## X(468) (X(2)-LINE CONJUGATE OF X(3))

 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           u csc 2A : v csc 2B : w csc 2C, where
u : v : w = X(187); e.g., u(a,b,c) = a(2a2 - b2 - c2)

Barycentrics    u sec A : v sec B : w sec C

X(468) lies on these lines: 2,3    98,685    107,842    111,935    230,231    250,325

X(468) = {X(1113),X(1114)}-harmonic conjugate of X(25)
X(468) = {X(1312),X(1313)}-harmonic conjugate of X(427)
X(468) = {X(2),X(1113)}-harmonic conjugate of X(1312)
X(468) = {X(2),X(1114)}-harmonic conjugate of X(1313)

X(468) = midpoint of X(I) and X(J) for these (I,J): (23,858), (186,403)
X(468) = isogonal conjugate of X(895)
X(468) = inverse-in-circumcircle of X(25)
X(468) = inverse-in-nine-point-circle of X(427)
X(468) = X(187)-cross conjugate of X(524)
X(468) = crossdifference of any two points on line X(3)X(647)
X(468) = X(2)-line conjugate of X(3)

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