1. Let us think about Euclidean geometry first.

2. Previously, Euclidean geometry had stated that parallel lines never meet.

3. For example, recall that in Euclidean geometry the sum of the angles of any triangle is always 1800.

4. It is also mathematics, of course, but Euclidean geometry is by no means the only conceivable mathematical geometry.

5. However, certain ideas taken from ordinary Euclidean geometry are very helpful for us.

6. Why do I refer to Euclidean geometry as a physical theory rather than a branch of mathematics?

7. In the case of non - Euclidean geometry he published no definitive work.

8. Euclidean geometry is not only the leader of the civilization of ancient Greek but also the brilliant achievements of axiomatic approach in mathematics.

9. The paper introduces the one of non- Euclidean geometry - hyperbolic geometry into special theory of relativity.

10. Euclidean geometry is a mathematical system attributed to the Greek mathematician Euclidof Alexandria.

11. This article starts with the definition of the Euclidean Geometry and the Non-Euclidean Geometry.

12. These principles can be applied to energise and bring to life the hard edges of Euclidean geometry and of the drawing board.

13. However, this revelation did not bring about the destruction of Euclidean geometry,[sentencedict .com] it simply added to it.

14. The common conclusion was the uniqueness and necessity of Euclidean geometry.

15. It was this concept that Riemann generalized(), thereby opening up new vistas in non - Euclidean geometry.

16. Economics is not a straightforward discipline like Newtonian mechanics or Euclidean geometry.

17. The non - Euclidena geometries were in effect subordinated to Euclidean geometry.

18. Fractal Geometry is an expanding and deepening system of Euclidean geometry and essentially a new Weltanschauung and methodology.

19. Another simple synthetic proof of finiteness of areas of asymptotic triangles in non - Euclidean geometry is given.

20. Each innovation destined to dwarf the one extensive accomplishment of the Greeks - Euclidean geometry.

21. It seems that the proof of Pythagoras's theorem comes pretty much from just consulting the ideas of Euclidean triangle, the exhume of Euclidean geometry and simply doing inferences from those.