Luecke, John Edwin2013-12-122017-05-112017-05-112013-08August 201http://hdl.handle.net/2152/22662textThis report discusses two examples of the use of Poincare disc models and their different relationships to Euclidean geometry. The topics include light reflection in hyperbolic geometry and the Hyperbolic Pythagorean Theorem; all in relation to the Poincare unit disc and Poincare upper half plane model.application/pdfen-USPoincareHyperbolic geometryUnit disc modelUpper half plane modelPoincaré disc models in hyperbolic geometry2013-12-12