## X(1973) (TRILINEAR PRODUCT OF PU(39))

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 Information from Kimberling's Encyclopedia of Triangle Centers

Trilinears           f(a,b,c) : f(b,c,a) : f(c,a,b), where f(a,b,c) = a3cos B cos C
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(1973) lies on these lines:
1,19    6,1245    25,41    32,1395    34,1438    47,163    112,741    255,1755    278,1429    604,608    1148,1283    1842,1886

X(1973) = isogonal conjugate of X(304)
X(1973) = X(I)-Ceva conjugate of X(J) for these (I,J): (19,31), (608,1395), (1474,25)
X(1973) = X(I)-cross conjuguate of X(J) for these (I,J): (4,683), (682,3), (1196,2), (1368,305)
X(1973) = crosspoint of X(I) and X(J) for these (I,J): (19,1096), (25,608)
X(1973) = crosssum of X(I) and X(J) for these (I,J): (63,326), (69,345), (312,322), (525,1565)

This is a joint work of
Humberto José Bortolossi, Lis Ingrid Roque Lopes Custódio and Suely Machado Meireles Dias.