21. Mathematicians L Both Newton and Leibnitz had Big Hair. lobachevsky nikolai Ivanovich Nikolai Lobachevsky (17921856) was a Russian mathematician who published the http://www.mlahanas.de/Stamps/Data/Mathematician/L.htm

Mathematician Stamps L Lagrange Joseph Louis (1736-1813) Biography Joseph-Louis Lagrange (1736-1813) worked in analysis, number theory, and celestial mechanics. He succeeded Euler at the Academy of Science in Berlin, but then moved on to the Paris Academy of Science. He was a co-founder of the Ecole Polytechnique, where he taught analysis. His major work is Mecanique analytique , applying analytical methods to the subject of mechanics. He didn't like illustrations in his publications Stamp France 1958 Lakanal Biography Laplace Pierre Simon Born: 23 March 1749 in Beaumont-en-Auge, Normandy, France Died: 5 March 1827 in Paris, France Biography Lavrentev Mikhail Alekseevich Born: 19 Nov 1900 in Kazan, Russia Died: 15 Oct 1980 in Moscow, Russia Lavrentev is remembered for an outstanding book on conformal mappings and he made many important contributions to that topic. In the 1940s he developed the theory of quasi-conformal mappings which gave a new geometrical approach to partial differential equations. One of the major areas to which he applied this work was to hydrodynamics. The 1940s was a period of industrialization and construction and, after 1945, Lavrentev founded new areas of research in mechanics and applied physics which were aimed at laying the theoretical foundation necessary for the large construction projects of building dams, canals and bridges on the Volga, Dnieper and Don rivers.He also applied the theory of complex variables to other topics, in particular to non-linear waves. Other topics where he made substantial contributions where the theory of sets, the general theory of functions, and the theory of differential equations.

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Enter a word or phrase Random Word Other Services Word Index Contact Us About ... Links nikolai ivanovich lobachevsky listen domain availability Dictionary and Thesaurus entries for: nikolai ivanovich lobachevsky Your search results... Web bluerider.com nikolai ivanovich lobachevsky [n] Russian mathematician who independently discovered non-Euclidean geometry (1792-1856) Synonyms : lobachevsky See Also: mathematician Your Search History clear Enter a word or phrase Terms of Service Linux Man Pages Geographic Information ccTLD Information

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24. Nikolai Ivanovich Lobachevsky - Wikipédia Translate this page Nikolai Ivanovich Lobachevsky (1 de Dezembro, 1792 - 24 de Fevereiro 1856) foium matemático russo, que trabalho em álgebra, nomeadamente nas aproximações http://pt.wikipedia.org/wiki/Nikolai_Ivanovich_Lobachevsky

A Wikimedia precisa da sua ajuda na campanha para angariar US$ 200.000 (€164.591). Consulte a p¡gina de doa§µes Conseguimos! Foi arrecadado mais de US$220.000. Obrigado pela sua generosidade! Nikolai Ivanovich Lobachevsky Origem: Wikip©dia, a enciclop©dia livre. Nikolai Ivanovich Lobachevsky 1 de Dezembro 24 de Fevereiro ) foi um matem¡tico russo, que trabalho em ¡lgebra , nomeadamente nas aproxima§µes num©ricas  s ra­zes das equa§µes alg©bricas. Este artigo © m­nimo . Um artigo m­nimo © um artigo muito pequeno, provavelmente contendo uma frase apenas. Vocª pode ajudar a Wikip©dia expandindo-o Retirado de " http://pt.wikipedia.org/wiki/Nikolai_Ivanovich_Lobachevsky Categorias de p¡ginas !Artigos m­nimos Matem¡ticos ... Russos Vistas Artigo Discuss£o Editar Hist³ria Ferramentas pessoais Navega§£o P¡gina principal Portal comunit¡rio Eventos atuais Mudan§as recentes ... Donativos Busca Ferramentas Artigos afluentes Novidades relacionadas Carregar arquivo P¡ginas especiais ... Enlace permanente Outras l­nguas Deutsch English Esperanto Espa±ol ... Tatar§a Esta p¡gina foi modificada pela ºltima vez em 19:32, 25 Agosto 2005. O texto desta p¡gina est¡ sob a GNU Free Documentation License Os direitos autorais de todas as contribui§µes para a Wikip©dia pertencem aos seus respectivos autores (mais informa§µes em direitos autorais Sobre a Wikip©dia Avisos gerais

25. Nikolai Ivanovich Lobachevsky Nikolai Ivanovich Lobachevsky. Nikolai Ivanovich Lobachevsky (December 1 1792 February 24 1856) was a Russian mathematician. http://www.fact-index.com/n/ni/nikolai_ivanovich_lobachevsky.html

