In this paper, we consider the second of the edge version of geometric-arithmetic (GAe2) index of graphs belonging to the class of geometric-arithmetic indices. It is nearly related to the new versions of vertex Szeged index and vertex PI index of line graphs. The main properties of GAe2 are considered, such as upper and lower bounds. We compare the second version of the edge geometric-arithmetic indices for some graphs, TUC4C6C8[p; q] nanotorus and molecular octane isomers.