For 10 points, name this inventor of a namesake screw, also famous for saying "Give me a place to stand on and I will move the Earth" and for shouting "Eureka!"
He approximated the value of the square root of 3 as between 265/153 and 1351/780 in his work Measurement of a Circle. This man also attempted to calculate the number of grains of sand in the universe in The Sand Reckoner. He invented a device made from (+) polished bronze shields and mirrors that legendarily destroyed ships during a siege on his home city. This creator of a namesake "heat ray" invented a device consisting of a large blade rotated by hand inside a (*) cylinder to remove bilgewater from the Syracusia. For 10 points, name this inventor of a namesake screw, also famous for saying "Give me a place to stand on and I will move the Earth" and for shouting "Eureka!" after discovering the principle of buoyancy.
He approximated the value of the square root of 3 as between 265/153 and 1351/780 in his work Measurement of a Circle.
{Archimedes}