X(604) (X(56)-CEVA CONJUGATE OF X(31))

 Interactive Applet

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Download all construction files and macros: tc.zip (10.1 Mb).
This applet was built with the free and multiplatform dynamic geometry software C.a.R..

 Information from Kimberling's Encyclopedia of Triangle Centers

Trilinears            a(1 - cos A) : b(1 - cos B) : c(1 - cos C)
Barycentrics    a2(1 - cos A) : b2(1 - cos B) : c2(1 - cos C)

X(604) lies on these lines: 1,572    6,41    19,909    31,184    32,1106    36,573    57,77    65,1100    109,739    219,672    608,1042

X(604) = isogonal conjugate of X(312)
X(604) = X(56)-Ceva conjugate of X(31)
X(604) = X(32)-cross conjugate of X(31)
X(604) = crosspoint of X(34) and X(57)
X(604) = crosssum of X(I) and X(J) for these (I,J): (2,329), (8,346), (9,78), (306,321)

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

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Departamento de Matemática Aplicada -- Instituto de Matemática -- Universidade Federal Fluminense