Trinity

“God, The Father” From Dictionary of Biblical Words:

is one of the three characters in which the triune God is revealed in the New Testament; the Father is the One who wills (Heb. s.), who counsels all, and who as Father directs the Son. It is the Son alone who does or can reveal Him, for He only as man knows Him. There is no evidence that God the Father, as such, can ever be seen save in the Son; on the contrary, “He that hath seen me hath seen the Father.” This title of “Father” it is the high privilege of Christians to use.

“God the Son” From Dictionary of Biblical Words:

The revealer of the Father. Coequal and co-eternal with Him, in glory and position, but subordinate in the perfect relationship of a Son with a Father, made also man, He was perfectly dependent. He is the One who carries out all the Father’s will and counsels in relation to the earth. The Creator, Jehovah, God Almighty, the Man Christ Jesus, the King of the Jews, the Head of the Church, and the Judge of all, the Son is thus the theme of all Scriptures, and His manifold glories fill every sphere, from the manger and the Cross, to the eternal glory from everlasting to everlasting (see TRINITY).

“God the Spirit” From Dictionary of Biblical Words:

The agent in manifesting the triune God, the one by whose power the Son carries out the Father’s will. Thus, “If I by the Spirit of God cast out devils.” Also, the Father is revealed, the Son reveals, the Spirit quickens and makes known. He is the quickening power in the new creation, as in the old. He was sent to earth by the Son on His return to heaven to be in and with believers till His return. By Him we are born again and sealed.

“Trinity” From Dictionary of Biblical Words:

Short for tri-unity, or three in one, and refers to the revelation of God peculiar to Christianity, (being never clearly revealed till Christ carne), of Father, Son, and Holy Ghost. Looked at generally, it may be said that it is God the Father who wills, the Son who carries out the will by the agency of the Spirit; but all are one God, though thus known not only in three characters, but in three persons. The Son alone has a body, God the Father, and the Holy Ghost are spirit.

Concise Bible Dictionary:

A word only used to convey the thought of a plurality of Persons in the Godhead. This was revealed at the baptism of the Lord Jesus. The Holy Spirit descended “like a dove” and abode upon Him; and God the Father declared “This is My beloved Son in whom I am well pleased.” That the Father is a distinct Person and is God is plainly stated, as in John 20:17¹⁷Jesus saith unto her, Touch me not; for I am not yet ascended to my Father: but go to my brethren, and say unto them, I ascend unto my Father, and your Father; and to my God, and your God. (John 20:17). Many passages prove that the Lord Jesus is God: one will suffice: “in His Son Jesus Christ. This is the true God, and eternal life” (1 John 5:20²⁰And we know that the Son of God is come, and hath given us an understanding, that we may know him that is true, and we are in him that is true, even in his Son Jesus Christ. This is the true God, and eternal life. (1 John 5:20)). That the Holy Spirit is a Person and is God the following passages clearly prove (Gen. 1:2²And the earth was without form, and void; and darkness was upon the face of the deep. And the Spirit of God moved upon the face of the waters. (Genesis 1:2); Matt. 4:1¹Then was Jesus led up of the Spirit into the wilderness to be tempted of the devil. (Matthew 4:1); John 16:13¹³Howbeit when he, the Spirit of truth, is come, he will guide you into all truth: for he shall not speak of himself; but whatsoever he shall hear, that shall he speak: and he will show you things to come. (John 16:13); Acts 10:19¹⁹While Peter thought on the vision, the Spirit said unto him, Behold, three men seek thee. (Acts 10:19); Acts 13:2,4²As they ministered to the Lord, and fasted, the Holy Ghost said, Separate me Barnabas and Saul for the work whereunto I have called them. (Acts 13:2)
⁴So they, being sent forth by the Holy Ghost, departed unto Seleucia; and from thence they sailed to Cyprus. (Acts 13:4); Acts 20:28²⁸Take heed therefore unto yourselves, and to all the flock, over the which the Holy Ghost hath made you overseers, to feed the church of God, which he hath purchased with his own blood. (Acts 20:28); Rom. 15:30³⁰Now I beseech you, brethren, for the Lord Jesus Christ's sake, and for the love of the Spirit, that ye strive together with me in your prayers to God for me; (Romans 15:30); 1 Cor. 2:10¹⁰But God hath revealed them unto us by his Spirit: for the Spirit searcheth all things, yea, the deep things of God. (1 Corinthians 2:10)). The three Persons are also named in the formula instituted by Christ in baptism (Matt. 28:19¹⁹Go ye therefore, and teach all nations, baptizing them in the name of the Father, and of the Son, and of the Holy Ghost: (Matthew 28:19)). Yet there is but one God (1 Tim. 2:5⁵For there is one God, and one mediator between God and men, the man Christ Jesus; (1 Timothy 2:5)). Satan will have an imitation of the Trinity in the Roman beast, the false prophet, and himself (Rev. 13:4,11⁴And they worshipped the dragon which gave power unto the beast: and they worshipped the beast, saying, Who is like unto the beast? who is able to make war with him? (Revelation 13:4)
¹¹And I beheld another beast coming up out of the earth; and he had two horns like a lamb, and he spake as a dragon. (Revelation 13:11); Rev. 20:10¹⁰And the devil that deceived them was cast into the lake of fire and brimstone, where the beast and the false prophet are, and shall be tormented day and night for ever and ever. (Revelation 20:10)).