View Full Version : story of eureka

11-25-2003, 03:33 PM
When Hiero was greatly exalted in the royal power at Syracuse, in return
for the success of his policy he determined to set up in a certain shrine a
golden crown as a votive offering to the immortal gods. He let out the
work for a stipulated payment, and weighted out the exact amount of gold
for the contractor. At the appointed time the contractor brought his work
skilfully executed for the king's approval, and he seemed to have fulfilled
exactly the requirement about the weight of the crown. Later information
was given that gold had been removed and an equal weight of silver added in
the making of the crown. Hiero was indignant at this disrespect for
himself, and being unable to discover any means by which he might unmask
the fraud, he asked Archimedes to give it his attention. While Archimedes
was turning this problem over, he chanced to come to the place of bathing,
an there, as he was sitting down in the tub, he noticed that the amount of
water which flowed over the tub was equal to the amount by which his body
was immersed. This indicated to him a means of solving the problem, and he
did not delay, but in his joy leapt out of the tub and, rushing naked
towards his home, he cried out with a loud voice that he had found what he
sought. For as he ran he repeatedly shouting in Greek, "heureka, heureka".

Then, following up his discovery, he is said to have made two masses of the
same weight as the crown, the one of gold and the other of silver. When he
had so done, he filled a large vessel right up to the brim with water, into
which he dropped the silver mass. The amount by which it was immersed in
the vessel was the amount of water which overflowed. Taking out the mass,
he poured back the amount by which the water had been depleted, measuring
it with a pint pot, so that as before the water was made level with the
brim. In this way he found what weight of silver answered with a certain
measure of water.

When he had made this test, in like manner he dropped the golden mass into
the full vessel. Taking it out again, for the same reason he added a
measured quantity of water, and found that the deficiency of water was not
the same, but less; and the amount by which it less corresponded with the
excess of a mass of silver, having the same weight, over a mass of gold.
After filling the vessel again, he then dropped the crown itself into the
water, and found that the more water overflowed in the case of the crown
than in the case of the golden mass of identical weight; and so, from the
fact that more water was needed to make up the deficiency in the case of
the crown than in the case of the mass, he calculated and detected the
mixture of silver with the gold and the contractor's fraud stood revealed.

11-25-2003, 05:13 PM
nice story my dear...keep it up..even though some of us knows this b4, its time to refresh...thanks for the things...:b:

01-15-2004, 02:11 AM
story story..