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.