## X(1978) (TRILINEAR PRODUCT OF PU(41))

 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) = b3c3/(b - c)
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(1978) lies on these lines:
75,244    99,835    100,789    101,689    190,670    310,321    312,561    668,891    811,1897

X(1978) = isogonal conjugate of X(1919)
X(1978) = isotomic conjugate of X(649)
X(1978) = X(670)-Ceva conjugate of X(668)
X(1978) = cevapoint of X(I) and X(J) for these (I,J): (75,514), (321,693), (646,668), (850,1230)
X(1978) = crosssum of X(669) and X(1924)

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