\Hy*per"bo*le\, n. [L., fr. Gr?, prop., an overshooting, excess, fr. Gr. ? to throw over or beyond; "ype`r over + ? to throw. See Hyper-, Parable, and cf. Hyperbola.] (Rhet.) A figure of speech in which the expression is an evident exaggeration of the meaning intended to be conveyed, or by which things are represented as much greater or less, better or worse, than they really are; a statement exaggerated fancifully, through excitement, or for effect.
Our common forms of compliment are almost all of them extravagant hyperboles. --Blair.
Your arguements come under the bold.