- Dec 16, 2013---------- Forwarded message ----------

From: Chris van Tienhoven

Date: Mon, Dec 16, 2013 at 1:05 PM

Subject: [EGML] X(5390) refined

To: Anopolis@yahoogroups.com

Dear friends,

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.

Best regards,

Chris van Tienhoven