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File:Lemniscate of Booth.png

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Original file (3,700 × 1,848 pixels, file size: 65 KB, MIME type: image/png)

Summary

A graph of the Lemniscate of Booth. Black is c=0.25, red is c=0.5, green is c=0.75, blue is c=1. Creating using MathPad and GraphicConverter. MathPad source is: 

lob(x,c)=sqrt(-2+2*c-min(x,0)^2+2*sqrt(1-2*c+c^2+min(x,0)^2))
Xmin=-2
Xmax=2
plot lob(X,0.25)
plot lob(X,0.5)
plot lob(X,0.75)
plot lob(X,1)
plot -lob(X,0.25)
plot -lob(X,0.5)
plot -lob(X,0.75)
plot -lob(X,1)

Licensing

Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

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Date/TimeThumbnailDimensionsUserComment
current02:37, 20 June 2006Thumbnail for version as of 02:37, 20 June 20063,700 × 1,848 (65 KB)FoobazA graph of the w:Lemniscate of Booth. Black is c=0.25, red is c=0.5, green is c=0.75, blue is c=1. Creating using w:MathPad and w:GraphicConverter. MathPad source is: <pre> lob(x,c)=sqrt(-2+2*c-min(x,0)^2+2*sqrt(1-2*c+c^2+min(x,0)^2)) Xmin=

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