A computer application in mathematics
نویسندگان
چکیده
Geometry is the second field of mathematics. It is the extension of number theory. There is no exact period for the origin of classical geometry. Euclid was the first mathematician who compiled Elements which contains propositions and constructions. In Elements, Euclid assumed five postulates. Euclid could not prove the parallel postulate. After Euclid almost allmathematicians attempted to deduce the fifth postulate from the first four postulates. But unfortunately all of them failed. The studies on this famous historical problem gave birth to two consistentmodels of non-Euclidean geometries. These affine geometries are widely used in quantum physics and relativistic mechanics. Also, the surveys and research led to a number of propositions equivalent to the fifth postulate. Saccheri’s similar triangle proposition is well known equivalent axiom to the parallel postulate. In this work the authors derive the preliminary result and sincerely propose the open problem by using a physical phenomena.
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