[Answer] 6. This headline might have appeared in the third century BC; "Greek Streaker Shouts "Eureka!"" Out of the bathtub and into the history pages; who was this man and why was he so excited?

Step 1 : Introduction to the question "6. This headline might have appeared in the third century BC; "Greek Streaker Shouts "Eureka!"" Out of the bathtub and into the history pages; who was this man and why was he so excited?"

...1. Aristotle on discovering his bath water was too cold 2. Pythagoras on discovering his theorem about triangles 3. Archimedes on discovering the principle of water displacement 4. Homer after completing "The Iliad" Archimedes of Syracuse (c. 287 BC - c. 212 BC) was an expert in several fields including mathematics, physics, engineering and astronomy. The principle of the Archimedes Screw is still used today in water extraction. This headline refers to the incident when Archimedes was asked to evaluate whether or not the gold in a precious crown had been replaced with inferior metals. His problem was that he was not allowed to damage the crown. One day (so the story goes) as he lowered himself into a bath he noticed the level of water increased. He then realised that the volume of displacement could be used to find the density of an object. As different metals have different densities he theorised that he could use this method to find a solution to the problem. So excited was Archimedes by his discovery that he rushed to tell the king his news; in his haste he neglected to put on his robes and ran down the street naked crying "Eureka!" (Greek meaning - "I have found it"). Pythagoras (born between 580 and 572 BC, died between 500 and 490 BC) was a famous mathematician whose theory of the relationship between the sides of right-angled triangles has tormented generations of schoolchildren for centuries. Aristotle (384-322 BC) was a hugely influential philosopher. Homer (dates uncertain) probably needed a long hot bath after completing his epic works "The Iliad" and "The Odyssey".

Step 2 : Answer to the question "6. This headline might have appeared in the third century BC; "Greek Streaker Shouts "Eureka!"" Out of the bathtub and into the history pages; who was this man and why was he so excited?"

Archimedes on discovering the principle of water displacement:

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