'''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. Bolyai's work focused on the construction of what is now known as [[hyperbolic]] geometry. Remarkably, Bolyai's greatest work was carried out while he was still a [[Great Achievements by Teenagers|teenager]].
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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 [[Russia]]n mathematician and [[astronomer]] Nikolai Lobachevsky. Bolyai's work focused on the construction of what is now known as [[hyperbolic]] geometry. Remarkably, Bolyai's greatest work was carried out while he was still a [[Great Achievements by Teenagers|teenager]].