Area of Polygons in Hyperbolic Geometry
Metric Geometry
2007-05-23 v1
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.
Cite
@article{arxiv.math/0407151,
title = {Area of Polygons in Hyperbolic Geometry},
author = {Benjamin Aaron Bailey},
journal= {arXiv preprint arXiv:math/0407151},
year = {2007}
}
Comments
23 pages, 4 figures