## X(3050) (INTERSECTION X(6)X(523)∩X(50)X(647))

 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) = a(b2 - c2)(a4 - a2b2 - a2c2 - b2c2)
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(3050) lies on these lines:
6,523    50,647    512,1691    520,2506    669,2513

X(3050) = reflection of X(6) in X(3049)
X(3050) = X(1576)-Ceva conjugate of X(6)
X(3050) = crosspoint of X(I) and X(J) for these I,J: 83,110    112,275
X(3050) = crosssum of X(I) and X(J) for these I,J: 39,523    216,525

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