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	Nikolai Ivanovich Lobachevsky Summary
		Lobachevsky was born on December 1, 1792, in Nizhny Novgorod (known as Gorky from 1932 to 1990), Russia.
		Lobachevsky's father died when he was about six or seven, depending on the source, and his mother took him and his two brothers, Alexander and Alexei, to Kazan where he spent the rest of his life.
		Lobachevsky was able to turn the university around, reestablishing it as a place of high academic standards and a collegial environment.
	www.bookrags.com /Nikolai_Ivanovich_Lobachevsky (2023 words)

	Lobachevsky, Nikolai Ivanovich (1793-1856)
		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.
	www.daviddarling.info /encyclopedia/L/Lobachevsky.html (178 words)

	Nikolai Ivanovich Lobachevsky
		Nikolai Ivanovich Lobachevsky (December 1, 1792 - February 24, 1856) was a Russian mathematician.
		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.
	www.ebroadcast.com.au /lookup/encyclopedia/ni/Nikolai_Ivanovich_Lobachevsky.html (1537 words)

	Lobachevsky biography
		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.
		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.
		Lobachevsky was an impractical manager who jeopardised his financial position by purchasing the estate while living on a pension; that he had no time to look after the estate and took little interest in it; that he was left in poverty and ignored by the local officials, etc.
	www-groups.dcs.st-and.ac.uk /~history/Biographies/Lobachevsky.html (2189 words)

	Nikolai Ivanovich Lobachevsky
		Lobachevsky would instead develop a geometry in which the fifth postulate was not true.
		Another of Lobachevsky's achievements was developing a method for the numerical approximation of the roots of algebraic equations.
		Lobachevsky gave the definition of a function as a correspondence between two sets of real numbers (Dirichlet gave the same definition independently soon after Lobachevsky).
	www.brainyencyclopedia.com /encyclopedia/n/ni/nikolai_ivanovich_lobachevsky.html (435 words)

	Nikolai Ivanovich Lobachevsky (Site not responding. Last check: )
		In Kazan, Nikolai Ivanovich Lobachevsky attended Kazan Gymnasium, graduating in 1807 and then Kazan University which was founded just three years earlier, in 1804.
		Another of Lobachevsky's achievements was developing a method for the numerical approximation of the rootss of algebraic equations.
		Lobachevsky gave the definition of a function as a correspondence between two sets of real numbers (Dirichlet gave the same definition independently soon after Lobachevsky).
	www.casimiro.com /wiki/en/wikipedia/n/ni/nikolai_ivanovich_lobachevsky.html (319 words)

	lobachevsky
		As soon as he finished his Masters Degree, Nikolai became a lecturer at the same university where he studied and few years later he became a professor.
		At the age of 35, Lobachevsky became a rector of the university, and while at this position, the University of Kazan aparently flourished.
		Nikolai Lobachevsky is most famous for his work on non-Euclidean Geometry.
	www.mathsisgoodforyou.com /people/lobachevsky.htm (147 words)

	Lobachevsky biography
		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.
		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.
		Lobachevsky was an impractical manager who jeopardised his financial position by purchasing the estate while living on a pension; that he had no time to look after the estate and took little interest in it; that he was left in poverty and ignored by the local officials, etc.
	www-history.mcs.st-andrews.ac.uk /Biographies/Lobachevsky.html (2189 words)

	Nikolai Lobachevsky (1792-1856) (Site not responding. Last check: )
		Lobachevsky studeerde in 1811 af, werd in 1814 zelf docent aan de Kazan Universiteit en in 1822 benoemd als professor.
		Lobachevsky is vooral bekend vanwege zijn prestaties op het gebied van de niet-Euclidische meetkunde.
		Hij ontwikkelde een meetkunde waarin het vijfde postulaat van Euclides niet van toepassing was, en deed dat in een tijd waarin andere wiskundigen juist bezig waren dit vijfde postulaat af te leiden uit de eerste vier postulaten.
	www.dinx.nl /euclid/lobachevsky.html (316 words)

	The 175th Anniversary of the Birth of N.I. Lobachevsky \| Commemorative and Investment Coins database \|Bank of Russia
		Nikolai Ivanovich Lobachevsky (1792-1856), a Russian mathematician, is known as the creator of non-Euclidean geometry.
		Lobachevsky's discovery (made in 1826 and published in 1829-1830), ignored by his contemporaries, was a breakthrough in the understanding of the nature of space, which for more than 2000 years had been based on Euclid's assumptions, and had a tremendous impact on the development of mathematical thinking.
		Lobachevsky wrote works on algebra, mathematical analysis, the calculus of probabilities, mechanics, physics and astronomy.
	www.cbr.ru /eng/bank-notes_coins/base_of_memorable_coins/coins.asp?cat_num=5009-0005 (241 words)

