If a person escapes from some danger by a hair's breadth, they only just managed to avoid it. The breadth is the thickness of a hair, so they probably feel somewhat lucky because the margin between success and what could easily have been failure was so close.
If you miss, lose, win, etc, something by a mile, there is a considerable difference in standard oir performance between you and the others. ('By miles' is also used.)
A term used by rural folks in years past to emphasize a matter of importance or urgency. An example: 'By cracky, you need to get out there in the field with that mule and plow and finish the sod-busting before dark.'
If someone applies the same rule to different situations, they judge them by the same token:
If things go well, he's full of praise, but, by the same token, when things go wrong he gets furious.
If something becomes known by word of mouth, it gets known by being talked about rather than through publicity or advertising, etc.
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