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Plane Geometry is about flat shapes like lines, circles and triangles , shapes that can be drawn on a piece of paper
3
votes
Accepted
A quantity associated to a triangle
I can say something for the triangles with acute angles. But the obtuse angles may be a bit of a problem, since the intersection of the altitudes will be outside of the triangle.
For the triangle wit …
3
votes
Three questions concerning lattice points on sphere surfaces
It is not really my area, but the answer to part 2 is that you are looking for the smallest $N$ such that there are exactly $8n-4$ ways of writing it in the form $a^2+b^2$.
If such $N$ is even but i …