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	Nikolai Ivanovich Lobachevsky - Wikipedia, the free encyclopedia
		At Kazan University, Lobachevsky was influenced by professor Johann Christian Martin Bartels (1769–1833), a former teacher and friend of Carl Friedrich Gauss.
		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 approximation of the roots of algebraic equations.
	en.wikipedia.org /wiki/Nikolai_Ivanovich_Lobachevsky (389 words)

	Lobachevsky biography
		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.
		The story of how Lobachevsky's hyperbolic geometry came to be accepted is a complex one and this biography is not the place in which to go into details, but we shall note the main events.
		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
	www-groups.dcs.st-and.ac.uk /~history/Biographies/Lobachevsky.html (2189 words)

	Lobachevsky (Site not responding. Last check: 2007-10-14)
		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".
		Lobachevsky died in Kazan on February 24, 1856.
	members.tripod.com /~noneuclidean/lobachevsky.html (210 words)

	Lobachevsky, Nikolay Ivanovich
		Lobachevsky was the son of an impecunious government official.
		Lobachevsky's discovery, corroborated by Bolyai's work published in 1832, was the final solution of a problem that had baffled mathematicians for 2,000 years.
		Lobachevsky's ideas were rooted in his opposition to Kant's transcendental Idealism, which maintains that such ideas as space, time, and extension are a priori, and that the mind imposes order on sense experience.
	www.phy.bg.ac.yu /web_projects/giants/lobachevsky.html (900 words)

	Nikolai Ivanovich Lobachevsky Biography \| scit_05123_package.xml
		Lobachevsky received a public scholarship to the university in Kazan at the age of 14, intending to study medicine.
		Lobachevsky, probably realizing that an idea without follow-up or publication was not a valid claim of precedence, was not bothered by it.
		Lobachevsky was able to turn the university around, reestablishing it as a place of high academic standards and a collegial environment.
	www.bookrags.com /biography/nikolai-ivanovich-lobachevsky-scit-05123 (570 words)

	Nikolai Ivanovich Lobachevsky
		Nikolai Ivanovich Lobachevsky (December 1, 1792 - February 24, 1856) was a Russian mathematician.
		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.
		Perhaps these finally mark the acceptance of Lobachevskii's ideas which would eventually be seen as vital steps in freeing the thinking of mathematicians so that relativity theory had a natural mathematical foundation.
	www.ebroadcast.com.au /lookup/encyclopedia/lo/Lobachevsky.html (1537 words)

	THE LOBACHEVSKY ANOMALY (Site not responding. Last check: 2007-10-14)
		This is a view of the side of Lobachevsky crater as photographed by the Apollo 16 astronauts.
		This is a false-color multi-spectral 'stereo' image of the Lobachevsky anomaly made from 450, 900, and 950 nm images mapped to red-green-blue on the left, and 750, 900, and 1100 nm images mapped to r-g-b on the right.
		It shows a small crater on Lobachevsky's wall with unusual streaks of dark material that appeared to have originated from the lower rim of the structure and to have moved down the floor of Lobachevsky.
	www.anomalous-images.com /apollo/lobachevsky.html (1150 words)

	test (Site not responding. Last check: 2007-10-14)
		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)

	BOLYAI, JANOS or JOHANN (1802-1860) and LOBACHEVSKY, N.I(1793-1856)
		BOLYAI, JANOS or JOHANN (1802-1860) and LOBACHEVSKY, N.I(1793-1856)
		Later it was learned that Lobachevsky had published similar findings as early as 1829-1830, but, because of language barriers and the slowness with which information of new discoveries traveled in those days, Lobachevsky's work did not become known in western Europe for some years..
		Lobachevsky himself did not live to see his work accorded any wide recognition, but the non-Euclidean geometry that he developed is nowadays frequently referred to a Lobachevskian geometry.
	library.thinkquest.org /22584/temh3019.htm (527 words)

	Nikolai Ivanovich Lobachevsky (Site not responding. Last check: 2007-10-14)
		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.
		In 1834, Lobachevsky also found a method for the approximation of the roots of algebraic equations.
	www.stetson.edu /~efriedma/periodictable/html/Yb.html (372 words)

	MAT 530-01
		Lobachevsky received a Master’s in Physics and Mathematics in 1811.
		Lobachevsky was recognized as someone who would help bring important changes to the school.
		Lobachevsky made it a personal task to be sure all the science labs were properly equipped.
	www.southernct.edu /~pinciuv/mat530pr12/mat530pr12.html (925 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 (189 words)

