About this document
Generalization of the Simson Line by Mario Cekic is a document available to read on EtoBox.
1) The document presents a generalization of the Simson-Wallace theorem to polygons with n vertices. It defines the Simson line of a point P lying on the circumcircle of a polygon to be the line containing the feet of perpendiculars from P on the Simson lines of smaller sub-polygons. 2) It proves by induction that the Simson line exists for all polygons with n vertices. The base cases of triangles and quadrilaterals are explicitly proven. 3) Compact notation is introduced to make the inductive proof cle
- Author
- Mario Cekic
- Language
- EN