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Janos Bolyai was a Hungarian mathematician in the nineteenth century. He was the son of Farkas Bolyai, another mathematician, who was a friend and colleague of the great German mathematician Karl Friedrich Gauss. Janos Bolyai 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.
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Janos Bolyai was a Hungarian mathematician in the nineteenth century. He was the son of Farkas Bolyai, another mathematician, who was a friend and colleague of the great German mathematician [[Carl Friedrich Gauss]]. Janos Bolyai 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.
    
{{DEFAULTSORT: Bolyai, Janos}}
 
{{DEFAULTSORT: Bolyai, Janos}}
 
[[category:mathematicians]]
 
[[category:mathematicians]]

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