On the common points of two families of $N$-spheres in the flat $N+1$ dimensional space, each of which passes through the vertexes of a given $N$-simplex

Vassil K. Tinchev

Let two distinct $N$-simplexes be given in an Euclidean or pseudo-Euclidean $N+1$ dimensional space as each is defined by the coordinates of its $N+1$ vertexes. We consider the two…