X(2617) (ISOGONAL CONJUGATE OF X(2616))

 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) = cot(B - C)
Barycentrics    (sin A)f(A,B,C) : (sin B)f(B,C,A) : (sin C)f(C,A,B)

X(2617) lies on these lines:
1,564    59,110    63,1956    162,662    1101,2616    2619,2620

X(2617) = isogonal conjugate of X(2616)

X(2617) = X(1101)-Ceva conjugate of X(1)
X(2617) = X(2618)-cross conjugate of X(1)
X(2617) = X(110)-aleph conjugate of X(1)

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