He used 'infinity' 1800 years before Newton & Leibniz!
Archimedes, in a work rediscovered in 1906 (The Method of Mechanical Theorems), used concepts startlingly close to integral calculus to find areas and volumes. He employed indivisibles and levers in thought experiments, foreshadowing techniques developed centuries later. This lost knowledge offers a tantalizing glimpse of 'what if' ancient mathematics had taken a different path.
