1. The problem statement, all variables and given/known data the question is that there is a particle in 3 spatial Euclidean dimensions in cylindrical coordinates. I want to find a symmetry for the lagrangian if the potential energy is function of r and k.theta+z V=V(r,k.theta+z) 2. Relevant equations k is constant L=T-V T is kinetic energy 3. The attempt at a solution i tried to find translational symmetry r --> r+s theta --> theta-s/k im not sure any help please ?