told him that one of them was forged. F not know whether the forged coin was h or lighter than the rest. Using a two wei, balance, Archimedes found out which w

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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King Heron gave Archimedes 12 gold coins and
told him that one of them was forged. He did
not know whether the forged coin was heavier
or lighter than the rest. Using a two weight
balance, Archimedes found out which was the
fake coin using only 3 measurements. How did
he do it?
Transcribed Image Text:King Heron gave Archimedes 12 gold coins and told him that one of them was forged. He did not know whether the forged coin was heavier or lighter than the rest. Using a two weight balance, Archimedes found out which was the fake coin using only 3 measurements. How did he do it?
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