take air 與take the air 意義是否相同?

take air 意為“傳播”、“洩漏”:

Since the matter has already taken air, there is no use trying to hush it up.
既然事情已經傳開, 想隱瞞是無濟於事的。

take the air 意為“呼吸新鮮空氣”:

He sat smoking a pipe and taking the air.
他坐著, 邊抽煙鬥, 邊呼吸新鮮空氣。