## X(524) (ISOGONAL CONJUGATE OF X(111))

 Interactive Applet

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 Information from Kimberling's Encyclopedia of Triangle Centers

Trilinears           (2a2 - b2 - c2)/a : (2b2 - c2 - a2)/b : (2c2 - a2 - b2)/c
Barycentrics    2a2 - b2 - c2 : 2b2 - c2 - a2 : 2c2 - a2 - b2

As the isogonal conjugate of a point on the circumcircle, X(524) lies on the line at infinity.

X(524) lies on these lines: 2,6    5,576    30,511    53,317    67,858    76,598    99,843    140,575    182,549    239,320    297,340    316,594    319,594    397,633    398,634

X(524) = isogonal conjugate of X(111)
X(524) = isotomic conjugate of X(671)
X(524) = complementary conjugate of X(126)
X(524) = X(I)-Ceva conjugate of X(J) for these (I,J): (4,126), (67,141)
X(524) = X(187)-cross conjugate of X(468)
X(524) = crosssum of X(6) and X(187)
X(524) = crossdifference of any two points on line X(6)X(512)
X(524) = X(I)-line conjugate of X(J) for these (I,J): (4,126), (67,141)

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