His secret 'Method' for finding areas and volumes by mentally slicing shapes and weighing them on an imaginary balance
In a treatise called 'The Method,' Archimedes treated a shape as infinitely many thin slices and balanced them on a lever to find its area or volume — strikingly close to integration. The only known copy was erased and overwritten as a prayer book, then rediscovered in the famous Archimedes Palimpsest and read with modern imaging.
