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    Re: Advancing the LOP
    From: Gary LaPook
    Date: 2015 Apr 28, 07:43 +0000
    Since you brought up the symmedian point, here are some links to when we discussed this back in December 2010.



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    From: Robert Bernecky <NoReply_Bernecky@fer3.com>
    To: garylapook@pacbell.net
    Sent: Monday, April 27, 2015 11:16 AM
    Subject: [NavList] Re: Advancing the LOP

    Following up on Herbert's post,   Herbert has a nice geometric proof that the symmedian point (Gergonne point) (see http://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.

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