# 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}}$.

### Contents

$24$ propositions:
Two proofs that the area of a parabolic segment is $\frac 4 3$ the area of a triangle with the same base and height.
A proof of the sum of the infinite series $1 + \frac 1 4 + \left({\frac 1 4}\right)^2 + \cdots$

## Critical View

It is apparent from this treatise that Archimedes was completely aware of the concept of a limit.