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Subject: Help with bisectors

I'm implementing a straight skeleton algorithm. Everything works well
for concave and convex polygons of lines.
The algorithm calculates many bisector lines of the polygon edges. For

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(sorry for bad ascii arc)

Now, I need to integrate circular arcs.
The problem is that at a certain point I need to calculate the
mid-curve of a circular arc and a line, and maybe the mid-curve between
two circular arcs. For now I concentrate on first case.

the mid-curve of a circular arc and a line is the curve whose points
are at the same distance from both. I could calculate it numerically,
but I have the suspect that such curve is a cubic one, and I have no
idea how to calculate it.
I know for sure , that the problem can be simplified to "circle-line

The numerical solution would be too slow!
I someone needs the "images" of the problem, I could send them.

Really Thanks in advance


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