I am using tikzpicture for a long time now and making intersections between lines nicely. Even if I make an intersection between an circle and line works nicely and I also find some threads about that topic online. However, I did not manage to make the intersection between an arc and line. I checked this here (How to Intersect an arc with a line without calculating the angle) but they always work with circles and not arcs. The intersection I try to make is as follows:
\usepackage[utf8]{inputenc}
\usepackage{tikz}
\usetikzlibrary{intersections, calc}
\begin{document}
\begin{figure}[h]
\begin{tikzpicture}
% Points
\coordinate (a) at (0,0);
\coordinate (b) at (0,4);
\coordinate (c) at (0,6);
\coordinate (d) at (4,0);
\coordinate (e) at (6,0);
% Point for analyse line
\coordinate (f) at (7,7);
% Lines
\draw [-] (b) -- node [rotate=90, above] {Symmetry plane} (c);
\draw [-] (d) -- node [below] {Symmetry plane} (e);
% Arcs
\draw [-, name=R1] (d) arc [radius=4, start angle=0, end angle=90];
\draw [-] (e) arc [radius=6, start angle=0, end angle=90];
\path[name=L1] (a) -- (f);
% Intersection point (NOT WORKING)
\path[name intersections={of=L1 and R1, by=B}];
\end{tikzpicture}
\end{figure}
\end{document}
The problem I have here is, that the intersection can not be calculated. Maybe it is not working with arcs but I guess it should work. Using a full circle as a path is working but then the figure is getting bigger based on the circle (hope you get the point). Any idea suggestion is welcomed.
Thanks in advance, Tobi