János Bolyai

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Bolyai, János


Born Dec. 15, 1802, in Kolozsvár (Cluj); died Jan. 27, 1860, in Marosvásárhely (Tirgu-Mureş). Hungarian mathematician.

With N. I. Lobachevskii, Bolyai is one of the creators of non-Euclidean geometry. While still a student at the military Royal Engineering College (in Vienna), Bolyai began to work on a proof of a postulate concerning parallel lines. Upon graduating from the college, he continued intensive work in the same direction. Completing his research, he published it in 1832 in the form of a supplement (Appendix) to the first volume of the works of his father, Farkas Bolyai (1775–1856), professor of mathematics. The exposition of the Appendix is characterized by extreme conciseness and schematism; in the reasoning out of each word and symbol, the Appendix belongs among the most nearly perfect works of mathematical literature. Bolyai’s discoveries did not receive recognition during his lifetime, a fact which had a serious effect on his psyche.


In Russian translation:
Appendix: Prilozhenie, soderzhashchee nauku o prostranstve, absoliutno istinnuiu, ne zavisiashchuiu ot istinnosti ili lozhnosti XI aksiomy Evklida (chto a priori nikogda resheno byt’ ne mozhet), c pribavleniem, k sluchaiu lozhnosti, geometricheskoi kvadratury kruga. Moscow-Leningrad, 1950.
References in periodicals archive ?
1) This review was supported by the Janos Bolyai Research Scholarship of the Hungarian Academy of Sciences.
was supported by the Janos Bolyai Research Scholarship of the Hungarian Academy of Sciences and an NKB grant from the Faculty of Veterinary Science, Szent Istvan University.
He then skips forward to the Enlightenment, continuing the discussion through to the 20th century in chapters on Francois Viete, Rene Descartes, Gerard Desargues, Giovanni Saccheri, Johann Lambert, Nicolai Lobachevski and Janos Bolyai, Bernhard Riemann, Jean-Victor Poncelet, and Felix Klein.
Lobachevski (1793-1856), a Janos Bolyai (1802-1860), [Bonola, 1906)], a Georg F.