# Book:Archimedes/On the Quadrature of the Parabola

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## Archimedes:

## Contents

## Archimedes: *On the Quadrature of the Parabola*

Published $\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. $287$ – $212$ B.C.) - 1992: George F. Simmons:
*Calculus Gems*... (previous) ... (next): Chapter $\text {B}.3$: Archimedes' Quadrature of the Parabola