## X(321) (ISOTOMIC CONJUGATE OF X(81))

 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)b2c2 : (c + a)c2a2 : (a + b)a2b2
= a(b + c)csc(A - ω) : b(c + a)csc(B - ω) : c(a + b)csc(C - ω)

Barycentrics    bc(b + c) : ca(c + a) : ab(a + b)

X(321) lies on these lines:
1,964    2,37    4,8    10,756    38,726    76,561    81,314    83,213    98,100    190,333    226,306    310,335    313,594    319,1029    668,671    693,824

X(321) = reflection of X(42) in X(1215)
X(321) = isogonal conjugate of X(1333)
X(321) = isotomic conjugate of X(81)
X(321) = X(I)-Ceva conjugate of X(J) for (I,J) = (75,10), (76,313), (312,306)
X(321) = cevapoint of X(37) and X(72)
X(321) = X(442)-cross conjugate of X(264)
X(321) = crosspoint of X(I) and X(J) for these (I,J): (75,76), (313,349)
X(321) = crosssum of X(31) and X(32)
X(321) = crossdifference of any two points on line X(667)X(838)

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