色几何学
Chromogeometry
摘要：
色几何学将欧几里德几何学（称为蓝色）和两种相对论几何学（称为红色和绿色）结合在一起，形成了一种令人惊讶的三重对称。我们展示了红色和绿色的“欧拉线”和“九点圆”的三角形与通常的蓝色相互作用，以及三个正交中心如何形成一个相关的三角形有趣的共线性。这是在有理三角学的框架中开发的，使用四边形和展开代替距离和角度。前者更适合于相对论几何。
英文摘要：
Chromogeometry brings together Euclidean geometry (called blue) and two relativistic geometries (called red and green), in a surprising three-fold symmetry. We show how the red and green `Euler lines' and `nine-point circles' of a triangle interact with the usual blue ones, and how the three orthocenters form an associated triangle with interesting collinearities. This is developed in the framework of rational trigonometry using quadrance and spread instead of distance and angle. The former are more suitable for relativistic geometries.
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