Book:Archimedes/On the Quadrature of the Parabola
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Archimedes: On the Quadrature of the Parabola
Published $\text {\text {c. $250$ BCE}}$.
Subject Matter
Contents
- $24$ propositions:
- A proof of the sum of the infinite series $1 + \frac 1 4 + \left({\frac 1 4}\right)^2 + \cdots$
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Critical View
- It is apparent from this treatise that Archimedes was completely aware of the concept of a limit.
Sources
- 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