Er, you are more than welcome to try to define it, solely based on Scriptures, as it was defined by 341 AD. I really want to see that work!
Trinity was defined before the Bible was fully assembled. Individual Gospels and wiritngs were known to a few people, but most of the teaching was done by oral tradition.
There were almost one thousand bishops around at the time Tirnity was defined and redefined within the first half of the 4th century. Surely, you don't think they all had copies of the yet unpublished Bible in order to forumate the concept of Trinity.
The full concept of Trinity was completed and defined by the Synod of Bishops (first two Ecumenical Councils), as we know it today (without the Latin Filioque) some 50 years before the Bible was canonized by the Church.
I think there is a distinct difference when the Church as a hole agrees to a doctrine as opposed to some offshoot of an offshoot.
What the church canonized as scripture means nothing to me.
The " assembling" of the books means nothing to me. It is the information with in the gospels and the letters that interest me .
All authority in heaven and on earth has been given to me. Therefore go and make disciples of all nations, baptizing them in the name of the Father and of the Son and of the Holy Spirit [Matthew 28:19].
May the grace of the Lord Jesus Christ, and the love of God, and the fellowship of the Holy Spirit be with you all [2 Corinthians 13:14].
To God’s elect. . .who have been chosen according to the foreknowledge of God the Father, through the sanctifying work of the Spirit, for obedience to Jesus Christ and sprinkling by his blood [1 Peter 1:1-2].
Now there are varieties of gifts, but the same Spirit. 5And there are varieties of ministries, and the same Lord. 6And there are varieties of effects, but the same God who works all things in all persons.1 Cor. 12:4-6
There is one body and one Spirit, just as also you were called in one hope of your calling; 5one Lord, one faith, one baptism, 6one God and Father of all who is over all and through all and in all. 7But to each one of us grace was given according to the measure of Christ’s gift.Eph. 4:4-7,
"But you, beloved, building yourselves up on your most holy faith; praying in the Holy Spirit; 21keep yourselves in the love of God, waiting anxiously for the mercy of our Lord Jesus Christ to eternal life.Jude 20-21,
The word Godhead is used three times in the KJV Acts 17:29, Romans 1:20, Colossians 2:9..
The Bible says there is only one God. Yet, it says Jesus is God (Is. 9:6-7;) (John 1:1,14) (Heb 1:8); it says the Father is God ( Romans 1:17& 20) (Phil. 1:2); and it says the Holy Spirit is God (Acts 5:3-4). Since the Son speaks to the Father, they are separate persons. Since the Holy Spirit speaks also (Acts 13:2), He is a separate person. There is one God who exists in three persons