## X(220) (X(9)-CEVA CONJUGATE OF X(55))

 Interactive Applet

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 Information from Kimberling's Encyclopedia of Triangle Centers

Trilinears           a(b + c - a)2 : b(c + a - b)2 : c(a + b - c)2
Trilinears           (1 + cos A)2/sin A : (1 + cos B)2/sin B : (1 + cos C)2/sin C      (M. Iliev, 4/12/07)

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

X(220) lies on these lines:
1,6    3,101    8,294    33,210    40,910    41,55    48,963    63,241    64,71    78,949    144,279    154,205    169,517    200,728    201,221    268,577    277,1086    281,594    329,948    346,1043

X(220) = isogonal conjugate of X(279)
X(220) = X(I)-Ceva conjugate of X(J) for these (I,J): (9,55), (200,480)
X(220) = cevapoint of X(1) and X(170)
X(220) = crosspoint of X(9) and X(200)
X(220) = crosssum of X(57) and X(269)
X(220) = crossdifference of any two points on line X(513)X(676)
X(220) = X(I)-beth conjugate of X(J) for these (I,J): (101,221), (220,41), (644,220), (728,728)

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