ON MÖBIUS TRANSFORMATIONS AND POLYGONS CIRCUMSCRIBING CONICS.

In this article we study the relations of some particular Möbius transformations related to vertices of polygons circumscribing a conic. We explore their geometric properties and apply them to prove the theorems of Siebeck-Marden, Siebeck-Linfield. We show also some necessary and sufficient conditions for three Möbius transformations which allow to define any conic inscribed in a triangle. [ABSTRACT FROM AUTHOR]