WI: Archimedes invents calculus

When Archimedes was killed by a Roman soldier, he was working on math solutions involving infintisimals bordering on calculus. Many mathematicians in different parts of the world came close to modern calculus but in OTL the world had to wait until Newton's time. What if, Archimedes lived years longer and invented Newtonian calculus, our understanding of the universe and engineering capabilities would take a big leap forward.
 
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