## X(902) (CROSSPOINT OF X(6) AND X(106))

 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            a(b + c - 2a) : b(c + a - 2b) : c(a + b - 2c)
Barycentrics    a2(b + c - 2a) : b2(c + a - 2b) : c2(a + b - 2c)

X(902) lies on these lines:
1,89    6,31    35,595    36,106    44,678    100,238    109,840    165,614    187,237    518,896    739,813    750,1001

X(902) = isogonal conjugate of X(903)
X(902) = X(106)-Ceva conjugate of X(6)
X(902) = crosspoint of X(6) and X(106)
X(902) = crosssum of X(I) and X(J) for these (I,J): (2,519), (88,1320), (900,1086)
X(902) = crossdifference of any two points on line X(2)X(514)

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