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(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 Göttingen, where he began a lifelong friendship with Carl F. GaussGauss, Carl Friedrich
, born Johann Friederich Carl Gauss, 1777–1855, German mathematician, physicist, and astronomer. Gauss was educated at the Caroline College, Brunswick, and the Univ.
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. From 1804 to 1853 he was professor of mathematics at Maros Vásárhely. His primary interest was in the Euclidean parallel postulate. His principal work, the Tentamen (1832–33), inspired by his mathematically gifted son János, is an attempt at a rigorous and systematic foundation of geometry (Vol. I) and of arithmetic, algebra, and analysis (Vol. II).

János, or Johann, Bolyai, 1802–60, b. Koloszvár, Transylvania, was educated by his father in Maros Vásárhely 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.

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realization of a project called bolyai science & art center, performing technical content is not supported construction work on.
3-08 / 2-2009-0006 identification number of the realization of a project called bolyai science & art center, completing construction work on the technical content supported.
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.
The authors are grateful to the support of Bolyai Janos--Research Fellowship of HAS (Hungarian Academy of Science).
Archival documents reveal that the general secretary did, in fact, address the abuses of MAI at an earlier Politburo meeting on 24 May 1955, during which the PMR leaders also decided to release Janos Demeter (former deputy mayor of Cluj), Lajos Csogor (medical doctor who helped organize Bolyai University), and Lajos Jordaky (history professor at Bolyai 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.
Stephen Bolyai, WPUNJ's Vice President for Administration and Finance, states, "This project will be a landmark project for the University.
Contract grant sponsor: The Janos Bolyai Research Scholarship of the Hungarian Academy of Sciences and the Hungarian-French Intergovernmental Science and Technology Cooperation Programme; contract grant number: TeT FR-5/2007; contract grant sponsor: The Jedlik Anyos Programme of Ministry of Economy and Transport of Hungary: contract grant, number: ENGPL_07.
Sudakov, Pseudo-random graphs, Conference on Finite and Infinite Sets Budapest, Bolyai Society Mathematical Studies X, pp.
Csaba Szinetar was supported by a Bolyai Fellowship of the Hungarian Academy of Sciences.
This was finally challenged in the nineteenth century by several mathematicians such as Bolyai, Lobachevski, Riemann, and Gauss.