Eratosthenes' World Map and His Earth-Radius Calculation
The video starts with Eratosthenes' World Map, dated to around 194 BCE. The host says the map is revolutionary partly because of who made it, and describes Eratosthenes as one of the ancient Greeks considered one of the founding fathers of geography.
Eratosthenes' most famous achievement, the host says, was calculating the radius of the Earth to within 1% of the correct value, giving 6366 kilometers instead of the correct 6378. The calculation relied on basic geometry. Ancient Greek scholars already knew the Earth was round, so if one measured the angle of the sun in two cities at the same moment and knew the distance between them, the radius and circumference could be worked out.
Because one person cannot be in two places at once, Eratosthenes measured in one city one year and in the other city the next year at the same time. The distance between the cities was surveyed by a professional called a bematist, trained to walk in perfectly equal steps. The host notes that the measurements were not exactly precise, but the math mostly held up. The calculations also underpinned the coordinate system of parallels and meridians on his map, the same system that is known today as latitude and longitude.


