But theories which are obtained in this way may be quite fake and temporary.Mathematics is not usually considered a source of surprises, but non-Euclidean geometry contains a number of easily obtainable theorems that seem almost “heretical” to anyone grounded in Euclidean geometry. The theory of “contractualism” is the first of the famous French mathematician and physicist, “Henri Poincaré” was expressed. Forces that our measurements of length and time in a way that is consistent with the phenomena – the place to be bent. Such forces can be added to a system based on Euclidean geometry so that the same effect is Naaqlydsy structure. The defendants argued that Euclidean geometry can not be decided by testing the geometry of the universe is Euclidean or Naaqlydsy. Naaqlydsy practical tests proved that the foundation of the world, and perhaps the best advice is general relativity theory with which we can see the objects. In general relativity theory of gravitation is not a force but a name that refers to the effect of moving objects in space-time curvature between them. According to general relativity, light traveling along the shortest line between the points, but sometimes the lines are curved in the presence of space – time. Due to the gravitational fields of celestial light which arises curved trajectory. Light is bent by the gravitational field and the curve comes in direct light, but in the course of curves and circles great that they have created the spheres. Einstein believed in the Riemann geometry are required. For the Euclidean geometry consisting of straight lines on a page is planned, but in reality there is no such a straight line. For this purpose, the geometry of the “Riemann” chose. Non-Euclidean geometry used by Einstein to explain the motion of light. Theory of relativity, a coherent interpretation of the concept of motion, time and place gives us. Applied Geometry acquired by experience and conceptual elements are interpreted as reflecting the experience. Applied Geometry, Applied Mathematics in reality. But as abstract geometry and the material world is not nothing to do with the mathematical concepts only to relations with each other, without reference to the experience of deals. Some of them are multidimensional and even n-dimensional. Once the mathematical study of the geometry of the system is described by a system of axioms different. Einstein’s theory of special relativity is a clear distinction between pure mathematics and applied mathematics. In this theory, the geometry of space and time are curved rather than straight. Since Einstein’s formulation of general relativity based on the geometry of the “Riemann” is. (Like the surface of a sphere), the sum of angles in a triangle equals 180 degrees is Naaqlydsy geometries.Gravity was accepted. The geometry of Lobachevsky and Riemann curvature given this fall. Euclidean space is assumed that any curved and curved. This means that the shortest distance between two points is a curve. With little tolerance can say is curved geometries. In geometry, “Riemann” line filter may be assumed parallel line does not pass through the point in geometry “Lobachevsky” may pass more than one line from that point. Euclid’s fifth postulate says: “For every line and point out the line, one line and one line parallel to a given line can go from that point.” Geometry “Lobachevsky” geometry “Riemann” This Article Fifth statutory questioned.

Euclidean geometry is based on the fifth postulate and theorems of geometry according to the five principles are proved. Euclidean geometry model for the structure of scientific theories of Newton and other scientists followed the lead. This system was deemed unquestionably correct description of the world. Formulate “Euclidean” geometry of the nineteenth century thought was good and was seen as the most prolific Euclid only system that is possible. In the nineteenth century the great mathematician named “Lobachevsky” and “Riemann” Two of geometric formulation of the rule that Euclidean geometry can be removed.

Applied math non euclidean geometry