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What about some thought for the man who is said to have first worked out the relationship...who knows who it was?...
Interestingly he did not rate pi as his greatest achievement but favoured the relationship of a sphere within a cylinder... volume and surface area being 1.5 times for the cylinder to the sphere.. he was so happy with that one that he wanted a diagram on his tomb stone showing a sphere within a cylinder...and he got his wish...
He also worked out the laws relating to levers... and at the insistence of his King (Hiero) set up a lever system to pull a laden boat upon the shore...
He was able to tell his king that the maker of his crown had added something other than gold to the crown the king had called to be made... having supplied the gold the king asked the Pieman to make sure all the gold was used.... so who was he... think early Australia history and an effort to stand against authority by early gold prospectors..a small tie in there...
alex
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