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(b + c)2(a3 + b3 - c3 + a2c - b2c - ac2)(a3 - b3 + c3 + a2b - bc2 - ab2)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(3031) lies on the Apollonius circle and these lines:
10,125 43,2948 74,573 110,386 113,2051 690,3029 1017,2092 2774,3033 2836,3034 2842,3030