Incentral and Excentral Triangles

I have spent a lot of time looking at the centers of these triangles. This page links to many of the topics investigated.

web page	topic
	The incenter itself This is a set of links to articles about aspects of the incenter, which causes so much of the structure of triangle geometrry.
	incentral triangle We look at the incentral triangle as an example of a particular type of algebraic structure, and analyze the structure of the extraversions of its principle strong centers.
	excentral triangle The strong points of this triangle are the weak points of ABC.
	supplementaire the incentral analogue to the complement.
	half angle extraversion Many centers of the in and excentral triangles have half angles in their coordinates. This implies a particular algebraic structure among the extraversions of those points.
	shape parameter Not really complete. The parameter to the left controls the positions on lines of centers the incentral and excentral triangles.
	quadrilaterals related to the incentral and excentral triangles A speculative excursion based upon quadrilaterals related to the incentral and excentral triangles.