关于闵科夫斯基时空中平面三角形的说明

arXiv - PHYS - Classical Physics Pub Date : 2024-08-07 DOI:arxiv-2408.03898

Yan Cao

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摘要

二维闵科夫斯基时空$\mathbb{R}^{1,1}$（或闵科夫斯基平面）的几何与我们更熟悉的欧几里得平面几何相似，但又有本质区别。本论文将对闵科夫斯基平面上三角形的一些基本性质进行基本讨论。特别是，我们证明费尔巴哈定理也成立，并指出了入心/出心的用法。

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Notes on the planar triangles in Minkowski spacetime

The geometry of 2D Minkowski spacetime $\mathbb{R}^{1,1}$ (or Minkowski plane) is similar but fundamentally different from the more familiar Euclidean plane geometry. This note gives an elementary discussion on some basic properties of a triangle on the Minkowski plane. In particular, we show that the theorem of Feuerbach also holds and a use of the incenter/excenters is pointed out.

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arXiv - PHYS - Classical Physics

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