Thursday, April 17, 2025

Triangles (5) ... Excircles (or Escribed circles) + Bevan Circle, Gergonne Point and Nagel point

 

An excircle (or escribed circle) of a triangle is a circle that is tangential to one side of the triangle and the other two sides extended. 

There are three such circles, one corresponding to each side of the triangle. 

In the diagram above the circles with centres X, Y, Z are the excircles of △ ABC