Geometry and topology

On some aspects of a hyperbolic tangential quadrilateral

M. P. Limonov

Sobolev Institute of Mathematics, pr. Koptyuga, 4, 630090, Novosibirsk, Russia

Abstract: Previously Martin Josefsson obtained certain properties of a tangential quadrilateral in terms of distances from the four vertices to the points of tangency. We consider the hyperbolic analogue of these properties. For the sake of clarity, most assertions are followed by the Euclidean case.

Keywords: hyperbolic tangential quadrilateral, tangent lengths.

UDC: 514.132

MSC: 51M10

Received December 22, 2012, published June 3, 2013

Language: English