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. It is also discussed in The Method.

Two proofs are given. His purely geometric proof was the same as the one documented here, except that he used a different technique to prove:

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

Sources

• 1937: Eric Temple Bell: Men of Mathematics ... (previous) ... (next): Chapter $\text{II}$: Modern Minds in Ancient Bodies
• 1992: George F. Simmons: Calculus Gems ... (previous) ... (next): Chapter $\text {A}.5$: Archimedes (ca. $\text {287}$ – $\text {212}$ B.C.)
• 1992: George F. Simmons: Calculus Gems ... (previous) ... (next): Chapter $\text {B}.3$: Archimedes' Quadrature of the Parabola