[con.vex] adj [MF or L; MF convexe, fr. L convexus vaulted, concave, convex, fr. com- + -vexus; perh. akin to L vehere to carry--more at way] (1571) 1 a: curved or rounded like the exterior of a sphere or circle b: being a continuous function or part of a continuous function with the property that a line joining any two points on its graph lies on or above the graph
2. a of a set of points: containing all points in a line joining any two constituent points b of a geometric figure: comprising a convex set when combined with its interior "a ~ polygon"