## X(571) (ORTHOHARMONIC OF X(52))

 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 A cos 2A      (M. Iliev, 4/12/07)
Barycentrics    (sin A)f(A,B,C): (sin B)f(B,C,A) : (sin C)f(C,A,B)

X(571) lies on these lines: 3,6    4,96    66,248    112,393    160,184    206,237    230,427    608,913

X(571) = inverse-in-Brocard-circle of X(570)
X(571) = X(4)-Ceva conjugate of X(184)
X(571) = crosspoint of X(2) and X(70)
X(571) = crosssum of X(I) and X(J) for these (I,J): (6,26), (338,525)
X(571) = barycentric product of X(371) and X(372)

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