## X(2424) (ISOGONAL CONJUGATE OF X(2398))

 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(2424) lies on the cubic K162 and these lines:
1,905    6,657    56,663    86,2400    103,106    269,513    665,911    676,885    2283,2426

X(2424) = isogonal conjugate of X(2398)
X(2424) = X(677)-Ceva conjugate of X(103)
X(2424) = cevapoint of X(663) and X(665)
X(2424) = crosspoint of X(103) and X(677)
X(2424) = crosssum of X(516) and X(676)

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