2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/58192In this part of the series I show how five-tensors can be used for describing in a coordinate-independent way finite and infinitesimal Poincare transformations in flat space-time. As an illustration, I reformulate the classical mechanics of a perfectly rigid body in terms of the analogs of five-vectors in three-dimensional Euclidean space. I then introduce the notion of the bivector derivative for scalar, four-vector and four-tensor fields in flat space-time and calculate its analog in three-dimensional Euclidean space for the Lagrange function of a system of several point particles in classical nonrelativistic mechanics.Full version of math-ph/9804011, 12 pages, no figures, LaTexMathematical PhysicsGeneral Relativity and Quantum CosmologyHigh Energy Physics - Theorytext