## X(525) (ISOGONAL CONJUGATE OF X(112))

 Interactive Applet

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 Information from Kimberling's Encyclopedia of Triangle Centers

Trilinears           (b cos B - c cos C)/a : (c cos C - a cos A)/b : (a cos A - b cos B)/c
Barycentrics    b cos B - c cos C : c cos C - a cos A : a cos A - b cos B

As the isogonal conjugate of a point on the circumcircle, X(525) lies on the line at infinity.

X(525) lies on these lines: 3,878    30,511    99,249    110,935    297,850    323,401    441,647

X(525) = isogonal conjugate of X(112)
X(525) = isotomic conjugate of X(648)
X(525) = complementary conjugate of X(127)
X(525) = X(I)-Ceva conjugate of X(J) for these (I,J): (4,127), (69,125), (76,339), (99,3), (110,141), (190,440), (253,122)

X(525) = X(I)-cross conjugate of X(J) for these (I,J): (115,68), (122,253), (125,69)
X(525) = crosspoint of X(76) and X(99)
X(525) = crosssum of X(I) and X(J) for these (I,J): (6,647), (32,512), (427,523)
X(525) = crossdifference of any two points on line X(6)X(25)

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