## X(95) (CEVAPOINT OF CENTROID AND CIRCUMCENTER)

 Interactive Applet

You can move the points A, B and C (click on the point and drag it).
Press the keys “+” and “−” to zoom in or zoom out the visualization window and use the arrow keys to translate it.

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           b2c2 sec(B - C) : c2a2 sec(C - A) : a2b2 sec(A - B)
Barycentrics    bc sec(B - C) : ca sec(C - A) : ab sec(A - B)

X(95) lies on these lines:
2,97    3,264    54,69    76,96    99,311    140,340    141,287    160,327    183,305    216,648    307,320

X(95) = isogonal conjugate of X(51)
X(95) = isotomic conjugate of X(5)
X(95) = anticomplement of X(233)
X(95) = X(276)-Ceva conjugate of X(275)
X(95) = cevapoint of X(I) and X(J) for these (I,J): (2,3), (6,160), (54,97)
X(95) = X(I)-cross conjugate of X(J) for these (I,J): (2,276), (3,97), (54,275), (140,2), (340,1494)

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