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(b + c)2(a3 + a2c - ab2 - b3)(a3 + a2b - ac2 - c3)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(3029) lies on the Apollonius circle and these lines:
10,115 98,573 99,386 114,2051 181,3027 690,2782 970,2782 1682,3023 2786,3033 2787,3032 2795,3034 2796,3030