paper

Area of Polygons in Hyperbolic Geometry

arXiv:math/0407151

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.

23 pages, 4 figures

Area of Polygons in Hyperbolic Geometry · wovepaper