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.
+
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.