## X(250) (ISOGONAL CONJUGATE OF X(125))

 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           (sec A)csc2(B - C) : (sec B)csc2(C - A) : (sec C)csc2(A - B)
= (a2sec A)/(b2 - c2)2 : (b2sec B)/(c2 - a2)2 : (c2sec C)/(a2 - b2)2

Barycentrics    (tan A)csc2(B - C) : (tan B)csc2(C - A) : (tan C)csc2(A - B)

X(250) lies on these lines: 23,232    107,687    110,520    112,691    186,249    325,340    476,933    523,648    827,935

X(250) = isogonal conjugate of X(125)
X(250) = isotomic conjugate of X(339)
X(250) = cevapoint of X(I) and X(J) for these (I,J): (3,110), (25,112), (162,270)
X(250) = X(I)-cross conjugate of X(J) for these (I,J): (3,110), (22,99), (24,107), (25,112), (199,101)

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