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Latin word otium comes from Proto-Indo-European *h₂ew (Again. Away from, off.), Proto-Indo-European *h₂ow-
*h₂ew (Proto-Indo-European)
Again. Away from, off.
*h₂ow- (Proto-Indo-European)
*h₂ewt(i)o- (Proto-Indo-European)
otium (Latin)
Peace, quiet. Time avoiding activity: idleness, inactivity. Time free from activity: leisure.