On Kimberling's X55 Triangle Centre— A PLAGIOGONAL Study

Athanasios Gakopoulos. Farsala. Greece 

Debabrata Nag. Jadavpur University, Kolkata, India

Abstract 

In this work an attempt has been made to propose the PLAGIOGONAL (non-orthogonal) co-ordinates of an important triangle center — known as the internal center of similitude of 

Κάντε κλικ στην εικόνα.

circumcircle and incircle and is earmarked as the triangle center X55 in Kimberling's Encyclopedia of Triangle centers (ETC). We have also re-explored some of the important properties associated with this triangle center along with its property of isogonal confugecy from PLAGIOgonal way.