X(514) (ISOGONAL CONJUGATE OF X(101))

 Interactive Applet

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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           (b - c)/a : (c - a)/b : (a - b)/c
Barycentrics    b - c : c - a : a - b

As the isogonal conjugate of a point on the circumcircle, X(514) lies on the line at infinity.

X(514) lies on this line: 1,663    2,1022    10,764    30,511    101,664    109,929    190,1016    239,649    241,650    551,676    651,655    659,667    661,693

X(514) = orthopoint of X(516)
X(514) = isogonal conjugate of X(101)
X(514) = isotomic conjugate of X(190)
X(514) = anticomplementary conjugate of X(150)
X(514) = complementary conjugate of X(116)
X(514) = X(I)-Ceva conjugate of X(J) for these (I,J): (4,116), (7,11), (75,244), (100,142), (190,2)
X(514) = X(I)-cross conjugate of X(J) for these (I,J): (11,7), (244,75)
X(514) = crosspoint of X(2) and X(190)

X(514) = crosssum of X(I) and X(J) for these (I,J): (6,649), (37,650), (41,663), (48,652), (55,657), (213,667), (354,513), (1459,1473)

X(514) = crossdifference of any two points on line X(6)X(31)
X(514) = X(513)-Hirst inverse of X(812)

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