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