1. Bolyai Biography of J nos Bolyai (18021860) http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

2. Contributions To The History A Bolyai jutalom, majd k sobb Bolyai d j t rt net t az 1860as vektol k veti a szerzo http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

3. Janos Bolyai Janos Bolyai (Kalozsvar, oggi Cluj, 1802 Marosvararhely 1860) Fu uno dei fondatori della geometria non-euclidea. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

4. American Hungarian Foundation Janos Bolyai Lecture Series On Arts Janos Bolyai (December 15, 1802 January 27, 1860) was born in Kolozsvar, Transylvania, at that time a Hungarian Grand Duchy ruled by the Hapsburgs http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

5. J NOS BOLYAI CONFERENCE ON HYPERBOLIC GEOMETRY to commemorate the 200th anniversary of the birth of the world famous Hungarian geometer J nos Bolyai http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

6. Schulprogramm Im Oktober In Der Bolyai Janos Grundschule Schulprogramm im November in der bolyai janos Grundschule Wetter Es wird immer k lter. Es gibt noch keinen Schnee http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

7. Schulprogramm Im Oktober In Der Bolyai Janos Grundschule Schulprogramm im Oktober in der bolyai janos Grundschule Wetter. Es wird immer k hler. Wechselweise Regen und Sonnenschein http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

8. MSN Encarta - Janos Bolyai quotation 2 items. Selected Web Links - J nos Bolyai MacTutor 1 item. Quotations. Mathematics Out of nothing I have created a strange http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

9. JANOS BOLYAI (1802-1860) JANOS BOLYAI (18021860) BORN Janos Bolyai was born on December 15, 1802 in Kolozsvar, Austrian Empire, which is now Cluj, Romania. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

10. J Nos Bolyai Janos Bolyai J nos Bolyai Janos Bolyai. In addition to his work in geometry, Bolyai developed a rigorous geometric concept of complex numbers as ordered pairs http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

11. BOLYAI Janos Translate this page bolyai janos (1802-1860). Matemático húngaro nacido en Kolozsvar y fallecido enMarosvásárheli, ambas en Hungría. Su padre había sido gran amigo de Gauss, http://almez.pntic.mec.es/~agos0000/Bolyai.html

BOLYAI Janos (1802-1860)

12. Kerdesek Bolyai Janos ... Bolyai János valóban igen fiatalon megismerhette a számelmélet alapvetõ kérdéseit . Hogy az 1820as években milyen alaposan tanulmányozta Bolyai János a http://www.mek.iif.hu/kiallit/tudtor/tallozo1/kisse2.html

1. Bolyai János valóban igen fiatalon megismerhette a számelmélet alapvetõ kérdéseit. Apja könyvtárában már 1804-ben ott volt Gaussnak Bolyai Farkas szerint "halhatatlan" Disquisitiones arithmeticae "... felnõtt tanítványaimmal együtt nyilvánosan igen dicséretesen vizsgázott deákul..." "Fiamnak szándéka volt, hogy a Te polygon-elméletedet németül, a kisebb kaliberû elméknek valamivel könnyebben hozzáférhetõ módon adja ki..." "Már kisgyermek koromban feltettem magamnak a kérdést, hogy végtelen sok prímszám létezik­e?" "már elsõ fiatal, sõt gyermekkoromban magamtól is találtam, átláttam, rámentem", hogy a, b a+bi i i "...benne találod néhány oldalon kifejtve a képzetes mennyiségekre vonatkozó nézeteimet, ..., nem nehéz megszerezni, ..." Érthetetlen, hogy Gauss miért nem értesítette Bolyai Farkast 1832­ben elsõ elõadásáról is, s arról a késõbbiekben sem írt. Gauss 1832. március 6­ai levelére Bolyai Farkas 1835. április 20­án válaszolt s az "imagináriusokról szóló közlést" akkor köszönte meg. Közben hírt kapott Gauss elsõ elõadásáról is, mert már a következõ, október 4­ei levelében ezt írta:

13. Foglalkozott-e Szamelmelettel Bolyai Janos Kérdések Bolyai János kutatásairól a cikkel kapcsolatos kérdések és a szerzõ Vajon Bolyai János találkozott a számelmélet érdekfeszítõ kérdéseivel? http://www.mek.iif.hu/kiallit/tudtor/tallozo1/kisse1.html

"Utinam Gauss superstes esset!" l. Lajos, Alexits Weszely Tibor Nézzük meg rendre, mindvégig a kéziratokat faggatva, hogy miképpen vélekedett Bolyai János a számelméletrõl, annak nagy alakjáról, Gaussról, remekmûvérõl, a Disquisitiones arithmeticae-rõl, majd pedig vizsgáljuk meg a hagyatékban eddig "rejtõzõ" néhány számelméleti eredményét. Erre a mûvére Gauss is büszke volt. Egy 1808. szeptember 2-án Bolyai Farkashoz írt levelében úgy nyilatkozik, hogy a Disquisitiones arithmeticae-t csak hat matematikus értette meg egész Európában. Ugyanitt a számelméletrõl szólva azt mondja: "Figyelemre méltó, hogy bárkit, aki komolyan foglalkozik ezzel a tudománnyal, igaz szenvedély kerít hatalmába." Bolyai János legtöbbet a prímszámokkal veszõdött. "Az egész számtan sõt az egész tan mezején - vallja - alig van szebb és érdekesebb... s a legnagyobb nyiászok (matematikusok - K E.) figyelme és eleje óta elfoglalt tárgy, mint a fõszámok (prímszámok - K. E.) oly mély homályban rejlõ titka".

