Galileo's toes and the fall of bodies: experiment of the tower

For Aristotle, the free-falling body tends to occupy your place natural (soil), moving in a straight line with a speed proportional to its mass. Galileo discusses this phenomenon describing an experiment supposedly held in a tower. For some commentators to your work, this experiment had a bias more rational than empirical. In the development of your reasoning Galileo predicted that a largest iron-ball 100 pounds of mass would hit the ground with a difference "two fingers" in relation to another lighter iron ball of mass 1 pound when both fall from a height 100 fathoms. To check the veracity of this statement, the experiment course reissued based on the history given in the book Discorsi, using a mathematical model implemented by software Mathematica 11.0. The results showed that both balls reach the ground with a difference much larger than two fingers provided by Galileo, more exactly 9.12 m away.