The geometry of the hyperbolic plane has been an active and fascinating field of mathematical inquiry for most of the past two centuries.. Hyperbolic geometry was created in the first half of the nineteenth century in the midst of attempts to understand euclid’s axiomatic basis for geometry.
Hyperbolic geometry was created in the rst half of the nineteenth century in the midst of attempts to understand euclid’s axiomatic basis for geometry.. In this book, the rich geometry of the hyperbolic plane is studied in detail, leading to the focal point of the book, poincare's polygon theorem and the relationship between hyperbolic geometries and discrete.