
With our DirecTV, probably like yours, when searching for what else is on, the current selection is displayed in the upper right-hand corner and you can still hear what the characters are saying. The Big Bang Theory is not a show I watch regularly, in fact, I have never seen it before, but I have the idea of generally what is going on in the show.

For those of you who are dying to know the story of
Archimedes and the King’s Gold Crown
or
When you get out of the tub, don’t forget to get dressed…
Eureka! here it is:

Archimedes was a mathematician, physicist, engineer, inventor, and astronomer. He lived in Greece in the third century BC (287 – 212 BC). (http://en.wikipedia.org/wiki/Archimedes) In fact, it was the tenacity with which he approached problems that cost him his life.
During the Siege of Syracuse when the Romans took over Greece, a soldier told Archimedes to come with him. When he replied that he had to finish this math problem first, the Roman soldier stabbed him. (No this is not an excuse for not doing your homework!)
Two of his greatest contributions were the understanding of the principal of the lever and the invention of the Archimedean screw for lifting and pumping things.
Well his uncle was King Hiero II, king of Syracuse. King Hiero II had provided a certain quantity of gold to the royal goldsmith with which to fashion a votive crown to be placed in the temple. The king was convinced that the royal goldsmith was dishonest and approached Archimedes for a method of determining whether the goldsmith had used all the gold he was given in the crown or if he had substituted a less valuable metal and kept part of the gold for himself.


What he had discovered was that solid objects immersed in water, displace water. In fact, it turns out that the volume of water displaced equals the volume of the object doing the displacement. Of course, knowing the volume and the weight gives the density and through some really neat math it can be determined, for example if the crown was made of pure gold or some mixture.
By the way, the royal goldsmith was shown to be a crook and had, in fact, doctored up the gold with silver to line his pockets with gold.
~klock