## X(2426) (ISOGONAL CONJUGATE OF X(2400))

 Interactive Applet

You can move the points A, B and C (click on the point and drag it).
Press the keys “+” and “−” to zoom in or zoom out the visualization window and use the arrow keys to translate it.

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            1/f(a,b,c) : 1/f(b,c,a) : 1/f(c,a,b), where f(a,b,c) is as given just before X(2394)
Barycentrics    a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)

X(2426) lies on the cubic K162 and these lines:
6,31    109,692    884,919    1110,2427    2283,2424

X(2426) = isogonal conjugate of X(2400)
X(2426) = X(677)-Ceva conjugate of X(101)
X(2426) = crosspoint of X(I) and X(J) for these I,J: 101,677    109,919
X(2426) = crosssum of X(I) and X(J) for these I,J: 514,676    522,918

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