In his dividing of volumes and areas
into the sum of a large number of individual pieces,
Archimedes was essentially using the calculus ---
2000 years before in was developed
by Newton (1643 - 1727) and Leibniz (1646 - 1716)

Another of Archimedes' achievements also used the ideas of the calculus:

• The area of the spiral is 1/3 the area of the circle

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