摘要:In this paper, we examine the Jeřabek hyperbola of an allowable triangle in an isotropic plane. We investigate different ways of generating this special hyperbola and derive its equation in the case of a standard triangle in an isotropic plane. We prove that some remarkable points of a triangle in an isotropic plane lie on that hyperbola whose centre is at the Feuerbach point of a triangle. We also explore other interesting properties of this hyperbola and its connection with some other signicant elements of a triangle in an isotropic plane.
关键词:allowable triangle; standard triangle; Jeřabek hyperbola