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He wrote many papers on mathematics, but his fame was as mathematician “heretic”, the creator of the first non- Euclidean geometry. For twenty centuries Euclid and his system of geometry had remained supreme. It was widely assumed by scholars that mathematics, and geometry in particular, consisted of fundamental truths that existed independently of man. Two and two had to equal four and the sum of the three angles of a triangle had to be equal to 180 degrees. 4.Lobachevsky took a darling step and created a new geometry, which was not intended to represent anything “real”, it was simply a self- consistent mathematical system. It is to be found on the surface of a curve called a pseudosphere. Lobachevsky’s geometry had revolutionized mathematics and the philosophy of science.