File:Dedekind cut- square root of two.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
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an older version: File:Dedekind cut sqrt 2.svg

a newer vector version:

Dedekind cut at square root of two


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6 August 2015

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current07:00, 19 August 2015819 × 410 (26 KB)HyacinthFix width

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