Information from Kimberling's Encyclopedia of Triangle Centers |
Trilinears u(-u/x + v/y + w/z) : v(u/x - v/y + w/z) : w(u/x + v/y - w/z), where x : y : z = X(54) and u : v : w = X(61)
Trilinears sin(A + π/6) sin(2A - π/6) : sin(B + π/6) sin(2B - π/6) : sin(C + π/6) sin(2C - π/6) (M. Iliev, 4/12/07)
Trilinears cos 3A - cos(A - π/3) : cos 3B - cos(B - π/3) : cos 3C - cos(C - π/3) (M. Iliev, 4/12/07)Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b), where f(a,b,c) = u(-u/x + v/y + w/z)
X(3205) lies on these lines:
3,3200 6,3206 13,156 14,54 15,1147 17,110 49,61 62,184 203,2477 3107,3202X(3205) = X(54)-Ceva conjugate of X(61)