Hyperbolic geometry in general education: comprehending the incomprehensible

the role of thematic structure in comprehending spoken language

in fact this study is concerned with the relationship between the variation in thematice structure and the comprehension of spoken language. so the study focused on the following questions: 1. is there any relationship between thematic structure and the comprehension of spoken language? 2. which of the themes would have greated thematic force and be easier for the subjects to comprehend? accord...

Hyperbolic Geometry

Problems in Hyperbolic Geometry

The purpose of this document is to list some outstanding questions in the subject of hyperbolic geometry (real, complex, quaternionic, and the Cayley plane), with the primary focus on the latter three. This list was inspired by the problem sessions held at the conference on Complex Hyperbolic Geometry in Luminy (CIRM) in July of 2003. The questions are roughly grouped by similarity. The name(s)...

Topics in Hyperbolic Geometry

There are two types of parallel lines in Hyperbolic Geometry. There are those who diverge from each other in both directions (type 1) and those that diverge in one direction but come arbitrarily close to each other in the other direction (type 2). The first type have a minimum positive distance at points on a common perpendicular. The second type have no minimum distance: the distance tends to ...

Metric and periodic lines in the Poincare ball model of hyperbolic geometry

In this paper, we prove that every metric line in the Poincare ball model of hyperbolic geometry is exactly a classical line of itself. We also proved nonexistence of periodic lines in the Poincare ball model of hyperbolic geometry.