## X(1064) (INTERSECTION OF LINES X(1)X(4) AND X(3)X(31))

 Interactive Applet

You can move the points A, B and C (click on the point and drag it).
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You can also construct all centers related with this one (as described in ETC) using the “Run Macro Tool”. To do this, click on the icon , select the center name from the list and, then, click on the vertices A, B and C successively.

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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) = 1 + 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(1064) lies on these lines:
1,4    3,31    38,912    40,386    42,517    102,112    104,256    238,1006    631,978    942,1042    991,995    1037,1057

X(1064) = isogonal conjugate of X(1065)
X(1064) = crosssum of X(1) and X(1478)

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