## X(960) (INTERSECTION OF LINES X(1)X(6) AND X(5)X(10))

 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) = (b + c - a)(b2 + c2 + ab + ac)
Barycentrics    g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = af(a,b,c)

X(960) lies on these lines:
1,6    2,65    3,997    5,10    8,210    12,908    19,965    21,60    36,191    40,936    46,474    55,78    56,63    113,123    221,1038    241,1042    329,388    758,942    912,993    978,986

X(960) = midpoint of X(1) and X(72)
X(960) = reflection of X(942) in X(1125)
X(960) = isogonal conjugate of X(961)
X(960) = complement of X(65)
X(960) = anticomplementary conjugate of X(442)
X(960) = crosspoint of X(I) and X(J) for these (I,J): (2,314), (8,21)
X(960) = crosssum of X(I) and X(J) for these (I,J): (6,1402), (56,65)

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