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@Article{Rangel-Mondragon:2013:STC, author = "Jaime Rangel-Mondragon", title = "Selected Themes in Computational Non-{Euclidean} Geometry: {Part 1}: Properties of Inversive Geometry", journal = j-MATHEMATICA-J, volume = "15", number = "??", pages = "??--??", month = "????", year = "2013", CODEN = "????", ISSN = "1047-5974 (print), 1097-1610 (electronic)", bibdate = "Sat Mar 15 08:18:49 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/mathematicaj.bib", URL = "http://www.mathematica-journal.com/2013/07/selected-themes-in-computational-non-euclidean-geometry-part-1/", abstract = "This article explores the basic properties of inversive geometry from a computational point of view as a starting point toward the development of non-Euclidean applications to a variety of selected themes. Topics included in this part are involutions, generalized circles, and the inversion of segments, arcs, triangles, and quadrilaterals. The application themes are to Nicomachus's theorem, the inversion of tilings made by regular polygons, and an inversive spirograph.", acknowledgement = ack-nhfb, journal-URL = "http://www.mathematica-journal.com/", }