NavList:
A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding
Re: Advancing the LOP
From: Robert Bernecky
Date: 2015 Apr 27, 05:39 -0700
From: Robert Bernecky
Date: 2015 Apr 27, 05:39 -0700
Following up on Herbert's post, Herbert has a nice geometric proof that the symmedian point (Gergonne point) (see https://math.wikia.com/wiki/Inscribed_circle) is the "least-squares" position. As shown in the attachment, it is found by (1) drawing the in-circle, (2) marking the points where the circle is tangent to the triangle's sides, (3) drawing a line from each vertex of the triangle to the opposite sides tangent point, (4) noting the intersection of these lines is the symmedian point.
File:
