Ezekiel 42:12

42:12 were the chambers which were toward the south. There was an opening at the head of the passage, the passage in front of the corresponding wall toward the east when one enters.

Ezekiel 46:9

46:9 “‘When the people of the land come before the Lord at the appointed feasts, whoever enters by way of the north gate to worship will go out by way of the south gate; whoever enters by way of the south gate will go out by way of the north gate. No one will return by way of the gate they entered but will go out straight ahead.