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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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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Date/TimeThumbnailDimensionsUserComment
current15:00, 19 August 2015Thumbnail for version as of 15:00, 19 August 2015819 × 410 (26 KB)Hyacinth (talk | contribs)Fix width
14:52, 19 August 2015Thumbnail for version as of 14:52, 19 August 2015841 × 410 (26 KB)Hyacinth (talk | contribs)Bigger square root of two.
15:26, 6 August 2015Thumbnail for version as of 15:26, 6 August 2015819 × 405 (25 KB)Hyacinth (talk | contribs)Fix line
15:23, 6 August 2015Thumbnail for version as of 15:23, 6 August 2015819 × 405 (25 KB)Hyacinth (talk | contribs)Remove number borders
14:05, 6 August 2015Thumbnail for version as of 14:05, 6 August 20151,203 × 253 (25 KB)Hyacinth (talk | contribs)em dash
13:50, 6 August 2015Thumbnail for version as of 13:50, 6 August 20151,203 × 253 (25 KB)Hyacinth (talk | contribs)Narrow for larger text size
13:18, 6 August 2015Thumbnail for version as of 13:18, 6 August 20151,589 × 253 (35 KB)Hyacinth (talk | contribs)User created page with UploadWizard

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