1898-1962. beltrami, eugenio, 1835-1899.Bérard, Jacques Étienne, 1789-1869. Bérard, Joseph Frédéric, 1789-1828. http://www.henrikkragh.dk/hom/dsb.htm

Last modification: document.write(document.lastModified) Webmaster Validate html Mathematicians from the Dictionary of Scientific Biography (DSB) Abel, Niels Henrik Argand, Jean Robert Artin, Emil Beltrami, Eugenio Bérard, Jacques Étienne Bérard, Joseph Frédéric Berkeley, George Bernoulli, Johann (Jean) I Bernoulli, Jakob (Jacques) I Bertrand, Joseph Louis François Bessel, Friedrich Wilhelm Bianchi, Luigi Bjerknes, Carl Anton Bjerknes, Vilhelm Frimann Koren Bolyai, Farkas (Wolfgang) Bolyai, János (Johann) Bolzano, Bernard Bombelli, Rafael Borel, Émile (Félix-Édouard-Justin) Bouquet, Jean-Claude Briot, Charles Auguste Cantor, Georg Carathéodory, Constantin Cardano, Girolamo Cauchy, Augustin-Louis Cayley, Arthur Chebyshev, Pafnuty Lvovich Clairaut, Alexis-Claude Clausen, Thomas Clebsch, Rudolf Friedrich Alfred Colden, Cadwallader Collinson, Peter Condorcet, Marie-Jean-Antoine-Nicolas Caritat, marquis de Cramer, Gabriel Crelle, August Leopold d'Alembert, Jean le Rond de Morgan, Augustus Dedekind, (Julius Wilhelm) Richard Delambre, Jean-Baptiste Joseph Descartes, René du Perron

65. Liste Alphabétique Des Mathématiciens Translate this page Bayes (Thomas), Anglais (1702-1761). Bellavitis (Giusto), Italien (1803-1880).beltrami (eugenio), Italien (1835-1900). Bernays (Paul), Suisse (1888-1977). 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)

66. Prénom Translate this page beltrami, eugenio, 1835-1900, Crémone-Rome, BENDIXEN, A. BERLINER, S. BERNOULLI,Daniel, 1700-1782, Groningue-Bâle, BERNOULLI, Jacques, 1759-1789, 1 - Nova acta,vol. http://perso.wanadoo.fr/philippe.fichou/auteurs.htm

67. Nouveautés: Auteurs Septembre 99 porte rappels de cours et exercices corrigés. beltrami, eugenio. 01. http://dmawww.epfl.ch/BIBLIO_DMA/english/catalogue_dma/nouveautes/9_99auteurs.ht

New acquisitions: July - September 99 classified by author Author Subject Notice [AMERICAN MATHEM. SOC.] 00.A.10. Differential operators and spectral theory : M.Sh. Birman's 70th anniversary collection / V. Buslaev, M. Solomyak, D. Yafaev (Eds.). - Providence, RI: AMS, 1999. - VIII, 285 p. : ill. ; 26 cm. - (American Mathematical Society Translations, ISSN 0065-9290 ; Series 2, vol. 189. Advances in the Mathematical sciences ; 41) [AMERICAN MATHEM. SOC.] 00.A.10. Moscow seminar in mathematical physics / A. Yu. Morozov, M.A. Olshanetsky (Eds.). - Providence, RI: AMS, 1999. - X, 299 p. : ill. ; 26 cm. - (American Mathematical Society Translations, ISSN 0065-9290 ; Series 2, vol. 191. Advances in the Mathematical sciences ; 43) [AMERICAN MATHEM. SOC.] 00.A.10 Differential and symplectic topology of knots and curves / S. Tabachnikov (Ed.). - Providence, RI: AMS, 1999. - X, 286 p. : ill. ; 26 cm. - (American Mathematical Society Translations, ISSN 0065-9290 ; Series 2, vol. 190. Advances in the Mathematical sciences ; 42) APOLLONIUS DE PERGE ARNOLD, Barry C

68. Nouveautés: Sujet Septembre 99 Translate this page (Comprendre les mathématiques par les textes historiques) (IREM - histoiredes mathématiques) Index inclus ISBN 2-7298-6818-6. 01. beltrami, eugenio. http://dmawww.epfl.ch/BIBLIO_DMA/english/catalogue_dma/nouveautes/9_99sujets.htm

