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An illustration of the irrationality of the Square root of 2. Suppose m and n are integers. Then a similar triangle can be constructed with legs m-n and hypotenuse 2n-m, leading to Infinite descent.

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current14:14, 9 June 2005Thumbnail for version as of 14:14, 9 June 2005272 × 366 (6 KB)SmjgAn illustration of the irrationality of the w:Square root of 2. Suppose ''m'' and ''n'' are integers. Then a similar triangle can be constructed with legs ''m''-''n'' and hypotenuse 2''n''-''m'', leading to w:Infinite descent. {{PD}}
14:02, 9 June 2005Thumbnail for version as of 14:02, 9 June 2005272 × 366 (6 KB)SmjgAn illustration of the irrationality of the w:Square root of 2. Suppose ''m'' and ''n'' are integers. Then a similar triangle can be constructed with legs ''m''-''n'' and hypotenuse 2''n''-''m'', leading to w:Infinite descent. {{PD}}
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