## X(189) (CYCLOCEVIAN CONJUGATE OF X(8))

 Interactive Applet

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This applet was built with the free and multiplatform dynamic geometry software C.a.R..

 Information from Kimberling's Encyclopedia of Triangle Centers

Trilinears           bc/(cos B + cos C - cos A - 1) : ca/(cos C + cos A - cos B - 1) : ab/(cos A + cos B - cos C - 1)
Barycentrics    1/(cos B + cos C - cos A - 1) : 1/(cos C + cos A - cos B - 1) : 1/(cos A + cos B - cos C - 1)

X(189) lies on these lines: 2,77    7,92    8,20    29,81    69,309    222,281

X(189) = isogonal conjugate of X(198)
X(189) = isotomic conjugate of X(329)
X(189) = cyclocevian conjugate of X(8)
X(189) = anticomplement of X(223)
X(189) = X(309)-Ceva conjugate of X(280)
X(189) = cevapoint of X(84) and X(282)
X(189) = X(I)-cross conjugate of X(J) for these (I,J): (4,7), (57,2), (282,280)

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