Bolyai

Bolyai

(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.

References in periodicals archive ?
The recreation building, another high-energy-use building, was a better choice, says Steve Bolyai, vice president of administration and finance.
Also, on page 18 in both volumes vos Savant comments about Bolyai, .
Most recently, Dr Sullivan- Bolyai has served as the executive director of Infectious Disease clinical research at Merck in multiple HCV protocols.
32), Pedroso e Motta (33), Sullivan- Bolyai (34), Dobbie e Mellor (35), Russo (36) Garcia et al.
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.
Casi simultaneamente, en 1832, pero en forma independiente, el hungaro Janos Bolyai (1802-1860, su lugar de origen hoy queda en Rumania) escribio un apendice al libro de su padre, Wolfgang Farkas Bolyai, con el titulo de La ciencia absoluta del espacio.
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.
Lobachevski (1793-1856), a Janos Bolyai (1802-1860), [Bonola, 1906)], a Georg F.
A trio of mathematicians--Lobachevsky, Bolyai, and Riemann--showed that there exists, in one case, more than one line; or in another, no such line.
A Hungarian mathematician, Janos Bolyai (1802-1860), had as early as 1823 worked out the same non-Euclidean geometry.