Applied Physics and Mathematics Annotation << Back THE GROUP OF SYMMETRY OF PLANE CURVES M.I. GORFINKEL Under changes and transforming of objects some of their characteristics vanish while other properties reserve but the third ones appear. The greatest stability to changes have statutes according to which equations of plane curves are analyses. Analyses as laws plane curves equations remain unchanged under admissible transformations. Plane curves (coordinates x, y) are transformed to the surfaces (coordinates x, y, z) .equations of curves are preserved, but their parameters are changed which the value that is proportional to z. The plane curves invariant relative to the transformation of the system of coordinates and creates the group of symmetry. The group of symmetry – the unity of oppositions: this is the unity of preserving equations on the surface and in the space, from one side, and changing of difference of parameters of these equations, from the other side. The limited turn z0 surfaces into initial plane curves. Key words: invariant, transformation of coordinates, surface, unity of oppositions. Contacts: E-mail: cancel@baa.by Pp. 57-58.