A New Hyperbolic Area Formula of a Hyperbolic Triangle and Its Applications
2014
We study some characterizations of hyperbolic geometry in the Poincare disk. We first obtain the hyperbolic area
and length formula of Euclidean disk and a circle represented by its Euclidean center and radius. Replacing interior angles with vertices coordinates, we also obtain a new hyperbolic area formula of a hyperbolic triangle. As its application, we give the hyperbolic area of a Lambert quadrilateral and some geometric characterizations of Lambert quadrilaterals and Saccheri quadrilaterals.
Keywords:
- Correction
- Source
- Cite
- Save
- Machine Reading By IdeaReader
23
References
0
Citations
NaN
KQI