r DIVERGING, separating or receding from each other, as lines which proceed from the same point; a term of frequent use in mathematics and optics. It is opposed to convergent. A convex lens renders the rays of light convergent; a concave lens, divergent. A convex mirror makes the rays diverge; a concave one, converge. A diverging series in mathematics is a series of which the terms increase more and more the further it is continued.