Around 240 BCE, Eratosthenes of Cyrene produced one of the most remarkable measurements in the history of science: he estimated the circumference of the Earth using sunlight, shadows, geometry, and the known distance between two Egyptian cities.
He had heard that in Syene, near modern Aswan, the Sun shone almost directly overhead at noon on the summer solstice, illuminating the bottoms of deep wells and leaving little or no shadow.
At the same moment in Alexandria, farther north, a vertical stick, or gnomon, did cast a shadow.
That difference was the key.
In Alexandria, Eratosthenes measured the relation between the height of the gnomon and the length of its shadow. From that right triangle, he deduced that the Sun’s rays there made an angle of about 7.2 degrees from the vertical, equivalent to one fiftieth of a full circle.
Since sunlight reaches Earth from such a great distance that its rays are effectively parallel, the angle measured in Alexandria could be interpreted as the angle between Syene and Alexandria at Earth’s centre.
If the distance between the two cities represented one fiftieth of a full circle, then Earth’s total circumference had to be fifty times that distance.
Eratosthenes multiplied the estimated distance from Syene to Alexandria by 50 and obtained a value of about 250,000 stadia.
The exact modern equivalent remains debated because the ancient stadion was not a single fixed unit, but his result was still remarkably close to the true circumference of Earth.
The importance of the calculation lies not only in the numerical result, but in the reasoning behind it.
Eratosthenes transformed a local observation, the length of a shadow in one city and the reported absence of one in another, into a measurement of the entire planet. Without telescopes, satellites, or modern instruments, he showed that the size of Earth could be inferred through careful observation and geometry.
It remains one of the clearest examples of how science can reveal a global truth from simple, ordinary evidence.