'Center' in the Bible

They went up to the town, and as they were coming to the center of the town, Samuel was coming out to meet them, on his way up to the high place.

Should anyone rise up to pursue you and to seek your life, then the life of my lord will be bound in the [precious] bundle of the living with the Lord your God; but the lives of your enemies—those He will hurl out as from the center of a sling.