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A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding
Re: Finding The Symmedian
From: Peter Fogg
Date: 2010 Dec 28, 11:22 +1100
And in particular, what advantage does the Symmedian offer, in comparison to a triangle centre defined by this site as the Incenter:
From: Peter Fogg
Date: 2010 Dec 28, 11:22 +1100
Herbert Prinz wrote:
Why is the Symmedian point to be preferred over any other centre of a triangle?On 2010-12-24 13:56, Peter Fogg wrote:Correct.
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:
if and only if b = c.
Does the line connecting A' and A bisect the angle A?
Proof: AA' bisects angle A <-> x = y < -> x : y = 1 <-> b : c = 1 <-> b = c
Herbert Prinz.
And in particular, what advantage does the Symmedian offer, in comparison to a triangle centre defined by this site as the Incenter:
