Ancient Greeks (Archimedes) almost discovered calculus! | DIw/oI #4

Newton or Leibniz? This never-ending debate on who discovered calculus would be settled if ancient Greeks were not so afraid of the concept of infinitesimals. Archimedes' work calculates the area (called quadrature back then) enclosed by a parabola and a line (i.e. parabolic segment), which is typically solved by calculus today. He had also developed the modern idea of limits, just not in modern notations, so ancient Greeks are really only a few steps away from discovering calculus!

(Translated) Archimedes work: http://www.math.ubc.ca/~cass/archimedes/parabola.html
Alternative URL: https://archive.org/details/worksofarchimede029517mbp/page/n421 (page 422 to 442)

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