X(614) (INTERSECTION OF LINES X(1)X(2) AND X(11)X(33))

 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 - 2bc       (M. Iliev, 5/13/07)
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(614) lies on these lines: 1,2    6,354    9,38    11,33    21,988    22,36    25,34    31,57    46,595    63,238    106,998    165,902    251,609    269,479    278,1096    305,350    394,613    496,1062    497,1040    968,1001

X(614) = crosspoint of X(I) and X(J) for these (I,J): (1,269), (28,86)
X(614) = crosssum of X(42) and X(72)

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