## X(676) (CROSSDIFFERENCE OF X(3) AND X(101))

 Interactive Applet

You can move the points A, B and C (click on the point and drag it).
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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) = bc(b - c)[b3 + c3 - 2a3 + (b + c)(a2 - bc)]
Barycentrics    g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = af(a,b,c)

X(676) = radical center of the circumcircle, nine-point circle, and incircle (Wilson Stothers, 3/31/2003)

X(676) lies on these lines: 11,244    105,659    230,231    928,942

X(676) = isogonal conjugate of X(677)
X(676) = crosspoint of X(105) and X(108)
X(676) = crosssum of X(I) and X(J) for these (I,J): (6,926), (518,521)
X(676) = crossdifference of any two points on line X(3)X(101)

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