The paper deals with the intrinsic geometry of curves in a pseudo Euclidean 3-space (“Minkowski 3-space”, “pe-space”). Analyzing the instantaneous kinematics of the moving trihedral the authors calculate expressions for the osculating pe-circle, the (hyper)-osculating pe-sphere and the generator of the axoidal surface belonging to a not lightlike (i.e., not isotropic) curve
. The paper is not based on “classical” related references [e.g., O. Giering
, “Vorlesungen über höhere Geometrie” (1982; Zbl 0493.51001
)]. So besides some typos there occur some less usual terms as for example “focal developable” for the surface enveloped by the pe-normal planes of curve
, “binormal indicatrix” for the pe-spherical image of the binormals of
, “hyperbola and concentric pseudo sphere” for a pair of conjugate pe-spheres.