Eratosthenes was a Greek mathematician who lived 276-194 BC. At summer solstice he waited until noon,...

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Eratosthenes was a Greek mathematician who lived 276-194 BC. At summer solstice he waited until noon,...

Eratosthenes was a Greek mathematician who lived 276-194 BC. At summer solstice he waited until noon, when the sun was directly overhead in Aswan. He placed a gnomon (basically a stick) at the bottom of the well at 90° to the ground, and noticed that it cast no shadow. Then at the same time he had others place a gnomon in Alexandria. He found that the tip of the gnomon made an angle of 7° to the edge of the shadow, where the gnomon was again at 90° with the ground. Based on records at the Library of Alexandria, he knew that the distance from Aswan to Alexandria was 5,000 stadia.

3. Some historians believe that an Olympic stade, which is 176.4 meters. What % error would this make his calculation off by, when compared to the modern value?

math Advanced-Math

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Eratosthenes was a Greek mathematician who lived 276-194 BC. At summer solstice he waited until noon,...

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Eratosthenes was a Greek mathematician who lived 276-194 BC. At summer solstice he waited until noon,...

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2. One assumption that Eratosthenes made was that the earth was a perfect sphere. What are...

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Eratosthenes was a Greek mathematician who lived 276-194 BC. At summer solstice he waited until noon,...