1. having a surface that is curved or rounded outward. Cf. concave (def. 1).
a. (of a polygon) having all interior angles less than or equal to 180°.
b. (of a set) having the property that for each pair of points in the set the line joining the points is wholly contained in the set.
a convex surface, part, or thing.
Random House Unabridged Dictionary, Copyright © 1997, by Random House, Inc., on Infoplease.