X1 INCENTER

Описание: The Incenter (X1) is the meet of the interior angle bisectors (which I like to call bilines). It is the first point on Clark Kimberling's list of triangle centers at the Enyclopedia of Triangle Centers, from which this Geometer's SKetchpad worksheet is taken.

It is important to note that there are actually two bilines at each vertex, and there are also three other points, usually called excenters, which play an analogous role to the incenter. We will see that there is some remarkable symmetry going on here!

Video Contents:

00:00 Introduction to the Incenter (X1)
00:28 Intersection Point as Incenter
01:25 Discussion of Angle Bisectors and Perpendiculars
02:32 X1 as a Core Symmetric Triangle Center

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