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Sara Koimeli: An Introduction to Poincare's model of Hyperbolic Geometry

Time: Thu 2019-05-23 11.00 - 12.00

Respondent: Sara Koimeli

Supervisor: Rikard Bögvad

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Abstract: Just in recent centuries this indisputable belief, that Euclidean geom-etry is the absolute and invariable truth which completely justifies thephysical space, came to inadequacy. Geometricians of nineteenth centurydemonstrated that there could be another possible form of geometry. Inthe following lines we concentrate on non-Euclidean geometry and ba-sically hyperbolic geometry introducing hyperbolic distance, geodesics,hyperbolic triangles and their interesting

differences with Euclidean tri-angles and hyperbolic area.