I was trying to catch some sense of the Mystery of the Trinity, Mystery as in deeper than we can ever imagine. I was going to say that for us to explain the Trinity is like trying to explain the concept of blue to a person blind since birth. I opted for the other metaphor because while a totally blind person apparently has no idea about sight, I assume most deaf people have some inkling of sound since many can feel vibrations.
From the Catechism:
253 The Trinity is One. We do not confess three Gods, but one God in three persons, the "consubstantial Trinity". The divine persons do not share the one divinity among themselves but each of them is God whole and entire: "The Father is that which the Son is, the Son that which the Father is, the Father and the Son that which the Holy Spirit is, i.e. by nature one God." In the words of the Fourth Lateran Council (1215), "Each of the persons is that supreme reality, viz., the divine substance, essence or nature."
234 The mystery of the Most Holy Trinity is the central mystery of Christian faith and life. It is the mystery of God in himself. It is therefore the source of all the other mysteries of faith, the light that enlightens them. It is the most fundamental and essential teaching in the "hierarchy of the truths of faith". The whole history of salvation is identical with the history of the way and the means by which the one true God, Father, Son and Holy Spirit, reveals himself to men "and reconciles and unites with himself those who turn away from sin".
480 Jesus Christ is true God and true man, in the unity of his divine person; for this reason he is the one and only mediator between God and men.
469 The Church thus confesses that Jesus is inseparably true God and true man. He is truly the Son of God who, without ceasing to be God and Lord, became a man and our brother:
"What he was, he remained and what he was not, he assumed", sings the Roman Liturgy. And the liturgy of St. John Chrysostom proclaims and sings: "O only-begotten Son and Word of God, immortal being, you who deigned for our salvation to become incarnate of the holy Mother of God and ever-virgin Mary, you who without change became man and were crucified, O Christ our God, you who by your death have crushed death, you who are one of the Holy Trinity, glorified with the Father and the Holy Spirit, save us!"
http://www.scborromeo.org/ccc.htmSo that's the official teaching, which is very clear that Jesus is both God and Man.
I think when we try to get too precise with words in discussing the Trinity, we get farther from the truth. I prefer to use imagery myself, but then that's me. Perhaps music might be a better medium.
Edit - here is the Creed - the core beliefs of the Church from the Council of Nicaea of 325. this Council was a gathering of all the bishops called together by the Roman Emperor Constantine to settle the question of the nature of Jesus. It is recited at every Mass:
We believe in one God,
the Father, the Almighty
maker of heaven and earth,
of all that is, seen and unseen.
We believe in one Lord, Jesus Christ,
the only Son of God,
eternally begotten of the Father,
God from God, Light from Light,
true God from true God,
begotten, not made,
of one Being with the Father.
Through him all things were made. For us men and for our salvation
he came down from heaven:
by the power of the Holy Spirit
he became incarnate from the Virgin Mary, and was made man.
For our sake he was crucified under Pontius Pilate;
he suffered death and was buried.
On the third day he rose again
in accordance with the Scriptures;
he ascended into heaven
and is seated at the right hand of the Father.
He will come again in glory to judge the living and the dead,
and his kingdom will have no end
We believe in the Holy Spirit, the Lord, the giver of Life,
who proceeds from the Father and the Son.
With the Father and the Son he is worshiped and glorified.
He has spoken through the Prophets.
We believe in one holy catholic and apostolic Church.
We acknowledge one baptism for the forgiveness of sins.
We look for the resurrection of the dead,
and the life of the world to come. Amen.