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Locus Problem

Read my article Solving a Locus Problem via Generalization

My colleague, Poobhalan Pillay (retired from the Math Dept, Univ. of KwaZulu-Natal), recently found the following lovely extension to the above problem: Prove that the altitude from Q to XY will always go through P, the centre of the locus of Q.

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Poobhal's extension

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Michael de Villiers, Sept 2009.