What is the center of gravity of the perimeter of a triangle (as when a piece of wire is bent into triangular form)?
(In reply to re: Centroid invariance in the face of increasing triangle size
Just thought of this easy counterexample to the "same as centroid of filled-in triangle" answer:
Consider a very skinny isosceles triangle, as it approaches being just a straight line with zero base. The conventional centroid is 1/3 of the way from the base to the vertex. The CG of the wire frame gets closer and closer to being halfway from the base to the vertex.
Posted by Charlie
on 2008-05-19 12:05:01