Parabolic Trigonometry

Abstract

Different forms of trigonometry have been proposed in the past to account for geometrical and applicative issues. Along with circular trigonometry, its hyperbolic counterpart has played a pivotal role to provide the geometrical framework of special relativity. The parabolic trigonometry is in between the previous two, and we discuss the relevant properties, point out the analogies with the standard forms and to the elementary problem of the projectile parabolic motion.