A tooling system, such as an additive manufacturing system, includes a tool displacement mechanism mounted on a fixed structure and carrying a system tool such as a printhead. The tool displacement mechanism displaces the system tool along a curvilinear closed path about a system axis and located within a working plane intersecting the system axis. A bed, connecting to the fixed structure, is substantially positioned within the working plane, locally adjacent the closed path and along at least a portion of the closed path.