"Ardan," asked Barbican, "do you think people could beat iron without a hammer, or turn up furrows without a plough?" "Hardly." "Well, Algebra is an instrument or utensil just as much as a hammer or a plough, and a very good instrument too if you know how to make use of it." "You're in earnest?" "Quite so." "And you can handle the instrument right before my eyes?" "Certainly, if it interests you so much." "You can show me how they got at the initial velocity of our Projectile?" "With the greatest pleasure. By taking into proper consideration all the elements of the problem, viz.: (1) the distance between the centres of the Earth and the Moon, (2) the Earth's radius, (3) its volume, and (4) the Moon's volume, I can easily calculate what must be the initial velocity, and that too by