2023 OIM Problems/Problem 4
Problem
Let and be two fixed points in the plane. For each point , outside of the line , let be the centroid of the triangle . Find the locus of points such that .
Note: The locus is the set of points in the plane satisfying the property.
Solution
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See also
https://sites.google.com/associacaodaobm.org/oim-brasil-2023/pruebas