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 by Charlie)
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.
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Posted by Charlie
on 2008-05-19 12:05:01 |
re(2): Centroid invariance in the face of increasing triangle size
