The generic Mobius transformation of the complex open unit disc induces a binary operation in the disc, called the Mobius addition. Following its introduction, ẗhe extension of the Mobius addition to the ball of any real inner product space änd the scalar multiplication that it admits are presented,
The Hyperbolic Pythagorean Theorem in the Poincare Disc Model of Hyperbolic Geometry
✍ Scribed by Abraham A. Ungar
- Book ID
- 121322499
- Publisher
- Mathematical Association of America
- Year
- 1999
- Tongue
- English
- Weight
- 437 KB
- Volume
- 106
- Category
- Article
- ISSN
- 0002-9890
- DOI
- 10.2307/2589022
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📜 SIMILAR VOLUMES
Hyperbolic trigonometry is developed and illustrated in this article along lines pa+lel to Euclidean trigonometry by exposing the hyperbolic trigonometric law of cosines and of sines in the Poincarb ball model of n-dimensional hyperbolic geometry, as well as their application. The Poincarb ball mode
## Abstract Let \documentclass{article}\usepackage{amssymb,amsmath,amsthm,amscd,amsxtra}\begin{document}\pagestyle{empty}$\mathbb {H}^n$\end{document} be the __n__‐dimensional hyperbolic space. It is well‐known that, if \documentclass{article}\usepackage{amssymb,amsmath,amsthm,amscd,amsxtra}\begin{