## X(1475) (X(1212)-BETH CONJUGATE OF X(1212))

 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(1212)
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(1475) lies on these lines:
1,672    6,41    39,42    57,279    58,163    71,583    213,1015    218,999    354,1212    579,1449    607,1398    649,764    673,1434    934,1170

X(1475) = X(I)-Ceva conjugate of X(J) for these (I,J): (57,1418), (692,649), (934,663)
X(1475) = crosspoint of X(I) and X(J) for these (I,J): (6,57), (354,1418)
X(1475) = crosssum of X(2) and X(9)

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