How could two shadows reveal Earth's size?
A local shadow can contain information about the size of a planet. Accounts of Eratosthenes' method connect the difference in the Sun's angle at two places with the distance between them, using geometry to scale up to Earth's circumference. The ancient units and surviving accounts leave room for historical uncertainty.
Questions you could explore
- Which assumptions turn an angle and a distance into a circumference?
Start reading
- MacTutor History of Mathematics, University of St AndrewsEratosthenes of Cyrene
Explains the shadow comparison and parallel-ray assumption, then discusses why the ancient measurement cannot be assigned one undisputed modern accuracy.
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