## X(342) (ISOTOMIC CONJUGATE OF X(271))

 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) = (csc 2A tan A/2)(1 + cos A - cos B - cos C)
Barycentrics    g(A,B,C) : g(B,C,A) : g(C,A,B), where g(A,B,C) = (sec A tan A/2)(1 + cos A - cos B - cos C)

X(342) lies on these lines: 4,7    9,653    85,264    92,226    108,1005    196,329    253,318    393,948

X(342) = isogonal conjugate of X(2188)
X(342) = isotomic conjugate of X(271)
X(342) = X(I)-Ceva conjugate of X(J) for these (I,J): (85,92), (264,273)
X(342) = cevapoint of X(208) and X(223)

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