## X(1976) (TRILINEAR POLE OF PU(39))

 Interactive Applet

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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) = a2/(a2cos B cos C - bc cos2A)
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(1976) lies on these lines:
2,98    6,157    25,1501    32,263    37,692    51,251    111,1495    237,694    290,308    351,878    419,685    879,1177    1492,1821

X(1976) = isogonal conjugate of X(325)
X(1976) = X(I)-Ceva conjugate of X(J) for these (I,J): (98,248), (2065,6)
X(1976) = cevapoint of X(I) and X(J) for these (I,J): (6,1691), (232,1968)
X(1976) = crosssum of X(2) and X(147)

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