Where does the title "North By Northwest" come from?

Wikipedia wrote:: The title North by Northwest is a subject of debate. Many have seen it[citation needed] as having been taken from a line ("I am but mad north-north-west: when the wind is southerly I know a hawk from a handsaw") in Hamlet, a work also concerned with the shifty nature of reality.[60] Hitchcock noted, in an interview with Peter Bogdanovich in 1963, "It's a fantasy. The whole film is epitomized in the title—there is no such thing as north-by-northwest on the compass."[61] ("Northwest by north", however, is one of 32 points of the compass.) Lehman states that he used a working title for the film of "In a Northwesterly Direction", because the film's action was to begin in New York and climax in Alaska. Then the head of the story department at MGM suggested "North by Northwest", but this was still to be a working title. Other titles were considered, including "The Man on Lincoln's Nose", but "North by Northwest" was kept because, according to Lehman, "We never did find a [better] title."[16] The Northwest Airlines reference in the film plays on the title.