## X(513) (ISOGONAL CONJUGATE OF X(100))

 Interactive Applet

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 Information from Kimberling's Encyclopedia of Triangle Centers

Trilinears           b - c : c - a : a - b
Barycentrics    ab - ac : bc - ba : ca - cb

As the isogonal conjugate of a point on the circumcircle, X(513) lies on the line at infinity.

X(513) lies on these lines: 1,764    6,1024    7,885    30,511    36,238    37,876    44,649    59,651    100,765    104,953    105,840    190,660    320,350    663,855    668,889    1052,1054

X(513) = orthopoint of X(517)
X(513) = isogonal conjugate of X(100)
X(513) = isotomic conjugate of X(668)
X(513) = anticomplementary conjugate of X(149)
X(513) = complementary conjugate of X(11)
X(513) = X(I)-Ceva conjugate of X(J) for these (I,J): (1,244), (4,11), (100,1), (101,354), (108,56), (109,65), (190,37)
X(513) = X(244)-cross conjugate of X(1)
X(513) = crosspoint of X(I) and X(J) for these (I,J): (1,100), (4,108), (58,109), (86,190)
X(513) = crosssum of X(I) and X(J) for these (I,J): (1,513), (3,521), (6,667), (10,522), (42,649), (55,650), (142,514), (442,523), (692,906), (900,1145)

X(513) = crossdifference of any two points on line X(1)X(6) X(513) = X(I)-line conjugate of X(J) for these (I,J): (30,518), (36,238)

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