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.
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 486,1504X(1506) = complement of X(1078)