It is well known since the work of B. Snell that the Homeric model of comparison inspired Empedocles. What is striking in the Homeric comparison is the rigor of the elaborate elaboration of details which sometimes leads to neglect the overall unity. The Homeric comparison is not an identification and never identifies the thing compared with its model but juxtaposes them, sometimes up to enigma (e.g. Iliad, XVII 520-524). Homeric comparison deals with morphogenetic processes not with subjects and attributes. For Homer, it is less a question of bringing together different orders of reality than of eliciting a second reading of the narrative, creating an effect of counter-textuality, varying perspective. Finally, the Homeric comparison belongs to an epic vision of the world where an infra logical category such as Singularity plays a capital role. But the analogy must be analyzed also taking into account the Platonic-Pythagorean notion of commensurability (summetria). In this paper written in 2010, I show that the study of Empedokles' fragment 84 permits us to perform this confrontation between the Homeric and the Platonico-Pythagorean model of analogy.