involute of a circle

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Probably the right curve was a circle's involute.
"...Its successive turns are parallel curves with constant separation distance..."
Not sure how this can be proven, but this seems to fit well with the concept of stroked path -as parallel curves at it's edges-.
Mathematical functions for the parametric curve is
x=a*(cos(t)+t*sin(t))
y=a*(sin(t)-t*cos(t))

More info here:
http://en.wikipedia.org/wiki/Involute
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