  We report in a series of papers two types of generalized Migdal-Kadanoff
bond-moving renormalization group transformation recursion procedures. In this
first part the symmetrical operation of half length bonds on translational
invariant lattices are considered. As an illustration of their predominance in
application, the procedures are used to study the critical behavior of the
spin-continuous Gaussian model constructed on the triangular lattices. Results
such as the correlation length critical exponents obtained by this means are
found to be in good conformity with the classical results from other studies.
