|
Journal for Geometry and Graphics 17 (2013), No. 1, 007--019 Copyright Heldermann Verlag 2013 Some Concyclicity Properties of Convex Quadrilaterals Daniela Ferrarello Dept. of Mathematics and Computer Science, University of Catania, Viale A. Doria 6, 95125 Catania, Italy Maria Flavia Mammana Dept. of Mathematics and Computer Science, University of Catania, Viale A. Doria 6, 95125 Catania, Italy fmammana@dmi.unict.it Mario Pennisi Dept. of Mathematics and Computer Science, University of Catania, Viale A. Doria 6, 95125 Catania, Italy We find some concyclicity properties related to the v-parallelograms and the orthic quadrilaterals of a convex quadrilateral. In particular, we obtain a concyclicity property that allows us to define the second Droz-Farny circle for orthodiagonal quadrilaterals. Keywords: Valtitudes, v-parallelogram, vaxes, orthic quadrilateral, Droz-Farny circles. MSC: 51M04 [ Fulltext-pdf (496 KB)] for subscribers only. |