The continuant referred to is that in which the elements of the main diagonal are all equal (to x, say), the elements of the one minor diagonal all equal (to b, say), and the elements of the other minor diagonal all equal (to c, say). It may be denoted by F(b, x, c, n) when it is of the nth order. Professor Wolstenholme has recently given two elegant theorems regarding the condensation of F(1, x, 1, n). I wish to establish the analogous theorems for F(b, x, c, n).