450x 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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