Morley’s triangles of a triangle in the isotropic plane

In this paper we define and study Morley’s triangles of a triangle in the isotropic plane. We derive the equations of angle trisectors of angles of the standard triangle in the isotropic plane, and utilizing them we get the coordinates of vertices of Morley’s triangles of the standard triangle. We investigate relationships between Morley’s triangles and the initial triangle, as well as connections with some other triangle elements in the isotropic plane. Finally, we consider some dual concepts of the introduced concepts.