Which preposition to use with vertices

of Occurrences 3%

" Dialectic, however, or the vertex of the mathematical sciences, as it is called by Plato in his Republic, is that master discipline which particularly leads us up to an intelligible essence.

at Occurrences 1%

Taking this coast as the base of the triangle or Delta, and its vertex at Kirree, about 170 miles inland, where the Formosa branch separates, we have a space of upwards of 25,000 square miles, equal to the half of England.

Which preposition to use with  vertices