presuming

Now, presuming that the source of the crime is as we suspect it to be, there might be two different motives.

Douglas, presuming that they are not the actual murderers, could have been doing from quarter to eleven, when the sound of the shot brought them down, until quarter past eleven, when they rang the bell and summoned the servants.

Or could the chief have given West the slip in the fog, and West started at once to London to head him off from his own rooms, presuming that he knew where the rooms were?

“Presuming that it is an appointment,” continued the Inspector, “it is of course a conceivable theory that this William Kirwan—though he had the reputation of being an honest man, may have been in league with the thief.