	Tertium Organum: Chapter VII
		Lobachevsky's doctrine was rather allied to sensualism and the current empiricism, and compelled geometry to take its place again among the experienced sciences.
		A surface in the mind of Lobachevsky, as a geometrician, was only a means for the generalization of certain properties on which this or that geometrical system was constructed, or the generalization of the properties of certain given lines.
		Thus on the one hand, Bonola, who ascribed to Lobachevsky views opposite to Kant, and their nearness to "sensualism" and "current empiricism," is quite wrong, while on the other hand, it is not impossible to conceive that Hinton entirely subjectively ascribes to Gauss and Lobachevsky their inauguration of a new era in philosophy.
	www.sacred-texts.com /eso/to/to10.htm (2015 words)

	Lobachevsky, Nikolai Ivanovich - HighBeam Encyclopedia (Site not responding. Last check: 2007-10-14)
		LOBACHEVSKY, NIKOLAI IVANOVICH [Lobachevsky, Nikolai Ivanovich], 1793-1856, Russian mathematician.
		Lobachevsky first announced his system in 1826; he subsequently wrote several expositions of it, including Geometrical Researches on the Theory of Parallels (originally pub.
		Despite his efficient and devoted service, in 1846 he was relieved by the government of his posts of professor and rector.
	www.encyclopedia.com /doc/1E1-lobachev.html (179 words)

	Lobachevsky, Nikolai Ivanovich (Site not responding. Last check: 2007-10-14)
		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.
		The clearest statement of Lobachevsky's geometry was made in the book Geometrische Untersuchungen zur Theorie der Parallellinien, published in Berlin 1840.
	www.cartage.org.lb /en/themes/Biographies/MainBiographies/L/Lobachevsky/1.html (238 words)

	Lobachevsky the man, or maybe the server (Site not responding. Last check: 2007-10-14)
		Lobachevsky is a snappy little web server that I run off of my local network.
		The real Lobachevsky was a Russian mathematician who helped pioneer the field of non-Euclidean Geometry, read more here.
		Lobachevsky was originally created from very old spare parts to act as a test server on which I would get my feet wet in terms of Linux administration without actually having to worry about breaking anything.
	lobachevsky.homelinux.net /about (209 words)

	Non-Euclidean Geometries, Discovery
		However, Lobachevsky was first to publish a paper on the new geometry.
		As a rector of Kazan University, Lobachevsky was awarded a diamond ring by Tsar Nicholas, he also received several medals and citations for other services.
		Lobachevsky and Bolyai built their geometries on the assumption (C): through a point not on the line there exist more than 1 parallel to the line.
	www.cut-the-knot.org /triangle/pythpar/Drama.shtml (922 words)

	Nikolai Ivanovich Lobachevsky - Wikipedia
		Lobachevsky nacque a Nizhny Novgorod, Russia, da Ivan Maksimovich Lobachevsky, impiegato in un ufficio del catasto agricolo, e da Praskovia Alexandrovna Lobachevskaya.
		Nel periodo in cui fu rettore, Lobachevsky, contribuì alla costruzione di nuovi edifici, quali una biblioteca, un osservatorio astronomico e laboratori di chimica e anatomia.
		Lobachevsky diede la definizione di una funzione come una corrispondenza tra due insiemi di numeri reali (Dirichlet diede indipendentemente presto la stessa definizione dopo Lobachevsky).
	it.wikipedia.org /wiki/Lobachevsky (939 words)

	Mathematics of Relativity -- from Mathematica Information Center
		Euclidean, Lobachevsky, and Riemannian geometries become the particular cases of the developed geometry, although many others are possible.
		It is also proved that Euclidean and Lobachevsky geometries are not mutually exclusive but are special cases of the developed geometry.
		In particular, Euclidean geometry works in a sufficiently small neighborhood of the given line, and Lobachevsky geometry is valid outside of that neighborhood.
	library.wolfram.com /infocenter/Conferences/5853 (192 words)