New acquisitions: July - September 99 classified by subject Subject Author Notice 00.A.05 DELAHAYE, Jean-Paul ISBN 2-844245-010-8 00.A.05 DEWDNEY, A K A Mathematical mystery tour : discovering the truth and beauty of the cosmos / A. K. Dewdney. - New York [etc.] : Wiley, cop. 1999. - VI, 218 p. : ill. ; 24 cm Index inclus ISBN 0-471-23847-3 00.A.05. Vol. 1999 : La politique, les connaissance, la culture en 1998. - 1999. - 551 p. Index inclus ISBN 2-85229-326-9 00.A.05 Vol. 1993 : Afghanistan-Zimbabwe. - 1993. - 573 p. ISBN 2-85229-240-4 (set) 00.A.05. [KOERNER, T W] ISBN 0-521-56823-4 reprinted with corrections 1998 [KOERNER, T W] 00.A.05 NOMBRES... Nombreux portraits ISBN 2-7117-8901-2 00.A.05 QUELQUES... ISBN 2-7298-6835-6 00.A.05

69. Aa, Personal , Ahmet Kaya ,Þebnem Ferah , Göksel , Ebru Gündeþ Jean (222) Beaune, Florimond de (316) Beg, Ulugh (1219*) Bell, Eric Temple (296*)Bell, John (3132*) Bellavitis, Giusto (762*) beltrami, eugenio (1057*) ben http://www.newturk.net/index111.html

English Turkish German French ... Spanish Top20 Free 1. Sexy toplist 3. Hitboss 4. Top20 Free 6. Webservis 7. ErciToplist 8. Sorf Toplist DO YOU WANT TO GET A FREE ALBUM Than click here. This is the easiest and free way. Create your own digital foto album. Click here and download it free. FLIPALBUM creates wicked 3D page-flipping photo album instantly and automatically. ALL FUN! NO HASSLE! Get your FREE TRIAL DOWNLOAD! HOVERFLY-2 INDOOR HELICOPTER Hoverfly is a great little helicopter. It comes attractively finished and ready to fly. It’s small, tough and quiet - and it flies indoors. Yet it handles just like its bigger brothers. You have a web site and you want to earn money, then click here. We recommend you the Otherlandtoys.co.uk, Commission Junction Program WWW Google Altavista document.write(""); document.write(""); document.write(""); document.write(""); var isjs=0, site=665, icon=3; var id = 100 document.write(""); var isjs=0, site=1780, icon=1; Search Web Auctions Forums Jobs for Free Mail UK Banner X Rate this site at CMATHER.COM Top 100! 10- Best 1- Worst Rate this site!

70. Grondleggers De Italiaan eugenio beltrami was de eerste die een model ontdekte voorde hyperbolische meetkunde, in het jaar 1868. Hetzelfde model http://members.lycos.nl/gulikgulikers/NE_grondleggers.htm

Grondleggers van de niet-Euclidische meetkunde slu Eeuwenlang is het parallellenpostulaat van Euclides een probleem geweest dat wiskundigen heeft bezig gehouden. Al in de vijfde eeuw na Christus deed de Griekse wiskundige Proclus, die een commentaar heeft geschreven op de Elementen , een poging om het vijfde postulaat af te leiden uit de andere vier postulaten. Ook vele andere wiskundigen, zoals Wallis en Saccheri, probeerden een bewijs te vinden voor het parallellenpostulaat en pas in de negentiende eeuw zou blijken dat dit onmogelijk is. In die tijd waarin Europa in beroering was was de tijd rijp voor een doorbraak in het onderzoek naar het parallellenpostulaat. Twee onbekende wiskundigen kregen in de negentiende eeuw Opdracht Bedenk een reden waarom Gauss zijn werk op het gebied van de niet-Euclidische meetkunde niet heeft gepubliceerd. Er zijn twee varianten binnen de niet-Euclidische meetkunde. In het eerste geval, van en Bolyai, wordt het vijfde postulaat vervangen door het volgende postulaat:

71. Le Romain Des Mots-croisés. **Mathématiciens Translate this page BELLAVITIS (COMTE GIUSTO) NÉ, A, BASSANO (1803-1880) beltrami (eugenio) NÉ,A, CREMONE(1835-1900) BOMBELLI (RAFFAELE) NÉ, A, BORGO PANIGALE (1526-1572 http://www.mots-croisiste.com/19.html

