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'''János Bólyai''' (1802-1860) was a [[Hungarian]] [[mathematician]]. He was the son of Farkas Bolyai, another mathematician, who was a friend and colleague of the great [[German]] mathematician [[Carl Friedrich Gauss]]. János Bólyai invented non-Euclidean [[geometry]] at the same time as and independently of his rival, the [[Russian]] mathematician and [[astronomer]] Nikolai Lobachevsky. Non-Euclidean geometry is a form of geometry which differs from traditional Euclidean geometry in that it rejects Euclidean geometry's fifth postulate that parallel lines can never intersect.

'''János Bólyai''' (1802-1860) was a [[Hungarian]] [[mathematician]]. He was the son of Farkas Bolyai, another mathematician, who was a friend and colleague of the great [[German]] mathematician [[Carl Friedrich Gauss]]. János Bólyai invented non-Euclidean [[geometry]] at the same time as and independently of his rival, the [[Russian]] mathematician and [[astronomer]] Nikolai Lobachevsky. Non-Euclidean geometry is a form of geometry which differs from traditional Euclidean geometry in that it rejects Euclidean geometry's fifth postulate that parallel lines can never intersect.