(1) by appearing to them, being manifested to their understandings
(2) in communicating himself to their hearts, and in their rejoicing and delighting in, and enjoying the manifestations which he makes of himself.
They both of them may be called his glory in the more extensive sense of the word, viz. his shining forth, or the going forth of his excellency, beauty and essential glory ad extra.
By one way it goes forth towards their understandings; by the other it goes forth towards their wills or hearts. God is glorified not only by his glory’s being seen, but by its being rejoiced in, when those that see it delight in it: God is more glorified than if they only see it; his glory is then received by the whole soul, both by the understanding and by the heart.
God made the world that he might communicate, and the creature receive, his glory, but that it might [be] received both by the mind and heart. He that testifies his having an idea of God’s glory don’t glorify God so much as he that testifies also his approbation of it and his delight in it.
Both these ways of God’s glorifying himself come from the same cause, viz. the overflowing of God’s internal glory, or an inclination in God to cause his internal glory to flow out ad extra. What God has in view in neither of them, neither in his manifesting his glory to the understanding nor communication to the heart, is not that he may receive, but that he [may] go forth: the main end of his shining forth is not that he may have his rays reflected back to himself, but that the rays may go forth.
Jonathan Edwards , The "Miscellanies": (Entry Nos. a-z, aa-zz, 1-500) (WJE Online Vol. 13) , Ed. Harry S. Stout