Main Page See live article Alphabetical index Nikolai Ivanovich Lobachevsky Nikolai Ivanovich Lobachevsky December 1 February 24 ) was a Russian mathematician Lobachevskii was born in Nizhny Novgorod Russia . His father Ivan Maksimovich Lobachevskii, worked as a clerk in an office which was involved in land surveying while Nikolai Ivanovich's mother was Praskovia Alexandrovna Lobachevskaya. Nikolai Ivanovich was one of three sons in this poor family. When Nikolai Ivanovich was seven years of age his father died and, in , his mother moved with her three sons to the city of Kazan in western Russia on the edge of Siberia . There the boys attended Kazan Gymnasium, financed by government scholarships, with Nikolai Ivanovich entering the school in In Lobachevskii graduated from the Gymnasium and entered the University of Kazan as a free student. Kazan State University had been founded in , the result of one of the many reforms of the emperor Alexander I , and it opened in the following year, only two years before Lobachevskii began his undergraduate career. His original intention was to study medicine but he changed to study a broad scientific course involving mathematics and physics In the first years the atmosphere in the Department was quite favourable. The students were full of enthusiasm. They studied day and night to compensate for lack of knowledge. The professors, mainly invited from

26. Encyclopedia: Hyperbolic Geometry Nikolay Ivanovich lobachevsky nikolai Ivanovich Lobachevsky (´? ?´?´?) (December 1, 1792 February 24, 1856) was a Russian http://www.nationmaster.com/encyclopedia/Hyperbolic-geometry

Supporter Benefits Signup Login Sources ... Pies Related Articles People who viewed "Hyperbolic geometry" also viewed: Hyperbolic space Non_Euclidean geometry Kleinian model Fuchsian model ... Model What's new? Our next offering Latest newsletter Student area Lesson plans Recent Updates Boeing 747 Bodas de sangre Black Leadership Forum Birthday ... More Recent Articles Top Graphs Richest Most Murderous Most Taxed Most Populous ... More Stats Encyclopedia: Hyperbolic geometry Updated 11 hours 44 minutes ago. Other descriptions of Hyperbolic geometry A triangle immersed in a saddle-shape plane, as well as two diverging parallel lines. Hyperbolic geometry , also called saddle geometry or Lobachevskian geometry , is the non-Euclidean geometry obtained by replacing the parallel postulate with the hyperbolic postulate , which states: "Given a line L and any point A not on L , at least two distinct lines exist which pass through A and are parallel to L ." In this case parallel means that the lines do not intersect L , even when extended, rather than that they are a constant distance from L This image needs to be cleaned up to conform to a higher standard of quality. ...

27. Nikolai Ivanovich Lobachevsky - Wikipedia Translate this page Nikolai Ivanovich Lobachevsky (´? ?´? ´?) (1 de diciembrede 1792 - 24 de febrero de 1856) fue un matemático ruso de finales del siglo http://es.wikipedia.org/wiki/Nikolai_Ivanovich_Lobachevsky

Wikimedia necesita de tu ayuda en su campa±a para recolectar USD$ 200.000 . V©ase nuestra p¡gina de recolecci³n de fondos para m¡s detalles. Nikolai Ivanovich Lobachevsky De Wikipedia, la enciclopedia libre. Nikolai Ivanovich Lobachevsky 1 de diciembre de 24 de febrero de ) fue un matem¡tico ruso de finales del siglo XIX Entre sus principales logros se encuentran la demostraci³n de varias conjeturas relacionadas con el c¡lculo tensorial aplicados a vectores en el espacio de Hilbert Fue uno de los primeros en aplicar un tratamiento cr­tico a los postulados fundamentales de la geometr­a eucl­dea. Naci³ en Nizni N³vgorod y estudi³ en la Universidad de Kaz¡n. Ense±³ en Kaz¡n desde 1812 hasta 1846, llegando a ser profesor de matem¡ticas en 1823. Con independencia del hºngaro J¡nos Bolyai y del alem¡n Carl Gauss, Lobachevski descubri³ un sistema de geometr­a no eucl­dea. Entre sus obras destacan Sobre los principios de la geometr­a (1829) y Geometr­a imaginaria (1835). Obtenido de " http://es.wikipedia.org/wiki/Nikolai_Ivanovich_Lobachevsky

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29. Lobachevsky Biography of nikolai Ivanovich lobachevsky (17921856) nikolai Ivanovichlobachevsky s father Ivan Maksimovich lobachevsky, worked as a clerk in an http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Lobachevsky.html

