Revisiting intersection of nine-point circle in the universal mode using novel computing tools (Revisiting Schrödder’s findings)

Abstract

The geometries of points, lines, line segments, triangles and circles have been studied at depth by many learned mathematicians, scholars and researchers for a long period of time. Among these geometries the geometrical properties of nine-point circle is indeed interesting, fascinating and glamorous also. The curiosity present in human mind have motivated the aforesaid community to explore the properties of more than one nine-point circle emerging from four arbitrarily chosen points. In this paper the authors have attempted to simulate a few of them in a user friendly environment and bringing in light a case which is yet not either studied or not found in the prevailing literature, as regards Schro ̈dder’s findings. Key words: Nine-point circle, ortho-centric points, collinear points, MATLAB