In this paper, we examine the Jerabek 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 significant elements of a triangle in an isotropic plane.; U radu proučavamo Jerabekovu hiperbolu dopustivog trokuta u izotropnoj ravnini. Istražujemo različite načine generiranja ove specijalne hiperbole i izvodimo njenu jednadžbu u slučaju standardnog trokuta. Dokazujemo da neke značajne točke trokuta u izotropnoj ravnini leže na toj hiperboli čiji je centar u Feuerbachovoj točki trokuta. Proučavamo i neka druga zanimljiva svojstva ove hiperbole i njezinu vezu s nekim značajnim elementima trokuta u izotropnoj ravnini.