	Spartanburg SC \| GoUpstate.com \| Spartanburg Herald-Journal (Site not responding. Last check: )
		At Kazan University, Lobachevsky was influenced by professor Johann Christian Martin Bartels (1769–1833), a former teacher and friend of German mathematician Carl Friedrich Gauss.
		Lobachevsky wrote a paper about it called A concise outline of the foundations of geometry that was published by the Kazan Messenger but was rejected when the St. Petersburg Academy of Sciences submitted it for publication.
		Lobachevsky replaced Euclid's parallel postulate with the postulate that there is more than one parallel line through any given point; a famous consequence is that the sum of angles in a triangle must be less than 180 degrees.
	www.goupstate.com /apps/pbcs.dll/section?category=NEWS&template=wiki&text=Nikolai_Ivanovich_Lobachevsky (735 words)

	test (Site not responding. Last check: )
		Lobachevsky was born to a poor family in Kazan in Russia.
		Lobachevsky was rector for almost 20 years, during which time the University went from strength to strength, both in its faculties and its student numbers.
		Lobachevsky’s work on geometry had really important implications for modern geometry - he along with Gauss can be said to be one of the discoverers of non-Euclidean geometry.
	www.mathsyear2000.org /timeline/test-mathinfo.php?m=nikolai-ivanovich-lobachevsky (844 words)

	Lobachevsky (Site not responding. Last check: )
		Nikolay Ivanovich Lobachevsky was the first mathematician to publish an account of non-Euclidean geometry.
		Though Lobachevsky did not receive a great deal of recognition, he is one of the fathers of non-Euclidean geometry.
		He is accused of pleagarism as is shown in the poem, "Nikolai Ivanovich Lobachevsky".
	members.tripod.com /~noneuclidean/lobachevsky.html (210 words)

	Nikolai Ivanovich Lobachevsky - Definition, explanation
		At Kazan University, Lobachevsky was influenced by professor Martin Bartels (1769 - 1833), a friend of Carl Friedrich Gauss.
		Another of Lobachevsky's achievements was developing a method for the numerical approximation of the rootss of algebraic equations.
		In Poul Anderson's novella "Operation Changeling" (F&SF;, 1969; Operation Chaos, 1971), a group of sorcerers navigate a non-Euclidean universe with the assistance of the ghosts of Lobachevsky and Bolyai.
	www.calsky.com /lexikon/en/txt/n/ni/nikolai_ivanovich_lobachevsky.php (369 words)

	BIOGRAFIA LOBACHEVSKY
		Lobachevsky tuvo un éxito notable en todos los cursos en los que participó.
		Lobachevsky recibió su licenciatura en Física y Matemáticas en 1811.
		...Lobachevsky era un gerente poco práctico que puso en peligro su situación financiera por la compra de una finca mientras vivía de una pensión; sin preocuparse ni interesarse por ella, terminando en la pobreza e ignorado por las autoridades locales....
	www.lobachevsky.com /biografia.htm (2235 words)

	Nikolai Ivanovich Lobachevsky - Encyclopedia.com
		Lobachevsky first announced his system in 1826; he subsequently wrote several expositions of it, including Geometrical Researches on the Theory of Parallels (originally pub.
		playwright, 1763; Immanuel Kant, philosopher, 1804; Nikolai Ivanovich Lobachevsky, mathematician, 1856; Lillie Langtry (Emily Charlotte...
		Henry Spencer Churchill, politician, 1849; Feodor Ivanovich Chaliapin (Shalyapin), operatic bass singer...
	www.encyclopedia.com /doc/1E1-Lobachev.html (277 words)

	Nikolai Ivanovich Lobachevsky (Site not responding. Last check: )
		Nikolai Lobachevsky's father died when he was 7 years old.
		In 1814 he was appointed to a lectureship, in 1816 he became an extraordinary professor, and in 1822 he was appointed as a full professor.
		Despite this heavy administrative load, Lobachevsky continued to teach a variety of different topics such as mechanics, hydrodynamics, integration, differential equations, the calculus of variations, and mathematical physics.
	www.stetson.edu /~efriedma/periodictable/html/Yb.html (372 words)

	History of Science Society \| HSSOnline.org
		Lobachevsky and His Contribution to Science (Moscow: Foreign Languages Publishing House, 1957) is perhaps the source most often cited, but it is clearly inadequate.
		The best source on the circumstances of the creation of Lobachevskii geometry is a senior thesis by Gregory Crowe, "The Life and Work of Nikolai Ivanovich Lobachevsky: A Study of the Factors Leading to the Discovery and Acceptance of the First Non-Euclidean Geometry" (Harvard Univ., 1986).
		Biographical material is also available on Nikolai Luzin, a founder of the twentieth-century "Moscow School" of mathematics, in two articles: Esther Luzin R. Phillips, "Nicolai Nicolaevich and the Moscow School of the Theory of Functions," Historia Mathematica 1978, 5:275-30; and Allen Shields, ÒYears Ago: Luzin and Egorov," The Mathematical lntelligencer, 1987, 9(4):24-27.
	www.hssonline.org /teach_res/essays/graham/grahamp3.html (381 words)

