The Triquetra figure
is a good description of the Trinty. It's a symmetrical
arrangement of three separate arcs all needed to make a single whole.
The word 'Trinity' is not found in the Bible, but early Christian thinkers had to make sense of the teaching that the Bible does contain - they therefore had to balance several concepts: (1) There is one, and only one, God yet (2) God is described as 'Father', eg: on several occasions Jesus refers to his 'Father in Heaven' (3) Jesus is described as God's Son, eg: when he was baptised and came up out of the water a voice was heard from heaven saying 'This is my Son' (4) God's Spirit is described separately, eg: when God created the universe, his Spirit was said to 'Hover over the face of the waters' and Jesus said he had to return to heaven in order to send God's Spirit, who would 'Lead you into all truth'. In addition, Jesus said that he is "In the Father and the Father is in me", "If you have seen me you have seen the Father".
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Immediately after Jesus had ascended back to heaven, the Christian church began to be formed; first by the Apostles going out into the world as Jesus had intended and then by their successors. For the first three centuries, several theories were put forward to define how God could be one but at the same time three, Father, Son and Holy Spirit, but each theory was found to have a flaw that failed to take into account all the concepts, so each was declared a heresy
(at odds with conventional belief) until, at a great Council in Nicaea in 325AD when all the bishops were represented and a formula was agreed that satisfies all the facts - the concept of the Trinity. This states that there is only one God who has only one 'substance' but that he comprises three separate 'parts' who are in perfect relationship with each other - a great example to humanity of mutual love and respect.
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