Analytical solutions for the steady-state ground heat loss for buildings with only perimeter insulations are derived. Interior and exterior edge insulations are treated in detail. A number of asymptotic solutions are presented. The two-dimensional case considered, accounts for adiabatic edge insulations with varying tilting angle and width. As a special case the non-insulated ground floor, with the wall area as the only protecting zone, can be handled. The optimal combination of tilting angle and insulation width is presented.