## X(1440) (X(309)-BETH CONJUGATE OF X(309))

 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) = (1 - cos A)u(a,b,c), where u : v : w = X(309)
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(1440) lies on these lines:
2,77    7,84    27,1014    75,280    86,285    269,1256    271,307    273,279    673,1436

X(1440) = X(I)-cross conjugate of X(J) for these (I,J): (84,189), (269,7), (278,279)
X(1440) = cevapoint of X(84) and X(1422)

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