## X(385) (X(2)-HIRST INVERSE OF X(6))

 Interactive Applet

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 Information from Kimberling's Encyclopedia of Triangle Centers

Trilinears           bc(a4 - b2c2) : ca(b4 - c2a2) : ab(c4 - a2b2)
Barycentrics    a4 - b2c2 : b4 - c2a2 : c4 - a2b2

Contributed by John Conway, 1998.

X(385) lies on these lines:
1,257    2,6    3,194    23,523    30,148    32,76    55,192    56,330    98,511    99,187    111,892    115,316    171,894    232,648    248,290    251,308    262,576

X(385) = reflection of X(I) in X(J) for these (I,J): (99,187), (147,1513), (298,395), (299,396), (316,115), (325,230)
X(385) = isogonal conjugate of X(694)
X(385) = isotomic conjugate of X(1916)
X(385) = anticomplement of X(325)
X(385) = X(I)-Ceva conjugate of X(J) for these (I,J): (98,2), (511,401)
X(385) = crosspoint of X(290) and X(308)
X(385) = crosssum of X(I) in X(J) for these (I,J): (141,698), (384,385)
X(385) = crossdifference of any two points on line X(39)X(512)
X(385) = X(I)-Hirst inverse of X(J) for these (I,J): (2,6), (3,194), (171,894)

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