14. Levente's Journal bolyai janos was one of the founders of the BolyaiLobachevsky geometry, On the chamfered corner there is the famous quote from bolyai janos Out of http://www.greatestcities.com/users/tordail/

Levente's Journal 10 most recent entries my locations GreatestCities tordail's Profile Africa Tunisia Susah Europe Hungary Romania Tirgu Mures Subject: Susah Date: I was in Susah and will write and publish pictures about it, soon. post a comment Subject: Tirgu Mures : Pseudo-sphere Date: This is a recent sculpture at the 200-th birth aniversary of Bolyai Janos (1802-1860). The sculpture represents the pseudo-sphere on which the non-euclidian Bolyai-Lobachevsky geometry is applied. post a comment Subject: Tirgu Mures : Sculpture of the Bolyai's Date: This picture is me in front of the sculpture representing the two world famous mathematicians, the Bolyai's, Bolyai Janos and Bolyai Farkas, who lived and created in Tirgu Mures. Bolyai Janos was one of the founders of the Bolyai-Lobachevsky geometry, a revolutionary non-euclidian geometry. 1 comment post a comment Subject: Tirgu Mures : Teleki library Date: The Teleki library was founded in 1797-1799 and houses a large collection of rare and ancient books in original. The founder was Teleki Samuel, a well known politician at his time. He was so concerned about his collection of rare books, that he ordered through his will, that no lighting or heating shall be used inside the library. Fortunately with the invention of electricity, that was no longer an inconvenience, since light bulbs and electric heaters are no threat to the books. post a comment Subject: Tirgu Mures : Pseudo sphere Date: A close-up on the pseudo-sphere. On the chamfered corner there is the famous quote from Bolyai Janos: "Out of nothing I have created a strange new universe" (a reference to the creation of a non-euclidean geometry).

15. Bolyai Janos Bolyai is most noted for having authored a complete treatise on a complete No matter, Janos Bolyai developed an intricate geometric concept of http://members.tripod.com/~noneuclidean/bolyai.html

setAdGroup('67.18.104.18'); var cm_role = "live" var cm_host = "tripod.lycos.com" var cm_taxid = "/memberembedded" Search: Lycos Tripod Star Wars Share This Page Report Abuse Edit your Site ... Next Janos Bolyai Janos Bolyai is most noted for having authored a complete treatise on a complete system on non-Euclidean geometry. Born on December 15, 1802 in present-day Romania then Hungary ). By the tender age of 13, Bolyai had developed a mastership of calculus and other sorts of analytical mathematics and mechanics. Mainly, Janos was taught by his father, Farkas Bolyai , who gave his son unparalleled instruction. Meanwhile, Janos became an equally talented violinist who performed in Vienna. Thus, Janos embarked on a study of engineering at the Royal Engineering College in Vienna from 1818 to 1822. As soon as Janos completed his studies, he joined the then Austro-Hungarian Imperial Army as an engineer and he was known as the best swordsman and dancer in the army. Notably, Janos adhered to a puritanical style of life and he did not smoke and did not drink. His genius lead him to learn nine languages including Tibetan. Janos Bolyai's treatise was an immense milestone in non-Euclidean development. From 1820 to 1823, Janos authored a treatise on a full non-Euclidean system. Sadly, Janos discovered that his ideas had been anticipated by

16. Bolyai, Janos (1802-1860) -- From Eric Weisstein's World Of Scientific Biography Hungarian mathematician who was the son of Farkas bolyai. janos did not heedhis father, however, and his work, which paralleled that of Lobachevsky, http://scienceworld.wolfram.com/biography/BolyaiJanos.html

Branch of Science Mathematicians Nationality Hungarian ... Scientific Families Bolyai, Janos (1802-1860) Hungarian mathematician who was the son of Farkas Bolyai . When Bolyai began puzzling over Euclid's fifth postulate his father wrote him "For God's Sake, I beseech you, give it up. Fear it no less than sensual passions because it, too, may take all your time, deprive you of your health, peace of mind, and happiness in life" (Boyer 1968, p. 587). Janos did not heed his father, however, and his work, which paralleled that of Lobachevsky , was published by his father. However, Bolyai's lack of recognition and the publishing of Lobachevsky's work led him to publish nothing more. Bolyai (Farkas) Lobachevsky Additional biographies: MacTutor (St. Andrews) References Boyer, C. B. A History of Mathematics, 2nd ed. New York: Wiley, 1968.

