NON-EUCLIDIAN GEOMETRY

Maryam Amini

Main Objectives :

Understand the basic idea of Euclidean

Geometry

Understand the basic idea of non-

Euclidean Geometry

Conclusion

What is Euclidean Geometry?

is a mathematical system

assuming a small set of intuitively appealing axioms, and deducing propositions.

how these propositions could be fit into a comprehensive deductive and logical system.[2]

Truthiness

true in an absolute sense. self-consistent non-Euclidean geometries

Non-Euclidean Geometry ?

study of shapes and constructions

hyperbolic and elliptic geometry

The essential difference

Concepts of Non-Euclidean Geometry

Basing new systems on the Euclid’s systems

are any forms of geometry that contain a

postulate (axiom) which is equivalent to the

negation of the Euclidean parallel postulate. 

Conclusion:

euclidean and non-euclidean geometry were coordinated, and each of them subordinated to new types of geometry. The classical postulational treatments obtained different results.