Let M be a 2-space form. Let P be a convex polygon in M . For these polygons, we define (and justify) a curvature κ i at each vertex A i of the polygon and and prove the following Blaschke's type theorem: "If P is a convex plygon in M with curvature at its vertices κ i ≥ κ 0 > 0, then the circumradius R of P satisfies ta λ (R) ≤ π/(2κ 0 ) and the equality holds if and only if the polygon is a 2-covered segment"
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.