The structure of analogy through metaphors

A psychologist by the name of Julian Jaynes developed a scheme to understand how the process of analogizing works. It looks to me that Aristotle and others already proposed the same thing some 2000 years before him, in their equation-like reasoning. But Jaynes assigned some labels. Here it goes:

Example: the snow blankets the ground. That is: the snow "lays thoroughly and completely" (metaphrand) upon the ground, much like a blanket (metaphier) covers smoothly (paraphier) a bed. So the act of the snow 'covering' is equated and thus explained by the paraphier.