In school, we're taught that similes are analogies using "like" or "as". This is clearly just a mnemonic for a comparison between two distinct objects. Metaphors on the other hand combine the two objects being compared, stating them as one. What I'm curious about is whether the construction "object one has the descriptive noun of object two" counts as a simile. Example:
Simile: He ran as fast as a tiger.
Metaphor: When running at full speed, he was a tiger.
Questionable: He ran with the speed of a tiger.
Hypocatastasis: The tiger ran by me. (referring to a man)
Edit: Corrected mislabeled hypocatastasis and added true example of a metaphor.