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[a4 - 2a2bc - 2abc(b + c) - (b2 - c2)2]
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(2478) lies on these lines:
1,908 2,3 8,210 10,1479 11,958 12,1001 55,1329 63,1210 78,950 145,1058 149,1145 264,1896 283,1724 329,938 355,392 388,1319 496,956 499,993 1038,1877 1125,1478 1441,1882 1714,2328X(2478) = anticomplement of X(474)