## X(798) (CROSSDIFFERENCE OF X(1) AND X(75))

 Interactive Applet

You can move the points A, B and C (click on the point and drag it).
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You can also construct all centers related with this one (as described in ETC) using the “Run Macro Tool”. To do this, click on the icon , select the center name from the list and, then, click on the vertices A, B and C successively.

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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(b2 - c2)
Barycentrics    g(A,B,C) : g(B,C,A) : g(C,A,B), where g(A,B,C) = a3(b2 - c2)

X(798) lies on these lines: 44,513    163,1101    667,788    688,872    765,813

X(798) = isogonal conjugate of X(799)
X(798) = X(163)-Ceva conjugate of X(31)
X(798) = crosspoint of X(31) and X(163)
X(798) = crosssum of X(I) and X(J) for these (I,J): (1,798), (38,661), (86,1019), (99,645), (190,668), (513,1107)
X(798) = crossdifference of any two points on line X(1)X(75)

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