X(2400) (GIBERT-SIMSON TRANSFORM OF X(103))

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

X(2400) lies on the cubic K010 and these lines:
7,522    86,2424    103,675    673,918    677,883    693,1088

X(2400) = isogonal conjugate of X(2426)
X(2400) = isotomic conjugate of X(2398)
X(2400) = X(676)-cross conjugate of X(514)
X(2400) = cevapoint 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.