415.--A WONDERFUL VILLAGE.

From Amusements in Mathematics by Henry Ernest Dudeney.

When the sun is in the horizon of any place (whether in Japan or elsewhere), he is the length of half the earth's diameter more distant from that place than in his meridian at noon. As the earth's semi-diameter is nearly 4,000 miles, the sun must be considerably more than 3,000 miles nearer at noon than at his rising, there being no valley even the hundredth part of 1,000 miles deep.

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415.--A WONDERFUL VILLAGE.: Amusements in Mathematics by Henry Ernest Dudeney | amphi