22028Fwd: [EGML] X(5390) refined
- Dec 16, 2013---------- Forwarded message ----------
From: Chris van Tienhoven
Date: Mon, Dec 16, 2013 at 1:05 PM
Subject: [EGML] X(5390) refined
While working on a Morley-related problem, I again stumbled on X(5390).
I simplified the expression of the barycentric coordinates of this point several times.
At first I found a solution of many pages, then many rules, then about 30 terms.
The most recent simplification was a solution of 8 terms.
Now I simplified it to 4 terms.
The 1st trilinear coordinate of X(5390) is:
- Sin[B] Sin[C]
+ Sin[A] Cos[(2 A)/3 - Pi/6]
+ Sin[B] Cos[A + B/3 + Pi/6]
+ Sin[C] Cos[A + C/3 + Pi/6]
Working with Trigonometric formulas isn't that easy.
Even now I cannot assure that this is the most simple solution.
Chris van Tienhoven