History

How a stick's shadow measured the whole Earth: Eratosthenes, a well and 5,000 stadia

A dark globe cross-section with two sticks in parallel sunlight: one casts no shadow, the other leans and casts a short shadow, marking a small angle at the Earth's centre
30seconds
The 30-second version

Two sticks, one shadow and one distance were enough for Eratosthenes to size the whole planet around 240 BC. On the summer solstice the noon Sun shone straight down a well at Syene, yet a stick at Alexandria still threw a shadow, and that shadow was one fiftieth of a circle.

Drag a stick around a globe to see why a shadow angle is a slice of the Earth, then turn it into a circumference and test how close it lands, depending on which Greek stadion he meant.

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