From: Ed Pegg Jr <ed@mathpuzzle.com>
Subject: Re: 3-Points of a Triangle
Date: Sat, 27 Oct 2001 01:56:19 -0500
Newsgroups: sci.math
Gerald Brown <res043x4@gte.net>
Summary: Complete list of "Centers" of triangles

You should visit the Encyclopedia of Triangle Centers.

Currently, 1114 triangle centers are known.

http://cedar.evansville.edu/%7Eck6/encyclopedia/

--Ed Pegg Jr.


Gerald Brown wrote:

>    Here is a problem that I have been working on for awhile:
> 
>    A 3-point of a triangle is defined as a point where there exists
> three distinct lines through the point and each line divides the
> triangle into two polygons of equal area. Clearly, the centroid of the
> triangle is a 3-point of the triangle. What percent of the area of a
> triangle is the area of the set of 3-points of the triangle?
> 
>                                gdb
> 
> 
> 
>