## X(347) (ISOTOMIC CONJUGATE OF X(280))

 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) = (-1 - cos A + cos B + cos C) sec2(A/2)
Barycentrics    af(A,B,C) : bf(B,C,A) : cf(C,A,B)

X(347) lies on these lines:
1,7    2,92    8,253    34,452    37,948    69,664    75,280    144,219    223,329    227,322    241,1108    573,1020

X(347) = isogonal conjugate of X(2192)
X(347) = isotomic conjugate of X(280)
X(347) = anticomplement of X(281)
X(347) = X(I)-Ceva conjugate of X(J) for these (I,J): (75,7), (348,2)
X(347) = cevapoint of X(40) and X(223)
X(347) = X(I)-cross conjugate of X(J) for these (I,J): (40,329), (221,196), (227,223)
X(347) = crosspoint of X(75) and X(322)

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