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Non-Euclidian Geometry

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

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Non-Euclidian Geometry

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  1. Non-Euclidian Geometry Maryam Amini

  2. Main Objectives: • Understand the basic idea of Euclidean Geometry • Understand the basic idea of non-Euclidean Geometry • Conclusion

  3. 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]

  4. Truthiness • true in an absolute sense. • self-consistentnon-Euclidean geometries

  5. Non-Euclidean Geometry ? • study of shapes and constructions • hyperbolic and elliptic geometry • The essential difference

  6. 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. 

  7. 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.

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