## X(765) (CEVAPOINT OF X(1) AND X(100))

 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            (b - c) -2 : (c - a) -2 : (a - b) -2
Barycentrics    a(b - c) -2 : b(c - a) -2 : c(a - b) -2

X(765) lies on these lines: 1,1052    59,518    100,513    101,898    109,522    238,519    660,662    798,813

X(765) = isogonal conjugate of X(244)
X(765) = isotomic conjugate of X(1111)
X(765) = cevapoint of X(I) and X(J) for these (I,J): (1,100), (31,101)
X(765) = X(I)-cross conjugate of X(J) for these (I,J): (1,100), (9,190), (31,101)
X(765) = crosssum of X(1) and X(1052)

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