John Gill expounds on the distinct personal relations within the Trinity, emphasizing that the Father, Son, and Holy Spirit are three distinct Persons, each with unique properties that define their relationships. He argues against modalism and asserts that the distinctions are not merely nominal or based on their works but are rooted in their eternal nature. The Father is characterized by begetting, the Son by being begotten, and the Spirit by proceeding from the other two, establishing a necessary and eternal relationship among them. Gill highlights that these distinctions are essential for understanding the nature of God and the doctrine of the Trinity, which is foundational to Christian faith.