Archimedes (d. 212 B.C.) developed the law of the lever with his Treatise on the Balance. He contributed to arithmetic by devising methods for expressing extremely large numbers. He deduced many new geometrical theorems on spheres, cylinders, circles and spirals. He developed the concept of density and what is now known as “Archimedes’ Principle” for floating bodies. Archimedes’ work stands as one of the most remarkable accomplishments of Greek mathematics. This first printed edition influenced Renaissance scientist-engineers, including Galileo.