## Hyperbolic Geometry

###
J. W. Cannon, W. J. Floyd, R. Kenyon, and W. R. Parry

July 1996

### Abstract

These notes are intended as a relatively quick introduction to
hyperbolic
geometry. They review the wonderful history of non-Euclidean geometry.
They give five different analytic models for and several combinatorial
approximations
to non-Euclidean geometry by means of
which the reader can develop an intuition for the behavior of this
geometry. They develop a number of the properties of this geometry which
are particularly important in topology and group theory. They indicate
some of the fundamental problems being approached by means of
non-Euclidean geometry in topology and group theory.
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