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.

Best regards,
Alexander Bogomolny

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