According to a story familiar to Archimedes given the task of determining whether the goldsmith Hiero II of Syracuse embezzling the gold for making a crown dedicated to the gods, and if it replacing it with a cheaper
Archimedes knew that the crown, so irregular, could be crushed into a cube whose volume is easily calculated compared to the mass. But the king did not agree with this.
Baffled, Archimedes took a relaxing bath, and observing the rise of hot water when he entered it, found he could calculate the volume of the gold crown by displacement water. Presumably, in making this discovery was running naked through the streets shouting "Eureka!" Eureka! " (Εύρηκα! in Greek , which means "I found it.") As a result, the term " Eureka " entered common parlance and is used today to indicate a moment of illumination.
The story appeared for the first time in written form De Architectura of Vitruvius , two centuries after it supposedly took place. 2 However, some scholars have doubted the veracity of this story, saying (among other things) that the method would have required precise measurements that would have been difficult to do at that time.
Ivan Avila Monroy
Http://www.monografias.com/trabajos4/ladensidad/ladensidad.shtml
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