Archimedes was able to apply the method of exhaustion, which is the early form of integration. He used this method to obtain a whole range of important results, some of which include his unprecedented knack at computing areas and volumes. Archimedes, through pure mathematics, was able to predict many of the discoveries of modern science, such as the integral calculus. Calculus, which was discovered by Newton and Leibnez some two thousand years later, was anticipated through his studies of the areas and volumes of geometrical shapes, of curved solid figures, and the areas of plane figures.

Archimedes invented the compound pulley, which brought

Archimedes is most famous for his inventions that were used as engines of war. These were particularly effective in the defense of Syracuse when the Romans under the command of Marcellus in 212 B.C. attacked it. Archimedes defended the city using a variety of these engines of war. He constructed lenses to focus the sun’s light on Roman ships creating fires. Huge cranes were constructed that would be used to grapple ships and turn them upside down; some ships were lifted to great heights in the air before

plummeting on the rocks below. He also invented the catapult, which hurled large pieces of stone upon the Romans tearing violently through their ranks as they landed. The Roman general Marcellus decided that a direct assault against these machines needed to be reconsidered. He decided to lay siege and starve them out. One night, the people of Syracuse became careless and loosened their defenses and the Romans attacked. The Romans were pillaging and killing without regard for human life. Marcellus wanted Archimedes alive and brought before him. A soldier found Archimedes working through a geometrical proof. The soldier told Archimedes to get up and follow hi

Some topics in this essay:
King Heiron, Marcellus Archimedes, Syracuse Romans, Archimedes Principal, Library Alexandria, Roman Marcellus, Newton Leibnez, Ahead Archimedes, King Hieron, , engines war, archimedes screw, found archimedes, law hydrostatics,