## X(2407) (GIBERT-SIMSON TRANSFORM OF X(110))

 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            f(a,b,c) : f(b,c,a) : f(c,a,b), where f(a,b,c) is as given just before X(2394)
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(2407) lies on the cubic K010 and these lines:
2,6    98,895    99,112    110,1302    249,2411    250,2409    691,2408    892,2395    1723,2358    2394,2410

X(2407) = isogonal conjugate of X(2433)
X(2407) = isotomic conjugate of X(2394)
X(2407) = cevapoint of X(I) and X(J) for these I,J: 30,1637    647,974
X(2407) = X(1637)-cross conjugate of X(30)
X(2407) = crosspoint of X(648) and X(687)
X(2407) = crosssum of X(647) and X(686)

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