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Other Contributions of Non-Euclidean Geometry
Almost at the same time that Lobachevsky founded non-Euclidean geometry, Hungarian mathematician Bao Ye Janos also discovered the existence of unprovable fifth postulate and non-Euclidean geometry. In the process of learning non-Euclidean geometry, Baoye was also given a cold shoulder by his family and society. His father, mathematician Bao Ye Facas, also studied the theory of parallel lines and corresponded with Gauss. But he was hit by a simple mistake in his theory, so when Janos studied the fifth postulate, he thought it was stupid to waste energy and energy and advised him to give up this kind of research. But Bao Ye Janos insisted on developing new geometry. Finally, in 1832, in a book by his father, the research results were published in the form of an appendix. Gauss also found that the fifth postulate could not be proved, and studied non-Euclidean geometry. However, Gauss was afraid that this theory would be attacked and persecuted by the church forces at that time, and he dared not publish his research results publicly. He just expressed his views to his friends in his letters, but he didn't dare to stand up and publicly support the new theories of Lobachevsky and Bao Ye.