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Line 62: So, the saw-tooth figure that circumscribes the parabolic segment can be expressed with the "square pyramidal number" of number theory! For the principle of mathematical induction, this circumstance (which was well hidden in (3)) we can reduce the proof to the simple check of the following statement: : the sequence of the areas ratio: 1, 5/8, 14/27, 30/64, ....., P<sub>n</sub>/n<sup>3</sup>, ..... tends at number 1/3, as n tends to infinity (4a) where the numerator of the sequence terms is the nth square pyramidal number P<sub>n</sub>.

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