Ebook: Hyperbolic triangle centers: The special relativistic approach
Author: Ungar Abraham A
- Genre: Physics
- Tags: Geometry Hyperbolic., Special relativity (Physics), Mathematics.
- Series: Fundamental Theories of Physics 166
- Year: 2010
- Publisher: Springer
- City: Dordrecht
- Language: English
- pdf
After A. Ungar had introduced vector algebra and Cartesian coordinates into hyperbolic geometry in his earlier books, along with novel applications in Einstein's special theory of relativity, the purpose of his new book is to introduce hyperbolic barycentric coordinates, another important concept to embed Euclidean geometry into hyperbolic geometry. It will be demonstrated that, in full analogy to classical Read more...
Abstract: After A. Ungar had introduced vector algebra and Cartesian coordinates into hyperbolic geometry in his earlier books, along with novel applications in Einstein's special theory of relativity, the purpose of his new book is to introduce hyperbolic barycentric coordinates, another important concept to embed Euclidean geometry into hyperbolic geometry. It will be demonstrated that, in full analogy to classical mechanics where barycentric coordinates are related to the Newtonian mass, barycentric coordinates are related to the Einsteinian relativistic mass in hyperbolic geometry. Contrary to gener