Synonyms to on the point

on the brink, about to, at next hand, at the limit, at the periphery, at the threshold, bordering on, close to, close upon, hard on, marginally, near, near to, near upon, nearabout, next door to, nigh, nigh about, not far from, on the borderline, on the edge, on the verge, peripherally, verging on, verging upon