János Bolyai is remembered as the Hungarian mathematician whose work on non-Euclidean geometry was eclipsed by the work of Nikolai Lobachevsky in Russia and Karl Gauss in Germany. The son of Farkas (Wolfgang) and Susanna Arkos Bolyai, Bolyai was...

1802-1860 Hungarian Mathematician Janos Bolyai was among the founders of non-Euclidean geometry. Non-Euclidean geometry concerns itself with internally consistent mathematical systems in which Euclid's parallel axiom does not apply. The parallel...

János Bolyai (December 15, 1802 – January 27, 1860) was a Hungarian mathematician, known for his work in non-Euclidean geometry. Bolyai was born in Kolozsvár, Transylvania (today Cluj-Napoca, Romania), the son of a well-known mathematician, Farkas...

ABSTRACT It is considered the notion of absolute Geometry in its evolution, from the first Non-euclidean Geometry of Lobacewski, Bolyai and Gauss till that of Smarandache Anti-Geometry. Key words: Euclidean Geometry, Non-euclidean Geometry, Hilbert's axioms and incidence structures deduced from them,...