17. BOLYAI, JANOS Or JOHANN (1802-1860) And LOBACHEVSKY, N.I(1793-1856) As early as 1823, janos bolyai began to understand the real nature of the janos bolyai never published anything further, although he did leave behind a http://library.thinkquest.org/22584/temh3019.htm

BACK Index of Development Graphic Version BOLYAI, JANOS or JOHANN (1802-1860) and LOBACHEVSKY, N.I(1793-1856) Bolyai published his findings in 1832 in an appendix to a mathematical work of his father. 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.. There seems little point in discussing here the intricate, and probably unfounded theories explaining how various of these men might have obtained and appropriated information of the findings of some other. There was considerable suspicion and incrimination of plagiarism at the time. Nicolai Ivanocitich Lobachevsky spent the greater part of his life at the University of Kasan first as a student, later as a professor of mathematics, and finally as rector. His earliest paper on non-Euclidean geometry was published in 1829 and 1830 in the Kasan Bullentin , two to three years before Boyai's work appeared in print. This memoir attracted only slight attention in Russia, and, because it was written in Russian, practically no attention elsewhere. Lobachevsky followed this initial effort with other presentations. For example, in the hope of reaching a wider group of readers, he published, in 1840,a little book

18. American Hungarian Foundation Janos Bolyai Lecture Series On Arts And Sciences bolyai János (1802 december 15 1860 január 27) Kolozsvárott született és bolyai János, a marosvásárhelyi Református Kollégium híres matematika, http://www.ahfoundation.org/bolyai/about-janos-bolyai.html

English Janos Bolyai Biography Janos Bolyai (December 15, 1802 - January 27, 1860) was born in Kolozsvar, Transylvania, at that time a Hungarian Grand Duchy ruled by the Hapsburgs, and died in Marosvasarhely, Transylvania. Janos Bolyai, son of Farkas Bolyai, the famous professor of mathematics, physics and chemistry at the Reformed College in Marosvasarhely, as a teenager set himself to resolve the 2000 year old geometry problem, intensively researched also by his father: T o prove Euclid's fifth, the so called parallel postulate from Euclid's others. The fifth postulate requires that given a line in the plane and a point outside of it, there exists exactly one line through the point that is parallel to the line. After he had recognized the impossibility of this task, he developed absolute geometry that is independent of the fifth postulate and also hyperbolic geometry where this postulate is negated in such a way that infinitely many parallels are assumed to exist through the given point to the given line.

19. Bolyai, Janos --  Encyclopædia Britannica bolyai, janos Hungarian mathematician and one of the founders of nonEuclideangeometry— a geometry that differs from Euclidean geometry in its definition http://www.britannica.com/eb/article-9080524

Home Browse Newsletters Store ... Subscribe Already a member? Log in Content Related to this Topic This Article's Table of Contents János Bolyai Print this Table of Contents Shopping Price: USD $1495 Revised, updated, and still unrivaled. The Official Scrabble Players Dictionary (Hardcover) Price: USD $15.95 The Scrabble player's bible on sale! Save 30%. Merriam-Webster's Collegiate Dictionary Price: USD $19.95 Save big on America's best-selling dictionary. Discounted 38%! More Britannica products  Encyclopædia Britannica Article Page 1 of 1 Hungarian mathematician and one of the founders of non-Euclidean geometry Euclidean geometry (75 of 355 words) var mm = [["Jan.","January"],["Feb.","February"],["Mar.","March"],["Apr.","April"],["May","May"],["June","June"],["July","July"],["Aug.","August"],["Sept.","September"],["Oct.","October"],["Nov.","November"],["Dec.","December"]]; To cite this page: MLA style: http://www.britannica.com/eb/article-9080524

20. MSN Encarta - Janos Bolyai bolyai, János (18021860), Hungarian mathematician, who was one of the foundersof non-Euclidean geometry, independently of Nikolay Lobachevsky and http://encarta.msn.com/encyclopedia_761578845/Janos_Bolyai.html

MSN Home My MSN Hotmail Shopping ... Sign In Web Search: Encarta Subscriber Sign In Help Home ... Upgrade your Encarta Experience Search Encarta Subscription Article MSN Encarta Premium: Get this article, plus 60,000 other articles, an interactive atlas, dictionaries, thesaurus, articles from 100 leading magazines, homework tools, daily math help and more for $4.95/month or $29.95/year (plus applicable taxes.) Learn more. This article is exclusively available for MSN Encarta Premium Subscribers. Already a subscriber? Sign in above. Bolyai, J¡nos Bolyai, J¡nos (1802-1860), Hungarian mathematician, who was one of the founders of non-Euclidean geometry, independently of Nikolay Lobachevsky and... Related Items development of non-Euclidean geometry quotation 2 items Selected Web Links J¡nos Bolyai [MacTutor] 1 item Quotations Mathematics: Out of nothing I have created a strange new… Want more Encarta? Become a subscriber today and gain access to: Daily Math Help Literature Guides Researcher Tools Paper-Writing Guides 60,000 + articles Interactive Atlas Magazine Center Find more about Bolyai, J¡nos

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