I am using the intersection library for arbitrary paths in PGF 3.0 (PGF manual: $13.3.2) and run into problems.
I am trying to calculate/mark 1) the two intersection points between a hyperbola branch and a circle and 2) the intersection point between a straight line (the real axis of the hyperbola) and the hyperbola branch. The latter case fails. The first case succeeds.
In attachment one there is a detailed description of the problem and in attachment two, a to-the-point Latex/PGF code is provided.
If anybody can explain why the calculation fails for case 2), I will be deligthed to learn why.
Any feedback is highly appreciated.
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