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== Quadrature of the Parabola with the "square pyramidal number" (new proof) ==
I found that the "square pyramidal number" can be used to prove the Archimedes' theorem on the area of parabolic segment. The entire proof, carried out without the use of "mathematical analysis", is at the following web adress:
https://drive.google.com/file/d/0B4iaQ-gBYTaJMDJFd2FFbkU2TU0/view?usp=sharing
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