THE TEACHING OF MATHEMATICS

THE TEACHING OF MATHEMATICS
Transforming the disk model of hyperbolic geometry to the upper half-plane model
Stylianos Kaisaris

Abstract

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.

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Keywords: Hyperbolic geometry; transformations; disk model; upper half-plane model.

Pages:  74$-$80     

Volume  XX ,  Issue  2 ,  2017