## X(71) (ISOGONAL CONJUGATE OF X(27))

 Interactive Applet

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 Information from Kimberling's Encyclopedia of Triangle Centers

Trilinears           (b + c) cos A : (c + a) cos B : (a + b) cos C
Barycentrics    (b + c) sin 2A : (c + a) sin 2B : (a + b) sin 2C

X(71) lies on these lines:
1,579    3,48    4,9    6,31    35,284    37,65    54,572    63,69    64,198    74,101    165,610    190,290    583,1100

X(71) is the {X(9),X(40)}-harmonic conjugate of X(19).

X(71) = isogonal conjugate of X(27)
X(71) = X(I)-Ceva conjugate of X(J) for these (I,J): (3,228), (9,37), (10,42), (63,72)
X(71) = X(228)-cross conjugate of X(73)
X(71) = crosspoint of X(I) and X(J) for these (I,J): (3,63), (9,219), (10,306)
X(71) = crosssum of X(I) and X(J) for these (I,J): (1,579), (4,19), (28,1127), (57,278), (58,1474)
X(71) = crossdifference of any two points on line X(242)X(514)
X(71) = X(4)-line conjugate of X(242)
X(71) = X(I)-beth conjugate of X(J) for these (I,J): (219,71), (1018,71)

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