'Though' in the Bible

But when you saw that Nahash, king of the Ammonites, was coming to fight you, you told me, "No, let a king rule over us instead,' even though the LORD your God was your king.

So Samuel replied, "Is it not true that though you were small in your own eyes you became head of the tribes of Israel, and the LORD anointed you king over Israel?

I'll shoot three arrows to the side of the rock as though I were shooting at a target.

Looke, my father, look! The corner of your robe is in my hand. Indeed, by my cutting off the corner of your robe and not killing you, you may know and understand that I have no evil intent or transgression I haven't wronged you, even though you are hunting me to take my life.

to David, "You are more righteous than I am, because you have treated me well even though I've treated you poorly.