Geodesic
Transforming the disk model of hyperbolic geometry to the upper half-plane model
The Teaching of Mathematics, XX (2017) no. 2, p. 74
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The isomorphism between the two Poincaré models of Hyperbolic Geometry is usually proved through a formula using the Möbius transformation. In this article, we present a geometrical procedure which transforms one model onto the other and leads to these transformations. This can be utilized in the educational process.
Classification : 97G50 G55
Keywords: Hyperbolic geometry, transformations, disk model, upper half-plane model. 
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     author = {Stylianos Kaisaris},
     title = {Transforming the disk model of hyperbolic geometry to the upper half-plane model},
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     year = {2017},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TM2_2017_XX_2_a2/}
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Stylianos Kaisaris. Transforming the disk model of hyperbolic geometry to the upper half-plane model. The Teaching of Mathematics, XX (2017) no. 2, p. 74 . http://geodesic.mathdoc.fr/item/TM2_2017_XX_2_a2/