Index général aéroport affluents Centrale nucléaire et hydroélectriques Chefs-Lieux Collines de Rome Communes Compositeurs Constellations Cyclades Déesses Dieux Divinités Écrivains Fleuves Côtier FLeuves des enfers Fleuves Historiens Homme d'état Homme Politiques Lacs Massifs Mathématiciens Noms Peintres Poètes Ports et Ports Fluviaux Rivières Sculteurs Théologiens Torrents Villes MATHEMATICIENS MATHEMATICIENS, ALLEMANDS. ARTIN (EMIL) NÉ, A, VIENNE (1898-1962) CANTOR (GEORG) NÉ, A, ST-PETERSBOURG (1845-1918) DEDEKIND (RICHARD) NÉ, A, BRUNSWICK (1831-1916) DIRICHLET (GUSTAV LEJEUNE) NÉ, A, DUREN(1805-1859) FUCHS (LAZARUS) NÉ, A, MOSCHIN (1833-1902) GAUSS (CARL FRIEDRICH) NÉ, A, BRUNSWICK) (1777-1855) GRASSMANN (HERMANN) NÉ, A, STETTIN (1809-1877) HAUSDORFF(FELIX) NÉ, A, BRESLAU (1868-1942) HILBERT (DAVID) NÉ, A, KONIGSBERG (1862-1943) JACOBI (CARL) NÉ, A, , POTSDAM (1804-1851) KLEIN (FELIX) NÉ, A, DUSSELDORF (1849-1925) KRONECKER (LEOPOLD) NÉ, A, LIEGNITZ (1823-1891) KUMMER (ERNST EDUARD ) NÉ, A, SORAU (1810-1893) LEIBNIZ (GOTTFRIED WILHELM) NÉ, A, LEIPZIG (1646-1716) LINDEMANN (FERDINAND VON ) NÉ, A, HANOVRE (1852-1939)

72. életrajzok: B beltrami, eugenio (1835. november 16.—1900. február 18.) olasz matematikus.A nemeuklideszi geometria elso modelljének megalkotója. http://www.iif.hu/~visontay/ponticulus/eletrajzok/b.html

rovatok j¡t©k arch­vum jegyzetek mutat³k kitekintő v©lem©nyek inform¡ci³k ©letrajzok magyar¡zatok forr¡sok BABBAGE, Charles (1792. december 26.—1871. okt³ber 18.): angol matematikus, k¶zgazd¡sz, feltal¡l³, sz¡m­t³g©ptervező. Cambridge-i professzor, Munk¡ss¡ga kiterjedt a f¼ggv©nyelm©let, a sz¡m­t¡stechnika ©s a k¶zgazdas¡gtan ter¼let©re. Neki jutott elősz¶r esz©be, hogy a Jacquard (1752—1834) ¡ltal feltal¡lt lyukk¡rty¡k nemcsak a sz¶vőg©pek, hanem a mechanikus sz¡mol³g©pek vez©rl©s©re is alkalmasak lehetnek. 1822-ben ©p­tette meg a csillag¡szati ©s haj³z¡si t¡bl¡zatok sz¡m­t¡s¡ra szolg¡l³ lyukk¡rtyavez©rl©sű mechanikus sz¡mol³g©p©t (Difference Engine=differenciag©p) . K¶vetkező, műveletsorok kisz¡m­t¡s¡ra is alkalmas programozhat³ g©pe (Analitical Engine=analiz¡l³g©p) a mai modern elektronikus sz¡m­t³g©pek elődj©nek tekinthető. BABITS Mih¡ly (1883—1941): k¶ltő, ­r³, műford­t³, essz©ista, az MTA tagja (1940). A Nyugat első nemzed©k©nek kiemelkedő k©pviselője, a k©t vil¡gh¡borº k¶z¶tti magyar polg¡ri irodalom egyik ir¡ny­t³ja. A Nyugat szerkesztője (1919—29-ben Osv¡t Ernővel, 1929—33-ban M³ricz Zsigmonddal, 1933-t³l hal¡l¡ig egyed¼l). 1927-től a Baumgarten-alap­tv¡ny irodalmi kur¡tora. M¡r fiatal l­rikusk©nt a klasszikus form¡k mestere. Rokonszenvezett az 1918—19-es forradalmi mozgalmakkal; a Tan¡csk¶zt¡rsas¡g megd¶nt©se ut¡n ez©rt t¡mad¡sok ©rt©k, melyekre mentegetőző tanulm¡nnyal felelt (

73. Verzeichnis | Mitglieder | Vorgängerakademien Translate this page BELOW, Georg Anton Hugo von, * 19.01.1858, † 20.10.1927. beltrami, eugenio,* 16.11.1835, † 18.02.1900. BELY (BEL), Matthias, * 24.03.1684, † 29.08.1749. http://www.bbaw.de/archivbbaw/akademiemitglieder/vorgaengermitglieder_b.html

