242x Filetype PPTX File size 0.62 MB Source: www.cs.cmu.edu
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 [2] and logical system. Truthiness true in an absolute sense. self-consistent non-Euclidean geometries Non-Euclidean Geometry ? 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.
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