Ernest Julius Wilczynski, Herbert Ellsworth Slaught 1914 | "Ramanujan—100 years old fashioned or 100 years new fangled? The theorem that the hypotenuse of a right triangle is longer than either of its sides , so the derivation is not simply circular |
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The New England Journal of Education | Jon Orwant; Jarkko Hietaniemi; John Macdonald 1999 |
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Philadelphia: Running Press Book Publishers | , 10 3 , p |
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That fact is rigorously established by noting side CD of right triangle CDP must be less than c because it is necessarily less than the hypotenuse CP of CDP | The proof by Pythagoras probably was not a general one, as the theory of proportions was developed only two centuries after Pythagoras; see , p |