Area of Polygons in Hyperbolic Geometry

Benjamin Aaron Bailey

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Area of Polygons in Hyperbolic Geometry

Benjamin Aaron Bailey

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Abstract

Consider the Poincare disc model for hyperbolic geometry. In this paper, a convenient computational formula is developed along with an aesthetic geometric interpretation. Two proofs, one geometric and one analytical, of each result are given.

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Benjamin Aaron Bailey. 2004-07-08. Area of Polygons in Hyperbolic Geometry. https://arxiv.org/abs/math/0407151

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