## X(667) (CROSSDIFFERENCE OF X(2) AND X(37))

 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            f(a,b,c) : f(b,c,a) : f(c,a,b), where f(a,b,c) = a2(b - c)
Barycentrics    g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = af(a,b,c)

X(667) = radical center of the circumcircle, Brocard circle, and the circle with (diameter = segment X(1)X(3)) (Wilson Stothers, 3/31/2003)

X(667) lies on these lines:
3,1083    36,238    56,764    100,898    101,813    187,237    213,875    514,659    656,832    668,932    692,1110    788,798

X(667) = midpoint of X(649) and X(663)
X(667) = isogonal conjugate of X(668)
X(667) = inverse-in-circumcircle of X(1083)
X(667) = X(I)-Ceva conjugate of X(J) for these (I,J): (100,6), (101,213)
X(667) = crosspoint of X(I) and X(J) for these (I,J): (6,100), (58,101)
X(667) = crosssum of X(I) and X(J) for these (I,J): (2,513), (10,514), (75,693), (100,1332), (120,918), (523,1211), (850,1234)

X(667) = crossdifference of any two points on line X(2)X(37)

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