For one of his discoveries Archimedes was called upon by King Hieron to find out if the crown the king just had made was of pure gold. The king had a suspicion the goldsmith had substituted some other metal for some of the gold. As Archimedes was taking a bath one day he noticed that the more he moved into the tub the more the water was displaced and running over the edge. This led him to believe that items of different mass would put a different amount of water out of the tub. Excited about his discovery it is said that he ran down the streets of Syracuse naked screaming "Eureka, Eureka!". At the castle Archimedes presented to the King the proof by taking a piece of gold with the same mass as the crown and submerged it into the water, when the crown itself was dropped into the water they noticed that more water came out with the crown showing that there was some other metal in the crown besides gold proving the guilt and making the goldsmith a very unhappy …show more content…
A sketch of the screw is on a separate page at the back of the report. The object consisted of a screw, swaddled by a cylinder, that was used with a hand crank. As the crank was turned, the screw spiraled in an upward motion carrying water with it as it went. Even to this day a similar device is in use at the Nile Delta of Egypt to carry water to crops. The King challenged Archimedes to put one of his ships that had run an aground back into the water. To meet the challenge Archimedes contrived a device of compound pulleys that an effortless pull of a rope he was able to guide the ship back into the water. With his interest in astronomy Archimedes also built a model planetarium showing how the planets and moons revolved around the