'Private' in the Bible

In the flesh of your private parts you are to undergo it, as a mark of the agreement between me and you.

And Abraham took Ishmael, his son, and all whose birth had taken place in his house, and all his servants whom he had made his for a price, every male of his house, and on that very day he gave them circumcision in the flesh of their private parts as God had said to him.

Then Judah approached him, and said, “O my lord, please let your servant say a word to you in private, and do not let your anger blaze against your servant, for you are equal to Pharaoh [so I speak as if directly to him].