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Journal for Geometry and Graphics 15 (2011), No. 2, 141--158
Copyright Heldermann Verlag 2011

On Polygons Inscribed in Other Polygons

Paris Pamfilos
Dept. of Mathematics, University of Crete, Knossos Avenue, 71409 Herakleion, Greece

We discuss closure properties of polygonal paths with vertices on the sides of a given polygon p and sides parallel to given directions vi. 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

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