ADGEOM 1515

Dear friends,

Given a triangle ABC and its 1st Morley triangle DEF, we denote the line through A parallel to EF by La. Define Lb and Lc. We denote the intersection of Lb and Lc by A1. Define B1 and C1. DA1, EB1 and FC1 concur in a point P.

The trilinears of P={sin(A/3)(sin(2B/3)+sin(2C/3))+sin(B/3)sin(C/3):  :  }. kx=1.348045161..

The center of A1B1C1 and the perspector of A1B1C1 and Morley adjunct triangle would be studied.

 

Best regards,

Seiichi Kirikami.