Subject: Re: Orthocentre
Date: Thu, 1 Jan 1998 09:25:46 -0500
From: Alex Bogomolny
Given a triangle, select a point and drop from it perpendiculars to the sides of the triangle. Connect the feet of the perpendiculars. The triangle thus obtained is called pedal. The point is a pedal point.
Among all pedal points, the orthocenter has the property that the associated pedal triangle has the least perimeter.