done according to the rules
as it should be
honestly and legitimately
with perfect accuracy
no cheating or lying involved
The supporters for the other team were angry but we won the game fair and square.
We picked the lottery numbers at random and won fairly and squarely.
Steve hit the pheasant fair and square. Smack in the middle of the windscreen.
The opponent punched him fair and square in the chest.
The politicians voted the bill through fairly and squarely last night.
There is no origin for this idiom
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definition
Common phrase that has a specific meaning.