  NDIM (Negative Dimensional Integration Method) is a technique for evaluating
Feynman integrals based on the concept of analytic continuation. The method has
been successfully applied to many diagrams in covariant and noncovariant gauge
field interactions and has shown its utility as a powerful technique to handle
Feynman loop integrations in quantum field theories. In principle NDIM can
handle any loop calculation; however, in practical terms, the resulting
multiseries with several variables in general cannot be summed up conveniently
and its analytic properties are generally unknown.
  The alternative then is to use order by order (loop by loop) integration in
which the first integral is of the triangle diagram type. However, the
na\"{i}ve momentum integration of this leads to wrong results. Here we use the
shortened version for the triangle in NDIM that is suitable for a loop by loop
calculation and show that it leads (after appropriate analytic continuation to
positive dimension) to agreement with the known result for the two-loop master
diagram. From it, a three-loop is then calculated and shown again its
consistency with the already published result for such a diagram.
