Hi Paolo,

> Don't you think someone,sooner or later will find a
> mathematical solution
>
> I would say 'Never say never'

Well, the problem is not that there is no solution, it is that there are a huge number of solutions of slightly varying ellipses.

There probably wouldn't be a good way for the algorithm to judge that one ellipse was better than any other, except for the case of having 2 equal radius values which is what the circle solution is...

To narrow down the huge number of solutions to a single one would probably require more steps like picking additional points or specifying a particular minor and major radius value. That is certainly possible to do, but it would make for a rather complex UI (kind of like a big "Ellipse control panel") for something that is just a rather obscure thing...

If building an ellipse in that specific manner is an important thing for you, you will probably need to get some specialized software that is focused a lot on ellipses and conic sections. Programs that are specialized in that will be able to devote a lot more detailed and complex UI to that problem.

- Michael