He developed [[non-Euclidean geometry]] independently of his rival the Hungarian mathematician Janos Bolyai, who developed the same concept at the same time. Non-Euclidean geometry is a system of geometry that rejects traditional Euclidean geometry's fifth postulate that parallel lines can never intersect. He also invented a method for finding the approximations of the roots of algebraic equations. | He developed [[non-Euclidean geometry]] independently of his rival the Hungarian mathematician Janos Bolyai, who developed the same concept at the same time. Non-Euclidean geometry is a system of geometry that rejects traditional Euclidean geometry's fifth postulate that parallel lines can never intersect. He also invented a method for finding the approximations of the roots of algebraic equations. |