Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 51, No. 2, pp. 519529 (2010) 

Limits along lines with common ends in Hyperbolic GeometryD. Ruoff and J. ShilletoDrusbergstr. 17, 8810 Horgen, Switzerland; 3440 Yosemite Ave, El Cerrito, CA, USA 94530Abstract: Let $P$ be a point outside a pair $a, b$ of boundary parallel lines in the hyperbolic plane, and consider the lengths of the segments that are collinear with $P$ and join $a$ with $b$. The limit length of these segments is determined in a new, elementary way, and the variation of lengths is found using coordinates developed from Hilbert's Arithmetic of Ends. Classification (MSC2000): 51M09, 51M10 Full text of the article (for subscribers):
Electronic version published on: 24 Jun 2010. This page was last modified: 8 Sep 2010.
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