Nikolai Ivanovich Lobachevsky Born: 1 Dec 1792 in Nizhny Novgorod (was Gorky from 1932-1990), Russia Died: 24 Feb 1856 in Kazan, Russia Click the picture above to see five larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Version for printing Nikolai Ivanovich Lobachevsky 's father Ivan Maksimovich Lobachevsky, worked as a clerk in an office which was involved in land surveying while Nikolai Ivanovich's mother was Praskovia Alexandrovna Lobachevskaya. Nikolai Ivanovich was one of three sons in this poor family. When Nikolai Ivanovich was seven years of age his father died and, in 1800, his mother moved with her three sons to the city of Kazan in western Russia on the edge of Siberia. There the boys attended Kazan Gymnasium , financed by government scholarships, with Nikolai Ivanovich entering the school in 1802. In 1807 Lobachevsky graduated from the Gymnasium and entered Kazan University as a free student. Kazan State University had been founded in 1804, the result of one of the many reforms of the emperor Alexander I, and it opened in the following year, only two years before Lobachevsky began his undergraduate career. His original intention was to study medicine but he changed to study a broad scientific course involving mathematics and physics. Vinberg writes [44]:- In the first years the atmosphere in the Department was quite favourable. The students were full of enthusiasm. They studied day and night to compensate for lack of knowledge. The professors, mainly invited from Germany, turned out to be excellent teachers, which was not common. Lobachevsky was highly successful in all courses he took ...

30. References For Lobachevsky References for the biography of nikolai Ivanovich lobachevsky. BL Laptev,nikolai Ivanovich Lobachevskii, in Great Soviet Encyclopedia 14 (New York, http://www-groups.dcs.st-and.ac.uk/~history/Printref/Lobachevsky.html

References for Nikolai Ivanovich Lobachevsky Biography in Dictionary of Scientific Biography (New York 1970-1990). Biography in Encyclopaedia Britannica. Books: R Bonola, Non-Euclidean Geometry F Engel, N I Lobatschewskij: Zwei geometrische Abhandlungen (1898-99) (2 volumes). B V Fedorenko, New documents for the biography of N I Lobachevskii (Russian) (Leningrad, 1988). D A Gudkov, N I Lobachevskii, Biography puzzles (Nizhnii Novgorod, 1992). V F Kagan, Lobachevsky (Moscow- Leningrad, 1948). A G Karimullin and B L Laptev, What N I Lobachevskii read : A list of the books and journals lent to N I Lobachevskii by Kazan University Library (Russian), (Kazan, 1979). G Kasdorf, Lobachevskii, in H Wussing and W Arnold, Biographien bedeutender Mathematiker (Berlin, 1983). T I Kovaleva and N F Filatov, N I Lobachevskii and the Nizhegorod region at the turn of the 18th-19th centuries (Russian) (Nizhnii Novgorod, 1992). A V Vasilev, Nikolai Ivanovich Lobachevskii : 1792-1856 "Nauka'' (Moscow, 1992). Articles: 12.2.1981-125 : Todestag von Nikolai Iwanowitsch Lobatschewski

31. János Bolyai: Information From Answers.com List of mathematical topics (J), lobachevsky, nikolai Ivanovich (Russianmathematician). Bolyai (crater), culture of Hungary List of Christian scientists http://www.answers.com/topic/j-nos-bolyai

showHide_TellMeAbout2('false'); Business Entertainment Games Health ... More... On this page: Encyclopedia Wikipedia Mentioned In Or search: - The Web - Images - News - Blogs - Shopping J¡nos Bolyai Encyclopedia Bolyai bō lyoi ) , family of Hungarian mathematicians. The father, Farkas, or Wolfgang, Bolyai, 1775–1856, b. Bolya, Transylvania, was educated in Nagyszeben from 1781 to 1796 and studied in Germany during the next three years at Jena and G¶ttingen, where he began a lifelong friendship with Carl F. Gauss. From 1804 to 1853 he was professor of mathematics at Maros V¡s¡rhely. His primary interest was in the Euclidean parallel postulate. His principal work, the Tentamen (1832–33), inspired by his mathematically gifted son J¡nos, is an attempt at a rigorous and systematic foundation of geometry (Vol. I) and of arithmetic, algebra, and analysis (Vol. II). J¡nos, or Johann, Bolyai, 1802–60, b. Koloszv¡r, Transylvania, was educated by his father in Maros V¡s¡rhely and from 1818 to 1822 in Vienna, where he received military training at the imperial engineering academy. In 1820 he began to work in a direction that ultimately led him to a non-Euclidean geometry. In 1823, after vain attempts to prove the Euclidean parallel postulate, he developed his system by assuming that a geometry could be constructed without the parallel postulate. His theory of absolute space was published as an appendix to his father's Tentamen and constituted the sole work published in his lifetime.

