God in Three Persons
The Christian Church throughout history has found in order to remain faithful to the teachings of the New Testament regarding the person and work of Christ, it had to affirm at least the following doctrines:
The doctrine of the Trinity----that in the nature of the One True God, there are three distinct persons, the Father, the Son, and the Holy Spirit, each fully God, Coequal and Coeternal
When we have said these three things, then—that there is but one God, that the Father and the Son and the Spirit is each a distinct person—we have enunciated the doctrine of the Trinity in its completeness.
We may condense this into a somewhat shorter statement, one which is more precise: In the nature of the God, there are three distinct persons, the Father, the Son, and the Holy Spirit ( or substance ) of the one true God, there are three distinct persons, the Father, the Son, and the Holy Spirit p 24
“The Nicene Creed, then, with centuries of theological discussion and controversy behind it, still teaches of the Trinity as the New Testament does: that the Father, the Son, and the Holy Spirit, while distinct from each other personally, are the same God” p 153
Trinity
first used by Theophilus (A.D. 168 A.D. - 183 A.D.), or from the Lat. trinitas, first used by Tertullian (A.D. 220 A.D.), to express this doctrine. The propositions involved in the doctrine are these: 1. That God is one, and that there is but one God (Deut 6:4; 1 Kings 8:60; Isa 44:6; Mark 12:29,32; John 10:30). 2. That the Father is a distinct divine Person (hypostasis, subsistentia, persona, suppositum intellectuale), distinct from the Son and the Holy Spirit. 3. That Jesus Christ was truly God, and yet was a Person distinct from the Father and the Holy Spirit. 4. That the Holy Spirit is also a distinct divine Person.
(from Easton's Bible Dictionary, PC Study Bible formatted electronic database Copyright © 2003, 2006 Biblesoft, Inc. All rights reserved.)
Homoousios -God- Godhead- Substance- Essence- Being –Nature [ all Synonyms ]
Homoiousios = similar substance (Arius' position)
Homo = same
Homoi = similar
Ousios = substance
One being. Three persons. In other words, one "what" and three "who"s. There is one being, God. There are three persons: God the Father, the Son and the Holy Spirit. The distinction is between being and person. One being, three persons. One what, three who's.
All the Persons of the Holy Trinity are IDENTICAL IN ESSENCE but DISTINCT IN PERSONS
John Ankerberg [Everything You Ever Wanted to know about Mormonism]
Page 104-105
1. There is Only One God
2. The Father is God;
3. Jesus Christ, the Son, is God
4. The Holy Spirit is a Person, is eternal and is therefore God
5. The Father, Son and Holy Spirit are distinct persons.
Webster's Revised Unabridged Dictionary
1. (n.) The union of three persons (the Father, the Son, and the Holy Ghost) in one Godhead, so that all the three are one God as to substance, but three persons as to individuality.
“Within the one Being that is God, there exists eternally three coequal and co-eternal persons, namely, the Father, the Son, and the Holy Spirit.”
(White, James R. “The Forgotten Trinity” (p. 26). Baker Publishing Group. Kindle Edition)
Tim tebow's father is a Christian Evangelist and here is his statement on the Trinity
We believe God is Trinity, which means that He is one God who has eternally existed in three persons, God the Father, God the Son, and God the Holy Spirit. Each one is fully God. God is completely unified in His diversity. All persons of the Trinity are equal , nature, and substance, but they are different in persons. All things are from the Father, through the Son, and by the Holy Spirit. Each person of the Godhead shares all the attributes of God, including eternality, freedom, holiness, righteousness, immutability, omniscience, omnipresence, omnipotence, happiness, wisdom, sovereignty, perfection, goodness, and justice, grace, and mercy. God is holy, which means that he is transcendent over creation. He is the source of life. Nothing exists apart from His sustaining power. Matthew 28:18–19; Mark 12:29; John 1:14; Acts 5:3–4; 2 Corinthians 13:14; Hebrews 1:1–3; Revelation 1:4–6.
http://www.btea.org/whatwebelieve.asp
Hank Hanegraaff, The Complete Bible Answer Book—Collector’s Edition (Nashville: Thomas Nelson, 2008)
While it has become increasingly popular to suggest that the doctrine of the Trinity is derived from pagan sources, in reality, this Christian essential is thoroughly biblical. The word “Trinity”—like “incarnation”— is not found in Scripture; however, it aptly codifies what God has condescended to reveal to us about his nature and being. In short, the Trinitarian platform contains three planks: (1) there is but one God; (2) the Father is God, the Son is God, and the Holy Spirit is God; (3) Father, Son, and Holy Spirit are eternally distinct.
The first plank underscores that there is only one God. Christianity is not polytheistic but fiercely monotheistic. “You are my witnesses, declares the Lord, and my servant whom I have chosen, so that you may know and believe me and understand that I am he. Before me no god was formed, nor will there be one after me” (Isaiah 43:10, emphasis added).
The second plank emphasizes that in hundreds of Scripture passages the Father, Son, and Holy Spirit are declared to be fully and completely God. As a case in point, the apostle Paul says that, “there is but one God the Father” (1 Corinthians 8:6). The Father, speaking of the Son, says, “Your throne, O God, will last forever and forever” (Hebrews 1:8). And when Ananias “lied to the Holy Spirit,” Peter points out that he had “not lied to men but to God” (Acts 5:3–4).
The third plank of the Trinitarian platform asserts that the Father, Son, and Holy Spirit are eternally distinct. Scripture clearly portrays subject/object relationships between Father, Son, and Holy Spirit. For example, the Father and Son love one another, speak to each other (John 17:1–26), and together send the Holy Spirit (John 15:26). Additionally, Jesus proclaims that he and the Father are two distinct witnesses and two distinct judges (John 8:14–18). If Jesus were himself the Father, his argument would have been not only irrelevant but also fatally flawed; and if such were the case, he could not have been fully God.
It is important to note that when Trinitarians speak of one God they are referring to the nature or essence of God. Moreover, when they speak of persons they are referring to personal self-distinctions within the Godhead. Put another way, we believe in one What and three Who’s.
For further study, see James R. White, The Forgotten Trinity (Minneapolis: Bethany House, 2001).
In Mormonism the hierarchy would like us believe Jesus and the Father are the same person

https://i.imgur.com/q9Ldxvj.jpg