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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: UNK
Date: 2010 Dec 24, 15:17 +0000
From: UNK
Date: 2010 Dec 24, 15:17 +0000
A spurious blank in my previous message makes it difficult to read. It should have said: Proof: AA' bisects angle A <-> x = y <-> x : y = 1 <-> b : c = 1 <-> b = c On 2010-12-24 14:57, 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. > > > > > >