	Lobachevsky (print-only)
		There the boys attended Kazan Gymnasium, financed by government scholarships, with Nikolai Ivanovich entering the school in 1802.
		Despite this heavy administrative load, Lobachevsky continued to teach a variety of different topics such as mechanics, hydrodynamics, integration, differential equations, the calculus of variations, and mathematical physics.
		Weierstrass led a seminar on Lobachevsky's geometry in 1870 which was attended by Klein and, two years later, after Klein and Lie had discussed these new generalisations of geometry in Paris, Klein produced his general view of geometry as the properties invariant under the action of some group of transformations in the Erlanger Programm.
	www-groups.dcs.st-and.ac.uk /~history/Printonly/Lobachevsky.html (2004 words)

	Russian Space and Technology Timeline
		Nikolai Ivanovich Lobachevsky publishes his version of non-Euclidean hyperbolic geometry.
		Dmitrii Ivanovich Mendeleev publishes his periodic table of all known chemical elements, organized by their atomic weights.
		Russian physicists Nikolay Gennadievich Basov and Aleksandr Mikhailovich Prokhorov share the Nobel Prize for Physics with Charles Townes of the U.S. for the development of maser and laser principles in quantum mechanics.
	www.sandia.gov /asc/russia/science_timeline.html (624 words)

	Matemáticos Notables
		En 1807, Lobachevsky se graduó como bachiller y entró en la Universidad de Kazan como estudiante por libre.
		Tenemos que volver a considerar las ideas de algunos historiadores, por ejemplo M.Kline, dice que Gauss tenía que haber aconsejado a Lobachevsky sobre las directrices que debia tomar con respecto a su trabajo matemático, esto se conoce gracias a las cartas que se escribieron Bartels y Gauss.
		En 1837 Lobachevsky publicó su articulo sobre Geometría Imaginaria y un resumen de su nueva Geometría,” Geometrische Untersuchungen zur Theorie der Parellellinien” (Investigación geométrica sobre la Teoría de las líneas paralelas), publicado en Berlín en 1840.
	www.clasesdematematicas.com /matematicos-notables.htm?ref=22398 (2125 words)

	AllRefer.com - Nikolai Ivanovich Lobachevsky (Mathematics, Biography) - Encyclopedia
		You are here : AllRefer.com > Reference > Encyclopedia > Mathematics, Biographies > Nikolai Ivanovich Lobachevsky
		Nikolai Ivanovich Lobachevsky[nyikulI´ EvA´nuvich lubuchef´skE] Pronunciation Key, 1793–1856, Russian mathematician.
		More articles from AllRefer Reference on Nikolai Ivanovich Lobachevsky
	reference.allrefer.com /encyclopedia/L/Lobachev.html (202 words)

	Lobachevsky Nikolai Ivanovich - OneLook Dictionary Search
		Tip: Click on the first link on a line below to go directly to a page where "Lobachevsky Nikolai Ivanovich" is defined.
		Lobachevsky, Nikolai Ivanovich : Columbia Encyclopedia, Sixth Edition [home, info]
		Lobachevsky Nikolai Ivanovich : FOLDOP - Free On Line Dictionary Of Philosophy [home, info]
	www.onelook.com /cgi-bin/cgiwrap/bware/dofind.cgi?word=Lobachevsky+Nikolai+Ivanovich (88 words)

	Lobachevsky, Nikolai Ivanovich (Site not responding. Last check: )
		Lobachevsky published the first account of the subject in 1829, but his work went unrecognized until Georg Riemann's system was published.
		Lobachevsky was born at Nizhni-Novgorod and studied at the University of Kazan, Tatarstan.
		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.
	www.cartage.org.lb /en/themes/Biographies/MainBiographies/L/Lobachevsky/1.html (238 words)

	Nikolai Ivanovich Lobachevsky at AllExperts
		At Kazan University, Lobachevsky was influenced by professor Johann Christian Martin Bartels (1769–1833), a former teacher and friend of Carl Friedrich Gauss.
		Another of Lobachevsky's achievements was developing a method for the approximation of the roots of algebraic equations.
		In Poul Anderson's novella "Operation Changeling" (F&SF, 1969; Operation Chaos, 1971), a group of sorcerers navigate a non-Euclidean universe with the assistance of the ghosts of Lobachevsky and Bolyai.
	en.allexperts.com /e/n/ni/nikolai_ivanovich_lobachevsky.htm (422 words)

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