Recent content by gom2

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    Apostol's Archimedes area proof for a parabola

    The book can be viewed here: http://www.scribd.com/doc/5874133/Calculus-Volume-1-686pp67 The proof starts from page 3 and ends at page 8. However, I am confused about the last bit, which is from pages 7-8. If its hard to view on that, and you have bandwidth, please view the PDF file on...
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    Apostol's Archimedes area proof for a parabola

    Sorry and thank you for replying even though I may have been vague! However, I do not understand how you get n that is greater than or equal to \frac{b^3}{A-\frac{b^3}{n}}
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    Apostol's Archimedes area proof for a parabola

    Homework Statement My question is on the last bit of Apostol's proof, in his book Calculus Vol I 2nd ed, where he shows that the area under the parabola = b^{3}/3 where b is the base of the rectangle enclosing the parabola. The bit I am confused about is where his contradiction...