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NetWatchAnimations and reconstructions show how some of his devices might have worked. For example, you can study the mechanics of Archimedes' claw, a huge crane for upending enemy ships designed to defend his home of Syracuse, a Greek city-state. As the site relates, Archimedes' most famous "discovery" might be apocryphal. He was supposedly bathing when he figured out how to determine if the king's golden crown contained silver; thrilled, he reportedly ran through the streets naked shouting, "Eureka!" Scholars, however, note that his solution--comparing the volume of water displaced by the crown and by an equal mass of pure gold to see if they had the same density--doesn't display his usual creativity and would have required precise measurements hard to obtain at the time.
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Science. ISSN 0036-8075 (print), 1095-9203 (online)