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  3. 1 draw a picture or several and then make a...

Question: 1 draw a picture or several and then make a...

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1. Draw a picture (or several), and then make a calculation for the circumference and radius of the earth, in stadia. Explain all your steps.

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.

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