Book:Archimedes/On the Quadrature of the Parabola

Subject Matter

 * Quadrature of Parabola

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 $1 + \frac 1 4 + \paren {\frac 1 4}^2 + \cdots$

Critical View

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