Circles, Spheres and Spherical Geometry

Discover the intriguing world of geometry with Circles, Spheres and Spherical Geometry by Hiroshi Maehara. Published by Birkhauser Verlag AG in 2024, this hardback edition spans 336 pages and delves deep into advanced geometric concepts. This comprehensive work meticulously explores orthogonal-cycle representations of quadrangulations, offering detailed insights into significant theorems including the Brightwell-Scheinerman theorem, an extension of the renowned Koebe-Andreev-Thurston theorem. Additionally, the book covers Newton’s 13-balls problem and Casey’s theorem, which extends Ptolemy’s theorem, along with its various generalizations. Perfect for mathematicians and geometry enthusiasts alike, this book is an essential addition to your library. Enhance your understanding of spherical geometry and its applications with this expertly crafted resource.