triangle center

On every triangle there are points where special lines or circles intersect, and those points usually have very interesting geometrical properties. Such points are called triangle centers.

Some examples of triangle centers are incenter, orthocenter, centroid, circumcenter, excenters, Feuerbach point, Fermat points, etc.

For an online reference please check the http://faculty.evansville.edu/ck6/tcenters/Triangle Centers page.

Here is a drawing showing the most important lines and centers of a triangle

(XEukleides source codetriangulo-rev.euk for the drawing)

Title	triangle center
Canonical name	TriangleCenter
Date of creation	2013-03-22 11:55:50
Last modified on	2013-03-22 11:55:50
Owner	mps (409)
Last modified by	mps (409)
Numerical id	13
Author	mps (409)
Entry type	Definition
Classification	msc 51-00
Synonym	triangle centre
Synonym	center
Synonym	centre
Related topic	Orthocenter
Related topic	Centroid
Related topic	EulerLine
Related topic	FermatTorricelliTheorem