File:Dedekind cut- square root of two.png

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Original file(819 × 410 pixels, file size: 26 KB, MIME type: image/png)

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Summary

Description
English: Dedekind cut defining √2, an irrational number, using two sets of positive rational numbers. All those whose square is less than two (red), and those whose square is equal to or greater than two (blue).
...
1/1       = 1
7/5       = 1.4
41/29     = 1.413793103448276...
239/169   = 1.414201183431953...
1393/985  = 1.414213197969543...
√2        = 1.414213562373095...
3363/2378 = 1.41421362489487...
577/408   = 1.41421568627451...
99/70     = 1.414285714285714...
17/12     = 1.416
3/2       = 1.5
2/1       = 2
...
After: File:Dedekind cut sqrt 2.svg.
Date
Source Own work
Author Hyacinth
Other versions

an older version: File:Dedekind cut sqrt 2.svg

a newer vector version:

Dedekind cut at square root of two


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Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
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6 August 2015

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Date/TimeThumbnailDimensionsUserComment
current16:00, 19 August 2015Thumbnail for version as of 16:00, 19 August 2015819 × 410 (26 KB)wikimediacommons>HyacinthFix width

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