## X(900) (CROSSDIFFERENCE OF X(6) AND X(101))

 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) = (b - c)(b + c - 2a)/a
Barycentrics    (b - c)(b + c - 2a) : (c - a)(c + a - 2b) : (a - b)(a + b - 2c)

As the isogonal conjugate of a point that lies on the circumcircle, X(900) lies on the line at infinity.

X(900) lies on these lines:
11,244    30,511    37,665    100,190    335,876    673,885

X(900) = isogonal conjugate of X(901)
X(900) = X(80)-Ceva conjugate of X(11)
X(900) = crosspoint of X(100) and X(104)
X(900) = crosssum of X(I) and X(J) for these (I,J): (55,654), (513,517), (649,902)
X(900) = crossdifference of any two points on line X(6)X(101)

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