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) = a[(2bc - ab - ac)2 - (b2 - c2)2]
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(3030) lies on the Apollonius circle and these lines:
10,11 43,57 106,386 373,2177 1293,2291 2796,3029 2832,3034 2842,3031X(3030) = reflection of X(1357) in X(1054)