2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/50019A proof is given for the observation that the equations of motion for the companion Lagrangian without a square root, subject to some constraints, just reduce to the equations of motion for the companion Lagrangian with a square root in one less dimension. The companion Lagrangian is just an extension of the Klein-Gordon Lagrangian to more fields in order to provide a field description for strings and branes.7 pages, LaTeX, no figuresHigh Energy Physics - Theorytext