32. Nikolai Ivanovich Lobachevsky lobachevsky, nikolai Ivanovich, nyikuli evä nuvich lubuchef ske PronunciationKey. lobachevsky, nikolai Ivanovich , 1793–1856, Russian mathematician. http://www.factmonster.com/ce6/people/A0830085.html

Home U.S. People Word Wise ... Homework Center Fact Monster Favorites 2006 TFK Almanac Quiz: Charlie and the Chocolate Factory SpongeBob Lemony Snicket ... Fantasy Books Reference Desk Atlas Almanacs Dictionary Encyclopedia ... Encyclopedia Lobachevsky, Nikolai Ivanovich [nyik u u vich l u b u Pronunciation Key Lobachevsky, Nikolai Ivanovich Geometrical Researches on the Theory of Parallels (originally pub. 1840 in German; tr. 1891, 1914), and a statement of his completed work, (issued 1855 in Russian and French). A graduate of the Univ. of Kazan, he remained there as teacher (1812), professor (1816), and rector (1827). Despite his efficient and devoted service, in 1846 he was relieved by the government of his posts of professor and rector. The Columbia Electronic Encyclopedia, Page Tools: Cite Print See more Encyclopedia articles on: Mathematics: Biographies AD AD AD ADS Business Cards Link to Fact Monster Add Fact Monster search ... Privacy Brought to you by: Information Please

33. Bolyai nikolai Ivanovich lobachevsky lobachevsky, nikolai Ivanovich , 1793–1856,Russian mathematician. A pioneer in non-Euclidean geometry Types of http://www.factmonster.com/ce6/people/A0808201.html

Home U.S. People Word Wise ... Homework Center Fact Monster Favorites 2006 TFK Almanac Quiz: Charlie and the Chocolate Factory SpongeBob Lemony Snicket ... Fantasy Books Reference Desk Atlas Almanacs Dictionary Encyclopedia ... Encyclopedia Bolyai Pronunciation Key Bolyai , family of Hungarian mathematicians. The father, Farkas, or Wolfgang, Bolyai, Tentamen or Johann, Bolyai, Tentamen and constituted the sole work published in his lifetime. The Columbia Electronic Encyclopedia, Page Tools: Cite Print More on Bolyai from Fact Monster: non-Euclidean geometry - non-Euclidean geometry, branch of geometry in which the fifth postulate of Euclidean geometry, ... Nikolai Ivanovich Lobachevsky geometry: Types of Geometry - Types of Geometry Euclidean geometry, elementary geometry of two and three dimensions (plane and ... Euclid, Greek mathematician - Euclid , fl. 300 B.C., Greek mathematician. Little is known of his life other than the fact that he ... Carl Friedrich Gauss See more Encyclopedia articles on: Mathematics: Biographies AD AD AD ADS Business Cards Link to Fact Monster Add Fact Monster search ... Privacy Brought to you by: Information Please

34. Nikolai Ivanovich Lobachevsky lobachevsky, nikolai Ivanovich (17921856) (The Hutchinson Dictionary of ScientificBiography). nikolai Ivanovich lobachevsky (The Hutchinson Encyclopedia) http://www.infoplease.com/ce6/people/A0830085.html

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35. Non-Euclidean Geometry: Hyperbolic Geometry lobachevsky, nikolai Ivanovich (The Columbia Encyclopedia, Sixth Edition).Search HighBeam Research for. Additional search results provided by HighBeam http://www.infoplease.com/ce6/sci/A0860015.html

in All Infoplease Almanacs Biographies Dictionary Encyclopedia Daily Almanac for Sep 6, 2005 Skip Navigation Home Almanacs ... Word of the Day Editor's Favorites Back to School Hurricanes Daylight Saving Time Energy Consumption ... Mississippi Infoplease Tools Periodic Table Conversion Tool Perpetual Calendar Year by Year ... Site Map College Center Scholarship Search College Resources Career Center Job Search Post Your Resume Continuing Ed. more . . . Search: Infoplease Info search tips Search: Biographies Bio search tips google_ad_client = 'pub-1894504138907931'; google_ad_width = 120; google_ad_height = 240; google_ad_format = '120x240_as'; google_ad_type = 'text'; google_ad_channel =''; google_color_border = ['336699','B4D0DC','DFF2FD','B0E0E6']; google_color_bg = ['FFFFFF','ECF8FF','DFF2FD','FFFFFF']; google_color_link = ['0000FF','0000CC','0000CC','000000']; google_color_url = ['008000','008000','008000','336699']; google_color_text = ['000000','6F6F6F','000000','333333']; Encyclopedia non-Euclidean geometry Hyperbolic Geometry In hyperbolic geometry the two rays extending out in either direction from a point P and not meeting a line L are considered distinct parallels to L Sections in this article: Introduction Hyperbolic Geometry Elliptic Geometry Non-Euclidean Geometry and Curved Space Bibliography The Columbia Electronic Encyclopedia

