203197
involute of a circle
 By
 Lazur URH
 Created
 20141011
 Description
 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  Tags

2014 , circle , clipartrequest 203115 , curve , evolvent , function , gear , geometry , involute , Lazur , math , parametric , spiral , tooth profile , URH
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