X(154) (X(3)-CEVA CONJUGATE OF X(6))

 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           (cos A - cos B cos C)a2 : (cos B - cos C cos A)b2 : (cos C - cos A cos B)c2
= a(tan B + tan C - tan A) : b(tan C + tan A - tan B): c(tan A + tan B - tan C)

Barycentrics    g(A,B,C) : g(B,C,A) : g(C,A,B), where g(A,B,C) = (sin2 A)(tan B + tan C - tan A)

X(154) = X(2)-of-tangential triangle

X(154) lies on these lines:

X(154) is the {X(26),X(156)}-harmonic conjugate of X(155). For a list of harmonic conjugates of X(154), click More at the top of this page.

X(154) = isogonal conjugate of X(253)
X(154) = X(3)-Ceva conjugate of X(6)
X(154) = crosssum of X(I) and X(J) for these (I,J): (64,1073), (122,525)
X(154) = X(109)-beth conjugate of X(154)

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