## X(1040) (INTERSECTION OF LINES X(1)X(3) AND X(2)X(33))

 Interactive Applet

You can move the points A, B and C (click on the point and drag it).
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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            f(A,B,C) : f(B,C,A) : f(C,A,B),
where f(A,B,C) = cos A - cos A cos B cos C
Barycentrics    g(A,B,C) : g(B,C,A) : g(C,A,B), where g(A,B,C) = (sin A) f(A,B,C)

X(1040) lies on these lines:
1,3    2,33    4,1074    20,34    21,1039    63,212    78,345    226,990    243,1096    497,614    1068,1076

X(1040) = isogonal conjugate of X(1041)
X(1040) = crosspoint of X(I) and X(J) for these (I,J): (21,332), (77,78)
X(1040) = crosssum of X(33) and X(34)

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