section_path: Writings/Surviving works/Quadrature of the Parabola
section_name: Quadrature of the Parabola
paragraph_text: Quadrature of the Parabola
  
  In this work of 24 propositions addressed to Dositheus, Archimedes proves by two methods that the area enclosed by a parabola and a straight line is 4/3 the area of a triangle with equal base and height. He achieves this in one of his proofs by calculating the value of a geometric series that sums to infinity with the ratio 1/4.