Examples:

• The stuntman flew the aircraft upside-down within a hair's breadth of the rooftops.
• After wandering around the forest for an hour thinking we were lost, it turned out that we were only a hair's breadth away from our campsite.
• It was he who urged the Hungarian cabinet not to depart a hair's-breadth from their legitimate position.
• His finger was within a hair's breadth of touching the alarm.
• As if that money could add a hair's breadth to happiness or peace of mind.
• He came within a hair's breadth of winning the race.
• He tried to get away from them, but they would not for an instant let his shoulder move a hair's breadth.
• She came within a hair's breadth of losing her life.