书目名称 | Hyperbolic Triangle Centers | 副标题 | The Special Relativi | 编辑 | A.A. Ungar | 视频video | | 概述 | Continuation of A. Ungar successful work on hyperbolic geometry, now with introduction of hyperbolic barycentric coordinates.Proves how, contrary to general belief, Einstein’s relativistic mass meshes | 丛书名称 | Fundamental Theories of Physics | 图书封面 |  | 描述 | 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 general belief, Einstein’s relativistic mass hence meshes up extraordinarily well with Minkowski’s four-vector formalism of special relativity.In Euclidean geometry, barycentric coordinates can be used to determine various triangle centers. While there are many known Euclidean triangle centers, only few hyperbolic triangle centers are known, and none of the known hyperbolic triangle centers has been determined analytically with respect to its hyperbolic triangle vertices. In his recent research, the author set the ground for investigating hyperbolic triangle centers via hyperbolic barycentric coord | 出版日期 | Book 2010 | 关键词 | Application special relativity; Barycentric coordinates; Examining hyperbolic triangle center; Four-vec | 版次 | 1 | doi | https://doi.org/10.1007/978-90-481-8637-2 | isbn_softcover | 978-94-007-3265-0 | isbn_ebook | 978-90-481-8637-2Series ISSN 0168-1222 Series E-ISSN 2365-6425 | issn_series | 0168-1222 | copyright | Springer Science+Business Media B.V. 2010 |
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