  Via the MC-algorithm, in this paper we produce seven continued fraction
formulae involving products and quotients of three gamma functions with three
parameters, and another is an extension of Entry 34 in Chapter 12 of
Ramanujan's second notebook. Five of them will be proved rigorously by the
Bauer-Muir transformation. A crucial ingredient in the proofs of our five
theorems is to employ the Bauer-Muir transformation twice with different
nonlinear modifying factors.