Archiv der Berlin- Brandenburgischen Akademie der Wissenschaften BBAW Akademie Archiv Leiter/Abteilungsleiter ... Abt. Sammlungen Mitgliederverzeichnisse Mitglieder der BBAW Homepage der BBAW Verzeichnis B Portraitansichten A B C D ... W X Y Z Name, Vorname Lebenszeit -> siehe: BAER, Karl Ernst von BAETHGEN, Friedrich BAEUMKER, Clemens ... BAIARDI, Octavio Antonio * um 1690 BAILY, Francis BAJEW, Alexander Alexandrowitsch BALBIS, Giovanni Battista BALEWSKI, Angel Toncev ... BEAUX * 17. Jh. BECKE, Friedrich Johann Karl BECKER, Heinz Georg Otmar BECKER, Karl BECKER, Richard ... BEER (BEHR), Johann Heinrich gt. 31.05.1648 BEGER, Lorenz BEGUELIN, Nicolas de BEHRENS, Friedrich BEHRENS, Konrad Barthold ... BEKKER, Ernst Immanuel * um 1693 BELOW, Georg Anton Hugo von BELTRAMI, Eugenio BELY (BEL), Matthias BENECKE, Ernst Wilhelm ... BRANDES, Karl Philipp gt. 12.11.1720 BRANDI, Karl Maria Prosper Laurenz BRANDIS, Christian August BRANDL, Alois BRANDT, Johann Friedrich ... BUSSIUS, August Friedrich begr. 19.06.1727 BUTENANDT, Adolf Friedrich Johann BUTTMANN, Philipp Karl BUYS-BALLOT, Christoph Heinrich Dietrich BYWATER, Ingram

74. Loodus- Ja Täppisteadlaste Eluaastaid 18521908) (FRA füüsik) Bell, Alexander Graham (1847-1922) (ðoti päritolu USAteadlane) beltrami, eugenio (1835-1900) (ITA matemaatik) Benedetti, Giovanni http://www.physic.ut.ee/~janro/

A B C D ... Y A Abbe, Ernst Abbot, Charles Greeley Abel, Niels Henrik (1802-1829) (NOR matemaatik) Abelson, Philip Hauge Abraham, Max Abrikossov, Aleksei A. Adams, John Couch (1819-1892) (GBR astronoom) Aepinus, Franz Ulrich Theodor Agnesi, Maira Gaetana (1718-1799) (matemaatik) d'Alembert, Jean Baptiste Le Round (1717-1783) (FRA filosoof ja matemaatik) Amontons, Guillaume Ampére, André Marie Anaxagoras Anaximandros Anaximenes Apollonios, Pergest (~260-~170 e.m.a.) (kreeka matemaatik) Arago, Dominique Francois Aragon Armand Archimedes Aristarchos (320-250 e.m.a.) Aristoteles Arzela, Cesare (1847-1912) (matemaatik) Tagasi algusesse / Up B Babinet, Jacques Bacon, Roger (1214-1294) (inglise filosoof ja looduseuurija) Baire, Louis René (1874-1932) (matemaatik) Banach, Stefan (1892-1945) (POL matemaatik) Barrow, Isaac Bartels, Johann Martin Christian (1769-1836) (matemaatik) Bartholinus, Erasmus (1625-1698) (DEN loodusteadlane) Bateman, Harry (1882-1946) (matemaatik) Bayes, Thomas (1702-1761) (GBR matemaatik) Becquerel, Antoine Henri Bell, Alexander Graham

75. Titolo Pagina Translate this page beltrami PAOLO Soliera MO beltrami STEFANO Mesola Bosco FE beltrami VINCENZO Mesola BEMASCONILUIGI Nemi RO BENA ANTONIO Trescore BG BENA eugenio Chivasso TO http://www.albodoroitalia.it/sacrario/page13.html