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38. Lobachevsky, Nikolai Ivanovich (1793-1856) lobachevsky, nikolai Ivanovich (17931856) lobachevsky first announced hissystem in 1826 and subsequently wrote several expositions of it, http://www.daviddarling.info/encyclopedia/L/Lobachevsky.html

Return to The Worlds of David Darling INDEX LATEST NEWS ARCHIVE ... Z entire Web this site Lobachevsky, Nikolai Ivanovich (1793-1856) A Russian mathematician who was one of the pioneers of non-Euclidean geometry . He developed, independently of János Bolyai , the self-consistent system of hyperbolic geometry in which Euclid's parallel postulate is replaced by one allowing more than one parallel through the fixed point. Lobachevsky first announced his system in 1826 and subsequently wrote several expositions of it, including Geometrical Researches on the Theory of Parallels (originally published in 1840 in German). Lobachevsky studied and taught at the new University of Kazan and eventually became rector of this institution in 1826. However, for some reason, despite serving his country and university well, he fell from favor and in 1846 was relieved by the government of his posts as professor and rector. BACK TO TOP var site="s13space1234"

39. Universal Book Of Mathematics: List Of Entries lobachevsky, nikolai Ivanovich (17931856) localized solution loculus of Archimedeslocus logarithm logarithmic spiral logic logical depth http://www.daviddarling.info/works/Mathematics/mathematics_entries.html

WORLDS OF DAVID DARLING ENCYCLOPEDIA NEWS ARCHIVE ... E-MAIL THE UNIVERSAL BOOK OF MATHEMATICS From Abracadabra to Zeno's Paradoxes More details on the book Alphabetical List of Entries abacus Abbott, Edwin Abbott (1838-1926) ABC conjecture Abel, Niels Henrik (1802-1829) Abelian group abracadabra abscissa absolute absolute value absolute zero abstract algebra Abu’l Wafa (A.D. 940-998) abundant number Achilles and the Tortoise paradox. See Zeno's paradoxes Ackermann function acre acute adjacent affine geometry age puzzles and tricks Agnesi, Maria Gaetana (1718-1799) Ahmes papyrus. See Rhind papyrus Ahrens, Wilhelm Ernst Martin Georg (1872-1927) Alcuin (735-804) aleph Alexander’s horned sphere algebra algebraic curve algebraic fallacies algebraic geometry algebraic number algebraic number theory algebraic topology algorithm algorithmic complexity Alhambra aliquot part al-Khowarizmi (c.780-850) Allais paradox almost perfect number alphamagic square alphametic Altekruse puzzle alternate altitude ambiguous figure ambiguous connectivity.

40. Lobachevsky, Nikolai Ivanovich lobachevsky, nikolai Ivanovich (17921856) lobachevsky published the firstaccount of the subject in 1829, but his work went unrecognized until Georg http://www.cartage.org.lb/en/themes/Biographies/MainBiographies/L/Lobachevsky/1.

Lobachevsky, Nikolai Ivanovich In Euclid's system, two parallel lines will remain equidistant from each other, whereas in Lobachevskian geometry, the two lines will approach zero in one direction and infinity in the other. In Euclidean geometry the sum of the angles of a triangle is always equal to the sum of two right angles; in Lobachevskian geometry, the sum of the angles is always less than the sum of two right angles. In Lobachevskian space, also, two geometric figures cannot have the same shape but different sizes. Lobachevsky was born at Nizhni-Novgorod and studied at the University of Kazan, Tatarstan. He taught there from 1814, becoming professor 1822 and rector of the university 1827-47. He also took on administrative work for the government. Lobachevsky developed non-Euclidean geometry between 1826 and 1856. He came to see that it was not contradictory to speak of a geometry in which all Euclid's postulates except the fifth held true. By including imaginary numbers, he made geometry more general, and Euclid's geometry took on the appearance of a special case of a wider system.

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