Image:Lemniscate of Booth.png

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[edit] 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)

[edit] Licensing

Public domain I, the copyright holder of this work, hereby release it into the public domain. This applies worldwide.

In case this is not legally possible:
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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File history

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Date/TimeDimensionsUserComment
current02:37, 20 June 20063,700×1,848 (65 KB)Foobaz (A 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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