I hope you are having a great day!
Suppose that we define N different hemispheres on the surface of a sphere.
Show that the region in which they all overlap is enclosed by their great circles. That is, if we draw all of their great circles on the surface of the sphere, the area where all N hemispheres overlap is delimited by parts ("segments") of the great circles.
I'm curious to know your approach to prove this and I look forward to discussing.
I will admit that I do not understand the situation you have described.
But I have also, at times, been disappointed by your behaviour.
I know you do interact with people sometimes but here is an example of what I have also seen you do (or rather not do)
Alan gave you a great answer here and you did not even comment on it or give him any points.