Why waste words? Geometry existed before the Creation, is co-eternal with the mind of God, is God himself (what exists in God that is not God himself?): geometry provided God with a model for the Creation and was implanted into man, together with God's own likeness - and not merely conveyed to his mind through the eyes.
Now, as God the maker play'd he taught the game to Nature whom he created in his image; taught her the selfsame game which he played to her.