
Journal for Geometry and Graphics 15 (2011), No. 2, 141158 Copyright Heldermann Verlag 2011 On Polygons Inscribed in Other Polygons Paris Pamfilos Dept. of Mathematics, University of Crete, Knossos Avenue, 71409 Herakleion, Greece pamfilos@math.uoc.gr We discuss closure properties of polygonal paths with vertices on the sides of a given polygon p and sides parallel to given directions v_{i}. In particular it is investigated the question of closedness and periodicity of such paths, which for triangles is shown to be equivalent to Ceva's theorem. Keywords: Thomsen's figure, Ceva's theorem, inscribed polygons. MSC: 51M04; 51N10 [ Fulltextpdf (206 KB)] for subscribers only. 