It is well known that the SO(32) and E-8 x E-8 heterotic strings can b
e continuously connected to each other in nine dimensions, Since the s
trong-coupling duals of these theories are respectively the SO(32) Typ
e I theory and M-theory compactified on a line segment, there should b
e a corresponding continuous connection between the Type I string and
M-theory. In this paper, we give an explicit construction of this dual
connecting theory. Our construction also enables us to realize the E-
8 x E-8 heterotic string as a D-string soliton of the Type I theory. T
his provides a useful alternative description of the D-brane bound sta
tes previously discussed from a Type I' point of view. (C) 1998 Elsevi
er Science B.V.