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Question: How to find vertices of an equilateral triangle knowing coordinates of centroid?

Question:How to find vertices of an equilateral triangle knowing coordinates of centroid?

toandhsp 300
January 24 2013
0

I want to find a triangle with the vertices A(x1, y1, z1), B(x2, y2, z2), C(x3, y3, z3) knowing that the point G(1,1,1) is centroid of the triagle ABC and x1, y1, z1, x2, y2, z2, x3, y3, z3 are integer numbers, but I can not find. How do I tell Maple to do that? 
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