The figure shows an isosceles triangle ABC with ∠B=∠C . The bisector of angle B intersects the side AC at the point P. Suppose that the base BC remains fixed but the altitude |AM| of the triangle approaches 0, so A approaches the midpoint M of BC.
Question: What is the shape of the trace of P as |AM| goes to 0? Someone from https://answers.yahoo.com/question/index?qid=20130228222650AALgMhb says its a circle and someone else says its an ellipse. My function describes neither. Does anyone else get a circle or ellipse?