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Oct 29, 2020 at 20:34 vote accept slack tide
Oct 29, 2020 at 20:34 comment added slack tide I see. Thanks for taking the time to walk me through this.
Oct 29, 2020 at 20:14 comment added Fedor Petrov not necessarily interior, $q$ may be a boundary point of $C_2$, the whole interval $pq$ (without endpoints) still consists of interior points of $C_2$
Oct 29, 2020 at 19:29 comment added slack tide Just to make sure I am understanding you correctly, you take $q$ to be in the interior of $C_2$ and not in $C_1$ and then consider the line segment between $p$ and $q$.
Oct 29, 2020 at 18:50 history answered Fedor Petrov CC BY-SA 4.0