Quadrature of Parabola/Historical Note

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Historical Note on Quadrature of Parabola

The quadrature of a parabola was first given by Archimedes in his book On the Quadrature of the Parabola.

His proof was the same as the one documented here, except that he used a different technique to prove:

$\triangle ADC + \triangle CEB = \dfrac {\triangle ABC} 4$