Having invented proof, the Greeks turned geometry on the sky. They already knew the Earth was a sphere — ships vanished hull-first over the horizon, and the planet cast a curved shadow on the Moon during an eclipse. Eratosthenes went further and measured it, comparing the length of the noon shadow at Alexandria with a city to the south on the same day. Pure geometry gave him the circumference of the world.
This was the dream: a cosmos you could pin down with numbers. Greek astronomers measured the Moon's distance, charted the stars, and built the first mathematical model of the heavens. Perfected by Ptolemy around 150 CE, it placed a motionless Earth at the centre, with the Sun, Moon, and planets riding on nested circles. To make the wandering planets fit perfect circles, Ptolemy added circles upon circles — epicycles — and the contraption predicted the sky well enough to reign for fourteen centuries.
But it rested on two beautiful, wrong assumptions: that the heavens must move in perfect circles, and that we sit still at the centre of everything. Undoing those two ideas would take the better part of two thousand years.