	Lobachevsky (via CobWeb/3.1 planetlab5.csail.mit.edu) (Site not responding. Last check: 2007-10-14)
		Lobachevsky was born in Novgorod, Russia and receceived his higher education at the University of Kazan; he was to spend his entire profession life associated with the university: student, faculty member, librarian, construction supervisor, and ultimately, rector.
		His work was slow to gain acceptance; this is due to it revolutionary character, the inability of Russian mathematicians to understand it (Ostrogradsky at St. Petersberg gave Lobachevsky's major paper a bad review, clearly not seeing its purpose), and its unavailability to european mathematicians.
		This came to an end when a version of it was published in Crelle's Journal and with the sponsorship of Gauss, Lobachevsky was elected a member of the Gottingen Gesellschaft der Wissenschaften.
	www.mthcsc.wfu.edu.cob-web.org:8888 /~kuz/Stamps/Lobachevsky/Lobachevsky.htm (185 words)

	Non-Euclidean Geometries, Models
		Lobachevsky was quite aware of the problem and in later publications tried without success to redefine the notions of line and plane.
		Beltrami discovered that Lobachevsky's geometry admits an interpretation in terms of Euclidean geometry.
		In Lobachevsky's geometry, the lines are assumed to be infinite in extent.
	www.cut-the-knot.org /triangle/pythpar/Model.shtml (763 words)

	"Lobachevsky", by Tom Lehrer
		Trivia from Tom Lehrer: "I spoke no Russian (and still speak none), and it was Munro Edmonson who taught me (phonetically) the Russian phrase I used in 'Lobachevsky' regarding going where even the Tsar goes on foot...I've used various Russian expressions on the various recordings.
		On the first (the 1953 10-inch), the first phrase was the first line of Mussorgsky's Song of the Flea, with which I was already familiar and which Ed taught me how to pronounce.
		Not only does it include virtually all his songs, all the lyrics, all his wonderful original liner notes, and several songs not available on any other albums, but it also has a great biography (with many quotes from Lehrer) and comic-strip illustrations of two of his songs from Mad Magazine.
	www.haverford.edu /physics-astro/songs/lehrer/lobachevsky.htm (303 words)

	SCIENTIST ANNOUNCES POSSIBLE ARTIFACT ON MOON (Site not responding. Last check: 2007-10-14)
		There are two unusual objects of unknown origin in the Lobachevsky crater on the lunar farside: a giant triangular shape and a smaller cylindrical one.
		Recently (on an Apollo 16 image of the Lobachevsky crater), I discovered two mysterious objects which cannot be explained simply as a "trick of light and shadow", natural hills or photo artifacts.
		This is unlikely because all boulders of this dimension would be fractured, shattered and destroyed during the Lobachevsky impact.
	www.anomalies.net /archive/cni-news/CNI.0818.html (958 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)

	Highbeam Encyclopedia - Search Results for Lobachevsky,
		Lobachevsky, Nikolai Ivanovich LOBACHEVSKY, NIKOLAI IVANOVICH [Lobachevsky, Nikolai Ivanovich], 1793-1856, Russian mathematician.
		A pioneer in non-Euclidean geometry, he challenged Euclid's fifth postulate that one and only one line parallel to a given line can be drawn through a fixed point external to the line; he developed,
		Find newspaper and magazine articles plus images and maps related to "Lobachevsky," at HighBeam.
	www.encyclopedia.com /SearchResults.aspx?Q=Lobachevsky, (410 words)

	TOM LEHRER REVISITED - 6. Lobachevsky
		Be that as it may, some of you may have had occasion to run into mathematicians and to wonder therefore how they got that way, and here, in partial explanation perhaps, is the story of the great Russian mathematician Nicolai Ivanovich Lobachevsky.
		One man deserves the credit, One man deserves the blame, and Nicolai Ivanovich Lobachevsky is his name.
		And ever since I meet this man my life is not the same, And Nicolai Ivanovich Lobachevsky is his name.
	members.aol.com /quentncree/lehrer/lobachev.htm (631 words)

	[No title]
		Lehrer imagined an unscrupulous acolyte following in Lobachevsky's footsteps by writing a math book in which every chapter is stolen from somewhere else and the index is copied from an "old Vladivostok telephone directory." "Plagiarize, plagiarize, plagiarize," Mr.
		Lehrer's Lobachevsky lyrics have become relevant on their home turf, in the exposition of mathematical ideas, if not their discovery.
		Instead, his work, like the writings of the historical Lobachevsky, provides evidence of how, often, brilliant minds facing similar problems develop similar ideas at similar times.
	www.math.rutgers.edu /~sussmann/papers/nytimes-on-casti (959 words)

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