A Porism Concerning Cyclic Quadrilaterals. (13th August 2013)

• Record Type: Journal Article
• Authors: Kocik, Jerzy
• Other Names: Planat Michel Academic Editor.
• Is Part Of: Geometry. Volume 2013(2013)
• Publication Date: 2013-08-13
• Subjects: Geometry -- Periodicals; Geometry; Periodicals; 516
• DOI: 10.1155/2013/483727
• Languages: English
• ISSNs: 2314-422X

Abstract

Abstract : We present a geometric theorem on a porism about cyclic quadrilaterals, namely, the existence of an infinite number of cyclic quadrilaterals through four fixed collinear points once one exists. Also, a technique of proving such properties with the use of pseudounitary traceless matrices is presented. A similar property holds for general quadrics as well as for the circle.