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Determine the locus of the orthocenter

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September 13, 2010
geometryrhombusgeometry unsolved

Problem Statement

The points A,B,CA,B,C are in this order on line DD, and AB=4BCAB = 4BC. Let MM be a variable point on the perpendicular to DD through CC. Let MT1MT_1 and MT2MT_2 be tangents to the circle with center AA and radius ABAB. Determine the locus of the orthocenter of the triangle MT1T2.MT_1T_2.
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