Tarry point and more

Statement of the problem

• The general case
• If P is the centroid of ABC, then AQa, BQb, CQb are parallel to XbYc, XcYb, XaYb.
• If P is the centroid and Q lies on the circumcircle of ABC then ZaZbZc is similar to ABC.
• If P is the centroid and Q lies on the Steiner circumellipse of ABC then WaWbWc degenerates in a point.