Albo d'Oro Italia Becchi - Benevelli INDIETRO AVANTI BECCHI CESARE Borgo San Lorenzo FI BECCHI ELIA Bagnolo in Piano RE BECCHI LUIGI Stagno Lombardo CR BECCHI PIETRO Graffignana LO BECCHIO GIACOMO Carmagnola TO BECCHIO PIETRO Carmagnola TO BECHAZ GIOVANNI Challand Saint Anselme AO BECILLI ADOLFO Codogno LO BEDESCHI ARISTIDE Irreperibili Reggio Emilia RE BEDESCHI ERNESTO disperso Reggio Emilia RE BEDESCHI FRANCESCO Russi RA BEDESCHI GIUSEPPE Reggio Emilia RE BEDIN AGOSTINO Arcugnano VI BEDIN ANTONIO Altavilla vicentina VI BEDIN FELICE Altavilla vicentina VI BEDIN GIOVANNI FU PAOLO Brendola VI BEDIN LUIGI DI ABELE Brendola VI BEDIN SEBASTIANO DI ISIDORO Brendola VI BEDINI CESARE Bagnolo in Piano RE BEDOCCHI ALBERTO Bagnolo in Piano RE BEDOCCHI GIUSEPPE Reggio Emilia RE BEDOGNI ADELMO Reggio Emilia RE BEDOGNI ALFREDO Canali Reggio Emilia RE BEDOGNI ETTORE Irreperibili Reggio Emilia RE BEDOGNI GERMANO Reggio Emilia RE BEDOLIS ELIA Dossena BG BEDOLIS GIOVANNI Dossena BG BEDUZ AGOSTINO Fontanafredda PN BEDUZ FELICE Fontanafredda PN BEGALLA VINCENZO Vistrorio TO BEGGI PIETRO Reggio Emilia RE BEGGIATO GIOBATTA Pressana VR "BEGGIATO SANTE; Quinto Vicentino VI"

76. Dischi Eugenio - Lista Autori PAOLO BELLUZZI STEFANO BELLY BELOVED beltrami A. beltrami ALBERTO beltrami W. BELVISO IDISCORSI BENJOR JORGE BENNATO EDOARDO BENNATO eugenio BENNATO NANNINI E http://netfinity.qnet.it/dischieugenio/autori.php3

LISTA COMPLETA DEGLI AUTORI 10 YEARS AFTER 10.000 MANIACS 1000 CLOWNS 116 TAMBOURINES ... Credits

77. The Mathematics Genealogy Project - Index Of BEL beltrami, Edward, Adelphi University, 1962. beltrami, eugenio, Universityof Pavia, 1856. beltrami, Elisabetta, Università di Pisa, 1998. http://genealogy.impa.br/html/letter.phtml?letter=BEL

78. Non-Euclidean Geometries, Models came in 1868 with the publication of Saggio di interpretazoine della geometrianon euclidea by the Italian mathematician eugenio beltrami (18351900). http://www.cut-the-knot.org/triangle/pythpar/Model.shtml

CTK Exchange Front Page Movie shortcuts Personal info ... Recommend this site Non-Euclidean Geometries As Good As Might Be In 1823, Janos Bolyai wrote to his father: "Out of nothing I have created a new universe." By which he meant that starting from the first 4 of Euclid's postulates and a modified fifth, he developed an expansive theory that, although quite unusual, did not seem to lead to any logical contradiction. Gauss expressed his conviction in consistency of the theory he had in mind in a letter in 1824. However, hesitant of the public reaction to the idea that, by the side of Euclidean, there is another geometry, he never published anything on the subject. From our perspective, the situation was exactly the same as with Euclidean geometry. Euclid built an axiomatic theory by deriving a lot of theorems from his five postulates. No one had ever proved that continuing in Euclid's footstep would not lead to a contradiction. However, a 2000 year history elevated Elements on a pedestal of infallibility. Kant even stipulated that the universe had been built according to Euclid. Lobachevsky was quite aware of the problem and in later publications tried without success to redefine the notions of line and plane. A breakthrough came in 1868 with the publication of Saggio di interpretazoine della geometria non euclidea by the Italian mathematician Eugenio Beltrami (1835-1900). Beltrami discovered that Lobachevsky's geometry admits an interpretation in terms of Euclidean geometry. From here it follows that if Lobachevsky's geometry leads to a contradiction, Euclidean geometry is as well contradictory. In other words, consistency of Euclidean geometry implies consistency of the geometry of Lobachevsky. The construction is now known as Beltrami-Klein model of Lobachevsky geometry. Sometimes it's called the

79. DIEPER - DIgitised European PERiodicals Translate this page Hauptsätze .. 10. beltrami, eugenio, Opere Matematiche ..19. Blau, Ernste Die Mechanik fester Körper .. http://dieper.aib.uni-linz.ac.at/cgi-bin/project2/showalltext.pl?PE_ID=2&VO_ID=1

80. Suche Nach Personen Translate this page 1929 Bell, Physik Ann Arbor 1922 Bell, Physiker Manchester 1933 Bellini, E.Bellini, Jacopo Giovanni (1430-1516) beltrami, eugenio (1835-1900) Bender, http://www.lrz-muenchen.de/~Sommerfeld/PersDat/B.html

Suche nach Personen A B C D ... Z B B., [Major] Ba Yin Baade, Walter (1893-1960) Babbage, Charles (1792-1871) ... Institutionen

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