Using
Cabri-Géomètrie, or Geometers’ SketchPad, construct a circle of
convenient size and a triangle whose vertices lie on the circle. Construct the centroid
of the triangle by joining each vertex of the triangle to the mid-point of the
opposite side. What are the three loci of the centroid as each vertex of the
triangle is allowed to move around the circle in turn?

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Last modified: June 18, 2007