File:Irrationality of sqrt2.svg

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Summary

Description 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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Source Own work
Author Smjg
Other versions Image:Irrationality of sqrt2.png (previous, uncoloured version)

Licensing

Public domain This work has been released into the public domain by its author, Smjg. This applies worldwide.
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Smjg grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

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25 July 2007

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Date/TimeThumbnailDimensionsUserComment
current20:10, 28 November 2007Thumbnail for version as of 20:10, 28 November 2007240 × 325 (3 KB)Smjg== Summary == {{Information |Description=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 2''n''-''
17:52, 2 November 2007Thumbnail for version as of 17:52, 2 November 2007240 × 325 (3 KB)Smjg== Summary == {{Information |Description=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 2''n''-''
17:51, 2 November 2007Thumbnail for version as of 17:51, 2 November 2007240 × 325 (3 KB)Smjg== Summary == {{Information |Description=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 2''n''-''
23:04, 25 July 2007Thumbnail for version as of 23:04, 25 July 2007240 × 325 (3 KB)Smjg== Summary == {{Information |Description=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 2''n''-''
22:58, 25 July 2007Thumbnail for version as of 22:58, 25 July 2007512 × 693 (3 KB)Smjg{{Information |Description=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 2''n''-''m'', leading t
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