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[jahikae <>]

I'm working with arrangements using conics as traits-type.
Now, in my application I sometimes have to replace straight line segments of
the arrangement with circular arcs.
The problem is that circular arcs can only be constructed with the rational
number Kernel.
The two original endpoints of the straight segment however can be
irrational. 
So there is no way to preserve these original vertices and at the same time
have the new circular arc passing through them.

What I do until now is taking rational coordinates very close to the
original endpoints and use those as endpoints for the circular arc. But this
messes up my arrangement, because the nearby faces all get merged because of
the gap that I introduce. I have to avoid this somehow.

Is there any way to construct circular arcs having the exact two endpoints
of the original straight line?
And if not, how could I best fix the problem?

Thanks!


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