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) = (b3 + b2c - ba2 + abc - a2c - ac2)(c3 + c2b - ca2 + abc - a2b - ab2)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(3032) lies on the Apollonius circle and these lines:
10,11 100,386 104,573 119,2051 214,1015 528,3034 952,970 1695,1768 2787,3029