## X(810) (CROSSPOINT OF X(1) AND X(163))

 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) = sin 2A (cos2B - cos2C)
Barycentrics    g(A,B,C) : g(B,C,A) : g(C,A,B), where g(A,B,C) = sin2A cos A (cos2B - cos2C)

X(810) lies on these lines: 521,656    661,663    667,788

X(810) = isogonal conjugate of X(811)
X(810) = crosspoint of X(1) and X(163)
X(810) = crosssum of X(162) and X(662)
X(810) = crossdifference of any two points on line X(19)X(27)

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