## X(2969) (3RD MACBEATH POINT)

 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            f(a,b,c) : f(b,c,a) : f(c,a,b), where f(a,b,c) = (b - c)2cos B cos C
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(2969) lies on these lines:
3,915    4,145    19,583    25,105    34,1411    92,427    124,136    125,1146    225,1828    242,468    407,1829    430,1848    867,2968    1118,1398    1565,2973    1785,1878    1824,1830    1870,1884

X(2969) = X(I)-Ceva conugate of X(J) for these I,J: 917,676    2973,1086
X(2969) = X(1015)-cross conjugate of X(1086)
X(2969) = crosssum of X(I) and X(J) for these I,J: 3,1331    184,906    692,2911

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