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Methinks G can have been estimated. First, it is interesting to note that Eratosthenes estimated the size of the Earth approximately 250 BC. (There's uncertainty about how close he came- somewhere between 1% and 20%- which is pretty good using shadows and the average lope of a camel! Eratosthese found the circumference to be about 250,000 stadia, and there's disagreement about the length of a stadia...er, stadion?)