Hi everybody!

I seem to have difficulties to explain my problem
clearly. Here's another try:

With ascii geometry, in a plane:


-------------+
              \
Volume  A      \
                \
-----------------+   <--- point A

          Find the scaled cylinder that will
          smoothly join these two surfaces.

--------------+        <--- point B
             /
  Volume B  /
           /
----------+


Why a scaled cylinder? Because I can the use the solution
to smoothly join two cones with a scaled torus.

The problem is to find the center and the two semi-axis
of an ellipse whose axis are parallel to the world axis,
that is tangent with two given half lines on their end
point. That is:



         \
          \      half line a
           \
            \
             +   <--- end point A


          Find the ellipse that will
          smoothly join these two half lines.


          +        <--- end point B
         /
        /
       /
      /



Thank you for your time,

Sincerely,


Philippe

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