## X(1506) (INSIMILICENTER OF MOSES AND NINE-POINT CIRCLES)

 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.

 The JRE (Java Runtime Environment) is not enabled in your browser!

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) = bc[(b2 - c2)2 - 2a2(b2 + c2)]
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(1506) = internal center of similitude of the Moses circle and the nine-point circle. [The external center is X(115); see X(1500); Peter J. C. Moses, 6/2/03.]

X(1506) lies on these lines:
2,32    4,574    5,39    6,17    11,1500    12,1015    51,211    125,217    140,187    384,620    485,1505    486,1504

X(1506) = complement of X(1078)

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