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We study the loci of the Brocard points over two selected families oftriangles: (i) 2 vertices fixed on a circumference and a third one which sweepsit, (ii) Poncelet 3-periodics in the homothetic ellipse pair. Loci obtainedinclude circles, ellipses, and teardrop-like curves. We derive expressions forboth curves and their areas. We also study the locus of the vertices of Brocardtriangles over the homothetic and Brocard-poristic Poncelet families.

Loci of the Brocard Points over Selected Triangle Families