What did Archimedes find at “EUREKA” moment?

Abstract

Archimedes has been considered as he had found the Law of Buoyancy at “EUREKA” moment. Because, it seems to have been considered that the overflow water volume measurement that Vitruvius wrote, is impossible. After Archimedes, overflow volume measurements have not been done by using of a vessel having enough large opening to put in a practical size crown. Then, it is thought that Archimedes found the Law of Buoyancy at that moment and proved the theft of the goldsmith. In this paper, the measurement of the overflow volume by golden crown etc. has been tried. At a result, it is proved that the measurement can be done with enough accuracy by using a vessel having enough large opening diameter. Archimedes might have proved the theft of the goldsmith by almost the same method to this measurement. From this result, at “EUREKA” moment, Archimedes did not find the Law of Buoyancy but found the solution of the king Hiero’s problem and specific gravity of things. Also this moment must have been when Archimedes got an inspiration of the idea of the law of Buoyancy.