## X(1078) (INTERSECTION OF LINES X(2)X(32) AND X(3)X(76))

 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) = bc(b2c2 + c2a2 + a2b2 - a4)
Barycentrics    b2c2 + c2a2 + a2b2 - a4 : c2a2 + a2b2 + b2c2 - b4 : a2b2 + b2c2 + c2a2 - c4

X(1078) lies on these lines:
2,32    3,76    5,316    24,264    35,350    39,385    54,69    140,325    186,1235    187,384    194,574    274,404    298,619    279,618    302,635    303,636

X(1078) = anticomplement of X(1506)
X(1078) = X(249)-Ceva conjugate of X(99)

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