The present work deals with the study of special categories of normal recti
linear congruences whose focal surfaces are minimal and the solution to the
problem is in the form of the membrane surface [3], but also, of the way o
f its supporting, at points beyond its perimeter, that exist. The method ap
plied deals with fundamental elements of the Differential Geometry and more
precisely, with the theory of normal rectilinear congruence C.