2,832 research outputs found
Hyperbolic plane geometry revisited
Using the method of C. V\"or\"os, we establish results in hyperbolic plane
geometry, related to triangles and circles. We present a model independent
construction for Malfatti's problem and several trigonometric formulas for
triangles.Comment: 21 pages 6 figure
Formulas on hyperbolic volume
This paper collects some important formulas on hyperbolic volume. To
determine concrete values of volume function is a very hard question requiring
the knowledge of various methods. Our goal to give a non-elementary integral on
the volume of the orthosceme (obtain it without using the Schl\"afli
differential formula), using edge-lengthes as the only parameters.Comment: 7 figure
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