## X(1738) (MIMOSA TRANSFORM OF X(105))

 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) = - (cos A)/x + (cos B)/y + (cos C)/z,    x : y : z = X(105)
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)
Barycentrics    g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = 2abc - (b + c)[a2 - (b - c)2]

X(1738) lies on these lines:
1,142    2,968    4,1716    10,75    19,46    43,226    225,1788    238,516    240,522    518,1086    527,1757    528,1279    899,908    946,978    1054,1758    1708,1711    1724,1770

X(1738) = crosspoint of X(75) and X(673)
X(1738) = crosssum of X(31) and X(672)

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