# The Poincaré Half-plane: A Gateway to Modern Geometry

Jones & Bartlett Learning, Jan 1, 1993 - Mathematics - 298 pages
The Poincare Half-Planeprovides an elementary and constructive development of this geometry that brings the undergraduate major closer to current geometric research. At the same time, repeated use is made of high school geometry, algebra, trigonometry, and calculus, thus reinforcing the students' understanding of these disciplines as well as enhancing their perception of mathematics as a unified endeavor.

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### Contents

 EUCLIDEAN RIGID MOTIONS 35 INVERSIONS 51 THE HYPERBOLIC PLANE 63 EUCLIDEAN VERSUS HYPERBOLIC GEOMETRY 79 THE ANGLES OF THE HYPERBOLIC TRIANGLE 93 HYPERBOLIC AREA 109 THE TRIGONOMETRY OF THE HYPERBOLIC 119 The general hyperbolic triangle 125
 A review of lengths and areas on surfaces 190 Gausss formula for the curvature at a point 196 Exercises 205 The unit disk model and its flow diagrams 213 Explicit rigid motions of the unit disk model 221 Regular tesselations of the unit disk model 228 A BRIEF HISTORY OF NONEUCLIDEAN 247 Exercises 254

 COMPLEX NUMBERS AND RIGID MOTIONS 131 ABSOLUTE GEOMETRY AND THE ANGLES 161 DIFFERENTIAL GEOMETRY AND GAUSSIAN 183
 APPPENDIX 277 BIBLIOGRAPHY 293 Copyright

### References from web pages

Poincaré half-plane model - Wikipedia, the free encyclopedia
en.wikipedia.org/ wiki/ Poincar%C3%A9_half-plane_model

Suggestions for non-euclidean geometry (analytical) books?
The Poincaré Half-Plane - A Gateway to Modern Geometry by Saul Stahl. The latter, as the title denotes, deals with the half plane, and has limited content ...

Annotated Bibliography
Annotated Bibliography. This bibliography consists of books (and other items) that are referenced in this book, books used in the writing this book, ...
www.math.cornell.edu/ ~dwh/ books/ eg00/ 00EG-biblio/

Geometry
Cover: Euclidean and Transformational Geometry: A Deductive Inquiry · Euclidean and Transformational Geometry: A Deductive Inquiry Shlomo Libeskind ...
www.jbpub.com/ math/ geometry/

Stahl Saul | English Bookstore in Czech Republic
The Poincare Half-Plane; Introduction To Topology And Modern Geometry
www.bookfayre.cz/ books/ name/ saul_stahl.1047147.html.cs

The Poincare Half-Plane - Boek - BESLIST.nl
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