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    Re: Finding The Symmedian
    From: Peter Fogg
    Date: 2010 Dec 28, 11:22 +1100


     Herbert Prinz wrote:
    On 2010-12-24 13:56, Peter Fogg wrote:
    OK, I think I can answer my own question; the distances b and c are the lengths of the sides b and c of the triangle, which leads to another question:

    Correct.


    Does the line connecting A' and A bisect the angle A?

    if and only if b = c.

    Proof: AA' bisects angle A <-> x = y < -> x : y = 1 <-> b : c = 1 <-> b = c

    Herbert Prinz.

     
    Why is the Symmedian point to be preferred over any other centre of a triangle?
    And in particular, what advantage does the Symmedian offer, in comparison to a triangle centre defined by this site as the Incenter:

    http://www.jimloy.com/geometry/centers.htm



       
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